diff --git "a/data/dm_maths/full_data/10946_11255.jsonl" "b/data/dm_maths/full_data/10946_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10946_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let x = 13.6 + -18. Let r = 4.39885 + x. Round r to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121424814147 minus -250?\nAnswer: -121424813897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(4\/(-16)*3). Let a be (7 + -11)*3\/k + 3. Which is smaller: a or -16\/17?\nAnswer: -16\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -179181 or -179236?\nAnswer: -179181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 5, 2040.5, -0.3 in decreasing order.\nAnswer: 2040.5, 5, 1, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -40. Calculate the highest common divisor of 9 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -793 + 429 + 400 = 12*z. Solve -z*i + 15 = -3*n, -3*i = -0*n - 4*n - 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812952387?\nAnswer: 3, 13, 41, 169471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 24*d**2 - 14*d + 6. Let w(x) be the third derivative of x**5\/30 - x**4\/12 - 75*x**2. Let n(p) = -2*b(p) + 22*w(p). What is k in n(k) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llalqvq. What is prob of sequence lla?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96*q**3 + q**2 + 13*q + 116777.\nAnswer: 288*q**2 + 2*q + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 294, 744, 1552, 2838, 4722, 7324, 10764?\nAnswer: 15162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133761 = -5*c + 4*u + 131059, c - 52950 = -2*u. Suppose 2*x - 7 = -17, -5*x + c = y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 592870, 592618, 592368, 592120?\n\"Answer: t**2 - 255*t + 593124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 - 9cb2?\nAnswer: -9cc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -82, 1, 5, -6.\nAnswer: -82, -6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(27\/(-6))\/9?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 9, y: 9}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.035 - -0.235. Suppose -5*x + 23 = -3*u, -9*u + 4*u = 2*x + 28. Sort u, m, 4\/5 in decreasing order.\nAnswer: 4\/5, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 7*k**2 + 9*k + 31. What is the remainder when 311 is divided by l(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*s - 160 = -18*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 c, and 1 l when four letters picked without replacement from {l: 3, c: 2, i: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*5\/40 + 5808\/128. Is t != 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 604 - 599. Let u(d) be the second derivative of 0*d**4 + 2\/7*d**2 + 1\/70*d**s + 0 + 11*d - 1\/7*d**3. Solve u(j) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1511*c**2 - c - 2. Let f(g) = g. Give m(f(x)).\nAnswer: 1511*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/1)\/(((-3)\/6)\/((-17)\/(-34)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3326 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 - 6*f**3 - 12*f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 49*s**3\/6 + 1048*s. Let l(i) = 19*i. Determine o(l(b)).\nAnswer: 931*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1106*l + 1. Let y be g(1). Let c = 2117\/2 - y. What is the common denominator of -51\/8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5.3490366 from -4923.\nAnswer: -4928.3490366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 6 (b) -0.0036 (c) -6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 22 = -d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 1. Let t be p(-1). Suppose -3*n = 5*c - 295, -4*n + 287 = -n + c. Let m be (-28)\/n + (-8)\/(-20). What is the closest to t in -1, m, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16d (base 14) to base 2\nAnswer: 100100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 2226?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 2807183?\nAnswer: 2807181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/(-52) - (-110)\/8. What is the highest common divisor of n and 252?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/12)\/(-7)*495\/(-55)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*i + 17, 0 = 47*i - 48*i + 4*g - 1. Solve -70*q + 4*u = -65*q + 16, -13 = 4*q - i*u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -246*v**2. Let o(h) = -h. Calculate i(o(n)).\nAnswer: -246*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 0*y - y)*(-2*y - 4*y + 5*y) - 11*y**2 + 64*y**2 + 39*y**2 + (-1 + 4 - 2)*(16*y**2 + 11*y**2 - 4*y**2) in the form c*y**2 + i*y + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3 + 91543002*w**2 = 0.\nAnswer: -45771501, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 6*n - 6. Let t be w(4). Suppose -b - 5*s = -49, t*s + 98 = 2*b - 3*s. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + 6*sqrt(110)*-1)\/(sqrt(90)\/(sqrt(18)\/sqrt(2))).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxrr when four letters picked without replacement from {x: 17, r: 3}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/74? (a) 2 (b) 0.4 (c) -1\/5 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22027 is divided by 220?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 393 + -656. Let h = -125 - z. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*m**3 + 4*m**3 + 2*m**3 - m - 3*m**3 to the form n*m**3 + y*m + z + i*m**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 14 = -l. Let v(m) = -m**3 - 11*m**2 + 42*m. Let d be v(l). Solve -b = -d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, s: 4, k: 10}. Give prob of picking 1 d and 3 k.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 4. Let u(i) = -3*i - 9. What is 5*s(n) + 2*u(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 105582?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -416771\/454 + 918. Is x at least as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 8:26 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84.201335814 + 6.201335674. Let t = j + 78. Round t to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 5 + 4)*(-12*o + 9 + 5*o + 6*o) + (-4 + 2 + 0)*(0 + 0 - 2*o) in the form f + x*o and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29802247043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 704 and 16448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.12*-545.39.\nAnswer: -2247.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68e91 - 5?\nAnswer: 68e8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 276.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 386946368 to the power of 1\/3, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243 - 4 = -63*a + 1454 for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (43 + -3) - 4. Let l = 58 + p. What is the highest common factor of 169 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*m**4 + 27*b*m**3 - b - 382 wrt m?\nAnswer: -8*b*m**3 + 81*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 12:53 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 19298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 2*f - 6, 97*x + 2*f - 14 = 96*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 27 = 3*o, o = f + 5 + 4. Let c = 1 + 4. Suppose 0*a - 3*i = -2*a + c, -i + 17 = 4*a. Solve o*g + 10 = a*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -2. Suppose -x + 10 + y = 0. Suppose 0 = -3*w + 69 - x. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 3 (c) 1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -2\/43, 47 in descending order.\nAnswer: 47, 29, -2\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 4*l - 8 = -4*s, 4*s = l - 2. Solve -5*j - x + 30 - 11 = s, 2*x - 23 = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307680 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: Is 67 a factor of 69270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 168, -0.12 in decreasing order.\nAnswer: 168, 6, 3, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.31+13\nAnswer: 13.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7\/6))**18*(((o*o**(-3)*o)\/o)\/o)\/(o*o\/o**(1\/4)))**27 assuming o is positive.\nAnswer: o**(-2781\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -56*o + 121*o - 58*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.7 (b) -4\/3 (c) -105 (d) -2 (e) -0.1 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 220707058 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - c**2 + c + 5. Let q be u(0). What is the second derivative of -2*a**3 + 3*a**3 + q*a + 3*a**3 - 3*a**3 wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3\/7 - 468*h**2\/7 + 4066*h\/7 - 3600\/7 = 0. What is h?\nAnswer: 1, 8, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*i + 5, i - 15 = 5*y - 8*y. What is o in i*o + 0 + 2\/7*o**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102465 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 10. Let u be (-2)\/(-4) - (-3 + (-41)\/(-2)). Let r(a) = -3*a**2 - a - 29. Let l(p) = u*i(p) - 6*r(p). Determine l(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) + (-22)\/(-4). Suppose p - 2*w + 10 = 0, w - 8 = -15*p + 14*p. Solve -s + 3 = -0*c + p*c, r*s + 30 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*r - 932 - 4168 = 230*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3*i - 4 + 3)*(-5410*i + 5410*i - 8*i**3) as v*i + u*i**2 + h + p*i**3 + k*i**4 and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l - 3. Let f be y(-1). Solve 0 = -f*x - 5*k + 19, 2*x - x - 17 = -5*k for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98993849 smaller than 98993848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*3 + 26296\/(-46710).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u. Let o(s) = -s**2 + 8*s - 3. Let v be o(7). Let a(n) be the first derivative of 7*n**2 - v*n**2 + 3 - 5*n**2. Calculate q(a(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-81)\/(-5)*-20*209\/(-44). Let r = 211 + y. What are the prime factors of r?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 6:17 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 25067896 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6948)\/(-144) - 55 - (-11)\/(-4).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3 + 2)*2)\/(-1). Suppose -3*j + 4 + c = 0. Let d be -186*(-28)\/1743 - (j - -1). Is 0 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 9*r - 15 = 0. Let c(m) = 3*m**3 - 1. Let x(o) = 4*o**3. Calculate r*c(b) + 2*x(b).\nAnswer: -b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 11*a**5\/120 + 28*a**3\/3 + 1. Let y(l) be the third derivative of m(l). Let f(i) = -i. Give -5*f(n) - y(n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1538 + 10221 = -607*k - 462*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 76.46534ng?\nAnswer: 0.00007646534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3280577 centimeters to millimeters.\nAnswer: 3.280577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q - q**2 + 8*q + 3.\nAnswer: -q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**2 + 168. Let v(d) = -3*d - 37. What is v(y(j))?\nAnswer: 6*j - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17886.5 + -4181.\nAnswer: -22067.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9089907.71 less than 1.1?\nAnswer: 9089908.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -93627 - -403627. What is b rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*m + 2 + 4 = 0, 5*g + 4*m + 2 = 0. Let n(h) = 35*h**3 + 15*h**2 - 15*h - 15. Let i(w) = -5*w**3 - 2*w**2 + 2*w + 2. What is g*n(y) - 15*i(y)?\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -23, 0.3, 0.1, -0.4.\nAnswer: -23, -0.4, 0.1, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + sqrt(76))**2.\nAnswer: -4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(3267) + (sqrt(3267) + 1)*4)**2*-3.\nAnswer: -245025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31146245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 - 6*w + 2. Let u(t) be the second derivative of -t**5\/10 - 5*t**3\/6 + t**2 - 12*t. Calculate 3*q(j) - 4*u(j).\nAnswer: -j**3 + 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 0*y**3 - 3 - 1 + y**3 + 6*y**2 - 7*y. Let m be x(-7). What is the nearest to -1\/4 in m, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -40, 0.5, 3\/2, 0.1 in ascending order.\nAnswer: -40, -4, 0.1, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2330 - -141414?\nAnswer: 144244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 7*i**2 - 8*i - 3. Let u be ((-3249)\/27 - -3)*(-24 + 0). Let m be 2\/(-21) - u\/(-462). Determine r(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446*w**4 - 1328*w**3 - 1308*w**2 - 416*w + 10 = 0. Calculate w.\nAnswer: -1, 5\/223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/531196 and -35\/10086?\nAnswer: 1593588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-9)\/(-2)) - (-718)\/3. What is the highest common factor of j and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886797959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011111010010 + 111?\nAnswer: 101011111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*c**5 + 11*c**3 - 11*c**3 + (-2 + 1 + 9)*(-18*c**5 + 4*c**5 - 11*c**5).\nAnswer: -203*c**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 382.9 + -358.9. Which is the closest to 2\/5? (a) -1\/2 (b) d (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 0.48\nAnswer: -0.0336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -54, 57, 3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*k - 20. Let v(d) = -2*d - 6. Let m be v(-7). Calculate the highest common divisor of m and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:22 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 9. Let a(m) = 6*m - 83. Calculate -2*a(s) + 10*n(s).\nAnswer: -2*s + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26322995*q*y + q - 1267560 wrt y?\nAnswer: 26322995*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a2a1 + -137?\nAnswer: a169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/109 + 16235\/218. Let y = h + -76. Let r = 0.4 - 0.5. What is the second smallest value in y, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 5. Let x be w(5). Suppose 2*q + 6 = 5*q. Let l = q - x. Solve -l*u - 2 = -4*h, 5*u + 4 - 11 = 4*h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210\/4710883 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**5\/15 + 639*i**2. Let p(b) = -5*b**2 - 7*b**2 + 2*b**2. Give p(k(v)).\nAnswer: -160*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times 2.609?\nAnswer: 2.3481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1344145 (base 6) to base 4.\nAnswer: 102211001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.874 + -6.874. What is the fourth smallest value in s, -0.5, -371, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21118822 to the nearest integer?\nAnswer: 4596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - u + 2. Let w(b) = -3*b**2 + 1. What is 3*n(f) - 4*w(f)?\nAnswer: 9*f**2 - 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-3 - -17 - 1) - (5 - -3)) + -4.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -155.7 * -53\nAnswer: 8252.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 0*y**2 + y**2 + 11 + (3*y - 2*y**2 - 3*y)*(-4 + 2 + 1).\nAnswer: 3*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 + -142.2. Let f = 73.2 + v. Let q = f - 66.00007. What is q rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 - -132. Let u be (-155)\/(-21) - -2*(-2)\/(-14). Let a = -7 + u. What is the third smallest value in 28, h, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.146 + 0.145913. Round v to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 29007*x\/4.\nAnswer: -3*x*(4*x + 9669)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b - 360 = 0. Calculate the greatest common divisor of 48 and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/91 and -60\/973.\nAnswer: 12649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 29. Let h = m + -5. What is the third smallest value in h, 7, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0586924374 to 5 decimal places.\nAnswer: 0.05869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4458 = -5*n. Is 51 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-5)\/h)*h**(-9)*h**(-8)\/(h\/(h*h*h**8)))**(-1\/23) assuming h is positive.\nAnswer: h**(1\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 13 - 2) + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42132?\nAnswer: 2, 3, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1608)\/(-6030))\/(26\/(-18))*10\/(-6).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**7\/2520 + p**6\/144 - p**5\/20 - p**4\/6 + 3*p**2\/2 - 48*p. Let w(h) be the third derivative of b(h). Factor w(m).\nAnswer: (m - 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.06, 0.09, -12362, -36?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = 0, -3*v - 17708 = 136*t - 137*t. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -104 + 228261?\nAnswer: 228156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 201*m + 978. Give a(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-7)\/((-77)\/(-50))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 961 divide 445904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -n. Suppose i - 74 = -n*i. List the prime factors of i.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -92, -420, -950, -1658, -2520, -3512, -4610, -5790?\n\"Answer: 4*m**3 - 125*m**2 + 19*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67654*a**2*b*p**2 + 3*a**2 - 2049*p**2 wrt b.\nAnswer: -67654*a**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3696081\/218)\/267 + -48?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2425 (base 6) to base 14\nAnswer: -305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 462.0004 + -0.0004. Let j = f - 462. Is -32.6 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-2)*(-24 - -26). Let x(y) = -y + 3. Let n be ((-2)\/(-3))\/((-4)\/(-126)). Let v be 90\/n + 4\/(-14). Let b(a) = a - 4. Give q*x(i) + v*b(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 4:27 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 - 58 - j)*(-140 + 173 - 148 - 270) to m*j + h and give m.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 t, and 1 o when three letters picked without replacement from {t: 1, k: 1, f: 2, o: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3092 is divided by 1017?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1453*f**2 + 10*f - f - 1 - 718*f**2 - 14*f + 629*f**2 to the form c*f + m*f**2 + o and give m.\nAnswer: -1542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*d + 28. List the prime factors of (-3)\/(-12) - 135\/d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 26. Let i be h(9). Let m be -3*(12\/10)\/(i\/(-510)). Let b = m - 37. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0963876 - -36708536.0963876. Let u = 36708536.40000038 - x. Let i = 0.4 - u. What is i rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*a + 555 - 4428 = 4632 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*f**2 - 78*f**2 + 39*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/6 or 113\/18?\nAnswer: 113\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 40. Let t = m - -473. Are 469 and t non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 p, and 1 q when four letters picked without replacement from {p: 3, w: 1, h: 1, c: 2, q: 6}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 885008241, 885008240, 885008239?\nAnswer: 885008238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.100899 + 5519384.18?\nAnswer: 5519384.280899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 12470.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 642 a factor of 5592338535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 493 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -73 + 1?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - a**2. Let u(o) = 6*o**3 - 2*o - 7. Let c(g) = -5*t(g) + u(g). Let b be c(-5). Solve -b*k + 0*k + 12 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -16, -114\/31, 5\/2?\nAnswer: -114\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 402, 394, 382, 366, 346, 322, 294?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 4*u + 18. Let r be i(-3). What is the third derivative of -6*f**4 + 1 - 6*f**3 - 16*f**3 + 5*f**3 + 8*f**4 + r*f**3 - 23*f**2 wrt f?\nAnswer: 48*f - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0*a**4 - 1\/360*a**5 - 1\/2*a**2 + 5*a + 0 + 1\/36*a**3. Let z(q) be the first derivative of y(q). Solve z(k) = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -32 (b) 5 (c) -2 (d) 65 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.1, -0.3, 2\/7 in descending order.\nAnswer: 5.1, 2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.28, -2\/315, -4, 534\/7?\nAnswer: -2\/315","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49755656 to the power of 1\/2, to the nearest integer?\nAnswer: 7054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let t(f) = -367 + 4*f + 4*f + 2*f + 376. Let c(i) = -3*h(i) - t(i). Differentiate c(o) with respect to o.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 15*u**3 + 621050*u**2 + 6428178020*u - 4285728040 = 0.\nAnswer: -20702, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {m: 1, w: 4, u: 1, t: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1855 + (-28)\/49*28. Which is greater: -1875 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g. Let n(m) = -m - 3. Let k be n(-5). Suppose 0 = -4*u + 2*u - v + 9, -k*u = -2*v. Let o be l(u). What is the greatest common factor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 12:47 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -146*c + 100 - 5*c**4 + 145*c - c**3 - 88 + 12*c**4 in the form i*c**3 + m*c + j + b*c**4 + q*c**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 660, 2205, 5210, 10161, 17544?\nAnswer: 27845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1008 - 223626\/1847664.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1659*m + 216807 = 70815. Let h be (-9)\/(-6) + (-1)\/(-2). Suppose d - 8 = -n, 43 = -h*n + 7*n + 4*d. What is the greatest common divisor of m and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q - 1. Let m be g(-1). Suppose 2*p - 2 = f - 8, m = -2*p. Solve -3*o = 5*u - o - 33, f = u - 3*o + 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-13)\/(-10)*120\/(-1710) and -71\/120.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3693*w + 70188. Calculate u(-19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z**3 + 13*z**3 - 17*z**2 + 3 + 7*z**2 - 18*z**3 - 5 to u*z**2 + v*z + x*z**3 + i and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 + 390. Let v = 320.01 - o. What is the third biggest value in -11, v, -0.2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b = 49*b. Solve -c - 7 + 6 = b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**6\/10 - 7*t**3\/6 - 9*t. What is the second derivative of p(g) wrt g?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 913325, 912994, 912663, 912332?\n\"Answer: -331*r + 913656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r**3 + 19*r**2 - 81*r - 45. Is c(28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**7\/21 - 2*i**6\/3 - 3*i**4\/2 + i**3\/3 - 2*i + 1. What is the third derivative of r(x) wrt x?\nAnswer: 120*x**2 - 480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 10*a**2 - 10*a + 12. Let k = -258 - -247. Determine b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 264*w**2 - 5895*w - 39150.\nAnswer: -3*(w + 15)**2*(w + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (7 - (0 + -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(5) + 1 + sqrt(5))*3 + sqrt(5)*-2*-1)**2 + sqrt(40)\/(2*sqrt(1152) + sqrt(1152) - sqrt(1152)) + -3.\nAnswer: -1648 - 5759*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and 13.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -4)*-1 + (-817)\/(-86). Factor z + 1\/2*k**2 - 5*k.\nAnswer: (k - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303, 1168, 2611, 4632, 7231, 10408?\nAnswer: 14163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 14 - (28 + -21 - 21)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 2*r - 17072 + 17084 = 0, u + 2 = 5*r for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -1. Let b be (-1 + (-3)\/(-6))*-8. Suppose 5*k - 4 = 5*t + 6, 10 = -2*t + b*k. Let c(q) = -2*q + 2. What is t*c(y) + d(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126.3 rounded to the nearest ten?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:23 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) -1\/23 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*sqrt(637) + 0 + 3) + 4 + (sqrt(637) - -6*2*sqrt(637))**2 + -4.\nAnswer: -84*sqrt(13) + 107641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 5:06 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2290\/115 - (-26)\/299. Calculate the highest common factor of c and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-320)\/384*(-2 - (-41)\/10).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2. Suppose 3*x - 3*i + 38 = -x, 0 = -i + 6. Let h(v) = -6*v**2 - 6*v + 1. What is x*t(u) - h(u)?\nAnswer: u**2 + 6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1622808 and 2?\nAnswer: 1622808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 7*i + 36 = 4*i, -2*a + 2*i = -52. Let w be 210\/(2*(5 - 4)). What is the greatest common divisor of a and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 110*m - 3210. Let w be z(66). What is the greatest common factor of 150 and w?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-21)\/(-18)) + (-13)\/(-6). Find the third derivative of -2*j**4 - g*j**4 - 23*j**2 + 9*j**2 wrt j.\nAnswer: -96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -32. Let r(n) = -10*n - 1. Let c(u) = 44*u + 3. Let h(b) = -c(b) - 5*r(b). List the prime factors of h(p).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -92444.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*c + 7, 4*o + 2*c + 42 = 50. Put -3, o, -6 in descending order.\nAnswer: o, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103624082, 207248166, 310872250, 414496334, 518120418, 621744502?\nAnswer: 725368586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 92*s - 959. Give h(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 11*q + 19. Let t be d(13). Let l be 3 + t - -1 - -4*3. Is 2 a factor of ((-8)\/9 - (-2)\/l)*-42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvvpvivppppppvpppp. Give prob of picking 2 p and 1 i.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = -o + 2*d + 131, -401 = -2*o - 5*d. What is the remainder when o is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -126 + 157.8. What is c rounded to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((115*k - 135*k + 65*k)*(2*k + k + 0*k) - k**2 + 6*k**2 + 5*k**2)*(1 - 1 - 2*k**2).\nAnswer: -290*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4477 * 3022.\nAnswer: -13529494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 7. Suppose 7*u = 8*u - 5. Suppose -g = -0*g + u*l - f, 3*g - 6 = -l. What is the highest common factor of 4 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 811692 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-one fifths of a millennium?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118 by 59.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 24*m - 20. Let h be l(1). Which is the biggest value? (a) -0.12 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**0*h)\/((h*h**(5\/8))\/h))**(11\/2))**(-33))**(1\/55) assuming h is positive.\nAnswer: h**(-99\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*g = -3, 143 - 165 = -4*p + 2*g for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-6)\/4*-9*(-26)\/(-234).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 0*l - 1\/3*l**4 + 12*l**2 + 1\/5*l**5 + 0*l**3 + 0. What is the second derivative of c(r) wrt r?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.037 and 7.\nAnswer: -0.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-118.\nAnswer: 35.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 48 - 24. Calculate the highest common factor of p and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380476 to the power of 1\/2, to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 13, 25?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbi when three letters picked without replacement from gbiib.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 154 + -104. Calculate the remainder when g is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/8 - 0. Let i = 6 + -6. Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -17. Let w(o) = 0 + 10*o + 5 + o**2 - y*o. What is the units digit of w(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10518\/(-1302) - -8) + ((-975)\/25)\/(-273)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64026.61 decades to years.\nAnswer: 640266.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v - 1 + 1)*(108 + 15 - 7) as p*v + n and give p.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, -6\/109, -0.4, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 3 = 12*z. Find the second derivative of -4*w**3 + 6*w - z*w + 1 - 1 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.5 (b) -5.2 (c) 0.121 (d) -2\/13 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52800 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11419*h*q**2 - 435*h*q + 71901374*h - 2*q wrt q.\nAnswer: 22838*h*q - 435*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 594067 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**3 + 13*p**2 - 17*p - 31. Let w(c) = -c**3 - 3*c**2 + 4*c + 8. Determine 2*q(h) + 9*w(h).\nAnswer: -h**3 - h**2 + 2*h + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8717903408?\nAnswer: 2, 544868963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 387214758 to the nearest integer?\nAnswer: 19678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 215 (b) -2\/5 (c) 1\/10 (d) -51\/163 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*u + 76, 2*u + 68 = -2*o + 4*u. Let n be 83\/8 - o\/(-80). Find t such that -6*t**2 - 4 - n*t - 2*t**3 + 9*t - 8*t + t**3 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -4. Let y(w) = -3*w - 79. Let o be y(-28). Solve -o*u + 2 = j*i, 2*u + 16 = 2*i - 3*u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 4 - (7 + -4) - -14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttstttttttttstttst. What is prob of sequence ttst?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 4225761*x - 17857056029121\/2.\nAnswer: -(x + 4225761)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 42 = 4*o + 4*n, -5*o + 4*n + 38 = 0. Suppose -4 = -3*a - o. Put -4, -3, a in increasing order.\nAnswer: -4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 43 + 25)*(1 + 0 + 7*x - 2).\nAnswer: 357*x - 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 902023.88736 and -0.706.\nAnswer: 902023.18136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j\/(j**(21\/2)\/j)*j*j))*j**28\/j*j*j*(j*(j\/j**(20\/9))\/j*j*j)\/(j*j**(-28)\/j*j) assuming j is positive.\nAnswer: j**(905\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 16) in base 6?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -0*f - 7. Let z be (2 + 16\/(-8))*f\/(-2). Solve 4 = -l - z for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**2 - 98*h - 26*h**4 - 143*h + 626*h**3 + 3*h**5 - 626*h**3 wrt h.\nAnswer: 180*h**2 - 624*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-66) - 794\/(-11) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.28 + 799.28. Let x = b - 789.0000367. What is x rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32404\/699 at most -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -20*m**3 - 13*m**2 - 33*m - 6. Calculate w(-3).\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 94?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in 0.1, -0.14, 0, -2\/77?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-612)\/(-816)*-1*(326\/(-3) + -2). Solve 97*x = y*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-12)*10*2. Suppose 0 = -5*x + o*m + 95, -116 = -5*x + m - 25. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmjpmmjjmmmmmmjp. Give prob of sequence ppj.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**2\/2 + 4*w + 4. Let v be h(-3). Solve v = -3*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1881*z - 3283 = 1948*z for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-27 + 41) - -16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 + 81 = w. Suppose w*i - 4*g + 12 = 6*i, -3*g + 19 = 5*i. Suppose i*p - 8 = f, 0 = -2*f - p + 1 + 5. Solve -2*n = -f - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 1066364?\nAnswer: -1066362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -13*i**2 + 217*i - 736. Let h be m(12). Let d(o) = 0*o + 3*o + 0*o + 6 - o**2. Give d(h).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24102797 - 5?\nAnswer: 24102792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -7*b**3\/6 + b. Let v = -5320 - -5319. Calculate q(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2970*g - 1595. What is the ten thousands digit of x(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbfhfcda. What is prob of picking 1 d and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 0.1, 1\/4, -2, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:26 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*y - 0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 870009 and 124287.\nAnswer: 870009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*274\nAnswer: 5.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*u**4 + 37*a**2*u**2 - 27*a**2 - a*u**4 + 3*a*u**3 wrt u?\nAnswer: 24*a**2*u - 24*a*u + 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31921*v = -12026*v + 119370 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 10 = -3*r, 5*r = 9*s - 4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from wyoloov?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-297)\/(-18) + -5 + (-6 - 0). Let r(p) be the first derivative of 3 + 10*p - c*p**2. Differentiate r(h) wrt h.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 369797 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqooqqccqocqc. Give prob of picking 3 o.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -83*j + 12. Determine w(1).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11918 - -1.\nAnswer: -11917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 4*a - 3. Let k(h) = -2*h - 23. Let v be k(-14). Let x be j(v). Suppose -x*t - 366 = -8*t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/14)\/(-5) - 4650\/(-14). Suppose 0 = 5*f + q - 2747. Suppose f = 5*z - 182. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-20 + 910\/40)*4*1 and 402?\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*d - 20 = 0, 0*d = k - d + 2. Let a(q) be the first derivative of q**2 + q - 1861. Let y(t) = t. Determine k*y(z) + 2*a(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from amaayyamwcmwyyummmmy. What is prob of picking 2 a, 1 y, and 1 m?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17555877859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 75237.43s in nanoseconds?\nAnswer: 75237430000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/9, -0.082 in increasing order.\nAnswer: -5, -0.082, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2 + 2)*(0 - 3 - 1).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**8\/672 + b**7\/420 + b**6\/40 + 13*b**2. Suppose x(i) = 0. Calculate i.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.282 + -4.468. Let v = -7.73 - d. Round v to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3\/2 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwnnwnnnwwnnwnwnwnww. What is prob of sequence nwn?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -490, -4, -1637, -3 in descending order.\nAnswer: -3, -4, -490, -1637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.54 - -24.44. Suppose -6*x + 17*x - 110 = 0. Which is the biggest value? (a) x (b) 0.2 (c) p (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (153\/765 + 234\/5)*-1*(-2 + 3).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**3\/5 + 9*s**2\/5 + 32. Find i, given that x(i) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*r**3 + 77*r**3 - 19*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.24 - 0.56. Let r = o + 0.82. What is the closest to 2 in r, -1\/6, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1) + 6 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 50\/(-18) + (-4)\/18. Let q = o + 3. Let r = 2 + q. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 8*s - 1. Let z(m) = -10*m**2 - 25*m + 4. Let l(i) = -7*d(i) - 2*z(i). Let a be 13\/(-3) + 4\/(-6). What is the units digit of l(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 + 22*k - 2. Let d be p(7). Let t = 5 + -3. Let h = t - -3. Solve -2*x - 2*x + 5*g = -13, -2*g + h = -d*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 31*d**2 - 237*d + 92. Calculate a(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 2*f**2 + 1. Let o be y(-1). Let g(c) = -c - 3. Let n(v) = 1. Suppose 0 = 3*w - 5*w - 4. Let a(m) = w*n(m) - g(m). Determine a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-30)*-3 - -1. Let m = 31\/84 + -1\/28. What is the closest to l in 0.5, -1\/85, m?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 16. Let y be h(14). Solve -4 = m - y*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 6, b: 5, u: 5}. Give prob of sequence gb.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -913*o - 2. Let p be k(-2). Suppose -2*g = 3 + 3, -5*v + 2*g - p = 0. Find the common denominator of v\/(-80) + (-6)\/30 and -25\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 20. Suppose s = -3*b + 12. Suppose -5*w - 20 = 0, b*f - 5*w + 2 = 19. Let n(a) = -6*a**2 + a. Give n(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 56 = 4*a - 4*m, -5*a - 4*m = 61 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {t: 13, s: 5}.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.096 times -0.3\nAnswer: -0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2621 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h - 40. What is y(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 6*l**2 + l**2 + (-4*l + 4*l - 2*l)*(2*l - l - 3*l) - 5*l**2 + 3*l**2 + 3*l**2 + 2 + 0 + 151*l + l**2 - 152*l as x + s*l + a*l**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 11*d - 7. List the prime factors of g(3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-6)\/(-27))\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s - 48*z + 53*z = 233, -4*s - 1 = 5*z for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -1. Suppose -34 + z = b. What is the remainder when 63 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -8.2. Let z = -8 - n. Let l = -0.02 + -0.38. What is the second biggest value in -0.5, l, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*u + 4. Let j(t) = u*t - 10*t + 3*t + 8. Let h(i) = 1. Calculate -14*h(r) + 2*j(r).\nAnswer: -4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 7393 (b) 19\/5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 v when four letters picked without replacement from vviviiivvv.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**2 + 6*h**2 - h**2. Let f(o) = -o**2. Determine f(v(j)).\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 999594 and 71622.\nAnswer: 3114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {b: 2, w: 3, u: 1, z: 3, l: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5371 <= 261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -98666?\nAnswer: -98661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6897975 and 6300.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29823984 by 918.\nAnswer: 32488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2. Suppose 2*d = -d - 21. Let l = -2 - d. Let w(q) = -q**2 + l*q**2 - 2*q**2. Determine w(s(t)).\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -128111 divided by 2\nAnswer: -128111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -12\/482464273 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -99802109.\nAnswer: 5\/99802109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/((-38)\/(-2565)*54)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200284114.\nAnswer: 2, 59, 73, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.9 + 1.1. Let p = 6 - 6.4. Let k = 0.6 + -0.9. Which is the biggest value? (a) j (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4\/13))**30\/(s**25\/s**(16\/3)))**(-3\/23) assuming s is positive.\nAnswer: s**(49\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -3*f**5\/40 - 25*f**4\/24 - 2*f**3\/3 + 207*f - 161. Let k(s) be the first derivative of w(s). Factor k(p).\nAnswer: -p*(p + 8)*(3*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaoq when four letters picked without replacement from {e: 1, r: 1, q: 1, o: 1, a: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -342303024 (base 5) to base 14\nAnswer: -2b9c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8602 - -12347. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 10, 5 in increasing order.\nAnswer: -10, -1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.419 + -0.45. Let m = s + 0.03099969. Round m to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 829?\nAnswer: -4\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 3*c**2 + 3*c. Let o be r(4). Let t = 141 - 96. Suppose 10*g - t = 19*g. Sort 4, o, g.\nAnswer: g, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3754, 12800, 27168, 46858, 71870?\nAnswer: 102204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 1\/2*v**2 - 4*v + 1\/24*v**4 + 1\/4*v**3 + 0. Factor y(z).\nAnswer: (z + 1)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7159*g**2 - 28572*g**2 + 7150*g**2 + 7159*g**2 + 7135*g**2.\nAnswer: 31*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Let t be (-244)\/340 + o\/5. Which is the closest to -1? (a) 0.2 (b) -4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/2)\/(240\/(-192))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let z = 1670419 + -141983488\/85. Let f = 126\/5 - z. Which is smaller: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + 6. Let v(m) = 0 + 3*m + 2 + 2*m**2 - 9*m**3 + 8*m**3 + m**2. List the prime factors of v(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x - 2. Let q(o) = -330*o - 8. Determine -q(w) + 4*r(w).\nAnswer: 338*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05812975 in 0.5, -2\/19, -2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - i**2 + i - 1. Let y(k) = -11*k**3 + 7*k**2 - 6*k + 8. Determine -6*t(q) - y(q).\nAnswer: 5*q**3 - q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/150 + 13 + 888\/(-60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 287708957?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 11. Let y be v(-10). Let n = y - -166. Let j be 1 - (3 - 26\/2). What is the highest common factor of j and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1633999221 and 342.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(98)\/(sqrt(28)\/sqrt(4)) + 2*sqrt(350))\/((-4*(sqrt(84) - (-1*sqrt(84) + sqrt(84))) + sqrt(84) - sqrt(84))\/sqrt(12)) + 3).\nAnswer: -33*sqrt(2)\/2 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*13 + 5 + -53 + 49.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwv when three letters picked without replacement from {v: 7, w: 5}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -2*v + 8, 9*a - 4 = 5*a - 4*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 2:21 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + -0.32. What is the biggest value in o, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -398 + 805. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/n**(-2\/19)*(n*n**0)**(1\/20))**(1\/2) assuming n is positive.\nAnswer: n**(2719\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-76)\/1197 - ((-312)\/(-140) - 0)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -6*v + 13. Solve 0*j = 2*g - j + v, -4*j + 17 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18.3, -1\/129, -105\/16?\nAnswer: -1\/129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*l\/(l*l**(2\/23)))\/l)\/l)\/(l\/(l\/((l**(5\/4)*l)\/l*l))))\/(l*l*l*l**(-22)*l**(-32)\/l) assuming l is positive.\nAnswer: l**(4569\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*g + 1 + 2*g**2 + 112*g as m + v*g + l*g**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (-3*1*sqrt(99) + sqrt(99)) - 5*-1*sqrt(99))\/(sqrt(324) + -3*sqrt(324)*-2)*4.\nAnswer: 16*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 9:41 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 12630000 to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -3*r. Suppose -r*q = -2*m + 4, 5*q - 2*m = -0*m - 4. Solve q*o = c + 2*o + 3, 5*c = -5*o - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3 + 3 + 1 - 3*r + 2*r. Let i be h(1). Let n be (-23)\/(-10) + 10\/(-5). Which is greater: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1418\/(-1))\/(250\/(-35) - -7). Let l = a - 218437\/22. Find the common denominator of l and 59\/148.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -46. Let v be (-12 - -14)\/((-4)\/2 + a). Let m be 0 + (-2 - -3) + (-4)\/v. Solve 0 = -m*t - 9 - 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.1 (b) -2\/3 (c) -2\/14365 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 3*c**2 + c**2)*(c - 3*c + 4*c) + 2*c**3 + 0*c**3 + 0*c**3 + (1 - 4*c**3 - 1)*(375 - 132 - 158).\nAnswer: -336*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 3*k**2 + 5*k + 2. Let z be p(5). Let h = z + 45. Suppose l - h - 22 = 0. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1691*j + 56587 + 44845 - 24019 + 64631 for j.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 50. Suppose 0 = 3*t - 3*m - 432, -j*m + 5*m + 289 = 2*t. List the prime factors of t.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 + -9)\/(-11))\/((-39)\/2).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -467 - -3?\nAnswer: -464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011110100111001001101 + -10011?\nAnswer: 10001011110100111000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5 - 9*f**3 - 2 + 7*f**2 + 0. Suppose -6*x = -13*x - 49. Let k(y) = 4*y**3 - 3*y**2 + 3. Determine x*k(g) - 3*w(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -65501836900 rounded to the nearest 1000000?\nAnswer: -65502000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.32 + -1.52. Let h = 1.234 + d. Let n = 0.534 - h. Sort -0.5, -6, n, -0.1 in descending order.\nAnswer: n, -0.1, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 183 + -93. Calculate the remainder when b is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81305 - 81332.8965. Let v = o - -27.9. What is v rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16020186 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -112 - 10*h**2 - 40 + 136 + 28*h.\nAnswer: -2*(h - 2)*(5*h - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3600 + 79227\/22. Find the common denominator of 101\/22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002394007993 to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 6*u - 3*u)*(-6*u + 3*u + 5*u)*(-2*u - 1 + 1).\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (34\/(-68))\/(3*4\/216)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 19*k + 70. Let d be a(14). Let h be 0 - (d\/6)\/(-2 + 0). Solve 3*g = 4*l, 3*l + g + 18 - 5 = h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 465 - 306. Let f(r) = 132*r**2 + 2. Let k be f(-2). Let c = n + k. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - sqrt(833)*-1) + 3.\nAnswer: 3 + 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 162*o**2 + 7316 + 187*o**2 - 13998 + 7284 wrt o.\nAnswer: 698*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 1\/1)*1. Let k = -2.1 + 2. Let l = 9 - 8.7. Which is the closest to k? (a) l (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-4)*y)\/y)\/y*y**(1\/13)*y)\/(y**0\/y*y*y*y**(-4)*y) assuming y is positive.\nAnswer: y**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286667.451 + -22.\nAnswer: -286689.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 10) to base 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 17*c**2 - 45*c + 2. Let i be l(-14). What is the highest common factor of 484 and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 1. Let k(r) = 2*r - 1. Let f = -10 - -9. Let j(h) = -2*h + h - 12 - 11 - h. Let x be j(-11). Calculate f*n(z) + x*k(z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/161889 and -25\/2821494?\nAnswer: 19750458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7808443 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95011 and 16646?\nAnswer: 225936158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 3. Let q(j) be the first derivative of j**2\/2 - j + 36. Let a be q(10). What is b(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 10*a**2 + 19*a + 12. Let t be h(-8). Let u be (-2)\/(-4) + 6\/t. Let r be (u + (-3 - -9))*(-1)\/(-16). Sort r, 0, -1, 4 in descending order.\nAnswer: 4, r, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1430216*g*x - 3*x - 116390 wrt g.\nAnswer: 1430216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 - 5*q**2 + 80*q + 80.\nAnswer: -5*(q - 4)*(q + 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3 (b) 5 (c) 1\/2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 303, 0.\nAnswer: -5, -1, 0, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -11*n**2 - n - 1. Let s be (3 - 2) + 0 + -2. Give t(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k - 9. Let d(a) = -a + 8. Let u(h) = 3*d(h) + 2*l(h). Let c(j) = 2*j + 11. Let x(b) = -6*c(b) + 11*u(b). Let z(g) = 2*g**2. What is z(x(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -11*c**2\/2 + 4368667*c\/2 - 24027003 = 0?\nAnswer: 11, 4368546\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 580192 = -20*i + 584314. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28934*m - 7260 = -29066*m for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - m**2 - 2*m + 90787. Let n be o(0). Suppose 52*b + 13983 = n. Is b a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 23 + 2. Let f be (-5)\/(-15) + 29\/3. Calculate the greatest common divisor of f and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-906)\/1450 + 82243\/293725?\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1429? (a) -0.1 (b) -1\/4 (c) -66\/89 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 2*a**2 - 8*a - 18. Does 5 divide v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 + 3*a + 2. What is b(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -109 and -1.0190948078848.\nAnswer: -110.0190948078848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 876527?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-5) + -10 + 34\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -47b?\nAnswer: 47c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20525?\nAnswer: 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 425994812349?\nAnswer: 425994812345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 152 = 4*o, -12*o + 2*j - 112 = -15*o. What is the remainder when o is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tro when three letters picked without replacement from rtorrrrrrt?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 8)\/(1\/1). Let u be (s\/(-10))\/(1\/(-6)). Suppose a - 11 = -j - 2, u*j - 3*a = 27. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 53025*c - 159091. Determine y(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/93? (a) -1038 (b) -3 (c) 60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 6*z - 2. Let a be l(4). Solve f = 5*y - 2*y + 13, 2*f = -2*y - a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/(sqrt(5)*-2) + sqrt(2) - sqrt(18)*4) + (-5 + sqrt(18))*1)**2.\nAnswer: 85*sqrt(2) + 339\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1729*p + 3446*p - p**2 - 1717*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81133 is divided by 4772.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, 0.5, 0.4 in descending order.\nAnswer: 0.5, 0.4, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/2354 + 60620\/10593. Find the common denominator of (-4)\/10 + 66\/(-40) and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2098496603 to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n - 24. Let g be (-4 - -7)*(-20)\/(-6). Let t be s(g). Solve -3*l + 4 - t = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/10 + 6)*(27\/15 + -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -43*h**2 + 5*h + 35. Let a(t) = 15*t**2 - 2*t - 12. Let f(w) = 17*a(w) + 6*j(w). What is f(-5)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5 + 13 = 0. Let c(v) = -4*v**2 + 0*v**3 + 2*v**3 - 7*v**3 - 2*v. Let z(n) = -4*n**3 - 3*n**2 - 2*n. Calculate j*z(d) + 5*c(d).\nAnswer: -d**3 - 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + d**2 - 5. Suppose -3 + 3 = 5*i. Give k(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -1\/9, -0.1, -1\/2, -0.23?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/171 and -1\/168?\nAnswer: 9576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 185?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2757*k - 4*k**3 + 5*k**3 - 8 + 12*k**2 + 2767*k. Let f be ((-6)\/(-9))\/((-2)\/33). Determine m(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 39. Sort w, 3, -9 in decreasing order.\nAnswer: 3, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 1088 = 39*h, 2*h = 202*a - 99*a - 106*a - 44 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -6.314.\nAnswer: -6.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 1 - (24 + -18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/20 + 4)\/(409\/(-2045)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*g = 203*g + 1276. Suppose 0 = -643*l + g*l + 15. Find d such that 2\/11*d**5 + 0 - 2\/11*d**4 + 4\/11*d + 2\/11*d**2 - 6\/11*d**l = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.705 and 4.\nAnswer: -70.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -159?\nAnswer: 16\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f - 6. Let b(l) = 286*l + 1. Let v(k) = 237*k - 2. Let q(y) = 5*b(y) - 6*v(y). Suppose m + 0 = 6. Give m*q(n) + 17*i(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1789, -1818, -1897, -2050, -2301, -2674, -3193, -3882?\n\"Answer: -4*c**3 - c**2 + 2*c - 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -943559*m - 1. Let y(h) = h. Give t(y(k)).\nAnswer: -943559*k - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4633103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -0.1, 12, 3, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -3, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -2. Let u(y) = -y**2 + 5*y - 1. Let w be u(4). Suppose -g = r*g - w. Solve -3*f + 2 = -g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 59*s - 97. Calculate r(51).\nAnswer: 311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32587 divided by 297?\nAnswer: 32587\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 + 2*m + 2. Let o be u(-5). Suppose 3*y - o = 110. What are the prime factors of y?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 - 21*j + 2. Let y(q) = 9*q**2 - 22*q + 3. Determine 5*n(k) - 4*y(k).\nAnswer: -k**2 - 17*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11882 by 20985.\nAnswer: 11882\/20985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11\/2 (b) 3 (c) 4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11696\/4128)\/((-2)\/(-24))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 124030 to the nearest one thousand.\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 229594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-6 + 3) + 0. Suppose -g*q - y = -0 - 1, 2*q = -2*y - 2. Let w(x) = x. Let n be w(5). Which is the nearest to -1\/4? (a) n (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -1 + 5 - 3*u**2 + 4 + 8*u + 2*u**2. Let t be q(7). What is the highest common factor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g = -8. Suppose 2*w + 3*t + 63 = 5*w, -g*w + 69 = t. Suppose -a - 3 + w = 5*x, 0 = -a. Solve c = x*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-225)\/6)\/(3\/(-18)). Calculate the greatest common divisor of m and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 259*a**2 + 523*a**2 - 258*a**2.\nAnswer: 6*a**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*1*sqrt(15) + 3*-2*sqrt(15))\/(sqrt(45) - ((sqrt(45) + sqrt(180))*-6 - sqrt(45))).\nAnswer: -5 - sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 + -70. Suppose 50 = -x*w + 3*w. Let z(n) = -2*n**3 - 5*n**2 + 9. Let m(b) = b**3 + 2*b**2 - 4. Give w*z(u) - 5*m(u).\nAnswer: -u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1027.5906 to the nearest ten.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (69\/414)\/(7\/(-6))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f = -22*f + 324. Let p = f - -85. Suppose n + 2*j = -0*n + 35, p*j = 5*n - 105. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564308.73 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -97*n**3 + n**2. Let r be y(-1). Let s = 173 - r. Let p be (-18)\/(-5) + 30\/s. Solve p*l + l + 20 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 184 + 0*p**2 + 2*p**2 - 10*p - 207 wrt p?\nAnswer: 4*p - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25663, -51323, -76983, -102643, -128303, -153963?\nAnswer: -179623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 11. What is f(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*p = -521 - 1965 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 + -85. Let t = -182 + v. Let y = t + 116. Solve 0*f - y*j - 14 = -f, 3*f + 28 = -5*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 371.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -291*c + 16. Let h(m) = 91*m - 5. Let k(g) = -16*h(g) - 5*z(g). Let p(t) be the third derivative of t**5\/30 - t**2. What is k(p(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -20*d**3 - d - 1. Let f(m) be the second derivative of m**5\/20 - m**3\/6 - m**2\/2 + 707*m. What is -f(k) + y(k)?\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -13*v - 11. Let i be b(-1). Factor 1\/3*o**i + 2\/3*o + 1\/3.\nAnswer: (o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.5 (b) 5\/7 (c) -221 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 1 - (-19 - -24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 + 12*k**3 - 2*k**3.\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 7*m**2 + 0*m**2 + 9*m - 7 - 3 - 6*m**2. Let h be y(-10). Suppose -9*o + 3*o + 30 = h. Solve 4*l + 4 = o*r, -3 = 6*l - 3*l + 5*r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/168 and -25\/12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t - 2. Let w(m) = -1. Let z(n) = -d(n) + 5*w(n). What is z(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:22 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 26733 to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -181329519 + -1?\nAnswer: -18132951a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*a - 10 = 0, 6 = 3*q + 3*a - 4*a. Suppose 0 = 5*k - 2*l - 452, -4*k - q*l + 384 = 2*l. Calculate the remainder when k is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -29 + 4, 2*c + 2*k = 4. Suppose 0 = -2*h + 2, 424 = 2*g - h + 17. Put 5, c, g in descending order.\nAnswer: g, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(((p\/p**(-7))\/p)\/p)\/p*((p*p**7)\/p)\/p)\/(p**(-2)\/p)**(-10)*(p**0)**(-6\/11)*p**7*p**(-6) assuming p is positive.\nAnswer: p**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/5 + 126*s - 10999\/5.\nAnswer: (s - 17)*(s + 647)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1719\/8 and 216 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 40 = -5*a. Calculate the remainder when 38 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 9*n**2 + 8*n + 2. Let p be r(-8). Let h be (3\/6)\/(p\/(-36)*-3). Suppose -u - 1 = -4*g, h*u - 5*u + 4 = -2*g. Solve 0*o = -o - g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 582\/5 + 6\/(-15). Suppose -4*p - 5*c = -k, -5*c = -5*p + 45 + 55. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 407*z + 10. Let t(l) = 204*l + 6. Determine -3*s(g) + 5*t(g).\nAnswer: -201*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5 - 15192*k**4 - 26011188*k**3 - 15656908854*k**2 - 1022710181769*k + 6705547938126 = 0. What is k?\nAnswer: -1663, -81, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y + 2*y**2 - 3*y**2 - 8*y. Let r(v) be the first derivative of -20*v**3\/3 + 24. What is r(f(s))?\nAnswer: -20*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (1 + -31)\/(-2). Suppose 0 = 3*b - x - 1 - 11, 0 = -5*x - h. Suppose 0 = -b*d + 3*v + 12, -2*d - 10 = 2*v - 2. Solve w + d = -4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*v + 26. Let x = 15 - 11. Let j = x - 4. Which is the closest to -1? (a) j (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -128*l + 2*l**3 + 128*l - 88 + (-3*l**2 - 3*l**2 + 5*l**2)*(3*l + 7*l + 0*l).\nAnswer: -8*l**3 - 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 + -34 - -49) + -16?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -26. Calculate the lowest common multiple of (-1)\/2*-19 - 57\/38 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*o + 1148*o + 3*u - 4 = 580*o, 3*u - 68 = 20*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1347 is divided by 150?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 9964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 1:41 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 11:32 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 25 = 5*y. Suppose -y*r = -2 - 13. Suppose r*c - 92 - 85 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + m - 66. Suppose 0 = -k + 4*k - 2*a - 82, 0 = -k - 5*a + m. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27169593 and 258?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 1141*o**2 + 1708*o - 576. Calculate w(569).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 302793 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from dssdsdsbbs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23750 is divided by 699.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (58\/5)\/(5\/25). Is 5 a factor of 5\/(-15)*(1 - q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3718.83 - -3693. What is z rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -146831*s + 1615126. Give j(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2905 and 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 29 + 27 = q, 0 = -q - 4*p + 22. Let t be q\/22*(-5 - (-17)\/3). Put 2, -3, t, 3 in increasing order.\nAnswer: -3, t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.91861, -0.1, 1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - v - 47, c + 5*v = -3 - 25. Let l = 13 + c. Let j = 16 + l. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*c - 18 - 0, 0 = -5*c - 3*a + 22. Suppose c*n = 3*n. Factor -2\/5*o - 4\/5*o**3 + n - 6\/5*o**2.\nAnswer: -2*o*(o + 1)*(2*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 400956 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dcc8 - -2?\nAnswer: dcca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*u = 44*u - 89. Let c = u - -294. Suppose y + c = 4*z - 4*y, 5*z = 5*y + 485. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 67*n + 594. What is q(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 826*s + 3750 = -11118 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 740*x.\nAnswer: -5*x*(x - 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 67901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**3 - 221*n**2 - 49*n + 210. Give s(-55).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -8. Suppose 0 = -2*k + w + 765, 5*k - w + 3*w - 1899 = 0. Suppose -3*v = -y*v + k. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146554*j - 12835*j + 19 - 19.\nAnswer: 133719*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1289 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 6*y**2 - 3*y - 14. Let m be a(-6). Let o be ((-252)\/(-15))\/(-6) + m. Factor o*i**2 + 2\/5 + 6\/5*i + 2\/5*i**3.\nAnswer: 2*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -6*i + 4. Let m(w) be the first derivative of 3*w - 5\/2*w**2 + 6. Calculate 4*m(d) - 3*r(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.07, 282, 6, 3\/2?\nAnswer: 282","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 147307634 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23 - -8?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*m + 2*m. Suppose -n + 26 = m*x, -4*n = 2*x + 3*x - 74. Suppose 4*k = 40 - n. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 720 and 240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 136, 127, 102, 55, -20, -129, -278?\n\"Answer: -n**3 - 2*n**2 + 4*n + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 96*m + 9670. Calculate w(-99).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 2\/2*90\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o. Let b(s) = s - 1. Let j be b(3). Let p(a) = 0*a**2 + 2*a**j + a**2. Give p(g(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2415240 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2 - 2*d - 3. Let o(g) = 4*g**2 - 3*g - 2. Let y(x) = -6*o(x) + 5*q(x). Suppose -13*r = 61 + 56. Determine y(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*o + 310, 2*o + 165 = -8*w + 1477. Calculate the remainder when w is divided by 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1365*b - 228*b + 25*b + (-1 + 0 + 0)*(-b - 3*b + 2*b) in the form p*b + q and give p.\nAnswer: 1164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4691 and 4.\nAnswer: -18764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 - 4849*a**2\/5 + 978406*a\/5 + 983256\/5.\nAnswer: (a - 4638)*(a - 212)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/96 and 107\/176.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-740)\/(-16) + 4 + -2. Let g = -4145\/84 + o. Find the common denominator of g and -17\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, t: 7, m: 3, b: 2, x: 1}. Give prob of sequence xjmj.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2\/3*n**3 - 8\/3*n**2 + 12 + 2*n = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**3 - 28*z**2 - 2*z - 4. Is j(-7) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 5:52 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 607285547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a - 21*a = -12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 1. Suppose -13 + 1 = -2*b. Let f be 3*3\/18*0\/3. Suppose -2*m + 4*r - 2*r = 0, f = 3*r - b. Let t(s) = 10*s + 6. What is m*t(y) - 11*n(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151618, 151617, 151616, 151615, 151614?\nAnswer: 151613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1300) + 1)**2 - (sqrt(1300) - (sqrt(1300) + -2*(sqrt(1300) - (sqrt(1300) + 2*sqrt(1300)) - sqrt(1300)))**2) - ((5 + sqrt(1300)*1)*3)**2)*2.\nAnswer: -1740*sqrt(13) + 106158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-10) + (-2)\/(-5). Let m be 4*-2*z\/8. Let u(n) be the third derivative of -n**5\/30 + n**4\/6 - n**3\/2 - 19*n**2. Determine u(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 2*m**4 + 4*m)*(-4667 - 424 - 1725 - 10208).\nAnswer: 34048*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = b + n - 19, -2*b + 23 = -3*n. Suppose -760 = -b*h + 2344. What are the prime factors of h?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 121*h**3 + 4*h**2 + h + 4. Let z be f(-8). Round z to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 19827*h**3 + 0*h + 2741*h**2 - 2*h - 19824*h**3 in the form o*h**3 + y*h + f*h**2 + g and give f.\nAnswer: 2741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 178448396 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*c - c = -21, -3*c = 4*o - 9. Let q = -181 + 182. What is the remainder when q*-3*7\/42*-52 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 16?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*n**3 + 0)*(-2 + 1 + 0) + n**3 + 0*n**3 + 0*n**3 + 0*n**3 + 4*n**3 - 3*n**3 - n**3 + 5*n**3 + 7*n**3 + (-n**2 + n**2 - 2*n**3)*(5 + 0 - 4).\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93 and 6?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (14 - 15)) + (-63 - -13) + (-1 - -9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) + (-156)\/(-60). Suppose -u = -l*u + 4. Put u, 0.5, 0.01 in decreasing order.\nAnswer: u, 0.5, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111055976 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8507450 to the nearest integer?\nAnswer: 2917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -378*f**2 + 36*f + 2. Let i(q) = -1890*q**2 + 171*q + 10. Let v(k) = -19*h(k) + 4*i(k). Let b(d) = 4*d**2. Give b(v(p)).\nAnswer: 571536*p**4 - 6048*p**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2093 and -17\/322.\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1240 + -69. Suppose 3*c - i = 2*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnnnvnvwbrnmnmnvw. What is prob of sequence nnmb?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 6*s**2 + 8*s + 8. Let m be y(-7). Is 5 + 1 + 3 + m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 u when three letters picked without replacement from {q: 2, u: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/4)\/(42\/56). Let w be -3*h*(-5)\/6. Let d(n) = 2*n + 14. Let l be d(w). Solve 0 = -u + l*u + 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(-3 + sqrt(5))**2*6*-2.\nAnswer: -1440*sqrt(5) + 3360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011 - -1011011000010000000001?\nAnswer: 1011011000010000110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**3 - 41562*q**2 + 3*q + 41562 = 0.\nAnswer: -13854, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*r - 75 = -w, 0 = -3*r. Suppose -9*j + 65 = -w. Let x = -44 + 49. What is the highest common divisor of j and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2392*s - 4782*s + 2392*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 12*u + 27 + 3*u + 10*u.\nAnswer: 25*u + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-5) + (-18)\/90. Put -3, n, 3, 8 in descending order.\nAnswer: 8, 3, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7349907124?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -19.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 23*c - 32. Determine i(-22).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -14 + (-9 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1728743 is divided by 641?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3366.2 - 3366.9. Sort y, 0.3, -3, -5, -2\/9 in decreasing order.\nAnswer: 0.3, -2\/9, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from vfvffvfvvzzz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(15)\/sqrt(3))**2 - (sqrt(5)*-1 + 3)) + -1.\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 7*b - 9. Let z be j(-4). Suppose 0 = -2*y + 11 - z. Suppose -4 = 3*g - 5*v + v, 12 = 2*g + v. Solve -g*c + 2*w + 9 = 3, -4*w = -y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10759501 and 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 19\/2. Do t and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 12 = -0*g - 4*p, 0 = 4*g + 5*p + 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -96*x**2 - 187 + 207*x**2 - x**3 - 81*x**2. Is 9 a factor of a(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -19*j - 1809. Give p(-95).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1008755685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 i when four letters picked without replacement from {i: 1, f: 11}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -413.062?\nAnswer: 3304.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 2) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103486 - -192134. Let o = -23 + 36. Suppose o*z - 5*z - c = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333051878.\nAnswer: 2, 241, 281, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7444, -7445, -7446, -7447, -7448, -7449?\n\"Answer: -v - 7443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 216414674.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*i**4 + 1196*i**3 + 2*i**2 - 314272 with respect to i.\nAnswer: -156*i**3 + 3588*i**2 + 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 1)*(-179 - 107 - 51 + 45)*(-1 + 1 - 3*m).\nAnswer: 3504*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a + 5. Suppose 0*r - 10 = 2*o - 5*r, -25 = 5*o - 5*r. Calculate c(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4*sqrt(475))*3 - (6*(sqrt(19)*1)**2 - (0 + sqrt(475))**2).\nAnswer: -60*sqrt(19) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, 5\/2, 2\/5, 5.\nAnswer: 0, 2\/5, 5\/2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 6 = -3*d. Suppose -d*y = 5*x - 39, -4*y = x - 4*x + 39. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6290, 12580, 18870, 25160?\n\"Answer: 6290*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11011100011 (base 2) to base 14\nAnswer: -8dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-1815)\/(-2618))*(-36)\/42?\nAnswer: -68\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2043, 2029, 2015?\n\"Answer: -14*t + 2057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t. Let p(j) be the first derivative of 2*j**2 + 24. Determine l(p(k)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12524694757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6213 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (167045*3\/780)\/((-2)\/10). Let y = p - -3213. Calculate the common denominator of -47\/117 and y.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 2 - 2)*(m + 2 - 2)*(2*m - 2*m + m)*(16 + 19 - 29) to the form s + g*m**2 + r*m + n*m**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*r + 26 = 0. Let v = r + 15. Solve -p = v*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 84 = 15*l. Let f be (l\/(-5))\/(-1) - (-12)\/60. What is the nearest to 1 in f, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32557456*m - 4860717.\nAnswer: -32557456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**2. Let l be (-6)\/4*(-96)\/(-18). Let y = 7 + l. Calculate i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92 - -95. Suppose 3*y - 1 + 19 = 3*m, 4*m + g = -5*y. Suppose -m*b - 3658 = -5*x - 501, -4*b = -x + 645. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let b be 1\/u*1*3. Solve 0 = -b*k - 9 - 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 714 - 5946.\nAnswer: -5232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14962 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -5*r - j, -5*r + 5*j = -0*r - 165. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**4 - 4 + 4 + (3*t**3 - 4*t**3 + 2*t**3)*(4*t - 3*t - 4*t) + 0*t + 0*t - 2*t**4 - 2*t + 2*t - t**4 + 3 - 3 + 3*t**4.\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 4.99999928. What is p rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-20)*60\/72.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3 = -3*j, 11646*d + 6 = 11644*d + 3*j for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2487 times 1\nAnswer: -2487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 3, i: 1}. Give prob of picking 1 h and 1 j.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 6*p**2 + 9*p - 10. Let v be w(8). Let z be v\/8*(-10 + 6). Let k = z - 7. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4204 = -f - 4202. Factor 0*x + 1\/5 - 1\/5*x**f.\nAnswer: -(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 + 141*v**2 - 1819*v + 20. Give r(17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 l when four letters picked without replacement from ylclclyylyyl.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -6*w - 3 + 3. Let i(z) = -11*z**2 - 13*z**2 + 36*z**2 - 10*z**2. Give i(m(h)).\nAnswer: 72*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23102 (base 7) to base 16.\nAnswer: 16fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*sqrt(19)*4)**2.\nAnswer: 16416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -554*n + 551*n - 21. Put -5, 5, n, 2 in increasing order.\nAnswer: n, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 836 = 4*h - 2*h, -h = 5*c - 428. Let v = h - 291. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 59?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104961, -104980, -105011, -105054, -105109?\nAnswer: -105176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -823 = 2*h + 3*z, 8*h = 4*h - 2*z - 1650. Let y = 557 + h. What is the lowest common multiple of 60 and y?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/99 and 2\/81?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90468*s - 45216*s - 45260*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 4*n)*(39 + 29 - 33)*(-6*n**2 + 8*n**2 + 9*n + 3*n**2).\nAnswer: 525*n**3 + 945*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866664.\nAnswer: 2, 3, 12037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16 + (0 + 2)*-6. Solve -5 = 5*r + l, k*l = -7*r + 8*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 - 3*u**2 - u**2)*(-4*u - 3*u + u).\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -8, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 188 - 566\/3. Which is the closest to v? (a) 2\/9 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, s: 1, o: 1, d: 2, y: 1}. Give prob of picking 1 v and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -1\/3 (b) 330 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -3\/7, 4, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -4 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2 - (-4 - -1) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-262 + 1125 + 516 + 1596)*(3*f - 4*f - f) as i*f + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(2\/27)*f**7*f*f**2*f*f**(-8) assuming f is positive.\nAnswer: f**(106\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 6*c - 2*c)*(-1 - 3 + 1) - 2*c + 4*c - c + (1 + 1 + 0)*(0 + 2*c + 0) + c - 3 + 3 - 4*c + 5*c + 0*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -23?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t. Suppose 3*j + 21 = 3*s, j - 3 + 2 = -3*s. Let d(y) be the third derivative of -y**3\/3 + y**2. Give j*v(o) - d(o).\nAnswer: 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.083+89\nAnswer: 89.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*h + 31, 4*o + 16*h - 44 = 14*h. Let b = 906 - 111. Suppose o*l - b = 8*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*v = 233*v - 225 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 52013220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 35. Let t = 63 + -185\/3. Which is the smallest value? (a) 6 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 445101414 (base 6) to base 4\nAnswer: 132310210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5612 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a. Let g(h) = -h**2 - 4*h - 1. Calculate -g(p) - 5*l(p).\nAnswer: -4*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -13.9. Let h = -0.6 + u. Let p = -25\/4 + 11\/2. Sort p, h, 0.1.\nAnswer: p, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**3\/3 + 5*q**2\/2 - 2*q - 156. What is s(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4)**(12\/7) assuming g is positive.\nAnswer: g**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104*138\/(-1104) + ((-866)\/(-72) - -1)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*i - 141 = 3*m, 4*m + 3*i = -99. Put m, -1\/3, -3 in descending order.\nAnswer: -1\/3, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 572606 divided by 286303.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 10457313.4?\nAnswer: 4182925.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and -8?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -3*f**5\/5 + 7*f**4\/2 + f**3\/3 - 48. Find the third derivative of p(k) wrt k.\nAnswer: -72*k + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 6 = 18. Solve n = -n - s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 28, 3\/4, 397, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2056 + -2060.402. Let u = -0.102 - v. What is u rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 98746*j**3 - 93*j**2 + 4*j - 4. Let m be r(2). Round m to the nearest 10000.\nAnswer: 790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -240 divided by 10\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-2) - -10 - 3. Let b(o) = -o**3 + 12*o**2 - 2*o - 2. Is b(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 133*n - 71 - 328 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145792170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -46762839 to the nearest 10000.\nAnswer: -46760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*z + 5*c + 34 = 0, -2*z + c - 40 = 0. Let p = 139 + z. Calculate the greatest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 0.1, -3, -5, -6.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 218*j**3*v**3 + 14*j**3*v - 40*j*v - v**3 wrt v?\nAnswer: 1308*j**3*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 2*l - 2*l)*(7 - 6*l - 7) - 6*l**2 - 3*l**2 + 17*l**2 + (-4*l + 3*l + 2*l)*(-l + 3*l + 0*l) to the form f + z*l + d*l**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*s - 762 = 118*s + 2028 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*l - m = -347*l + 233, 446 = 2*l + 2*m. Calculate the smallest common multiple of 812 and l.\nAnswer: 46284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 5. Let w be r(-7). Suppose -5*s = 4*m - 14, -w*s - 4*m = 2 - 10. Suppose s*x - 19 = 1. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10342, -0.05, 0.2, 2\/7 in descending order.\nAnswer: 2\/7, 0.2, -0.05, -10342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6904245*8\nAnswer: 55233960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 55*f - 4 - 69*f + 4. Let d(m) be the third derivative of m**7\/1260 + m**4\/8 + m**2. Let b(w) be the second derivative of d(w). Calculate z(b(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n + 208. Suppose 5*a = -8*a + n. Calculate the highest common divisor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10141 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 551064 (base 7) in base 13?\nAnswer: 34b78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109795289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1404046.5 months?\nAnswer: 117.003875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2361 - 12510 = -17*g. Calculate the remainder when g is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*w = -18703, -v - 34*w + 6235 = -33*w. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q - 2*q - 2*q + (-2*q + 4 - 4 + (-2 + 2 + 2*q)*(-7 + 2 + 1))*(-21 - 3 + 12) in the form l + f*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32\/43955 or -1?\nAnswer: 32\/43955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -210*d**2 + d + 2. Let o(n) be the second derivative of n**3\/3 - 54*n - 3. Calculate q(o(c)).\nAnswer: -840*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1503864?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -88 = -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, t: 2, y: 4, i: 5, k: 4, n: 4}. What is prob of sequence yk?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9584\/4669 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = c + 14 + 1, -25 = -5*m. Let i = c + -10. Solve -s - 2*s + 6 = i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (0 - (-30)\/(-13)). Sort -2, 0, k in descending order.\nAnswer: k, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9066 divided by -3?\nAnswer: -3022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-25) + 2*1\/(-10). Let s = -7\/25 - v. Factor -s*p**3 - 16\/5 - 8\/5*p**2 - 4*p.\nAnswer: -(p + 2)**2*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20881142.\nAnswer: 2, 10440571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -6. Let n be 7\/i - 3\/2. Which is the biggest value? (a) 1\/3 (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lku when three letters picked without replacement from {k: 3, n: 4, b: 2, l: 2, u: 7}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 1\/6, -15, 435?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 91\/4 of a millimeter?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(132) + (sqrt(132) - (sqrt(132) + sqrt(132) + sqrt(132)*-3 + sqrt(132))*-1)))\/(4*sqrt(12)*-2 - (3*sqrt(300) + sqrt(12) - sqrt(12))).\nAnswer: 10*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8058103\/15 at most 537206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -560 - -570. What is the second derivative of -10*j**3 - 4*j**3 + 10*j**4 + z*j - 4 + 2 + 14*j + 16*j**3 wrt j?\nAnswer: 120*j**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**4\/8 + p**3\/6 + 4*p**2. Let x be (-34)\/(-10) + 4\/(-10). Suppose 2*u = x - 7. Give j(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353380 is divided by 670?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2\/11, -0.3, 2878, -0.01 in descending order.\nAnswer: 2878, -0.01, -0.1, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4 + 9*f**3 = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4*x + 66 = 0, -54*u + 54 = -59*u + x for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108 + 22. Let j = 121 + s. Let r = -35.3 + j. Which is the closest to 3? (a) -3\/8 (b) r (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 5 = -5*z - 2*h, 0 = 3*z + h - 17. Suppose -24 = -4*o - m + 3*m, -z*m - 20 = 0. Sort o, 2, -2 in increasing order.\nAnswer: -2, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -921 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, 2\/56777427 in decreasing order.\nAnswer: 2\/56777427, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7742 divided by -6\nAnswer: 3871\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/42 and (-5890)\/19320 + -1*5\/(-30).\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -285?\nAnswer: 1425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 995 <= 955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 401*g - 7052. Determine c(12).\nAnswer: -2240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 7:12 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -2*i**7\/7 - 2*i**6\/3 + 82*i**3\/3 + 88. What is the third derivative of w(x) wrt x?\nAnswer: -240*x**3 - 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 34 - 22 = 3*p, 0 = -s - 3*p for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + q**2 - q + 1. Let v be m(1). Suppose v*y - 6*y = 30. Is ((-39)\/(-15) - 3) + (-2467)\/y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 5*d**2 + 8*d + 6. Let z be r(-6). Let m = -2092 - -2094. Is (-7 - z)\/(m\/(-1282)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from iciiccaiiccciaic.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 63241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 5*o + 2*o + (-1 - 1 + 3)*(o + 4*o - 3*o) - 2*o + 6*o - 5*o)*(0 + 3 + 21)*(-3*o + 0*o + 0*o) in the form i*o**2 + m + g*o and give i.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/3 + 40\/42. Let x = 308.7 - 308.6. What is the closest to x in d, -11\/4, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 4, -4, -9\/5, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 322912 and 3.\nAnswer: 968736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -242631.\nAnswer: -242631, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16850*r - 16850*r + 2*h + 4 + 1 = 1, -2*h + 48 = -13*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 5*r - 5. Let a(f) be the second derivative of f**5\/10 - f**4\/4 + f**3\/6 - f**2\/2 + f. Let p be a(2). Calculate v(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 - 31*c**2 - 44*c - 52. What is x(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(7))*6 - sqrt(7) - (-4 + -1 + sqrt(7)).\nAnswer: 4*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628514329 is divided by 157.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2407, -0.7, 6, 2?\nAnswer: 2407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - b - 1. Let n(d) = 17*d**3 + d + 1. Give -c(w) - n(w).\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18359 + -18360. What is the closest to 0 in -1\/5, q, 1.2, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 147, 179, 217?\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vaah. What is prob of sequence av?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-663)\/(-17) + 3995\/(-102)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-36)*-6)\/(-1 - -3). Sort b, 3, 2, 1.\nAnswer: b, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 81769009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -25*w + 331. Let i(h) = -5*h. Give u(i(g)).\nAnswer: 125*g + 331","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 7, m: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {k: 7, i: 1, s: 1, g: 1, j: 3, p: 7}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1000598 - 1000598 + 2*g**2. Let h(s) = -3*s**2 + 132. Let o(v) = 4. Let m(l) = 4*h(l) - 132*o(l). Give m(z(t)).\nAnswer: -48*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39597358?\nAnswer: 2, 19798679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o - o)*(0*o**3 + 2*o + 3*o**3 - o**2 - 5*o**3) + 9*o**4 + o**4 + 6*o**4.\nAnswer: 14*o**4 - o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1464319 rounded to two decimal places?\nAnswer: -2.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/167, -3\/2 in decreasing order.\nAnswer: -2\/167, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55105932 + 8*q**3 + 55105932.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4281*t**4 - 1128*t - 1. Let r(b) = 2855*b**4 - 752*b. Let y(f) = 7*r(f) - 5*u(f). What is the second derivative of y(j) wrt j?\nAnswer: -17040*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l - 12*l - 16*l + (-1 + 1 - 2)*(15*l + 138*l - 38*l).\nAnswer: -250*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.5, -448897?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1455 + -5823?\nAnswer: -43bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -16 - 4. Suppose -2*s + u = -0*s. Solve -2*m + s = -2*i, -5*i - 2*m - 3*m = 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(180)\/sqrt(3) + sqrt(120)\/sqrt(2)*1)\/((sqrt(1452) - -2*sqrt(1452)) + (sqrt(120) + 1*sqrt(120) + sqrt(120))\/sqrt(10)))**2 + -1 + -2.\nAnswer: -3883\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y. Let j(p) = 8*p - 45. What is j(m(c))?\nAnswer: -16*c - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.1494 + -0.0494. Let q = w - 15.3. Which is the second biggest value? (a) -4 (b) 0.4 (c) q (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142661988 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - -5.6. Let s = -24 - -18. Let v = s + l. Which is the second biggest value? (a) -4 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*u = -455. Find the common denominator of (12\/21)\/(18\/u) and (-9)\/30*97\/(-3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111089 divided by 7?\nAnswer: 158727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -1383, -5191, -12743, -25287, -44071, -70343?\nAnswer: -105351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 12.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57 + 247106?\nAnswer: 247165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -518, -502, -486, -470?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -f + a - 12, -3*a = f + 8. Suppose 3*w - f = w. Calculate the remainder when 3 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 2. Let n = -7 + 12. Suppose -2*s = -n - 11. Suppose -5*g - s = 2. Give c(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11907 and -0.03.\nAnswer: 357.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009 is divided by 51.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 2:45 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6970 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-8)*-2*(-4)\/(-25)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) + (sqrt(57) - (sqrt(5700) - -1*sqrt(5700))))*1)\/((sqrt(1728)*3)\/sqrt(9)).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6*p - 7*p + 164, 0 = 3*g + 2*p - 246. Calculate the remainder when g is divided by 48.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2409183.532 to the nearest one hundred.\nAnswer: -2409200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -44. Differentiate u - 1 - 20*a - 7 + 22 with respect to a.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -14 (b) -2.1 (c) -0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1743, 3492, 5251, 7020?\nAnswer: 8799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -46, -23, 20, 89, 190, 329, 512?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 804700?\nAnswer: 2, 5, 13, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*p + p + 55, -5*i + 5 = 5*p. Let g(n) = -4*n - n**2 + i*n + n + 0*n + 3. Let w be g(3). Solve 0*j + w = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + (-3 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(19) - sqrt(38)\/sqrt(32)) + (-2*sqrt(95))\/sqrt(5) + sqrt(19))*2)**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/39309?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15491 - 15491 - 3*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -d**4\/2 - d**3 + 2*d**2 + 1. Let k = 103 + -106. What is the tens digit of l(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/11 + 30*t**3\/11 + 52*t**2\/11.\nAnswer: 2*t**2*(t + 2)*(t + 13)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1011 + -998. Solve 38 = -w*v - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.21 - -0.91. Put 5, n, -1, 1 in decreasing order.\nAnswer: 5, 1, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745019980.\nAnswer: 2, 5, 5669, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011231255 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 208? (a) 3 (b) 0.4 (c) 8590\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16155, 16211, 16267?\n\"Answer: 56*l + 16099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6911 - -4152048?\nAnswer: 4145137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 301275 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89376032 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11546 - 126942\/11. Factor -64\/11*x**2 + k - 8*x**3 + 48\/11*x - 5\/11*x**5 - 36\/11*x**4.\nAnswer: -(x + 2)**4*(5*x - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 7*c - 12. Give l(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12212122200 (base 3) to base 4\nAnswer: 130033023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*2 + sqrt(190))\/sqrt(10) + ((sqrt(133) + sqrt(133) + -1*sqrt(133))\/sqrt(7))**2 + 1 + sqrt(95)\/(sqrt(25)\/sqrt(5)) + 3.\nAnswer: 4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68.3284 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-1))\/(6\/(-8)). Let d be 8\/(-12)*750\/s. Suppose 0 = -i + 2*t + 40, -5*i + 0*t - 4*t + 270 = 0. What is the highest common factor of d and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q + 15*q + 114 = -278 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -4)*(-2)\/8*-24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1242 is divided by 291.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**5\/15 - l**4\/6 + 4*l**3\/3 + 61*l**2\/2 + 12*l. Let w(h) be the first derivative of z(h). Factor w(o).\nAnswer: -4*(o - 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/53 in 9, 14, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20145094315 take away 0.15?\nAnswer: -20145094315.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*a*g**2 + 1985859*a - 20620974*g**2 - 1 with respect to a.\nAnswer: -13*g**2 + 1985859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.05, -2, -0.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -575360, 1\/7, -2\/7 in descending order.\nAnswer: 1\/7, -2\/7, -575360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32\/13, 0.5, -1, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 b when three letters picked without replacement from bwbwwwwwww?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/9 - 4\/(-6). Let a = -155 - -154. Let c be (x\/24)\/(a\/(-20)). Solve c*d = -17 - 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + 342559924.\nAnswer: 342559915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24526 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 210724*d + 9691188.\nAnswer: (d - 210678)*(d - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (112\/(-88))\/(6\/(-33)). Suppose 5*i = -9*j + z*j + 19, i = 4*j - 5. Find u, given that -2*u**2 + 0 - 2\/3*u**4 - 2\/3*u - j*u**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 2*d + 300. Suppose 2*k - 5*g - d = 0, g - 321 = -2*k - 3*k. Suppose 5*h - 35 = -5*o + k, 5*h = 15. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(-2 + (-3*sqrt(1900) + sqrt(1900) - sqrt(1900) - sqrt(1900)) + sqrt(1900)))**2*1.\nAnswer: 2160*sqrt(19) + 307872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 404404 and 59994.\nAnswer: 10918908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 8*f + 12. Let b be w(9). Which is smaller: b or 11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 0, -11, -4.\nAnswer: -11, -4, 0, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 0*w + 5*w = 4*b - 0*w - 22, -5*w = 2*b + 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 + 0*k**4 - 3*k**4 + (k**3 + k**3 - 3*k**3)*(-3 + 3 - 7*k) in the form s*k**3 + c*k**2 + t*k**4 + o + q*k and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 18. Let m = c - 7. Suppose -16 = -m*k - 0*k. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 0*g + 8\/3*g**3 - 8\/5*g**5 - 80 + g**4 - 2*g**2. Solve v(z) = 0 for z.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*c - 139, -s - 118 = -3*c + s. Is c - (0\/3 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2534390 to the power of 1\/2, to the nearest integer?\nAnswer: 1592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 1, x: 3, w: 1, t: 3, h: 2}. Give prob of picking 1 n and 1 x.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 17 - 40)*(-611 - 117*w + 611)*(-w - 4*w + 6*w).\nAnswer: 4095*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 6. Let c be k(-12). Let o be (-9)\/18*1*c. Suppose -o*w = w - 8400. Round w to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 219*c + 217. Give v(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/2 and 89\/394276.\nAnswer: 394276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2508)\/(1254\/19)*(-5)\/(-6)*(-6)\/(-5)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1946 divided by -9368.\nAnswer: -973\/4684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - g**2 + 7*g + 2. Let l be r(-3). Let a = 23 - 16. Let u(h) = -a*h + 3*h + 2 - 1. Calculate u(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c - 211*c - 182*c + 36784 = -61*c for c.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l - 2*i = 196, 3*i = 197*l - 198*l - 8 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i**(-3\/7)*i)\/i*i)**11)**1 assuming i is positive.\nAnswer: i**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**3 + 5*u**3 - 47*u**2 - 21*u**3 + 5*u**3 - 2*u**3.\nAnswer: -u**3 - 47*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 478272 = -h, -3*h - 29*j = -28*j - 1434914. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*z - 22, s + 20 = -4*z + 81. Let u = 56 - z. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 9. Let z be (-36 - -33)\/((-6)\/10). Solve 0 = b*m + 2*m + z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3200 and 1920.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 4. Is (2\/s)\/((-6)\/(-126)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 25821963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3*s - 4*d**3 + 42*d**2*s + d*s - 6*d - 110*s wrt d.\nAnswer: 18*d*s - 24*d + 84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*w - 2 + 12 = 0, 4*w = 2*j - 30. Let o be 4 - (j + -2 - 4). Solve 25 = -4*s + o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5025, -1, 12 in decreasing order.\nAnswer: 5025, 12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1038*x + 133946. Give y(129).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**3 + 100*b**2 - 36*b + 97. Calculate v(33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1039 + -1037. Sort 0, 3, 9, p in descending order.\nAnswer: 9, 3, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 y when three letters picked without replacement from {j: 3, y: 4}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456 and 351918?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7017 is divided by 3403?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 7*l + 1. Suppose -4*b + 5*h = b + 5, 0 = 3*b + h - 9. Suppose 3*s = -i + 8, 4*i - b*s + 30 = -8. Let k be w(i). Which is smaller: -14\/5 or k?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 8:49 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -711*r + 2115*r - 703*r - 703*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 2*h - 2*h)*(1 + 3 - 2) - 427*h - 1180*h + 7 - 9.\nAnswer: -1603*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*k - 26 = 0, -9*t - 26*k + 21*k = -t - 7*k - 50 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4, 4*q + 2*v = -v + 483. Let l = q - -259. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634*u = -255*u + 4832 - 86620 for u.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/754698 and -23\/147.\nAnswer: 754698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 11:42 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4351 * 0.919.\nAnswer: 0.3998569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8409 rounded to 2 decimal places?\nAnswer: -3.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 12:26 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.444461883238 - 0.2?\nAnswer: -0.644461883238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmrr when four letters picked without replacement from rmbrbbrrmq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-4 + 1)) + 0 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22278060 to the nearest integer?\nAnswer: 4720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -35*x - 2. Suppose 5*a + 0 = -10. Does 23 divide g(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1104726, 2209455, 3314184, 4418913, 5523642?\n\"Answer: 1104729*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - 32.4. What is the third biggest value in -4, -0.1, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -j - 4*r, j + 3*r + 17 = -j. Sort -0.4, j, 5, -3.\nAnswer: j, -3, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11676045*g**2 - 5*g**3 - 11676045*g**2.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/14)\/(3\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -3251.65 and -0.09649.\nAnswer: -3251.74649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101011100100011010000 (base 2) in base 4?\nAnswer: -31130203100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 1\/20*q**5 + 2*q**2 - q + 0 - 1\/4*q**4 + 1\/6*q**3. What is the units digit of x(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/190 and 52\/3?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r = -4. Let y = 156 + -467\/3. Let x = -1.1 + 1.5. Which is the nearest to -4? (a) y (b) x (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 0)\/(1\/(-5)). Suppose n*a + 2 + 38 = 0. Let b = 9914\/9 + -1110. Calculate the common denominator of b and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, 0.2, 0, 1, -268 in descending order.\nAnswer: 1, 0.2, 0, -55, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 14 = 5340*w - 5342*w, -3*w = 2*b - 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 4 (c) -0.02827\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzznznmxzmnnnzsmznx. What is prob of picking 1 n and 1 m?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25957.834 rounded to the nearest 100?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwxwxxxxxwxwwxx. What is prob of sequence xxx?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 3*t**2 - 2*t - 9. Suppose 7*g - 47 = -19. Let x be w(g). Calculate the remainder when 20\/(x - (-9)\/7) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-4)\/2) + 6. Let d be 25 - ((-10175)\/(-22))\/25. Which is smaller: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**8\/112 + y**6\/40 + 235*y**2. Find b, given that a(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 + 977*k - 9 - 993*k + 1. Let p be l(-8). Let y = -75 - p. Calculate the remainder when y is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/28, -0.6 in ascending order.\nAnswer: -4, -0.6, -3\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*z - 11, -z - 7 = -3*b + 2. Suppose -4*w + 3*j + 4 + 9 = 0, -4*j = -b*w + 12. Solve d + 0*d + 9 = w*a, 12 = 4*a - 4*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(612) - (sqrt(612) + 1)) + (sqrt(612) + 1)*-1)*5 - (3 + (sqrt(612) + sqrt(612) + sqrt(612)*-1 + 2)*1))**2.\nAnswer: 1800*sqrt(17) + 22657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91\/18 - 32\/9. Let g = 22 - 21.9. Which is the closest to 2? (a) g (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2.9 (b) 2 (c) 1 (d) -12 (e) -0.018\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 7*c**2 + 5*c - 2. Let w be t(-6). Suppose -w*b - 12473514 = -3*y - 34673518, b + 29599999 = -4*y. What is y rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -943 + 948. Which is the second biggest value? (a) 0.12 (b) 0.1 (c) 9 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.58 - 5.58. Put 1\/5, 1\/3, j in ascending order.\nAnswer: j, 1\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80088 by -24.\nAnswer: -3337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/21 + 1107908*q**4\/21 + 2954512*q**3\/7 - 79770848*q**2\/21 + 177268064*q\/21 - 5908928 = 0. Calculate q.\nAnswer: -14, 2, 553962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/262595 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/81 or 1?\nAnswer: -13\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 630970819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1\/2, 0.04, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 3. Let a(z) = -1. Let q(u) = 3*a(u) - h(u). Let x(o) = 5*o. What is x(q(k))?\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6149 - 6151. Let b be (472\/96)\/(35\/2). Let p = 5\/42 + b. What is the second biggest value in -6, p, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232\/27492*(-3)\/(-2).\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 33\/22*(-4)\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**0)\/r)\/r**(-7\/3))**(4\/19)*(r*r**(-2\/7)\/r*r**(6\/11)*r)**(1\/32) assuming r is positive.\nAnswer: r**(74521\/140448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1416, 0, -3.\nAnswer: -3, 0, 10, 1416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11536121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 4*w - 12. Let h be j(-6). Let g be -1 + ((-3)\/5 - -2). Which is the third biggest value? (a) h (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 + 19 - ((-1 - (3 + 1)) + 4)) + -9\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7)*s)**(2\/69)\/((s*((s**2\/s)\/s)\/s)\/s*s**(1\/9)))\/(((s\/s**5)\/s)\/(s*s**5)*s**(1\/5)*s\/(s\/(s\/((s*s\/s**(4\/5))\/s)*s))*s) assuming s is positive.\nAnswer: s**(12910\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*u = -85, -3*h - 7*u = -3*u - 62. What is the least common multiple of h and 74?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101.080364 + 0.066364. Let m = 101 + w. What is the second biggest value in -0.2, m, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.012, -0.05, 0.0275, -0.16?\nAnswer: 0.0275","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + -2 + -9 + 17 - 17.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z + 23 = 3*k, 17 = 2*k + 3*z. Which is smaller: k or 2\/1993?\nAnswer: 2\/1993","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6767, 3 in decreasing order.\nAnswer: 3, 0, -6767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*y - 3316 = -5171 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3725411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5856, 10467, 15078, 19689, 24300?\n\"Answer: 4611*j + 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -236, -283, -340, -407?\n\"Answer: -5*y**2 - 32*y - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 2*h**2 + h - 2. Let p(w) be the third derivative of -5*w**4\/24 - w**3\/6 + 5*w**2. What is 2*p(s) + 3*q(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.65 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -21, -99, -2460.\nAnswer: -2460, -99, -21, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 0)**2 + 4 - (sqrt(432) - (-3*(sqrt(432)*-2)**2 - sqrt(432))).\nAnswer: -4817 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/3 and -1\/780145241?\nAnswer: 2340435723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -865.92 * -2\nAnswer: 1731.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -0*y + 2*y + 4*n, -3*y + n = 0. Let x(t) = 130*t - 4. Let a be x(y). Suppose 2*f = -f + a. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + (8 - (-16 - (-20 - 14))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.185041 plus -0.086605?\nAnswer: -6.271646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l - 14. What is the least common multiple of c(6) and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 + 61. Solve q + 0 = -y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -18\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 49306 and 49232 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 5, -26 in decreasing order.\nAnswer: 5, 4, 1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -151588 and -1.714?\nAnswer: 151586.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 2*f**2 - 15*f. Let w be p(0). Solve w = 19*n - 4*n + 45 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -99*u + 2902. What are the prime factors of t(-14)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.23 + -1.43. Let m = 0.005 + 1.895. Let p = m + 3.1. What is the closest to -2 in p, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81895411.\nAnswer: 13, 1933, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -2*f + 32, -2*f + 4 - 12 = 4*k for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-31)\/((-1240)\/(-48)))\/((-2)\/1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120257 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19960073791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3008 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3792 * -0.1187.\nAnswer: -450.1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6562 + 45508\/7. Let w = q + 61. Let r = -0.1 - -1.1. Which is the nearest to 0? (a) r (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -791, -1560, -2315, -3050, -3759, -4436, -5075, -5670?\nAnswer: -6215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -254*v**2 - 2*v + 1915*v**3 - 2440*v**3 + 0*v wrt v.\nAnswer: -3150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 317 + 131. Calculate the smallest common multiple of (-16)\/(-2) + u\/7 and 88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*x - 570668 + 2024812 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 31. Suppose v = 3*a - 8*a. Let w = 94\/17 - 96\/17. What is the third smallest value in w, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*o = 95, -2*h - 4*o + 53 + 11 = 0. Calculate the lowest common multiple of h and 22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -71. Let d = -41 - p. Let m(x) be the second derivative of -x**3\/3 + 3*x**2\/2 + 2*x. Calculate m(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-9 - 36) - -44.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264818 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 763*g - 687*g - 82612. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -98102 + 1?\nAnswer: -98101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 1:23 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + q = 68 - 71, 7 = o + 3*q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -3*l + 2*q + 67, 120 - 64 = 19*l - 4*q - 83 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19514 - -19522. What is the highest common factor of 60 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 66, 271, 620, 1119, 1774, 2591, 3576, 4735?\n\"Answer: b**3 + 66*b**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1241, 1252, 1263, 1274?\n\"Answer: 11*b + 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/14 (b) 6 (c) 1\/31 (d) 0 (e) 3 (f) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 837, -2, -8320 in decreasing order.\nAnswer: 837, -2, -8320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwcih. What is prob of picking 1 c and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/130816 or -1?\nAnswer: -1\/130816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 0, 4, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 - 27 - 95 = -90*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410214 = 46*z + 99116. Calculate the remainder when z is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:58 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*l + q, 4*q - 532 = 3*l - 503 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1881 - 374738\nAnswer: -376619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-104)\/(-130) - ((-12864)\/(-10))\/(-2). What is the greatest common divisor of l and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 3112223023?\nAnswer: -3112223022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -70*k**2 - 489*k + 4. Determine q(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -21415 (base 8) to base 14\nAnswer: -33ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/44)\/((-40)\/(-12)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -2042?\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 642604, 1285205, 1927806, 2570407?\nAnswer: 3213008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4836141 + 5?\nAnswer: 4836146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -5a?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 128\/40*(-116505)\/(-10356).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 i when three letters picked without replacement from oddviihhhiiovvrihovi.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaiaa. What is prob of picking 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 1, p: 3}. What is prob of picking 1 p and 1 l?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 19. Let w = 39 - s. Sort -7, w, -3 in ascending order.\nAnswer: -7, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 4, 5, 3.3, -1\/8 in ascending order.\nAnswer: -1\/8, 1\/9, 3.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12298 - 36098 = -25*b. Is 34 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 + (1 - (6 + -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4991639.\nAnswer: 383, 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 68.774931 from -4.4.\nAnswer: -73.174931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*1 + 6050\/2057 + -18.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9864 and 120.\nAnswer: 49320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577633154.\nAnswer: 2, 7, 281, 359, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -19*z - 69. Suppose -4*v - 8 = -i, 4*i + 26 = -3*v + 1. Determine t(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 8822?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/3)\/(3\/6). Let i = -51067 - -255334\/5. What is the closest to i in k, -5\/4, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -761, -6259, -21175, -50219, -98101, -169531, -269219?\n\"Answer: -785*s**3 + s**2 - 6*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 4*f - 8*f = -8, -2*o + 25203*f - 25200*f - 5 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3538497, 6, -0.4, 5?\nAnswer: 3538497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*(-135)\/156*4.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**3*s**3 - 6*q**3*s**2 + 122*q**3*s + 194*s**3 wrt s?\nAnswer: 18*q**3 + 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 4\/107849 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 119389*k**2 + 3563612407*k + 10689762747.\nAnswer: (k + 3)*(k + 59693)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3823863405 + 3823863547.00000635. Let c = s + -142. What is c rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-33)\/(-715) - (-3)\/(-15). Let m = -121 - -122.1. Which is the second biggest value? (a) 0.4 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 10*t - 542. What is x(-28)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2401 + 348147\/145. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3303 in 5, 285, 1\/5?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2398 - -4821\/2. Let p(m) be the first derivative of 0*m + q*m**2 - 9. Let u(r) = -r**2. Calculate p(u(a)).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 15*s**2 - 11*s - 8. Let j be a(-16). Let z = j - -74. Let y(h) = 2*h**2 + 17*h + 33. What is the hundreds digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*w + 1769*w + 98523 = -79963 for w.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*o**2*q + 4063432*o*q + 144118328*q wrt o.\nAnswer: -14*o*q + 4063432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -1 + (26 + -82 - -13) + 19.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 97. What is the remainder when u is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 1\/5, -4, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3)*(-5 + 2). Let a(x) = 2*x. Let w be a(1). Solve 0 = w*h - 3*u + 2, -2*h = -u - 4 + y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7870 is divided by 519.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17625 + 17624.999971793. What is z rounded to 7 decimal places?\nAnswer: -0.0000282","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1 (b) 2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 109136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-1)\/(9\/6) - 20398\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(17)*1)*5.\nAnswer: -10 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -10. Let z = -1 + 3. Suppose -z*s - 120 = -6*s. Solve 2*m = y*c - m - s, -3*c + 4*m + 29 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/7 (b) -0.3 (c) -10670.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + g**2 + 9*g**2 + (5*g**2 - 3*g**2 - g**2)*(-2 + 3 - 3) - 3 + 3 + g**2 + 0*g + 0*g + 2*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvx when three letters picked without replacement from ccvvxxcvccxxxcx?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - t + 10950 = 0, -92*z + 3*t = -88*z - 8779. What is the greatest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109\/2 - 52. Is o > 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 107 - 53 = 0. Suppose 0*k = -k + z + 24, 5*z = -5*k + q. Suppose 8*x - 10*x = -k. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752523?\nAnswer: 31, 56533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9676877 divided by -329\nAnswer: -29413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324760 divided by 132476?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/((-36)\/(-9)))\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1058511l in millilitres?\nAnswer: 105.8511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 - 402)*-1 + (-4)\/1?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4464 - 4464 + m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 0*s - 8*s)*(8*s - s - 3*s)*(-1 + 1 - 1)*(-9 + 5 - 1) in the form p + n*s + z*s**2 and give z.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 15 - (-5 + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -2 - (23 + -19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102 (base 14) in base 10?\nAnswer: -2942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 67*x**2 - x. Suppose 4*v - 120 = 9*v. Let y = v - -23. What is the remainder when j(y) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) -2 (c) -1.2 (d) -1 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170*h**3*q**3*v**2 + 2*h**3*q*v + 4022*h**3*v**3 - h**2*q**3*v**3 - 5*h**2*q**3 wrt v?\nAnswer: 24132*h**3 - 6*h**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -81929234 minus 0.2?\nAnswer: -81929234.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by -163319.\nAnswer: -54\/163319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.0496 - -0.0504. Let o = z - 9.1. Which is the second smallest value? (a) -4\/3 (b) o (c) 4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*r + 5425 = 26*r - 70*r for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/((96\/576)\/(2 - 205\/100)). Solve 0 - 11\/3*j**c - 4*j**2 - 4\/9*j**4 - 7\/9*j = 0.\nAnswer: -7, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 1151*b - 104 = 1147*b, p = -2*b - 4 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 6*i**2 - 7*i + 3. Let f be t(-7). Let m = 4.337 - 0.337. Let r be -34*(-3)\/(-90) + 1. Which is the closest to r? (a) m (b) -3\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -214\/89?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i**2 + i - 1. Does 6 divide j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -175, -261, -345?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -284 + 288. Which is the closest to 2\/7? (a) -5 (b) 3 (c) x (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(-14)))\/l*l*l\/l**14)**(1\/19))**(-29) assuming l is positive.\nAnswer: l**(-29\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1077042*n*q**2 - n - 2*q**2 + 204*q - 4335 wrt n?\nAnswer: 1077042*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(228) - ((sqrt(228) - sqrt(228)*-1*6) + sqrt(228)))*-1)\/((sqrt(120)*2*-6)\/((1*sqrt(50))\/sqrt(5))).\nAnswer: 7*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/12*3560\/(-1335).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56934.002 rounded to the nearest one thousand?\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -40, -98, -2\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/sqrt(11) + 2*sqrt(288))**2.\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6289547?\nAnswer: 11, 571777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -415*o**4\/4 - o**3\/3 + 23*o**2\/2 + 295. What is the third derivative of u(r) wrt r?\nAnswer: -2490","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3 or 1660330?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - -3 - 47) + (-1 - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-7)*(-2)\/(4\/9). Suppose 10*o - t*o = 3. What is the common denominator of 56\/9 and 4*o - ((-13 - -6) + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9)\/(11 - (-1856)\/(-168))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*r*x**4 + 147713023*r - 1761347*x**3 wrt x.\nAnswer: -44*r*x**3 - 5284041*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4381.79 + -4382. Which is bigger: -50 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45\/(-12 + 3) + 7411.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**6\/120 - v**5\/20 + 5*v**4\/24 + v**3\/6 - v**2. Is t(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (2 - 8) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*q - q. Let p be (2 + -3)*(-3 + 0). Suppose -p*f + 2 = 2*n + 4, 0 = 4*n + 4*f - q. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-0.309.\nAnswer: 1.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -631, -955, -1303, -1681, -2095, -2551, -3055?\nAnswer: -3613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(3 - (-44)\/(-12)). Let t be ((-4)\/(-3))\/((-10)\/p). Let l be ((-1)\/(-3))\/(4\/(-6)). What is the closest to l in -1, t, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 - 11 - -6 - -557 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 633 and 1794056829.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*-1*sqrt(288) - ((-1 + sqrt(288) - sqrt(288)) + -5)))**2.\nAnswer: -144*sqrt(2) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 207 = -2*o, 0*q - 3*q = 5*o - 186. Suppose q = 5*v - 88. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19274 + 19274 - 28*j**2.\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 49. Suppose 0 = -2*q - 5*a + 2 + 8, 0 = 3*q + 2*a - 4. Determine n(q).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1210 + 1247. Solve 45*c = t*c - 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(5) + sqrt(180) + -4)**2 + -3*sqrt(20)\/(-3*sqrt(20)\/sqrt(5)).\nAnswer: -41*sqrt(5) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0841012 * 0.4.\nAnswer: -0.03364048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-140)\/165 + ((-6)\/(-33) - 0). Let u = d - -7\/15. Is 0 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 4*w = -8, 36*h - 2*w - 4 = 40*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 9 = 4*l. Suppose 2*h - 756 = l*h. Let i = -238 - h. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2 + sqrt(19))*5 - (sqrt(19) - (sqrt(209) - (sqrt(209) - (sqrt(209) - (sqrt(209) - sqrt(209)*-3) - sqrt(209) - sqrt(209))))\/sqrt(11))).\nAnswer: 3*sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15331119\/208 + 73707. Let q = -8947\/1040 - m. What is the common denominator of 41\/4 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - -291. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -921 divided by -5.\nAnswer: 921\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 27. Let k be x(17). Suppose -3*o - 2*o + 3*t + 11 = 0, 5*o - k = t. Let u be (-1)\/(-3) - (-3)\/(-9). Sort u, -1, o in increasing order.\nAnswer: -1, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/19 + 108*y**2\/19 + 490*y\/19 = 0. What is y?\nAnswer: -49, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 15*z**2 - 5*z + 73. What is the units digit of p(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4054 - 12164\/3. What is the closest to -18 in 0.1, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.27 - 7.58. Let w = f - -0.61. Round w to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 - 122*d + 82. What is q(-31)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*q - 1761 - 395 = 844 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 17*f + 14*f)*(6 - 3 - 4).\nAnswer: -29*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**3\/6 - 5*r**2 - 21*r. What is the lowest common multiple of (60\/(-12))\/((-2)\/8) and q(-18)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -7. Solve -f - 2*l = -9, -2*f + l = r*l - 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (300\/(-40))\/((-90)\/300)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088246 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 60 = 0. Suppose 4*y - 4*o = 0, -y + 4*o = o + 4. Suppose -z + 4*m + 15 = 0, -z - y*m = 3*m + k. Sort 2, 3, z in decreasing order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 + 70 + -20 + -1 - (-18 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -0.02, 1\/6, 0.5, -5 in decreasing order.\nAnswer: 0.5, 1\/6, -0.02, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 81\/10 and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 37. Solve 0*b + r + 6 = 2*b, 4*b = -z*r + 26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -59, -88, -117, -146?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, k: 3}. Give prob of sequence lo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 1. Let o(u) = -4*u + 2. Let s(x) = -6*o(x) - 13*q(x). Let n be s(-1). Suppose -3 = -n*w + 3. What is the least common multiple of w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -25713\nAnswer: -25721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 178 = 11*y - 8*y, 0 = t - 3*y - 38. Suppose -5*k = t - 55. Solve -2*i = k - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**4 - 5*m**3 + 200*m**2 - 5851.\nAnswer: -12*m**3 - 15*m**2 + 400*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310203 divided by -15.\nAnswer: 103401\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 6*j - 220. What are the prime factors of 4\/j - 19910\/(-50)?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9215, -13, 0 in descending order.\nAnswer: 0, -13, -9215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 302 + 11327255?\nAnswer: 11327557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**3 + 6*i**3 + 6*i**3 - 2*i + i**3 + 2*i + (-8 + 8 - 5*i**2)*(-4*i + 0*i + 3*i) in the form s*i**3 + v*i + a + y*i**2 and give s.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.91 - -0.11. Let m = -2 + 3.2. Let r = m - t. What is the nearest to 1 in 1, r, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*d - 4*s, -4*s + 0 + 13 = -d. Let g be 3\/d + 13\/5. Differentiate -8 + 16*x - 1 - g*x wrt x.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-113)\/9 + (-8)\/(-36). Let v = z - -12. What is the smallest value in 3, v, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17.7 - 0.8. Let w = a + 19. What is the nearest to 2\/3 in -0.4, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -1684*z**5 + 95980*z**4 - 363288*z**3 + 355280*z**2 + 1696*z = 0?\nAnswer: -2\/421, 0, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**3 - 28318350*q**2 - 141591905*q + 169910250 = 0.\nAnswer: -6, 1, 5663675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000011 - -1010010?\nAnswer: -1010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 122582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-6 + -1 + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19914961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**2 - 702. Let u(a) = -24*a + 4. Determine b(u(t)).\nAnswer: -48*t + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 117?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 9*r + 5. Let d be q(-9). Let c = d - 4. What is the remainder when 23 is divided by 1 - 0 - (-8 + c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-4\/5)*f))**(-20\/3)*f\/(f\/(f\/(f**(3\/29)\/f)))*f*f\/(f\/f**(39\/2)))**(-14\/5) assuming f is positive.\nAnswer: f**(-2793\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(156) - (sqrt(156) + -1*sqrt(156))*4) + sqrt(156)))\/(-3*(sqrt(12) - (sqrt(12) + sqrt(300)))*-1).\nAnswer: 2*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -763605278.\nAnswer: -763605275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126*a**2*m**2 - 4*a**2*m - 76*a*m*p - 8*m**2*p - 2*m*p wrt m.\nAnswer: 252*a**2 - 16*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 57?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**2 - 5*f**2 + 0*f**2 + 9 - 4*f**2 - 9 + 3*f**2 - 2*f**2 + 0*f**2 + (-2*f**2 - 4 + 4)*(-1 + 1 + 1))*(-1 + 2*f + 1).\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 196892\/133 - 28122\/19. Let n be ((-9)\/(-42))\/(6\/32). Let -8\/7*k + n + o*k**2 = 0. What is k?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3406 - -30712\/9. Calculate the common denominator of d and -31\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -2\/7, -0.9, 5, -5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 104702\/130 + (-4)\/10. Let v = w - 542. What are the prime factors of v?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 8:42 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 2, a: 2, w: 4, t: 1}. Give prob of sequence ws.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 s when three letters picked without replacement from {f: 4, t: 1, s: 5}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d = 10*d - 17*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6280)\/(-25) + 1*-1. Let g = -248 + b. What is the common denominator of g and 43\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79816.\nAnswer: 2, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 16 = 8*q. Suppose 11 = -5*o + 71. Suppose q*x + 1 = -4*n - 15, -5*x - o = -3*n. Sort -0.2, n, -4 in descending order.\nAnswer: -0.2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 < -1\/184530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 2103?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -14542, -14569, -14604, -14641, -14674?\n\"Answer: p**3 - 10*p**2 - 4*p - 14529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 1, k: 1, g: 1, p: 1, w: 2}. What is prob of picking 1 k and 1 w?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 58\/30 - (-158)\/395 - 1. Find i, given that -25\/3*i**2 - r + 20\/3*i = 0.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 809*u = 817*u - 192. Let l be 332*3\/u + 3\/2. Suppose 5*k - 221 = -3*r, -4*r = -4*k + 2*k + 78. Is k at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1914786.848 to the nearest 10000.\nAnswer: -1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 11 + 1 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18425.\nAnswer: 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2742328648 divided by 4.\nAnswer: -685582162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*n - 528, -5*l + 199 = -2*n + 1519. Let y = l + 264. Is y bigger than 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 5*t**2 - 8*t - 8. Suppose 2*n + 0 + 2 = v, 4*v - 4*n = -8. Let g be z(v). Suppose p - 4*o = 15, 87 = g*p - 4*o - 9. Does 9 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 9:47 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (71 + -29 + -41)*(-2)\/266?\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 55*p**4\/4 + 2*p**3 + 9*p**2\/2 - 40*p + 262. What is the hundreds digit of s(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/30 - 57\/18 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1359 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.2 (c) -2 (d) -2\/5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 10. Let n be d*(30\/(-21) - -1). Suppose -4*t - 7 = 1, p - 1044 = -n*t. Round p to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {x: 2, l: 3, j: 1, y: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19)\/(-57) - (2 + 35\/(-3)). Suppose m - 10 = -2*f. Suppose 10*k + f = 20. Solve 4*y - k = 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - -2)*2\/4. Suppose -18*k + 19*k + 4*z + 3 = 0, 0 = -2*z - 6. Suppose v*t = -k + 132. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(-3*sqrt(1584)*-1 + 3))**2.\nAnswer: 9936*sqrt(11) + 513745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 - 18*l + 99. Let r be z(4). Let a be -1 + 7 + -12 + 6 - r. Solve -5*n + 4*j + 3 = -2, 30 = a*n + j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 670897, 1341793, 2012689?\nAnswer: 2683585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**2 - 1\/6*s**3 - 1\/30*s**5 - 1\/120*s**6 + 1\/12*s**4 + 0*s + 0. Determine f(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2688 divide 26033420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6750 + 6747. What is the nearest to 0 in 2, 0, z, 127?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*o*x**2 + 2*i**2*o - 13*i**2 - 4*i*o*x**2 - 2*i*o*x + 3*i*x**2 - 2*i + 18*o*x + 35*x**2 wrt x?\nAnswer: -2*i**2*o - 8*i*o + 6*i + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 22 - 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 560\/30912*(((-40)\/(-12))\/(-5))\/(25\/(-15))?\nAnswer: 1\/138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 222257454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a decade in months?\nAnswer: 1608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1004 + -5?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - -175. Suppose -w - u = -3*m, -5*w + 4*w + 130 = 2*m. Let o = -43 + m. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 9*p + 6. Let r be v(-9). Solve 0*y + 2*y = r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115 - 97. Suppose 3*s + 0*s = q. Solve 2*d + s = -0*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -848*c**7\/21 - 3*c**5\/20 + 5*c**3\/2 + 43*c**2\/2 - 123*c - 14. Find the second derivative of i(k) wrt k.\nAnswer: -33920*k**3 - 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p - 1. Let l(u) = -15*u + 7. Calculate n(l(k)).\nAnswer: -60*k + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 24*j. Let n(o) = o + 2882 - 2882. What is r(n(x))?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-30))\/(((-8)\/(-5))\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*3*(sqrt(2000) + 1 + 1).\nAnswer: 41 + 360*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 9\/7, 0, 2\/9, 1, -0.1, 1\/37 in descending order.\nAnswer: 9\/7, 1, 2\/9, 1\/37, 0, -0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 9:24 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from zntzztnczt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -271 divided by 5\nAnswer: -271\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 4. Let y(w) = w**3 + 3*w**2 - 8*w + 3. Let r be y(2). Let c(a) = a - 2. Calculate r*c(v) - 4*l(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0275 and -5516.14.\nAnswer: -5516.1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7857666 years to decades.\nAnswer: 0.07857666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 76*i + 722.\nAnswer: 2*(i - 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 at least 46358?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 11*m - 7 = 0. Let x(s) = 12*s**2 + s - 1. Let h be x(m). Solve -h = -5*i - 0*i - 5*j, -j = 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g - 3. Let c(n) = -2*n**3 - 15*n**2 - 3*n + 31. Suppose j = 4*k + 30, -26 = 2*k - 3*j - 6. Let w be c(k). Determine p(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*12700\/762\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-25) + (-6)\/(-70). What is the nearest to -2 in 2\/3, x, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/5, -4, -164, 1, -9023 in ascending order.\nAnswer: -9023, -164, -4, -0.3, -1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2014909 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -11 - 11\/5*t**5 - 6*t + 0*t**4 + 0*t**3 + 0*t**2. What is the derivative of a(d) wrt d?\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, w: 4, i: 5, b: 3, g: 1, q: 1}. Give prob of picking 2 h and 1 g.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1471.63g?\nAnswer: 0.00147163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4 + 60*b**3 + 520*b wrt b?\nAnswer: 24*b**2 + 360*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.151 + 1.151. Let a = 107 - 539\/5. What is the third smallest value in a, -0.5, 1\/6, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -636 = 11*b + 46. Is b < -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 1. Let v = 12558 + -226139\/18. What is the common denominator of v and a\/12 - (-242)\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-31 + 12 - -6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 10774, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 91 = 4*d - 169, 5*f = -3*d + 185. What is the remainder when d is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1141616 and -1013.\nAnswer: -1156457008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3612, -1.3, -3 in descending order.\nAnswer: 3612, -1.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/4 + 2259*m**3\/4 - 87025*m**2\/4 + 599517*m\/4 = 0.\nAnswer: -2297, 0, 9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 + 4335*z - z**3 - 4337*z - 2*z**2 + z**2 + 2 to h + j*z**2 + a*z**4 + o*z**3 + u*z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34534377?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5300.9 - -16?\nAnswer: -5284.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*i, 9 = 4*i + d + 3. Let t(c) = -c**3 + 1. Let o be t(i). Solve 15 = 3*k - 3*n, k + 3*k - 3*n - 16 = o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-172)\/(-28)*(-5012)\/1432?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -4*p - 14, -23*p = -20*p - 5*n + 30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90113506*k**2 - 256545216*k.\nAnswer: -180227012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1484610 and -31\/164.\nAnswer: 2969220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by 470093?\nAnswer: 76\/470093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 3:09 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1 = -u, -11 = 4*u + o - 24. Let c = 0.23 + 0.27. Let y = -1.7 + -9.3. What is the closest to -2 in y, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 34 = 3*t + 16, 3*w - 1 = 4*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - -10. Let u be 0 - 1 - (9 - 15). Suppose 11*j = -f + 6*j - d, f + j = -u. Solve f = -2*g - 4, -4*n - 2 = -n + 4*g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74330050531250 + 74330272168219.0000012. Let p = s - 221637035. Let h = p + 66. What is h rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1476 and -1\/1230.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 - 2*l - 7. Let t be x(-3). Find the first derivative of -69*r - t*r - 2*r - r - 100*r + 229 wrt r.\nAnswer: -207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16055020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38\/(-14) - 44\/154. Is ((-444)\/2)\/g - 2 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 709578.6 days to nanoseconds.\nAnswer: 61307591040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -26\/3, -3\/5, 1?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32635.\nAnswer: 5, 61, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 + 6*q**3 - 3*q**2 - 56*q - 48.\nAnswer: (q - 3)*(q + 1)*(q + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 852588 and 568392.\nAnswer: 1705176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12437136 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-112)\/10 - (-3)\/15. Let p = -9 - q. Put -1, -3, p in decreasing order.\nAnswer: p, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c + 2. Let n be m(-6). Suppose h + n = 5*h. Suppose 2*j + 4 = 0, -8*f = -3*f + h*j - 226. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*(v*v*v**(-4\/17))\/v*v**10 assuming v is positive.\nAnswer: v**(200\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 210 - 12. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 313605, 313572, 313505, 313398, 313245, 313040, 312777, 312450?\n\"Answer: -g**3 - 11*g**2 + 7*g + 313610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*((1 - -1) + -1). Suppose 2*f - 4 - 1 = -5*t, -3*t + g = 2*f. Let o(i) = 7*i + 8. Let h(u) = -u - 1. Determine t*o(l) + 6*h(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.90530306 rounded to three decimal places?\nAnswer: 6.905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2\/17 (b) 0.3 (c) 2 (d) -9 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.44508, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, m: 8, w: 3, p: 3, x: 1}. Give prob of picking 1 x and 1 m.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 231968570 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 3*h**2 - 3*h**2)*(3*h**2 - 9 + 9) - 4*h**4 + 0 + 2*h**4 + 1.\nAnswer: -8*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u = 7*u + 92 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**2)\/s)**24*(s**2)**(-40) assuming s is positive.\nAnswer: s**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 112?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 12:52 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 17*q - 11. What is the tens digit of a(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -339, -341, -341, -339, -335, -329, -321?\n\"Answer: w**2 - 5*w - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.8 - 0.8. Let r = 0.13 + -0.13. Let i = -3 + r. Which is the second biggest value? (a) i (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 303332*m**5 + 156*m - 188.\nAnswer: 6066640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0, -2, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7363? (a) -4 (b) 0.4 (c) 4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131184771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, 228, 566, -24 in decreasing order.\nAnswer: 566, 228, 8, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - s**2 + 3*s - 3. Let z(c) = -c**2 + 4*c - 3. Let n be z(4). Give k(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acccijaaaicj. Give prob of sequence ia.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)*v**(-3\/5)*(v*(v*v*v**(-5\/6))\/v*v)\/v*v**(-2\/25))\/((v**(-4)*v**(-2\/3))\/((v*(v**(2\/5)\/v*v)\/v)\/(v*v**(-5\/2)))) assuming v is positive.\nAnswer: v**(154\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 6*j + 3. Let r be f(5). Let x(o) = 81*o + 731. Let i be x(-9). Solve 3*b - k = -12, -r = 3*b - b - i*k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 1260?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 36 = -2*p, -26*t = p - 29*t + 27. Let c = 4.03 + -0.03. What is the third smallest value in c, p, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by ((-46)\/6)\/(23\/(-69)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/19, 3538, 126.\nAnswer: -8\/19, 126, 3538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.15 (b) -5 (c) -3 (d) 5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + sqrt(121)*-2)*-6)\/sqrt(11).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*z = 13, -3*q - 6*z + 11 = -7*z. What is the third derivative of -98*s**q + 149*s**4 - 34*s**4 + 50*s**2 + 51*s**2 - 9*s wrt s?\nAnswer: 2760*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (56\/2)\/((-4)\/352*-4). Suppose -x*m = -613*m - 5703. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 8:47 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92563010*l**5 + l + 18769331 wrt l.\nAnswer: -1851260200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-109*2)\/(-2 - 0). Let u(x) = -4*x**2 - 6*x - 1. Let i be u(-4). Let n = m - i. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*w**2 + 24*w**2 + 104 + w + 82.\nAnswer: -8*w**2 + w + 186","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 342061*r - 342064. Calculate b(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Which is the smallest value? (a) -10 (b) 1\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 l, and 1 j when four letters picked without replacement from ljlddldj?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - 10b54004?\nAnswer: -10b53ddb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - 114*s**2 + 5*s + 133. Give a(-57).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*x**2 + 33*x**2 + 2*x**2)*(-1880*x + 190*x**2 + 1880*x) as c + s*x + j*x**2 + d*x**4 + q*x**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((m + 3*m - 2*m)*(-1 + 1 + 1) + m - 2 + 2)*(-3 + 1 + 1)*(-216961*m**2 + 633*m**4 + 216961*m**2).\nAnswer: -1899*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3047 is divided by 71.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10658 is divided by 534?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9105.696 + 9096. What is r rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414 is divided by 307.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 12*p**2 - 11*p - 6. Let u be (5 - 4)\/((-1)\/(-2)). Let c(d) = 2*d**3 + 25*d**2 + 22*d + 12. Let w(i) = u*c(i) + 5*y(i). Does 6 divide w(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5\/3 - 8*k**4\/3 + 7*k**3 - 22*k**2\/3 + 8*k\/3 = 0 for k.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nznazann. What is prob of picking 1 a, 2 z, and 1 n?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 7:00 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u - 1. Let r(o) = -11*o - 4. Let t(h) = 3*r(h) - 8*y(h). Suppose -1 = -w - k, -w = -0*w + 5*k + 7. Suppose w = 4*x + 27. Give t(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51762506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36.7? (a) -1 (b) -2\/3 (c) -3 (d) -19\/5 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/936240 and 113\/1170300.\nAnswer: 4681200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = f - 3972902, f - 5*x - 3972899 = -x. Suppose b + f = 33757946. Let k = -14385059 + b. What is k rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 984 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: Which is smaller: 1525\/6 or 254?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2 + 11)) + (9 - -4) + 22.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.028 - -1.822. Let o = n - -0.15. What is the third smallest value in o, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from {x: 2, l: 1, k: 1, o: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6092206155 to the nearest integer?\nAnswer: 1826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 2074?\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.30796 from -21.\nAnswer: -20.69204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**5\/20 - m**4\/48 + 2*m**3\/3 + m**2\/2 + 115*m. Factor t(j).\nAnswer: -(j - 2)*(j + 2)*(4*j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*t - 10141 = -158*t + 37*t - 37441 for t.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 214\/2881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 17 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -300, -1272, -2892, -5160?\nAnswer: -8076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a + 4. Let g(y) = -8*y + 7. Let u(p) = 3*g(p) - 5*m(p). Let s be u(-1). Suppose -5*f = -c - 16, -4 = -c + 3*f - 2*f. Solve 11 = s*t - c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 172491, 172490, 172489?\n\"Answer: -o + 172492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 1)*(3*m**2 - 5*m**2 + 6*m + 0*m**2).\nAnswer: 6*m**2 - 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 + 30*n - 13. Let o be (-2)\/((-22)\/(-44)*(-68)\/(-5) + -7). Determine k(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 23*h**2 - 3*h - 57. Does 7 divide y(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181563 is divided by 670?\nAnswer: 663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.774 greater than -4\/469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110 - 489.\nAnswer: -599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -673, -0.6, -2\/9, -0.3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1077.928803 microseconds?\nAnswer: 0.0000000017822896875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-24)*(-2 + 0). Sort -0.2, 5, y, -0.1.\nAnswer: y, -0.2, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - 6.356\nAnswer: -16.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9790*p**2 + 7*p - 3. Let y(n) = n**2 - n + 1. Let r(a) = -i(a) - 6*y(a). Let w be r(-7). What is w rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 21043.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -18*m - 90. Let h(d) = -11*d - 60. Let l(w) = -8*h(w) + 5*z(w). Let u be l(11). Solve -u*g - 2 = -7*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66639115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = 4*i - 2, 0 = -3*s. Suppose 4*t - 22 = 2*y + i, 4*t + 2*y - 40 = 0. Solve -t = a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1295.33663*-0.4\nAnswer: 518.134652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 313*v. Let z(k) be the first derivative of -k**4\/12 + 3*k**2\/2 - 8*k - 36. Let a(w) be the second derivative of z(w). Calculate a(t(x)).\nAnswer: -626*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 1:38 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07293923019 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74894 is divided by 24963.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*p - 19 = -16, v + 5*p - 12 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 + 133*a**3 - 16*a**2 - 134*a**3 - 3*a**4 to the form b + v*a**2 + d*a**4 + t*a**3 + o*a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 5*i**2 + 9*i + 8. Let q be (9\/(-2))\/(6\/8). Let l be v(q). Let z = -7 - l. Solve -n - 20 = z*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 25809539*y - 4 + 3.\nAnswer: 25809539*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20446 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 + -7 - (5 - 9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6481?\nAnswer: 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 12*r = 13*r + 104, -6*t + 4*r = 78 - 296 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -18*x - 5. Let o(z) = 37*z + 10. Let t(h) = 4*o(h) + 9*y(h). What is the first derivative of t(b) wrt b?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.2, 1\/4, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*t**3 + 5*t**3 - 2)*(44*t - 2*t - 23*t).\nAnswer: 57*t**4 + 57*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5582512651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 575 and 6055?\nAnswer: 696325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17061628 is divided by 150?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8881191 to the nearest integer?\nAnswer: 2980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1311 = -83*w + 31*w - 271 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -176 and 2.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 154709585257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*i = -57*i - 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101014 is divided by 15822.\nAnswer: 6082","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 7*r**2 - 6*r + 3. Let s be t(-6). Find the second derivative of -5*j + j**s - j**3 + 4*j + j**3 wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2 + 2. Suppose -18 = b*y + 30. Let l = y - -24. What is the least common multiple of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2934 and 45754263.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3)*(0 - 9). Suppose 10 = 4*d + 2*c, 2*c = 3*d - 5*d + 4. Factor -p + 2 - d*b + b - b**2.\nAnswer: -(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -z + 19, -d = -2*d + 4*z + 9. Let g(a) be the second derivative of -1\/4*a**3 + 3*a - 1\/8*a**4 + 3\/40*a**d + 0 + 3\/4*a**2. Factor g(i).\nAnswer: 3*(i - 1)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -p + 3*p. Let h = -2.55 - -2.55. What is the second smallest value in p, h, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -166642 - 4642?\nAnswer: -171284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10100 (base 2) to base 5\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 29554, 29555, 29556, 29557, 29558?\n\"Answer: x + 29553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 30 = -4*k, -3*r + 36 = -r + k. Let h = 28 - r. What is the remainder when h is divided by ((-10)\/(-6))\/((-3)\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nknnknnnnkknk. What is prob of sequence knk?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -3\/4, 2\/63, -1\/3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 32 - (-5 - (-9 - -8) - 0).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s + 3367 = -36153. Is s a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**3 + 7*z**3 - 4*z**3)*(10 - 17 - 7 - 2715*z + 14 - 2707*z) to v*z + c*z**2 + j + o*z**3 + g*z**4 and give g.\nAnswer: -5422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73670039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -83, 104 in decreasing order.\nAnswer: 104, 1, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**10)\/o*o)\/(o\/((o\/((o*o\/(o\/(o*o**12)*o))\/o*o*o))\/o)) assuming o is positive.\nAnswer: o**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7\/(o*(o\/o**(3\/10))\/o)*o**(2\/27)\/o**0*o*o*o\/o**(2\/15)*o**(-5\/3)*o**(-1)*o**(-3)\/o assuming o is positive.\nAnswer: o**(139\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -128, -190, -252, -314?\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 75 = -99 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3702 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 - f**2 - 13*f + 75. Is i(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -297979542*h**2 - 458741346*h wrt h.\nAnswer: -595959084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3134*m**6 - 552*m**2 + 8*m**5 - 3082*m**6 - m**5 wrt m.\nAnswer: 6240*m**3 + 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4624*a - 4813*a**2 + 4624*a)*((a + 0 + 0)*(-1 - 4 + 3) + 0*a - a + 0*a + 1 - 1 - a + 1 + a - 1).\nAnswer: 14439*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 1:42 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -5. Let x = 4 + 1. Suppose k = -10*n + x*n - 550. Round n to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11012 divided by 134?\nAnswer: 5506\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u**2 + 4*u + 17. Let b be i(-3). What is the common denominator of (5\/(-20))\/((-9)\/b) + 0 and 61\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 566 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -5*q + 4*k, q + 27 = 2*k - 5*k. Let l = -28 - q. Which is the nearest to 0? (a) l (b) 10 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1185 and -1.\nAnswer: -0.8815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -625 and 107.\nAnswer: -66875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3137 is divided by 1568.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in 1\/446, 4, 2\/9, -2?\nAnswer: 1\/446","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + m - 2. Let q(g) = -g**2 - g + 1. Let v(x) = 4*f(x) + 6*q(x). Let c be v(2). Solve -c*h = -8 - 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i. Let b(a) = -2 + 3 + 3 + 0 - 13*a. Give t(b(f)).\nAnswer: 26*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23080*v**5 + 1640*v**3 + 26585926*v wrt v.\nAnswer: -461600*v**3 + 9840*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) -1 (c) 3685 (d) -6 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, s: 11}. Give prob of picking 4 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9832260*b**3*o**3 - 52*b**3 - 13*b**2*o**3 - 15343*b**2 - 11*o**2 - 1 wrt o.\nAnswer: -58993560*b**3 - 78*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k - 17*k - 1224 = -87*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/115, 0, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*y + 578*y - 7533 = 651 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((25\/(-285))\/(-5)*-4)\/(2\/3)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -752.34 + 746. What is m rounded to 1 dp?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 4. What is the greatest common divisor of 44 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -306 + 282. Solve v*j - j = -20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138 a factor of 25950432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27581 is divided by 1313.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 34)*(-5)\/((-1650)\/12). Factor 0*k - j*k**3 + 4\/11*k**2 + 0.\nAnswer: -2*k**2*(7*k - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -467, 0.10431, 3?\nAnswer: 0.10431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4223629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291 is divided by 1289.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 - 4*g + 6. Let c(v) = 3*v**2 - 4*v + 7. Let k(j) = 5*c(j) - 6*p(j). Let h be k(4). Let z = h + 50. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p - p**2)*(-6 + 5 + 3 + (2 + 0 - 1)*(1 - 2 - 1) + 21 + 11 + 7).\nAnswer: -39*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**14)**(-8)\/(a**(-11\/4)\/a)**(-43) assuming a is positive.\nAnswer: a**(-1125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 3)*(3\/(-10))\/(-2 - -3)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 4:11 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/3 - -3)*(2 - 1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2913812, 2913808, 2913804?\nAnswer: 2913800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/340 (b) -2\/3545 (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2555 + -389. What are the prime factors of c?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + -2 + 68 + -17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 57637, 115275, 172913, 230551, 288189?\n\"Answer: 57638*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 483 - 478. Suppose -188 = -3*s - 4*h, 4*s + 56 = a*s - 2*h. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 138552600 to the nearest 1000000.\nAnswer: 139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 450 and 66312000?\nAnswer: 66312000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -887 + 291 + 317 + 7*l**2 + 313 + l**2 + 2*l**2 - 4*l**2 + l - l + 2*l**2 + (3*l + 0*l - 4*l)*(2*l - 2*l - 2*l).\nAnswer: 10*l**2 + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4*48\/(-36). Suppose 5*o + 3*g + 2 = 6, -i*o = 4*g - 10. Let z = 5 + o. Solve -z*f - 4 = -24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 22*g + 16*g + 1.\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**4\/12 + 257*t. Let d(u) = 12*u**2 + 4. Determine d(l(b)).\nAnswer: 12*b**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from sssymwsbowsbo.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 110658.8 nanograms?\nAnswer: 110.6588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1777041 and 0.4.\nAnswer: -1777040.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252807?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3532 - 1716 = -114*x - 23*x - 27*x for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (100\/(-3010))\/(14 - 5025\/350)\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96789137, -96789141, -96789147, -96789155, -96789165?\nAnswer: -96789177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a hour in seconds?\nAnswer: 6120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**4\/6 - 2*h**3\/3 + h**2 + h + 1. Let y(i) be the first derivative of a(i). Is y(2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 8703*l**2 - 16897862*l - 16889160.\nAnswer: -(l + 1)*(l + 2922)*(l + 5780)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1123 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 824285 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 52*d**2 - 57*d**2 + 101*d**2)*(-d + 2*d + 4 + 0*d).\nAnswer: -8*d**3 - 32*d**2 + 2*d + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33976 to the power of 1\/2, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (784\/224)\/((-1)\/(-2)). Solve 0 = 6*c + 11 + u for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*o + 148, 23 + 17 = -f - 2*o. Let k be 122\/8 - 24\/f. Solve c + 10 = -2*b - c, 4*c + k = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 600*q - 17876.\nAnswer: -4*(q - 109)*(q - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600792379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -5 (c) 5 (d) -2\/323149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -11. Let y = -1 + a. Which is smaller: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -10*f - 18. Suppose -i + 25 = 4*i. Let j be (-2)\/5 - (-27)\/i. Put j, f, -4 in decreasing order.\nAnswer: j, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 122\/((-2)\/10 - (-5 + 5)). Round l to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 369*c + 22050. Let x be i(-75). Let v(o) be the first derivative of -2 + 15*o + 1\/3*o**3 + 0*o**2. Give v(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -73*x - 76. Does 15 divide n(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 6*u + 122. Let z(f) = -16*f**3 - f**2 + f - 1. Let s be z(1). Let p = s + u. What is the highest common divisor of 176 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-2))\/(4*(-9)\/(-18)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 809 + 19088?\nAnswer: 19896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 93\/7, 0.523, 16?\nAnswer: 0.523","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.09 - 0.91. Let y = 1.4 - 1.7. What is the nearest to y in 1, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-118)\/(-12))\/((3\/(-27))\/(-24*(-19)\/684))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15134.1, -0.4, -5, -0.06 in decreasing order.\nAnswer: -0.06, -0.4, -5, -15134.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v = 25. Which is the biggest value? (a) 1 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 283 = 13. Let z = 22 - 16. What is the greatest common factor of z and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-28)\/21*(-33)\/2. Let h = 29 - s. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3585*r**4 - 610?\nAnswer: -14340*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 40 - -28 - 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 127*x - 63010 = 125*x, 0 = 4*x - 4. What are the prime factors of i?\nAnswer: 2, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmmm when four letters picked without replacement from {z: 1, k: 4, a: 1, m: 3, c: 2, t: 7}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-5))\/(5\/125*5). Suppose -m*g = -g. Suppose -2*j - 4*z - 30 = g, 2*z = 3*j + 6*z + 41. What is j rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**3 - 3. Let c be 23 - 8 - (3 + (2 - 2)). Let a(b) = -9 - 5 + 7 - c*b**3 - 3. Let h be (-5)\/25*-6*5\/(-2). What is h*a(n) + 10*p(n)?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from utffuquufuuuwfw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - 835\/9. What is the closest to 0 in -4\/5, 7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57 + -62. Which is the nearest to 0.1? (a) x (b) 1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - j + 2)*(0 - 1 + 0) - 2*j - 1 + 1)*(-432 - 66 + 208) to a*j + k and give a.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 1\/2*c**4 - 71*c + 0 - 41\/2*c**2 - 7\/3*c**3. Find the first derivative of j(x) wrt x.\nAnswer: 12*x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 7.614\nAnswer: -0.15228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -710 + 711. Is 1061 + (2 - 6)\/(i - -1) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*(1\/(-2) - 1). Suppose b + 87 = -4*t, 6*b + c = 3*b. Calculate the least common multiple of ((-24)\/14)\/(6\/t) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 31. Let q be w(14). Let k be (-4)\/(-16) - (-1035)\/(-12). Let l = -84 - k. Solve l*o = q*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105350167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26031871433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, e: 2, q: 1}. What is prob of sequence reqr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 230, 901, 2006, 3533, 5470?\n\"Answer: -2*p**3 + 229*p**2 - 2*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 819.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-55)\/22*14\/(-5). Let d be (-2 - 1)*(-6 + 33\/9). Calculate the highest common divisor of d and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111424 divided by -2.\nAnswer: 55712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425*p - 82*p + 9346 + 8906 = 0. Let l be (12 - 3)\/(1\/7). What is the greatest common factor of p and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 269*s**4\/4 - 931*s**3\/2 + s**2 + 1088. Find the first derivative of j(f) wrt f.\nAnswer: 1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 641.14 - 631.35034. Let x = 9.8 - m. What is x rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 + 57*r + 48733. Calculate g(171).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 620528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -259*j**2 + 2*j - 15. Let o be c(-5). What is o rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1544 + -1544.2406. Let u = w + 0.59041. Let j = u + -0.35. Round j to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from ngibdig.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206304 by -2149.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*2*(-3)\/12. Sort -1\/2, 16, 4, b in decreasing order.\nAnswer: 16, 4, -1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 2 - 2 + 2*g + 9 - 9 + (-11 + 3 - 9)*(-g - 3*g + 6*g))*(-8*g + g - 3*g) to k*g + j + n*g**2 and give n.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4870)\/20454)\/(10\/72).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22571750*s**2 + 19912327*s?\nAnswer: 45143500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 75. Let q be 3\/((-1)\/(14\/3)) + 3. Let a be q\/(-1) + (0 - -3). Calculate the highest common factor of a and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17816516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + 13*b**2 - 8*b**2 - 1397 - 117.\nAnswer: 2*b**2 - 1514","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 9*q**2 - 15*q - 7. Let j be y(-7). Suppose 3*f + 5*w - 968 = 0, 17*w - 14*w + 15 = j. What are the prime factors of f?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*x**3 + 1971*x**2 - 1194*x - 792 = 0. What is x?\nAnswer: -132, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a week?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36760 and 1117480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - ((-3 - (18 - (17 + -10))) + 1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -22 (c) -3\/48988\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-11 + (22 - 17))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 215\/572 (b) -0.3 (c) -1\/6 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**5 - 16*l**4 + 164632*l**3 - 8*l**2 - 61*l - 10225 wrt l?\nAnswer: 60*l**2 - 384*l + 987792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 3 (c) 14\/5 (d) 5074 (e) -1\/5 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1*257798\nAnswer: -257798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 9, -2, -29, -78?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 728d (base 16) to base 3\nAnswer: 1111020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 166557 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10570 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 8*m**2 + 11*m - 3. Suppose -18 = -4*u + 2*u. Let i be d(u). Let q = 19 - i. Solve 19 - 3 = -q*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 + 98.2. Suppose -8*o = -25*o + 17. Let l = -11 - -20. Which is the nearest to 1? (a) s (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*p + 729, 3*p + 2*f = -0*p + 1096. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49 and -41\/227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 6. Let u(k) = 198*k + 12. Let f(p) = 4*i(p) - 2*u(p). Let a(h) = -h. Determine a(f(y)).\nAnswer: 384*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1380, -1433, -1476, -1503, -1508, -1485?\n\"Answer: a**3 - a**2 - 57*a - 1323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 13. Suppose o = -10*i + 6*i. Is 1\/38 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 988*p - 655 wrt p?\nAnswer: 988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-48)\/(-40))\/((-108)\/(-45)))\/((-110)\/240)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/275 and -47\/1445.\nAnswer: 79475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsxq when four letters picked without replacement from dqddqdssxddddd.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -729, -716, -703?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - (25 - (76 + -29)) - (0 - 12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 a when three letters picked without replacement from novnanvvnnqnnivnavnn.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyyyyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p*p\/p**(-19)*p)\/p)*p*p*p)\/p)\/((p*p**(3\/8)\/p)\/p)*(p*p**8)\/p*p*p\/(p**(-16)*p) assuming p is positive.\nAnswer: p**(69\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (4 - 23 - (-19 - -21)) - (-50 + -1).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*t**2 - 48*t**2 - t**2.\nAnswer: -143*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z + 13 = -15*z + 13. Suppose -7*n + q = -3*n - 17, 3*q = -n + 1. Put -4, z, n, 3 in decreasing order.\nAnswer: n, 3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8\/5 + -78\/55. Put 4, -2, y in ascending order.\nAnswer: -2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/11*w + 2\/11*w**2 - 28\/11.\nAnswer: 2*(w - 7)*(w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 11 = -2*s + 3*c, -2*c + c + 3*c - 10 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*-2)\/sqrt(4))**2 - sqrt(133)\/(1*sqrt(7)).\nAnswer: -sqrt(19) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -11*w**4\/12 - 2*w + 2230. Let z(l) = -123*l**2. Determine n(z(t)).\nAnswer: -166419*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 + 7467*x + 625748. What is h(-82)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -3532.\nAnswer: 7064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 191 and 168653?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75731 is divided by 1646.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.29603l to millilitres.\nAnswer: 12296.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 - 103*y - 33. Determine m(-34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2\/3)*t))\/(((t**(-13\/2)\/t*t)\/t)\/t)*(t**8*t)**(2\/61))**(-1\/17) assuming t is positive.\nAnswer: t**(-3463\/6222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1518, 1515, 1512, 1509, 1506, 1503?\n\"Answer: -3*t + 1521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 + 37 + 64)*(3*s - s + s).\nAnswer: 216*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 8 + -1 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123 - 90. Which is the closest to -1? (a) -5 (b) -3\/2 (c) 0 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 121*z**4 - 4*z**2 - 593?\nAnswer: 484*z**3 - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p = -56. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 237741*w - 1426338.\nAnswer: -3*(w - 79241)*(w - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0 - 2. Suppose 5*w = -4*x + 267, -2*x + f*w - 6*w = -138. Suppose -4*z - 17 + x = -2*q, 0 = 3*q - 15. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**4 - 3*v**3 - 2498*v**2 + 26176*v wrt v.\nAnswer: 36*v**2 - 18*v - 4996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/20)\/((-2)\/8). What is the closest to 1 in 1, k, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2087 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2 + 3*t. Let z(d) = 18*d**2 - 10*d - 1. Let u(k) = -37*k**2 + 18*k + 2. Let q(b) = 2*u(b) + 5*z(b). Calculate 11*p(v) + 2*q(v).\nAnswer: -v**2 + 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -56 + 44e3ac?\nAnswer: 44e356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899865609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/7 + 52916*n**3\/7 + 211698*n**2\/7 - 52916*n\/7 - 211696\/7 = 0. Calculate n.\nAnswer: -4, -1, 1, 26462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.1305ml in litres?\nAnswer: 0.0801305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 1.0401\nAnswer: -0.10401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 6. Let y be -3*((-4)\/4 + 0). Suppose 1 - 7 = -y*f. Put r, f, -5 in decreasing order.\nAnswer: f, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 - 777\/(-126))*-6. Let j = 0 - -0.2. Do m and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 460\/630 + 4\/(-14)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400091587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -4, 0, 95 in ascending order.\nAnswer: -4, 0, 4, 7, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-2 - 2\/(-2)). Let z(r) = -5*r + 4. Let j be z(a). Is j greater than 1\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 + -7)\/(((-2)\/(-51))\/2). Let f = 270 + v. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4589323, -9178650, -13767979, -18357310, -22946643?\nAnswer: -27535978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**4\/4 - 7*u**3\/15 + u**2\/5 - 6. Determine n so that r(n) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -7. Let m be 3\/(-18) + 16\/6. What is the third smallest value in s, m, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1 - -2) + (1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*i + 3*h + 1, 0 = -3*i + 5*h + 16. Let o(c) = 3*c**2 - 2*c + 1. Let y(q) = q**2 - q + 1. Let p(u) = o(u) - 5*y(u). Calculate p(i).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 3. Suppose 2*w + p = 24 + 17, -s*p = 4. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/2 + 109*j**3 - 222*j**2 - 436*j + 880 = 0 for j.\nAnswer: -220, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26516515535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64\/19 - 1510\/437. Sort -0.3, -0.5, t, 0.5.\nAnswer: -0.5, -0.3, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 5*f**2 + 3*f - 9. Let c be x(5). Let d(u) = 0*u**2 - c*u**2 + u**2 + 4*u**2. Let b(h) = 17*h**2. Calculate d(b(o)).\nAnswer: -289*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kiy when three letters picked without replacement from pppppypkpkepepip.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7513400 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -39. Suppose -5*q - 10 = 4*o, q - 2*o - 3*o - i = 0. What is the nearest to q in 4, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 * -0.6161\nAnswer: 9.8576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**6\/40 - 5*j**3\/6 - 2*j**2 + 2*j. Let a(c) be the first derivative of x(c). What is the first derivative of a(k) wrt k?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11497062 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2303783554932\/27523 - -3411892698884467667\/40759361160. Let r = w - 1282584\/301. Let p = r - -70\/123. Calculate the common denominator of p and 103\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3709 + 6216. Suppose 3*z - s - 260 = -2*y, -945 = -z + 5*y. List the prime factors of z.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-102)\/(-5))\/(6\/(-20)). Let z = -56 - w. Let y(u) = 2*u**2 - 17*u + 8. What are the prime factors of y(z)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 256411 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 10*f**2 - 60*f + 8. What is l(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l - 2*l + 3*l)*(20*l**2 + 19*l**2 - 12*l**2) - 54*l**3 + 23*l**3 - 10*l**3 in the form i*l**3 + r*l**2 + z + y*l and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 5*d**8\/168 + d**5\/3 - 359*d**4\/4 + 2374*d**2. Find the second derivative of n(k) wrt k.\nAnswer: 200*k**3 + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - x + 4. Let g be z(0). Suppose 23*v**g - 5*v**3 + 26*v**4 - 55*v**4 + 3*v**3 = 0. Calculate v.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4055, 8109, 12163, 16217?\nAnswer: 20271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*h + 28, 0 = 4*f + 3*h - 79 - 11. Calculate the remainder when 142 is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**5*x)**(6\/13))**47 assuming x is positive.\nAnswer: x**(1974\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-6)*z**7)\/(z**1)**(-1\/28) assuming z is positive.\nAnswer: z**(57\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125744\/3 - 251485\/6. Factor -11\/2*g + m*g**2 + 0.\nAnswer: g*(g - 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -119, -362, -721, -1184, -1739, -2374, -3077?\n\"Answer: 2*f**3 - 70*f**2 - 47*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -144915 divided by 5?\nAnswer: -28983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40\/9? (a) 4 (b) 1 (c) 4368 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 917 + -912. What is the nearest to -0.01 in r, 1, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -99. Let j = 32 + r. Let t be (-12)\/(-15)*3 - 2. Put t, -3, j in decreasing order.\nAnswer: t, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 13*b - 2. What is a(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {v: 4, e: 2, k: 2, g: 3, y: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14cc4c + a?\nAnswer: 14cc59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-1)\/3)\/((-6)\/(-72)))\/2. Let n be ((-56)\/(-24) + l)\/((-1)\/(-12)). Solve -n*w - 17 = -z, -1 = 2*z + z + w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8329618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 5 - 52*y**3 - 22*y**3 + 15*y**3 - 4.\nAnswer: -59*y**3 - 4*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28\/3 + -13. Which is greater: -4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 divided by 14?\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t**(1\/4)))**(2\/7)*(t*t**1*t*t)**(-40)*(t*t*t**0*t)**(-43)*(t\/t**(1\/3)*t)**1 assuming t is positive.\nAnswer: t**(-12083\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1188) - sqrt(1188))\/(sqrt(3) + (sqrt(90)\/sqrt(3))\/sqrt(10)).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1616 and 154577672?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 727042.7 years in months?\nAnswer: 8724512.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32695 + 32705 + 32710 + v**3 - 98110.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 9)*(-2*y - 2 + 2)*(0 + 0 - 2) to the form o + f*y and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1232907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-11)\/((u*u**(-2\/7)*u)\/u) assuming u is positive.\nAnswer: u**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -110*h**5 + h**4*x + 2*h**3*x - 420*h**2*x - 2*h**2 - 2*h*x wrt h.\nAnswer: -6600*h**2 + 24*h*x + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3795 rounded to one decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1654 - 1660. Which is the smallest value? (a) 5 (b) m (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23772 = -t + i + 19119, 3*t - 4*i = 128674. What is t rounded to the nearest one thousand?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + a + 4. Let k be d(0). Let c(o) = 15 - 2*o - 21 - k*o. Let b(t) = -11*t - 11. Determine 3*b(s) - 5*c(s).\nAnswer: -3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 718 > 718?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 4*o + 11 = 0, -2 = -4*o + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*d + 4 = -36*d - 5*n - 2 - 17, d + 18*n + 56 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + -0.4. Let a = 0.8 - j. Let k = -114088 + 114091. Put 0.1, k, 0, a in decreasing order.\nAnswer: k, a, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 873896 - 873896 + 3877*g.\nAnswer: 3877*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65093563\/400 - -162734. What is the common denominator of k and 107\/120?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*c + 3. Let b(o) be the first derivative of -20 + 7\/2*o**2 + 0*o. Give b(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d - 8. Let m(b) = -3*b**2 - b + 1. Let p(l) = -38*l**2 - 6*l + 6. Let h(i) = 6*m(i) - p(i). What is k(h(n))?\nAnswer: -200*n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*l**2 - 7*l**2 + 12*l**2.\nAnswer: 109*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 801179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 72271.2 decades in centuries?\nAnswer: 7227.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4861.6 to the nearest one hundred.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5887*w + 52880. Determine m(-9).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48765\/1211 or 41?\nAnswer: 48765\/1211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/(-20))\/(3*(-3)\/(-45)). Let v = -10.7 + 11. Sort i, v, 1\/6 in descending order.\nAnswer: v, 1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyvvhy. What is prob of picking 1 y, 1 h, and 2 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 2*g**5\/15 - 2*g**2 - 5. Let q(m) be the second derivative of -m**3\/6 - 15*m. Give q(b(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -9731*a**2 + 31 + 9732*a**2 + 11*a - 9*a as c + p*a + n*a**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.131 - 27.231. Let n = 0.1 + f. Let s = -26.9985 - n. What is s rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4194*x + 1557*x + 1074*x + 1562*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -125979*p - 1133792. Give v(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p = -3*b - 291, 4*b = 2*p - 588. Does 60 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 0 + 0*s**3 + 1\/42*s**7 - 5\/24*s**4 + 0*s**6 + 0*s + 0*s**5 - s**2. What is the second derivative of n(f) wrt f?\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 6 - 3. Let q(n) = -7*n**2 - 1. What is q(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-65.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3389*t - 1. Let d(r) = -13545*r - 5. Calculate 2*d(f) - 9*p(f).\nAnswer: 3411*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:13 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 - 3 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367001071 to the nearest integer?\nAnswer: 19157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2984274 divided by -18\nAnswer: -165793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -14268380, -0.01, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 330 + 1805. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*b**3 - 84*b**3 + 207*b**3 - 68*b**3.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/225 - 2461\/1575. Let u = j - -34\/35. Which is the nearest to -0.3? (a) 5 (b) 2\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 442, -3, 0, 455, 1 in descending order.\nAnswer: 455, 442, 5, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 40, 0.1, -23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/17648 and 77\/18.\nAnswer: 158832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -9*l + 10*l, 0 = g + 5*l - 18. Let y(t) = t**3 + 3*t**2 + t + 2. Let f be y(g). Solve f*d + a = -2, 3*a = 4*d + a - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5456068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-8\/7))**(-29))**(-1) assuming u is positive.\nAnswer: u**(435\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - q - 16, -145*b + 141*b + 4 = -3*q. Suppose -r + 14 = 2*m, 5*m + 13 = r - 22. Solve -b*c - r = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 513 = 64*y - 7*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {t: 3, r: 1, g: 2, b: 10}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 235*w**3 - 305*w**2 - 12*w + 5. Is 11 a factor of o(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/5)\/(y*y*y\/((y*y*y**30\/y)\/y*y)) assuming y is positive.\nAnswer: y**(142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422239 is divided by 145.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -987, -2132, -3287, -4458, -5651, -6872, -8127?\n\"Answer: -o**3 + o**2 - 1141*o + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/2)\/(2\/8). Suppose 0*z - m = -2*z. Calculate the greatest common factor of 6 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1. Suppose 23*i - 28*i = 0. Let r(u) be the third derivative of i + 0*u + 1\/2*u**3 - 4*u**2 - 1\/24*u**4. Calculate 2*q(o) + r(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-95)\/(-75))*10\/(-12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*149.1881.\nAnswer: 14.91881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a = -18*a + 45. Suppose a = 20*m - 15*m. Let l(i) = i**2 - 3*i + 3. Let d be l(3). Solve -m*k - 2 = -d*c - 8, -c = -4*k - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 13*j + 0*j + (-j + 3*j - j)*(1 - 3 + 3))*(-5*j + 2*j + j) in the form k*j**2 + t + s*j and give k.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19770 - 72.\nAnswer: -19842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 - 3*v**2 + 0*v**2 to a*v**2 + q*v + l and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.205 and -821612.\nAnswer: -821613.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*a**3 + 182*a**3 + 154*a**3 + 81*a**3 - 97*a**3.\nAnswer: 432*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 472)\/(-3)*-10500. What is n rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -46, -2080 in increasing order.\nAnswer: -2080, -46, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52203448 by -4.\nAnswer: 13050862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - o**2 + 0*o**2 - 3*o - 2 - o. Suppose -47 + 8 = -13*a. Determine f(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(18)\/(sqrt(9) - (sqrt(36) + sqrt(9))) + sqrt(2) + -5*sqrt(6)\/sqrt(3) + -4.\nAnswer: -9 - 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*i = 19*i + 21 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 8282*h - 66317. Calculate z(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-119))\/((-1660)\/(-340))?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/(10\/15). Let o(m) = -32*m - 1. Is o(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c*d**3*k*t - 2189*c*d**3 + 3*c*d**2*k*t - 2*c*k*t + c*k + 2*c*t + 2*d**3*k*t - d**2 wrt d.\nAnswer: 6*c*k*t - 13134*c + 12*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82188 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162*h**4 - 79828*h**3 - 37995600*h**2 + 3 wrt h.\nAnswer: 3888*h - 478968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - -25 - -4)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*d + 496 = 0, i - 53*d = -51*d + 134. Calculate the highest common divisor of 63 and i.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - f)*(4 - 3 + 1) - 2*f + 2*f - f + 9*f - 25 - 14 + 9.\nAnswer: 6*f - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 48, 76, 106, 138, 172?\n\"Answer: z**2 + 23*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.9 and -1.1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.3*0.1.\nAnswer: -3.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**(2\/5)\/t)))\/t)**(-45)\/(t**(-4\/9)*t)**31 assuming t is positive.\nAnswer: t**(493\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2*b + 2 = 0. Let d be (-3 - 0) + 2 - b. Let f(s) = 0*s - 3*s + 2 - s - 6. Let o(x) = 5*x + 5. Determine d*o(n) - 4*f(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -0.13 (c) 4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g**3 - 4*g**2 + 6*g + 5. Let a(h) = -7*h**3 - 3*h**2 + 5*h + 4. Let l(n) = 6*a(n) - 5*m(n). What is the units digit of l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3 + 116*x**2 + 244*x + 124 = 0. What is x?\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.5 + 12.9. What is the third smallest value in 6, a, -4\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.6577362 hours to weeks.\nAnswer: 0.057486525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 (base 16) in base 15?\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/(1\/(-6)). Suppose -3*l = -5*j + 15, -5*l = 44*j - 40*j + 25. Let a be ((-4)\/6)\/(2 - 0). Put m, a, j in decreasing order.\nAnswer: m, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*q + 625 + 30137. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 2885?\nAnswer: 2887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/474 in 4, -0.5, -566?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 203 - 137 + 5*b**3 - 66 + 6*b.\nAnswer: 5*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036545 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 0 + 0*f**4 + 39*f + 0*f**3 - 31\/20*f**5 - 33\/2*f**2. What is the first derivative of q(r) wrt r?\nAnswer: -93*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -34, 0.2, -67\/2, -25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48 + 11 - (-1 + 5). Calculate the greatest common factor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 74*m. Let k be u(11). Let y = 416 + k. What is y rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g - 1 - 2*g**2 + 0*g + 7*g + 10*g**3. Let k be d(2). Let c = k + -601\/8. Calculate the common denominator of c and 65\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*h = 14, -2*l - 8*h = -7*h + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -9. Let d(x) = 3*x - 6. Let h be d(y). Solve -h*q + 1 + 2 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1842\/1535*15\/(-8).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*a**2 + 6*a**2 + 57*a**2.\nAnswer: 290*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, o: 1, s: 2, m: 1, r: 3}. Give prob of picking 1 o, 1 r, and 1 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*w**2 + 29*w**2 + 4 - 2*w + 5*w - w - w**3 to j*w + p*w**2 + h*w**3 + b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 12*k**2. Let y(v) = 6*v + 5580 + 5636 - 11201. Determine j(y(m)).\nAnswer: 432*m**2 + 2160*m + 2700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**3 + 11*b**2 - 2*b + 121.\nAnswer: 36*b + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 13) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.5091971 hours to weeks.\nAnswer: 0.0804118875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j**2 + j**2)*(2*j**3 - 4 + 4) - 1206*j**5 - 1337*j**5 - 1003*j**5 + 1235*j**5.\nAnswer: -2307*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233*v**2 - 478*v**2 + 932*v**2 - 222*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 10 = -3*b + 4, 2*b = -h. Suppose b*u + 3*u + i - 13 = 0, 4*u - i - 5 = 0. Solve 0 = 3*m - u*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 1 = -15*n, -2*n - 1186*y + 1155*y - 126 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -2, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 145*v - 2 + 1782553*v**2 + 0 - 1782550*v**2 + (0*v - 4*v + 5*v)*(-2*v + v + 0*v).\nAnswer: 2*v**2 + 145*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (516\/15 - 7) + (-2 - (-16)\/10).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -7*r**4\/4 + 26*r**3\/3 + 43*r**2\/2 + 10*r - 87. Factor y(u).\nAnswer: -(u - 5)*(u + 1)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/4 + (-6)\/4. Let u be 12\/(-20)*m*-6. Is -18 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 1.7 (b) 3\/19 (c) -0.1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4789\/5 + 959. What is the common denominator of -59\/252 and z?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -234*f**2 + 235*f**2 - 8 - 7*f - 9. Is a(11) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 + 5 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 11 = 3*c, -29 = 5*n + 4*c + 2. Let w(t) = 5*t - 2. Let q = 5 + -2. Let z(u) = 3 - 2*u + q - 5. Determine n*z(r) - 3*w(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, -2, 3, -17, 2, 645, -1.\nAnswer: -60, -17, -2, -1, 2, 3, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 0, -7*x = -4*m - 3*x + 66948. Suppose m = -6*n + 27*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1863787195 to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128 - -138. What is the second derivative of -k*g**2 + 7*g - 12*g - 15*g + g wrt g?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2582*((-28)\/(-8) + -3). Let u be o - (-4)\/((-12)\/(-3)). Round u to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8864.337ml to litres.\nAnswer: 8.864337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*s - 60 = 0. Let t be (-1)\/(s\/(-6) + -3). Solve -t*p = -2*b + 8, -2*p - b - 2 = -3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -17 (b) -1\/10 (c) 5 (d) -1 (e) 2\/5 (f) 379\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u*u**(5\/3)\/u*u)\/u)*u*u*u\/(u**(2\/3)\/u))\/((u\/u**(-1\/4))\/u**(-7)) assuming u is positive.\nAnswer: u**(-79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -124*w**2 - 250*w wrt w.\nAnswer: -248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 14\/687513?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 - 37. Let t(r) = 35*r**3 - 40*r**2 + r + 17. Let o(z) = -17*z**3 + 20*z**2 - z - 8. Let k(v) = b*o(v) + 6*t(v). Factor k(h).\nAnswer: -(h - 1)**2*(11*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33, 34, 35?\n\"Answer: c + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6 - -13.6. Put s, -2, -4, 5 in ascending order.\nAnswer: -4, -2, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fourty-six fifths of a millennium?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 640 and 64?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2645*h**3 - 550*h**3 - 777*h**3 - 1317*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5282440 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*k + 182 - 660 - 282 = 0. Suppose i = -2*m + 15, -3*m = -i + 1 - 6. Let b = i - 4. Sort 1, b, k in descending order.\nAnswer: k, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 31*t - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 12010021200?\nAnswer: 12010021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21637534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*z)*(-4*z**4 + 2*z**4 + 0*z**4) - 2*z**5 + 4*z**5 + z**5 + 708*z + 15*z**5 - 708*z.\nAnswer: 22*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27203\/16 - 1695. Find the common denominator of j and -1\/9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/10 + z**4\/4 + 3*z**3\/2 + 19*z**2. List the prime factors of v(4).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 57\/5 of a microgram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 + -1110?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 291, 1\/3, 0.39, -2, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -261, -1357, -3187, -5751, -9049, -13081?\nAnswer: -17847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.981 - -0.019. What is the nearest to -0.04 in -2\/7, 1, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120000200 (base 3) in base 15?\nAnswer: -33a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-3) - (-2)\/(-1). Suppose -78 = -2*p + f*g, 0*p + g = p - 37. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Let u be (-2)\/2 - (-1 - y). Suppose -4*t + 91 + 85 = u. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -8*t + 13. Put -4, -1, t, 3 in ascending order.\nAnswer: t, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00721860013 rounded to seven decimal places?\nAnswer: 0.0072186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = x - 2*p - 8, -5*x = -5*p - 25. Let c(o) = -2*o**2 - 17*o - 19. Let g be c(-7). Let m be (0 + -1)*g*x. What is m rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 2)*(-1 + 5 - 3)*(0*j**2 + 0*j**2 + 2*j**3).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -33)\/(1947\/(-1298))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(24\/9)*8\/54\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 1. Suppose 0*w = -w, -3*s + w = -63. Let c be ((-18)\/s)\/(6\/(-28)). Let o = c + -6. Give k(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 7 + 3 = -5*t, 3*b = 4*t + 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3452 - 1574. Let t = p + -41301\/22. Find the common denominator of t and (-26)\/204*(-9 - 0).\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 586214, 1172426, 1758638, 2344850, 2931062?\n\"Answer: 586212*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 22*d**2 + 20*d + 40. Let x be c(-23). Factor 25*s - x*s**2 + 130*s**2 - 18 + 8*s.\nAnswer: 3*(s + 2)*(7*s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 78.\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 20143020 to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.479 - -9.479. Let o = 22 + -28. Put k, -0.3, o in decreasing order.\nAnswer: k, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:53 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.4858 grams in tonnes?\nAnswer: 0.0006704858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yufrrfvyyr. Give prob of picking 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -685 - -1206. What are the prime factors of m?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*h**2 + 8*h**2 + 7*h**2 - 102*h - 24*h**2 + 3*h**2 to the form z*h + l*h**2 + b and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a4c5 (base 13) in base 15?\nAnswer: 85376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 10:39 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*u**2 + 844*b**3*u - 3*b**3 - 41341*b**2*u**2 - 2*b*u**2 - u**2 - 2039 wrt u?\nAnswer: -2*b**3 - 82682*b**2 - 4*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 minus 2309.0743154?\nAnswer: -2308.9143154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6486734, 12973472, 19460210?\nAnswer: 25946948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 4, e: 1, k: 2, v: 1}. Give prob of sequence es.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 45389356\nAnswer: 15\/22694678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13392.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.133, -1\/89, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*n - 29, 4*d + 26 = 2*d + 4*n. Let q = 6 + d. Suppose 4*h + 2*z - 9 = -1, 0 = h - 5*z - 24. Solve t - 8 = -3*t - h*o, o = q*t + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 - 13.04. Let z = -1 + p. Let i = 14.4 + z. What is the second biggest value in 3, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 440\/(-240) + 5\/(-6).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 + 185 = 8*x. What is the least common multiple of x and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13140 is divided by 1023.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4318129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, p: 14}. What is prob of picking 1 o and 3 p?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 13) to base 3.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1260 + -172?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*p = -7*j - 110*p + 50*p - 3, -6*j - 3*p + 21 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, l: 1, u: 10, r: 4, o: 1}. Give prob of sequence ouu.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*k - 2)*(-171 - 926 - 635 + 97 - 528).\nAnswer: -6489*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**2 - 2*g**2 + 2*g**2. Let o = 0 - 0. Let x(k) = o*k + k + 0*k. Give x(p(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 287*v - 2795 + 193 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1086.2 + 108.\nAnswer: 1194.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.001*357.\nAnswer: -0.357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.4. Let b = 3 + 0. Suppose -13 = 5*g - 3*k + 6*k, -b*k = 2*g - 2. What is the biggest value in -0.5, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12))\/(-6 - (14059\/(-2346) - 0))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + -5 + (13 + -16 - -10 - 27).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61871 - -3712357\/60. What is the common denominator of z and 76\/375?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/(-36) - 4)*((-3)\/30)\/(16\/768)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0)*46\/23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6735 divided by 449\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5997218 to the nearest 10000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1369 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -5660 + 2033. Suppose 28 = 3*m + o. Are -125 and m equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52107*o - 33685*o + 190694*o.\nAnswer: 209116*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + 1. Let r = 1333 - 1328. Which is the third smallest value? (a) r (b) u (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*l - 109 = 4, 0 = 4*b + 2*l - 118. Solve b*g - 25 = 31*g + 5*u, -g - 25 = 5*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*k - 100*k = 87 + 69 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + -1.94. Let o = -28 + 40. Let q = -7 + o. What is the second smallest value in q, 3\/5, w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9961*d*g**3 + 24*d*g - 77*d - 68*g**3 - 2*g - 143 wrt g?\nAnswer: -59766*d*g - 408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**3 - 34*y**3 + 13*y**3 + 6*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -541b (base 16) to base 15.\nAnswer: -65a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*d + 896 = 90*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 9 - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3084340 (base 9) to base 10\nAnswer: 1650006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, a: 2, d: 8}. What is prob of sequence eae?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 422\/(-16) + (-308)\/(-28) + (-340)\/32?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -50 (base 8) to base 16\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -581, -1\/9, 23, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(5*sqrt(8)\/sqrt(2)).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 5565?\nAnswer: -5572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.4 and 69.\nAnswer: 165.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4827 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-10)*30\/(-9). Suppose t*k + 3*u - 35 = -2*u, 25 = 4*k + 3*u. Solve -9 = -s + k*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 3*c - 7. Let k be l(5). Let n(v) = v**2 + 12*v + 34. Let i be n(-8). Let -3*p**i + 2*p - k*p**2 + p + 3*p**2 - 3*p**3 + 3*p**4 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 226 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 54*o - 1383. Let f be u(19). Let g(h) be the first derivative of 7 + 19\/3*h**3 - f*h**2 + 0*h. What is the second derivative of g(y) wrt y?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**2 + 6*v + 2. Let r be g(-4). Suppose 584 - r = 6*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2309, 2286, 2249, 2198, 2133, 2054, 1961?\nAnswer: 1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 33. Suppose 0 = -4*m + 6 + 6. What is the second derivative of 5*t - k*t**5 - 2*t**5 + 3*t**5 - m*t wrt t?\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - l + 1. Let y be s(1). Which is bigger: -2\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 12*j - 11*j - 2*g, -25 = 5*g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4649, 9285, 13921, 18557?\n\"Answer: 4636*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1726768 to the nearest integer?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*i - 122*i - 75144 = 133*i. Let c(x) = x**2 + 3. Let q be c(-3). What is the greatest common factor of i and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -53. Let v = t - -36.1. Which is the nearest to 1? (a) v (b) 0.04 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 0 + 11\/2*w**2 + 16*w - w**3. Differentiate o(q) with respect to q.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**4\/12 + x**2 + 5*x. Let o(c) be the first derivative of h(c). Let i(s) = 3*s**2. What is o(i(v))?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 8:39 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1197*a**2 + 8*a + 31. Let x be t(5). Let l be (-4)\/18 + 6\/27. Suppose u - 3*g - 29994 = l, u - g - x = g. Round u to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34556782*i**3 + 8687*i - 3075?\nAnswer: 207340692*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 110, 212, 384, 650, 1034, 1560, 2252?\nAnswer: 3134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2\/m*m*m**(6\/5)*(m*m**(-1))**(-3\/11))**(-3\/34))**(12\/5) assuming m is positive.\nAnswer: m**(-288\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 10*r - 14. Let l(k) = 3*k - 5. Let i(h) = -7*l(h) + 2*o(h). Let z be i(6). Solve j - z = 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4400\/308)\/50)\/(-2 + (-4944)\/(-2478))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5\/6 (b) 0 (c) -5 (d) -3 (e) 5\/3 (f) 19266\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271625646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14471 - -14413. Is 26 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-10 - -4) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 i when three letters picked without replacement from injj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 5*m**2 - 9. What is the remainder when 24 is divided by s(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -17)\/((-392)\/42)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 + 173*s - 173*s.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15 + 960\/72)*(-2)\/(-30). Let d be -1 + 27\/33 + 0. Which is the closest to y? (a) 1 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33453112.\nAnswer: 2, 7, 11, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -1901486355459?\nAnswer: 1901486355455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 8. Suppose 3*l - w*l = 8. Suppose 5*y - 4*c - 6 = 13, -14 = -5*y - c. Let i(x) = -2*x + 2. Let n(u) = -u + 1. Calculate l*i(z) + y*n(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 124426*c**2 + 1347*c + 1348. Is n(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88373220 by 4.\nAnswer: 22093305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 24 = -13*c. Calculate the remainder when 35 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -9. Let b = f - 30. Let i = 1 - b. Calculate the remainder when 42 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 269*u**4 - 47*u**4 - 31*u**2 + 1 - 17*u**2 wrt u.\nAnswer: 5328*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g + 5. Let i be y(2). Let l be (-3)\/(-9)*((-108)\/(-111) + -1). Which is bigger: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 - 3 - 2*z + 6*z**3 - 5*z**3 - z. Determine h(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**4 - 4*q**3 - 4*q**2 + 4*q = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -2, -5 in descending order.\nAnswer: 3, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**6\/75 + 151*x**5\/150 + 2381*x**4\/90 + 3787*x**3\/15 + 1176*x**2\/5 - 2816*x. Determine g, given that t(g) = 0.\nAnswer: -21, -8, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*w - 5*n, -4*w + 0*w + 8 = -4*n. Let m(t) = 5*t - t + w*t. Let y(k) = 2*k. Calculate y(m(z)).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-9) + 4\/18. Let r(n) = -7*n**3 - 4 + n + n - p - 2*n**2 + 4. Give r(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/13? (a) -0.2 (b) 2\/9 (c) -15 (d) 3 (e) -1312 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245*m**4 + 4 - 246*m**4 - 2*m**2 + 6*m**5 - 1 + 0*m**2 wrt m.\nAnswer: 360*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 1 + -12 + 2724 + -2729\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1304022, 1304030, 1304040, 1304052?\n\"Answer: j**2 + 5*j + 1304016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, r: 3}. What is prob of sequence rrr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -13*t**2 + 5*t - 5. Let h = 1294 - 1299. Let f(g) be the third derivative of -g**5\/3 + g**4\/3 - 4*g**3\/3 + g**2. Determine h*f(i) + 8*s(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/25 + (-3 - (-112)\/(-40))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 12*r**2 - 21*r + 6. Let a be p(10). Put -3, a, 4 in decreasing order.\nAnswer: 4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*i - 2*i - 20 = 0, -i = -5*d + 22. Solve 0 = d*s - c - 8, -5*c = 4*s - 4 - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from axxxzazzaxzazzz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1316 (base 8) to base 2.\nAnswer: -1011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1140 + 0*o + 569 + 6*o + 577. Let b(x) = 6*x + 6 + 0 - 1. Calculate -6*b(u) + 5*v(u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -5, -0.2, 5\/19, -3?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from mmrrrrryyrrrrn?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 3 + 5*j + 10.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4315 - 2135 - 2180 + 45009*v in the form i + c*v and give c.\nAnswer: 45009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 + 2*t**2 - 2*t**2 + 2 + 2*t**2 - 2 + (18*t + 13*t - 7*t)*(-5 + 5 + 12*t) - t**2 + 5*t**2 - t**2 + (t**2 - 2*t**2 + 2*t**2)*(-5 + 3 + 3).\nAnswer: 295*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11011110000000110010 (base 2) to base 5\nAnswer: 213044422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26 and 2015.\nAnswer: 4030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5299 + -11)*(-6)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005413 rounded to 5 decimal places?\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3822 and 2058?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/5 + 1299*z**3 - 1363181*z**2\/5 + 5368329*z\/5 - 4011642\/5 = 0. Calculate z.\nAnswer: 1, 3, 213, 6278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 + 128 = 7*h. What is the remainder when 123 is divided by h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-27 + 0 + -3) - -15?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310972 is divided by 53?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179 - 175. Suppose 3019 = 5*q - 3*b, 5*b - 1463 = -a*q + 930. What are the prime factors of q?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 16120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**5\/60 - r**4\/4 - r**3\/6 + r**2\/2 - 2*r. Let b(z) be the first derivative of o(z). Calculate b(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 - 5*f**2 + 2*f + 0*f**2)*(-356*f**3 + 233*f**3 - 120*f**3).\nAnswer: 243*f**5 - 486*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4753006 to the nearest integer?\nAnswer: 2180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*25\/(-80)*(-4)\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*y + 119 = 5*t, -3*t - y = -71. What is the greatest common factor of t and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 4 - 16. Suppose -2*s = x*s. Suppose 0 = 3*g + 5*j - 108, s = 2*j - 8 + 2. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z - 2. Let c be r(2). What is the hundreds digit of (-7 - -12 - 1073)\/(c\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8 + -3.8. Let x(d) = d**3 + 2*d**2 - 3*d - 4. Let g be x(-3). Let o be (2\/12)\/(g\/6). Which is the nearest to o? (a) 2\/3 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4188 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 600, 610, 612, 600, 568, 510?\n\"Answer: -r**3 + 2*r**2 + 11*r + 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 144, 322, 574?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.097 + -0.103. What is the nearest to 1 in 5, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**5\/2 + 5*m**4 - 3*m**3\/2 - 14*m**2 + 10*m = 0.\nAnswer: -10, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/l**(-2\/5)))**29)**(2\/9) assuming l is positive.\nAnswer: l**(-116\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 12:07 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - 2*v - 66, 2*v - 74 = -o. Solve o - 20 = -10*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 1, 17, -700, 3 in decreasing order.\nAnswer: 17, 6, 3, 1, -5, -700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4720 and 1280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.3004 and 20452.\nAnswer: 20445.6996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 + 0.8. Let n = g + -1. Which is the closest to 1? (a) -2\/7 (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-6) - 2\/(-6). Let p(d) = -d**2 + 5*d - 2. Let z be p(t). Let y = z + 16. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -3, 0, 4, 22, 1, 31 in increasing order.\nAnswer: -3, 0, 1, 4, 22, 31, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -92\/3*o**3 - 8\/5*o**5 + 0*o + 0*o**2 + 5 + 0*o**4. What is the third derivative of u(q) wrt q?\nAnswer: -192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y**2 - 55*y**2 + 22*y**2 + 41*y**2.\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 880 = w. Suppose 5*n + h = w, 6*h - h = -2*n + 375. Let g = n + -22. Calculate the remainder when g is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 720*w - 6723.\nAnswer: 3*(w - 9)*(w + 249)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -12*h + 28. Let x be y(4). Let m = 1527 + -1543. Which is greater: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and -0.04.\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2518105 or -2518106?\nAnswer: -2518105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/4*2\/(-110)*22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -375 divided by -25\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 2. Let q be m(-2). Let v(z) = -z**3 - 29*z**2 + 31*z + 40. Let s be v(-30). Suppose -8*p + 10*p - 4*a = 18, 0 = -2*a - s. Sort 0, 4, p, q.\nAnswer: p, 0, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -461 + 459. Does 73 divide 5\/z - 152490\/(-260)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31602500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 b when four letters picked without replacement from trubarbaaraba.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 50, 3, 0.276, -4 in decreasing order.\nAnswer: 50, 3, 2, 0.276, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0623429 and 2.\nAnswer: 2.0623429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2107.049 - 2108. Let w = 0.15 - 0.101. Let t = z - w. What is the nearest to -0.2 in 1\/16, t, 1?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-4\/11))**45 assuming n is positive.\nAnswer: n**(675\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7570, 10768, 13964, 17158?\n\"Answer: -w**2 + 3201*w + 4370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-759)*2*3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x. Suppose 0 = 4*w - 2*h + 88, x = w + w + 3*h + 36. Let v be 2\/4*(-12)\/w. Does -1\/6 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187 (base 14) to base 10\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -a**2 + 50*a - 50*a + 36 - 7. Let v(x) = -22*x. Calculate m(v(q)).\nAnswer: 44*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1022\/(-56) - -10 - -3*(-24)\/(-9)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Suppose x = 3*f - 5*f + 6. Suppose 5*d - 18 = -f*g, 7*g - 2*d + 2 = 3*g. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(24\/14 - 2). Let z be (6\/(-4))\/((-12)\/(-16)). Let l = z + 0. Which is the closest to 0.2? (a) m (b) 0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxdudxyzhuhx. Give prob of sequence dx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(1*sqrt(2)))\/sqrt(10)*-5 + (sqrt(2) + (sqrt(4) - sqrt(36)\/sqrt(9))\/sqrt(2) + sqrt(2) + 3 + sqrt(2)*4)**2.\nAnswer: 31*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1965 is divided by 655.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.877 - 0.123. Which is the biggest value? (a) m (b) -1 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/4 + (-6)\/4 + 2. Let c(g) be the first derivative of g**3\/3 - g**2 - 12*g + 4. Let m be c(o). Solve 8 = 4*f - m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6709039?\nAnswer: 331, 20269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.411, 11, 39, -1\/3 in ascending order.\nAnswer: -2.411, -1\/3, 11, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/10)*w**17 assuming w is positive.\nAnswer: w**(167\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14285833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20348 - 6259. Is s a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 + 5301475750\nAnswer: 5301475750.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 17*q**2 - 17*q + 14. Determine s(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 12 (b) -0.5 (c) 5\/3266 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 12*u + 4. Let q be f(-4). Let h = q + 80. Let s = 59 - h. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288013 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 10 = 1050. Suppose 7*i = -25 + 151. What is the least common multiple of h and i?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132*j**4*m*u + 2*j**3*u - 2*j**2*m + 2*j*m*u - 3*j*m + j*u - m wrt j?\nAnswer: 1584*j**2*m*u + 12*j*u - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24245 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o + 24. Determine m(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*v - 630*v + 24*v**2 + 316*v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2 + -5 + (-4 + sqrt(539)*-3)*4))**2.\nAnswer: 96600*sqrt(11) + 1953625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31*j**2 - 3 - 8 + 18 + 23 wrt j.\nAnswer: 62*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-16)*(-16)\/64\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/((v\/(v\/(v**(-2\/7)*v)*v))\/v))\/(v*(v*v\/v**0)\/v*v*v**(-1\/3)*v)*((v*((v\/(v\/(v**7*v)*v))\/v)\/v)\/v*v*v**(-4\/7))**(2\/45) assuming v is positive.\nAnswer: v**(-1304\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = t + 18, 12 = -148*t + 143*t + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -67 + 23 - (-1 + 24).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 387626*t**3 - t + 387621*t**3 + 0*t - 775246*t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 0\/1) + 38 + -35. Let o(v) = 1 + 2*v**2 + v**2 - s. Let i(x) = -2*x**2 + 2. Suppose y = 2*d + 2, -10 = 5*d - 0. Give y*o(t) - 5*i(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) -2 (b) 3029383 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 6*i - 7. Suppose -3*y = -0*y - 2*j - 7, y + 3*j - 6 = 0. Suppose 2*m = y*m - 7. Let t be d(m). Put 3, 2, t in ascending order.\nAnswer: t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*p**2 + 241*p**2 - 125*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*((l\/(l\/(l*(l*l*l\/l**(2\/5)*l)\/l)))\/l)\/l*l*l))**(-2\/11)*l**(-2\/49)*l**(-11)\/l)**(-4) assuming l is positive.\nAnswer: l**(120784\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12388051 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 1 - 4*45\/10. Let r = x + 20. Solve -6 = -r*i - 3*m, -2*i + 5*m - 3 = -0*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35538 - 35528. Suppose -5*q + 132 = -38. Calculate the remainder when q is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1270.2 and 0.012641?\nAnswer: 1270.187359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -42302*w - 211497. What is v(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**5 + 3*w**5 + 0*w**5)*(9 - 3 + 6 + (2 + 1 - 1)*(3 + 2 - 4) + 1 - 2 + 0).\nAnswer: -26*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 82 + -2?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 181, 625, 1357, 2383, 3709?\n\"Answer: c**3 + 138*c**2 + 23*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7*n - 21. Let r(k) = 4*k - 10. Determine -3*q(o) + 5*r(o).\nAnswer: -o + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61150297?\nAnswer: 13, 67, 70207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 6. Let q(z) = 9*z - 30. Let f(c) = 11*m(c) - 2*q(c). What is the derivative of f(p) wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2) - 843\/(-180). Let v = y - 1\/60. Are v and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 25*v = 22*v - 7, -20 = 9*b - 5*v + 59 + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 14. Let b = -8 - -4. Let x = a - b. Which is smaller: -1\/2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3571 divided by 873?\nAnswer: -3571\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 6 = -3*p + 4*b, -5*b = 3*p - 15. What is the closest to p in 2\/5, 2\/3, 7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178 divided by 89.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 95 = -5*g, 0 = 2*f + f - 3*g - 33. Calculate the greatest common factor of 288 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12590 - 11350 - 111*g**2 - 71*g**2.\nAnswer: -182*g**2 + 1240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 2. Let q be (-1 + 2)\/((-3)\/(-6)). Let l be a(q). Find g such that -16*g + 0 - l*g**2 - 3 - 9 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 + 3*f**2 + 4*f - 16. Calculate the smallest common multiple of q(3) and 143.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 + 2 - -6 - 12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8*s + 160. Let w be 4\/((-4)\/s*-2). What is the greatest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t - 7. Suppose 9 = 2*z + 1. Let u be (0 + (z - 4))*-1. Calculate w(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/7 - (-54)\/21. Solve 13*h - q*h = -33 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -68441\nAnswer: -3\/68441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232 by -3509.\nAnswer: -8\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2811, 2828, 2845, 2862?\nAnswer: 2879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-36819)\/(-9) - (-4 + 4))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30304, -30306, -30308, -30310, -30312?\nAnswer: -30314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.21 - -2.21. Which is the third biggest value? (a) 0 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55666.9t in nanograms?\nAnswer: 55666900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2170637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 145 = 3*c, -y - 19 = -2*c - 125. Is 1\/2 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116012133 divided by -38670711\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (9 - (8 + 8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -6. Let v = 4 - x. Let j(w) = w + v*w - 10*w - 7*w. What is j(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 10212?\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 273164254 to the power of 1\/2, to the nearest integer?\nAnswer: 16528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49751 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-78)\/(-5512)*136\/(-51). Which is the nearest to -9? (a) -1\/4 (b) 1\/13 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*s = -13*s + 6641 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(1\/5)*n)\/n)\/n*n*n*n\/(n**(-7)*n))\/(n**(-4\/7)*n*n**(-7)))**(-37) assuming n is positive.\nAnswer: n**(-19906\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 767 = z, 3*d - 1 = -10. Does z = 772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - (3 - (-1 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 - -171. Calculate the remainder when 1 + 0 + g\/5 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6 = 124*b - 120*b, -2*a - 6 = -b. Let v = -2 + 4. Let k = v + -2.1. What is the third smallest value in k, b, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/7)\/s)**(-2\/127) assuming s is positive.\nAnswer: s**(-4\/889)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 426089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -31 times 10\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 985544\/5 - 196365. Let l = q + -747. Let r be 4\/14 + (-18)\/14. What is the closest to l in r, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f - c + 1 = 0, -3*f + 2*c + 3 = 0. Suppose -68 = -5*d - 2*m + 12, 65 = 5*d + 5*m. Is 354\/d*(2 - f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 5:40 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5 - 3432*l**4 + 246702*l**3 - 239844*l**2 - 246705*l + 243276 = 0.\nAnswer: -1, 1, 76, 1067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -322 + 299. Which is the nearest to -2\/3? (a) -3\/5 (b) -3 (c) o (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/204 and 125\/408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {n: 1, v: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 2:59 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 39, 2 in descending order.\nAnswer: 39, 12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68\/179 - 65360\/537. Let r = 120 + m. Are -1 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -10*d - 10. Let p(r) be the third derivative of -r**4\/12 - r**3\/3 - 3*r**2 - 2*r. Calculate -11*p(k) + 2*x(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3)*(1 + 2). Suppose -316*l + 3 = -315*l. Sort 5, l, -4, i in descending order.\nAnswer: 5, l, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 794789 to the power of 1\/2, to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1844, -5 in decreasing order.\nAnswer: 0, -5, -1844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 470 = -2*v, -5*v + 15*a + 1175 = 14*a. List the prime factors of v.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 366 - 188. Let k = s - 282. Let q = k - -302. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-108198)\/24)\/(-3) + -2*(-12)\/(-32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 - 10*l**2 - 16*l + 20. What are the prime factors of u(9)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 135ed83 - 3?\nAnswer: 135ed80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 25211?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5 - 3562*t**4 - 49542*t**3 - 116398*t**2 + 395680*t - 226176 = 0.\nAnswer: -1767, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u. Let o(p) = -4*p**2 + 3. Let c(s) = 2*s + 5*s**2 - 1 - 4*s**2 - 2*s. Let d = -3 + 2. Let y(w) = d*o(w) - 3*c(w). Determine j(y(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 3.02. Let n = -0.42 + m. Which is the third biggest value? (a) 0.4 (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7213\/45 - -802\/5. Let a(i) be the first derivative of -1\/27*i**3 + 3 + j*i + 1\/18*i**2 - 1\/36*i**4. Suppose a(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36053 + 136*g**2 + 121*g**2 - 36053 - 10*g**3 - 2*g**3.\nAnswer: -12*g**3 + 257*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 6 - 2. Suppose 0 = v*x - 3*j - 19, 2*j = -2*x - 2*x - 2. Suppose 138 = 5*n - x. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -925.79198 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 762 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 224026 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**5\/600 + 157*y**4\/30 + 98596*y**3\/15 + 4322*y**2. Find g such that d(g) = 0.\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4824751 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(-5 + 11 - 2)*(0*g**5 + g**5 - 2*g**5).\nAnswer: 4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 286464713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3 - 1 + 2*k - k**2 + 0. Let x(c) = -c - 2 + 6*c - 3*c**2 + 6. Let y(o) = -5*b(o) + 2*x(o). What is the first derivative of y(r) wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -796*p - 1352 = -692*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.896 + 3.996. Put -0.6, -0.06, s in descending order.\nAnswer: s, -0.06, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + j + 4. Let w be o(0). Solve w*p - 3 = p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2))\/(6\/(-8)). What is the tens digit of (-10)\/(-25)*39\/g*5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29893 + 18*j**3 - 29893.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/7*(-91)\/(-26). Suppose -l*p + 5*q + 84 = q, -3*p + 91 = q. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 142c514 + -5?\nAnswer: 142c50e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + u**2 - 2)*(u + u - u) + 3*u**3 + u**3 - 2*u**3)*(0 + 9 + 8)*(-3 + 0 + 5).\nAnswer: 102*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285, 585, 873, 1143, 1389?\nAnswer: 1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 6*c**2 + 6*c - 3. Let q(l) = -l**3 - 5*l**2 - 6*l - 3. Let p be q(-4). Let y be k(p). What are the prime factors of (9\/((-18)\/(-100)))\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2188\/(-14) + (1 - (-25)\/(-35)). Let d = s + 161. Which is the closest to -0.14? (a) d (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**3 + 380*s**2 + 372*s**2 - 1132*s**2 + 380*s**2 - 3 + 3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 351 - 7. Let k = f + -94. What is the common denominator of (-1 - (-1)\/k)\/(3\/52) and -31\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*k**3 + 39*k**3 - 73*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**3 - 4*q**3 - q**5 + (-4*q**3 + 2*q**3 + 0*q**3)*(484*q - 629*q - 19*q**2 + 16*q**2).\nAnswer: 5*q**5 + 290*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 106 = -q. Let x be (0 + 4)*q\/(-3). Let a = x + -51. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28760281 by 1513699.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 1967*g**3 - 1249*g**2 + 2. Let t(h) = -5899*h**3 + 3744*h**2 - 7. Let q(n) = 7*o(n) + 2*t(n). What is the third derivative of q(v) wrt v?\nAnswer: 11826","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32258a4 (base 12) in base 6?\nAnswer: -535433524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -145 - -159. Calculate the remainder when 18 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1039038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/5 + 93*z\/5 + 918\/5.\nAnswer: -(z - 102)*(z + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4 = 4*p + 14, 14 = 4*m - 5*p. Let x be 0 + 30\/m + -18. Suppose 0 = s - 0*s + 15. Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223584 (base 10) in base 14?\nAnswer: 23bcac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 258\/10 + (-2)\/(-10). Let k be ((-1)\/(-1) - 49\/(784\/64)) + 7. Solve -k*b - 10 = -r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/5))\/(t**(-2\/17)*t))\/(t**(1\/2))**9*(t**(-1))**(-26)\/((t\/(t*t**(1\/6)))\/t**5) assuming t is positive.\nAnswer: t**(6728\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 5*y**8\/336 - 25*y**7\/42 + 49*y**6\/6 - 163*y**5\/3 + 580*y**4\/3 - 1120*y**3\/3 - 2*y**2 - 6. Find f such that w(f) = 0.\nAnswer: 1, 2, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 7788.\nAnswer: -1\/2596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*k + 173, 2 = -2*z + 8. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + 65 + (1 + 1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -352.42 - -4.\nAnswer: -348.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23625 = 2269*k - 1394*k for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6497 + 6499. Which is the second biggest value? (a) 0.4 (b) -0.5 (c) g (d) 1\/4 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-48) - ((-1)\/6 + -4). Let y be (9\/(-9))\/((0 + h)\/(-212)). What is the highest common factor of 53 and y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, w: 1, i: 2, s: 4}. Give prob of picking 1 w, 1 s, and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 15. Suppose k = 4*d - 5. Calculate the remainder when 13 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 10*v = 3*i - 11300, -8462 = -3*v + i. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 13) to base 3.\nAnswer: -21220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77\/3 - 217\/6. What is the common denominator of j and -107\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h - 52 = -122. What is the smallest value in -11, -0.045, h?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -1)\/((-1)\/(-1)). Suppose v = -h - 3*h. Suppose -2*j - j + p + 22 = 0, -j - 3*p + 4 = h. What is the remainder when j is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113149 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + 0.2. Let r = 5.321 + -34.321. Is n bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -14. Which is the smallest value? (a) -1.2 (b) q (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + -13. Let l = c - -10. Let x(h) = -h + 3. What are the prime factors of x(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(105\/33) - (-16)\/(448\/(-12)). Put 0.4, 5, k, -0.41 in decreasing order.\nAnswer: 5, 0.4, -0.41, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, j: 4, k: 1, g: 1, h: 1}. Give prob of picking 1 m and 1 j.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-598)\/(644\/(-14)))\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24959 is divided by 156?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x + 2. Solve 0 = x*a + 4*k - 4, 3*a + a = -4*k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 1:21 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = -9. Does 6 divide -3 + 17 + 2 + j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - u - 2, -1 + 17 = 4*t - 3*u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14900 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1054*z**2 - 49 - 17*z - 3166*z**2 + 1051*z**2 + 1060*z**2 to the form h*z**2 + n + f*z and give n.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130492, -260936, -391380, -521824, -652268, -782712?\nAnswer: -913156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -166, -5, -16 in decreasing order.\nAnswer: -5, -16, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 136013, 14 in ascending order.\nAnswer: -3, 14, 136013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t\/t**(-1)))\/t**(-1\/5))**50 assuming t is positive.\nAnswer: t**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10609000 rounded to the nearest one hundred thousand?\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 0*u + 35. What is the greatest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12 - 2*r**2 - 7 + 3*r**2 wrt r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -24, 5, 2, 4 in increasing order.\nAnswer: -24, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjzqzqoboqqobztj. What is prob of sequence zbj?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 464 + -463.6985. Let d = 0.05 - -0.25. Let r = d - l. Round r to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 11*s**2 + 16*s + 2. Calculate f(6).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8076.65 millilitres to litres.\nAnswer: 8.07665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-1113)\/(-14))\/(3\/(-4)))\/(-1). Suppose 128 = 4*t - 4*h, -h - o = -3*t - 0*h. What is the remainder when t is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y*y**(-2)*y)\/y))\/y)\/y**(-8))\/(y\/(y*y**(-2\/5)*y))**(-4\/3) assuming y is positive.\nAnswer: y**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 5) + (16 - 1 - 0) - (75 + 11)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-96)\/(-80)*(-45)\/(-2) and 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvww. What is prob of picking 2 w and 2 v?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/11 + 200*k**2\/11 - 2432*k.\nAnswer: 2*k*(k - 76)*(k + 176)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*i - 95*i + 4*i**4 - 3*i**4 + i**4 + 3*i**4 + (2*i + 3*i - 2*i)*(-1 + 1 + 2*i)*(i**2 - i + i) as m*i + j + t*i**3 + u*i**2 + w*i**4 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5151.509ml?\nAnswer: 5.151509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65246*a**3 + 141*a**2 + 101301837*a wrt a?\nAnswer: -391476*a + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 4. Suppose 6*a = a + g + 99, 2*a + 5*g - 45 = n. Calculate the smallest common multiple of a and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 2. Let s(v) = 3*v**2. Calculate j(s(n)).\nAnswer: -3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2. Let k = -151 - -156. Let c(r) = -5*r + r + k*r. Determine c(w(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3 - 3)*(-q**3 - 1 + 1) + (-203 - 216*q**2 + 203)*(q + 2*q**2 - q + (1 + 4 - 3)*(-3*q + q**2 + 3*q) - 4*q**2 + 2*q**2 + 8*q**2).\nAnswer: -2159*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.7 and 1.\nAnswer: 15.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, -28, -80, -158, -262, -392?\n\"Answer: -13*s**2 + 13*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/4 + 77*a\/2 - 222.\nAnswer: -(a - 148)*(a - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2199\/2 - -1062. Find the common denominator of d and 1\/1 + (-64)\/(-18).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v. Let x(b) = 27*b + 1. What is x(j(a))?\nAnswer: 54*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4534282 to the nearest integer?\nAnswer: 2129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/60 + p**4\/8 + 4*p**3\/3 + 2*p**2. Let g be c(6). Is (3\/(-3))\/(1\/g) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(396)\/sqrt(539))\/sqrt(12)*6 + (sqrt(30)*-2*2)\/(sqrt(20)\/sqrt(2)*1).\nAnswer: -22*sqrt(3)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -11 - (91 - 97)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8670 = 7*z + 2244. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1408302 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 4*i**2 - 31*i - 7*i**2 - 12. Let l(c) = 17*c**2 + 63*c + 24. Let m(a) = 6*l(a) + 13*s(a). Let w be m(-12). Solve 2*j + w*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, q: 3, o: 3, f: 2, n: 1}. What is prob of picking 1 f, 2 d, and 1 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*u + 10 = -394*u - 5*r, 2*u - 28 = -4*r for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/4)\/4 - -360. Let y = w - 354. Let d = 3 + -1. Solve s - d*l + y = -s, -2*s - 8 = -l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 75, -4.\nAnswer: -4, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1065?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1712 + 1748 + -11 + 1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/9))**(-3\/8)\/(d**(3\/7)*d**2))**(-33) assuming d is positive.\nAnswer: d**(2321\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000315852517 rounded to 6 decimal places?\nAnswer: -0.000316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-3 + 31 - 26)) + -2 + 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 336332*r. Let h(b) = -2*b**2. Give h(j(y)).\nAnswer: -226238428448*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 860.2 less than -993014?\nAnswer: -993874.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448602 is divided by 8972.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*k + 3. Let u = -203\/4 + 51. Put -10\/11, u, k in descending order.\nAnswer: k, u, -10\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3149 and 5494.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 120 = 76. Let l = 52 - u. Suppose 0 = -2*d + q + 4*q + 401, -l*d = 4*q - 613. List the prime factors of d.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 - 7*z - 19. Let c(i) = -i**2 - 2*i - 6. Determine -7*c(q) + 2*u(q).\nAnswer: 3*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 347342 + -2 + ((-1)\/(-2))\/((-18)\/(-108)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-35)*15\/(-6). Let q(v) = -v - 1. Let m(t) = -t + 3*t + 0*t + 6. Let b be m(-4). Let w(o) = 1. Calculate b*w(p) + y*q(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 10. Suppose -2*d + 2*a = -0*a + 2, -25 = -x*a. Solve 5*g - d = 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 2*f**2 - f + 8. Let v(c) = -2*c**3 - 5*c**2 - c + 15. Let q(z) = -5*l(z) + 3*v(z). Suppose 2*p + 2*p = n - 18, 2*n = -4. Determine q(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.97 - 0.03. Let z = 14.12 - 0.12. Let s = 10 - z. What is the nearest to -2\/5 in m, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeelllenlnnnneeleln?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22544898 to the power of 1\/2, to the nearest integer?\nAnswer: 4748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Suppose 0 = -5*x - y + 18, -4*y = 5*x - 12. Suppose h*u + 2 = x*u. Which is smaller: -0.1 or u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 6*q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 148847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 663 - -45?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 84 = -156. Solve -a - t*g - 1 = -3*g, g = 4*a - 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2420542.\nAnswer: 2, 31, 39041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (112\/392)\/(3\/(-7)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 353, 21, 0.1, -4\/47 in decreasing order.\nAnswer: 353, 21, 0.1, -4\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -391 + 1244. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 20. Solve -4 + g = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**2 + 2*h + 1. Let x(t) = t**2. Give -c(j) - x(j).\nAnswer: 3*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o. Let a be n(1). Let m be 27\/5 - a\/(-10). Suppose 0 = -w + m*w. Solve -4*v = -2*v - 2*u + 4, 5*u - 25 = w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**6\/120 + 2*m**4 - 19*m. Let t(o) be the third derivative of z(o). Let f(w) = 10*w. Determine f(t(j)).\nAnswer: -60*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 7*s = 39*s. Let d(q) be the third derivative of 13\/60*q**5 + 18*q**2 + 0*q + s*q**3 + 0 + 3\/8*q**4. What is the second derivative of d(r) wrt r?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0*n**4 + 9*n + 0*n**2 + 0*n**5 + 0 + 7\/30*n**6 + 2\/3*n**3. What is the second derivative of b(i) wrt i?\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229277*b**2 - 76425*b**2 - 76425*b**2 - 5*b**3 - 76427*b**2.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*q + 0*q = -13, -3*q + 12 = 0. Let h be (l - 0) + -1 + 5. Let y = 1688 + -1685. Solve -9 = y*g - h*z, -3*g + 5*z - 1 = 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.945 + -0.045. Let f = -1.1 - o. Let n = f + 4.00016. What is n rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297674000 rounded to the nearest one million?\nAnswer: 298000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1935 - -2565. What is the remainder when r is divided by 71?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224122219 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -84317 from 71.\nAnswer: 84388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-9))\/((-3)\/(-27)). Suppose -3*u + 4*i = -u - 48, 0 = -3*u + f*i + 69. What is the remainder when 42 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350519 is divided by 184.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(-i**2 + 0*i + 0*i) - i**2 - 2 + 2 + 0 + 0 + i**2 + i + i**2 - i.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y = 33*y - 42*y - 252. Sort y, 2, 97 in ascending order.\nAnswer: y, 2, 97","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17ee + 23?\nAnswer: -17cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 9:06 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04366 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530*f + 825 = 563*f for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -83 times -894541.1\nAnswer: 74246911.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1665299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -758, -1815, -3324, -5285?\nAnswer: -7698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 42, 50, 62, 78, 98, 122?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14287.\nAnswer: 7, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7177, 14321, 21521, 28783, 36113, 43517, 51001?\nAnswer: 58571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/3, -5, -10\/9, -5\/4, -1\/2, 11.6, -7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47878, 47801, 47736, 47683, 47642, 47613, 47596?\nAnswer: 47591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + 8*i - 5 + 3 + 2*i**2. Let h be d(5). Let g(o) = o**3 - 12*o**2 - 14*o + 19. Does 6 divide g(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 12700*g. Let m(c) = 2*c**2. Give m(t(x)).\nAnswer: 322580000*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776828 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.98 - -0.02. Let n = 0.13 + -2.13. Sort h, n, 5 in increasing order.\nAnswer: n, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*c = 6, 7*h - 12*h = -2*c - 31. Let z be (-6 + 9\/3)\/(-1). Suppose h - 57 = -g - 5*d, -5*g + z*d = -372. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2*(-113)\/1808.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0.2. Put 3, x, 5, -1\/4 in increasing order.\nAnswer: x, -1\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.054 + 31.946. Let u = -142.2 + 175.2. Let q = v - u. Which is the nearest to 0.1? (a) q (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -384 + 384. Solve -3*j + 5*s - 19 = z, -3*s - 1 = 2*j - 4*s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -183 - -1645\/9. Let k(r) = -52*r - 10. Let g be k(5). Let i be 5\/2*(-24)\/g. Which is the closest to h? (a) -1\/6 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1443851 times 1\nAnswer: -1443851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0613 greater than 146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10194*a**3 + a**2 - a**2 + 10202*a**3 - 20383*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * 37266.\nAnswer: -1192512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4 - 6. Let g = -0.3 - -0.1. Put f, g, -0.4 in descending order.\nAnswer: g, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17 from -0.1321.\nAnswer: 16.8679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -20, -58, -154, -332, -616, -1030?\nAnswer: -1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, z: 3}. What is prob of sequence zjjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.1 (c) 19 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18418\/312 + (-1)\/(-3). Let w = v - 275\/4. Let i = 2100\/221 + w. Which is the second smallest value? (a) 2\/3 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*l**3 + 801*l**3 + 35*l**3 + 1526*l**3.\nAnswer: 1878*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.1167838451 plus 109.3?\nAnswer: 134.4167838451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 5\/(15\/(-264)). Let f = a - 106. Let j(k) = k**2 + 13*k - 25. Let t be j(f). Solve -3*y - t*q - 31 = 0, 5*q + 46 - 19 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1177175 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18268*z**3 - 2906*z**2.\nAnswer: 109608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3194\/3 + -1062. Let g(i) be the first derivative of 5 + 2\/15*i**5 + 8\/3*i**2 - 1\/3*i**4 - k*i - 2\/3*i**3. Factor g(c).\nAnswer: 2*(c - 2)*(c - 1)**2*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**3 - 47*c**2 + 9*c + 215. Give f(-6).\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 522 and 173285614.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d = 66. Suppose 2*b = 3 + 1. Calculate the common denominator of (20 - (2 + -5))*b and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -j - 1. Let n(o) = -6*o - 3. Let h(k) = -2*k - 1. Let u(p) = -14*h(p) + 4*n(p). Let x be u(j). Calculate the greatest common divisor of x and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -9.27\nAnswer: 0.927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0377 - -0.0623. Let m = 34 - 26. Let r = m - 6. Which is the fourth smallest value? (a) t (b) -0.01 (c) 2\/7 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-12 + 10))\/(7\/56) - (-1 + 2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5544423 and -0.02.\nAnswer: 0.011088846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -3.3 (c) 2\/9 (d) -3\/5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 393264.4 and -0.1?\nAnswer: -39326.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-118)\/49560*-140)\/((-1)\/(-36))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32549, 32532, 32493, 32420, 32301, 32124, 31877?\n\"Answer: -2*a**3 + a**2 - 6*a + 32556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 2*w**3 + w**3 + 3*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -502*q + 2082. What is the units digit of r(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(8) - sqrt(8)*2) - (sqrt(121)\/sqrt(176))**2.\nAnswer: -sqrt(11) - 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 6*r + 4. Suppose 5*g - 16 - 14 = 0. Let z be a(g). Suppose z*p = 2*w + w + 14, 4*w + 3*p = 23. Solve 5*y + 4*j = -16, w*y + 5 = -j + 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -q - 2*x + 6, 2*q = 5*x - 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -7*d**4\/2 - d**3\/3 + 12*d**2 - d + 3. What is the second derivative of a(s) wrt s?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 553 or 552?\nAnswer: 552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-19 + 607)\/(-14))\/(7508\/(-2502) + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -9.2651?\nAnswer: 9.2651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/3 + 3. Let f = -401 + 4793\/12. Let g = 5\/4 + f. What is the nearest to -2 in h, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -101101100000110?\nAnswer: 101101100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**2\/2 + 3. Let i(c) = -7*c. Give i(w(n)).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -22. Suppose 2*x + x - 17 = -4*k, 4*k - 2*x = 2. Sort k, b, -4.\nAnswer: -4, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + 5 - (2 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -131 + 134. What is the remainder when (441\/(-12) + z)\/((-6)\/16) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 63529*c**2 - 1009078747*c - 3026664507.\nAnswer: -(c + 3)*(c + 31763)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*a**3 + 10 + 5 - 5*a - 34 + 8 + 14.\nAnswer: 235*a**3 - 5*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 - (0 + 1). Let m = 4.4 + -5.4. Let t = -0.4 + 0.3. Put m, f, t in decreasing order.\nAnswer: t, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xexxeecedxcccecxcce. What is prob of sequence xxe?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2467, 4955, 7469, 10021, 12623, 15287?\nAnswer: 18025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-9)*-11*128\/(-176)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.9 (c) -3 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 5. Let i(z) = -z - 6. Let b(c) = 2*c - 22. Let r be b(16). Suppose 5*k - 40 = -r. Give k*s(o) - 5*i(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00089669 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 14*t**2 - 31*t - 27. Let u be b(14). Let v = 499 + u. What is the greatest common divisor of 646 and v?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 7*i**2 - 8*i + 6. Let w be j(-8). Let g = -14 - -26. What is the remainder when 352\/g*w\/4 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 41 - 15 = 4*s, 4*v = -s - 4. Suppose 6 = -3*k, 4*h + 4*k - s = h. Is h smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.65251478 rounded to four decimal places?\nAnswer: 1.6525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(18\/(-4) + 4). Let j(y) be the second derivative of 0*y**2 + 0 - 1\/10*y**5 + 0*y**d + 1\/6*y**3 - 3*y. Find the second derivative of j(m) wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1116547165*r**3*w + 165*r**2*w + 2*r**2 - 2*r*w - 2*r + 17*w - 332 wrt r.\nAnswer: -6699282990*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -310.776 - -311. Let x = 0.249566 + -0.026996. Let d = x - k. Round d to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 0 + 234*s**3 + 9126\/11*s**2 + 2\/11*s**5 + 0*s - 150\/11*s**4 = 0?\nAnswer: -3, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448*z + 3*g + 6 = 441*z, 4*g - 25 = -g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + -20421?\nAnswer: -20413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*i - 92 + 112 - 7.\nAnswer: -2*i + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -13*l**5\/20 + l**4\/8 - 1219*l**3\/6 - 12*l**2 + 2. Find the first derivative of o(b) wrt b.\nAnswer: -78*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 148 and 13424.\nAnswer: 496688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 4:05 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/11, 13037, 2, 1.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 14. Solve 2*z - 7*z + m = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507614 is divided by 376846?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 300, 598, 904, 1224, 1564, 1930?\n\"Answer: r**3 - 2*r**2 + 297*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6362, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4197.\nAnswer: 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 9 (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p - 40*p + 795 = 795 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -5*m - 24. Suppose -4*h = -0*d - d - m, -2*d - h = -33. What is the first derivative of -5*n**4 - 5*n**4 - 3 + n**4 - d wrt n?\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001100011 (base 2) to base 5\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 11, i: 1, g: 7}. What is prob of picking 1 u and 1 i?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 312*v + 260. Determine g(-5).\nAnswer: -1300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66786.\nAnswer: 2, 3, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19*(-92)\/7866*135.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Let w(q) = q**2 + q. Let t be w(r). Suppose 0 = -3*y + 5*h - 5, 5*h - 3*h - 8 = 0. Which is the closest to 3\/2? (a) t (b) 1\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1067160 and 1368?\nAnswer: 60828120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 2:34 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*o + 5*f, -2*o - 4*f + 20 = -o. Let u = o - -4. Solve -21*z**5 - 23*z**3 - 17*z**4 - 83*z**3 + 119*z**4 - u*z + 48*z**2 - 15*z**5 = 0.\nAnswer: 0, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -864 + 544. Let d = l - -929\/3. Let g = 54469\/17 + -3202. Find the common denominator of d and g.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -205751935*p + 592025733.\nAnswer: -205751935","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 14*c - 46. Is s(-13) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*y**2 - 7*y + 7*y)*(4*y - 4*y + y)*(-5*y + 10*y + 2*y).\nAnswer: -105*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/7)*k*k)\/k**(-3\/7))**(-41) assuming k is positive.\nAnswer: k**(-738\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 955\/(-5)*(4 + 9\/(-3)). Let x = h + 206. What is the remainder when 57 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from hrhurhirihurhihhr.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/184 and -87\/3748000.\nAnswer: 86204000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (5 - ((1 - 4) + 11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(74\/(-37))\/(6*7\/(-546)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5922 - 78b4?\nAnswer: -1b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47.32392 + -47.81. Round l to three decimal places.\nAnswer: -0.486","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 640680, 640691, 640716, 640761, 640832, 640935, 641076?\n\"Answer: j**3 + j**2 + j + 640677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -156700000 rounded to the nearest one million?\nAnswer: -157000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51997 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*k - 39, -5*z - 11 - 4 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -138 + 138. Let t be 9\/6*(l - -5 - -1). Suppose 5*n + 1 - 16 = 0. What is the highest common divisor of n and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3280 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: Three letters picked without replacement from {e: 1, t: 1, u: 1, l: 1, f: 1}. Give prob of sequence ftl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 - 4*l - 4. Let y be z(-1). Suppose 0 = -y*s - 10*s + 15717. List the prime factors of s.\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158407 = 5081*v + 1158*v + 63014 - 122972 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63 + -60. Suppose 0*o = 2*n + 5*o, 35 = 5*n - 5*o. Let g be 4*(15\/6)\/n. Solve g = h - y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**13\/c*c)*c))\/c**(6\/11)*c**(6\/17)*c*c\/((c**(-9)*c)\/c)*c assuming c is positive.\nAnswer: c**(4452\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z + 180. Calculate the remainder when z is divided by (-1105)\/(-52) - (16 - (-994)\/(-56)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + (-3*sqrt(320)*1 - sqrt(320))) - ((sqrt(320) - (-2 + sqrt(320))) + 5 + -5*sqrt(320)*-1))**2.\nAnswer: -2880*sqrt(5) + 72144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70.9 + -71. What is the nearest to 0 in 3, 0.3, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (31 - 74777\/2405)*-5. Factor 6\/13 + 2\/13*u - 2\/13*u**3 - p*u**2.\nAnswer: -2*(u - 1)*(u + 1)*(u + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 844 - 127*m - 844 + (1 + m - 1)*(-1 + 0 + 0) - m - 4 + 4 in the form d*m + k and give d.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -1 (c) 104 (d) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/7)*y\/(y\/(y\/((y**(-3)*y)\/y))))\/((y**(2\/5)\/y)\/y*y\/(y*y**2)*y*y))**(1\/12) assuming y is positive.\nAnswer: y**(241\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 11:35 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -11. Is (-601)\/b + (-4)\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + 2.3. Let q = 832 + -848. Which is the smallest value? (a) h (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 469 (c) 2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c = -4*u - 20, 0 = 4*c + 5*u - 66. Let y be (-1)\/(10\/(-28) - 2\/c). Let f be (-1 + 8)\/(-1 + 2). Solve -l - f = -y for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g + 104. Let n be w(-19). Let v be (5 - -76)\/n + -20. What is the second smallest value in 4, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 d when three letters picked without replacement from ktdd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, h: 7, z: 1, s: 1, l: 1, k: 4}. Give prob of picking 1 k and 2 h.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 330295300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 12*x - 23. Let n be i(14). Solve 0 = 3*p - 4*c - 1, 4*c + 0 - 1 = n*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -91*w**5\/20 + w**4\/12 + 4*w**3\/3 + 5*w**2\/2 + 117*w. Is u(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(7\/2)*m))\/m)\/(((m\/(m**(3\/14)\/m))\/m)\/m))\/(m\/(m\/(m*m\/(m*m\/m**(-1\/6))*m)))**(-4\/3) assuming m is positive.\nAnswer: m**(-200\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155064 - 109464 = -19*r + r. What is the remainder when r is divided by 84?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*w**(-14\/5))*w))\/w**(-1))**(-1\/70))**(18\/13) assuming w is positive.\nAnswer: w**(81\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/18 - ((-227)\/39 + 3) and -47\/11.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**2\/2 - 1142679*a\/2 - 571341 = 0.\nAnswer: -1, 380894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/87 - -77\/435. Let u be (-193)\/(-12) + -3 + (-5 - -1). Let g = u + -25\/3. Which is the fourth biggest value? (a) g (b) h (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1350.5 + -1350.8. Let f = -0.4 - 0.1. Let n(l) = -l**3 - l**2 - l - 4. Let r be n(0). What is the closest to 1\/3 in f, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4\/15 - 4*d**3 - 72*d**2\/5 - 208*d\/15 = 0.\nAnswer: -26, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2 + 69*c + 16. Give s(-15).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((35\/20)\/(-7)). Suppose 32 = 6*m - 4*m + 4*x, 0 = 4*m + a*x - 84. Let n = m - 16. Calculate the least common multiple of n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3365410 is divided by 5038?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6554377 (base 8) to base 6\nAnswer: 101413435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 2 + 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 347822 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, 1.6, -4\/7, -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bblbbblbbbbb. Give prob of sequence ll.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/40407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.37093 weeks to nanoseconds.\nAnswer: 224338464000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1512 (base 6) to base 7.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + 4 + 2 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -30 and -0.1633.\nAnswer: -30.1633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*w**3 - 412532*w**2 - 150238*w + 10?\nAnswer: 36*w - 825064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 22 = 5*v. What is the remainder when 29 is divided by (3 - v - 3) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 14 = 22. Suppose s*z - 91 = 59. What is the remainder when z\/10*12\/10 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4967613 less than 85271?\nAnswer: -4882342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133627.7439ms to weeks.\nAnswer: 0.00022094534375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 1:21 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*t - 7 = 0, -4*t - 4 = -4*l - 0*t. Suppose -l*g - 7*g = 0. Solve 0 = -2*a - 4*i - 2 + 12, -5*a - i - 11 = g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 4, 11, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3318 - 3306. Calculate the remainder when 2084 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1372 and 980?\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.21000925 + -2.21. Round a to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {u: 3, x: 5, w: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -6) + (0 - 6 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 10, 2 in descending order.\nAnswer: 24, 10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**2 + 110 + c**2 - 108 + 2*c.\nAnswer: -11*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (676\/(-112) - -6) + 1\/16*-4. Let y = -0.6 - -0.2. Let k be (4\/(-10))\/((-4)\/(-15)). Which is the smallest value? (a) 4 (b) y (c) k (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-40)\/60)\/((-8)\/(-54))*-2. Suppose -q*z + 4726 + 33821 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59989853 divided by -5453623?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*w - 21 = 0, 3*j - 6*j = 2*w + 96. Let z be ((-4)\/(-22))\/((-10)\/j). Which is the third biggest value? (a) z (b) 0.6 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -267621281.\nAnswer: -1\/267621281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 5) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7688?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 0*z - z + z - z. Let v(o) be the third derivative of o**5\/20 - o**2. Calculate k(v(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -13. Let r(y) = y**3 + 6*y**2 + 2*y + 9. Let q be r(-6). Let k = p - q. Solve k = 5*b - 9 + 34 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + -0.33. Let b = -12.7 - -13. Sort f, b, 0.\nAnswer: f, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*u**3 + 269*u**3 - 136*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*v + 12, 6*t + 3*v + 33 = 3*t. Let f = -17 - t. Let m(u) = 2*u + 16. Let b be m(f). Round b to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56677553 to the power of 1\/3, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s + 5*s)*((0*s**2 + 0*s**2 + 2*s**2)*(3*s - s - 4*s) - 5*s - 2*s**3 + 5*s).\nAnswer: -18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*10\/(-24 + 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*c + 79. Calculate the greatest common divisor of 160 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 358534*p**3 + 946*p**2 + 946*p - 1892. Let x(w) = 1897*w**3 + 5*w**2 + 5*w - 10. What is 5*b(d) - 946*x(d)?\nAnswer: -1892*d**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: -133332130322 (base 4) to base 9\nAnswer: -16685268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 - 18 + 3416*s - 3416*s - 2*s**4 + (2*s - 4*s + 4*s)*(0*s**3 + 2*s**3 + 0*s**3).\nAnswer: 2*s**4 + 3*s**2 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2 + a. Suppose z - 5*z - 18 = -3*l, 0 = -4*l - 5*z + 24. Let j(m) be the first derivative of -m**2\/2 + 7*m + 42. Let r be j(l). Calculate s(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278, -1094, -2538, -4610, -7310, -10638?\nAnswer: -14594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*c = -1, -2*u + c = u - 17. Let t be (-255)\/(-20) - 3\/4. Suppose -u*p + p + t = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131099?\nAnswer: 31, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 360626.\nAnswer: 28850.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 362*h**2 - 3855*h - 69. Calculate t(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 (base 7) in base 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/5)\/u)**(1\/78))**31*((u\/u**(-8\/7))\/u*(u*u\/(u**(-4\/7)*u))\/u)**(-4\/35) assuming u is positive.\nAnswer: u**(-3391\/9555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/6 + (-3)\/((-1008)\/104). Which is the smallest value? (a) -1 (b) -3 (c) 0 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -6\/17 (b) -65 (c) 0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -169. Let l = y + 285. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -3 - -2) + (0 - (-1 + 4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*y - 3)*(3 - 7 + 2) + y + 0 + 0 - 1 + 2 - 5 - y.\nAnswer: -4*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 4423 - 4399 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1947845, -7791387, -17530631, -31165583, -48696249?\n\"Answer: -d**3 - 1947845*d**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 18. Put 0.3, -0.3, m, -2 in increasing order.\nAnswer: -2, -0.3, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 10*j**2 - 79*j - 5. Let f be u(8). Solve f + 45 = -8*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyl when three letters picked without replacement from {y: 7, v: 2, l: 1, d: 8}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 47 = 31. Suppose -5*u - m = 2*b - 1, -4*u = -b + 20. Let p be (-12)\/(-2)*(-285)\/(-114). Solve 4*s - s - p = b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1198*t + 21054. Give w(-17).\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -0.6 (c) -3 (d) -211\/4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 14. Let z be s(6). Suppose -4*g = -i - 7, -z*i = 5*g + i - 15. Suppose -4*x + 36 = 3*u, 0 = 3*x - 4*u - 0*u - 2. Solve g = 2*b - x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 9*j**2 - 11*j + 3. Let b be a(8). Let i = 37 + b. Suppose 4*v = 4*k - i, 5*k + 11 = -4*v - 14. Is k at least 1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1168, -4681, -10536, -18733, -29272?\n\"Answer: -1171*q**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 17*z**2 + 127124*z + 2033731. What is p(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 - -2.2. What is the smallest value in 0.11, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t - 315. Let v = t - -84. Solve 4*j + 3*f - 7 = 0, 0*f = 3*j - 3*f + v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3151, 6483, 9995, 13687, 17559, 21611?\nAnswer: 25843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*n - 14 = -n, 2*p - 6 = -n. Suppose -t - d + 30 = 0, -p*t - 12 + 132 = -4*d. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1869972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1704 less than -277397?\nAnswer: -275693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 748*v**4 - 705*v?\nAnswer: 8976*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t**2 + t + 1. Calculate o(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2000 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 17 + -7 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 11*p + 24 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 - 18 - -5201*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**4\/4 - d**3 + 3*d**2\/2 + 4. Let z be x(3). Solve z = -w + 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9767 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 13*b - 7. Let f be x(12). Let r(c) = 44*c**2 - 6*c - 23. What are the prime factors of r(f)?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -18*c - 74. Let n be k(-4). Let x be (-4)\/(-10) - (-342)\/45. Which is greater: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3903847 = 3903859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 11*q**2 - 6*q - 5. Let l(o) = o**2 - o - 1. Let n(v) = -b(v) + 6*l(v). Let r be n(-1). Let j(i) = -3*i + 704 + i - 711. Calculate j(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gguugbblbbu. Give prob of sequence bug.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 184.277\nAnswer: -73.7108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 729772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 28.6927, -0.2, 6 in decreasing order.\nAnswer: 28.6927, 6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6999 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 48*n**2 + 93*n + 99. Suppose 5*o - 204 = 4*o + k, 0 = -5*o + 3*k + 1024. Calculate the remainder when o is divided by f(-46).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 497 + -496.9742. Let i = -0.01839 + y. What is i rounded to 4 decimal places?\nAnswer: 0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33798820 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 1179170?\nAnswer: -1179167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 98129761?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 210234411 (base 5) in base 13?\nAnswer: 245195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 - b - 2. Let y(w) = -13*w**2 - 5*w - 9. Calculate 18*q(t) - 4*y(t).\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - r - 3*r)*(3*r**2 + r**2 - r**2) + r**3 + 0*r**3 + 0*r**3 + (-6*r**2 - 3*r**2 + 3*r**2)*(2*r - r + 0*r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33, -73, -95, -93, -61, 7, 117?\n\"Answer: s**3 + 3*s**2 - 56*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12039*z + 27070*z + 20266*z + 3917*z.\nAnswer: 63292*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/78 and -50\/129.\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -59675462629531?\nAnswer: 59675462629534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4216 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5098586 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 192, 382, 572, 762, 952, 1142?\n\"Answer: 190*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/48 and -103\/315.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**3\/2 + w**2 + 2*w. Let v(i) = 294*i + 0 - 135*i - 5 - 152*i. Calculate 9*t(c) + 4*v(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2625?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 96 + 208 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 218, -7, -2, -92, -1 in descending order.\nAnswer: 218, 0, -1, -2, -7, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -18761*f**2 - 1606*f + 803. Let t(q) = 140*q**2 + 12*q - 6. Determine 6*j(h) + 803*t(h).\nAnswer: -146*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + 0.15. What is the second biggest value in -1\/2, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*sqrt(1053)*2)**2 + -1)*-3 + 2 + -3.\nAnswer: 37898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7049, 56303, 189987, 450317, 879509, 1519779?\nAnswer: 2413343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41192 and 1336688.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -478 + 4149. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 5*a**2 - 2*a - 9. Let y be d(-6). Let c = -74 - -129. Let m = y + c. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001101 - 100000101100011111?\nAnswer: -100000110000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 488 and 25986?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/14 + -1)*308\/66?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-42.4\nAnswer: 42.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 429, 1501, 2573?\n\"Answer: 1072*v - 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.413 - 0.013. Let r(p) = p**3 + 7*p**2 - p - 5. Let g be r(-7). What is the second biggest value in b, 0.1, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a**3 + 0*a**3 - a**3)*(-3*a + 3*a - a)*(-4 + 3 - 1) to c*a**2 + b + z*a**3 + t*a**4 + i*a and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 2. Solve 0*d**y + d**3 + d**3 - 2*d**4 = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3238.870135 - 5.6.\nAnswer: -3244.470135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(4 + (3 - 2)). Let z(y) = -12*y + 4281466 - 4281466. Let h(k) = 13*k. Calculate c*h(a) + 6*z(a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 4*x + 53 - 77 = 0, 2*l - x = -9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 25477*p - 152866. What is q(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 21, -2, 2\/3, -78.45 in increasing order.\nAnswer: -78.45, -2, -0.3, 2\/3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 47?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342 and 137952?\nAnswer: 2621088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 74*v**3 + 3*v**2 + 8*v - 12. Give h(2).\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768 = 64*h - 192 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1571 or 29831\/19?\nAnswer: 29831\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 20900215*l**3 - 20900212*l**3 - 15.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157 + 856*m - 310 + 153)*(-2*m + m + 3*m + 3*m - 4*m + 0*m + (-2*m + m + 2*m)*(3 - 6 + 2) - m - 1 + 1).\nAnswer: -856*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23214.\nAnswer: 2, 3, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 324 + -325. Let w = -64 - -65. Which is the closest to 2\/19? (a) p (b) -2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40240141?\nAnswer: 151, 266491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 11*n - 3. Let o be c(3). Let s = o - 17. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(2\/32))\/(-1). Let s = g - 7. Calculate the remainder when s is divided by 2\/(-7) + 60\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 - (-46)\/8. Suppose 9 = -3*d, -o - 2*d = 2*d + 11. Let h be (b\/4 - o)*38. Solve 1 = -5*v - h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 3:06 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -56, -5, -18, 4, 317, -3.\nAnswer: -56, -18, -5, -3, 0, 4, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*z = -97*z - 624 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 88 = -5*l + 2*r, 84*l - 70*l - 635 = -5*r for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*d - 3*w, 32 + 2 = -4*d - 2*w. Let x(f) = f**3 + 5*f**2 + 7*f + 7. Let l be x(d). Let k = l + 106. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4461065 centimeters?\nAnswer: 4.461065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02493 (b) -4\/7 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73973995?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2 + 414*m - 1269 = 0.\nAnswer: -141, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -2. Let l be 20\/24 - a\/(-4). Let l*u + 0*u**2 + 0 - 1\/3*u**3 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 12*n + 13. Let z = 4243 - 4256. What is p(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 6*i**2 - 6*i - 3. Let s be o(-5). Suppose s*p = 4 + 4. What is the units digit of (44\/8 - p)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 take away 5.81?\nAnswer: -7.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(-7\/4))\/(j*j**(-2\/11)*j))\/((j**7*j)\/j*j*j**(-5)*j))\/((j**(-1))**22*j**4*j*j*j**(4\/5)\/j) assuming j is positive.\nAnswer: j**(2339\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 divided by -40?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (798\/9975)\/(11\/(165\/4))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180289 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r**3 - 19 + 19)*(0*r**2 + 3*r**2 - r**2) + r**5 + 3*r**5 - 3*r**5 + 11*r**5 - 3*r**5 + 2*r**5.\nAnswer: 29*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 62 = 5*z, c + 2*z - 19 = -0*z. Let b(k) = -k**2 - 2*k + 20. Let n be b(-8). Let t = c + n. Solve x + 6 = t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162365 (base 13) to base 9.\nAnswer: -1024202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, l: 4}. What is prob of sequence kk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1 + 5 + 2*s - 2*s**3 - 10 + 5. Let n be (-7)\/4 + 1\/(-4). Calculate the lowest common multiple of 24 and c(n).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16744643, -16744636, -16744625, -16744610, -16744591, -16744568, -16744541?\n\"Answer: 2*r**2 + r - 16744646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 - 145*n + 71 + 145*n + 10*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7649, -7, -6.9 in ascending order.\nAnswer: -7, -6.9, 0.7649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 1, 3, 0.091348, -0.08 in descending order.\nAnswer: 3, 1, 4\/5, 0.091348, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16548111709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 + o + 199 - 50)*(2*o + 3*o - o).\nAnswer: 4*o**2 + 892*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86 + -29. Which is smaller: -113 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/1886837, -31, 2\/11?\nAnswer: -2\/1886837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 28 = -277. Let q = -38 + c. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 4, j: 5, a: 2, h: 1}. Give prob of picking 3 j.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j**3 + j**2 + 4*j - 3. Calculate n(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1\/(-2))\/(-1*2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 f when four letters picked without replacement from fwfffffffw.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 92514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.09, -18 in ascending order.\nAnswer: -18, -0.4, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11488 - -32596. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 221, 328, 449, 590, 757, 956, 1193?\n\"Answer: i**3 + i**2 + 97*i + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -976387 - -1660986. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 106 + 199. Let b = r + 224. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from ovovo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/903 - -18943\/9030. Find the common denominator of s and 59\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6737613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5822743 divided by -5.\nAnswer: -5822743\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*y - 174 = -2*c, y - 232 = -5*c. Suppose -3*t + 7*t - 77 = q, 2*t = 2*q + c. Calculate the highest common factor of t and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -15. Let b(i) = i - 44. Let z(n) = 3*b(n) - 8*s(n). Calculate the remainder when (36 - 2)*1 - 1 is divided by z(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 10*z**2 - 20*z - 26. Let k be n(-8). Suppose -81 = -3*l + 87. Suppose 10*c = k*c + l. What is the greatest common factor of 84 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1764217 + -20a?\nAnswer: -1764426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + q - 2)*(18 + 5939*q**2 - 2978*q**2 - 3000*q**2)*(3*q - 3*q + 2*q).\nAnswer: -78*q**4 + 36*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -27\/2. Let q = 60769\/4487 + 18\/641. Let l = q + -14. Which is smaller: l or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2.4, -2, -7.68?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -74, -230, -512, -956, -1598, -2474?\nAnswer: -3620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -315 divided by -105\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10 * -18926.9\nAnswer: 189269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (117\/18)\/((-2)\/(1 - 45)).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18.22? (a) -5 (b) -2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - (-1 + 0))*49\/21. Let k(a) = 5*a**2 - 3*a + 18. Is k(h) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z**2 + 11*z - 8. Let g be f(18). Let d be g\/(-187) + (-4)\/22. What is the first derivative of 5*a**d + 3*a**2 - 11 - 3*a**2 - 4*a**4 wrt a?\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2250101*x**3 + 292461*x.\nAnswer: -13500606*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 120 and 0.03?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*c + 0 = -11, 2*y + 2*c = -20. Let n = y + 14. Suppose -3*j + 2*f = f - 49, 0 = n*j - 4*f - 91. Calculate the remainder when 29 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*1*1\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111 - 1441\/13. Solve -2\/13*m**2 + 2\/13*m + 2\/13 - b*m**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -53 - ((-12)\/2 + 2). Is r bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 5:39 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.1 rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -5*n - i - 46, -4*i + 60 = 2*n. Suppose 5*w - f - 11 = -0*f, 4*w = 2*f + 10. Calculate the smallest common multiple of w and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = -2*j + 130, -4*c + 110 = 2*j. Let s be 6\/14 - (-8163)\/j. Calculate the greatest common divisor of 52 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 207, 310, 421, 540, 667, 802?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/18 and -87\/52.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/20)\/(2\/(-135)). Suppose -3*j + 8 + o = 4*m, 5*m - 2*j = 15. Solve 0 = m*v - 9 - 11 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 + 2*r - 357*r**2 - 18 - 32 to z + s*r + m*r**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -229?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -16. Solve -i*h = -5*d, -5*h = 4*d + d + 50 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, y: 5, b: 3}. What is prob of sequence ybb?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzf when three letters picked without replacement from hzhfzfhhzhzhhzz.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8 = -d, 4*c + 0*c + 6 = 2*d. Let n(p) = p**3 - 6*p**2 + 2*p + 9. Let a be n(d). Is a equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8251399 and 169?\nAnswer: 107268187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3812188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035115 rounded to 4 dps?\nAnswer: 0.0351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.473809nm to millimeters.\nAnswer: 0.000007473809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*k + 615*k - 196*k + 718*k.\nAnswer: 942*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 55 = -2*p, -12*p + 3*o - 25 = -13*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndd when three letters picked without replacement from dumnmndunuumcmmnm.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 16.7. Let x = 2.39 + u. Sort x, 1, -1\/2 in descending order.\nAnswer: 1, x, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -58*l**2 + 87. Let p(a) = a**2 - 1. Determine 87*p(r) + x(r).\nAnswer: 29*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 110, 113?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 8*d - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 17212 to the nearest one hundred.\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -563*r**4\/8 - 173*r**3\/2 - 3*r**2 + 47*r + 4. Differentiate d(u) wrt u.\nAnswer: -1689","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/((-3250)\/60)*1365\/(-8400)?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9604 and 19736.\nAnswer: 47386136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9010?\nAnswer: 2, 5, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13193 is divided by 348?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -13, -1, 5 in ascending order.\nAnswer: -13, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(-1\/6)\/c))\/c)\/c**5*(c**(-3)*c)\/c*c*c**(-5) assuming c is positive.\nAnswer: c**(-59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7180.3, 0.01, 0.4.\nAnswer: 0.01, 0.4, 7180.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 11:04 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22101 + -1021021?\nAnswer: -221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.423 - 0.1881. Round s to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 30*l + 9. Let w be z(-8). Let m = w - -631. What is the highest common factor of m and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.43363? (a) 3 (b) 0.6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 2. Let r = -8 + p. What is the smallest value in 0, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (968*y - 490*y - 162*y**2 - 478*y)*(3 + 2*y**2 - 3) to r*y**3 + d*y + f*y**4 + n + t*y**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90)\/(-55)*(-8074)\/11010.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8684 by -13.\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 3. Let u(q) = 2*q - 16. Let c be u(5). Let o be (c\/(-12))\/(1*(-2)\/(-8)). What is a(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 18 = -15*l. Solve y = -l - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 4, e: 1, k: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 + l + 1. Let g be d(-1). Suppose -10 = -3*b + b. Suppose -8 = 2*f, b*x - 153 = f + f. Solve -4 = g*a - x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 4. Let g be ((-450)\/(-24))\/(1\/i). Suppose 5*h = -0*h - 4*b + g, 0 = 3*b - 15. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 144*s + 465. Let d be y(75). Solve 5*k = -n - 25, 80*k - 85*k - d = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 - 3162*f + 173304.\nAnswer: 3*(f - 996)*(f - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 21*g = 765. List the prime factors of g.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 1. Let z = 5.2 - k. What is the nearest to -1 in -3\/7, -3, z?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.57645 to one dp.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 1. Let k(v) = 7*v**2 - 2*v + 6. Let r(g) = -g - 1. Let y be r(-4). Suppose -3*j - 7 = 5*n, -3*j + 7*n = y*n - 38. Calculate j*f(d) + k(d).\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6 + k - 2*k + 0. Let i(u) = -2*u - 2. Let t be i(-4). Let f be d(t). Are f and 6\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5576 - 3?\nAnswer: 5573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 + -61. Let n(k) = k**3 + 11*k**2 + 20. Let p be n(-11). What is the highest common divisor of m and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**3 - 7*q**2 - 3*q - 5. Is n(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24686830?\nAnswer: 2, 5, 7, 29, 12161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**17*f)\/f)\/f)**(-21)*(f**(-19)*f)\/f**(1\/2) assuming f is positive.\nAnswer: f**(-709\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53603?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5234389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*l - 17. Let v(h) = 10*h**2 - 6*h - 1. Let q be v(3). Suppose n = -4*n - 5, -4*j = -3*n - q. What is the remainder when j is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-20)*6*-2. Suppose -4*y = -4*x + 20, 2*x - x = -5*y - 19. Let t = -7 - y. Sort t, q, 4.\nAnswer: t, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.22917 and -4?\nAnswer: 4.91668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 13. Suppose -5*y + i*n = 35, -y + 5*y - 3*n + 23 = 0. What is the units digit of ((-2)\/1)\/y*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3462 - -3706. What is the remainder when 745 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuddiuxixxiui. What is prob of picking 2 d and 2 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 213.5349.\nAnswer: -640.6047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 544971265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -367\/45 - -38\/5. Is -1 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/182)\/((-16131)\/(-1129170)).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 52336 - 4*r + 2*r + 6592*r**2 + 2*r - 52337 as d*r + z + f*r**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 131388 divided by 3\nAnswer: 43796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**4 + 38*l**3 + 25*l - 23852.\nAnswer: 8*l**3 + 114*l**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = g + 4*a, 4*a - 24 = -3*g + 8. Let i(k) = k**3 + 2 - 6134*k - 2*k**2 + 4 + 6124*k - 5*k**2 + 1. What is i(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c = 13*c - 50 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/8 and (-2)\/16*91\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -3 + (-3 - -6). What is the tens digit of (-448)\/(-10) - b\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-4 + 6)\/2. Let q be (-5)\/(885\/2)*y. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477271.2 litres in millilitres?\nAnswer: 477271200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2) + (3 - (3 - -2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 59, 90, 135, 200, 291, 414?\n\"Answer: o**3 + o**2 + 21*o + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k**3 + 159542*k**2 - 15438*k - 21?\nAnswer: -24*k + 319084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 45 = -2*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3792 and 360236208?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*m**3*q - 2*m**3*r + 4*m**3*y**2 - 13*m**2*y**2 + 213*m*q*r*y**2 - 14*m*r*y**2 - 5*m*r - q*y**2 - r*y wrt q?\nAnswer: 5*m**3 + 213*m*r*y**2 - y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 4:59 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*h - 90. Let z be -2*(-3)\/h*-3. Let c = 0 + 2. Is c greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 541034?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00572 rounded to four decimal places?\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*463652.\nAnswer: -231826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) + 380\/30. Suppose 37 = q + y. Let p = -3 + q. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1055, -2333, -4027, -6137, -8663, -11605, -14963?\nAnswer: -18737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18047?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 1:52 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -141225504?\nAnswer: -141225455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 3. Let b(z) = -2*z**2 - z + 6. Let u(r) = 2*b(r) - 5*y(r). Let v be u(3). Find the third derivative of v*m**2 - 2*m**2 - m**3 + 3*m**2 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -3, -81, 0, -2 in ascending order.\nAnswer: -81, -3, -2, 0, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18+-82376.956\nAnswer: -82358.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/5)\/((-14)\/5). Let y = -17.55 - -17. Let l = y - -0.6. Is x at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 less than -0.293036?\nAnswer: -337.293036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24\/(-84) + (-72)\/(-7) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -v**4 - 79442*v + 51532113.\nAnswer: -4*v**3 - 79442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 9777, -4, -0.1 in ascending order.\nAnswer: -4, -0.1, 4, 5, 9777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvqqvqqvqvqqqvqqqv. Give prob of picking 1 q and 1 v.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, 2, 13, 4 in ascending order.\nAnswer: -13, -2, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 110636, 221426, 332218, 443012, 553808, 664606?\n\"Answer: q**2 + 110787*q - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3013 divided by -131.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**5\/20 - u**4\/4 - u**3\/3 - 2*u**2 + 50*u. Let r(h) = h**2 + 1. Calculate 6*r(i) + 2*w(i).\nAnswer: -2*i**3 - 4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3\/13)\/v)\/v*v*v\/(v*v*v**(-11))*v)\/(v**(-26)*v*v**2))**19 assuming v is positive.\nAnswer: v**(8094\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100111010100000101000 (base 2) to base 12.\nAnswer: 1173174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-752)\/(-160))\/(-47))\/(16\/(-40)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**3 - 34*h**2 + 34*h - 37. Let k(i) = i**3 + 17*i**2 - 17*i + 18. Let t(d) = -5*k(d) - 3*o(d). Give t(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of s**8\/26880 + s**7\/10080 - s**6\/2880 - s**5\/480 - s**4\/12 - 8*s**2. Let a(x) be the second derivative of n(x). Factor a(k).\nAnswer: (k - 1)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4272.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -33. Suppose 6 = 4*u + i - 25, -u - 1 = 2*i. Let t = 81 - 69. Solve 0 = -k*o - t, j + o - 1 = -u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 9:29 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/2 + 6*n**4 - 49*n**3\/2 + 45*n**2 - 38*n + 12 = 0 for n.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**4 + 1. Suppose 17 = -m + 16. Let z(l) = 30*l**4 - 35*l**3 + 90*l**2 - 100*l + 65. Let r(q) = m*z(q) + 25*b(q). Suppose r(x) = 0. What is x?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*n = -20*n + 98*n - 4140 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 1201 = -h + 36, 0 = h - 5. What is the remainder when p is divided by 81?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2 - 0) + (-6)\/(-4))*-4. Suppose -q*l = -9*l + 35. Solve -2*d - l*x = -d - 11, 0 = -5*x + 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -70*n**3 + n**2 + 12*n - 12. Determine k(1).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -17*b**2. Let a(n) = -2*n + 69. Give a(g(y)).\nAnswer: 34*y**2 + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -326, 3, 4 in decreasing order.\nAnswer: 4, 3, -4, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -2087?\nAnswer: 2086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/352 and -61\/19408?\nAnswer: 426976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*sqrt(3888)*-1 - 2*(-2 + sqrt(3888) + sqrt(3888)*-2))**2.\nAnswer: 5760*sqrt(3) + 1555216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109428, -109429, -109430?\nAnswer: -109431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 957 = 18*y + v, -y + v = -195. Calculate the greatest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/8*(2 - 2 - 2). Let o be (-690)\/130 + (2 - -3). Sort o, -2\/11, x in decreasing order.\nAnswer: -2\/11, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - 44 - 2421\/(-27).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b. Let i(z) = 136960*z - 72225. Let t(w) = 856*w - 450. Let r(l) = -4*i(l) + 642*t(l). Determine r(n(a)).\nAnswer: -3424*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25007795, 50015590, 75023385, 100031180, 125038975, 150046770?\n\"Answer: 25007795*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/17901 (b) 2355 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 816, 654, 224, -606, -1968, -3994, -6816?\nAnswer: -10566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1915 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.57 + -0.03. Let d = s - -3.6. Which is the nearest to d? (a) -5 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*a + 39 + 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*b**6 + 769238*b**3 + 142267*b**2 - 2*b + 4.\nAnswer: 1200*b**3 + 4615428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m + 9*m - m**3 - 12*m - 2*m**3.\nAnswer: -3*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6155 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3814 - -3817. Solve 2*t + 3*t = -4*l - 25, l = -z*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -275 - -15682\/57. Find the common denominator of 33\/5 and x.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 - 93. Which is the biggest value? (a) -0.3 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-1*sqrt(605) + (4 + (sqrt(605) - ((-1 + sqrt(605) - sqrt(605)) + sqrt(605))) - sqrt(605)))**2 - 1*sqrt(180)*-2*4.\nAnswer: 488*sqrt(5) + 9705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600067 (base 8) to base 16.\nAnswer: 30037","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1)*1)\/((-20)\/(-60)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-5 - -5 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000161019 to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 555533, 1111071, 1666611, 2222153?\nAnswer: 2777697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 3*w + w)*(-4 - 6*w + 4)*(-3*w**2 - 2*w**3 + 0*w**3 + 4*w**2).\nAnswer: -12*w**5 + 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**7\/42 - c**4\/12 - 2*c + 2. Let x(h) be the first derivative of w(h). What is the third derivative of x(m) wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + 8a?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.635821 tonnes to micrograms.\nAnswer: 6635821000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k = 112. Let x be (7 - 3 - 1) + (-20)\/15*3. Is 7*(x - (-4)\/(k\/27)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93329 + 137 + 10 + -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + j. Let h(k) = k**3 - 5*k. Determine h(t) + 2*i(t).\nAnswer: -t**3 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 3*r = m + 1447, 3*m + 3*r = -4329. Let w = m - -2876. Let c = w - 641. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 247112\/(-28) + 3 + (-3)\/(-7). Find the common denominator of r\/1820 + (-6)\/(-21) + 4 and -23\/12.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.5. Let q = -1 - w. Let a be (36\/80)\/((-3)\/(-8)). What is the smallest value in q, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 140\/15)\/(7\/90*(-10)\/(-4))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-4)\/(-1))*(-1)\/1. What is the first derivative of -14 - 2*k**3 + 4 - 26 + j*k**3 + 3*k wrt k?\nAnswer: -6*k**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2 - 4. Suppose 5*k = -3*n + 31, -d*n - 2*n - 5*k = -33. What are the prime factors of 2 - -8 - (2 - n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -40*x**3\/27 + 43*x**2\/3 + 154*x\/9 - 253. Factor l(w).\nAnswer: -2*(w - 7)*(20*w + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.48 - -1.38. Which is the nearest to y? (a) -6 (b) -8\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 560388, 2241573, 5043552, 8966325, 14009892, 20174253, 27459408?\n\"Answer: 560397*g**2 - 6*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*o + 12 = 2*i, -5*o = 4*i + 13. Solve 4*a - 5*m - 37 = 0, 2*a - i*m + 7*m = -14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -529 - 1563 - 882 - 4*j**2 + 5*j**2 to the form k*j + n*j**2 + h and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 3*n = -34, 14*l + 3*n + 35 = 62 + 52 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 5, s: 1, d: 2}. What is prob of picking 2 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 903\/9 - ((-2)\/(-18))\/(11\/33). Calculate the greatest common divisor of m and 7475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s + 17*s + 462*s**3.\nAnswer: 462*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, a: 1, d: 3, w: 5, e: 1, r: 1}. What is prob of picking 1 e, 1 d, and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d. Let m(s) be the second derivative of -s**3\/2 + s**2\/2 - 6*s. Let r(w) = 6*a(w) - 5*m(w). What is the derivative of r(h) wrt h?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4257 + -4257.000006006. Round n to seven decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30bbb (base 16) in base 4?\nAnswer: 300232323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -206 + 210. Let j = 6 - 1. Solve -w*u + 11 = -j for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 2\/9*u**2 + 4\/3*u.\nAnswer: 2*(u + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*g**2 - g**2 - 12*g**2 + 3*g**2.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -17*b**4 - 15*b**3 + 5*b**2. Let d(w) = -33*w**4 - 31*w**3 + 9*w**2. Let c(h) = -3*d(h) + 7*m(h). Factor c(s).\nAnswer: -4*s**2*(s + 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 h when four letters picked without replacement from {h: 2, b: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 13*i + 25. Let v be t(14). Which is greater: v or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:36 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 - -1201?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3410\/9 - -378. Let z be (-60)\/(-80) + 3\/(-4). Which is greater: z or l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2783 is divided by 1391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/32 and 97\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57331*t + 57396*t - 195 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o**2 + 7*o + 5. Let q(b) = -4*b**2 + 4*b + 3. Give 3*c(w) - 5*q(w).\nAnswer: -7*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46035, 184157, 414321, 736497, 1150655, 1656765, 2254797?\nAnswer: 2944721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39099 + 146613 = -1629*k for k.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 2*u + 1. Suppose -2*z = -3*f, -3*z + 11 = 2. Let p be d(f). Solve -p*r + 0*r = 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -31*g**2 + 8. Let n(m) = 32*m**2 - 8. Suppose 2*u = 3 - 13. Let k(a) = u*z(a) - 6*n(a). Differentiate k(w) wrt w.\nAnswer: -74*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 + 55\/20. Suppose 10*r + 9 = 13*r. Suppose -r*u = -q - 6. Calculate the remainder when 5 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302 - -302103?\nAnswer: 301201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14623970 = 9*y - 41010638 - 19117332. What is y rounded to the nearest 100000?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let o = -203 + 205. Let u(z) be the third derivative of 0 + 0*z**4 + 0*z**3 + 0*z + 1\/20*z**5 + 2*z**o. Give p(u(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 7 - (-1 + (-1 + -1 - -7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079285 rounded to three dps?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-81)\/(-18))\/(-2 + 454\/224)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-7)*(-6)\/8)\/(5\/(-6))\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = 821. Let k = 7369\/9 - r. Let t = 733\/24 + -62\/3. Find the common denominator of k and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34214442 (base 5) to base 3\nAnswer: 120110112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/17)*p**13)**(1\/3) assuming p is positive.\nAnswer: p**(223\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24322572*v**3 + 7*v + 2028 wrt v.\nAnswer: -145935432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 3*f**2 - f - 16. Calculate x(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r**2\/8 - 73059*r\/4 - 12177 = 0.\nAnswer: -2\/3, 16236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3803982 by -26.\nAnswer: -146307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 5886.67701 to the nearest 100.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 3*u**2 + 0*u**6 + 0*u**7 - 1\/30*u**5 + 0*u + 0*u**3 - 1\/336*u**8 + 0*u**4 + 0. Find the third derivative of h(a) wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 243\/2, -1\/9, 0.4, -1\/6 in decreasing order.\nAnswer: 243\/2, 4\/5, 0.4, -1\/9, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y. Let t = -12 - -10. Let j(f) = -f. Let b(m) = t*v(m) + 14*j(m). Let u(d) be the first derivative of 15*d**2 + 77. Give u(b(x)).\nAnswer: -60*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(350)*2 + sqrt(350) + (sqrt(350) - (sqrt(350) - 2*sqrt(350)*-1)))\/((1*sqrt(77))\/sqrt(11) - (sqrt(7) - sqrt(175)*2)))**2.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 5*v**2 - 18*v - 80. Let s(b) = b - 10. Let r be s(6). Calculate the lowest common multiple of o(-5) and (r\/(-10))\/((-1)\/(-10)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -807*x = -758*x - 196. Solve -4*a - x*h = 8, -2*a + 0*h + h = -8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 - 4*j**2 - 2*j + 16. Let p(b) = -2*b + 20. Let l be p(8). Let m be o(l). What is the greatest common factor of 54 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 1265.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + g**3 - 2*g**3)*(-g - g - 1 - 3).\nAnswer: 4*g**4 + 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 549 and 537094386?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 57 + 49802?\nAnswer: 49859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 85 times -5\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/2*m**3 + 1 + 5\/2*m**4 - 7\/2*m**2 + 3\/2*m = 0. Calculate m.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/33406695 and 173\/5220.\nAnswer: 133626780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14729113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 9*j - 21. Let u be t(-11). Let i = 28\/11 + -442\/165. Is u at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/11)\/(18\/88)*(-1)\/6.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 - a**2 + 2*a**2 + (-7*a + 4 + 7*a + 2*a + 2*a**2)*(1 + 10 - 3).\nAnswer: 14*a**2 + 16*a + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 30. Let q be (-5222)\/(-98) + 4\/s - 1. Let l = 48 - q. Which is the second biggest value? (a) l (b) -2\/17 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14.9508975 hours?\nAnswer: 0.0889934375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j**0*j)\/j)\/j)\/j)\/(j**(2\/5)*j*j))\/(j\/j**(1\/27))**(-33) assuming j is positive.\nAnswer: j**(1277\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/12 - (19 + (3 - 7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1740*a**2 + 140. Let w(r) = -23*r**2 - 4*r - 5. Let b(q) = 7*q**2 - 2*q - 1. Let t(f) = -2*b(f) + w(f). Give 3*p(k) + 140*t(k).\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1048 + -1030.28. Let w = -18 + f. Let m = w + 0.28000041. What is m rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 80 = -7*q. Let j = 25 - q. Let k(l) = 8*l + 187. Let x be k(-23). Solve j*t - 10 = -0, 4*t = x*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*w**2 - 11256334*w + 33769005*w - 11256334*w - 11256337*w.\nAnswer: -94*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/1*((-9150)\/(-25925))\/((-4)\/(-17)).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38817234 divided by 4.\nAnswer: -19408617\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**4 - 2874216*m**2 + 3322800 wrt m.\nAnswer: -8*m**3 - 5748432*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*j + 36 = 0, s + 4*s = -10*j + 95. Let z(v) be the first derivative of 0*v**2 - s*v - 20\/3*v**3 - 42. Differentiate z(q) with respect to q.\nAnswer: -40*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y + 2. Let v be (9 - 10)*-1*4. Suppose -v - 6 = -5*i. Suppose -3*x + 4*b = 26, -4*b = -i*x - 0*x - 24. Give p(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144562246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 7097.\nAnswer: -12\/7097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361205076 divided by -89.\nAnswer: -4058484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4518114 to the power of 1\/2, to the nearest integer?\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 50?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264133 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 + 465569*z**2 + 1862269*z\/2 - 1396704.\nAnswer: (z - 1)*(z + 3)*(z + 931136)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17617513 and 19336?\nAnswer: 140940104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h + 0*h)*(-5*h - 10*h - 4*h)*(3*h + 3*h - 5*h - 39 - 3*h + 39 + (h - h - h)*(0 + 3 + 2)).\nAnswer: 266*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 61256720.\nAnswer: 61256720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do 581 and 432 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 572 and 3367208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 231*o**2 + 22*o - 51. Let r = 167 - 160. Is a(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 - 60658380*p - 306619922018700.\nAnswer: -3*(p + 10109730)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - 0. Let f = 2.88 - 2.53. Let y = -0.32 + f. Sort -1, y, -0.4, x in descending order.\nAnswer: y, x, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3582 + 0.3591782. What is u rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.034*0.05\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 567058 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 4*p + 4, 0 = -2*v - 9*p + 6*p + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 86.8, 0, 2\/13, 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30572276?\nAnswer: 2, 7, 22283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379865 is divided by 108.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z + 5*u + 17, -2*z - 6 = u. Let h(g) = -26*g - 1. Let s be h(z). Suppose -4*a + 2*j - 15 = -j, 5*j = 2*a + s. Solve a = -0*q + q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 205 and 164?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + 1 - 0\/(-2). Let q be ((-1)\/(-1))\/(7\/14). Let z be 12\/(-8) + 2\/q. Sort z, o, -2\/5.\nAnswer: z, -2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -14. What are the prime factors of (4\/8)\/((-3)\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*r - 0*r. Let w(i) = i**3 - 4*i**2 - 32*i + 5. What is the smallest common multiple of w(-4) and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (102\/(-8))\/((-13)\/(-52)). Let c be (9\/18)\/((-2)\/(-360)). Let p = u + c. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teeeoetoetoet. What is prob of picking 1 t and 3 e?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -15.5.\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 56941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v - 57*v + 18 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(150\/(-44)) - 4\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180)\/sqrt(3) - sqrt(60))*-1)\/sqrt(2))\/((2*sqrt(1000) + sqrt(1000) + sqrt(1000))*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -176, -204, -232, -260, -288, -316?\n\"Answer: -28*r - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 5*c**2 + 118*c - 25. Let m(p) = p**3 + 7*p**2 - 119*p + 31. What is -5*b(l) - 4*m(l)?\nAnswer: l**3 - 3*l**2 - 114*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/27 and -94\/135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 4*r - 4. Let o = 4 - 2. Suppose -5*d = 2*v - 34, 4*v + 22 = -0*d + 5*d. Suppose 0 = c + d - o. Calculate n(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(p - 6*p + 2*p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -4*m**3\/27 + 14*m**2\/9 + 40*m\/3 - 106. Solve k(c) = 0.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/12)\/(1\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28473 is divided by 4707?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7)*q)**(10\/17)\/(q**(3\/7)*(q*q**(2\/13)*q)\/q) assuming q is positive.\nAnswer: q**(-1278\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 114*i**2 + 21*i**2 + 28*i**2 + 48*i**2.\nAnswer: 215*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x - 16. Let n be 3\/(-33)*x\/(-2). Let t(j) = -j**3 + 4*j**2 - 2*j + 4. Let u be t(4). What is the nearest to -2\/3 in u, n, -1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:24 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 537637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 - 112*y + 78440. What is b(-228)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-18))\/(f\/f**(-25)))\/(f\/(f*(f**12\/f)\/f)*f**(-3\/4)*f) assuming f is positive.\nAnswer: f**(-133\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of 23*m**4\/24 - 19*m**3\/6 + 147*m**2. Let c be u(1). Solve 0*i + c*i - 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-10) - (-2268)\/(-60). Let d = a + 33. Put -7, -2, d in decreasing order.\nAnswer: -2, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/60)\/((-3)\/(-30))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 646698, 646690, 646674, 646650, 646618?\nAnswer: 646578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1610218 is divided by 45?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-14) + 696\/168. Suppose h*t = -3*s + 18, s + 41 - 15 = 4*t. Which is smaller: t or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7969, 15939, 23909, 31879, 39849, 47819?\n\"Answer: 7970*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61554006*b + 38510935.\nAnswer: -61554006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47980823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o**2 + 8*o**2 - 8*o**2. Let v be (4\/(-3))\/(6\/(-9)). Let h(x) = v*x - 2*x**2 - 2*x. What is h(q(j))?\nAnswer: -162*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/35 (b) 2 (c) 2\/8947\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 775234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1561 divided by 42718\nAnswer: -1561\/42718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2 - 37. Let r be v(-3). Is r >= -15\/484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -20. Let g be (2 + (-10)\/(-4))\/(-3)*n. Let q be (-2)\/g*(-72)\/(-30). Is q bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -48*l - 14. What is the units digit of p(-23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 8*k**2 + 3*k - 20. Let w be (4\/10)\/((-16)\/(-320)). Let j be c(w). Let y(q) = 25*q + q**3 - j*q**2 - q**2 - 24*q + 6. Give y(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and (-2720)\/(-152) + (-4)\/(-38)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65174780 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 722*r + 112 - 362*r - 364*r. Is w(16) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnvnvxtnnvyeevtetnve. What is prob of picking 1 v, 1 t, and 1 n?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*c + 3*a, -c - 3*a - a - 13 = 0. Let m = -3 + 3. Suppose m = 4*o + o. Is o equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.54315821 to 3 decimal places.\nAnswer: 0.543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 374429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7681442*w**4 - 9*w**3 + 29*w + 1170952 wrt w.\nAnswer: 92177304*w**2 - 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42930?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5\/2 (b) 1046 (c) 4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(343) - (sqrt(343)*-1 - sqrt(343)))*1 - (3*((-1*sqrt(700) - sqrt(700))**2 + sqrt(700)) - sqrt(700))*2.\nAnswer: -16800 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/18*(-24)\/60. Let k(q) be the second derivative of w*q**2 - 1\/90*q**6 + 0 + 1\/60*q**5 + 1\/12*q**4 - 5\/18*q**3 + 7*q. Factor k(p).\nAnswer: -(p - 1)**3*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.054 in 4, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*m + 12. Let x be 3*(-2 + (-88)\/m). Let a = x - 17. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 11*v - 3. Let r be d(12). Let j be (18\/r)\/((-9)\/30). Is (11\/j)\/(2\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3 + 0 - 4. Let b(c) = 5*c**2 - 15. Calculate -b(f) + 15*w(f).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86\/(-26) + 6\/9*(-159)\/(-106) - 0?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/41292048 and -167\/6732.\nAnswer: 1362637584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.7 - -0.7. Which is the nearest to 0.4? (a) 3 (b) p (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19964059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44678?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 16) to base 10\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/30 in -0.5, -111\/8, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**5 + 87*f**3 + f**3 - 150*f**2 + 134*f**4 - 21*f**5 + 86*f**2 = 0.\nAnswer: -1, 0, 4\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(2\/3)\/i*i\/(i*i\/(i\/(i\/i**(-2\/29))))*i*i**(-1\/6)*i*i*i*i**(-6\/11)*i assuming i is positive.\nAnswer: i**(2479\/638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4431 - 2931. Suppose 45*i = -15*i + l. Which is greater: -0.4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13011 is divided by 2598.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 12*t - 36. Let n be o(-6). Suppose -28*b - 4*u + 26 = -23*b, -b - 3*u + 14 = n. Calculate the remainder when 26 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 4*c + 9. Calculate x(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3456.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-6) - 4\/10. Let k = 266\/9 - 2908\/99. What is the third biggest value in k, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 313*c**3 + 14*c**2 + 3*c - 10. Let x(n) = -208*n**3 - 10*n**2 - 2*n + 7. Give 5*h(u) + 7*x(u).\nAnswer: 109*u**3 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crrrcrcrrrr. What is prob of picking 4 r?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 c when three letters picked without replacement from ititiiuvituruicri.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 801\/(-1335)*(408\/31 + -13)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 5*t + 3 - 1, 3*t - 23 = -l. Let i be 3\/(-2) - (9 - l). Let w = 705 + -705.5. Sort i, w, -3, 3.\nAnswer: -3, w, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404316 (base 7) in base 8?\nAnswer: 206230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/((-1196)\/69))\/(-1*6\/100)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9b33d52 + -1?\nAnswer: -9b33d53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**2 + 5*b**2 - 6 + 6.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 22*t**2 + 24*t - 580. Let z be r(-24). Let m = 4 + -5. Which is the second biggest value? (a) 4 (b) z (c) m (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 + 62402*t**2\/3 - 162198386*t - 811512030.\nAnswer: -2*(t - 15603)**2*(t + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 183 = -5*a + 893, 2*t = -3*a + 424. Suppose 112 = 2*m - a. Let p = -23 + 37. Calculate the greatest common factor of m and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 15*f - 2*j = 30*f - 17, 5 = -3*f - 4*j + 48 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5)*x**(-5)\/x)\/(x**3\/(x\/((x\/(x*x*x**(1\/9)*x*x))\/x))))\/((x**(-2\/3)*x)**(-2\/173)*x**(-2\/5)\/(((x\/(x**1*x*x)*x)\/x)\/x*x)) assuming x is positive.\nAnswer: x**(-9163\/1557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 1633\nAnswer: -3266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twu when three letters picked without replacement from uuwtutwtwtuu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15*n**2 - 15*n + 10. Let w(u) = 13*u**2 + 13*u - 10. Let d(f) = -4*o(f) - 5*w(f). Solve d(z) = 0 for z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*v + 16*v + 9*v**2)*(-2 + 0 + 3 + (3 - 2 + 0)*(-3 + 5 + 7)).\nAnswer: 90*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 112*z + 2*z**2 + 113*z - 223*z - 1 + z**2 - z**2 - z**2 + (2*z + 5*z - 5*z)*(-2 - 2*z + 2) + 15*z**2 - 91*z + 91*z.\nAnswer: 12*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*l + 305*l - 105*l = 64*l + 296 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. Suppose -3*m - a*l = -2, 5*l + 43 = -0*m + 2*m. Does 6 divide 6\/m - 32\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*h + 5, 3*h + 1 = -4*v + 2*h. Are 1\/29 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2*t + 2*g*t - 3048967*g + 3327463*t with respect to g.\nAnswer: -4*g*t + 2*t - 3048967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/(-52))\/((-1)\/(-4)). What is the tens digit of (1\/(-1) + 15)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 760 and 130?\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*k - 10*k. Which is greater: -6 or k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15b + -9?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4785*j**2 - 5*j. Let l be t(-1). What is l rounded to the nearest 100?\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 55412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 1. Suppose 2*i + 4*u = -1 + 3, -i - 8 = 5*u. Let m(p) = p - i + 7. What is 4*m(l) - x(l)?\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 5, x: 1, j: 4}. What is prob of picking 1 k and 1 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3 - 0) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 201 (base 9) to base 4\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 9:38 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*p - 6*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 6*z + 7515*z**2 - 7501*z**2 - 3*z.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1610 - 4874*v + 4595*v - 1610.\nAnswer: -279*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 13*l**2 - 5*l + 1. Suppose 4*h - 21 = 5*m, 0 = 4*m - 5*h + 10 + 5. Let a(t) = -t**3 + 7*t**2 + 3*t - 1. Give m*a(w) - 3*c(w).\nAnswer: 2*w**3 + 4*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*k - 1)*(3*k - k - 4*k) + 5 + 4*k**2 - 5 + (5 - 5 + 8*k)*(-2*k - 2*k + 12*k + (5 - 5 + 1)*(-k + k + k)).\nAnswer: 80*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 33 = -3*t. Suppose -t*c - 9*c = 36. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 75348.86 days?\nAnswer: 6510141504000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -64, 0, 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-4 + -1) - 11) + (7 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, 0, 0.173, 1\/25, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c + 4*c - 4*c. Let r(s) = 5*s - 12. Let t(v) = -v + 6. Let u(n) = -2*r(n) - 4*t(n). What is k(u(f))?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 15 + 3 = 0. Let b be -2 + 228\/(-48)*(0 + -4). Suppose 0 = 4*s + b - 33. Solve -p*c = o - s*o, -2 = -3*c + 2*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540\/(-18)*(48\/(-120))\/(6\/5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*10447222.\nAnswer: -4178888.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16029293614781 minus 3?\nAnswer: -16029293614784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 5*d**2\/2 - 4*d - 14. Let o(y) = y - 1. Let i(z) = 9*o(z) - 2*w(z). Let u(p) = 3*p + 4. Determine 9*i(l) + 2*u(l).\nAnswer: -3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(1\/(-5) + 0). Solve 6*h - o = 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3686748323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/578 and 89\/3428016.\nAnswer: 58276272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -4277?\nAnswer: 4272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 5*z + 13, 0*b - 4*z = -b + 8. Calculate the greatest common factor of b and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 1:52 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 + 10*u**2 + 6*u + 34. Let z be q(-5). Solve z*b + 144 = -32*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose w - 2*d - 5 = r, 5*w - 2*w = 3*d + 6. Which is the nearest to w? (a) -2\/9 (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -24 - (-12 - -18)) + -30.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 0 + 20)*(v - 5*v + 5*v)*(-v + 2 - 2).\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 5:31 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 744375 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2023022 (base 4) to base 12\nAnswer: 51a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(98)\/sqrt(7) + (sqrt(14) - (sqrt(126)*1)\/sqrt(9)))\/(-2*sqrt(7)*-4 + sqrt(7) + sqrt(7) + (sqrt(7) - (sqrt(105)\/sqrt(5))\/sqrt(3))) + 1.\nAnswer: 3*sqrt(2)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**5\/20 - x**2. Suppose -3*d = f - 91, 3*f - 143 = 2*d + 119. Let s(g) = -f + 88 - 3*g. What is s(j(b))?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.08 and -3810688307.\nAnswer: -3810688306.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 - 2*w**2)*((1 + 2 - 4)*(0 + 4 - 5) - 2 - 1 + 1) - 8*w**2 + 1 - 3*w**2 + 9*w**2.\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - ((2 + sqrt(108) - sqrt(108) - sqrt(108))*-1 - sqrt(108))**2) + -3*(sqrt(108) - -2*sqrt(108)) + 3.\nAnswer: -48*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 467 + -228. Let p = i + -240. Let w = -0.1 - -0.6. Which is the smallest value? (a) w (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 13*l + 49. Let x be m(16). Solve -5*z - 7*d - x = -3*d, 4 = -z + 3*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 35, -0.5, 9 in descending order.\nAnswer: 35, 9, -0.5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 5. Let x = 8 + u. Let l = 8 - x. Which is the closest to -0.3? (a) -0.1 (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5252441*i + 2791568 wrt i.\nAnswer: 5252441","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 962 + -911 + 0 + -37\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**4 + 914*p**2 + 2*p - 3026.\nAnswer: -36*p**2 + 1828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20123130233 (base 4) in base 11?\nAnswer: 127a102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.17 + 2.17. Which is the second smallest value? (a) 0.3 (b) q (c) 12\/5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 45081 - 90149 + 78*y + y**3 - 18*y**2 + 45075. Determine x(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*r - 5*s, -28 = -r - 4*r - 2*s. Suppose -3*x + 2*m + 0*m + 386 = 0, r*x - 516 = 3*m. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 690 + -688. Let u(p) = 224*p**3 - 4*p**2 + p - 1. Is u(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139101161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2 - 72730*u + 264482645 = 0. What is u?\nAnswer: 7273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-175)\/28 + (-1)\/(-4). Let r(i) = -28*i - 14. What are the prime factors of r(c)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10831 = -275*l + 64244. What is the highest common divisor of 1820 and l?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -11 - ((-6)\/4)\/(10\/20). Let k be x*((-3)\/(-2))\/(-3). Let f = 1 + -0.2. Sort k, -4, f in decreasing order.\nAnswer: k, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 14 = 4*m - 1, 4*m + 12 = 0. Let o be (-5)\/(-2)*(-18)\/15. Let k = w + o. Sort 3, 2, k in ascending order.\nAnswer: k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 11:25 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/39740571 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.1712 - -0.0288. Let h = p - 6.39. What is h rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 6*r**2 - r - 5. Suppose -m = 2*m + 18. Let n be t(m). Let i be n\/(3\/(9 + 0)). Solve -o + i = -4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-z + 2*z - 3*z)*(-4 - 12 + 624*z - 623*z)*(-3 + 2 - 1).\nAnswer: 8*z**2 - 128*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 3*w + 10. Suppose -4220 = -w*t - 820. Round t to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75535912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 24.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26199 at least 27552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/106024 and 63\/13456?\nAnswer: 6149392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-31 + -8 - (12 + -34)) + 1 - -47\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-19)*q*q*q\/(q*q\/q**(-25)*q)*(q\/(q\/(q*q*q**31)))\/(q**(29\/2)*q) assuming q is positive.\nAnswer: q**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1852 - 289 = -45*b + 964 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**3 + 5*y + 1. Let b(n) = -n**3 + n. Let z(j) = -5*b(j) + f(j). Let d be z(1). Solve -5*g - d = -27 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 7*l - 5. Let f = -14 + 19. Suppose 0*j = -f*j - 2*x + 43, -4*j + 3*x + 16 = 0. Give m(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 244 + 52?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5079180*f**2 + 2020*f + 1377 wrt f?\nAnswer: -10158360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7137532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, a: 6, u: 4}. Give prob of picking 1 u and 2 a.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 183187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 2:28 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {w: 3, z: 4, v: 1, c: 1, b: 2, g: 7}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20221022010 (base 3) to base 13.\nAnswer: -4a1c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 4*b + 20, 0 = 2*t - 3*t + b + 3. Let k be t*1 - (-2 + 0). Solve -4*s + k = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*i - 4*c + 8, -5*i - 70 = -5*c. Let k(j) = j**2 + 4*j + 33. What are the prime factors of k(i)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -4*q - 3*h, -3*h = 2*q + h + 28. Let f(a) be the first derivative of -a**3\/3 - 3*a**2 - 2*a + 2. Calculate f(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1284531, -2569002, -3853415, -5137740, -6421947, -7706006, -8989887?\n\"Answer: 5*f**3 - f**2 - 1284503*f - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 242. Is b\/(-70)*14\/4 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 5495221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 + 6 - (-36 + 3). Let d(h) = -h**3 + 6*h**2 + 6*h - 5. Let v be d(5). Let f be y\/v*2\/(-3). Sort -1, f, -2 in decreasing order.\nAnswer: f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6792?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.19 - -12.190000706. What is q rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**4\/4 + 4*v**3\/3 + v**2 + v + 21. Let t be w(-2). Suppose 3150000 = 2*d - t*d. What is d rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j + 15 + 8*j - 36*j**2. Let x(c) = -5*c**2 + 2. Let g = 11 + 4. Give g*x(m) - 2*s(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 0*m - 2*m + 3*m. Let x(i) be the first derivative of i**3\/3 + 3*i**2\/2 - 27. Calculate 3*t(s) - x(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2144a + -41?\nAnswer: 21409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - h**2 + 531*h - 532*h - 5*h**4 - 11*h**3 to the form v*h**2 + w*h**3 + d*h + g + m*h**4 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.26, -1\/5, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1393 and 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66481529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99043463?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1391, 11503, 38929, 92327, 180355, 311671, 494933, 738799?\nAnswer: 1051927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12949555?\nAnswer: 5, 127, 20393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*d = 110*d - 9*f - 40, d - 17*f + 16*f - 4 + 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14325 + -14303. Suppose 5*y = -4*l + 201, 2*y = 4*y - 10. What is the lowest common multiple of u and l?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102927306 to the power of 1\/2, to the nearest integer?\nAnswer: 10145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 171.1 - 172.1. Which is greater: -2\/23919 or o?\nAnswer: -2\/23919","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 23*d**2 + 20*d + 49. Let u be g(22). Let y be 20\/(-6)*(-4 - 2). Calculate the highest common factor of u and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/15 - 4*t**2\/5 - 16*t\/15 = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2520 = 166*f - 160*f + 48. What is the highest common divisor of f and 515?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2246 (base 10) to base 5.\nAnswer: -32441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f - m, 0 = -f - m. Do 2 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/7))\/(r*r**(1\/3)))\/(r**(-2\/3))**6 assuming r is positive.\nAnswer: r**(83\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - -46 - (1 - -1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 - (-9)\/(-135)*-5. Let n be d + (-4 - 4 - -5). Which is bigger: -9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 202, -0.1, 5\/3, 10 in decreasing order.\nAnswer: 202, 10, 5\/3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/2)\/(8\/16). Suppose 5*v = 3*a + 53, 0*v + a + 31 = 3*v. Is v at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqkqeqrkrrrekqeqr.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**3 - 9*p**2 + 8*p. Let c(g) = 82*g**3 + 3*g**2 - 48*g**3 - 37*g**3 + 3*g + 2*g - 9*g**2. What is -8*c(r) + 5*m(r)?\nAnswer: 4*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1580.117 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*s**3*u**3 - 3*s**2*u - u**3 + 7*u**2 wrt s?\nAnswer: 654*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21437676 by -2.\nAnswer: 10718838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 14*q + 10. Suppose -m + 2*w - 20 = -5*m, 4*m - 3*w = q. Solve 0 = -0*g - m*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {x: 2, h: 1, f: 2, n: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3236)\/(-5))\/((-74)\/(-185))?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -7. Let n be 0*(-3)\/(-9) - 3. Sort v, n, -5.\nAnswer: -5, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -283*-0.07\nAnswer: 19.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 4*f - 206, -4*f - 60 - 154 + 46 = -14*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aopoo. What is prob of picking 1 o and 1 a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, 3\/2, 1\/6, 2\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -968881 - -969121.9478. Let d = -241 + n. Round d to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 3 + 1144\/(-264) - 30\/(-9). Solve 9 + 42\/5*k - 3\/5*k**h = 0 for k.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 - 88. Suppose -2*x + 15 = x. Suppose -2*l = -g + 2, -3*g + 15 - 42 = x*l. Sort g, -5, 3, u in descending order.\nAnswer: u, 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:28 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**2*j**2 + 77799*f**2 - 17*f*j**2 - f*j - f - 3*j**2 - 197 wrt f.\nAnswer: 8*j**2 + 155598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 312 - -1142022?\nAnswer: 1142334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*51.6298.\nAnswer: -361.4086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3\/7 + 3*n**2\/7 + 4*n\/7 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m - 36 = 0. Suppose -2*r + 6 = -4*q, -q + 4*q + 5*r + 37 = 0. Let j = q + m. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 29760*a**3 - 922565*a**2 + 892955*a - 150 = 0.\nAnswer: 1\/5952, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2596 - 2593. Suppose 3*o - 3 - 6 = 0. Suppose -o*h - 15 = 2*h, -270 = -a*d - 2*h. What is d rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/12 + 7010*s**2 - 168231*s\/4 + 126171\/2.\nAnswer: -(s - 84114)*(s - 3)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1945*a + 923*a - 781*a - 1357*a - 3 to j*a + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 57 = 2*t, -3*w - 43 - 52 = -5*t. Calculate the lowest common multiple of (3 - 2 - -25) + (-4)\/(-2) and t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3372 = 401*t - 407*t. Calculate the least common multiple of 1*(2 - -21) - 1 and t.\nAnswer: 6182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1290241354?\nAnswer: 2, 317, 2035081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 >= 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 316876 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 10:43 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*z - 43, z - 31 = 4*f - 0. Let p(c) = -c**2 - 10*c - 2. Let b be p(f). Let o = b + -5. Calculate the remainder when 44 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 167236 and 668944?\nAnswer: 668944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 8*(-33)\/6. Suppose -5*s + k = d - 4*d, -d = 4*s - 31. Let j = -21 - -41. Calculate the highest common factor of j and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 447 and 9089.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1505 divided by 35?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 414 - 54. Calculate the least common multiple of 18 and (x\/75)\/(-1 + (-273)\/(-270)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1085335620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6814 - -6921. Calculate the remainder when p is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 46.5. Let z = -0.078 - -6.278. Let t = -6 + z. Which is the third biggest value? (a) n (b) -1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u - 50. Let j(k) = -7*k + 50. Let v(r) = 3*h(r) + 2*j(r). Let o be v(13). Which is the nearest to -5? (a) -0.5 (b) o (c) -3 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-3 - ((-2 - 3) + 3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-4*sqrt(170))\/sqrt(10))**2.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-2)*(-3)\/39. Suppose l + 6 = -l, 3*l - 161 = -5*y. Let s = 237\/7 - y. Put s, o, 0.4 in ascending order.\nAnswer: o, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02506*-3.\nAnswer: -0.07518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 852 - -11?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 20 = 5*o, -3*x - 10*o - 23 = -6*o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d - 4. Calculate o(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/12 + 445\/3. Let p = x + -40. Suppose -p = -3*i + 3. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 10:35 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4651427 is divided by 60?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7497675809?\nAnswer: 13, 59, 787, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 114 = 4*s, 3*s = 7*s - 2*z - 100. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14a617a + 6?\nAnswer: 14a6183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2317 is divided by 104?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**2 + 226*r + 10. Calculate l(-37).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1964.49 rounded to the nearest 10?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1474273 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (285*l - 530 + 530)*(-1 + 0 - 7*l - 2*l).\nAnswer: -2565*l**2 - 285*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*q + 31, 0*z = 4*z + 5*q - 37. Determine c so that -2*c**z + 6*c**4 - 12*c**4 + 6*c**2 + 5*c - 3*c = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2578 + -8?\nAnswer: 2570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 207505 - -4?\nAnswer: 207511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -778989, -1557965, -2336939, -3115911, -3894881, -4673849?\nAnswer: -5452815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/7*(-335)\/1005*91?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(1\/10)*(l\/l**(-3))\/l)\/(((l\/(((l\/(l*l\/(l*l**2)*l))\/l)\/l))\/l*l)\/(l*l**1*l)))**(1\/10))**(-1\/2) assuming l is positive.\nAnswer: l**(-41\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 747664500 divided by 5\nAnswer: 149532900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:08 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12*z + 79. Suppose 500 = -402*r + 98*r - 2540. Determine y(r).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*x. Let j(p) = -p + 6. Let o be j(x). Solve 5*n - o = 3*g - 18, 3*n = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/13727 smaller than 75\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m + 3*m - 1672 = 0. Let v = 12 + -37. Let z = v + m. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 1\/2*t**2 + 0*t - 10. Let m(q) = -5*q**2. Calculate m(d(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*j - 25 = 10, 0 = -3*k - j + 147. Let g = 222 - 92. Calculate the common denominator of -63\/4 and (-27)\/g + 20\/k.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 545983367759 and 0.1.\nAnswer: 545983367759.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164.9911 centuries to millennia.\nAnswer: 16.49911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1129*x**2 + 1766*x**2 + 179*x**2 + 5097*x**2 + (-x**2 - x**2 + 5*x**2)*(-2 + 4 + 0) - x + x**2 + x.\nAnswer: 8178*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6672808357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 914 - 914.4. Let y = 725\/18 + -81\/2. Let h = -53 + 56. What is the nearest to h in 2, q, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**5\/5 + 3*b**4 + 14*b**3 + 26*b**2 + 21*b + 2362. Factor a(f).\nAnswer: (f + 1)**2*(f + 3)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*h**2 - 186*h - 46.\nAnswer: -2*(h + 23)*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 322789894 and 99.3949.\nAnswer: 322789993.3949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 0.145, -1\/7, -1.3, 3754?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178961 is divided by 59639.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1)*1\/(6\/(-30)). Is j at most 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11019, 88076, 297231, 704532, 1376027, 2377764?\nAnswer: 3775791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**3 - 43282*o**2 - 446937*o - 144170 = 0.\nAnswer: -14417, -10, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.37? (a) -1\/18020 (b) -1 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.722 * 359\nAnswer: -977.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from xxxxrrdddxxrxdxxr.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148\/13*f**2 + 240\/13*f + 0 + 10\/13*f**3 + 2\/13*f**4 = 0 for f.\nAnswer: -12, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(700)*6 + 2 - sqrt(700))*-3.\nAnswer: -150*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven halves of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) - (-2)\/(-4). Let j(i) = 5 + i - 1 + i**2 - 2*i - 2. What is j(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 3 (c) 0.119 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 6*6\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-14))\/(9\/(-6))*2. What is the nearest to -0.1 in -3\/2, 2\/11, 6, x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000290705 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11139117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3991702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 289.4 + -337. Let y = -64 - r. Let m = -16 - y. Sort -1.1, 2\/7, m in descending order.\nAnswer: m, 2\/7, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181323 is divided by 743?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + -2.2. Let c = 6 + -5. What is the third smallest value in -3, c, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p = 3*g - 20*p - 14, 4*g + 2*p = 20 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 116 = -18*l, -22 = -26*g + 22*g - 2*l for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1145332224 divided by -3.\nAnswer: -381777408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 2}. Give prob of picking 1 h and 1 n.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 22, 0, 0.21, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28639961 - 28639961 - 30*p**3.\nAnswer: -30*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*h - 26, 0 = z + 4*h - 8. Put 1, z, 5 in descending order.\nAnswer: 5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1948.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -23. Solve t = -4*k - 0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, r: 2, l: 7}. Give prob of sequence rr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 12*k = 91. Suppose -k = 6*d - 43. Solve -2*y + d = 3*a, y - a - 9 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t + 8. Let r be c(2). Suppose 6*i + 6 = -r. Does 20 divide (11 + i - 5)*(17 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(3\/2)*z*z)\/z*z)\/(z\/(z\/(z*z\/(z**17*z))))*(z**(-7))**(-5\/6) assuming z is positive.\nAnswer: z**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r**2 - 4*r**2 - 10*r**2 - 9*r + 43*r**2 - 15*r**2.\nAnswer: -2*r**2 - 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 324385637, 648771274, 973156911, 1297542548, 1621928185?\n\"Answer: 324385637*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1939 or 1947?\nAnswer: 1939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 415\/6 - 69. What is the closest to y in -0.5, 4, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.95 - 0.05. Let x = 2855.2 - 2855. What is the nearest to -1\/4 in x, -3, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 876 - 504. What is the common denominator of ((-3)\/(-12))\/(15\/n) and -43?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 117 + 17 = 3*h, -2*h = 5*z + 118. Let w = z - -13. Let m = w + 24. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.0469\nAnswer: -0.01876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006321078 to 5 dps.\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1005 - -4059\/4. Suppose -3*n = 2 + 1, 4*n = 3*a - 34. What is the common denominator of r and 1 - (-2)\/a*(-559)\/26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 154*y**2 + 141*y + 21633. Calculate t(-154).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -562 (base 16) to base 5.\nAnswer: -21003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(204) - ((sqrt(204) - -3*sqrt(204)) + sqrt(204))))\/(sqrt(972) + (sqrt(972) - (sqrt(972) - -1*sqrt(972))) + sqrt(972)))**2.\nAnswer: 6800\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.5 - 4.77. Let y = w - -0.27000085. What is y rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, h: 4, d: 2, z: 4}. Give prob of sequence zdd.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 20 = -l. Suppose 2*f + 0*f - m = 15, -20 = l*m. Solve 2*g + 19 = 5*z, 2*z - 5*z = -f*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**9*r*r**(-1)\/r)\/(((r**16\/r)\/r)\/r**(-20)))**(10\/13) assuming r is positive.\nAnswer: r**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2 = 4*n, 3*j = -27*n + 24*n. Suppose 8*f = j*f + 186. What is the remainder when 278 is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 2726100.\nAnswer: -7\/2726100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 120, 137, 160, 189, 224?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -y - i + 8, -i + 56 = 5*y. Let a = y + 2. What is the common denominator of -41\/2 and (-1 + (-7)\/(-2))\/(a\/(-20))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 27. Suppose 7*l + 6 = d*l. Which is the biggest value? (a) 2\/3 (b) l (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125929 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 - 0)*(-1594 - -1635).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1\/12, -1.5, -5?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 8519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from {s: 9, b: 5}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z - 15. Let q be b(-6). Let y be (-14)\/q*117\/(-2). What is the greatest common divisor of y and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvfvvvvfvvvf. What is prob of picking 4 v?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2. Let t be ((-3)\/12 - (-12)\/16)*10. Let i(p) = 5*p + 5*p - t*p + 3*p + 2. Calculate y(i(r)).\nAnswer: 64*r**2 + 32*r + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 210?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 542 + -317. What is the highest common divisor of 360 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13878 + 69014\/5. Let s = a + 75. Let d = -5.5 + 0.5. What is the nearest to -1 in s, d, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nine eighths of a microgram?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: 6\/(7*(-318)\/(-15211))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -81044 divided by 40522?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 233847962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3354 (base 6) to base 8\nAnswer: -1426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (231*k**2 + 2*k + 18*k - 1 - 227*k**2)*(1 + 2*k - 1) to the form p*k + q*k**3 + i + l*k**2 and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 631\/1590 + 1\/318. Let w = -0.8 - -0.1. Let t = w + 0.6. Which is the closest to t? (a) 0 (b) u (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06626 and 1255496.\nAnswer: 1255495.93374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-42))\/((-1)\/18). Let c = j - -3\/14. Let g = -0.44 - -5.44. What is the smallest value in g, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 7*g)*(-2*g + 5*g + g)*(13 - 7*g - 13).\nAnswer: -196*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 16) to base 9\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 135690 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 27) + (0 - -3 - 6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*6\/(-60))\/((-14)\/7)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4194 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(208) + 1).\nAnswer: 5 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 3*n - 4. Let v be b(-5). Let o = 8 - v. Solve -4*w + w + o*p = -3, -p - 12 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -248\/17 + 10271\/612. What is the common denominator of i and 59\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204094, -816411, -1836958, -3265741, -5102766, -7348039, -10001566, -13063353?\nAnswer: -16533406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18220527 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 18, -2, 3, -2\/5, 10868?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 10:43 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 252, 271, 322, 417, 568, 787, 1086?\nAnswer: 1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 422.6125895 rounded to 1 decimal place?\nAnswer: 422.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-8)\/5)*15. Let y(f) = -f**3 - 8*f**2 - 8*f - 4. Let x be y(g). Is 4 a factor of (-2)\/(-3) - x\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.9 + 2.1. What is the nearest to 3 in -1, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5 - -4)\/2*-38 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41b6 (base 12) to base 13.\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 5664, -4, -35 in increasing order.\nAnswer: -35, -4, 28, 5664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/13 (b) 0.4 (c) -10507 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 3:18 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 - 4 = m, -3*y = 2*m + 8. Suppose 2*j - 5*k = 13, y*j + 5*k = j - 9. Calculate the remainder when (-133)\/35 + j + 94\/5 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*5\/(-10)*(-30)\/135.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*(-1890)\/2100.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18638, 74572, 167788, 298286?\n\"Answer: 18641*p**2 + 11*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -43. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2 - 2 + 7 + 2*s - 17*s. Let f be k(-3). Suppose 48 = 5*i - f. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**3\/6 - c**2\/2 - 5*c. Let n be r(-1). Let w be (20000\/(-3))\/(n\/204). What is w rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1082*b**5 - 4*b + 68.\nAnswer: -21640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 7, -2, -574, 3, -1.\nAnswer: -574, -3, -2, -1, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 278 + -103. Suppose c = -4*c + k. What is the remainder when c is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = 2. Let p be (-2)\/g + 1 + -1. What is the closest to p in 2, 0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > -798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3 + 10 - 17*o - 2*o**2 + 34 - 19. Give w(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -127*d**3 + 194*d**3 - 193*d**3 - 37*d + 1152 - 108*d**3 - 29*d**4 - 187*d - 664*d**2 - d**5 = 0?\nAnswer: -18, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*h + 31*h + 724 + 283 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2. Let m(d) = d. Let y(q) = -2*q**3 - q**2 + 2. Let w be y(0). Determine w*m(o) + s(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, e: 5}. Give prob of picking 2 m and 2 e.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -595, -2012, -4777, -9340, -16151, -25660?\nAnswer: -38317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/((-12)\/(4 + 0)) - (-4 - -2)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -92*o**2 + 92*o**2 + 6*o**4 + (3*o - o + 0*o)*(-o**3 + o**3 - o**3) + 16*o**2 - 16*o**2 - 30*o**4.\nAnswer: -26*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24745079654 take away 0.5?\nAnswer: -24745079654.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13.9 - 15.9. Which is the smallest value? (a) s (b) -61 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*r - 55*r = -295*r + 3039 + 1301 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 2*u + 14, -7*b + 24 = -2*b - 4*u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 10*w. What is the units digit of k(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13867 or -13864?\nAnswer: -13867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 11*c**2 + 9*c + 6. Let y be m(-10). Let g be (-6)\/4*y\/(-12). Find the third derivative of -4*u**4 + 2*u**g - u**4 + 3*u**4 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408623 is divided by 2186?\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2032)\/(-32) - 104)*72\/81.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4 + 10 = 0. Let z be ((-3)\/2)\/((-3)\/8). Suppose -m + 3*n = 4 - 10, 0 = -4*m - z*n + 8. What is the smallest value in m, -1\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10718863*0.5\nAnswer: 5359431.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/5026 and -107\/2154.\nAnswer: 15078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 115, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.0000029. What is j rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 6:39 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**3*f**3 - 2*a**3*f**2 - 5*a**3 + 15*a**2*f**3 - 5*a**2*f - 33*a**2 + a*f**3 + 830*f**3 - 2*f**2 wrt f?\nAnswer: 18*a**3 + 90*a**2 + 6*a + 4980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1538250*w - 3*w**3 + 2*w**4 - 2 - 1538249*w + w**3 + 26*w**2 to n*w**3 + k + p*w**2 + u*w + r*w**4 and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o**2 + 808*o + 41145. Determine b(-70).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1325 + -724. List the prime factors of r.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 252 - 116. Let i = t + -70. Let j = i + -65.9988. What is j rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 30*n**2 + 4*n - 5. Let q be k(-4). Suppose -r - 2*u + 405 = 0, -5*r + u + q = -1588. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 3:41 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 g when three letters picked without replacement from bbgbqgogbgbbk?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27995 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7)\/r*(r\/r**(-1\/7))\/r)\/((r*r**1*r)\/r)**(-1\/18)*(r**(3\/8)\/(r*((r\/r**1)\/r*r)\/r*r))\/(r\/(r*r**(-1\/2)*r*r))**(3\/7) assuming r is positive.\nAnswer: r**(-223\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148402000 rounded to the nearest 100000?\nAnswer: 148400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p. Let l(o) be the first derivative of -o**2\/2 - 14. Calculate -b(g) - 2*l(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(68) + sqrt(68) + 3*sqrt(68)*-6 + sqrt(68) - (sqrt(68) - (sqrt(68) + 5*sqrt(68)*1)))\/(-4*-3*sqrt(324)*5))**2.\nAnswer: -17\/972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/((-4)\/16)*45*190\/(-12825)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + 55 + -62.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-9)\/d*d*d**7*d*d**9\/d*d**11 assuming d is positive.\nAnswer: d**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 - 10*n**2 + 7*n**2 - 6*n**2 + 13*n**3.\nAnswer: 13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 88 = 9*h. Let x be (-3)\/(15\/(h\/8)). Which is the closest to 0? (a) 3 (b) 0.3 (c) -0.07 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 256, 249, 212, 133, 0, -199?\n\"Answer: -2*a**3 - 3*a**2 + 16*a + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.6108298 months?\nAnswer: 0.00021756915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**2\/4 - 49907*l\/4 - 12477 = 0.\nAnswer: -1, 49908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -20, -5, -1, -664 in ascending order.\nAnswer: -664, -20, -5, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.600915 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(1\/3))\/a*a)**40\/(a*a\/a**(-4)*a*a\/(a*a**(-2)*a)))\/((a**(2\/5)\/a)**(-49))**(-24) assuming a is positive.\nAnswer: a**(10864\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1343, 0.2, 5, -0.5, 4, -1\/9 in descending order.\nAnswer: 1343, 5, 4, 0.2, -1\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 7*v**2 - 6*v + 8. Suppose 0 = 3*q + 2*t - 23, 2*t + 13 = 3*q + 6*t. Let m = 17 - q. Calculate o(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1250) - (sqrt(2) + -1 + 4))**2.\nAnswer: -144*sqrt(2) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.096 >= 111\/4220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from yemiymeee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2576077224 to the nearest integer?\nAnswer: 50755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**5 + 174*x**4 + 1446*x**3 - 10052*x**2 + 4800*x + 16128 = 0.\nAnswer: -24, -1, 2, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 640*x + 597*x + 1465*x as q*x + b and give q.\nAnswer: 2702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.053, 0.01, -4, -3, -5, 48?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 300.51 from 24121192570.\nAnswer: 24121192269.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 387233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 161, 207, 269, 335, 393, 431?\n\"Answer: -2*l**3 + 20*l**2 + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 43 = 112, 36*q - 13*q - 2*t = 12*q + 10*q - 47 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72044475 - 105207557. Let x = 33163082.16000007 + z. Let q = x - 0.16. What is q rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 353 + -349. Suppose -5*m - 4*h = 13, -5*h = -2*m + 7 + 1. Which is the nearest to m? (a) 3\/5 (b) 4\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 20, -2*o - n = -2 - 1. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35224820.\nAnswer: 2, 5, 673, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4, 4*q - 5*g = -334 - 227. Is -141 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -1\/5, -0.21, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000021120021 (base 3) in base 2?\nAnswer: -11000010110010011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + (sqrt(32)*3)**2 - (-5*sqrt(10)\/sqrt(5) + sqrt(2))**2.\nAnswer: 4*sqrt(2) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -10*x**2 + 2689*x + 78. Determine g(269).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -38e + -6?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + ((sqrt(275) - 1*sqrt(275))*4 - sqrt(275)) + 3 + 1*(sqrt(275) + (sqrt(275) - (-4 + sqrt(275)))) + -3)**2.\nAnswer: 40*sqrt(11) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56 + 39 + 43 - 42*w wrt w.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9373 * -1.\nAnswer: 9373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence syz when three letters picked without replacement from zmamyszfzayf.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + -82.7. Let g = -2.4 + n. Let i = 2 - g. Are i and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -56*s**3 + 12*s**2 + 19*s - 2. Is q(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4984)\/(-196)*(15\/10 + -5)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -26.16. Let m = w + -0.16. Which is the nearest to 2\/3? (a) 0.5 (b) m (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-1) - (-2 + 3). Let y = 0 + 4. Suppose 0*c - 4 = -y*c. Put s, 3, c in ascending order.\nAnswer: s, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -0.4. Let z = -5.9206 + -0.0794. Which is the closest to f? (a) z (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21340?\nAnswer: 2, 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujuqkquul. What is prob of sequence uq?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h + 92 = 19*h + 2*x, 4*x = -h - 61. Let v = 101 + h. What is the remainder when v is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*h = -13 - 2, -4*l + 16 = -2*h. Let f be l\/(-4) - 55\/(-20). Calculate the greatest common divisor of f and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 32756 - 32759 = 0. Let j(k) = k**3 + 4*k**2 + 3*k + 4. Suppose 3*c + 12 = -c. Let p be j(c). Calculate the greatest common divisor of p and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/77)\/(62\/(-38192)*22)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 12 = 3*m, 6 = 2*n + 5*m - 14. Suppose n = 2*r - 3*r + 2. What is the units digit of r\/(-3) + (-10)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-2*a**2 + a**2 + 3*a**2) - 2 + 2*a**2 + 2 - 7*a**2 + 2*a**2 - 3*a**2 - 3 - 460*a**2 + 1 + 312*a**2.\nAnswer: -150*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 80 = 14*s. Suppose -s*l + 326 = 106. Solve 5*w - 3 - l = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 = -3*i, -i + 0*a + 8 = -a. Suppose -4*d - r + 33 = 0, -5*r + 24 + 29 = i*d. Let h(x) = -x + 15. What is the units digit of h(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/21 - (28\/12 + -3). Which is greater: -2\/431 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-2)*4\/1. Let u be y\/8*(3 + -7). Solve -2 + 27 = -u*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/72*3*(-3)\/2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:26 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*y - 122. Let b = -51 - y. Let w(d) = -d**2 + 7*d - 4. Give w(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 278 - 277.9999666. Round q to six decimal places.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w. Let n be (-3)\/(30\/80) - -10. Let q(g) be the first derivative of -5 + 0*g - 3\/2*g**n. Calculate v(q(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 2*q + 1. Let c(j) = j**4 - 5*j**3 - 27*j**2 - 26*j + 5. Let v(f) = -c(f) + 5*o(f). Factor v(z).\nAnswer: -z*(z - 9)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 7*z**2 - 17*z - 10. Suppose -35 = 3*k - b, -3*k - 4*b = -6*k - 32. Is l(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j. Let u(p) = -213*p**2 - 12*p + 2. Calculate 6*h(w) - u(w).\nAnswer: 213*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 15*k**2 - 2*k + 34. Let q = 43 - 21. What is the least common multiple of a(15) and q?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 10*y + 12*y + 0*y + 0*y + 2*y + 6*y + 0*y + 3*y + (-2 + y + 2)*(-2 + 1 + 3).\nAnswer: 37*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -9*u + 3. Let o(k) = 8*k - 2. Let l(r) = -2*j(r) - 3*o(r). Let x be l(9). What is the common denominator of -149\/18 and (-5085)\/x*3\/50?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*h + 2774 - 1036 = -698 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*57*(-4 - -3). Let d(f) = -f**3 + 2*f - 21. Let m be d(0). Let j = m + w. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123705989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 17*q + 55. Let c be n(-4). Solve c - 1 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 786163 and 455791?\nAnswer: 3059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 10*s + 2)*(-237 + 157 - 310) to the form z + q*s and give q.\nAnswer: -3900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4288248 (base 10) to base 4.\nAnswer: -100112323320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004851693 to 7 decimal places.\nAnswer: -0.0000485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3168 - 15*v**3 + 332 - 3500.\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157, -604, -1349, -2392, -3733, -5372?\nAnswer: -7309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1442 is divided by 155?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n + n - n**3 - 3*n**2 + 3 - 5. Suppose -2*k + 16 = -3*z, 53*k - 52*k + 6 = -2*z. Calculate a(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16612aa - 24?\nAnswer: -1661312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (6 - (-1 + 11) - -11 - -44 - 0).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 63\/35*10\/3. Suppose c = -v + 9. What is the nearest to 1 in 0.5, -0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 + 2*y**3 + (-y + y - y)*(-4*y**2 + y**2 + y**2) + 2*y - y**3 - 2*y.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -31*s**3 - 5*s - 3. Let d(a) = -94*a**3 + a**2 - 15*a - 9. Determine 2*d(z) - 7*r(z).\nAnswer: 29*z**3 + 2*z**2 + 5*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3220*j - 116667 - 127443 = 7050 for j.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 + -84. Sort -12, j, 4.\nAnswer: -12, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2 and -11\/7594.\nAnswer: 7594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7936\/17856)\/((-12)\/(-351))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3*w - 4*w + 87, -3*w = u - 45. Calculate the remainder when 6854 is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3.34, -14, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27848 or -41849?\nAnswer: -27848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*s - 980 = 35*s + 45*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.04209698 take away -49.42?\nAnswer: 67.46209698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*a**2 + 50*a**2 - 97*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 843.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25844145329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3255 and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-6)\/(-4)*(-126)\/(-7) and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from ffkhfqfffhfffqqqf?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 320.94 rounded to the nearest ten?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, j: 9}. What is prob of picking 2 j and 1 l?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 207, 0.2, -0.1?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 - 67210*h + 335925.\nAnswer: 5*(h - 13437)*(h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -132*q**2. Let z(r) = 5*r. Give z(c(d)).\nAnswer: -660*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19353*t**3 + 9675*t**3 + 9676*t**3 - 2*t**3 + 0*t**2 + 0*t**2 + (-2*t + 4*t + 0*t)*(1 - 1 - t**2).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 58*a - 333. Let j be 6 + -3 + (4 - 1). Let h be g(j). Solve -h*d = -6*d + 36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*p**3 + 103*p**3 + 1 + 2*p + 1 - 1 - 39*p**2 in the form y*p + h + l*p**2 + z*p**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 990\/(-36)*(0 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2\/2521 (c) 5\/2 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000162 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -37694.089 rounded to the nearest 1000?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -451 - -440. Which is the nearest to -2\/9? (a) m (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from {s: 1, a: 1, m: 2, i: 1, y: 2, q: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(((-34)\/1)\/(((-99)\/9)\/(-22))).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 240 = 238. Suppose -44 = -2*l - x*d, -3*l - 17*d + 51 = -19*d. Solve -4*v = 7 - l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 1. Let w(b) = -56*b + 8. Let y(l) = -16*v(l) - 2*w(l). Let s(h) be the first derivative of -h**3\/3 - 64. What is s(y(r))?\nAnswer: -16384*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + o)*(1 + 1 - 1)*(0 + 5 - 4)*(-1 + 1 + o) + (0*o**2 - 21*o**2 + 10*o**2)*(-1 + 3 - 4) + 2 - 2 + 4*o**2 as u*o + h + v*o**2 and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163813 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.01, -3, -0.3, -111?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1394, -1405, -1428, -1469, -1534?\n\"Answer: -a**3 - 4*a - 1389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = -15. Is s at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0038172 rounded to 4 decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87 by 29.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 - -125. Let i be (-8)\/(-1)*(a - 2). Let v be i\/36 + 2\/9. Calculate the highest common divisor of 84 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 + 3*p - 3*p + (-3*p + 2*p + 0*p)*(3 - 3 + 2*p) - 5*p**2 + 15*p**2 - 2*p**2 + (3 + p - 3)*(-3*p + 0*p + 30*p + 13*p).\nAnswer: 49*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.041914 - -1867.12167\nAnswer: 1867.163584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 56\/(-20) + (-2)\/(-15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in sixty-one halves of a millimeter?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 1. Let m be t(-4). Suppose c - 12 = 2*w + m*c, 4*w = -3*c - 4. Let j be w\/(-11) - 210\/(-66). Solve 8 = -j*x + x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6 = 2. Calculate the highest common divisor of c and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25, -100, -275, -574, -1021, -1640, -2455, -3490?\n\"Answer: -4*j**3 - 26*j**2 + 31*j - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 537027 - 3136?\nAnswer: 533671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w - 21*w + 32*w**2.\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d + 2*d - 2*d)*(5 - 3 + 1) + (4 - 3 + 1)*(4*d + 2 - 2)*(47 + 32 - 101))*(0*d - 2*d + 4*d).\nAnswer: -358*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/6 + 28\/(-8) + 0. What is the nearest to -1 in p, -333, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -495554 divided by -3\nAnswer: 495554\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -117*z + 1185. What is t(10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20*(-14 + (-108)\/(-10)). Is m less than -447\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -7. Suppose l - 7 = 2*l - 5*h, u*l + h = 17. Let -l + 4*b - b**2 - b + 1 = 0. Calculate b.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 95 = 3*k + 46*k - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, h: 6, g: 2}. Give prob of sequence dg.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-3 + (-32)\/(-10)). Let u be 3\/(-4) - g*9\/(-24). Suppose -4*z + 20 = z. Solve -z = -2*p, u*r + p - 3*p = 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x = 4*x + f + 16, 5*f = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/10 (b) 4 (c) 1\/4 (d) -7\/3 (e) -138.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82228233 or -82228232?\nAnswer: -82228232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -118308.8647 to the nearest 1000.\nAnswer: -118000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 8) to base 5.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, d: 11, t: 2}. What is prob of sequence dsdt?\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347*b**2 + 176*b**2 + 472*b**2 - 37*b**2.\nAnswer: 958*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*g = -19, -3*v + 8 - 2 = 3*g. Suppose h - 6*u = -3*u + 14, 2*h = 4*u + 22. Let q be h*4\/(12\/3). Solve 2*t = s + 8, 0*t + q = 5*t + v*s for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 12*x + 24*x + 21*x - 5 + 5.\nAnswer: 40*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((5 - 1) + -9). Let j(o) = -30*o - 21. Let u be j(f). Let n = u + 323. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36418955*d**4 + d**2 - 22974760 wrt d?\nAnswer: -874054920*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 2*q - q - 3*q - 2*q + 4*q + (4 - 1 - 1)*(-2 + 2 + q) + 2*q + 4*q - 5*q)*((0 - 3 + 2)*(5 + 18 + 1) - 3 + 1 - 1) in the form t + o*q and give o.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 52161352?\nAnswer: 52161352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 2*l**7\/315 - 2*l**5\/45 + 2*l**3\/9 + 3*l**2. Factor r(t).\nAnswer: 4*(t - 1)**2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13 + 1 + 8 + -19 + 12. Are 33 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 - m**2 + 4*m. Calculate l(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46\/195 - 1816\/39. Let y = 47 + d. Is 1 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1437 and -9907009.\nAnswer: -9905572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4136 and 16676.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(429)\/sqrt(396))\/(sqrt(3) - sqrt(12)\/(-5*sqrt(4))).\nAnswer: 5*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17058548 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(v*v**(2\/7)))\/v)\/v*v)\/v*v)**4\/(v*(v**(-2\/7)\/v)\/v)**(-10))\/((v**(-1\/3))**(-44))**(-14\/9) assuming v is positive.\nAnswer: v**(130\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -192*m - 600. Let y be q(-22). What is the greatest common factor of y and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -832, -1612, -2392, -3172, -3952, -4732?\nAnswer: -5512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 4*k + 1. Let i be z(3). Suppose -5*d + i*b = -2 + 33, -3*d - 2*b - 1 = 0. Let h be 1\/3 + (-2)\/15. What is the closest to 1\/2 in -2, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**3\/3 - 11*k**2\/2 + 13*k + 2. Let s be c(10). Suppose t + 3*v + 0 = 12, -s*v - 24 = -2*t. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22155*d**6 - 13*d**3*m - 2*d**2*m + 15582*d**2 wrt d.\nAnswer: -2658600*d**3 - 78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(3 + 11\/(-4)). Let u(q) = -q**g - 2*q + 0*q**2 + q - 105*q**3 + 9 + 104*q**3. Determine u(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - g**2 + 4*g. Let k(j) = -4*j**3 - 11*j**2 - 20*j. Let u(x) = -x**3 + 4*x**2 + 9*x - 51. Let o be u(4). Let m(c) = o*v(c) - 3*k(c). Factor m(a).\nAnswer: -3*a**2*(a - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-293536)\/24)\/(8*5\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 264?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1089 and 10692.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 divided by 100?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70\/(-4)*(-24)\/15. Let t be ((-20)\/a - -3) + (-2)\/7. Suppose -t*m - 4*s + 0 + 34 = 0, -s + 61 = 3*m. Calculate the greatest common factor of m and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.05 + -24. Let n = u + -0.01. Let r be 1 - ((-13)\/(-11) + 0). Which is the smallest value? (a) r (b) -2\/13 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*1*21\/(-7). Let c = g + 5. Let i = -10 - c. Let d(r) = r - 3. Give d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b. Let d(w) = -139930*w**2. Determine f(d(s)).\nAnswer: -1119440*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*m, -k - 3*m + 0 = 20. Let f = 2 - k. Let j = 46 - 26. Calculate the remainder when j is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 - -116466?\nAnswer: 116443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -847*w. Let t(o) = -o - 3. Let p(v) = v + 5. Let u(k) = -3*p(k) - 5*t(k). Determine x(u(y)).\nAnswer: -1694*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 2*x + 4. Let d be l(-4). Let p = d + -24. Let v(c) = -7*c - 6*c - p*c + 7*c. Let y(b) = 2*b**2. Determine v(y(m)).\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*n = 47 + 5, -x + 3*n = 6. Let b be 506\/99 + (-1)\/x. Let r(q) = q + 6. Let p be r(-6). Solve 5*t + 4*z = -35, p = b*t + 4*z + z + 40 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 13*d - 3. Let i(t) = t**3 + 2*t**2 - 9*t - 2. Let q be i(-4). Let k(z) = -6*z + 1. What is q*o(w) + 5*k(w)?\nAnswer: -4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*p = 12, -i - 167 = -3*p - 176 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366014736 to the nearest integer?\nAnswer: 19132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28894, 32657, 36420, 40183?\n\"Answer: 3763*z + 25131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -382 or -18010\/47?\nAnswer: -18010\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 243137 + 1893137. Let a be (800\/3)\/(4\/g). What is a rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.2, -3, 34\/7, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 104\/308*(1749 - 1738)\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 0*r**3 + 0*r**4 - 1\/60*r**6 + 1\/168*r**7 + 0*r**2 - 8 - 4*r + 0*r**5. Let k(z) be the first derivative of y(z). Factor k(l).\nAnswer: l**4*(l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 58*u**2 + 162*u + 181. Give v(55).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 52*w - 1. Let q(n) = -313*n - 23. Let k(a) = -6*h(a) - q(a). Give k(-11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 4971122\nAnswer: 4971122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*c - 23*c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 1, -4\/5, -10519\/3 in increasing order.\nAnswer: -10519\/3, -3\/2, -4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442226667.\nAnswer: 3, 4201, 35089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**4 - 6*y**4 + y**4 + 2*y**4 - y**2 - 3*y**4 + 2*y**2 + (2*y**3 - 2*y**3 + y**3)*(3*y - 6*y + 2*y) + 6*y**4 - 2*y**4 + 0*y**4.\nAnswer: -8*y**4 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Suppose s*u = -4*w + 816, -4*u = -4*w + 178 - 986. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -7 + (-4 - -16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2904*m - 8708. Calculate k(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + t + 226. Let c be b(0). Suppose -2*y + 208 = -3*i, 86 = 3*y + 3*i - c. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8800 and 855195.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - h + 5 = 0, h - 6*h - 5 = 5*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -771*p + 770*p + 30, -4*p + 3*d = -18 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 1293387?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 17*b + 3. Let j be c(-17). Determine z, given that 17*z + 38*z**4 + 9*z**5 + 2 + 48*z**2 + 38*z**3 + 6*z**j + 18*z**3 = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1 - 1 - (17 + -19).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -456151, -456146, -456141, -456136, -456131?\n\"Answer: 5*k - 456156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/10092 and -99\/8.\nAnswer: 20184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 684 - 680. Let x(p) be the first derivative of 0*p + 0*p**5 + 0*p**l - 4 + 0*p**6 + p**3 + 0*p**2 - 2\/7*p**7. Find the third derivative of x(h) wrt h.\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Let r(v) be the first derivative of v**4\/4 - 4*v**3\/3 + 3*v**2\/2 + 2*v + 1. Let p be r(i). Solve p*f - 12 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*3*130\/12. Suppose -145*q**3 - 53*q - 45*q**4 - 195*q**2 + c*q**5 + 0*q**2 - 37*q - 70*q**5 = 0. What is q?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + -3*2\/(-3). Does 21 divide 3*k\/((-27)\/141)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l**3 - 6*l. Let w(p) = 4*p**3 - 5*p - 2. Let o(y) = y**3 + 1. Let u(h) = 2*o(h) + w(h). Give -5*d(i) + 6*u(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12*q**3 - 11*q + 10. Let g(t) = -t**3 - t + 1. Give -4*c(j) + 44*g(j).\nAnswer: 4*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7134, -7330, -7658, -8118, -8710?\nAnswer: -9434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9396000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -172 + 253. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 9, r = x - 3*x - 4. Solve -42 = -r*f - 46 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 116, 610, 1432, 2582, 4060, 5866, 8000?\n\"Answer: 164*r**2 + 2*r - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*m**5*v - 7*m**2*v - 2*m*v + 90*m wrt m.\nAnswer: -340*m**3*v - 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -381055298 divided by -494\nAnswer: 771367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*u = -114, -g + 3*u + 12 = -u. Let y = 95\/4 - g. Let b = 32075 + -32075.07. Sort b, 2\/7, y, 5.\nAnswer: y, b, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**2 - 5*b - 13. Let q(f) = -5*f**2 - 4*f - 14. Let l(p) = -3*q(p) + 4*t(p). Let k be l(-4). Let g(u) = 2*u - 8. Give g(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/88830 and -41\/1935.\nAnswer: 3819690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - i - 23 = 6, -w - 2*i - 13 = 0. Let u(j) = -2*j**3 - 5*j**2 + j**3 + 2 + 2. Calculate u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, w: 1, e: 2, m: 1, j: 1, p: 2}. Give prob of sequence ppj.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6)\/((-1)\/(-66)). Suppose 3*k - 332 = y, y - 203 = -4*k + 235. Is 4\/c + 74670\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + q + q)*(-151*q**3 - 9234*q**2 + 9234*q**2) to l*q**2 + m*q + d*q**3 + p*q**4 + y and give p.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22434 + 524140?\nAnswer: 501302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 6) to base 16.\nAnswer: fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126293030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) 118 (c) 66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.437? (a) -8 (b) -4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7c7 + 9d0d?\nAnswer: 9526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 23 = 3*n + 2*r, -5*n + 26 = -r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3685*j**3 - 231*j**2 - 231*j + 77. Let r(c) = 194*c**3 + 12*c**2 + 12*c - 4. Calculate -4*g(d) - 77*r(d).\nAnswer: -198*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5382137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2710 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34875909 + 16*k**2 - 34875909.\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/62039?\nAnswer: -3\/62039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 94038 and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1648897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 8*f**2 - 129*f - 1045. Calculate n(-9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104161 or 104269?\nAnswer: 104161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {e: 2, c: 1, v: 1, t: 9, r: 1, m: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m + 3*m)*(3*m**3 + 2*m**4 - 3*m**3) + m**5 + 7*m**5 - 2*m**5 + m**5 + 3*m**2 - 3*m**2.\nAnswer: 11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 1.419.\nAnswer: 5.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 10 - 3*c**2 - 23.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 8 - 18. Solve 12 = -j*q - 13 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(55\/(-20) - -2). Let v(o) = -o**3 - 6*o**2 - 7*o - 5. Let w be v(-5). What is the nearest to 1 in y, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nddd when four letters picked without replacement from ndnndddnndddd?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 4*l**5 - 19216*l**4 + 30661728*l**3 - 16073972504*l**2 - 280898142628*l - 697199251224 = 0.\nAnswer: -14, -3, 1607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2 = -3*o, -4*o + 5 - 12 = -u. Let n be o*1 - (-11 + 8). Put -3, 0, n in decreasing order.\nAnswer: n, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 2*v - 3. Suppose 2*z + 4*r = 16, 4*z - 18 = -z + r. Suppose 2*y + 20 = -3*o + z, -o - 17 = 3*y. What is w(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 12 = -2*z, 165*c - 7 = 163*c - z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 0. Let g(l) = -l. Let q be g(1). Let u = j + q. Solve u = 5*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30826290 rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 6316, 9\/8, 0, 0.1, -10, -5 in descending order.\nAnswer: 6316, 9\/8, 0.1, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 149*q + 150*q + 94 = 0, -28 = -b + 2*q. Calculate the least common multiple of b and 72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Suppose 3*v = -5*c + 20, -q*c - 44 = -v - 3*v. Let r = -8 + v. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-27))\/(3070\/(-102231)))\/((-56)\/30 - -2)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -5, -462, -1\/2, -2\/11, -41?\nAnswer: -462","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -16 + (-4)\/(4 - 2). Let l = h + 30. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4622644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j + 3. Let m be (-26)\/7 - (-6)\/(-21). Let n be y(m). Let c = -2 + n. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15\/1018 (b) 3\/8 (c) 4 (d) -4 (e) -1 (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u - 4*u - 6*u + 2*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhh. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/((1573\/26)\/(-121)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4920, -12813, -23626, -37353, -53988?\nAnswer: -73525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 292a (base 16) to base 6\nAnswer: 120442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4212 = q - 3*h, 5*q - 13416 = 2*h + 7631. List the prime factors of q.\nAnswer: 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*b = 446, b - 51 = 3*y + 296. Which is greater: -229\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 515548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*n + 38, -4*r + 82 = -r + 2*n. Find the first derivative of h - 12 + r - 14 wrt h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-4 + 8\/4). Solve 0 = 2*y - 2*l - 12, p*y + 5*l + 21 = 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 113, -4\/7, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**9\/252 - 13*r**6\/30 + 19*r**5\/60 + r**3\/2 - 35*r**2. What is the third derivative of j(n) wrt n?\nAnswer: 240*n**3 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 420 and 22456790.\nAnswer: 943185180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/5 (c) -1426 (d) -2\/59 (e) 3 (f) 2\/9 (g) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*z**2 + z**2 + 26 - 34 wrt z.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from {t: 2, l: 11}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**5\/20 - y**4\/3 + y**3\/3 - y**2 - y + 3. Let v(g) be the first derivative of a(g). Determine v(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 1862, 9, 5 in increasing order.\nAnswer: -1, 1, 5, 9, 1862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 6:07 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027297845 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1886 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 703 - 701. Factor 64*h**3 - 4*h**4 - 127*h**j + 172*h + 64*h**2 - 58 - 117*h**2 + 2*h**4 + 4*h.\nAnswer: -2*(h - 29)*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19643 or -19574?\nAnswer: -19643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71196 by 12.\nAnswer: 5933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(320) + sqrt(320) + (1*-2*sqrt(320) - sqrt(320)))*4 + ((sqrt(320) - (-1 + sqrt(320))) + -2 - (-3 + sqrt(320)*1)))*2)**2.\nAnswer: -640*sqrt(5) + 32016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 232 or 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -981, -982, -985, -990, -997, -1006, -1017?\n\"Answer: -a**2 + 2*a - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 801455537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4615431183.\nAnswer: 3, 11, 23, 71, 28549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10882\/3 - -3628. Find n, given that q*n**2 - 2\/3 + 2\/9*n - 2\/9*n**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**5 + 5*s**4 + 938*s**3 + 2*s**2 - 611*s - 1?\nAnswer: 120*s**2 + 120*s + 5628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwtw when four letters picked without replacement from {w: 4, l: 2, j: 3, t: 6}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 25*v - 16. What is the units digit of b(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26432, -26623, -26814, -27005, -27196, -27387?\nAnswer: -27578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (3 - 1)\/2. Suppose -r*c - 2*t = -34, 5*c + 2*t - t = 50. Let q = c - 6. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (-29)\/5) + (-6)\/(-30). Suppose -4*k = p + 5, 0 = 3*k - m*k + 4. Let d(z) = z**3 + 9*z**2 + 4. Determine d(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1377895?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/14*2)\/(-1))\/(6*42\/(-8)).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 291606 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 + 1)*(-6 - 5 + 9)*(4*h**5 + 0*h**2 + 0*h**2).\nAnswer: -88*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 0*i**6 + 0 + 0*i**3 + 0*i**2 - 11\/6*i**4 + 1\/14*i**7 - 7\/5*i**5 - 58*i. Find the third derivative of h(n) wrt n.\nAnswer: 180*n**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/((n**(-6\/7)\/n)\/n*n))**50\/(n**(-1\/8)*n*n**1)**32 assuming n is positive.\nAnswer: n**(580\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28401 divided by -4?\nAnswer: -28401\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -32*t. Let p be o(-1). Let g = -22 + p. Solve -4*m - 2*q = g, m = -q + 2 - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = b + 2*o - 50, -b + 3*o + 26 = 0. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 0*h - 1\/2520*h**6 + 1\/84*h**4 - 9*h**3 + 21 + 1\/840*h**5 + 0*h**2. Let t(u) be the third derivative of c(u). Factor t(v).\nAnswer: -(v - 2)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 177 - 193.4. Let i = -16.09 + 0.09. Let d = i - u. What is the second smallest value in -0.4, 6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -388\/3 - -130. Put o, -30, 0.4, 0.3 in decreasing order.\nAnswer: o, 0.4, 0.3, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 72 + 78. Solve 0 = -4*v + v + y for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2268 - 3146. Which is the smallest value? (a) r (b) -0.2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3 - 84108*a**2 + 841305*a - 2103450 = 0. Calculate a.\nAnswer: -28046, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.26425851 rounded to two dps?\nAnswer: -37.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -466199*i**4 + 219*i**2 + 87266327*i?\nAnswer: -5594388*i**2 + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2146987 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 616 and 388.\nAnswer: 59752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22880 and 87442784?\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354381 divided by -1.\nAnswer: -354381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9591*a**3 - 977*a**2 - 3280279*a.\nAnswer: 57546*a - 1954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2\/7 - 12573*r\/7 + 50340\/7 = 0.\nAnswer: -4195, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*z - 2*g + 119, 5*g = 4*z + 97. Let p be (z\/4 - -2)\/((-243)\/324). Solve -x = -2 + p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -23. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3 - -21*(-56)\/126.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = -k + 139161, 29*g - 32*g + 5*k = -34806. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23105.01922 rounded to 0 decimal places?\nAnswer: -23105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 2 - (-27 - -11 - -33)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 31. Let x(y) = -6*y - 156. Let t(m) = -21*j(m) + 4*x(m). Let a be (-7)\/((-3)\/6*2). Let h be t(a). Solve p = h*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggfdgfdfg. Give prob of sequence gg.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 - 1. Let n = 21 - 5. Let l be (15 - n)*(-2)\/(-6). Which is smaller: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -23?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25410 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 units digit of 3759766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143 + -143.212. Round k to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4386 and 9047931.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 662.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-3 + sqrt(363) + sqrt(363)*2 - -6*(sqrt(363) - (1 + sqrt(363)))) + -1 + -1*6*(-1 + (sqrt(363)*-2 - sqrt(363))))**2.\nAnswer: -1848*sqrt(3) + 160095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-2))\/(21\/(-35)). Suppose -14 - 1 = -d*o. Solve 2*i - 1 = o*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 2:02 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 + 900*o**2 - 1845*o - 16723. Calculate y(-452).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10708387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1063\/5, 3 in decreasing order.\nAnswer: 3, 1\/2, -1063\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.487 - 2656.3?\nAnswer: -2660.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2*j = -2, 0 = 30*v - 16*v + 2*j - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 21044 and 27.\nAnswer: 568188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/17*(-1)\/(-2). Let s = 612 - 617. Let k be (-2)\/12 - s\/(-10). Which is greater: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*k - 47*k + 10 = 3*c, 0 = k - c + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -f - 14, -2*f - 4*u = -3*u. Let l(x) = -7 - 6 + 2 + 3*x - x. What is the remainder when l(8) is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-20) - 6\/(-8). Suppose 5*j + 2*z = 9, g = -4*j + z + 5 + 10. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13634057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 8:18 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37473 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7000 and 728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-4)\/15 - (-22178)\/(-65). Is -344 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 2. Let i(q) = -10*q**2 - 9*q + 9. Let d(k) = -6*k**2 - 5*k + 4. Let p(r) = -11*d(r) + 6*i(r). Give 11*o(t) - 2*p(t).\nAnswer: -t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.04069.\nAnswer: -0.20345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7220.27 - 44.495213\nAnswer: -7264.765213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 67*w**2 - 6*w + 7. Let p(y) = 136*y**2 - 11*y + 13. Give 11*i(q) - 6*p(q).\nAnswer: -79*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19654421.\nAnswer: 751, 26171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, q: 5, t: 2}. Give prob of sequence tjtq.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 87\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -463648024*u**3 - 292003337*u**2 wrt u?\nAnswer: -2781888144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-6))**32*l\/l**(-11)*l\/l**(-8) assuming l is positive.\nAnswer: l**245","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5204 + -136?\nAnswer: 5035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*u**3 + 57\/8*u**4 + 0*u + 0 - 75\/2*u**2 + 3\/8*u**5.\nAnswer: 3*u**2*(u - 1)*(u + 10)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(240)\/sqrt(4))\/(sqrt(5) - (sqrt(5) - (sqrt(45) - (sqrt(90)\/sqrt(2) - sqrt(45))))))**2 + 0.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 583292 by 99.\nAnswer: 583292\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/3 + 14186704*l\/3 - 28373432 = 0 for l.\nAnswer: -7093358, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 4*p**2 - 7*p + 3. Let l = -72 - -77. Determine c(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 370*t**3 + 28*t**2 - 60*t + 4. Calculate the remainder when h(2) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 5:33 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*u = 2*p - 142*u - 11, 20 = -4*u for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 3. Let j = p + 34. Which is the closest to -2\/3? (a) -5 (b) 1\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 15*r = 252. Is r a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1*(4 - 4) + 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 40 - 14 - 8 - 3*q**2 + 8*q - q**3. Let t be r(-4). Suppose -5*l + 3 + 12 = 0, 3*l = t*n - 8371. Round n to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 162? (a) 0.5 (b) -0.388 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.681 - 22?\nAnswer: 197.681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -24*t**2 - 2*t - 1. Let k be w(-1). Let j = k - -32. Suppose 3*u + 5*f = 100, 0 = -5*u + 2*f + f + 110. Solve u = 4*a + j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-416)\/(-468))\/(8\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 + -38 + -29 + -13 + (1 - 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j + 2126 - 2396 = -30*j. Solve 5*b - 9*t = -7*t - j, -b = -5*t - 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 - 16 = -2*w, -10 = -2*d + 4*w. What is q in -4 + 56*q**5 + q - 27*q - 82*q**2 - 22*q**d - 14*q + 6*q + 86*q**4 = 0?\nAnswer: -1, -2\/7, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 24*g + 8. Let x(c) = -2*c**2 + 6311. Give x(n(s)).\nAnswer: -1152*s**2 - 768*s + 6183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 14. Give i(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/4 + 5*j**4 - 12*j**3 - 31*j**2\/2 + 193*j\/4 - 51\/2 = 0. What is j?\nAnswer: -2, 1, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7575729 litres to millilitres.\nAnswer: 757.5729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.5 (b) 1 (c) 3 (d) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 20. Let z be p(13). Let k(i) = i**2 + 10*i - 7. Let q be k(z). Suppose -4*o + 36 = -q. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -10, -9 in descending order.\nAnswer: 4, -2, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + 19*l + 3. Let p be h(-10). Solve -3*m + 2 = -p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-15)\/(h\/(h*h\/(h*(h\/h**(-27))\/h)))*h**(-24)*h*h**(2\/33) assuming h is positive.\nAnswer: h**(-2143\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17607.\nAnswer: 3, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2799*h - 9*h**2 - 2799*h. Let x(k) = 2*k**2. Give x(b(l)).\nAnswer: 162*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 - (5 + -10 + -3). Which is the closest to y? (a) 1\/26 (b) -1\/2 (c) -2\/7 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 488*n**2 - 10*n - 13. What is the hundreds digit of a(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.00771 + 0.20229. What is the closest to 0.2 in 4, r, 0, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -351996265.\nAnswer: -3\/351996265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**5\/20 + 17*f**4\/12 + 9*f**3\/2 - 159*f**2. Let p be t(12). Solve -40 = -p*v - 7*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*r + 55 = 0, 11 = -4*z - r + 55. Suppose -1 - z = 4*s. Sort 4, 5, s in decreasing order.\nAnswer: 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 131 - 129. Differentiate 43*f**2 + x - 119*f**2 + 39*f**2 wrt f.\nAnswer: -74*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643*n + 8077 = 35083 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*c**2 + 338*c - 1494 wrt c?\nAnswer: 24*c + 338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1465.4 to the nearest 10.\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -5*f, 0*f + 5*f = -4*q + 58. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267362?\nAnswer: 2, 37, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5711*b - 1359 + 13131*b - 4441*b wrt b.\nAnswer: 2979","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 3) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, b: 1, f: 1, t: 2, r: 1, l: 1}. What is prob of sequence ftbt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 12:20 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3 + 8998*k**2 - 134745*k = 0. What is k?\nAnswer: 0, 15, 8983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 356, -22527 in descending order.\nAnswer: 356, 0, -5, -22527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 + 5*c - 1. Let w(p) = p**2 - p. Suppose -3 + 7 = -4*l. Let z be 1*(1 - -4)\/(-1). Let i(o) = l*f(o) + z*w(o). Give i(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u + 66. Let z be g(-20). Is z at most as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253514781 and 16965?\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*c**3 + 35*c**2 - 4*c - 4452?\nAnswer: 288*c + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epp when three letters picked without replacement from {e: 10, p: 10}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = x - 2*y, 17*x = 14*x - y + 136. What is the remainder when 62 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/70 and (-13686)\/9260 + (-153)\/34*4\/(-12).\nAnswer: 32410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 231568074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -730*k - 2194. Calculate i(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*j - 151*j = 4*w - 5923953, -j + 5923943 = 4*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*p**3 - 19*p**3 - 96*p**5 + 6*p**2 - 20*p**2 + 11*p**3 wrt p?\nAnswer: -5760*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -r - r, -20 = 4*v + 5*r. Put 4, 3, v, 2, -3 in decreasing order.\nAnswer: 4, 3, 2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -680 by -10.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1030 (base 6) to base 13.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -3*h. Let w(i) = i. Let r(c) = -3*d(c) - 6*w(c). Let x(o) = 3*o**2. Determine x(r(q)).\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 150*d - 3618 = -32*d for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47 and -2?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + y + 21 = 0, 3*p + y - 4 - 15 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 7616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**2 + 3*i**2 - 12*i**2.\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.1 - -8.3. What is the second biggest value in 3, -32\/51, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1078) - sqrt(1078)*1)\/(sqrt(11) + 2*sqrt(11)*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99 + 99.000000016. Round b to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 284\/33*t**3 + 7 - 65\/22*t**4 - 60\/11*t**2 + 16\/11*t + 125\/33*t**6 - 60\/11*t**5. What is q in b(q) = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4 - (75\/(-10) + 4). Suppose 0 = 2*v - 83 - 27. Calculate the highest common divisor of b and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -837088*v*y**3 - 22378*v*y**2 - v*y - 4*y**5 - 32 wrt y?\nAnswer: -5022528*v - 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6603 * -14.9.\nAnswer: 98384.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, m: 1, w: 1}. What is prob of sequence wmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 183.8 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00097316249 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -70604 and -1202688214.\nAnswer: -1202758818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 12*u**2 + 13*u. Let i be g(-13). Suppose 5*h + 7 - 2 = i. Let n be ((-2)\/(-16))\/((-2)\/(-6)). What is the third biggest value in n, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 577577+-189\nAnswer: 577388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1152*p - 9666. What is d(-9)?\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 7:53 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*j - 20 = 3, f + 13 = -5*j. Let t be 0\/3*(-1 + f). What is t rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2 - 3 = 0. Let b = -1 + z. Suppose 2*x + 4 - 14 = b. Calculate the remainder when 13 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*p = -240*p + 2*x + 2, -3*x = 5*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -2, -5, -2, 13, 46?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 324, 649, 974, 1299, 1624, 1949?\n\"Answer: 325*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12855)\/(-65) - 4\/(-16). Let z = -198 + v. Is z at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g + 5*d + 29, -d = 4. What is the units digit of (-3)\/9 + 16\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 63679, 127332, 190985, 254638, 318291?\n\"Answer: 63653*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -538074 + 269035 + 269035 + 2*v**2 + 150*v**4 to the form z*v**4 + j*v**2 + y*v + k*v**3 + d and give z.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -14. Let z(n) = 3*n. Let v be z(1). What is the greatest common divisor of v and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*v - 125*v + 379*v - 117*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*n**6 + 13*n**4 - 39*n**2 - 3?\nAnswer: -1560*n**3 + 312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102 in -2\/9, -2\/13, 438?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 + 9*m**2 - 3*m. Let s(b) = -b**3 - 4*b**2 + b. Determine 9*s(d) + 4*v(d).\nAnswer: -d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2087968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*n = 58*n + 5697 - 111 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 11, u: 3}. Give prob of sequence uuc.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -52 (c) 154 (d) 1\/3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*z = 51310 - 3194, z = -3*n + 48104. List the prime factors of n.\nAnswer: 2, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 - (3 - 9 - -8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576\/(-24864)*-111*42\/(-15).\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5086\/7, -5, -2\/3, -0.07?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28458a7 + -5?\nAnswer: 28458a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20334566 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000068777159 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*l**2 - 2*l**3 + 4438*l + 110*l**2 - 4438*l.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-9)\/(-44)*((-36)\/27)\/2?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 180 = -38229*a + 38225*a, 4*j + 2*a - 84 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -112120232112 (base 4) to base 16\nAnswer: -598b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -5*d. Let i(c) = 6*c + 2 - c - 67. Let m be i(13). Solve -d*y + m*y = 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20558?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 - 5*l + 2. Let w(n) = -n**2 + n - 1. Suppose -4*o + 9*o - 4*v = -12, 0 = -v - 2. Let j(b) = o*w(b) - h(b). Calculate j(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-1))\/z**4)\/((z**(6\/13)*z*z)\/((z\/(z\/(z*z**9)))\/z*z)) assuming z is positive.\nAnswer: z**(85\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4385093.54 - -4383278.008169. Let r = g + 1813.412. Let q = 2.12 + r. Round q to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1632 and -46\/9?\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * -863410\nAnswer: -120877.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1080 = b - k, 5*b - 2*k + 0*k - 5415 = 0. Suppose 3*c = -5*h + b, c + 3*c = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k = -5*p + 26249 - 26274, 39 = -3*k - 3*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d**2 - d. Let s be p(1). Let c be (-20)\/(-90) + (-178)\/(-9). Let g = c + s. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**2 + 292084*a = 0. Calculate a.\nAnswer: 0, 73021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 685 - 685.5. Put u, -0.3, 5, -4 in decreasing order.\nAnswer: 5, -0.3, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x. Let y(o) = -266*o - 4. Calculate i(y(h)).\nAnswer: -798*h - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 * -44.\nAnswer: 101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-2 - sqrt(84))*6 + sqrt(84) - sqrt(84) - sqrt(84))\/sqrt(432) + -2.\nAnswer: -19*sqrt(7)\/6 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -22356*q. Let s(x) = 2*x. What is n(s(k))?\nAnswer: -44712*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22192 is divided by 2104?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4.4 (b) -3\/2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/25161?\nAnswer: -2\/25161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1221133013 (base 4) to base 2\nAnswer: -1101001011111000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -457, -988, -1469, -1876, -2185, -2372, -2413, -2284?\n\"Answer: 4*o**3 + o**2 - 562*o + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -79399 less than 4871?\nAnswer: 84270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 85365, 3 in descending order.\nAnswer: 85365, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1 - 0.026?\nAnswer: -4.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(0\/(-5 + 4) + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-13)\/(p\/p**(-10)))\/(p**(-4)\/(p**(-48)\/p)) assuming p is positive.\nAnswer: p**(-69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 69*x**2 + 15*x - 1033. Let s be c(69). Suppose 3*q - n - 2*n = -786, 1306 = -5*q + 4*n. What is the units digit of 3 - (1\/(3\/q) - s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -11*q**2 + 3. Let k(h) = -525*h**2 - 11 + 5*h - 41 + 713*h**2 - 5*h. Determine 6*k(r) + 104*l(r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 116. Let s be (-1016)\/12 + 1\/(-3). Let y = d - s. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 15 - 10. Suppose -b = 4*h - 4 - f, 5*h = -4*b + 25. Suppose -b + 9 = 2*n. Solve -3*r = 4*j - 23, 0*r - 11 = -3*r + n*j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + (9 - (-7 - (12 - (-2 + 7) - 9))).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -468.27 - 1.53. Round f to the nearest ten.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 713188076 - -0.3.\nAnswer: 713188076.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 11:09 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**6\/120 + 7*f**3\/6 + 19*f**2\/2 - 15. Let h(z) be the second derivative of n(z). Does 33 divide h(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*h + h. Let j = h + -2. Suppose q - 2*q - j = 0, -u + 2*q = -6. Let n(m) = -6*m. What is n(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4918, -9881, -14858, -19849?\nAnswer: -24854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-3))\/1*-1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4))**(-40))**10 assuming u is positive.\nAnswer: u**1600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**2 + 309*l - 23. Let i(d) = 3*d**2 + 98*d - 8. What is -8*i(z) + 3*y(z)?\nAnswer: -3*z**2 + 143*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**28)**(-1\/45))**(-35) assuming x is positive.\nAnswer: x**(203\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 25*t**2 - 89*t + 7. Let f be g(-4). Let i = -76 - -121. Calculate the greatest common divisor of f and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*o - 28. Let u(p) be the second derivative of -2\/3*p**3 + 0 + 1\/4*p**4 + 0*p**2 - p. Let q(m) = -2*m**2 + 3*m. What is o*q(w) + 4*u(w)?\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*7\/((-35)\/2)*-5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-18))\/((-190)\/1520)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/144 and -71\/15880884?\nAnswer: 190570608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 11) to base 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(275) + 3 + -5 + (-4*-4*sqrt(891)*3)**2.\nAnswer: 5*sqrt(11) + 2052865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/1152*-96)\/(4\/9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + 5 + (sqrt(300)\/sqrt(6) - sqrt(50)).\nAnswer: 5 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0. Let d = -3 - -5. Let j = d - o. What is the greatest common divisor of j and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 times -3.179?\nAnswer: -6.0401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + 19*c + 3. Let s be m(19). Suppose -5*j + j = 12, -s*q = -j + 20579997. Round q to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*q - q. Let k = -281 - -276.09. Let r = -0.09 + k. What is the second biggest value in q, 2\/11, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 + 1.7. Let s = -1.99 - 0.11. Let q = a + s. What is the third smallest value in 1, -4, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 559 and 1118?\nAnswer: 1118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -1\/395502426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4*(34\/(-12) + 3)). Let b(z) = -4*z + 3*z**2 - 5*z**2 + a*z. Suppose -3*h = -3*r - 3, -2*h + h = 5*r - 1. Determine b(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17591.\nAnswer: 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 406, 465, 524, 583?\nAnswer: 642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -373*k**3 + 683*k**2 + 3*k + 676806.\nAnswer: -1119*k**2 + 1366*k + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*o - 78 + 9738 for o.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -391, -690, -989, -1288, -1587?\n\"Answer: -299*v - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -333342 (base 5) to base 13\nAnswer: -5449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167416 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 0.4, 5, -34, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 438 - 434. Solve 28 = -5*w - 2*n + h*n, 3*n = 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -3\/2, -5\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32802592.\nAnswer: 2, 1025081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 100 = 2*k, k + 0*k - 46 = 5*i. Let z be 1\/(105\/k + -2). Let r = 27 - z. Solve -r = b + b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -270\/13 (b) -6\/7 (c) 3\/5 (d) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.82+-97951\nAnswer: -97950.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.7 - 23. Which is greater: p or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*x**2 - 69*x**2 - 215*x**2 - 265*x**2 + 184*x**2 in the form i*x**2 + o + f*x and give i.\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4109*n**2 - 579*n**2 + 2382*n**2)*(4*n - 6*n + 0*n) + (-2*n + 0*n + 3*n)*(4*n**2 - 2*n**2 - n**2) in the form s*n + k*n**3 + l + c*n**2 and give k.\nAnswer: -11823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*w - 782, -3*u + 2*w + 82 = -504. What is the remainder when u is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.14 - 5. Let y = a + -0.14000032. Round y to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-18)*(26 - 2))\/(-2). Suppose 0 = 3*c + w*c + 35. Let j(a) = -4*a**3 + 5*a**2 - 2*a. Let s(q) = -5*q**3 + 6*q**2 - 2*q. Determine c*s(i) + 6*j(i).\nAnswer: i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 18*p**2 + 21*p - 4. Let v be b(-2). What is the highest common divisor of v and 1854?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 2\/11 (b) -1 (c) -40.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 247*x**4 + 1084*x**3\/3 + 330. What is the third derivative of j(u) wrt u?\nAnswer: 5928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -149*a**2 - 68*a**2 + 62*a**2 + (6 - 4 - 3)*(-2*a + 2*a + 2*a**2).\nAnswer: -157*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**2*s**2 + 3*r**2 + 5*r*s**2 - 3*s**2 - 63*s wrt r?\nAnswer: -4*r*s**2 + 6*r + 5*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18347665 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 80 - 10. Let y(t) = -2*t**2 + 28*t + 7. Let m be y(x). Solve -3 = -v - m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o + o)*(-o**2 - 5*o**2 - 3*o**2)*(-10 + 6 - 3)*(-1 + 0 - 1) + (0*o + 2*o - 3*o)*(-o**2 - 6*o**2 + 4*o**2) - o**3 - 3*o**3 + 2*o**3.\nAnswer: -251*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/39 + 264\/(-209) + -4?\nAnswer: -24\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35025 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*r + 582 = 846 - 2695 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1167*d**2 + 2 + 5 + 1166*d**2 - 6*d. What is g(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 81 (b) 0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 1533330*m - 117555044445.\nAnswer: -5*(m - 153333)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -45*k + 3. Let b(u) = -2573*u. Determine d(b(t)).\nAnswer: 115785*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 7) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 488 and 42334.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 9*g - 10*g + 4504, 0 = g + 4*d - 4519. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(833)*3 - (sqrt(51)\/sqrt(48) + sqrt(17) + 0 + -4)).\nAnswer: -173*sqrt(17)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1 + 23)\/1)\/((-2)\/(-4)). Let n = -41 + p. Suppose n*f - 3 = -3. Solve 2*i - 5*c + 3*c + 14 = f, -2*c + 17 = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - h**2 + 2*h + 78. Calculate the remainder when i(0) is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.12651, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(10)\/sqrt(5))*1 - -1*sqrt(10)\/sqrt(5) - 1*4*(-3 + sqrt(2)))**2.\nAnswer: -72*sqrt(2) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*m + 1 = -39, 0 = 2*f - 4*m + 12. Suppose -3*d = -f*n - 18, -d + 1 = d + n. What is the second derivative of 2 + 16*j**d + 3 - 5 - 27*j wrt j?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*n + 72*n + 4*h = -6 - 10, 2*h = -5*n - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + 0.99. Let v = u + 0. Sort -0.5, v, -2\/3 in increasing order.\nAnswer: -2\/3, -0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 14*p + 42. What is the tens digit of v(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -232 - -230. Suppose -w = 6 - 1. Let a(o) = o**2 + 4*o + 3. Let p be a(-2). Sort p, w, d, 6 in decreasing order.\nAnswer: 6, p, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -144300 (base 5) to base 13\nAnswer: -2a8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - 0.03. Let i = v + 0.04. Which is the third biggest value? (a) 2\/7 (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 386, -427 in ascending order.\nAnswer: -427, -5, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.13, -3\/7, -434, -4, -20\/3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35967462 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*4\/(-6)*-3. Let q be -3*(5\/(-3) + 1). Let n be w\/(48\/(-26)) - q. Is 1 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 67949 and 399.\nAnswer: 3873093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 189\/(-6) - 2*(-6)\/8. Let u be 6*(-5)\/m - (2 + -1). Suppose 0*q - 9*q + 27 = u. Solve 4*j + 5 = q*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (390\/(-25))\/(-3)*7\/(-180). Let l = 1\/50 - n. Let v be 3\/(-6) + (-7)\/2. Which is the second smallest value? (a) -0.3 (b) l (c) 0.1 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720 + 689 = -5*v - 3*z, z - 17 = -3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335639.\nAnswer: 23, 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -3. Suppose 4*a = -8*k + 3*k + 311, 3*k - c*a = 193. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38611?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 257*l.\nAnswer: -257*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5031 is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*m = 12, 0 = 89*m - 91*m + 8. Let k(f) be the third derivative of f**5\/60 - f**4\/24 + 4*f**3\/3 + 8*f**2. What is k(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8238 + -8214. Sort 3, 0, z in ascending order.\nAnswer: 0, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1102 + 56 = 0. Let c = -176 - i. Suppose 2*n = 4*x + 214, 131 = 4*n + 2*x - c. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12597*d**2*i**2*q**2 + 186*d**2*i*q + d**2*q + 4*d*i**2 - i**2 wrt q.\nAnswer: -25194*d**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 839 times -0.42\nAnswer: -352.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -103122?\nAnswer: 103113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17381 - -258?\nAnswer: 17650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1732 divided by 4\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4*k - 8*k - 4*k)*(0*k - k + 0*k) - k**2 + 5*k**2 - 2*k**2.\nAnswer: 10*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -3, -7, -8, -1, -13.\nAnswer: -13, -8, -7, -3, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 2. Let m = -48 - -71. Suppose 4*c + 4*o - 2*o = 14, o + m = 3*c. Let t(x) = -6*x - 13. What is c*t(f) - 39*r(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/c**(-1\/12)))*(c*(((c*c*c*c**(2\/15)\/c)\/c)\/c*c)\/c*c*c*c*c)\/c)**(-4\/9)\/((c**1*c)**(-24)\/(c\/c**0)**(-3\/26)) assuming c is positive.\nAnswer: c**(159937\/3510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 12. Let s(f) = -f**3 + 21*f**2 - 19*f - 26. Let l be s(20). Let o(v) = -v + 10. Let j(y) = l*o(y) + 5*a(y). Let r(m) = 2*m**2. Calculate r(j(k)).\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auhuchhhh. Give prob of picking 1 h, 1 c, and 1 u.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/341)\/2*(-254)\/((-266700)\/(-1925))?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -2*d**3\/3 + 5. Let i(u) = 9*u**2. Give p(i(q)).\nAnswer: -162*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 = 2*v, -4*h + 2*h + 4 = 0. Let s(k) = 3 + v*k - 2*k - 7 + 0*k. What is s(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 694\/(-10) - -1 - (-3)\/(-5). Let o = u - -154. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 1. Let n be s(-1). Suppose 4*z + 2*u = 2*z + 12, 4*u = -n*z + 18. Let c(l) = -l**2 + 7*l - 5. What is the units digit of c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 1 = 5*n, -20*a = -5*n - 17*a - 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 9. Suppose 4*v - 182 = -z*r, v = r - 0*v - 40. What is the remainder when r is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17028.\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 - 140 - 20*m + 567 - 147 - 145.\nAnswer: -20*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-2)*(56\/(-21))\/(-8). Sort -67, q, 1, -2.\nAnswer: -67, -2, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234, 468, 702, 942, 1194, 1464?\nAnswer: 1758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35333409 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) + -2*((sqrt(120) - (-3*sqrt(120) - sqrt(120))) + sqrt(120)))\/sqrt(10))**2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -18*r + 6. Let s(u) = 1. Give -6*s(x) + t(x).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-18 - -9) + -12 + 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k - 12*k + 0*k - 3*k.\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2 + 0 + 1 - x. Let w be q(-5). What is the second derivative of 2*d - 3*d**4 - 3*d + 4*d**w wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56942555?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 60, -15, 8 in descending order.\nAnswer: 60, 8, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106764647 is divided by 1953.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/16 and -113\/242280264?\nAnswer: 484560528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + a**2 - 2*a - 4. Suppose -62 + 11 = 17*m. Let d(z) = -z**2 + 2*z + 3. What is m*i(s) - 4*d(s)?\nAnswer: -3*s**3 + s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6822 and 318?\nAnswer: 361566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 225*m**3 + 15380*m**2 + 249725*m - 453250 = 0.\nAnswer: -35, 74\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1700, -184, 1, -7 in descending order.\nAnswer: 1700, 5, 1, -7, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 o when three letters picked without replacement from ozfsyzkzsozf.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 209134639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 6. Let i(v) = -v**3 - 9*v**2 + 10. Does 5 divide i(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1143749*f**2 + 2*f + 8. Let n(i) = -3*i - 20. Let z be n(-8). Let l be w(z). Round l to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + 5. Let m be h(5). Let k be (-1)\/2 + m\/52. Suppose 4*q = -24 + 24. Which is bigger: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**4 + 0*i**4 + 3*i**4)*(-4 + 3 + 0) + 3*i + i**4 - 3*i + (i**4 - 4*i**4 + 2*i**4)*(-3 + 4 + 2).\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1888 - -70)\/89 + (51 - (-2 - -3))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((240\/(-230))\/12)\/(6\/(-216)*-24)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7815 = g, -g = 5*i - 21135 + 1593. Let p = i + -2781. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -11. Let d = 0.511 + -0.111. Which is the closest to 0? (a) y (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.036 + 125.964. Let f = -127 + t. Suppose 33 = d + 2*d. Is f not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 4:45 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-2\/13)*b**13 assuming b is positive.\nAnswer: b**(180\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/12*(5*18\/(-630))\/(26\/(-27664))?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 140*a**4 + 2*a**3 - a**2 + 104. Let s(b) = -b**3 + b**2 + 1. Let v(r) = l(r) + 3*s(r). What is the third derivative of v(g) wrt g?\nAnswer: 3360*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39243344.\nAnswer: 2, 7, 17, 20611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 14 - 18*y - 9 - 5. Let d(m) = -m**2. Give d(v(f)).\nAnswer: -324*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2*k + 90 = -0*l + 104, 0 = 4*l + k + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*y - q, -y + 4*q = -2*y + 26. Is 13 a factor of (-166)\/(-7) - (-4)\/y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 1981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59815 divided by -13.\nAnswer: 59815\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h**3*n**2*y - 7209*h**3*n*y + 39*h*n*y - 3*h*y + 1685076*n**2 wrt n?\nAnswer: -10*h**3*y + 3370152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 - -128. What is the common denominator of (-4)\/a - (-8206)\/(-1540) and 7\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w + w - 2*w)*(3*w - 4 + 4)*(-7 - 12 + 16) + (0 + 0 + w)*(0*w - w + 3*w) to the form r + o*w**2 + f*w and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.006 + -1.206. Let s = 126.208 - 126. What is the second smallest value in 5, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -713 - 95*s + 713 to the form h*s + x and give h.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -121*-0.2063\nAnswer: 24.9623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -8 (b) 421 (c) -4 (d) 1 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 27. Let m = 23.00000016 - i. Round m to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-8 + 2 + 0 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3475 + 24365\/7. What is the common denominator of 33\/4 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/6*(1 - -1). Let w = 34 + 8. Suppose -w = -b - r*d, -5*b - 3*d + 81 + 105 = 0. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 172450, 344859, 517268, 689677?\n\"Answer: 172409*s + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 35129 + 49974 = -47819. Calculate the least common multiple of m and 32.\nAnswer: 11936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18296031 divided by -741.\nAnswer: -24691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**6\/24 - 19*u**4\/24 - 35*u**2. Find the second derivative of k(a) wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68092)\/(-2958) + -23)\/((-6)\/(-18)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12433, -25008, -37561, -50080, -62553?\nAnswer: -74968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three quarters of a decade?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d**3 - 2*d**3 - 7*d**3.\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -567507, 9, -3.\nAnswer: -567507, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0555 * -127.02\nAnswer: 7.04961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + 19 = 133. Let m be 29 - (-4 + (i - (4 + -3))). Which is smaller: m or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**8))\/(u*u**(7\/4)))\/(u*u**(-2\/23))**15)**(-8\/9) assuming u is positive.\nAnswer: u**(4498\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -723808223 divided by -83\nAnswer: 8720581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 22 = -3*t, 650*t - 651*t + 33*c - 266 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000406191163 to seven dps.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (180\/(-8))\/(473\/158 + -3).\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50480 is divided by 1010.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.3, 263\/2, -1\/2, -1.4, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 217715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3 + 3652*t + 5*t**2 - 3653*t + t**3 - 6. Let r be 19\/(-3) + (-20)\/(-15). Give k(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1\/5, -3, 2\/9, 0.2, -1, -0.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*y**5 - 4*h**2*y**3 + 3*h**2*y + 5*h**2 + 145*h*y - 39*y**2 + 2*y wrt y?\nAnswer: 20*h**2*y**3 - 24*h**2*y - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/3)\/(6 - 0). What is the closest to 11 in w, -2, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 30. Suppose z - 28 = -t. Let w be ((-4)\/(-2))\/(10\/t). Solve -y = w*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.08406\nAnswer: -0.04203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 94*17*81\/(-18). What is the remainder when (8\/6)\/((-17)\/(n\/6)) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 4*r**2 + 3. Suppose -4*d = -15 - 1. Let j be f(d). Suppose q = j*q - 4. What is the greatest common factor of q and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 94, 169, 246, 325?\n\"Answer: m**2 + 72*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53\/12 + 1\/4. Suppose -3*s + 4*v + 6 = -5*s, -2*v = -3*s + 31. What is the common denominator of q and s\/7 + 43\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 656*k**3 + 11*k**2 - 11*k + 5. Let m(z) = -219*z**3 - 4*z**2 + 4*z - 2. What is -11*m(s) - 4*t(s)?\nAnswer: -215*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28172\/55 or 511?\nAnswer: 28172\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7096.2*2\nAnswer: 14192.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -29*1\/((-1)\/35). Suppose i + 3*m - q = -177, 0 = -i - m + 832. List the prime factors of i.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 25*u - 3. Let m be 6\/(-8) - (-45)\/12. List the prime factors of a(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 170334*t**2. Let k(s) = s**2 + 3116. Give k(p(q)).\nAnswer: 29013671556*q**4 + 3116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 128, 2\/3, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8843648185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -65*v - 192. Let h be u(-3). Suppose 0 = -h*s + 40 - 25. Let l(o) = -o**3 + 5*o**2 + o + 1. Give l(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 49 = 3*y. Let j(p) = -27*p - 14. Let m be j(-2). Let i = -50 + m. Do i and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/11)\/(((w\/(w*w**4))\/w)\/w))\/(((w*w\/(w**(-3\/19)\/w))\/w)\/((w**(14\/3)\/w)\/w)) assuming w is positive.\nAnswer: w**(3853\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97726 - 793951 = 9283*q for q.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 361991?\nAnswer: 7, 51713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -8.3 and 30 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331, -1257, -2791, -4927, -7659, -10981, -14887, -19371?\nAnswer: -24427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - i - 830 = 0. Let u be i\/(-20) - 10\/(-25). Do -5 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of n**4\/24 - n**3\/2 - 5*n**2. Let y(o) = 1. Calculate b(u) + 3*y(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17316 take away 0.64?\nAnswer: 17315.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.257 - -0.057. Let a = -179\/15 + 37\/3. Sort h, -2, a in increasing order.\nAnswer: -2, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27820 - -27849. Calculate the remainder when 251 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6204 = 2321*f + 1562. Suppose 4*r - 8\/3 - 4\/3*r**f = 0. What is r?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1187926296 take away -25.2?\nAnswer: -1187926270.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9697, -22922, -36147?\n\"Answer: -13225*o + 3528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207092 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: How many minutes are there between 4:29 PM and 9:57 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31\/32 + 47\/32. Suppose 5\/4*y + x - 1\/4*y**5 - y**4 - y**3 + 1\/2*y**2 = 0. What is y?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 25*q**2 - 160*q + 2129. Let p be k(28). Let l(b) be the third derivative of b**5\/60 - b**4\/24 + 2*b**2. Calculate l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3944565*c + 40*c**3 - 3944565*c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-132)*241 + (-3)\/(-18)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 1\/2*o**4 + 0*o**2 + 0*o**3 - 34 - 2*o. Let x(y) = 6*y. Give x(h(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59 and 51.4?\nAnswer: 3032.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 11*x**2 - 9*x - 5. Let v be c(-10). Let i = v + 17. Suppose -i*j + 88 = 36. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/5, -6.963, 674, 1 in decreasing order.\nAnswer: 674, 5, 1, -2\/5, -6.963","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -971375, -971376, -971377?\n\"Answer: -v - 971374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f**2 - 5*f. Let v(w) = -w**3 - 2*w**2 + 14*w + 35. Let c be v(-3). Let y(s) = 7*s**2 - 17*s**2 + 3*s**c + 5*s**2. Determine j(y(p)).\nAnswer: 24*p**4 + 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 1 + 1)*(-1 + 0 + 3)*((0*q - q - q)*(1 + 2 + 1) - 2*q + q - 2*q).\nAnswer: 66*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Let v(i) = -3*i + d*i + 2*i. Let b(h) be the third derivative of h**5\/60 + 2*h**2 - 2*h. Calculate v(b(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 2063 = 4*k - m, 3*k - m = -1556. Let w = 522 + k. Solve 3*r + 4*h = -9, -r - 14 = -0*r + w*h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 divided by -1.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4907263*i + 4907171*i = -2484 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 2080*g + 90624.\nAnswer: 4*(g + 48)*(g + 472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 188460886 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 12:11 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 1817121?\nAnswer: -1817115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 10:11 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -359 + 707. Suppose -9*n + 16*n = -161. Let i = j - n. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/7)\/(t*t**(-3\/8))*((t\/(t\/t**(-3)))\/t)**(-16\/11))**(-18))**35 assuming t is positive.\nAnswer: t**(-151875\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*d*f**3 - 1540*d*f**2 - 13569*d - 148*f**2 + 954*f wrt f?\nAnswer: -96*d*f - 3080*d - 296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/(l*l**(-1\/4)*l*l)))\/l)**(-1\/45)\/((l*l\/(l*l**(-1\/7)))\/(l**(-2\/7)\/l)))**(-41) assuming l is positive.\nAnswer: l**(42107\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -143 (base 6) to base 12\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 902 and 2288.\nAnswer: 93808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2535 (base 13) to base 14.\nAnswer: -1cd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**5\/60 + p**4\/4 + p**3\/6 - p**2 - 1. Let b(i) be the second derivative of v(i). What is the units digit of b(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-8)\/((-32)\/(-116))).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 = 4. Solve x*m + 5 = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 1133.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/77 + (-10)\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (25 - 1) + -51?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - -1) + -27 - -1. Calculate the remainder when 31\/(p\/6 - -4) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.932944 and 2.\nAnswer: 2.932944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5357395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/7 in -0.2, -0.08, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i = 36. Let a be i\/(-12)*1\/(-1). Let 0 + 0*k + 1\/10*k**4 + 3\/5*k**a + 9\/10*k**2 = 0. Calculate k.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.578 + 0.078. Let k = -0.1 + 0.2. Let p = j + k. Which is the biggest value? (a) -1 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-2)\/195*(8 - 13)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168659709?\nAnswer: 7, 166951387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f**2 + 6*f + 2. Let k(s) be the first derivative of -2*s**3 + 5*s**2\/2 + 2*s + 3. Let x(g) = 5*c(g) - 6*k(g). Differentiate x(i) wrt i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 1675?\nAnswer: 1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2328598.4911257009751 - 0.1088862990249. Let q = -2328603 - h. Let t = 4.4 + q. What is t rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 15, 2*z = 4*z - 5*x + 213. Let o be (-51)\/z - (-20)\/(-14). Let l = o - -3. Is -1 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or -11?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*q - 251*q + 137*q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 7*z**2 + 43 + 43.\nAnswer: 7*z**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -77918064 divided by 344\nAnswer: -226506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -42, -67\/4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.9 times -0.045?\nAnswer: -1.9305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2906, 5809, 8712?\nAnswer: 11615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*d - 223 - 53, 2*l = 2*d + 172. Suppose 5*r - l = -3*g, 2*g - 53 = -3*r + 7. Let j = g + -61. What is the third biggest value in -3, -2\/7, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 1\/185 (c) 2 (d) 5 (e) -3 (f) 5613\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 6607*s**8\/336 - 47*s**4\/8 - s**3\/6 - 21*s**2 - 27*s. What is the second derivative of d(w) wrt w?\nAnswer: 132140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 4 = -4*m. Solve -20 = -2*r - 4*w, r = w - m + 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000000111111 (base 2) in base 12?\nAnswer: 9627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20883 and -88.12.\nAnswer: -1840209.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 4*m + 12. What is n(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(2\/13)\/x)\/x))\/x*(x*x**(-2\/21)\/x)\/x)**34 assuming x is positive.\nAnswer: x**(6970\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 13 = m, 235 = 5*l - 3*m + 216 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2 (c) 1\/14 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.023, -0.5, 0.3, 94\/43, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**5\/60 - 2*x**4\/3 - 5*x**3\/6 - 8*x**2. Let f be m(17). Is 26 a factor of (14\/3*13)\/(4\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-2)*5306\/(-35). Let q = l + 386. Let j(b) = b**3 - b**2 + b + 2. Let z be j(2). Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4049683?\nAnswer: 11, 368153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*u - 10 = 0, 3*o - 30 = -5*u - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17516 and 12480452?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + c**2 - 300*c + 300*c as v*c + o*c**2 + d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - ((0 - 0) + -6). Suppose -1 = 18*j - 17*j. Let n be (10\/(-15) - j)*m. Which is smaller: n or 11\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1436313 - 5?\nAnswer: -1436320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*l - 11 = 0, 0 = p - 2*l - 1. Suppose p*g + 49008701 - 7008701 = 0. What is g rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 179, 220, 205, 116, -65, -356, -775?\nAnswer: -1340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3831239 is divided by 7602?\nAnswer: 7433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 - 2*g**2 - g - 2. Let t be z(-4). Let o = t + -46. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 20, 0*q = -5*x - 2*q - 263. Calculate the common denominator of 2 - (x\/(-18) + 1) and 1\/(-4)*(-1 + 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -8*d**3 - d**2 - d - 1. Let v(q) = -8*q - 12. Let h be v(-7). Suppose -k + 43 - h = 0. Determine n(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 44*s = -41*s - 28, 3*a - 5*s - 10 = 0. Solve 10 = 5*k, -8*q = -a*q - 5*k + 22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 31*s - 435. Calculate t(7).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 8:11 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*m*p - 2*h**2*p**2*v + 21*h**2 - 41*h*m*p**2*v + 3*h*m*p*v - 2*h*m*p + 48*h*p**2 - 16*h*p*v + 2*m*p wrt p?\nAnswer: -4*h**2*v - 82*h*m*v + 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -269, -290, -325, -374?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.267 rounded to 1 dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5075816 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 3:16 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 5) + 4 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-1 - -3 - (-23 + 24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4083.\nAnswer: 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 + -5 + 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 369636 or 369387?\nAnswer: 369636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 117, 368, 855, 1656, 2849, 4512, 6723?\n\"Answer: 13*h**3 + h**2 - h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12740498 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6718, -26674, -59994, -106678?\nAnswer: -166726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2440000 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 bigger than 2302\/151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1803.4 + 1803. Which is the closest to -1? (a) 0.2 (b) -1 (c) y (d) -0.387\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16656 divided by -1?\nAnswer: 16656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380344, 760689, 1141034, 1521379?\nAnswer: 1901724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/222143 + 1559666033\/1110715. Let l = 3061 - 4459. Let f = l + y. Find the common denominator of -47\/5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 4*i**2 + 12*i - 21. Let q be j(6). Let k be -2 - (234\/q - (-3)\/21). Let c be -2*((-3)\/2)\/(k\/12). Solve 3*t + c = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1158*l = 1167*l - 9. Let j be (-5)\/3*(-6)\/2. Is l\/(-5) - (-746)\/j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + 3936*c - 3936*c + 6*c**3 in the form k + q*c**3 + a*c + l*c**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 45808 divided by -11452\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 5:37 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96947.81 tonnes to kilograms.\nAnswer: 96947810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11134 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24 in 2\/5, -1\/5, 4, -5\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -4*u + 52, -5*s - 28 = -145*u + 149*u for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 3 - 7 + 4.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076650 is divided by 489?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57.8 - 59.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22940264?\nAnswer: 2, 67, 127, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2300852955.\nAnswer: 3, 5, 23, 37, 180247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 + 368*f - 240. Let w be y(122). Solve 0*p**w + 3\/8*p + p**2 + 3\/4*p**3 + 0 - 1\/8*p**5 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**5\/110 + 5*g**4\/33 + 206*g. Find w such that n(w) = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 4*c. Let s(o) = -3*o**2 + 15*o. Calculate -15*q(g) - 4*s(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 3*w**2 + 13*w + 29. Calculate the least common multiple of 70 and p(-8).\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1.6. Suppose -5*x = 37 - 32. Is x equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2*o - 4)*(-972*o + 972*o + 19*o**2) to h*o + s*o**3 + l + y*o**2 and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-4))\/(648\/288)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**5 + 429*h**4 - 111177*h**3 - 9241005*h**2 + 1290735750*h - 1281384000 = 0. Calculate h.\nAnswer: -185, 1, 96, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2820194 to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 3)*(-1 + 1 + t) - 3*t + t + 3*t + 48*t - 473 + 473)*(3*t**3 + t**3 + t**3).\nAnswer: 235*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 233da0 (base 14) in base 10?\nAnswer: 1201816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - a + 1. Let i(q) = -q**2 + 10*q - 9. Let s be i(9). Let k(w) = 6 + 2 + s - 4*w - 4 - 5*w**2. Determine 4*b(m) - k(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (3 - (-7 - 3 - 4)). Suppose -z*l + 15*l + 24 = 0. Sort -21, -5, l.\nAnswer: -21, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231580210 a multiple of 491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 817 and 731?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109148 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(2 + -6*sqrt(2448)*2 + sqrt(2448) + -1))**2 + -3.\nAnswer: -26400*sqrt(17) + 29620897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011946925 less than -85.3?\nAnswer: -85.311946925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*d - 88996 = -377338. List the prime factors of d.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*(36\/630*120\/18)\/10.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**4 - 280*a**3 + 6295*a**2 + 6570*a = 0.\nAnswer: -73, -1, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2079 - -2078.95. Which is the smallest value? (a) -51 (b) m (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*b**3 + (0*b - 2*b + 0*b)*(3*b + 6*b**2 - 3*b).\nAnswer: -14*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m + 12*m + 13*m in the form h + b*m and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 781.8 + -781.766952. Let w = 0.033 - z. Round w to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -124206, -124229, -124252, -124275, -124298?\n\"Answer: -23*c - 124183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-368)\/(-184)*2\/26\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127 - -127. Which is smaller: c or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2. Let i(u) = 6 - 6 - 2*u + 2*u - u. Give i(k(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzrg when four letters picked without replacement from zgugrgguzf.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 115 = 4*x. Let q = x + -18. Solve q*k - 20 = 5*t, -k - t + 5 = -1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z + 2*z**3)*(-1 - 1 + 0)*((-9 + 2 + 1)*(16 - 9*z - 16) + 3*z - 6*z + 2*z).\nAnswer: -212*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 55.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 - -10)\/((-3)\/(-9)). Solve y + 1 = -v*k, -3 + 10 = 3*k - y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 990.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -0.5, -27 in increasing order.\nAnswer: -29, -27, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -18. Suppose 0 = 3*k - 4*u - 54, 5*u + x = k + 2. Suppose -9*v - 4 = -k. Calculate the highest common divisor of v and 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339361 is divided by 148.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 390 + 582. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p. Let q(y) = -1. Let w(g) = 9. Let z(j) = j + 8. Let o(k) = 5*w(k) - 6*z(k). Let r = 4 + -7. Let d(c) = r*q(c) + o(c). Give d(i(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 + 0.098436.\nAnswer: -1.201564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 82138 + 1699.8\nAnswer: 83837.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13246405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-3*(-1)\/(-4)). Let o = -1 + 16. Suppose -3*m = -h*m + o. Solve 0*y - 9 = m*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)*4)**2 - (sqrt(720) + 0)) + 3.\nAnswer: -12*sqrt(5) + 723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2)\/n)**(-7)\/(n*n*n**(1\/3)\/n*n*n*n)**(-19)*(n*n\/(n*n\/n**(2\/13))*n\/n**9)**(-11) assuming n is positive.\nAnswer: n**(7123\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8228 * 514.\nAnswer: -422.9192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20a2 (base 12) to base 11.\nAnswer: -2763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-18))**(-2\/73) assuming u is positive.\nAnswer: u**(36\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Suppose j = -0*t + 4*t - 4. Let a(p) = p + 1. Let g be a(3). Solve -t + g = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 16*r**3 - 31*r**2 - 20*r + 4. Let j(b) = -3*b**3 + 6*b**2 + 4*b - 1. Let t(w) = 2*c(w) + 11*j(w). Give t(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/242 and 19\/33814.\nAnswer: 371954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-1 - (-2 + (4 - -1))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 19. Suppose f = -5*q - 5*o + 30, -3*q + 3*o = q - 10. Calculate the least common multiple of q and 83.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 7:22 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-12)\/40 + 1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 895, -3906, -8 in descending order.\nAnswer: 895, -8, -3906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 16 + 19 = 0. Suppose -i = -5*q + 13, -3*q + 5 = -4. Suppose f*u - i*u - 37 = 0. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1036 + 1193. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -37. Suppose 4*o - t - 32 = w*t, 3*t + 34 = 5*o. Suppose 0 = 2*p - o*p - 3. Sort -5, -3, 3, p in descending order.\nAnswer: 3, p, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (207\/3)\/(9\/(-2)). Let y = r - -14. Let g = 262\/3 + -88. Which is the smallest value? (a) g (b) y (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 282*u = 280*u - 22488, 5*l = 3*u + 22482. Is l a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.12641 times -1050\nAnswer: 3282.7305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 402?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 307 + -289. Which is the second smallest value? (a) 2\/7 (b) -0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 6 + 17*b + 1\/2*b**2. Let y be f(-8). Calculate the greatest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3\/11 + 438*c**2\/11 + 31974*c\/11 + 778034\/11 = 0.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**4\/4 - 4*s**3 - 6*s**2 - 13*s - 2. Let b be r(13). Suppose -3*m + 7*m - 1652 = b. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -100*k**2 + 603*k - 15. Let i be p(6). What is the nearest to 0 in i, 0.2, -95, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7376832.\nAnswer: 2, 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -680*y**2 + y**3 + y - 685*y**2 + 1366*y**2. Let s(v) = 5*v**3 + 4*v**2 + 4*v + 1. Calculate -s(o) + 4*t(o).\nAnswer: -o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24345679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 7 = -23. Suppose -10*h + 914 = 34. Calculate the highest common divisor of h and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-9 + 4)*-5)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29823 - -50343. Suppose -9*g + b = 21*g. Is g a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22378, -22398, -22446, -22534, -22674, -22878?\nAnswer: -23158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 > 254\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*n + 68, -5*c - 2*n = -9*c + 54. Let h(q) = 2*q**2 - 29*q + 16. Let y be h(c). Solve 0 = y*f - 0*f - 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Let v(x) be the third derivative of 3*x**4\/4 - 30*x**2. Give q(v(d)).\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 10:49 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/((-272)\/18)*(-40)\/315.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34790009 + 11426*f + 34790009.\nAnswer: 11426*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.246 - 0.046. Let s = -0.43 - -0.23. What is the closest to -2\/7 in s, k, -3\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6*p = -16. Suppose -4*i + 0*i + p = -3*z, 3*z - 32 = -4*i. Suppose -z*t + 508 = -0*t. What are the prime factors of t?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*u - 2*u = 138, 4*u - 44 = -2*h. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20083 and 5263?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18261930 minus 0.078572?\nAnswer: -18261930.078572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95 + 94.1. What is the closest to 1 in 5, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {e: 1, k: 1, u: 1, t: 5, i: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 6*r**2 - 128*r - 175. Give g(-8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11 + (-588)\/(-60))*(0 - 218250). Round t to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -1\/20*a**6 + 1\/20*a**5 + 0 + 1\/84*a**7 + 1\/12*a**4 + 1\/4*a**2 - 1\/4*a**3 - 13*a. Factor t(d).\nAnswer: (d - 1)**4*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w + 5*r + 28, 4*w + 4*r = -8. Suppose -122 = -b - a + 1, b + w*a = 113. Let x = b + -66. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-2) - (-3)\/(-2). Suppose -j = -h + 3. Is 22 a factor of (1 + j)\/((-1)\/22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = 4*a - 2, -4*u + 4*a = 12. Let p(t) be the second derivative of -t**3\/6 - 3*t**2 - 20*t. Calculate p(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72941?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 5 - (8 - (-2 - -2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*k + 74*k = -98*k + 128 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6963.8 + -6964. What is the fourth smallest value in -0.4, d, -21.1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -41, -60, -77, -86, -81?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + r**3 + 26*r**2 + 8 + 27*r**2 - 59*r**2. Calculate i(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 - (-1 + 0)) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -w - 59. Suppose 0 = -u + r + 44, -5*u = -0*u + 5*r - w. Suppose -b - 3*b = -u. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 7:37 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1488641.661 to the nearest one hundred.\nAnswer: -1488600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -5, 26 in descending order.\nAnswer: 26, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 32 from 21.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(10) - 1*sqrt(10)*-5)\/(sqrt(180)\/sqrt(4)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4415202 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*y - 6*y - 3*y)*(y + y - 4*y + (2 + 3 - 2)*(5*y - 2*y - y)) to n*y + u + x*y**2 and give x.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0. Let j = 1 + 0. What is the nearest to n in 1\/6, 2\/7, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1381*t - 15094167 + 15094167 as s*t + w and give s.\nAnswer: -1381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*w - w = 7, 2*k = 3*w - 18. Let s be k - (176\/(-58))\/1. Is s at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -18 - ((-22 - -31) + -1).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 6749226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.05 and -23474579 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/14)\/((-94)\/8 - -1). Let g = f - -230\/301. Solve -3\/7 + g*i**2 - 3\/7*i = 0 for i.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1409771 and 1342?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 + 3*k - 7. Let o be n(-5). Let u = -16 + o. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/15*75\/90.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*m - 199 = -3*m, -2*p + 99 = 3*m. Suppose -5*o + p = -39. Calculate the greatest common divisor of o and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/7, 1, 2\/23, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**2 - 15*q + 12. Let r(t) be the first derivative of 4*t**3\/3 + 7*t**2 - 12*t - 1. Let u(k) = 6*d(k) + 7*r(k). Determine l so that u(l) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, 3, 6, -0.188, 0.3, 15\/7, -0.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**7)**(-37))**(-1\/27) assuming t is positive.\nAnswer: t**(259\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 3*z**2 - 3*z + 1. Let c = 140 + -142. Determine a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -57*o + 61*o + 16, -j - 2*o = -20. Solve d - 17 = -3*b, 10*b + j = -4*d + 14*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = -20*d - 2*g + 13, 0 = 3*d + 3*g - 27. Suppose 0 = d*v + 3*a - 233, 3*a - 5*a = -2. Calculate the remainder when v is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 43b76992?\nAnswer: -43b7698b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 10:10 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -665 - -1324. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-2))\/(((99\/(-33))\/(-18))\/(3\/3))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2421 and 2981865?\nAnswer: 8945595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/23)\/v**(6\/7))**(-2\/5) assuming v is positive.\nAnswer: v**(248\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6570446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171353 and 9415?\nAnswer: 856765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -13.2 (b) -31 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen quarters of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 357.3258 millennia in years?\nAnswer: 357325.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3033249, -6066497, -9099745?\n\"Answer: -3033248*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 36.665149 and -0.319?\nAnswer: 36.984149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j\/(j\/((j**(-3\/4)\/j)\/j*j)*j*j*j)*j))\/j**(-1\/8))\/(j**0)**(-36))**(-34))**(-2\/43) assuming j is positive.\nAnswer: j**(799\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9803 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*g + 3*s - 40, 5*g - 55 = -s. Suppose -3*u + u = -g. What is the tens digit of u\/((-15)\/6) + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a - 17*a - 1 - 37*a**2 + 6*a**2. Let w(h) = 3 + 58*h**2 + 30*h - 31*h**2 + 65*h**2. Let y(i) = 17*q(i) + 6*w(i). Factor y(u).\nAnswer: (5*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 76, 255, 614, 1213, 2112?\nAnswer: 3371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0469 - 4.3169. Let q = -4.04 - o. What is q rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1162 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96120 - -2.\nAnswer: -96118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37113.97 centimeters in micrometers?\nAnswer: 371139700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o - 31. Let k(x) = -351*x + 1. Determine n(k(w)).\nAnswer: 1053*w - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 8*m**2 + 2*m - 12. Calculate the least common multiple of 7 and v(8).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**3 + c**2 - 2. Suppose n - 3*d = 6*n - 5, n + 7 = d. Let l be v(n). What is the highest common divisor of 6 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 122*j**2 - 2318*j + 18. Let d be h(19). Solve -129*k + 126*k = 2*f - d, 3*f = -4*k + 25 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**4\/4 - 7*c**3 - 21*c**2 - 71*c - 272. Let q be x(-19). Solve -q - 5 = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11*u**2 - 33*u - 58. What is g(-2)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y - 249*y + 39643186 + 1860528 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**2 - 335*o - 351. Let k(i) = -2*i**2 - 167*i - 174. Let u(j) = 3*h(j) - 7*k(j). Find t such that u(t) = 0.\nAnswer: -1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 132*g + 128*g = 227*g + 957 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -182 - -186. Suppose -87 = q*t + 53. Sort t, -5, -1 in decreasing order.\nAnswer: -1, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -1, 3, 1, 623, 5 in descending order.\nAnswer: 623, 5, 3, 1, -1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-16)*-2*114\/38.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 n when three letters picked without replacement from bbndnbniijnbni?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 3*p - 4*y, -258 = 5*p + 3*y - 73. Let h = 28 + p. Let u = h + 10. Solve 0 = -i - 4 - u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 39*s. Let k(w) = -46 + 3*w + 46 - 2*w + 0*w. Determine k(q(r)).\nAnswer: 39*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/260? (a) -0.1 (b) -19 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56241989819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -135252065*b**3 - 52654334*b**2.\nAnswer: -811512390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = i - 0. Let p = 13 - i. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -105 + 9*z + 8*z + 309 - 144. Give l(-8).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 + p**2 - 3*p**2)*(-19*p + 5 + 1 - 8) in the form j + a*p**3 + o*p + h*p**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 7*o**2 + 9*o - 5. Let p be (6\/(-24) + 50\/(-24))*-6. Let v be (p - 2) + (-4 - 0). Let u be y(v). Solve 0 = -0*q + u*q - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 1:53 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 6*j - 9*j. Let s = j + -14. Let m(z) = -z + 11. Let p be m(6). Solve s = p*i - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**3 - 8*i**2 + 6*i - 30. Calculate the remainder when p(7) is divided by (36\/45)\/(2*(-2)\/(-310)).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 108, -78, -1458, -4908, -11304, -21522, -36438?\n\"Answer: -146*b**3 + 279*b**2 - b - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 522060 - 1044129 + 522069 + 3*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0131 + 0.2131. Let n be ((-8)\/(-12))\/((-20)\/2). What is the closest to -1 in r, 2\/11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -1000452323785.\nAnswer: 1000452323784.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 + -46. What is the remainder when q is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*m**5 + 2*m**4 - 54*m**2 - 3276*m.\nAnswer: 300*m**3 + 24*m**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6713, 28959, 66057, 118007, 184809, 266463, 362969?\nAnswer: 474327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111*73\/32923*-41?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1507715257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 > 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6397 a factor of 129665017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 433688 and 108422?\nAnswer: 433688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3068598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2092 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(544))\/(sqrt(22)\/sqrt(99)))**2 + 1.\nAnswer: 88129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - -110?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*z - 13*z - 14*z + 3*z - 4*z + 6 in the form j*z + o and give j.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n**3 + 4*n**2 - 528*n + 2. Let v(l) = -34*l**3 + 23*l**2 - 2639*l + 12. Calculate 11*c(b) - 2*v(b).\nAnswer: 2*b**3 - 2*b**2 - 530*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**0)\/(a*a**(1\/7)\/a))\/(a**(-1)\/((a\/(a**(-7)\/a)*a)\/a)) assuming a is positive.\nAnswer: a**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27741313 to the power of 1\/2, to the nearest integer?\nAnswer: 5267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*j + 2*f - 15, j - 4 = 4*f. Let v be -3*j\/4 - -92. Suppose -a + v = -38. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376058 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 14. Let k(y) be the second derivative of -y**4\/24 + 2*y**2 + 68*y. Let a(q) be the first derivative of k(q). Calculate a(f(x)).\nAnswer: -x - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2375, -9450, -21197, -37598, -58635?\n\"Answer: 3*q**3 - 2354*q**2 - 34*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111 + 113. Let k be ((-15)\/10)\/(6\/(-16)). Suppose -2 = -k*w + 3*w. Is w at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26a - -34?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32562033, -32562031, -32562027, -32562021, -32562013?\nAnswer: -32562003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 983220 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2. Let x(v) = -5. Let t(h) = -h - 15. Let m(k) = -6*t(k) + 17*x(k). Calculate w(m(f)).\nAnswer: -72*f**2 - 120*f - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*3 - (-40)\/(26 + -21). Which is the nearest to -1? (a) o (b) 3 (c) 0.11 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745812?\nAnswer: 2, 3, 20717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/8)\/((-25)\/(-40)). Put -0.3, 1\/2, m in increasing order.\nAnswer: m, -0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16933 and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 4*u**2 + 8*u - 2. What is the units digit of o(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 42. Sort f, -30, 3, -3.\nAnswer: -30, -3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 29*j**2 - 32*j + 1702. Give c(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 14044380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 466 + -22?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-1)\/sqrt(11).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.017 to 0 decimal places.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 - 2739573*a**4 + 13697890*a**3.\nAnswer: -a**3*(a - 5)*(a + 2739578)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730*j + 358*j + 30*j**3 + 372*j.\nAnswer: 30*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f - 10. Calculate the lowest common multiple of 6 and s(-4).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/6 - f**3\/2 + f**2\/6 + f\/2.\nAnswer: -f*(f - 1)*(f + 1)*(f + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84712171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, r: 9}. What is prob of picking 3 r?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2513 + -2479. Calculate the greatest common factor of 2414 and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1565 is divided by 741.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119 by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**4\/8 - 15*f**3\/4 - 309*f**2\/8 + 291*f\/2 + 180 = 0.\nAnswer: -8, -1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8677088, -8677087, -8677086?\n\"Answer: c - 8677089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uacaaqqcuscyq. What is prob of sequence qacc?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90110 is divided by 1431?\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.270179 months?\nAnswer: 0.00010584825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.15 + 0.35. Let l = 0.03 - 0.53. What is the nearest to -1\/2 in c, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmyuv. What is prob of sequence ym?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*h + 225 - 225 as w + p*h and give p.\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25476 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33882 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 735 + -1143. Let f = p - -404. What is the biggest value in f, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + z = 6, 3*z - 2 = -2*y + 3. Suppose 3 = -t, 0*n + 4*n + 3*t = 7. What is the greatest common divisor of n and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 103*b - 1032. What is the thousands digit of q(-47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -50290 and 12?\nAnswer: 50302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8 - -24) + (0 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -867.49?\nAnswer: 869.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*u - 3 = 0, 2*q = -2*q - u + 15. Suppose -12 = -6*r + q*r. Is ((-1)\/(r\/(-118)))\/(11\/110) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*d - 25 = 0, -6 = -v - 0*v - 5*d. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3507246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 23 + 27 = 0. Suppose 4*d - g*m = -m + 736, -d - m + 188 = 0. Is d a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.16 - -0.24. Suppose -t = t - 18. Suppose -3*h = 2 + 1, 4*h = -5*n - t. Which is the second smallest value? (a) z (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -230 + 127. Let d = -59 - y. Let z = 165 + -77. Calculate the greatest common divisor of z and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*i**5 - 4110*i**4 - 219725*i**3 - 3864780*i**2 - 1381140*i + 2268000 = 0. What is i?\nAnswer: -72, -50, -42, -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2884259 and -1?\nAnswer: -2884259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 403455*i**2 + 2*i*q**3 + 4*q**3 + q**2 - 18203 wrt i?\nAnswer: 806910*i + 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, 192, 912, 2358, 4782?\nAnswer: 8436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 3*x - 20, -5*y - 4226 + 4197 = -4*x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3*sqrt(133) + sqrt(133)) + sqrt(133) + sqrt(133)*3*-5 + sqrt(133))\/(-5*sqrt(7)*-3 + (sqrt(7)*3*1 - sqrt(7))) + -3.\nAnswer: -29*sqrt(19)\/17 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 12:28 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -592 - -586.26. Let r = 0.74 + n. What is the second smallest value in r, 0, 2\/15, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 - 1349*i**2 + 427504*i + 18783804.\nAnswer: (i - 694)**2*(i + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 37418934 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/711531 and 49\/3285?\nAnswer: 3557655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(1\/16)*z))\/((z\/z**(-2))\/z))**13*(z\/(z*z**5)*z**4)\/(((z*z**(2\/11))\/z)\/(z\/z**(-4\/3))) assuming z is positive.\nAnswer: z**(-13549\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 21*o**4\/4 - 2*o**2 - 1. Find the second derivative of b(v) wrt v.\nAnswer: 126*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17, -13 in decreasing order.\nAnswer: 17, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/sqrt(10)*2 - (((sqrt(56) - sqrt(280)\/sqrt(5)) + sqrt(56))\/sqrt(8))**2.\nAnswer: -7 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(7\/(-9150 - 6)). Let v = x + -4545\/7. Calculate the common denominator of 10\/(-4)*(-2)\/(-10) and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005048 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + -1*sqrt(245))\/sqrt(5))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 908 is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7982, -7984, -7988, -7994, -8002, -8012, -8024?\n\"Answer: -n**2 + n - 7982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -50 and -40613625.\nAnswer: -40613675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -290 and -54095.036228.\nAnswer: -54385.036228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13796 (base 10) to base 3.\nAnswer: 200220222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 10*w**3 + 2*w**2 + 1. Let x be n(-2). What is x rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.452 and 0.101?\nAnswer: 0.247652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19, -4, 3, -10, -55, -144?\n\"Answer: -2*v**3 + 8*v**2 + 5*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmngncjn. What is prob of picking 2 n?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.5 (b) 0 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 664\/3 + -222. Let l = 5279\/63 - 585\/7. Which is the second biggest value? (a) l (b) -1.1 (c) 0.05 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 - 15*m - 7. Let d be w(-7). Let t be ((-5)\/(-2))\/(-5)*d. Find the third derivative of 21*g**2 + 64*g**5 + 0*g**4 - 47*g**5 + t*g**4 wrt g.\nAnswer: 1020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/21 or -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 16*x + 43. Let f be q(-2). Solve f*m = -16 - 17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765855952 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 t when four letters picked without replacement from {c: 1, q: 6, t: 6, b: 7}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4410, -1, 3, 4, 7, -36, 2 in decreasing order.\nAnswer: 4410, 7, 4, 3, 2, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33623 divided by 33623?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from lllllluololoollollll?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -86*j**4 + 5*j**3 - 34*j + 5. Let n(u) = 129*u**4 - 8*u**3 + 51*u - 8. Let q(h) = -8*a(h) - 5*n(h). Find the second derivative of q(w) wrt w.\nAnswer: 516*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**2\/2 - j + 38. Let m(o) = -2*o + 10. Determine 6*d(f) + m(f).\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - x**2)*(-x**2 - x + 3 - 11 - 2) to f*x**3 + p*x**2 + d*x**4 + j*x + b and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -6. Let w = -31 - -26. What is the third biggest value in g, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33832334 to the power of 1\/2, to the nearest integer?\nAnswer: 5817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/169122 and 19\/72633.\nAnswer: 57670602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.118 - -0.935. Let x = 1.1 - o. Is x bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j + 220 = 19*j. Suppose 6*n - j = 64. Is 28 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40928*d**2*f + 241599*d**2 with respect to f.\nAnswer: -40928*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22122022010 (base 3) to base 6.\nAnswer: 3351220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*f - 10. Let v = f - 5. Factor 13*p**4 - 9*p**4 + 4*p**v - 10*p**5.\nAnswer: -2*p**4*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4642031, 9284064, 13926097, 18568130?\n\"Answer: 4642033*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - 15*f + 2*f)*(-1 + 4 + 0)*(1 - 1 - f) + (f - f - f)*(-2 + 8*f + 2).\nAnswer: 40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610930 equal to 1610959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 277 + -276.91. What is the biggest value in -1\/4, g, -3\/8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68477 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(7\/2)*f*f**(-5))**(30\/7) assuming f is positive.\nAnswer: f**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7000.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -57) + (13 - (1 + 4)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z + 1. Suppose 20 = 4*a - 3*o, 4*o - 10 - 5 = -3*a. Suppose 6*n - n - a = 0. Let k be i(n). What is the highest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.9 (b) 52\/7 (c) 4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*k = 2*q + 18, -k = -5*q + 14. Suppose q*p - 24 = -5*r, r + 0*r + 6 = 5*p. Suppose -9 = -3*z, -28 - 27 = -r*t - z. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 58*s**2 + 187*s - 111. Let t be j(61). Suppose -5*d + 4*f - 267 = 0, -d - 57 = -f + 2*f. Let r = t + d. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 688*d - 884. Calculate the remainder when r(4) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from lqlllqqqlslqlqllsl?\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - -2. Let p be a\/(-240) - 47\/(-15). Solve p*z + 7 = -4*n + 6*n, -25 = 5*n + z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.2 - 7. Let h = 2 + -2.04. Which is the second biggest value? (a) h (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54914570 to the nearest integer?\nAnswer: 7410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 4*x - 2. Let z be i(-3). Suppose q = -5*a + z, -6*a + 22 = -2*a + q. What is the greatest common factor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 - 14*q**2 + 14. Let v(g) be the second derivative of -5\/12*g**4 + 0 + 0*g**3 - 1\/20*g**5 - 31*g + 5\/2*g**2. Calculate 5*b(n) - 14*v(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*g**3 - 78 wrt g.\nAnswer: -183*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -g + i + 4*i, -3*i = 5*g - 72. Suppose -3*x + 0*x - 3 = 0, 3*u - 3*x + 261 = 0. Let t = -42 - u. What is the remainder when t is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25127, -0.23, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p - 1205 - 1297. Suppose 0 = -2*s + 4*o + p, 4*s = -2*o + 273 + 303. Suppose s = 10*i - 67. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*m**3 - 15*m**3 + 6*m**3 + (2 - 2*m - 2)*(-21 + 42 - m**2 - 22 - 38*m) as f*m + y + c*m**3 + r*m**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8214 divided by -3.\nAnswer: 2738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 12*x - 70 = 0. Let v = 81 - x. Calculate the remainder when v is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14222 (base 13) to base 2\nAnswer: -1001001101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 + 0.38. Let l = -4.94777 - -0.04677. Let x = 0.099 - l. What is the nearest to 1 in x, u, 2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*sqrt(52)\/sqrt(4).\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.319 - 88766.\nAnswer: -88766.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2691993, 2691992, 2691991, 2691990, 2691989, 2691988?\nAnswer: 2691987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-7 - 1 - (23 + 1 + -35)) + 82?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-54)*1)\/(1\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-25 - (23 - (5 - -9))) + 12.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 138, -1.3, 1\/4.\nAnswer: -1.3, 0.2, 1\/4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 1474405?\nAnswer: -1474407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -20*y**3 + 32*y**2 + 32*y + 32. Let h = 1035 - 1067. Let o(i) = -3*i**3 + 5*i**2 + 5*i + 5. What is h*o(v) + 5*k(v)?\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = 15*t - 19*t. Calculate the remainder when t is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3692 (base 10) to base 3\nAnswer: 12001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 4, b: 1, f: 1, x: 1, s: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 - 122. Which is the second biggest value? (a) -0.3 (b) -3 (c) g (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*u - 270319 - 512514. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - g = -48, -5*k + 4*g = 37 + 12. Let n = -9 - k. Suppose 0 = -0*q - 4*q + 36. Solve q = -7*p + n*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5724 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 141 and 2961?\nAnswer: 2961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = -2*l + 176 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8838*c + 80642. Calculate g(9).\nAnswer: 1100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3780000 rounded to the nearest one hundred thousand?\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 146835447 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/9 - (-173)\/3. Suppose m = -0*f + f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u - 83. Let w(b) = 4*b + 42. Let y(v) = -4*p(v) - 9*w(v). Let i be y(-10). Let t(h) = -h**3 - 7*h**2 - 5*h - 1. Calculate t(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5426 by 123.\nAnswer: -5426\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o - o - 25 + 2*o**2 + 2*o - 5. What is the least common multiple of 4 and s(-8)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from mssmmmsmmmmmssmmmm?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2 - 460*b + 343350 = 0.\nAnswer: -545, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.29479 to one decimal place.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*g**2 + 5*g + 1135*g**2 - 301*g**2 - 293*g**2 - 245*g**2.\nAnswer: g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**4\/6 + 9*c. Suppose 4*l - 8 = 4*f, 16 = 4*l + 3*f - 13. Let o(i) = -7 + l*i + 7. Give o(v(r)).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135265 - 2?\nAnswer: -135300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 76*k - 1728. Give g(23).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/9)*b**(-25))\/((b**16\/b)\/b**(5\/7)) assuming b is positive.\nAnswer: b**(-2468\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-156)\/75 - (-6)\/75. Which is the closest to -4\/9? (a) x (b) -1\/3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -131*d**5 - 4*d + 2.\nAnswer: -2620*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2156.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (940\/2397*85\/10)\/((-416)\/(-204) - 2)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-137170)\/2838*9*(((-8)\/4)\/10)\/(-1)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 8) in base 12?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-268)\/1340)\/((-1)\/1982845) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 + 4) - (-138 - -133).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60604032 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/150600 and -29\/150.\nAnswer: 150600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 707370488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 314466 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(10\/15 - 1). Let p be (18\/n)\/(6\/20). Solve b = p + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64534 + 17474?\nAnswer: -47060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58850690 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -519, -526, -533, -540?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q - 21. Let f be t(7). What is the third derivative of -18*w**2 + 154*w**4 - 35*w**4 + f*w**2 - 5 wrt w?\nAnswer: 2856*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 282 - 3\/(15\/25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -331, -732, -1305, -2056, -2991, -4116, -5437?\nAnswer: -6960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -160 + 90\/(-162)*9. Suppose -5*n = -3*b + 435 + 387, -2*b + 823 = -5*n. Is n equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -644 = -2*h - 12*h. What is the greatest common factor of h and 782?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31\/3, 0.09, -0.3, 15, 81.\nAnswer: -0.3, 0.09, 31\/3, 15, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9207?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2 - p. Suppose -d - 3*n + 5 = -0*n, d + 5*n = 9. What is o(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97853632 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 342512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41.05 + 41. Which is greater: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbdbbgkkkk. Give prob of sequence bg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/64*567\/405.\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -7*o**3 + 16*o**2 - 14*o - 206. Let y(n) = -5*n**3 + 10*n**2 - 9*n - 137. Let g(a) = -5*i(a) + 8*y(a). Differentiate g(v) with respect to v.\nAnswer: -15*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 x, and 1 d when four letters picked without replacement from {v: 4, d: 1, j: 5, x: 5}.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130222 + -213?\nAnswer: -131101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + (1 + sqrt(99))**2).\nAnswer: 6*sqrt(11) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/2*7\/42?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -502 + 451.95. Let p = t + 45.893. Let w = -4.1 - p. Round w to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*i - 45*i + 52*i.\nAnswer: -41*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8981 - 9576940519?\nAnswer: -9576949500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/19893 + 58783826\/218823. Let l = c + -269. Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -51, 12 in descending order.\nAnswer: 12, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 6:09 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drd when three letters picked without replacement from drd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/3, -0.5, -4\/7, 27\/118, -1\/7, -0.09?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3 + 746*m**2 + 1489*m + 744 = 0.\nAnswer: -744, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.26484816 rounded to 2 dps?\nAnswer: -3.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -216565 + 1299385\/6. Let v = -48 + 142\/3. What is the nearest to v in y, 49\/3, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1066, -0.3, 1\/3, -1, 0.2, 11\/4 in decreasing order.\nAnswer: 1066, 11\/4, 1\/3, 0.2, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 (base 7) in base 14?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3040537 and 61296?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*y + 203, v - 64 = -4*y + 115. Suppose 5*o = -5*r - v, -3*r + 8*o = 4*o + 131. Are -42 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2 - 2)*(-22*p + 19*p + 42*p) - 3*p**2 - 3*p**2 + 2*p**2.\nAnswer: 74*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g - 8*g + 0*g - g - 5*g + 4*g + 2*g + 3 - 3 + (-4 + 4 - g)*(-2 + 1 + 0))*(0*g - 3*g + 0*g) in the form c*g**2 + k + u*g and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1557079 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -1 - 4 + 3 - 1 - l. Let n be u(5). Let z = n - -10. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -26 + 36, -u - 12 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 2 = -4*x. Let i(r) = -6*r + 14. Let c be i(x). Let s = -5 - c. Solve b = s*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 6*w**2 - 2*w - 8. Let s be i(-6). Let k(a) = -2*a + 15. Let v be k(7). Let q = -2 + 5. Solve -q*m + 2*c - v = -2, -8 = -s*m - 4*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(45\/(-152)) - (-2)\/5. Let h be 2\/((-2)\/3) + (v - 2). Let t = h + 75. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20512*z**3 - 40764*z**3 + 20410*z**3.\nAnswer: 158*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 1. Let x be y(1). Suppose x*g + 152 = g - 2*w, 3*g + 5*w = 434. What are the prime factors of g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*v + 20 = 0, 4*d - 4*v + 0 = 24. Suppose -4*o = 2*j - 12, 3*o - 3*j - 4 - d = 0. Sort o, 9, 2 in decreasing order.\nAnswer: 9, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (20\/(-12))\/(2*(-1)\/6). Find the third derivative of 2*c**2 - 47*c**3 + 0*c**4 + 0*c**2 - 2*c**4 + n + 2*c**2 wrt c.\nAnswer: -48*c - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-10))\/((162\/12)\/(75\/20)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68020 = 150*r - 188*r. What is the remainder when r is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -13 - (-82 + 74 - (-25 + -13)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + r - 7 + 1 = 0, 0 = 5*v - 2*r - 37. Let i = v + 4. Let y = i - 2. Solve -4*j + j = y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4 - 2. Let x be (-6)\/(-4)*(-8)\/(-3). Suppose -x*b = 9 - 1. Sort 1, b, d in ascending order.\nAnswer: b, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 1:40 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380*j + 384*j = -4*q + 109804, 0 = -5*j + 10. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267908403 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 458849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 46696 divided by 3592\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*y + 33*y + 15*y + 4*y**2 - 8*y**2.\nAnswer: -4*y*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*p + 2364 - 1279 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(605)*2 - sqrt(605))**2.\nAnswer: -66*sqrt(5) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 197.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, e: 5, p: 1}. Give prob of picking 1 e and 1 j.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 542089932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54*b**2*p**5 - 40*b**2*p**2 - 767*b*p**3 + 160 wrt p?\nAnswer: -3240*b**2*p**2 - 4602*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 4, i: 6, p: 1, a: 2, y: 1}. Give prob of picking 2 s and 2 a.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 5. Let x be (-1)\/3 + (35\/15 - 0). Put x, g, -1 in descending order.\nAnswer: x, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 400, -33, 65, -1 in descending order.\nAnswer: 400, 65, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of 172*c**4\/3 + 43*c**3\/6 + 43*c**2\/2 - 2262*c - 1. Let o(p) = -81*p**2 - 5*p - 5. Calculate -43*o(j) - 5*t(j).\nAnswer: 43*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -327, -698, -1109, -1560?\n\"Answer: -20*m**2 - 311*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/5 + 382*r**3\/5 + 17418*r**2\/5 - 77902*r\/5 - 18988 = 0. What is r?\nAnswer: -101, -94, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19577\/21 + -2798\/3. Which is the closest to -1? (a) -0.03 (b) 18\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/6 + 1)\/((-8)\/80). Suppose -387 + 95 = -t*q + l, 5*l = -q + 48. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78)\/(-42)*(-26)\/(-169).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2958116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2. Let a(g) = -271*g + 288. Let y(j) = -a(j) + 3*o(j). What is the first derivative of y(u) wrt u?\nAnswer: 271","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 650823036*z**2 + 536841722*z wrt z?\nAnswer: 1301646072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruy when three letters picked without replacement from {u: 1, z: 6, y: 3, r: 1, c: 2, e: 2}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x - 28. Determine m(15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -90*b - 2491. Determine c(-30).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Let x be c\/7 + (-100)\/(-28). Sort 2, x, -1 in descending order.\nAnswer: x, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4232 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*u = 15 + 461. Let a be 2\/1*((-924)\/u)\/11. Find q, given that a*q**2 + 38\/9*q**3 + 64\/9*q - 64\/9 + 4\/9*q**4 = 0.\nAnswer: -4, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, 2, 5, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f + 33 = -85 - 62 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -42*j**2 - 1380*j - 4679. Calculate l(-29).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by 4?\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2323 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991209?\nAnswer: 11, 181019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (36 - (-19 - -37)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 57237949.\nAnswer: 286189745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348, -350, -352, -354, -356, -358?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 363\/5 - 5077\/70. Let s = 1199 - 1242. Is s at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/5 + 18*f**4\/5 + 224*f**3\/5 = 0 for f.\nAnswer: -7, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -11*c + 8*c + 94, -212 = -7*c - 2*s. Which is smaller: c or 48?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r. Let w(i) = -8*i. Let h(o) = 11*b(o) + 4*w(o). Let q(d) = d. Let k(y) = -6*y. Let t(l) = -k(l) - 15*q(l). What is h(t(p))?\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 8*n - 12. What is the remainder when 28 is divided by w(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30080151 equal to 30080155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 1229*o**3 + 464868*o**2 - 55090800*o - 227880000.\nAnswer: (o - 633)*(o - 300)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83*g**2*x**3 - g**2*x - 42*g*x**2 - x**4 wrt x?\nAnswer: 498*g**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + t - 3*t)*(2 - 2 + 3) + (-2 + 6 + 3)*(t - 2*t + 0*t) + (-2 - 1 + 2)*(-2 + 2 - t) as b + m*t and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - v**2. Let k(i) = -12*i**3 + 2*i**2 + i. Let s = -1027 - -1029. What is s*x(f) + k(f)?\nAnswer: -14*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54827922 is divided by 619.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-56))\/((-1)\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 140 + -123. What is the remainder when 40 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100733 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2430*q**4 + 17*q**2 + 27732 wrt q?\nAnswer: -9720*q**3 + 34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*w. Solve 3*u + 16 - 4 = w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 - 9*z - 46. Let x(p) = 5*p**2 + 9*p + 45. Let n(v) = 4*d(v) + 3*x(v). Differentiate n(j) with respect to j.\nAnswer: 6*j - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w - 12246. Let q(l) = 8*l - 48980. Calculate -3*q(p) + 13*r(p).\nAnswer: 2*p - 12258","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -1. Let r(w) = 6*w**2 + w. Let l(o) = -33*o**2 - 6*o - 4. Let s(m) = l(m) + 4*r(m). Let f(t) = -5*t**2 - t - 2. What is p*f(z) - 6*s(z)?\nAnswer: -z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y. Let g(b) be the second derivative of 1550*b**3\/3 - 2*b + 549. Give n(g(l)).\nAnswer: -6200*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.699059ml?\nAnswer: 0.000699059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(432) + 0)**2*3.\nAnswer: -3888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*x + 186*x - 5 = 0. Which is greater: x or 4\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 - 42*p**2 - 129*p - 90.\nAnswer: -3*(p + 1)*(p + 3)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7364 + 8134. Is 771 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 696.3631 kilograms?\nAnswer: 0.6963631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*d - 2*j + j, 0 = -d - 3*j + 15. Let n(t) be the second derivative of -t**4\/12 + t**3\/6 + 49*t**2\/2 + 9*t. Is n(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z - 3*z + z + 4*z - z. Let k(f) = 16*f**2 - 1. Calculate t(k(d)).\nAnswer: -48*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dedfeddeefddddedddd. What is prob of picking 1 e, 1 f, and 1 d?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31140737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1625\/(-78))\/(-25)*6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**18*k*k*k*k\/(k**6*k*k)*k*k\/(k\/(k**(-1\/7)\/k))*k*k*k*k assuming k is positive.\nAnswer: k**(-127\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-6)\/(-1))\/2)\/(4\/(36\/(-27))). Which is bigger: y or -18\/731?\nAnswer: -18\/731","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**4\/4 + 8*n**3\/3 + 4*n**2 - 3*n + 18. Give q(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 5*c**2 + 33*c - 20. What is t(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dci when three letters picked without replacement from kkkyccydcykicklciici.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 divided by -85?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10021\/4 - 2446. Let o = l - 59. Solve 0 + 0*g**3 + 0*g**2 + 0*g + o*g**4 + 1\/4*g**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11242*j**3 - 9220*j**2 - 2026*j + 4 = 0.\nAnswer: -2\/11, 1\/511, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2159204 and -1.1.\nAnswer: -2159205.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-330)*-3)\/(((-340)\/(-16))\/17).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s\/(s*s*(s*s*s*s**(12\/7)*s)\/s)))**(-1\/27) assuming s is positive.\nAnswer: s**(-61\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1573) + 5 + (sqrt(143)*-1*-2)\/sqrt(11))**2.\nAnswer: 182*sqrt(13) + 2246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 902 = -794 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 0)*(-55)\/33.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 - p**2 - 5*p - 6. Determine g(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 282042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4)\/(-18 + -1) - (-285 - (-66676)\/228).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-g + 2*g - 2*g) - 2*g + g + 0*g + 75*g - 22*g + 43*g + (-2 - 1 + 1)*(g + 2*g - 4*g).\nAnswer: 99*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from {f: 2, t: 1, z: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -355579396, -711158787, -1066738178, -1422317569, -1777896960?\nAnswer: -2133476351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.86 + 1.79. Let w = -0.37 - g. Which is the biggest value? (a) -0.7 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*(24\/380)\/((-162)\/180).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Let x(o) = -4*o - 18. Let r(f) = 11*f + 47. Let y(a) = 3*r(a) + 8*x(a). Let b(t) = 2*t - 7. Let q be (-1)\/4*2*14. What is q*y(p) + w*b(p)?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14196657 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 2. Let o be (9\/(-7) - -1)\/(n\/(-42)). Suppose o*k + 3*x = 28, -2*k - 3*x + 6*x + 28 = 0. Calculate the remainder when 69 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:21 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 4*y + 36, -5*y + 63 - 17 = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 6\/7103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kss when three letters picked without replacement from {s: 5, k: 15}?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w + 5*z = 4, 4*w - 4*z = 0. Let t be 2\/4*-2*-1. Put 5, w, t in decreasing order.\nAnswer: 5, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - q**2 - q - 1. Let a(w) = 14*w**3 + 3*w**2 + 3*w + 5. Let j(c) = -a(c) - 3*f(c). Differentiate j(p) wrt p.\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221111221021011 - 12?\nAnswer: -221111221021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*n - 372 = -0*n, n = -2. Let j = q + 405. Calculate the highest common divisor of 40 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4246771*a. Let f(c) = -2*c**2. Calculate o(f(z)).\nAnswer: -8493542*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - -4) + (-5 + 11 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*(-1 - -1))\/(-2). Suppose q*x - 15 = -3*x. Suppose 0 = -5*v - 2*c + 323 + 32, -x*v = 5*c - 355. Round v to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 16*t**2 + 2. Let r be q(16). Suppose 33 = -4*d + d. Let a = r - d. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6704, 13448, 20194, 26942, 33692, 40444?\n\"Answer: n**2 + 6741*n - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 222050497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1458 = 63. Let o = 426 - a. Let f = o - 80. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 0.5, 2.1, 1\/4, 9\/19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -543*s - 1341. Let f be j(-5). What is f rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o**3 - o**2 - 2*o. Let t(q) = 11*q**3 + 4*q**2 + 7*q. Let g(a) = -7*l(a) - 2*t(a). Find the third derivative of g(h) wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 3*v - 5*v. Let s = v - -334. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/108*1*-6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (75\/6)\/((-1)\/(-2)). Let w = 15 - s. Let l be 18\/(-15)*w\/4. What is the closest to 1\/2 in -1, l, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -146*h**2 - 13*h**4 - 2 + 147*h**2 + 8*h**4 + 37*h - 152*h**3 - 36*h in the form p*h**4 + y*h**3 + l*h**2 + o*h + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/3 + (-2)\/(-2). Suppose -x = n - f, n + 3*x + 10 = 26. Suppose 2*g + 5*g + 7 = 0. What is the closest to g in -1\/7, -5, n?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 2:56 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnnnnnna?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2853, 4600, 5243, 4788, 3241, 608, -3105?\nAnswer: -7892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n + 35*n = 22*n. Suppose n = 3*p - 262 - 1970. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2 minus 0.3?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 o when four letters picked without replacement from {c: 7, o: 7}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 364 = -4*a, 4*b - 8*b = -2*a + 758. Which is bigger: b or -197?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -14, 5, 38, 91, 170, 281?\n\"Answer: r**3 - 2*r**2 + 10*r - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**2 - 2*m**3 - 5*m**2 - 3*m**3. Let a be l(-1). Let s(p) = 3 - 3 + 6 + 145*p - 146*p. Give s(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -803, -2479, -5231, -9059, -13963?\n\"Answer: -538*k**2 - 62*k - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2255.\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12b06 (base 14) to base 7\nAnswer: -251206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(3\/(-2))\/((-12)\/(-8)). Let y be -3*x\/2*18\/(-18). Which is the closest to -0.2? (a) 1\/6 (b) -1.6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/276 and 9\/26.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174793292.\nAnswer: 2, 3, 32633147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3979 = -410. Let q be s\/(-5) + (-26)\/65. Let g = -196 - q. Is 21 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -13153*c + 13154*c + 11, 2*j + 29 = 5*c for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1573108 and 1573114 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6679292.\nAnswer: 2, 23, 79, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 4*o**2 - 1 + 4*o**2 + 0*o**2 - o. Give a(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126\/5 - 1749\/70. Find the common denominator of -77\/74 and k.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3187?\nAnswer: 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2629 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 11*h + 6 = 9*h, 4*h + 18 = z. Find the third derivative of 47*x**2 + 125*x**2 + 12*x**6 - 107*x**z wrt x.\nAnswer: 1440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2461183 is divided by 1472?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(81) - -1*sqrt(81)*1))\/(4*1*-2*sqrt(147)).\nAnswer: -9*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**3\/3 - 15*v - 2. Let w(c) = -c**2 - 8. Determine 3*g(i) - 5*w(i).\nAnswer: 2*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -101 or 44554?\nAnswer: 44554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/5*3*(-20)\/24. Is w at most 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -30*t - 75 - 3*t**2 + 0*t**2 + 0*t**2 + 0*t**2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5213134835\/5383 - -33895272\/35. Let y be 1\/(769\/(-771)) - -1. Let i = v - y. Find the common denominator of i and 49\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 - 61*l**2 + 2*l + 244.\nAnswer: -(l - 2)*(l + 2)*(l + 122)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*q + 2*t, 3*q - 32 = -2*q + 4*t. Let s(j) = -j**3 - 16*j**2 + 16*j - 8. Let v be s(-17). Solve -q*w = -v*w + 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65179479 by 1.\nAnswer: -65179479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 32, 273, 100, -5 in decreasing order.\nAnswer: 273, 100, 32, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 2:19 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.4 - 8.87. Let l = v - 3.43. Which is the nearest to l? (a) 5 (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 1. Let z be l(1). Suppose 1 = -q - d, -2*q = -z*q - 4*d + 2. Sort 1, q, -5.\nAnswer: -5, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 - -80. Suppose 9*x - 56 = 5*x. Calculate the highest common factor of x and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/9*3*-1. Let r = c - -36. Is 17 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m = -11 - 165 - 64 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*g**3\/19 + 802*g**2\/19 - 11764*g\/19 + 7488\/19 = 0. Calculate g.\nAnswer: 2\/3, 16, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -177 (b) -3\/7 (c) 323 (d) -0.03 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7*(-22)\/(-2)*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4 + 4. Let z be (-102)\/(-6) + o\/(-2). Suppose -4*u + 4*s - z = 5, -4*s = u - 20. Is 1 at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3790 - -3?\nAnswer: -378b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2794961609?\nAnswer: 11, 257, 773, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*p**2 - 1 + 872*p**2 - 3*p - 2229*p**2.\nAnswer: -1913*p**2 - 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 20, 0, -3736, 5 in descending order.\nAnswer: 20, 5, 3, 0, -3736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 17 - ((8 - 4 - 14) + (-83 - -83))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/((-28)\/16))\/2. What is the nearest to 4 in 5, -0.1, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2735*a + 2708*a - 4335*a)*(-4 - a + 4)*(-1 - 2 + 0)*(0 - 1 - 1) in the form i*a + p + z*a**2 and give z.\nAnswer: -6648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/((-35)\/((-805)\/(-46)))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*r*r*r**(-3\/34)*r*(r*((r*r*r**2\/r)\/r)\/r)\/r assuming r is positive.\nAnswer: r**(235\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) 2\/5 (b) -4 (c) 36\/11 (d) -2\/577 (e) -1\/4 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20265 and 5211.\nAnswer: 182385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 - 5*h**2 + 356*h + 1. Let o(k) = 2*k**2 + 2*k - 1. Let p(c) = -f(c) - 4*o(c). What is the second derivative of p(n) wrt n?\nAnswer: -12*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.67112 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 29*h = 2380. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/39211680 and -52\/8115.\nAnswer: 39211680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/6 bigger than 170\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*b - p + 7, 5*p = -25. Is b equal to -24\/391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 8 + 20)*(5 - 5 + 2*q)*(0 - 3 + 1) + (-2*q + 3*q + q)*(1 - 5 + 3) + 0 + 0 + q to t + z*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6*c = 0. Calculate the remainder when 31 is divided by c - 2*51\/(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -8. Let p(h) = -h**2 + 193. Let y(i) = 1. Let d(f) = p(f) + 3*y(f). What is the hundreds digit of d(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-20) - (5 - 147\/28). Suppose 22*d + 107 + 25 = m. Let h(r) = 2*r + 6. Let z be h(-6). Is z greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-3) - (-2 + 0). Suppose 0*f = r*f - 3185. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284736 + 1698 = -46*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/55*2013\/61.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.373 and 5.\nAnswer: -1.865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -8*j + 33. Solve -3*r = u + u + 2, -r - 10 = -j*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 4. Let r be i(5). Let y be (2 + -1)*(2 - r). Let h = -5.1 - -1.1. Which is the nearest to y? (a) 1 (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112110 + -2120201?\nAnswer: -2001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*o = 42*o + 2180. What is the remainder when 753 is divided by o?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 74.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 7*j - 13. Let i be l(-4). Put i, -10, 3, 5 in descending order.\nAnswer: 5, 3, i, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 5*r - 460980 = -5*q, -184380 = 2*r - 5*q. Round r to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1852\/2125 - 6\/125. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -61*a**4 + 199*a**3 - 159*a**2 + 19*a + 20. Let t(l) = 31*l**4 - 99*l**3 + 79*l**2 - 9*l - 10. Let k(s) = -4*j(s) - 9*t(s). Factor k(h).\nAnswer: -5*(h - 1)**3*(7*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - 14*x**2 - 7*x + 3. Let b be v(-7). Determine m, given that 49*m**3 + b*m**3 + 8*m**4 - 104*m**3 - 3*m**5 - 2*m**2 = 0.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/3*(-535)\/(-2). Suppose -5*i - 115 = h. Let y = 195 + i. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g + 11. Let b(r) = 3*r - 5. Suppose -27*j + 4*j = -115. Give j*b(c) + 2*a(c).\nAnswer: c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 + -7 - 0\/(-2). Suppose q*r - 10*r = -8. Solve -r - 2 = -f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158 + -156. Suppose -2*h + 5*c = f*h - 47, -2*c = -10. Let d = 17 - -1. Is h bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 7*l - 29. Factor l*f**2 + 8*f**4 + 4*f**3 - 24*f**2 + 2*f**5 + 7*f**2 - 6*f.\nAnswer: 2*f*(f - 1)*(f + 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7546650 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(363))**2 + -4 + (sqrt(363) + -2 - sqrt(363)))*-4*5.\nAnswer: -21720 - 1320*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113410?\nAnswer: 2, 5, 11, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 920 and 1196.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3911173510?\nAnswer: 2, 5, 17, 23006903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 - o**3 - o**3 - 3*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.039 and -0.41758.\nAnswer: 0.01628562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28598041942.4433 - 28599660728. Let u = -1618793.616699307 - v. Let a = 8.06 + u. Round a to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, y: 1, w: 3, o: 3}. What is prob of sequence www?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**4\/4 - 3*n**3 - 5*n**2 - 3*n + 6. Let v be w(10). What is the tens digit of v - 0 - (0 - 45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t**2 - 373*t + 11755. Calculate y(26).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(35 + -48)*-1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.31 (b) 5 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**9\/3024 - p**7\/210 - p**4 + 27*p. Let a(o) be the third derivative of k(o). Find the third derivative of a(t) wrt t.\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3497 is divided by 3495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 14 - 5 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.001, 0.3 in descending order.\nAnswer: 3, 0.3, -0.001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7108, 28453, 64034, 113851, 177904, 256193, 348718?\nAnswer: 455479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27315 and 12519375.\nAnswer: 9105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10333010 - -13311?\nAnswer: 11012321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16606 - 16603. Which is the closest to -0.03? (a) 0.4 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azza when four letters picked without replacement from {p: 1, a: 2, z: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/11))**(-14)*((a**(2\/7)*a*a)\/a)**(17\/4) assuming a is positive.\nAnswer: a**(-1845\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - x - 40, i + 0*i - 2*x - 14 = 0. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6122511 (base 7) to base 3.\nAnswer: 1101000020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -719 times -0.4?\nAnswer: 287.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 34455375593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78222414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**3 - 22*o**2 - 39*o - 31. Give b(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 2)*(-2*n + 0 + 0) + (-3*n - 21*n - 45*n)*(1 + 2 - 4) - 2*n + n + 3*n)*((-1 + 0 - 1)*(-n + n + 2*n) - n - 3*n + 2*n).\nAnswer: -414*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 96\/144 - (1 - (-1690)\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -255 and -186307791646.\nAnswer: -186307791901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0503 - -9.0503. Which is the biggest value? (a) k (b) 0.05 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 2. Let i = -28 + m. Suppose -i*n + 4*n = 24. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -30. Suppose -30*f + h = -31*f. Let x be 4\/f*(4 - (-1)\/(-1)). Put 5, -1, 3, x in descending order.\nAnswer: 5, 3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37217 is divided by 2795.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.1 - -1.1. Let c = 392 + -464. Let h = -63 - c. What is the closest to -1 in 0.4, p, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -12314?\nAnswer: -12311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k - 7. Let y be h(6). Suppose w - 15 = -3*v + 21, 5*v = -y*w + 60. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/14)\/((-308)\/(-539)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*t + 5, -5*o + 0 - 15 = 0. Suppose t*w - 7 = -5*d, 2*w - 34 = 7*d - 3*d. Let s = 8 - w. Put 3, s, 4 in descending order.\nAnswer: 4, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 147.58328, -2, 0.036, 3 in descending order.\nAnswer: 147.58328, 3, 0.036, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - 63. Suppose -j - 4*j = -q*m - 12, 2*j + m = 12. What is the remainder when 15 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-seven halves of a millennium?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 497.858 + -496. Let v = -0.142 - t. Let q = 23.6 - 24. Which is the closest to 0.1? (a) v (b) q (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14\/261, 46\/11, -2\/9?\nAnswer: 46\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 723299317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -249, -557, -999, -1581, -2309, -3189, -4227?\nAnswer: -5429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*c - 16 = 0, 0 = 4*p - 2*c + 7 - 37. Let z = -4 + p. Solve f + z = 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 9*v**2 + 9*v - 1. Let k be o(-7). Let h = k - -11. Calculate the remainder when h is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 48 + -74 + 51 + (107 - 0).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 2, k: 1, f: 6, t: 3}. What is prob of sequence tubf?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (-52 + 22)) + -13\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.8 + 5.7. Which is the closest to 2? (a) m (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 m when three letters picked without replacement from myymym.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(((t\/(t**(-13\/2)\/t))\/t)\/t)*t**(-2\/21) assuming t is positive.\nAnswer: t**(-235\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -611?\nAnswer: 244.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1026 + -1031. What is the biggest value in 0.1, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 34*b + 508. What is p(17)?\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178030.\nAnswer: 2, 5, 19, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 34704306, -15 in ascending order.\nAnswer: -15, -3, 34704306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2. Let k be v(1). Let s(h) = -9642*h + k*h**2 + 9642*h. Let j(w) = w**2 + 224. What is j(s(f))?\nAnswer: 4*f**4 + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1260.\nAnswer: -1\/420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, -4, 3, 5, -95 in descending order.\nAnswer: 5, 3, -4, -95, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 415580 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 14. Suppose 3*g + 3 = 0, 2*b + 2*g + 6 = -2*g. What is the nearest to b in 0.2, z, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 33*b + 28*b = 14, 4*b + 56 = 4*s. Let f = 14 - 8. What is the smallest common multiple of s and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 416029*y. Let c(w) = -143*w. Calculate c(x(m)).\nAnswer: -59492147*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2827565?\nAnswer: 5, 13, 41, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1901 (base 10) to base 15.\nAnswer: -86b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, y: 12}. Give prob of sequence yy.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 - 18\/(-1) - 5. Let s(y) = 3*y**3 + y**2. Let k = 1 + 0. Let b be s(k). Solve 0 = -5*v - 5*d + 10, z*v - b - 9 = d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -87*g**4 - g**2 + 24*g + 3. Let p(u) = 86*u**4 + 2*u**2 - 25*u - 4. Let q(c) = -4*o(c) - 3*p(c). What is the third derivative of q(h) wrt h?\nAnswer: 2160*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1263 = 1610*m - 31853 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2308685664 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4796 divided by 1199?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f*f\/(f**(-2\/29)*f)*f*f)))**(-9) assuming f is positive.\nAnswer: f**(-540\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 1, l: 2, e: 1, d: 5, g: 5}. Give prob of picking 2 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 - -0.12. Which is the closest to 2? (a) 2 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -105 (b) 141 (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/15*(-15)\/6. Let i = b - -5. Find u such that 1\/2*u**3 + 0 + 0*u + 1\/2*u**i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-2))\/((-5)\/2290). Suppose i = -0*i - 3*x + p, 3*i - 3387 = 3*x. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*t - 2*t. Solve 5*f - t*f = -8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/4, 3, 4, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1203?\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -66 (b) 1\/6 (c) -771 (d) -55 (e) -0.5 (f) 4\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040.9519 months in millennia?\nAnswer: 0.170079325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-2)*2\/16 + 1655\/(-1655). Let c = -10 + 8. Put h, -4, c, -1.3 in decreasing order.\nAnswer: h, -1.3, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 540, 107, -624, -1653, -2980?\nAnswer: -4605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 10*c**2 - 9*c + 3. Let n be m(-9). Find the second derivative of -5*x - 5*x**3 + 4*x**3 + 2*x**3 - n*x**3 wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 9*t + 36. Let o be f(-12). Suppose o - 2 = -h. Let q(l) = -1 + l**h - l**2 + l**2 - 3*l + 0. What is q(3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -4, -2, -5, 50 in increasing order.\nAnswer: -5, -4, -2, 28, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -5.936?\nAnswer: 5.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p = -126. Let n be ((-74)\/(-4))\/((-21)\/p). Find the first derivative of n*t**4 + 29*t**4 - 1 - 62*t**4 wrt t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.023 times 1\nAnswer: 0.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g = 70*g + 76*g + 154 - 6847 for g.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 979*u**4 - 206 with respect to u.\nAnswer: 3916*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 49751, -0.01, 0.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 814993*b**2 - 1330496*b?\nAnswer: 1629986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -28. Let i be (6\/10)\/(4\/(x + 5)). Which is the nearest to -1? (a) i (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54870957 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -86*y - 23. Let g(p) = p**2 + 8*p + 6. Let h be g(-6). Is n(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -45. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157494630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1333482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) 0.063 (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or -6?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1823500, 3647001, 5470502, 7294003?\n\"Answer: 1823501*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(456)\/sqrt(192)*2)\/(sqrt(32)\/sqrt(4)*2))**2.\nAnswer: 19\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -46918 divided by -15?\nAnswer: 46918\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143907 is divided by 533?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 360 divided by -3\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbtttttbtb. Give prob of sequence bbt.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1392 + 1391.5. What is the closest to 0.2 in f, 29, 3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsus when four letters picked without replacement from {u: 1, p: 1, s: 2, q: 2, b: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 3*d**2 - 99*d + 5815. Give g(17).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42215 + 11820251\/280. Calculate the common denominator of j and -25\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -18\/5, -18 in descending order.\nAnswer: 2, -2, -18\/5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 2723*a + 2725*a - 6, 4*t - a - 1 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -63. What is the least common multiple of 5 and i?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -10*v**3 - v**2. Let z be p(-1). Suppose -a - z = 8. Let r = -3 - a. What is the greatest common factor of 70 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-713937)\/(-105679)*1\/(-90). Let h = 1\/4870 - l. What is the common denominator of h and -1\/8?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4 = -5*a, 5*a + 148 = 3*q. Let m = q + -45. Suppose -4*y = -m*y + 8. Solve 4*i - 27 = p - 9, 4*p + 24 = y*i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140\/14139 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 - 7*n + 12. Let x(y) = -13 + 146*y + 8*y**2 + 36 - 159*y. Let i(c) = -5*o(c) + 3*x(c). Is i(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 41 = 11. Let d be l\/5*9\/6. Let m be (d - -2) + -3 + (24 - -3). Solve 5*n + 17 = -2*q + 5*q, 5*n + m = -3*q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, u: 3}. What is prob of sequence nnn?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (31*(-33)\/(-1705))\/((-18)\/40)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = -4*z - 16, 0 = -3*z - 12. Suppose 4 = r, 4*x + o*r - 80 = x. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 6:51 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13031, 13041, 13051, 13061?\n\"Answer: 10*z + 13021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6136 and 3916?\nAnswer: 6007144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*x**2 + 0*x**2 - 167*x**2 + 404*x**2 + 306*x**2.\nAnswer: 698*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -54 and 59.6467623.\nAnswer: 5.6467623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(-1 + sqrt(1539)) + -3 - (((sqrt(1539)*-2 + sqrt(1539))*2)**2 + sqrt(1539) + 2 + sqrt(1539) + (3 + sqrt(1539))**2).\nAnswer: -7712 - 81*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 - 31?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 - 4812*s**2 - 1929612*s - 257924804.\nAnswer: -4*(s + 401)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 9) in base 3?\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2352 + 14*d**3 - 2352)*((3 - 4 + 3)*(0 - 2 - 4) + 4 + 0 - 6) to v*d**3 + m*d + i + y*d**2 and give v.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, y: 4, h: 3, i: 9}. Give prob of picking 2 n.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 101 and 0.074.\nAnswer: 101.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**2 - 1427*n + 142440. Calculate o(-438).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 1 + 5 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2226)\/(-6)*-1*(0 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 13*u - 9. Let n(t) = 26*t - 20. Let w(o) = 17*o - 13. Let i(v) = 5*n(v) - 8*w(v). Calculate 9*i(m) + 4*q(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5616, -5629, -5644, -5661, -5680?\nAnswer: -5701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -j + y + 12, -12 = -3*j - 3*y. Suppose -9 = -3*i, -p - i = -4*i - j. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 - u + 10*u**3 + 0*u**3 - 2*u**4 - 7*u**3 + 1 as l*u**3 + k*u + d*u**2 + y + i*u**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3701 - -0.3691. Let l(c) = -c**3 - c**2 + c. Let d be l(1). Is q at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -7*f**3 - 6*f**2 - 768. Let j(l) = -12*l**3 - 10*l**2 - 1537. Give 3*j(a) - 5*t(a).\nAnswer: -a**3 - 771","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + (-480)\/(-100))\/(((-8)\/5)\/(-4)). What is the closest to -2 in 53, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72.8 + 418.8. Let o = l - 346. Which is smaller: 60 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -718\/9 + 143591\/1800. What is the common denominator of p and 23\/25?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Find the third derivative of g**2 - 3*g**3 - 2*g**3 + 2*g**z wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*t + 3. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/(-40)*(8\/2 - (-306)\/(-84)) and 11\/420.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 11*c + 11*c - 2*c**2)*(3*c + 9*c + 5*c)*(0 + 2 + 1) to the form p*c**3 + o*c + a + h*c**2 and give o.\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5845733 to the nearest integer?\nAnswer: 2418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.01589 - 0.0201. What is g rounded to four decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23996 and 55598732?\nAnswer: 55598732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**3 + 6*q**3 - 30*q**3 + 16*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2379515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -410993.93 rounded to the nearest one hundred?\nAnswer: -411000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.5. Let v = 0.44 + -0.44. What is the second biggest value in v, 5, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 + -36. Find a, given that -16*a - k*a**2 + 12*a**4 - 11*a**5 - 92*a**3 - 68*a**4 - a**5 = 0.\nAnswer: -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d**6 + 197635*d**5 - 3*d**3 - 4*d**2 + 3*d + 1666925 wrt d?\nAnswer: -480*d**3 + 11858100*d**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5889, 11543, 17159, 22707, 28157, 33479, 38643, 43619?\nAnswer: 48377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -109.\nAnswer: 3\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 309.3784.\nAnswer: 123.75136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/201 (b) 0.5 (c) 3 (d) 0.4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.9. Let t = -2.9709 + -0.0091. Let h = t + 3.98. Which is the closest to -0.2? (a) 0 (b) r (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -11658.\nAnswer: 1\/3886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -5\/1038582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 8:53 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 62753?\nAnswer: -62748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 8344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 14 - (-24 - -3)) + (0 - 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**5\/80 - 97*h**4\/24 - 400*h**3 - 2304*h**2 + 2*h - 2854. Find w such that n(w) = 0.\nAnswer: -96, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6347 + -6345. Which is the nearest to x? (a) -5 (b) -42 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8056073 and 5317?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 1. Let y = -6 - n. Let v = y - -10. Solve -m - 6 = -v*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330369 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: What comes next: 663, 618, 575, 534?\nAnswer: 495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 22*j - 12.\nAnswer: 2*(j - 6)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 27 = 33. Suppose -5*t = -0*t - r. Let f be ((-3)\/6)\/(t\/(-8)). Solve -5*o - 5 = 2*c - f, -2 = 3*o + c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**2 + 924810*r + 924813 = 0.\nAnswer: -1, 308271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 102*u - 91 - 115 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/3)\/(-9 - 182\/(-21)). Let x(t) = -98*t**3 - 2*t**2 - 4*t - 4. List the prime factors of x(s).\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 + 9*f - 8. Let j(i) = -9*i**2 + 17*i - 14. Let x(b) = 6*j(b) - 11*z(b). Calculate x(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 10:54 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 925745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5\/3 + 214*m**4\/9 + 112*m**3\/3 - 136*m**2\/9 = 0. Calculate m.\nAnswer: -34, -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n - 21. Let y be g(-8). Suppose -4*f = -0*f. Suppose f*a = -y*a. Solve z - 2*z = -3*b, b - 5*z = a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (sqrt(162) - 3*(sqrt(162) + -2 + sqrt(162)))) + (2*sqrt(162) + -4 - sqrt(162)))**2*-2.\nAnswer: -16076 + 2520*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 205.5723ml?\nAnswer: 0.2055723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/105 and 149\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1628 and -15\/1628.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*w + 2, 5*w = -0*w + l + 25. Suppose m - 5*m = o - 8, 2*m - 4*o - w = 0. Calculate the greatest common divisor of m and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/5 (b) 8796 (c) -2 (d) -0.4 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.5 (b) 0.4 (c) -2 (d) -97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 9. Let t be c(-6). Suppose -t*l - p = -3, 3*l = 5*l - 2*p - 10. Solve -z + 4*y - 2 = 4*z, 0 = -l*z - 3*y + 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 * -49\nAnswer: -10.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2295.85156 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 7*v + 6. Let m be c(-7). Suppose d - k - m = -4*k, -5*d - 3*k + 54 = 0. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (-1 + -2*sqrt(275)))**2 + 2.\nAnswer: 30*sqrt(11) + 2478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*l + 35 + 136, 3*l + 3*r + 255 = 0. Let k = -94 - l. What are the prime factors of (-1 + 0)*-9*k\/(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1771)\/(-1012) + (1\/(-4))\/(-1). Solve p*b = -2*l + 6*l + 2, 3 = -l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a micrometer in nanometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {l: 1, m: 1, o: 1, i: 1, t: 2, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {a: 2, j: 1, m: 2, p: 2, z: 1, h: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1256036*w**6 + 90*w**2 + 104*w + 48?\nAnswer: 150724320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*n = -1338, 3*n = 2 + 1. Does 53 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5667 - 0.468.\nAnswer: 0.0987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13855*j**3 + 5747*j - 333083453?\nAnswer: 41565*j**2 + 5747","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/(-1001)*(-14)\/(-6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-204)\/(-5) - 0) + (-12)\/(-150)*-10. Solve -y = 40*b - 35*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a decade in months?\nAnswer: 4860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/(-330)*10\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3972400*k*s**2 + 2*k*s + 592166*k wrt s.\nAnswer: -7944800*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*b - 7707 = 0. Suppose -a + 3*f - 294 = 0, b = 3*a - 7*a - 3*f. Let v = -183 - a. What is the highest common factor of v and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -331243 (base 5) to base 9\nAnswer: -16630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 24*g + 153. Calculate q(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -104686 divided by 52343?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -119 + 232. Suppose -1 = d - w. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-1 + 54\/58). Let g be (-8 + 0)*(-1 + 9). Let h = d - g. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32 and 21.\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*w - 0. Is (0 - w) + 6 - -23 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -13 - (100 - 107).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2044 and 183449.\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 7:22 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvsvksssssssssksvk. Give prob of sequence ssk.\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 153767 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: Evaluate -1 - 44 - (-851 - -776).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3837, 3839, 3843, 3849, 3857, 3867, 3879?\n\"Answer: w**2 - w + 3837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-342)*(-12)\/2.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 34*y**2 + 2*y + 3. Let m be i(-1). Solve -v + 5 = 4*v - h, m = 5*v + 5*h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -544416 divided by 4.\nAnswer: -136104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 132 - 60. What is the third derivative of j*m**3 - 9*m**2 + 71*m**3 - 148*m**3 wrt m?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -3. Let l = 2 + k. Let v be l\/10*(-4 - 0). Which is the closest to v? (a) 0 (b) -0.1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3306)\/323)\/29)\/(3\/(1785\/(-10)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-212) - 1508\/3445)\/(1\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -83\/4, 2\/15, 3.\nAnswer: -83\/4, -3, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1015\/(-28))\/(4\/(-464)). Let m = a + -1665. What is m rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 26*w = -18. Suppose 5*n + 26 - 106 = 0. Let s be n + 1 + -3 - -2. Which is smaller: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(6)*5)\/((2*sqrt(250))\/sqrt(5)).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*t - 2*t + 6*t + (-t + 3*t - t)*(2 - 3 + 3) + 1 + 2*t - 1.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 2 - 5)*(-3 + 3 - d) + 3*d - 12 + 12)*(-8*d + 8*d + 5*d**2 - 1) to v*d**2 + u + z*d**3 + x*d and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)\/i**(2\/17))\/(i\/i**(-19)*i*i*i**(-30)*i))**(-21\/4) assuming i is positive.\nAnswer: i**(21\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2910)\/45)\/(6\/(-135)). Let r = y + -1020. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (748\/(-110) + -14 + 21)*90\/39.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4116681, -4 in descending order.\nAnswer: -3, -4, -4116681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -390\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -14. Suppose 5*i = 2*i + 5*z + 12, -r*z = 12. Let q = i - -4. Put q, -6, -3 in ascending order.\nAnswer: -6, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 + 161*d**2 + 43*d + 125. What is y(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1212120020 (base 3) to base 2\nAnswer: -1000111111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -3 (c) -61 (d) -53 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 66 and 1\/96 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-12))\/((2\/20)\/((-8)\/20))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 16*g - 59*g + 44*g - b, 5*b - 1 = 4*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1055*a = -r - 987*a - 271, -5*r = -5*a + 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -177*m + 134*m + 967973. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -1 - (-13 + (20 - 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -0.703318?\nAnswer: -8.439816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 581*o - 2 + 2 + 625*o - 1765*o + 615*o.\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**4 - 476*i**3 - 468*i**2 + 476*i + 479. Let k(n) = -12*n**4 + 4761*n**3 + 4680*n**2 - 4761*n - 4794. Let h(x) = -2*k(x) - 21*q(x). Factor h(b).\nAnswer: 3*(b - 1)*(b + 1)**2*(b + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*o. Suppose -4*d + 2*d + 92 = o. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 16 = -0*g. Let u be 15\/9*(212\/(-20) + 5 + 11). Solve g = u*w - w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13658?\nAnswer: 2, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 95*i**2 + 3626*i + 30040. Determine p(-26).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axe when three letters picked without replacement from {k: 3, i: 1, a: 4, e: 4, g: 6, x: 1}?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44044 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 237 and -3.5.\nAnswer: -829.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 5, f: 3, i: 1, t: 1, z: 1}. What is prob of sequence ffc?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2 + 309*t - 62 = 0.\nAnswer: -62, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 22*z + 54. Let w = -79 - -88. Is 14 a factor of y(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1132 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18\/18259 - -87254\/162596395. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 40696762481663 and -5.\nAnswer: 40696762481658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztwwzzzzwwzzww. What is prob of picking 1 t and 1 z?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 989164000 rounded to the nearest 1000000?\nAnswer: 989000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60.991 - -0.009. Let z = -60.85 + y. Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 3*z + 7, -5*r + 4*z = 5*z + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 134*q**2 + 1008*q - 124. Calculate y(-126).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**6\/40 - u**4\/12 - 2*u**2 - u. Let s(t) be the first derivative of c(t). What is the second derivative of s(d) wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**3 + t**3 - 5 - 2*t + 43*t**2 + 10 as p*t**2 + b + x*t + r*t**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-1)\/(3\/(-6)). Let d(o) = j*o**2 + 2 + 1 - 3. What is the remainder when 14 is divided by d(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(252)*1 - (sqrt(252) - 1*(0 + sqrt(252))))**2 + -3 + 0 + 6*((sqrt(252) + (sqrt(252) - (sqrt(252) + -1)))**2 - sqrt(252)).\nAnswer: -24*sqrt(7) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 20*y - 20. Let d be c(15). Find the second derivative of -d*l**3 - 31*l + 130*l**3 - 79*l**5 + 95*l wrt l.\nAnswer: -1580*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 508 and 14986?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 82, 79, 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2)*(-76 - -2). Suppose i = 5*q + 4*m, -8*q + 73 = -3*q + 3*m. What is the remainder when q is divided by (1 - (4 - -2))\/(8 + 265\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653395335 is divided by 573?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7242797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322 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 the ninth root of 12677 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(1\/67)*z\/(z*z*z**(1\/4))*(z**(-33)\/z*z)\/((z\/(z*z\/(z**(-12\/7)\/z)))\/z) assuming z is positive.\nAnswer: z**(-53561\/1876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4627.05152243761 + -1.94845767239. Let n = -4629 - a. What is n rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -228478\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 2 + (-4 + 0 + 1)*(0 + 1 - 3) - 4 + 4 + 2)*(3*f - 4*f + 3*f) to p*f + y and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 3*f + 3935. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d**2*k**2*z - d**2*k + 136*d*k**2 - 14*k**2*z wrt z.\nAnswer: 3*d**2*k**2 - 14*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -12. Suppose -3*t + 2*t + 7 = 0. Suppose 2*l = 3*l + u - t, 0 = 4*l - u - 8. Solve q*o - 9 = -0*o - l*c, 3*c - 9 = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, q: 6, c: 4, i: 3}. Give prob of picking 1 q and 1 c.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4931744 and 16152?\nAnswer: 14795232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3\/9*3\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfp when three letters picked without replacement from fffppp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -360567900 rounded to the nearest 100000?\nAnswer: -360600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17880640 or 17880639?\nAnswer: 17880640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 245.430732 to 1 dp.\nAnswer: 245.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268104 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 5227361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -225 + 223. Let h be 65\/9 - 5\/((-45)\/y). Solve 3*d + 2 + h = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -s + 2. Let z be -1 + -2 + s + 9. Suppose 2*o - 4*q = 54, -q - q = -z*o + 119. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/6*(-45)\/(-10)*(-45)\/(-135).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 0*y - 4*y - 159*y**2 + 29*y**2)*(-2 - 7*y**2 + 2).\nAnswer: 910*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/15)\/2*-15. Suppose 0 = -3*m + 5*m - f. Solve 0 = -2*l - 13 + m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 0*x**2 + 3 - x**2 + 0*x**2 - x**2 + 4*x**3. Let z(b) = b**2 - 1. Calculate -f(c) - 3*z(c).\nAnswer: -4*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -34, -36, -36, -34, -30, -24?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*u - 70, -3*f - 26 = 4*u + 26. Let q be 6 - 1\/(20\/125). What is the closest to u in q, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-3\/4)\/s)*s\/(s**6*s)*(s**0)**36 assuming s is positive.\nAnswer: s**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 2*o - 2. Let p be l(4). Let h = p + 9. What is the nearest to 2\/5 in h, 5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14662\/35 - 2061\/5. What is the common denominator of s and (-15)\/(3150\/(-20))*150\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*1 + 5)**2.\nAnswer: 80*sqrt(13) + 857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -0.19, -4\/3, -5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -294\/5*f - 42\/5*f**2 - 2\/5*f**3 - 686\/5.\nAnswer: -2*(f + 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2624127*t**3 - 2624127*t**3 + 54*t**2 - 80*t**5 wrt t.\nAnswer: -4800*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 - 48a?\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -614060 divided by 5?\nAnswer: -122812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 113045424 (base 6) in base 5?\nAnswer: 1014342234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 7. Let h(l) = l**3 + 3*l**2 - 2*l. Let x be h(-2). Is o(x) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -267 and -85.7.\nAnswer: -352.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*(1898\/4015 + (-12)\/44).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30507530 and 40?\nAnswer: 122030120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a132 + 269a?\nAnswer: 1c7cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3841, -3842, -3843?\n\"Answer: -m - 3840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y**5\/4 - 5153*y**4\/2 + 1881889*y**3\/2 + 5442361*y**2 + 27878775*y\/4 - 4915089\/2 = 0 for y.\nAnswer: -3, 2\/7, 739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14999, -15790, -16581?\nAnswer: -17372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v - 2*v - v - 2*v + 3*v - 2*v + 3*v - 5*v + 0*v - 6*v + v + 4*v + (-2*v - 1 + 1)*(3 - 2 + 1) - 26*v - v - v + 1 - v - 1 as q*v + t and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -456*d - 457*d - 459*d + 1828*d - 457*d + 1 + 2. Suppose 0*l + 10 = 5*l. Let r = 5 - l. Give g(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009119 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3*(-65)\/(-4))\/((-54)\/(-2520)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 3*r**2 + 3. Let g(j) = j**3 + 10*j**2 + j + 13. Let z be g(-10). Suppose 15 = 6*w - z. What is n(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 b when four letters picked without replacement from {d: 4, m: 2, b: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*1\/(-4)*-3. Let q(h) be the third derivative of h**5\/60 + h**4\/24 + h**3\/3 + 19*h**2. Calculate q(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2432301 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 74*n**2 + 1312*n + 322. Calculate q(-45).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 892339.9 years in centuries?\nAnswer: 8923.399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 641764682?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l - 20. Let o(g) be the third derivative of g**3\/6 + g**2 + 6. Let z = 91 + -90. Let t(n) = n - 3. Determine l*o(h) + z*t(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28646, -28736, -28826, -28916?\nAnswer: -29006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffdgfazfffffccd. What is prob of sequence zafg?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b + 32. Suppose 0*f = f + c - 16, b = -f + 5*c. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmtmel. Give prob of sequence lt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2*o + 0*o)*((3 - 2 + 1)*(0*o + 4*o - 5*o) + (-4 + 4 - 1)*(-2*o + 2*o - 2*o) - o + 3*o - 3*o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026058129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - n - 2*w + 68, 0 = -3*n - 4*w + 103. What is the lowest common multiple of n and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -h - 988, 14*k - 9*k - 4*h - 1642 = 0. Calculate the smallest common multiple of k and 2.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166 - -158 - (3 + (-166)\/14)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8121 - -12186. Let o = v + -32563\/8. What is the common denominator of (-3)\/(-12) + 227\/(-44) and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7746048 or -7746041?\nAnswer: -7746048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50432 and 0.272?\nAnswer: 13717.504","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5 - 28*k**4 - 40*k**3 + 80*k**2 + 224*k + 128 = 0.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y*y**(7\/6)*y)*(y**(-2\/21)*y)\/y assuming y is positive.\nAnswer: y**(-137\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -19*f**6 - 3*f**4 + 2*f**2 - 3. Let i(u) = 57*u**6 + 8*u**4 - 5*u**2 + 8. Let p(r) = -3*i(r) - 8*q(r). Find the third derivative of p(b) wrt b.\nAnswer: -2280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17116 and -5.\nAnswer: 85580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140359 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12525128 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -60583?\nAnswer: -60585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88568 (base 13) to base 9.\nAnswer: 415728","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1564560 is divided by 1465?\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110011011110100101010 (base 2) to base 14.\nAnswer: ad13aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - 5*b**3 + 4*b**3 + (2 - 2*b - 2)*(-b**2 + 0*b**2 + 2*b**2) + 0 + 0 + 3*b**3 + b**3 - 3 + 3 - 3*b**2 - 2*b**3 + 2*b**2 - b**2)*(-2*b + 0 + 0).\nAnswer: -2*b**4 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from yrdwaryyww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 8 - 4. Solve -6*c + 4*c + u = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -180711505 divided by 4\nAnswer: -180711505\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5024b (base 14) in base 11?\nAnswer: -121726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 10*r - 9. Let b be v(9). Suppose 0 = -z + l - 4, b*l = 4*z - 2*l + 12. Let w be -2 - (z - -2) - -2. Solve -2*s - s = w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2034, -4099, -6194, -8325, -10498, -12719, -14994?\nAnswer: -17329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*x - 401 + 368 = 0. Sort -166, x, 2\/17 in decreasing order.\nAnswer: 2\/17, x, -166","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4301, -5.2, 0 in ascending order.\nAnswer: -4301, -5.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 929 + -905 - (5 - 9 - (-2 + 0))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1268 (c) 12 (d) 25\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 22324?\nAnswer: 22313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*s**2 - 13343*d*s - 192129*d wrt s.\nAnswer: -4*d*s - 13343*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.1 + 19.9. Let i = 48.4 - k. Which is greater: 18 or i?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4*(sqrt(208) + -1) - 4*sqrt(208)*3) + -5)**2.\nAnswer: 640*sqrt(13) + 13412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 3*s**2 - 7*s - 5. Let o(u) = -9*u + 5 + 0 - u**2 + u. Let i be o(-9). Is t(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -109*a + 108*a. Suppose -4*o = -5*q + 26867, 52*q - 47*q + 5*o - 26840 = a. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/9 + 3133\/(-39). Let l = -46 - v. Calculate the highest common divisor of l and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 90575318.48?\nAnswer: -90575318.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnhnqnnjahjhanhmaq. Give prob of picking 1 j, 1 m, and 2 a.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**2 + 2*g - 2*g - 16*g**2.\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 103.47 and 1.21047.\nAnswer: 104.68047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 3 - 1)*(g**3 - 4*g**3 + g**3) + (-7*g + 2*g + 4*g)*(-g**2 + 4*g**2 + 0*g**2).\nAnswer: -37*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 284138 bigger than 284138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -1518874*p**3 - 4*p**2 = 0?\nAnswer: -2\/759437, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4597757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39482 - 20492. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**2 + 2*n - 2. Let m be v(1). Solve -m = -0*j + j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 34*v**2 + 175*v - 288. Is 86 a factor of h(38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 46255?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 217 + -202. Let g be 8\/(-2) - (i - -25)\/(-8). Solve -g = -4*d - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15923, -31967, -48001, -64019, -80015, -95983, -111917?\n\"Answer: w**3 - w**2 - 16048*w + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 0*c**3 + 0*c**5 - 5*c - 1\/30*c**6 - 1\/2*c**2 + 0 + 1\/6*c**4. Factor a(q).\nAnswer: -(q - 1)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.18 in -16, 26, 2\/9, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 6*r - 7. Let t be x(7). Suppose t = -d - 3, 2*d - 2 = -h - 6. Let m be h\/7 - (-109)\/(-259). Which is greater: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = a + 6*i - 22, -128 = -5*a - i. Suppose 3*m - 27 - 15 = 0. Suppose p - m = a. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.5 - 29.5. Let j = 36.1 + z. Which is the nearest to j? (a) 4 (b) -3\/4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -9*h - 5 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2424 - -24249\/10. Let w(j) be the second derivative of -11*j + 13\/12*j**4 + 0*j**3 + 0*j**2 + 0 - s*j**5. What is the third derivative of w(r) wrt r?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -18*j**3 + j**2 + 16*j + 31. Is a(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 c when three letters picked without replacement from zccfqpaq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 641*l + 4*l**2 - 641*l.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(-3\/7)))\/((b*b**13)\/b)*b**(-3)\/(b**6*b))**(2\/27) assuming b is positive.\nAnswer: b**(-316\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 15696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/10 - 4)*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -131\/32 (c) -0.039 (d) 1\/2 (e) -1\/3 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7609*n**4 + 2*n**2 + 916*n - 2.\nAnswer: 182616*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**3 + 198*q**2 + 50*q + 1205. Calculate m(40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36389, 36363, 36337, 36311, 36285, 36259?\n\"Answer: -26*q + 36415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-16))\/((-60)\/(-8) + -5). What is the smallest value in 5, -1, j, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 8*i + 5. Let f be r(8). Suppose 0 = f*m + 9 - 14. Suppose -2*h = h + 12, -4*h - 19 = -3*s. What is the remainder when s is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1402 (base 5) to base 14\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 8:08 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 - (-1 + 7)) + 2572?\nAnswer: 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 5:05 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g - 12. Let j(d) = -d**2 - 5*d - 1. List the prime factors of j(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 2*d = -3*o - 95, 4*o = -551*d + 556*d + 180 for d.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-6) + 2805\/306. What is the greatest common factor of r and 2583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - u = -0*u + 20, -35 = -5*v + 4*u. Let w(s) = s + 1. What is the least common multiple of (-426)\/(-21) - 6\/21 and w(v)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h - 1. Let j be v(2). Let g(z) be the second derivative of -z**3\/6 + 19*z**2\/2 - 3*z. Does 10 divide g(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 12.6. What is the nearest to 7 in 2\/17, f, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 58.64054 milligrams?\nAnswer: 0.00005864054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -19*h. Let d(c) = 3*c - 3*c - 2*c + c. What is d(x(u))?\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 55624.8212 - -451731?\nAnswer: 507355.8212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -542, -576, -636, -728, -858, -1032, -1256, -1536?\nAnswer: -1878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 3*o**5\/5 - 21*o**4\/2 - 15*o**3 - 163. What is r in q(r) = 0?\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 33 = 20*f. Solve 0 = -3*j + 4*i + 10, f = 4*j - j - 5*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.8 + 8. Which is the second biggest value? (a) -0.2 (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32131434320 - -20?\nAnswer: -32131434300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:29 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-135)\/(-140))*(-12)\/14\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 - 157*t + 1900. What is m(23)?\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*g - 90, -5*p - 3*g = -8*g - 125. Suppose 0 = 24*v - p*v - 10256. Suppose -4*u + v = -17744. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/129 and 137\/582.\nAnswer: 25026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 86 + 90, -3*b - 7 = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 - 4*j**2 - 3*j. Let t be ((-5)\/4)\/((-5)\/60). Let c = 24 - t. Calculate the remainder when c is divided by y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 733600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2411, -4845, -7287, -9737, -12195, -14661, -17135?\nAnswer: -19617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 19 + 31514*s + 15*s**2 + 31509*s + 20 - 63023*s + 16.\nAnswer: 15*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87968 and 192?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5155644 is divided by 1425?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -9. Let m = 0 + a. Suppose -2*i - 6 = -5*y, 2*y + 5*i + m = -2*y. Solve -o = -y*o - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 765342.8 rounded to the nearest 10000?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/8)*d**(-23)*(d**(-8\/5))**47)**(1\/27) assuming d is positive.\nAnswer: d**(-3923\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2484 divided by 16968?\nAnswer: -207\/1414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64.000009 + 64. What is x rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34731, 70036, 105347, 140664?\n\"Answer: 3*z**2 + 35296*z - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1497935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 5. Suppose -5*p + 0*x = -x - 54, -p = -5*x - 30. Suppose -6*u - 108 = -5*j - p*u, 0 = 3*j - 2*u - 56. What is the least common multiple of j and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -18 (b) -16 (c) 16 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9859098 millennia in years?\nAnswer: 985.9098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (5 - 4)) + -4 - 13 - 19.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29.9824 + 0.6724. Let b = -29 - q. Let g = b - 0.01. What is the second smallest value in 2\/13, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -41342, -82685, -124030, -165377, -206726?\n\"Answer: -p**2 - 41340*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j + 4451. What is the tens digit of y(-49)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*d + 10 = d, 5*t + 13 = -d. Is (-20)\/15 - 88\/t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3693?\nAnswer: 3, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(2 + 105\/(-48)). Which is smaller: -15 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6 + -1 + (794 - 40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = -282*j + 138*j. Which is the third biggest value? (a) 11 (b) j (c) 230\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*x - 112*x + 212*x.\nAnswer: -23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73470622 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*d + 17, -5*q + 16 = 2*d - 4*d. Let b(r) = -r - 10. Let h be b(-8). Let s = h - -8. Solve q*l + 0 = s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 13*u + 26. Suppose 0 = -3*j + j + 78. Calculate the remainder when j is divided by z(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/12*(-5)\/(-25)*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13511837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from aaaaaaaaaagagaaaag.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -3115?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1942 - 5049.\nAnswer: -3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 - 6*r - 15.\nAnswer: -(r + 3)*(r + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 38669, 4, -0.2, -4 in increasing order.\nAnswer: -4, -0.2, 4, 38669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.5839 kilometers to meters.\nAnswer: 55583.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 0*z**4 - 7*z**2 + 0*z**5 - 1\/60*z**6 - 1\/336*z**8 + 0*z + 0 + 1\/70*z**7 + 0*z**3. Factor o(m).\nAnswer: -m**3*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-3 + sqrt(363) - sqrt(363)) + sqrt(363) + 4 + 1*sqrt(363)*6)**2)*1.\nAnswer: 154*sqrt(3) + 17789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 177 divided by 191\nAnswer: 177\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -1 + 3. Let b = 5 - r. Let y(i) = -6*i**2 + 8 - 5*i + b*i - 7*i**3 - 3. Let j(z) = -z**3 - z**2 + 1. Calculate -6*j(g) + y(g).\nAnswer: -g**3 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 40. Suppose 3*v + 19 = d*f, -9*f + 10*f - 4*v = 21. What is the smallest value in f, 0.4, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + -3 - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4 (b) 0.06 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 46.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*j**3 + 419*j**3 + 398092*j - 398092*j.\nAnswer: 515*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*2\/8*2. Let s be -3*(1 + u - 0). Is (-35)\/s - (-10)\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-10)\/(-120) + (-353)\/(-6). Suppose 114 = v + 5*u - f, -u = -4. What is the lowest common multiple of v and 9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a micrometer in nanometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.1 - 1.1. What is the nearest to 1 in k, -2, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1144926630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*p = -5*p - 811, 0 = 4*m + 5*p - 3295. Let i = m + -2459\/3. Factor 0 - i*q**2 + 2*q.\nAnswer: -q*(q - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1883 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21128957 to the nearest integer?\nAnswer: 4597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -54895 (b) 0.2 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1611 divide 406433899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -64 * -0.073\nAnswer: 4.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((-6*-1*sqrt(143) + sqrt(143) - (sqrt(143) + (sqrt(143) - sqrt(143)*-2*5) + sqrt(143)))*-6)\/((2*sqrt(132)*1)\/(sqrt(60)\/(sqrt(15)\/sqrt(3)))))**2.\nAnswer: 4215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 35*b**2 - 120*b + 3. Determine l(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1411008 divided by 44?\nAnswer: -352752\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1. Let y(b) = 6*b - 2. Suppose -36*q + 95*q - 72 = 47*q. Determine q*k(u) + 2*y(u).\nAnswer: 12*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 3, -6 in decreasing order.\nAnswer: 3, -1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suzz when four letters picked without replacement from {j: 1, s: 3, v: 2, z: 6, u: 4}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + 3*y)*(2*y**2 + y - 2*y**2 - 3*y**2).\nAnswer: -3*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 4, 1.807, -1\/2, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188260 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 27897466\nAnswer: 1\/27897466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - i = -123, -33 = -4*g + 4*i + 115. Let a be 20\/3 + 0 + g\/(-60). Solve j - a = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 22113 + 22113.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 494, 982, 1468, 1952, 2434?\n\"Answer: -y**2 + 491*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 530383 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3553, -3558, -3563, -3568?\nAnswer: -3573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*b = 20, 0*y + 22 = 2*y + 4*b. Solve f - 16 = -y*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 346 - 32. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32567160 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1535234*d**2*f**3 - 20*d*f**2 + 62*d*f + d + 2*f**3 + 27 wrt d?\nAnswer: -3070468*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8928 and 648?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 157 and -11323658?\nAnswer: 11323815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.1, 27, 1\/2, 253 in decreasing order.\nAnswer: 253, 27, 7.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igggggi. Give prob of sequence giig.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, v: 6}. Give prob of sequence avvv.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758688049?\nAnswer: 7, 61, 1776787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30235420 + 45?\nAnswer: 30235465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4102670221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l - 11. Suppose -2*j = 4*t + 28, 2*t + 17 = 2*j + 3. Let a be y(t). Let p be 1*(1 + -2)*-5. Solve a = f - 2*v - 2*v, -3*v = p*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 457*w - 4. Let r(b) = 2*b**2. Calculate r(t(m)).\nAnswer: 417698*m**2 - 7312*m + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**3\/3 + 5*y**2\/2 + 3*y - 4. Let w be a(-5). Solve w*o - 12 = -0*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110001010011110 - 1011010?\nAnswer: -11110001011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from yxsyysysysxxsssxs?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77 - (97 - -56)) + 66?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.65 + -0.35. Let d = 19.6 + i. Let c = d - -3.49. Round c to one decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, w: 2}. Give prob of sequence aww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -18a (base 12) to base 9\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1365, -1372, -1383, -1398, -1417, -1440, -1467?\nAnswer: -1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 194.\nAnswer: -58.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 6*d - 6. Let g be f(-6). Let u = 8 + g. Suppose 0 = -x - 5, -u*l - 2*l - 5*x - 9 = 0. Solve -4*q = -3*v - v + l, -2 = -2*v - 2*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 1. Suppose 4*m = 2*a - 0*m + 8, -a = -4*m + 6. Let t(b) be the second derivative of -2*b**3\/3 + b**2 + 9582*b. What is a*t(u) - 5*x(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/16*2 - 2\/(-4). Which is the closest to -6\/11? (a) 1 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 189*r + 4273. What is p(-26)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1745?\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 41*c - 2074. Calculate p(50).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2934 equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v + 4. Let y = -4.4 + 6. Let d = y + -0.6. Which is the closest to d? (a) -3 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 - -46. Suppose 4*l - j = l. Let i = 0.3 - 0.7. What is the smallest value in i, 0, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56676 is divided by 3832.\nAnswer: 3028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 0.1 (c) 5 (d) -21 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*x - 2*x + 5, j = -2*x + 2. Suppose n + n - 14 = j. Calculate the remainder when n is divided by 2 + (3 - (0 + 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/60)\/(2\/12). Solve 5*o = -l*s + 2*o + 11, -2*s + 5 = o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 0.097, -6, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (462\/35)\/2 - (-15)\/(-25). Let a(k) = -7*k + 48. What is a(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-16)*-8*(-56)\/(-4)*-1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 911, 7697, 19007, 34841, 55199, 80081, 109487?\n\"Answer: 2262*g**2 - 1351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 7*f**5\/10 - f**4\/8 - f**3\/3 - 4*f**2. Calculate the remainder when l(-1) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 0*u + 3*u**3 + 2*u)*(1 - 1 - u) to the form s*u**3 + m*u + h*u**4 + j + z*u**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-572)\/(-100)*2*5. Let j = -58 + a. Put 4, -1, j, 7 in ascending order.\nAnswer: -1, j, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4267422 and 68\/5135.\nAnswer: 277382430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) + (-2)\/5. Suppose m + 2*m - 24 = -3*n, 0 = -3*n + 5*m - 16. Suppose t = -q - 5*a + 84, n*q - a - a - 167 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 5*y - 10*y)*(0 - 4 + 3)*(-2 + 4 - 3).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -497, -2254, -5609, -10910, -18505, -28742?\nAnswer: -41969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000360209 rounded to seven decimal places?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -14*f + 17*f. Suppose -3*b + 441 - 87 = 0. Suppose 4*u - 152 = -f*a, -4*a + b = 2*u + 34. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8*j = -20, 4*j = -3*s - 52. What is the remainder when ((-4132)\/10)\/(-2) + s\/(-60) is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 2*f**2 - 87. Let k be (-2 + 1 + 1)\/(-1). Suppose 2*l - 4*o = 6*l + 32, k = -o - 5. Calculate a(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 296046 + 2*u + 0*u - 296043 + 57*u**3.\nAnswer: 57*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.014, -0.3, -1, 3, 1.65, 2\/9 in increasing order.\nAnswer: -1, -0.3, 0.014, 2\/9, 1.65, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223302?\nAnswer: 2, 3, 37217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 77. Let g be j(-20). Let q = -97 + g. Suppose q = 9*v - 23 - 4. Solve -k = -2*k - v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -737 - -647 - (-120 + 12).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 5*a**2 - 6. Let l be x(5). Let o(c) be the second derivative of 3\/2*c**2 + 0 + 1\/20*c**5 + 1\/2*c**4 + 1\/2*c**3 - 46*c. Give o(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 6 + -4 + 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 3.86 (c) -2\/29 (d) 1 (e) 7\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 109 = -3*m, -k - m - 103 = -6*k. Let g = 33 + k. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 - -412992?\nAnswer: 412994.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 7 - 1)*((-4*w + w + 2*w)*(-2 + 0 + 0) - 4 + 4 - 4*w - 5*w + w + 3*w) as l*w + g and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2964810 - 2963050.197. Let p = 1774.4 - m. Let d = 0.003 + p. What is d rounded to 0 dps?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 7*x = -5*r - 10, 0 = 2*x - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38235397?\nAnswer: 17, 2249141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (11 + 0 + -1)*(-18)\/(-36)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, b: 3, o: 2}. Give prob of picking 2 e and 1 b.\nAnswer: 63\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008828 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1361565025?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -182323.6 rounded to the nearest one thousand?\nAnswer: -182000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 6:13 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*1*-5 + (sqrt(208) + -1)**2.\nAnswer: -13*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 617028 = 1093522. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 10*o**2 + 2*o**2 + 1 - 16*o**2 as r*o**2 + d + f*o and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960014.\nAnswer: 2, 11, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 0.0155?\nAnswer: 0.0155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + (21 - -31) - (-5 - (5 - 26))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17 - -18) + (-1)\/(-2)*2. Let k(c) = -3*c + 11. Let s(l) = 1. Determine f*k(p) - 22*s(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysrapyy. What is prob of sequence rsy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 827 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -77383716 - 21811\nAnswer: -77405527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from tlddyfd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17594480, 35188947, 52783402, 70377839, 87972252, 105566635?\n\"Answer: -p**3 + 17594474*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 - 329*p + 329*p + 2*p**3.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 25*u**3 - 10*u**2 - 10*u. Let z(a) = a**2 + a. Give -j(v) - 10*z(v).\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 2:18 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0*a + 0*a)*(0*a**2 + 5*a**2 - 2*a**2) + 0*a**3 + 0*a**3 - a**3 + (-1 - 2 + 1)*(-2*a + 2*a**3 + 2*a).\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*l = 18. Let j be -3*(l\/3)\/2. Find the third derivative of -37*a**j - 5*a**5 - 12*a**2 + 37*a**3 wrt a.\nAnswer: -300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -5781 (b) -1 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 1956312\nAnswer: -391262.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 14*j - 6. Let l(n) = -n**2 - 4*n + 39. Let t be l(-8). What is v(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -424511648.77338 + -2.\nAnswer: -424511650.77338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*y + 12, 3*b + 5 = -y - 13. Let z(g) = 3*g - 7. Let u(i) = 79 - 26 - 29 - 23. Determine y*u(d) - z(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95562861?\nAnswer: 3, 23, 769, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-487 + 314 - 636 - 728 + 131)*(-1 - j**3 + 1) as f*j + x*j**3 + u + k*j**2 and give x.\nAnswer: 1406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - l**2 - l + 521. Let z be -1*-1*(2 + -2). Let s be g(z). Let h = s - 5203\/10. Calculate the common denominator of 3\/11 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360035*k = -359821*k - 1284 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-2 - 0) + (-7 - -8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 590.1511us in seconds?\nAnswer: 0.0005901511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jddj when four letters picked without replacement from {d: 5, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41229 - -60541. Does 34 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-3 - ((-119)\/7 - 3)*-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**5\/5 - 4*o**3\/3 + 4*o**2 + o. Suppose -4*r + 2*r = 12. Let q(s) = -9*s**3 + 17*s - 17. Calculate r*q(p) - 13*c(p).\nAnswer: 2*p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -20. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46756.98 weeks in minutes?\nAnswer: 471310358.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 17*a**6\/30 + 177*a**2 - 7*a + 5. Differentiate h(k) wrt k.\nAnswer: 68*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/6)\/(2*1). Let z(l) = g*l - 5*l - 3 - 2*l**3 + 4 - 7*l**2. Calculate the remainder when z(-5) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j**3 + 5*j**2 - 12. Let r(g) = -g**3. Let l(t) = -f(t) - 3*r(t). Find the first derivative of l(u) wrt u.\nAnswer: -18*u**2 - 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.18 + -0.18. Which is the third smallest value? (a) 0.1 (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 23.73, 41, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 64253 = -5*z - 538, 254809 = 4*m + 3*z. Round m to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 50*z**2 + 453*z - 128. Give q(-38).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 479961 and 270?\nAnswer: 14398830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.122 - -0.222. Are 1 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 516112 is divided by 481?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epe when three letters picked without replacement from {e: 3, p: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9040757?\nAnswer: 11, 74717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41, 66, 239, 472, 759, 1094?\n\"Answer: -b**3 + 39*b**2 - 3*b - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 10. Suppose 20*j - 340 = 3*j. Suppose -j = -5*i + 5*f, -4*i + 14 = -2*i + 4*f. Sort i, g, 3 in decreasing order.\nAnswer: i, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 6*z**2 - 9)*(10*z**2 - 18 + 18) - z**4 - 4*z**4 + 4*z**4.\nAnswer: -61*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069707 rounded to 4 decimal places?\nAnswer: 0.0697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*x - 188*x + 487558 + 1237574 = 0. Which is smaller: 7405 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408700 rounded to the nearest 10000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704)*3 + 2 + sqrt(44) - (((sqrt(2695) - sqrt(2695)*-1)\/sqrt(5))**2 + 0).\nAnswer: -2154 + 26*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 18, 0, 3, 164 in decreasing order.\nAnswer: 164, 18, 3, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25768447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*s**4 + 6*s**2 - 22*s - 40903.\nAnswer: -212*s**3 + 12*s - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxjjxrxkxjj. What is prob of sequence rjj?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 96137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(100)\/sqrt(4))\/sqrt(5))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111043125 and 380.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**3 + 2*v - 2. Let t be o(2). Let r = -1012 + 1048. Let q = t + r. Calculate the remainder when q is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 76 = 6*k. Suppose 5*l + 6 + k = 0. Let o be (1 - 18\/22) + 0. Put -0.3, o, 5\/2, l in descending order.\nAnswer: 5\/2, o, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 7 = -4*p + 13, 2*p - 19 = 5*h. What is the closest to -0.4 in h, 4\/7, -4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 36420?\nAnswer: 36420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eezeeeeeezeeez. Give prob of sequence zeze.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 6 + -11 + -26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60934521?\nAnswer: 3, 23, 883109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + -2 - (-510 - -491)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1\/2 (b) 0 (c) 3\/4 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -36*h**3 - h**2\/2 + 227*h - 128. What is the derivative of w(b) wrt b?\nAnswer: -216*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 4*d**2 + 2*d + 6. Let b be (-8)\/44 + 90\/11. Suppose -b = -h + 3*h. Let c be h + 2 - (-6)\/(-3). Determine f(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -304 at least as big as -270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82604115 by -27534705.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 204020542?\nAnswer: -204020551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7 = -0*l + l, 2*l - 4*r + 6 = 0. Let i(w) = -16*w**3 + w**2. What is the remainder when l\/2 - (-195)\/6 is divided by i(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 74) + 39 - -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 165868 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-3)\/36)\/((-280)\/168)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 16*p. Let j(i) = i**2 + 70*i - 70*i. Give j(o(s)).\nAnswer: 256*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 3 + 9 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63\/9 + -11 - -383 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -473*v - 31171 = -546*v. Calculate the highest common divisor of 21 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 169*k - 1. Is q(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-3) - (-1)\/1. Let f be (2 + h)*0*-1. Suppose f*i = i - 11. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 7084\/224 + -27.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -110100111000001100?\nAnswer: 110100111000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3444, 6940, 10434, 13926, 17416?\n\"Answer: -i**2 + 3499*i - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -381*m**4\/2 - 1119*m**3\/2 + 1167*m**2\/2 + 2547*m\/2 - 1107 = 0?\nAnswer: -3, -246\/127, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -129*u + 1. What is the remainder when q(-1) is divided by 118?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 4, 4\/3, 126, 152, 0, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Let w = 0 + j. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86864 or -3213952\/37?\nAnswer: -86864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 271 and 1107035?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-6) - (-366)\/4) + 2. Let i = 49 - s. Is -2\/7 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xyxxyyxyyy. Give prob of sequence yxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 2*n**2 - n**2)*(-2*n**2 - n**2 + 5*n**2) - 2*n**3 + n**4 + 102769 - 205590 - 7*n + 102799.\nAnswer: -n**4 - 2*n**3 - 7*n - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 8:42 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42\/(-140) - 1413\/(-10)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**2 + 5*n**2 - 121 + 240 - 16*n**2 - 119.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*d - 108*d = -33*d + 3372 + 228 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -4 (c) 132\/337 (d) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.578 + -0.378. Which is the closest to 2\/9? (a) 10 (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 697 + -697.4. What is the closest to 0.039 in m, 5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 2. Let j be l(5). Solve 0 = -j*y + 7*y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*s - 206*s = -45 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v = -4*l - 1845, 4*l = 0. Let c = -25 - v. Let f = 15 - -28. Calculate the highest common factor of f and c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1163, 9646, 32673, 77516, 151447?\n\"Answer: 1212*c**3 - c - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 183049879 * 0.2\nAnswer: 36609975.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*z - 12 - 14 = 0, -1 = -3*d - 4*z. Put d, 4, -2\/11 in descending order.\nAnswer: 4, -2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/14*14\/(-4). Suppose 4*r + 255 = 5*x + 42, -3*x - 2*r = -119. Let l = x + -37. Solve l*g + 14 = -b for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-1*(4\/((-20)\/(-5)))\/1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 14215 = 3135. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3601, -7202, -10803?\nAnswer: -14404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88968472 a multiple of 16077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1575 - -2625. Round s to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 10:23 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 5*d - 3. Let c be n(3). Suppose -2*a - 2 + 30 = -c*v, 16 = -4*v. Let o = -6 + a. Solve -o*i + 4*b = -10, -3*b + b = -5*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o - 18. Let t(d) = -1. Let z(i) = 5. Let k(w) = 4*t(w) + z(w). Let n(g) = 18*k(g) + u(g). Let x(h) = h. Determine n(x(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 6 = 0. Suppose g - k = 3. Suppose -3*n + 11 = f, 0 = -n + 2*f - g - 2. Solve 0 = 3*d + n*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and 6153?\nAnswer: -738.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13*m**2 - 32*m - 57. Let f(i) = 19*i**2 + 48*i + 85. What is 10*d(g) + 7*f(g)?\nAnswer: 3*g**2 + 16*g + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27*(-5 - 1)*(-20)\/40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b - 2*b)*(-1 - 2 + 5 - 3 + 7 - 3 + (2 + 3 - 3)*(-2 - 2 + 2) + 0 + 1 - 3 - 4 - 2 + 5)*(-3*b**2 + 0*b**2 + 0*b**2).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -700 + 692. Which is smaller: q or 3\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 634*n - 24 - 269*n - 362*n + 24.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 167770663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2311 - -8895. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7923*g + 10765*g + 134739 = 3717*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2472*h + 2405*h + 2475*h - 7372*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 602328 and 602333 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -21. Let f(z) = z**2 + 1. Let g(q) = 8*q**2 + 3*q + 12. Let t(w) = -18*f(w) + 2*g(w). Determine t(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1635 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 - 30922*c**2 + 3881259*c + 11922048.\nAnswer: -(c - 128)*(c + 3)*(c + 31047)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -50 - -40) + 178 + -33.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2982 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 0)*(-17*r + 67*r + 14*r).\nAnswer: -384*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -47 (b) 3\/4 (c) 2 (d) -182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-599.567.\nAnswer: -5.99567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from mpppmmm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 350*a**3 + a + 20 + 438*a**3 + 52*a**3 - 83*a**3 wrt a?\nAnswer: 4542*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 12*t + 736. Let x be b(-16). Sort -4, 0, x.\nAnswer: -4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 8. Give b(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -166 + 167. Let y be 175\/10*(u - (-1)\/(-5)). Solve -d - 4*p = -3*d + 4, 0 = 5*d + 2*p + y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**2 + 28*z**2 - 37*z**2 - 17*z**2 + 52*z**2.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 149884380 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 2, p: 2, k: 1}. Give prob of picking 1 f and 1 k.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7387 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 d(n) be the first derivative of -10*n**3\/3 + 825. Let y(q) = 7*q. What is d(y(x))?\nAnswer: -490*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 2. Let r(i) = -2*i - 3. Let d(a) = -3*r(a) - 5*w(a). Suppose g = -3*g + 4. Let s be ((-2)\/(-4))\/(g\/(-6)). Determine d(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7))**(-1\/4)\/(p**0*p*p\/p**(-2)))**44 assuming p is positive.\nAnswer: p**(-1210\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -65)*12\/14. Let g be 0 + (3 - 4) - -7. Calculate the highest common factor of t and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 4 (c) 2.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.54 + 1.4. Let o = -0.14 - g. Sort -0.5, o, 2\/19 in descending order.\nAnswer: 2\/19, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(2\/5)*l)\/l*l)\/(l\/((l\/((l\/(l\/l**(-3\/4)))\/l)*l)\/l))*(l**(2\/15)\/l)\/(l*l*l**1))**(-3\/2))**(-3) assuming l is positive.\nAnswer: l**(-129\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 2\/17, -51028, 0.2, -1 in decreasing order.\nAnswer: 0.2, 2\/17, -1, -3, -7, -51028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 4*v**2 + 282*v - 55. Let q be p(-19). Sort q, 4, 6, 7, -12 in ascending order.\nAnswer: -12, q, 4, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2469.924755 rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -574833, -574994, -575151, -575304?\nAnswer: -575453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57967*t - 2844 = 57888*t for t.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 99339216 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4\/11, -1.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6)*(-1 + -5). Let i be (k + -1)\/(-1)*5. Let t be (-8)\/20 + (3 - 3). What is the nearest to t in i, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i - 4. Let a be c(-2). Let x = a + 24. Let v(t) = t**2 - 12*t + 2. Let d be v(x). Solve 2*z = -2*b - d, 2*b = 4*b - 3*z - 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/6)\/(5\/(950\/(-38))*20\/(-12))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12 + 15?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g + 22*g + 26*g as l*g + w and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48392813 or -48392812?\nAnswer: -48392813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*d + 107 - 1896 - 443 = 0 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 448\/48*24\/14. Let a = -12 + k. Let v(t) = -t**3 + 6*t**2 - 6*t + 7. Let n be v(a). What is the highest common divisor of n and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001111110111001001000 (base 2) to base 6.\nAnswer: -245012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - cab682?\nAnswer: -cab687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -118*a**3*c*n + 8*a**3*n**3 - a**2*c*n**2 - 9*a**2*n**3 - 2*a*c*n**3 wrt n.\nAnswer: 48*a**3 - 54*a**2 - 12*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + q - 2 = 2, 3*n = -5*q - 16. What is the remainder when 7 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x + 351*x**2 - 361*x**2 + 1 - 1.\nAnswer: -10*x**2 - 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 4*d**3 + 8*d**3)*(-d + 4*d - 2*d).\nAnswer: 11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214 - -221. What is the units digit of (-2 - 1)\/(x\/(-2828)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32358, 56691, 72996, 81273, 81522, 73743, 57936?\n\"Answer: -4014*r**2 + 36375*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -488 - -493. Suppose 2*a - 2 = -5*i, g*i = 9*i - a + 1. What is the second biggest value in i, -0.253, 1, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 - 59 = -11*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13577\/(-4) + 16\/(-8). Let m = j - -3429. Let h = -95\/2 + m. Calculate the common denominator of -1\/3 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y + 45. Let x(c) = c**2 - 3. Let q be x(3). Suppose 2*z + a + 2 = 2*a, -5*z = -3*a + q. What is the tens digit of k(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258624702 divided by 42?\nAnswer: -6157731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51704531 - -3?\nAnswer: 51704534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -203, -194, -183, -170, -155, -138?\n\"Answer: m**2 + 6*m - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3121, 3122, 3123, 3124?\nAnswer: 3125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbe when three letters picked without replacement from eeebebeeee.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/50266 and -95\/2452.\nAnswer: 100532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*z + 50, 3*z + 19 - 4 = -c. Calculate the common denominator of 9\/32 and c\/(-18)*20\/(-56).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2033957 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 5:23 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000022237 rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 16. Let v be u(7). Suppose -2*o + 4*a - 2*a + 10 = 0, -v*a + 26 = 2*o. Is 9 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234581 (base 9) to base 6\nAnswer: -3005331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 213*i**2 + i + 2. What is the tens digit of m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + f + 6. What is m(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 445845 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*k + 2268 = 699*k for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 17, 636 in ascending order.\nAnswer: 0, 17, 636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -10. Which is smaller: 0.2 or x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - x**4 + 28*x - 2 - 12*x to the form c + f*x**4 + g*x**3 + h*x**2 + y*x and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:02 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 - 4)*(-5*h**4 + 2*h**4 + 2*h**4) + (-3*h**2 + 5*h**2 - 3*h**2)*(-3 + 0 - 37*h**2 + 1) in the form y*h**2 + v*h**4 + w*h + x*h**3 + z and give v.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -14. Let x(j) = -4*j - 4. What is x(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8319*z + 58255. What is u(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*-1 - 1160*(6 - 7). Let z = -698 + d. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -91?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*q - 50 = -75*q. Let d(r) = 3*r - 5*r - 1 - q*r + 4*r. Suppose 4*a - 16 = -0*a. What is d(a)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**4 - 405871*p**3 - 2*p**2 + 1026962*p?\nAnswer: -12*p**2 - 2435226*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 387049 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t - 1. Let j(p) = -4*p - 2. Let c(g) = -5*d(g) + 2*j(g). Find the first derivative of c(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 6:07 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33 - -4) + 31 + 26.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41 - 44. What is the units digit of 1 - -1*(p - -40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*9\/((-9)\/(-3)). Let g be (-6)\/15 + (432\/(-40))\/3. Let c = 1\/454 - -677\/1816. What is the third smallest value in g, z, -2\/11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/64, -3, 7, 15.\nAnswer: -3, -1\/64, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrrrwrrwrrrr. What is prob of sequence rrr?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, j: 2, z: 6}. Give prob of picking 1 j and 1 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-18)\/24) + -2. Solve -n - 1 = 2*v, 3*v - v + a = -2*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 313, 864, 12 in increasing order.\nAnswer: -1, 12, 313, 864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h**2. Let m(g) = -g + 4*g - 4*g + 106 - 107. Let b(l) = -4*l - 5. Let a(k) = -3*b(k) + 15*m(k). Give a(y(u)).\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.13049 and 2.\nAnswer: -0.26098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -18*l**3 - 2*l**2 - 3*l - 3. Let k be b(-1). What is the greatest common divisor of k and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 1508*j**2 + 0*j + 9*j**2 - 2*j.\nAnswer: -1499*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 900138 and 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 7930533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.051 - 39.051. Let o = g + 38.742. Let p = -0.259065 - o. Round p to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, 20\/137, 10\/21, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 131331332 (base 4) to base 3\nAnswer: 20020101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -48912, -48894, -48862, -48810, -48732?\n\"Answer: u**3 + u**2 + 8*u - 48922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 + 7*c - 946\/3.\nAnswer: (c - 22)*(c + 43)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2555 + 2?\nAnswer: -2553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (6*(sqrt(363) + 1) - (sqrt(363) - (6*(-2 + sqrt(363)) + sqrt(363)) - sqrt(363)))**2.\nAnswer: -1716*sqrt(3) + 61374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/735 and -101\/12180.\nAnswer: 85260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x**3 + x**2 - 7*x + 5. What is h(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/17, 4\/7, 6\/557, 5\/27 in decreasing order.\nAnswer: 4\/7, 5\/27, 6\/557, -1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -5. Let x = -954 + 949. Sort -1\/4, s, x in ascending order.\nAnswer: x, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 17*w**2 - 2*w - 70. Let j(d) = d**3 - 8*d**2 + 7*d + 12. Let v be j(6). What is the units digit of o(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 4*z - 6*z. Let q = 87 + z. Let m(f) be the third derivative of -f**5\/30 - 5*f**4\/24 - 2*f**3\/3 - f**2. What is m(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 7:21 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 + 7*s**3 - 6*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 3 - 3)*((x**2 - 14*x + 14*x)*(6*x + 3*x - 5*x) - 5*x**2 + 7*x**3 + 8*x**2 + x**2) to v*x**4 + o + i*x**2 + d*x + q*x**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -21*j - 70. Determine b(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + y = 2*l - 117, -4*l = 5*y + 81. Let x = -19 - l. Solve -3 = -2*a + x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.6 - 6.7. Let k = q - -4.4. Put k, 5, 8 in decreasing order.\nAnswer: 8, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/2070 and -91\/9810?\nAnswer: 225630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (0 - 6) + -10 + 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -44, 66.109, -4, -0.3, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -71 (b) 9 (c) -4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 10 = 2*i. Let q = i + -25. Let g be 2\/q*-39*1. What is g rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:41 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 201*q**5\/20 + 43*q**4\/6 + 11*q. What is the third derivative of t(s) wrt s?\nAnswer: 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k - 32 = 19*k - 3*l + 46, 496 = 3*k - 206*l for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94172*g**3 - 250*g**2 + 17*g wrt g?\nAnswer: -565032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992770?\nAnswer: 2, 5, 99277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/((1 - 4)\/3). Let g = -4 + l. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179520 divided by -6.\nAnswer: 29920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.084 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c*o - 1048327*c + 1185168*o with respect to c.\nAnswer: 3*o - 1048327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 60645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54040 or -54059?\nAnswer: -54059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -72.66 (c) 0 (d) -11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3722074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -16*z**5\/9 + 1174*z**4\/9 + 384*z**3 - 20402*z**2\/9 + 25820*z\/9 - 3344\/3 = 0.\nAnswer: -6, 1, 11\/8, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6125143 (base 7) to base 12\nAnswer: -2b206a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f - 5. Let t = -21260 + 21259. Let v(d) = 0 - 1 + 0. Calculate t*h(m) + 4*v(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 6. Let r(d) = d - 9. Let y be r(9). Let u = 0 + y. Solve u = h - n*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430246 is divided by 239?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6204 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1275*a**6 - 2*a**4 - a**3 + 2038*a**2?\nAnswer: -153000*a**3 - 48*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 5*d = -12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -74 + 164. Let z = -44 + q. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5434243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 14 - 4. Put m, 5, 2 in descending order.\nAnswer: 5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*z**5 - 9053*z**4 + 2*z - 5141 wrt z?\nAnswer: -100*z**3 - 108636*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -6060, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2353\/25266 or -1?\nAnswer: -2353\/25266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 492*y**2 - 981*y**2 - 55 + 481*y**2.\nAnswer: -8*y**2 - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40204373 a multiple of 540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**6\/360 - f**5\/20 + f**4\/8 + 7*f**3\/3 - 7. Let c(p) be the third derivative of r(p). Calculate c(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -58 (b) 27\/5 (c) 5 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13b30d7 (base 14) to base 11\nAnswer: 544a101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - b32eb82?\nAnswer: -b32eb88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15*(0 - (-2)\/(-5)). Let u = l - 3. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d + 10*d + 5*d - 14 + 8*d wrt d.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36574309?\nAnswer: 1709, 21401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.14, 5\/26, 3 in decreasing order.\nAnswer: 3, 1, 5\/26, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/35 - 1)*(-96)\/36. Suppose 3*k = a + 8, -4*a + k - 17 = 4*k. What is the closest to 0 in 3, a, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75274 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 4*f - 2. Let k be (f - 11\/(-5)) + -2. Let p = 1 + -3. Which is the second smallest value? (a) k (b) -0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 198 + 72. Does 59 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -589, -1309, -2315, -3607?\nAnswer: -5185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 0, -2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -r + 51, 3*r + 5*b - 21 = 102. Suppose v - 2*l = 9, 2*v + l = 6*v - r. Suppose y = 20 + v. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.532 + -4.19. Let y = 40.158 + z. What is y rounded to 0 dps?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srsr when four letters picked without replacement from rrsrrrrrsssrrrrsrs.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*n + 21, -2*n = -5*d + 2*n. Let t = 272 + -271. Solve -j - 3 = -a, -j - a = d - t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**5 + 745*n - 2492*n**3 + 732*n - 1479*n + 993 wrt n?\nAnswer: 40*n**3 - 14952*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181*a - 1244 - 980 = -52. Solve -l = -w + 3, -a*l = w - 16*l - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -109*f**2 + 8*f - 8. Let g = -20 + 22. Let c(n) = -n - 4. Let i(a) = g*c(a) - s(a). What is the second derivative of i(o) wrt o?\nAnswer: 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 659*a + 739. List the prime factors of o(19).\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {f: 4, m: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 667180560 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 222 by -29.\nAnswer: -222\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - v - 79 + 63 = 0, 0 = a - 5*v - 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m**3 - m)*(0 - 5 + 3) + 34 + 49 + 12*m - 85 + 8*m**3.\nAnswer: 6*m**3 + 12*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 31*v**2 + 10*v + 313. Let y be p(-31). Solve 2*z - y*m - m - 2 = 0, -7 = -3*z + 4*m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1. Suppose 3 = -i - 1. Let y = l - i. Solve y*a = 13 - 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 5*o + 6*o)*(928*o**2 + 12*o - 379*o**2 + 6*o - 18*o).\nAnswer: 4392*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -72.9 and -4580?\nAnswer: 333882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2385 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 22*u - 51 = 2*z, -315 = -5*u - 2*z. What is the remainder when 729 is divided by u?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698458?\nAnswer: 2, 179, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 54. Let r = a - 54. Let l = -27.033 - r. What is l rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f - 148 = -8*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by -15.\nAnswer: 104\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 2508.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -35 (c) 9 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 15*z**3 + 12*z**3 - 1.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130221 (base 4) to base 10.\nAnswer: 1833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-20\/11)*p**38 assuming p is positive.\nAnswer: p**(398\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 0.157, 1.\nAnswer: 0.157, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*j - 36 = 134*j. Is (90\/j)\/((-1)\/114) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -11, -1, 5, 4 in decreasing order.\nAnswer: 26, 5, 4, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**4\/12 - 2*o**3\/3 - 3*o**2\/2 - 2*o. Let d be q(-4). Let h = 3 + d. Let n(w) = -w + 8. Calculate n(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 9. Let u be y(5). Suppose 7*z - 27 = u. Solve 0 = f + 3, 0 = z*r + 2*f - 0*f + 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7372 - -7349. Which is the second biggest value? (a) -5 (b) y (c) 0 (d) -1\/6 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 6. Let s be (-2)\/(-9) - (-25)\/r. Suppose -1 = -4*f + s*f. Let u(i) = 7*i. Determine u(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494002600956 minus 0.92?\nAnswer: 494002600955.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 23 = -4*g - 5*q, 0 = g + 2*q - 4. Put g, 0, -26, 2 in decreasing order.\nAnswer: 2, 0, g, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 148\/13*w + 0 - 2\/13*w**2.\nAnswer: -2*w*(w - 74)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1225679*41\nAnswer: 50252839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 1\/10*u**5 + 0*u + 1\/120*u**6 - 7\/24*u**4 + 0 - 1\/2*u**3 - 4*u**2. Give o(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 5*t**2 + 2. Let q be x(5). Suppose -q*y = y + 333. Let v = y + 186. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-182))\/(2\/8)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3116 or -1567?\nAnswer: -3116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 4 + 0*l - 3*l + 5*l - 2*l - 5*l + (1 + 2 - 1)*(-4 + 4 - 2*l) + 0 + l + 0.\nAnswer: -7*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/270 + -59\/270. Which is the second smallest value? (a) 0.02 (b) z (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m. Let x(r) be the third derivative of 89*r**4\/3 - 10*r**2 - 2*r - 3. Determine b(x(j)).\nAnswer: -1424*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126451 and 685?\nAnswer: 632255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 17*o**3\/6 - 20*o + 1. Let k(n) = -n. What is v(k(z))?\nAnswer: -17*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/27 and (-2 + (-624)\/(-315))*25\/(-30).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 888115451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, 3144 in descending order.\nAnswer: 3144, 7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k + 11*k - 68*k + 32*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5*q = 5, 40*z - 3*q = 45*z - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 7:48 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6600)\/(-12) + (-3)\/((-9)\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/12 - 36\/14. What is the fourth biggest value in m, -13, 2, 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222011031 + 21?\nAnswer: -222011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 385897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 76)*-6*(-2658)\/4. Suppose q + 5*s = -100985, -3*q - s + 5*s = b. Round q to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11*q*q**(7\/6))**(3\/11) assuming q is positive.\nAnswer: q**(79\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from daoajaoouojf?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 4, -3, -1085?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**3 + 112*x**2 + x + 248 wrt x.\nAnswer: -12*x + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34624 + 34624.4. Which is the second smallest value? (a) 0.2 (b) h (c) 5 (d) 2\/11 (e) -0.094\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.269816546\nAnswer: -0.134908273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1264 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 1. Let a be w(-3). Suppose a*p = 122 - 10. Let h = -9 - -16. What is the greatest common factor of p and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79791424?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*r**3 + 12*r**2 + 3061*r?\nAnswer: -42*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4703*w = -4684*w - 76. Let s = 10 - 6. Solve -s*d + w = -5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1687 not equal to -1681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 25*p - 105 - 2*p - 10*p - 7*p - 5*p. Let c(v) = 3*v**2. Determine c(b(j)).\nAnswer: 3*j**2 - 630*j + 33075","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126224.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 122*q = -119*q - 771, -q + 457 = 3*l. Let z be (-1800)\/54*(-21)\/2. What is the greatest common divisor of l and z?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2427 - -2491. Let u(f) = -f**3 - 3*f**2 - 2*f + 7. Let o be u(-5). Let b = o - k. Calculate the smallest common multiple of 11 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -156*s + 1769. What is k(13)?\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*l = -101*l - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29\/12 + -11\/4. Let v be (-42)\/49 - 100\/14. Let w be (-23 + 27)*(-14)\/v. Which is the nearest to t? (a) w (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 1225, 2, 0.2 in descending order.\nAnswer: 1225, 2, 3\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrbit. What is prob of picking 1 j and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by (-2)\/10 - 1728\/(-90).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -653, -45, 5 in increasing order.\nAnswer: -653, -45, -9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -b**4\/24 - 3*b. Solve s(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p**3 - 3*p**2 + 2*p - 13. Let c be x(6). Suppose -c = -13*f + 567. List the prime factors of f.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 9:10 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4*48\/9. Suppose -4*d - 2*z = -v, -2*d + 4 = -z + 5*z. Which is the nearest to -1? (a) 4 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 84*o = -88*o + 2416, -1198 = -2*s - 4*o. Calculate the lowest common multiple of s and 783.\nAnswer: 5481","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118623630.\nAnswer: 2, 3, 5, 29, 59, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*i + 1 + ((6 - 3 - 1)*(-5*i - i + 0*i) + 3*i - 5*i + 3*i)*(-1 + 4 - 5) + 2 - i - 2.\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1374.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -25, 2\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 > -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -56*l + 17. Let c(s) = 28*s - 8. Let n(k) = -5*c(k) - 3*d(k). What is the first derivative of n(r) wrt r?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {i: 2, s: 7, c: 3}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - 1001?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 14*q**2 + 12*q - 12. Calculate the remainder when c(-10) is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7597 - 7595. What is the biggest value in 20, 25\/3, a?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 0.89?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 + 146 - (0 - 5). Suppose -5*i + 814 = z, 4*z + 4 + 0 = 0. Is i less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**4 - 2*n**3 + 7*n + 2. Let a = 30 - 28. Let p(h) = -h**4 - h**3 - h + 1. Let f(m) = a*p(m) - c(m). What is the second derivative of f(o) wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4456778 is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 18706245*g + 18706244.\nAnswer: (g - 18706244)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (2 + 2))\/(-17). Which is the nearest to -1? (a) g (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:50 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*l**2*n**3 + 249405*l**2 - 63532*l*n**3 wrt n.\nAnswer: -12*l**2*n**2 - 190596*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2cd (base 16) in base 14?\nAnswer: -393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -180ccc - -157?\nAnswer: -180b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8594 (base 12) to base 8\nAnswer: 34500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 9 + 77 + (-43 - 47) + -119\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 0 + 0*x**2 - 1\/42*x**7 - 2\/5*x**5 + 0*x**3 - 1\/6*x**6 - 4*x - 1\/3*x**4. Factor i(c).\nAnswer: -c**2*(c + 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 68524, 273447, 614772, 1092499, 1706628, 2457159?\n\"Answer: 68201*b**2 + 320*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1167847 + -859.\nAnswer: -859.1167847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**3 + 9*c**2 + 9*c + 3. Let q(r) = r**3 - 4*r**3 + 203*r + 6*r**2 + 2 - 197*r. Let d(l) = -8*q(l) + 5*w(l). Factor d(v).\nAnswer: -(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 2*a**2 + 2*a - 2. Suppose -t + 32 = 3*t. Let c(d) = -d - t*d**2 - 6*d**2 + 13*d**2 + 1. Calculate 2*c(x) + i(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -655 + 566. Let j = q + 89.1. Let f = 15 - 15.28. Which is the smallest value? (a) f (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.055 + 4.555. Which is the closest to 2\/9? (a) q (b) -6\/23 (c) -0.4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -3044, -8509, -16620, -27389?\nAnswer: -40828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -99110, -198570, -298030, -397490, -496950?\n\"Answer: -99460*j + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.344 - 0.044. Let g = 3.4 + -4. Which is bigger: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153761508 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/26985 and 11\/13755?\nAnswer: 3535035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 113833053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -38c60 (base 15) to base 13\nAnswer: -648c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -189 (c) -8.5 (d) -11\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -10, 5, 5\/2, -0.111, 4 in decreasing order.\nAnswer: 16, 5, 4, 5\/2, -0.111, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 2402095.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 10*k**2 + 11*k + 3. Let x be b(9). Suppose -4*l + i = -2*i + 1, -3*l + x = 5*i. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1588841)\/(-339350) - 0\/(-15 + 12). Let y = w + -3\/15425. Let u = -8477 - -67727\/8. What is the common denominator of u and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-5\/2)*q*q)\/(q**(1\/2)*q)*q*((q*q**7)\/q)\/q*q*q**7)**39 assuming q is positive.\nAnswer: q**546","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11)\/(-3) - 4)*-6. Suppose 3*c + 2*m = 214, -x*c - 2*m = m - 136. What are the prime factors of c?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4342 (base 5) in base 15?\nAnswer: 29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4738119 decades?\nAnswer: 0.004738119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*k + 2 - 5, -3*v = 2*k - 3. Let m = -4.05 - -0.05. Let p be (-10)\/(-4)*(-14)\/(-35) + -6. What is the nearest to 0 in p, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/13 - 80*t\/13 - 82\/13 = 0. Calculate t.\nAnswer: -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 104 + 12 = -3*m, -2*m - 4*j = -58. Let t = m + -17. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - 80\/100*5*1. What is the remainder when 56 is divided by (-27*z)\/((-36)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 22*y + 132. Give s(7).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13188727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40277 - 40264. Solve 402 - 467 = p*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -633 + 1522. Are 887 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6800 - -6800. Let m = 12\/5 + -41\/15. Sort y, 3, 5, m.\nAnswer: m, y, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 59 = -3*n - 0*k + 4*k, 4*k + 26 = -3*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/5 - 326\/(-815)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*6 + (sqrt(66) - -3*sqrt(66))*-4)\/((sqrt(240)*-1)\/(sqrt(1000) + sqrt(1000)*-2 + sqrt(1000) + sqrt(1000))).\nAnswer: 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*x, 0*t + 4*x = -t + 16. Let a(y) = -y**2 - 7*y + 33. Let f be a(-8). Suppose -s - 17 + f = 0. Calculate the smallest common multiple of s and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 3:28 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxqgxxxxxxqxxxxqqxxq. What is prob of picking 2 q and 1 x?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -51599702 divided by 1034\nAnswer: -49903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 6*z - 35. Let h(g) = g. Let u(o) = -6*h(o) - k(o). Let j be u(16). Let p = j + -93. Let n(f) = f - 7. Calculate n(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13\/2 + -7. Let m = -0.061 + -6.939. Let b = -116.3 + 111.3. What is the closest to i in -2\/13, m, b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 328050*m - 88573500 - 405*m**2 + 1\/6*m**3.\nAnswer: (m - 810)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 1530*c**2 + 27248*c + 48384.\nAnswer: (c + 2)*(c + 16)*(c + 1512)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1522, 6050, 13596, 24160, 37742, 54342, 73960?\nAnswer: 96596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.1 and 4.4?\nAnswer: 22.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -14. Find the second derivative of -6076*f**3 - 32*f + 25*f**g + 6076*f**3 wrt f.\nAnswer: 500*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -o**2\/2 + 84. Let v(f) = 54*f + 2. Determine v(z(k)).\nAnswer: -54*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -2049.4991?\nAnswer: 2049.6991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.0058 * 3.\nAnswer: 3.0174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 30 = 3*u - 0*u, -4*l + 5*u = 13. Suppose 0 = l*x - 0*i + 2*i - 88, -3*i - 106 = -4*x. Let k = 89 - x. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -8.42, -2, 0.0525 in descending order.\nAnswer: 0.0525, -2, -8.42, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 76 - 17 = 0. Suppose -4*l - h = -5*t + 10, 4*l + 5*t + 71 = 0. Let a be (-2)\/(-4) + 7\/l. Sort -5, 4, a.\nAnswer: -5, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 464250000 to the nearest one million.\nAnswer: 464000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0*-21.6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.03 + 1.97. Which is the nearest to 1\/2? (a) 8 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/7654 and 47\/12469078?\nAnswer: 536170354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -24277700 to the nearest one hundred thousand.\nAnswer: -24300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 64 - 64.36. Let c = -0.3584 - m. Round c to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.126798t to micrograms.\nAnswer: 1126798000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-45)*20\/(-12)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l**2 + 8*l. Let d(j) = -4*j**2 - 3*j. What is 8*d(b) + 3*q(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(13) + 3)*6)**2.\nAnswer: 216*sqrt(13) + 792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27034 - 11270. List the prime factors of w.\nAnswer: 2, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 5*i - 2. Let b be p(-4). Let q = b - -2. Let r(m) = m**2 - 6*m + 2. Let n be r(8). Solve -2 = q*a + n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 4155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 9039.\nAnswer: -1807.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 306498150511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -5, 646, 2 in decreasing order.\nAnswer: 646, 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 870 - 427 + 12816*h**2 - 443 - 12821*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 5*t - o + 10, -8 = -4*t + 2*o. Let i(c) = 2*c - 6. Let j be i(4). What is the least common multiple of j\/((2\/8)\/1) and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -38 - 39. Let g(x) = 107*x**2 + 672*x + 30. Let t be g(-6). Let o = u - t. Calculate the remainder when o is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 93192200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 33, -4 in descending order.\nAnswer: 33, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 1148425370066.\nAnswer: 1148425370066.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (26 - (1 + -15 + -1 + 3))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 968949379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4 - 235774*b**3 - 13897580541*b**2 - 27794453764*b - 13897108996 = 0. What is b?\nAnswer: -117886, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.035\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 24, -4, -1\/8, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 1\/3*u**3 - 6 + u + 1\/2*u**2. Let w be z(3). Solve -5*x = -5*b + 3*b - w, -19 = 5*b + x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2846, -5704, -8564, -11426, -14290, -17156?\nAnswer: -20024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2661 + -3?\nAnswer: 2655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*y**3 - 303*y**3 + 94*y**3 + 99*y**3.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 224\/(-336)*(-2)\/(-4)*8 - (-334)\/123\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-25)*(-10)\/(-3). Suppose -3*n - 4*o = s - 13, 0 = -3*n - 3*o + 12. Suppose 2*u + 200 = n*u. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 2.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1036 divided by 259.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 4*j - s, 0 = 2*j - 4*j - s + 59. Let v = j - 17. Find the second derivative of -u**2 + u**2 - 3*u**4 - 3*u**4 + v*u wrt u.\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q\/(q**1\/q))\/q))**(2\/3))**48 assuming q is positive.\nAnswer: q**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4510?\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*a**3 - 319*a**3 - 2*a + 596*a**3 + 2*a + 13*a**2.\nAnswer: -35*a**3 + 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1227 and 796985171?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(125)*-2 + sqrt(125)) - (-1*sqrt(125) + 5)) + -3 + sqrt(125) + 2*-3*sqrt(125) + sqrt(125) + sqrt(125) + -1*sqrt(125)*2)**2.\nAnswer: 640*sqrt(5) + 8064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**7\/210 - s**6\/15 + 8*s**5\/25 - 13*s**4\/30 - 11*s**3\/10 + 18*s**2\/5 + 437*s. Find t such that d(t) = 0.\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228.6 + 229. Let l = 12 + -12.01. Let i = l - 3.99. Which is the closest to -1? (a) -5 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 6*v**2 - 3*v + 2. Let z(n) = -3*n - 9. Let s be z(-4). Suppose 0*j - 75 = 3*j - 3*p, 2*j = s*p - 45. Let c = 25 + j. Give l(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(400)\/(-4*sqrt(8)*3) - (-5 + (sqrt(100) + 4*(sqrt(100) - 3*sqrt(100)) - sqrt(100))\/sqrt(2)))**2.\nAnswer: 475*sqrt(2)\/3 + 225913\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = 3*f. Let d be (3 - (f - -4)) + 2. Let t(s) be the first derivative of -s**3\/3 + s**2\/2 + s + 1. Calculate t(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*h + 4*h. Let j(f) = f**3 + 2*f - 1. Let p be j(h). Let b(q) = q + 2. Let r(y) = 1. Let c(g) = p*b(g) + 5*r(g). What is c(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (14 + -17)) + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + t + 4. Let n be h(0). Suppose -n*x + 590 = x. Let j = x + -588\/5. Which is the third biggest value? (a) -0.5 (b) -0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94470 by -5.\nAnswer: 18894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j**2 - 3. Let i(r) = -11 + 1 + 6 + 0 - 9*r**2. Give -5*i(p) + 8*n(p).\nAnswer: -3*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + d - d + (1 - 2*d - 1)*(1 - 1 - 2) + 2 - 2 - 2*d + (-14 + 7 + 14)*(-d + d - 3*d) as l*d + f and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -52653 (base 7) in base 15?\nAnswer: -3cd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -496, -0.3, 2 in decreasing order.\nAnswer: 2, -0.3, -496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 532 (base 12) to base 16\nAnswer: 2f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -568555444, -568555443, -568555442, -568555441, -568555440, -568555439?\n\"Answer: n - 568555445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -7. Let s = 8 - v. Let r(z) = 0*z**s + 3*z**2 + 4 - 7*z**2 + z**3 + 0. Determine r(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -650.8 - -651. What is the nearest to -0.2 in 3, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 34175268*j + 729968089294890.\nAnswer: 2*(j - 42719085)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2 - 66000*k + 264032 = 0?\nAnswer: -33004, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 9, -m + 3*m = -w + 8. Let j(p) be the second derivative of -1\/20*p**5 - 1\/2*p**3 + 1\/2*p**w + p + 1\/3*p**4 + 0. Determine j(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 227, 871, 1933, 3413, 5311, 7627, 10361?\n\"Answer: 209*k**2 + 17*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**3 + 6*w**2 + 3281*w - 2. Let u(v) = -5*v**3 - 10*v**2 - 3280*v + 3. Calculate 3*n(c) + 2*u(c).\nAnswer: 2*c**3 - 2*c**2 + 3283*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*(-20)\/(-3360)*-2*(-49)\/(-4)*1.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1*sqrt(1620))\/(sqrt(81)\/(sqrt(18)\/sqrt(2))) + -4).\nAnswer: -12 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 3*v - 9. Suppose v*y = 8*y - 15. Sort y, -20, 4 in increasing order.\nAnswer: -20, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051107 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5639 + 5813. Is b a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 155 = -m, -6*p + 605 = -3*m + 860 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 16*z**2 - 16*z - 13. What is u(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.21964884.\nAnswer: 0.65894652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 222, 198, 178, 162, 150, 142?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 54 = 2*p, 38*p - 44*p + l = -18 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-6))\/((-2)\/(-3)). Let t(x) = 2 + x**2 - 4*x - 3*x + 5*x. Suppose -841*j - 945 = -736*j. Let q(r) = 3*r**2 - 9*r + 9. Give i*q(s) + j*t(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, z: 2, i: 5}. Give prob of sequence rr.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10998 and 71355.\nAnswer: 261587430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, i: 3, k: 1, f: 2, w: 5, u: 1}. Give prob of sequence quf.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -16 + 34. Let a be (-6)\/(-27) - 47\/9. Let w = a - f. Solve t + 2*y - w = 0, -2 = -2*y - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/120*-3)\/((-40)\/800).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -19, -1, 8, -4\/5, 5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 97a58 - 2?\nAnswer: 97a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-1) + (-19)\/6. Which is the nearest to 1? (a) -1 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 6*j - j = 33, 0 = -4*j. Let f(g) = -g**3 - g**2 + 10*g + 25. Let l be f(-4). Calculate the greatest common factor of d and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8436 is divided by 438.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 11 = -3*k - 8*z, 3*k - z - 16 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 67 (b) -1\/2 (c) -4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100010111101111011 (base 2) to base 16.\nAnswer: -22f7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6964*p - 167. Calculate y(0).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 35377.963 to the nearest 1000.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 11:19 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/5, 0.1, -0.4524?\nAnswer: -0.4524","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2301*g**2*s**2 + g**2 - 18*g*s**2 + 109285*s**2 - 2*s wrt g?\nAnswer: -4602*g*s**2 + 2*g - 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**2 + 7*i**2 + 6*i**2)*(-2 - 1 + 1).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**5\/30 + o**4\/8 - 221*o**2. Let z(w) = -w**2 - w. Suppose 23 + 1 = -2*q. Calculate q*z(x) - 4*n(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1482664, -2965328, -4447992?\n\"Answer: -1482664*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 b when three letters picked without replacement from zfbzfbfbbazzbaf.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + (sqrt(1573)*4)**2.\nAnswer: 25169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20151*u - 3*u**2 + 4*u**2 + 20151*u + 4244*u**3.\nAnswer: 4244*u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + sqrt(147) + -3))**2 + 0.\nAnswer: -70*sqrt(3) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + -23243?\nAnswer: -23236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 p, and 1 m when three letters picked without replacement from pvmfffvvvvvffvffvfv.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 64 = -15*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**5\/15 - o**4\/6 + o**2\/2 + 5. Let a(q) be the second derivative of c(q). Solve a(g) = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -242 + 5132?\nAnswer: 4780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (112 - -23 - (22 - 1)).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3221 - -2.1821. What is the third biggest value in -12, v, -0.05, 0, 0.1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 - a**3 + 4*a**3)*(5 - 5 + 2) + 2*a**3 + 3*a**3 - 2*a**3 + 919*a**2 + 7*a**3 - 914*a**2 + 191*a**3.\nAnswer: 199*a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 9:25 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8094845, -8094803, -8094761?\n\"Answer: 42*a - 8094887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.49 - 11.49. What is the biggest value in 0, -0.4, 0.06, a?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4\/3 (b) -0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -3*j + 3*t, -103205*j + 3*t - 22 = -103209*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 8:07 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 9, y: 9}. Give prob of sequence ky.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 23 + 19. Let l be (7\/u + -2)\/(2\/(-12)). Solve l*s - 5*a = 25, 4*s - 9 = -2*a + 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246358401?\nAnswer: 103, 12100567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*g*k**2 - 10*g*k + 2132*g - 1030844*k**2 - 257*k wrt k?\nAnswer: 212*g - 2061688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 85.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 550 (base 9) to base 8\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 9*a**2 - 14*a - 5. Let h be b(-11). Let j = h - -141. Calculate the remainder when j is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 - -33. Let g be (-2)\/m + (-2)\/(-12)*196. Suppose -6*r = -2*r - g. Solve 0 = -0*j - 2*j - r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -7. Suppose 2*w = 2*f + 3*f + 372, 4*w + 3*f = 692. Let y = -180 + w. Sort 1, y, k.\nAnswer: k, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1028 - -3?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5953 - 3950. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1036, -1743, -2450, -3157, -3864?\nAnswer: -4571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (88 + -174)) + -40.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0927 - 10.9073. Which is the biggest value? (a) 2\/29 (b) 2\/9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778776459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 6:15 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-112)\/54 - 101675\/(-11205)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959*u - 24841 - 18297 = 28803 - 12483 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 410 + 2930 = 0. Let m = l + 937. List the prime factors of m.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 260 + -141. Suppose 137 + n = 4*w. Suppose -2*i = -0*i + 4, -i = -2*p + w. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 0.3 (c) -2\/3 (d) -2\/7 (e) 0.95 (f) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -675*k**4 - 158 wrt k.\nAnswer: -2700*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33 and 46?\nAnswer: -1518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 617265*g**2*j - 3411751*g**2 - 83*g + 345*j wrt j?\nAnswer: 617265*g**2 + 345","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2. Let w(j) be the first derivative of -10*j**3\/3 + 39. Give a(w(i)).\nAnswer: 400*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 96*l = 375, -3*n + 49 = 4*l + 42 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -305006996 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177390074.\nAnswer: 2, 61, 179, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3333459164?\nAnswer: 2, 7, 281, 431, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 446336.9 centuries?\nAnswer: 535604280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 2)\/(-2) - -2. Suppose 0 = -i*g + 178 + 114. What is the remainder when g is divided by 47?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1328 and -53\/40.\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3421 - 55 = -158*r. What is the remainder when 593 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 5*v**2 - 7*v - 9. Let t be h(-6). Suppose 0 = 5*q + 5*g + 20, -4*q = -2*q - 4*g - 4. Is q not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512 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: Let h = -3555 - -28581\/8. Let y = -18 + h. Which is the fourth biggest value? (a) 1 (b) -1\/7 (c) y (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 811, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**5 - k**4 - 15*k**3 + 9*k**2 + 28*k - 22. Let g(q) = -q**5 + 16*q**3 - 8*q**2 - 30*q + 23. Let n(l) = 3*f(l) + 2*g(l). Factor n(i).\nAnswer: (i - 5)*(i - 1)**2*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180, -178, -176, -174, -172?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -15*x**2 - 76*x - 3. Let b be l(-5). Solve b*g - 2 = 2*i, 9*i + g + 19 = 6*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398220654 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 + 5340443*a - 5340443*a.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 281269361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)*o)\/((o\/(o*(o\/(o\/(o**4\/o*o))*o)\/o))\/o)*(o**(-2\/3)\/o)**(-49)*(o**1)**30\/(o**(-2\/7)*o**(-5)) assuming o is positive.\nAnswer: o**(12952\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274717.\nAnswer: 29, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/10 - (-2)\/5. Suppose w*f + 16 = 4*f. Calculate the least common multiple of f and (-17 + 20)\/(6\/28).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**2 - 1220*b - 3624 = 0.\nAnswer: -302, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*h - 67 = 68, -2*z + 5*h = -21. Let d = z + -23. What is the units digit of 0*3\/12 + d + 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31 + -0.09. Which is the smallest value? (a) 0 (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 8:14 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.26085 rounded to 1 decimal place?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(6\/(-4)*1))\/(9\/(-12))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**4 - 19*p**3 + 27*p**2 - 12*p**3 + 97 + p - 24*p**2 - 95 in the form n*p + r*p**4 + w*p**2 + x + b*p**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 1, -0.3, 2 in descending order.\nAnswer: 3, 2, 1, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1140 and 12?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwp. What is prob of sequence wp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugtggtgtguu. What is prob of sequence gu?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -140520 + -30?\nAnswer: -140550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1135*b**2*y**2 - 181*b**2*y + 2*y**2 - 4*y wrt y.\nAnswer: -2270*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -452?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168120\/56 - (-1)\/(-6 - 1)?\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -4\/43023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-4*2\/50)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 0.2, 3.3, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1.04. Let x = 56.6 + -62. Let p = x - -6.4. Sort d, -3\/5, p.\nAnswer: -3\/5, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 + 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1050\/(-87) + (-326)\/(-4727).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -104 + -30 + 53\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1598\/(-204) - 2*(-1)\/(-12)) + -1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from aaxxxaa.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5 = -1. Suppose -u = t + l, -l = 3*t - 4*l - 21. Suppose t*s - 10385 = 2*y, -y + s - 15595 = 2*y. What is y rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 62 = -5*q - f, 2*q + 5*f = 14. What is the lowest common multiple of q and ((-8)\/(-1))\/(27\/30510*40)?\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -290*o + 77. Let g(n) = -1. Let a(t) = 2*g(t) + q(t). What is the derivative of a(h) wrt h?\nAnswer: -290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327\/2*o**3 + 3\/8*o**4 - 651\/4*o + 2607\/8*o**2 + 0 = 0. Calculate o.\nAnswer: 0, 1, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(33)\/(sqrt(22)\/sqrt(2)))**2 - sqrt(15)\/(sqrt(10)\/sqrt(2)*-1).\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19392 and 7175444.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, n: 3, g: 1, a: 4, h: 4, o: 1}. Give prob of picking 1 v and 1 h.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -16*c - 19. Calculate the remainder when 103 is divided by r(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b. Let g(n) = -21175*n**2. Give j(g(c)).\nAnswer: -21175*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-7)*1 - 4 and -1 - (2 + (-190)\/4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + w = h - 64 + 146 - 78, 11*h - 4*w - 53 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2488 and 114137?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, 1.3, 0.3, 2\/23, -11\/4, -37?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13995 by -512.\nAnswer: 13995\/512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*z - 5*w, 0 = 3*w. Sort -7, z, 3, 8 in decreasing order.\nAnswer: 8, 3, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 12 = 2*q + 8, -2*r = -5*q + 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 40313 - 144655. What are the prime factors of x?\nAnswer: 2, 3, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n - 5*n + 2*n + (-1 + 4 - 2)*(2 - 2 + n))*(-153 + 442 + 724) in the form v + a*n and give a.\nAnswer: 3039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -7*l**4\/12 + 3*l. Let x(q) = -3*q**2. Determine h(x(p)).\nAnswer: -63*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 10, 33, 76, 145, 246, 385?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 161*q = 1749 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 - 94?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1444 plus 95.5?\nAnswer: 1539.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -100*((-108)\/15)\/9. Let u be 180\/(-8)*z\/(-6). What is the greatest common divisor of u and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/1126 and 121\/42.\nAnswer: 23646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 20\/5 + -3 + 0 + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3716 = -4*i + 3*m, -2*i = -7*i - 3*m + 4645. Let u = 1822 - i. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 - 27*d**2 - 16*d + 14. Let y be j(-6). What is the closest to y in 0.2, -10, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55914104 divided by -7067.\nAnswer: 7912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17266*b + 72 = -17278*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.212 - -6362.288. Let c = -6389.4300016 + n. Let o = -0.07 + c. Round o to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*l - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -u + 5*g - 30, 25*u + 35 = 59*u - 39*u - 3*g for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 8*a**2 - 8*a - 5. Let y be d(9). Suppose 2*w + 5*x - 940 = 0, -y*x + 3*x = 0. Suppose 0*q + w = 5*q. Round q to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0128818 rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-12)*(-36)\/63.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.5, -2, 94\/5?\nAnswer: 94\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 + 16 + -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**4\/12 + 5*n**3\/3 - 15*n**2 + 3979*n. Give z(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0*o**2 + 2 + 3 + 2*o**2 + o**2. Let c(x) = -6*x**2 - 9. Let q(k) = -5*a(k) - 3*c(k). What is the first derivative of q(v) wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-1 + -2)) + 58 + -46 + (-1 - 40).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/190 and 43\/2390?\nAnswer: 45410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1160248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -91. What is the remainder when 11 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, 2\/5, 2\/15, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, d: 6, m: 3, y: 1}. What is prob of picking 1 n and 1 y?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 5*q = 15. Suppose -2*b - q = -2*f - 3*f, -2*f = -6. Suppose 3*h - 15 = -b. Solve 2*u - 4*j - 10 = -0*u, -15 = u + h*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 685764.\nAnswer: 2, 3, 43, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42, -86, -130, -174, -218?\n\"Answer: -44*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2057) + -2*2*sqrt(2057) - -2*(sqrt(2057) + -1) - (1*sqrt(2057) + -2 + 4)))**2.\nAnswer: 6336*sqrt(17) + 296784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 6*m**2 - 3*m - 16. Let k be b(-6). Suppose -3*l - k*l + 2*a = -3673, -4*l + 2940 = -2*a. List the prime factors of l.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (3 - (4 + -5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -9. Suppose 4*l - 22 = s, -3*l - 2*l + 35 = -c*s. Put -0.5, l, -0.4 in ascending order.\nAnswer: -0.5, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**6\/780 - z**5\/30 + 29*z**4\/156 - 5*z**3\/13 + 68*z**2. Factor i(g).\nAnswer: -2*(g - 1)**2*(g + 15)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/15 + 232810*h**3\/3 + 169372476076*h**2\/15 - 237131477440*h\/3 + 338761249024\/5 = 0 for h.\nAnswer: -291016, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - -23. Let x = h + -35. Suppose 0 = -5*y + x*z + 10, 8 = 5*z - 7. Solve y*u + 0*k + 14 = k, -u - 3*k - 6 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(3\/5))**(-7\/5)*w*w**(4\/7)*w*w*w*w**(8\/5)*w**(3\/4)*w**(-6) assuming w is positive.\nAnswer: w**(129\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**20*t)\/(t*t**(2\/31)\/t) assuming t is positive.\nAnswer: t**(649\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19373883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 5436*p - 5432.\nAnswer: -4*(p - 1358)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-3)*-3*(-10)\/(-60))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 905 + -513. Suppose 4*h = -2*v + 170, -5*v - h + 2*h + q = 0. Let x = -14 + v. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 3:31 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 50, 106, 164, 224, 286, 350, 416?\n\"Answer: q**2 + 53*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2762.000005169 - 2762. Round t to seven decimal places.\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to 0.5911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -40.\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -340.2 + 387.21. Round j to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 3, 35, 1 in decreasing order.\nAnswer: 35, 13, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(2\/5)))\/h**4)**(5\/2)*(h**1)**(10\/3)*(h*h*h**(2\/5))**(-38) assuming h is positive.\nAnswer: h**(-1453\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3870996077 to the power of 1\/2, to the nearest integer?\nAnswer: 62217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = h + 3, -2*s - s + 2*h - 19 = 0. Let b(o) = 95*o**2 + 4*o - 3. Let x(a) = -142*a**2 - 6*a + 4. Let u(p) = s*x(p) - 7*b(p). Does 11 divide u(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 45.9. Sort 2\/7, 4\/5, p.\nAnswer: p, 2\/7, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2838 - -7?\nAnswer: 2846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 306728.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118265?\nAnswer: 5, 7, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/95 + -87\/190. Which is the second smallest value? (a) m (b) 0 (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638 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: What is the tens digit of 493158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**4 + 3*u**2 + 8*u + 3*u**4 - 17*u as v*u**2 + q*u + f*u**4 + z*u**3 + m and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*t = 8, 0 = -7*t + 221 - 207 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i**3 - 5*i**2 + 2*i + 2. Let a(r) = -11*r**3 - 10*r**2 + 4*r + 4. Let x(k) = 6*a(k) - 13*c(k). What are the prime factors of x(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1253047 to the nearest integer?\nAnswer: 1119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3057, 12348, 27905, 49788, 78057?\nAnswer: 112772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 - 68 - ((-1 - 1) + (-3 - -2))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 - -80. Let v be (198\/77)\/6 + w\/7. Suppose 0 = 17*x - 16*x - 152. What is the greatest common factor of x and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(6076\/21)*28\/(-12))\/((-46)\/4)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 16, 51*d - 52*d - 15 = -4*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hihivvvh. Give prob of picking 2 i and 1 h.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwvddyowdwycdc. Give prob of picking 1 o, 2 y, and 1 c.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdzqu. What is prob of picking 1 p, 1 q, and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 - 283*a - 6185. What is h(-27)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 701365 to the power of 1\/2, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3797*a**6*b**3*t - 7*a**2*b**3 - 29*a*b*t + 2*a*t - b**3 wrt a.\nAnswer: -455640*a**3*b**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2600237?\nAnswer: 359, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 2\/15 (c) -0.93 (d) -0.1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 614200?\nAnswer: 11\/614200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 127337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 22 - 46 + 17 + 36*i - 20*i - 15*i.\nAnswer: i + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -1 - 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.2, 2\/7, 1\/2, 79.\nAnswer: -0.2, 2\/7, 0.3, 1\/2, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 643841 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*b + 577 = -909 - 236 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1096 = 5*t + 3*j, -40*j + 37*j = 9. Calculate the remainder when t is divided by 69.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 92*n**2 + 24*n - 6. Let v(b) = -9751*b**2 - 2548*b + 637. Calculate -637*c(w) - 6*v(w).\nAnswer: -98*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 2. Determine l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4579, -4634, -4783, -5074, -5555, -6274, -7279, -8618?\nAnswer: -10339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1939832231?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1273, 1283, 1293, 1303, 1313, 1323?\n\"Answer: 10*s + 1263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(2568\/(-320) - -8).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*w = -401*w + 721 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1. Let z(p) = -p - 20. Let l be z(-15). Let m(g) = -g**2 - 4*g - 9. Let n(o) = l*q(o) - m(o). What is n(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.02527024\nAnswer: 0.01263512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3548 = 2*x - 5*x, -m + 1785 = -4*x. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901 is divided by 159.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1124, 4, 4\/7 in ascending order.\nAnswer: -5, 4\/7, 4, 1124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 167, 361, 671, 1127, 1759, 2597, 3671?\nAnswer: 5011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5459123?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*i + 66, -82 = 4*i - 4*o - 26. Let j be ((-60)\/(-11 + 5))\/(4\/(-2)). Let g = j - i. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 5*h**3 + 2150*h**2 + 6415*h + 4270 = 0?\nAnswer: -427, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**3 + 10*u**2 - 495*u = 0?\nAnswer: -11, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04938434191 to 6 decimal places.\nAnswer: 0.049384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 823894172 to the nearest integer?\nAnswer: 28704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3376 = 1302*a - 1091*a for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41178126*x - 508 = -41178253*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 9 = d, d + y + 8 = 1. Let s = -10467 - -10468. Sort 5, d, s in increasing order.\nAnswer: d, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005941 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(648)*-1)**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7d - 7?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.4 (c) -0.2 (d) 0.4 (e) -74.2 (f) -39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -98*v**2 - 4*v + 110*v**2 - v**3 + 20 + 14*v. What are the prime factors of c(12)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -1210111?\nAnswer: -1210102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012813465 rounded to six decimal places?\nAnswer: 0.001281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070955131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 42 = -6*q. Let l be 7\/q + (-9)\/(-4). Which is greater: 2 or l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzj when three letters picked without replacement from {x: 1, j: 4, i: 1, z: 4, r: 1}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**4\/4 + n + 629. Let a(j) = -3. Give -2*a(y) - 6*l(y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*w + 24060 - 23412 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 464495 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 7424?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 35*g - 9. Suppose 4*p + 4*i = -i - 39, 2*p = -5*i - 27. Let r(c) = 19*c - 5. Let u(x) = p*q(x) + 11*r(x). Determine u(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 8*q = -3744. Suppose -2*w + q = 4*w. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171536187?\nAnswer: 3, 59, 969131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11324755*t**2 - 766*t - 1489.\nAnswer: -22649510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-21846)\/90)\/((-16)\/(-6)). Let i = -51493\/5 + 10377. Let o = q + i. Calculate the common denominator of o and 49\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -3. Suppose -34 = -5*r + g*d - d, 4*r - 33 = -5*d. Is 10\/(-35) + 261\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 517452 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -8\/3*m + 2\/3*m**2 - 6 + 4\/9*m**3. Determine d, given that w(d) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 3, o: 3, r: 3, i: 3, w: 2}. Give prob of sequence ioo.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39301*i**4 + 21273*i**4 + 22510*i**4)*(-1 + 2*i + 1 + (-2 - 2*i + 2)*(1 + 2 - 1)).\nAnswer: -8964*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-9))\/((110\/(-15))\/(-11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**6 + 522969*z**4 - 1110839*z**2 + z - 2.\nAnswer: 240*z**3 + 12551256*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1408 - 1404. Solve 0 = 26*y + u + 48 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/15 (b) -2 (c) -6.3 (d) 151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-80))\/((-45)\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 1. Let f(n) = -18 - 14 - 13 - 39*n + 30*n - 9*n. What is 45*c(b) + f(b)?\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35537*u**4 - 35545*u**4 + u**2 - 14*u**3 + 12*u - 22*u + 2 + 8*u to y*u**2 + b*u + s*u**3 + k + j*u**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26.12 - -5.76. What is d rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-244)\/(-10) - 2) + -3 + 163160\/(-8158)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 37. Let x(p) = p + 1. Let s be x(k). Is 1194\/s*18\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 22 = g. Let l(f) = -26*f**2 - 11*f + 9. Let a(o) = 3 + 5*o**2 + 2*o - 2 - 3. Let s(h) = g*a(h) - 4*l(h). Differentiate s(u) wrt u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(11) - sqrt(99)) - ((sqrt(60)*-1)\/sqrt(12))**2.\nAnswer: -5 - sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.497 + -0.103. Let h = u + 13.52. What is h rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s = -11*s + 28380. What is the smallest common multiple of s and 2?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/22750 and 27\/25081.\nAnswer: 81513250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13e + 2?\nAnswer: -13c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*s + 20, z = 2*z - 3. Calculate the greatest common divisor of 80 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 1, -0.2, -0.1154?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-54)\/(-30)*(1 + (-2)\/3). What is the third biggest value in 2\/21, 4, -3, q?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3769081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 787799 and 2253.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 - (-82 - -13) - (21 - -1)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 498*g + 23920.\nAnswer: 2*(g + 65)*(g + 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 - 122. What is the third biggest value in m, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33124 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.0764785 rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -21, -0.2, 0.02, 1 in decreasing order.\nAnswer: 4, 1, 0.02, -0.2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -0.01, -0.2, 2\/7, -281?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 0.1, -1, 6.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 74 - 34. Let m be (g\/3 - 2) + 4. What is the highest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(68) + (sqrt(68) - -5*sqrt(68)) + 1 + -3 + -1)**2.\nAnswer: -224*sqrt(17) + 3396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 z when four letters picked without replacement from xbbhzzbhhzhxhhz.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7*d = 0. Suppose -2*o - 2*o + 20 = d. Solve o*g = 2*r + 4, 2*g - r + 8 = -5*r for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a millennium?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2156) + sqrt(2156) - sqrt(2156) - sqrt(2156))\/(sqrt(144)*-1) + (1 + (sqrt(1584) - 2*sqrt(1584)))*6*6)**2.\nAnswer: -31188*sqrt(11) + 74349467\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 714532 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 23627804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -5, 9 in ascending order.\nAnswer: -5, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (232 + -241 + 3 + -2 + -4 - 47).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7812, 15, -0.5, -4\/9, 0.3, -5 in descending order.\nAnswer: 15, 0.3, -4\/9, -0.5, -5, -7812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127425*x - 160 = 127449*x + 4*j, 4*j + 22 = -x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -271 + 273. Suppose 5*l + 20 = 0, 2*j - u*l + 346 = 5*j. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = n + 14. Let m be (-6 - (-13 - -7))\/n. Solve m = h - 4, o + 6 = -o - h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**4*x**3 + 60082*k**4*x - 2*k**3 - k**2*x - 307*k*x**3 - 961*k*x**2 - x**3 - 2 wrt k.\nAnswer: -72*k*x**3 + 1441968*k*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = -5*v. Suppose 2*p = 4*c - 10, -p - 2*c = -v*c + 3. What is the units digit of (-9)\/p - (0 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-69)\/(-25760))\/((-1008)\/(-60)). Is n <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-6)*18\/45. Let l = -180 - -184. Which is the second biggest value? (a) 0.3 (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:49 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27790106 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 - 2010?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -829, -846, -867, -886, -897, -894, -871?\n\"Answer: j**3 - 8*j**2 - 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 950989 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 2 + (-13)\/4. Let l be -1 + 3 + (9 - 8). What is the second smallest value in -1, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138851 (base 10) to base 8.\nAnswer: 417143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45265\/2 - 22631. Let o be 1 + (1 - 0) + 0. Which is the second biggest value? (a) p (b) o (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 2*t + 22*t**2.\nAnswer: 22*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 18, -2, 0, -1, 1 in decreasing order.\nAnswer: 18, 6, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 + s + 101. Let p be c(-7). What is the highest common divisor of p and 986?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 565\/4 + -141. Which is the nearest to 0? (a) 5 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l**5 + 13931*l**4 + 6487*l**3 - 6476*l**2 + 996*l = 0. What is l?\nAnswer: -1, 0, 1\/4, 2\/7, 498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/12)\/((-2)\/108).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = -10 - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, l: 10, h: 2}. Give prob of sequence hnh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2)*7\/((-3990)\/20))\/(-2).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-7 - 0) - (12 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 812924266?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-4256)\/(-684))\/((-46)\/(-207))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2963 - 8884\/3. Let n(c) be the third derivative of 0*c - 7\/40*c**6 + 0 + q*c**3 - 14*c**2 + 0*c**4 + 0*c**5. Differentiate n(v) with respect to v.\nAnswer: -63*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 7. Let s = p + 16. Let i(j) = 7*j - 5*j - s*j. Calculate i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l - 1. Let p be a(1). Solve p*v = 4*f - 0*f, 0 = 3*f - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + i - 3 + (5*i - 236 + 484 - 238)*(12 - 8 + 68).\nAnswer: 361*i + 720","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50085*y**2 - 16708*y**2 - 16732*y**2 - 16720*y**2.\nAnswer: -75*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1060, 1064, 1068, 1072, 1076, 1080?\n\"Answer: 4*f + 1056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 3*l + 2. Let y be f(2). Suppose y*z + 5*z = -120. Find the common denominator of (-156)\/10*(-18)\/z and 73\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 14*p**2 + 954. Let r(c) = 3*c. Calculate r(g(h)).\nAnswer: 84*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 5*z = 16. Let n be -11*(-1 - -5)\/z. Let l = -2 + 12. Is l < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-four fifths of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -11. Let s be (1 + p\/1)\/(-1). Suppose -s*v = -8, 4*r - 3*r - 4*v = 1. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -90, 2\/35, 2\/15, -2\/1271, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 71409 and 190424.\nAnswer: 571272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j - 12*j + 17*j. Suppose -i + 5*k = 8, 4*i - i - 5*k - 16 = 0. Let v(x) = -12 + i + 2*x**2. Calculate t(v(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6235.84118 - -3580?\nAnswer: -2655.84118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**7\/2520 + k**6\/1080 + k**4\/12 - k**2. Let p(w) be the second derivative of s(w). Determine v so that p(v) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 23 = -2*f. Let j(h) = -4 + f*h - 2 + 1 + 3. Is j(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/8041 and 16\/2123.\nAnswer: 1551913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wiwwiwwwwwwwwwiiwwi. Give prob of picking 3 w.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1694111 and 275356.\nAnswer: 277834204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 890722 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + ((-57525)\/(-4))\/(-13). Let p = -25528\/23 - i. What is the common denominator of 143\/12 and p?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5647, 0.05, 0, -1\/23.\nAnswer: -5647, -1\/23, 0, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21311906?\nAnswer: 2, 7, 11, 138389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -1, 31*s + 42 = 2*i + 35*s. What is the highest common divisor of i and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 21522888?\nAnswer: -21522887.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 4, -2\/15, -1\/763, 3?\nAnswer: -1\/763","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 424 + -107. Let b = 6671 - 6151. Let u = b - q. What are the prime factors of u?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/13, 2, 0.059, -307606?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113014 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*c**4 + 3*c**4 + 3*c**4 + 2*c)*(3*c - c - c).\nAnswer: -16*c**5 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*f = 95*f - 108 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 11*h**2 - 4*h - 13. Calculate j(11).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 4*k. Let j(m) = 4*m**2 + 20*m. Let x be 18*((-94)\/(-60) - (-35)\/(-25)). Calculate x*j(r) - 14*o(r).\nAnswer: -2*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 3*f - 10. Let g(h) = h**2 - 1. Is g(f) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 149, 229, 311, 395, 481?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 9916*z**2 + 19826*z - 9912.\nAnswer: 2*(z - 4956)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -8 - -4) + 3 - (-6 + 36).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from ddnddnddbodndbdd?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccdccdydceecyycccec. What is prob of picking 1 y and 2 d?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 4*u**2 + 0*u**2 + (-6*u - 4*u + 4*u)*(-5 + 4*u + 5) + (3*u - 3*u - 3*u**2)*(8 - 1 - 2) + 65 - 7*u**2 - 65.\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0*r**4 + 0*r - 1\/30*r**5 + 4*r**2 + 1\/6*r**3 - 1\/30*r**6 + 0. Determine m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1579, -3, 5888, 4, 5.\nAnswer: -3, 4, 5, 1579, 5888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -343*r - 26 - 88*r + 198 + 33*r wrt r.\nAnswer: -398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(500) - -2*sqrt(500) - sqrt(500)) + sqrt(500))*2 + 0 + sqrt(500) + 4 - -4*(sqrt(500) + (3 + sqrt(500)*-2)**2)).\nAnswer: -370*sqrt(5) + 8039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-1)\/2)\/(423\/(-846))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 + 3*u**5 + (-3*u**2 - 4*u**2 + 2*u**2)*(4*u**3 - 5*u**3 + 0*u**3) + 19*u**5 + 286*u**3 - 286*u**3.\nAnswer: 27*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 1085164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21465 and 3732885?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**3 - 2*z**3 - 5*z + 5*z + 10*z.\nAnswer: -z**3 + 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.069? (a) -0.039 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1663, 3312, 4947, 6568?\nAnswer: 8175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 4. Let x be o(0). Suppose 0*k - x*k = -76. Let r = -2 + k. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 5 + 0 - 405*z + 407*z + 2*z**3 in the form x*z**2 + y + i*z**3 + w*z and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -966, -996, -1016, -1026?\nAnswer: -1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 1720.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - 2*b)*(-3 - b**3 + 5 + 1 + 2*b**2).\nAnswer: -b**4 + 2*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3*o)*(-3*o**3 - 5*o**3 - o**3)*(-3 + 3 - 2*o).\nAnswer: 54*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4)*z*z**(-11\/5)*z*(z**(-5)*z)**(34\/5) assuming z is positive.\nAnswer: z**(-157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -59\/292 at least 890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12802265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a factor of 170099181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*l + 70, -d = -0*d + 2*l - 31. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 5*c - 4. Let p be w(-6). Let r be 6*p\/(8\/2). Solve -5*n + r = 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 57 + 23 = 0. Let p(i) = -c - i + i**2 + 24 - 4*i. Determine p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*h + 11*h. Is 38 a factor of -3 + (-83)\/2*-12 + h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**2 + 328 + 0*c**2 - 583 + 315 - 40*c = 0. What is c?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-3.97.\nAnswer: -35.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - ((sqrt(288) - -2*sqrt(288))*-1)**2) + 2.\nAnswer: -2590 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27873 - 15551. List the prime factors of c.\nAnswer: 2, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4155 + 4161. Let u(k) = -k**3 + 3*k**2 + 17*k + 7. Give u(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2. Let l(d) = 170303015*d. Determine f(l(g)).\nAnswer: -58006233836180450*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 13*f - 21. Let a be y(-10). Suppose a = -0*g - 3*g, 2*n + 4*g + 1700012 = 0. What is n rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25546057 rounded to the nearest one hundred thousand?\nAnswer: 25500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from 0.11380591.\nAnswer: 7.11380591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -382 - -268. Let k = t - -118. Factor 0 + 8\/3*s**k + 10*s**3 - 8\/3*s + 8*s**2.\nAnswer: 2*s*(s + 2)**2*(4*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r + 37 - 1875 = -326. Calculate the highest common factor of r and 744.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 + 21*c**2 - 22*c - 79. Determine x(-11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6814 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11778024*z**2 - 7946913*z wrt z?\nAnswer: 23556048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 0.4, 20, 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 24. Let u be p(-19). Let m be ((-16)\/u)\/(6\/(-21)). Solve 0 = -4*y - 0*y - 12, 5*y + 11 = -m*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19979103 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 411*d**2 - 36*d + 4 wrt d?\nAnswer: 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -34. Let x(o) = -o + 1. Let r(q) = -10*q - 12. Let w(v) = n*x(v) + r(v). Differentiate w(c) with respect to c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 83 from 476753206.\nAnswer: 476753123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/17, 0.5, 46 in descending order.\nAnswer: 46, 0.5, 0.3, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 23195*c**2 - 23189*c**2 - 64056*c + 64056*c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*38217\/9*(-6)\/(-4). Suppose -49*w + 38121 = n. What are the prime factors of w?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1930511*u. Let s(f) = -f**2. What is b(s(c))?\nAnswer: -1930511*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -0*t + t + 2, 5*d = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -2. Suppose l = 8*p - 4*p - 228. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = 6 - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4448621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 69553326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133.3 - 133.4. Which is the nearest to w? (a) 12 (b) 0.2 (c) -1\/8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let g = 45 - 44.94. Is h greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 208 = 3*u, -3*p = 3*u - 6*u - 126. Suppose 4*a - 5*a = q - 56, -4*q = -a + p. Let m = -20 + a. What is the highest common divisor of 22 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1\/3 (c) -18 (d) -1\/5 (e) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 67 + 22 = 2*u, 0 = g + u - 51. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.13 - 16.93. What is the nearest to -8 in 1, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 + 2412008 - 2412008 + 35*c**3.\nAnswer: 31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 2977403900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 9*w + 4. Let m be f(-9). Suppose 5*a - 15 = -m*n, -a - a = 2. Let t = 7 + n. What is the highest common factor of 36 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 868*p = 863*p - 20, 4*u - 4*p - 56 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2154 and -5?\nAnswer: -10770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/400 and -39\/25?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 8:27 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/10 - 34\/85. What is the remainder when (-5)\/10*(-56 - b) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.06211 rounded to 0 decimal places?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2067605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 27 = 3*l - 6, -2*l - 17 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -182, -184, -186?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**5 - v**4 + v**2 + 3*v. Let x(u) = 6*u**5 - 6*u**4 + 62*u**3 + 6*u**2 - 84*u. Let m(g) = 8*k(g) + x(g). Solve m(d) = 0 for d.\nAnswer: -10, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 176 = 28. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2 = x - g, 5*x - 2*g - 91 = 0. Solve 0 = -4*y - 1 + x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (11*(-4)\/6)\/(6\/(-99))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1543 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1067*x**3 - x - x + x + 1072*x**3 - 4*x.\nAnswer: 5*x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22596 and 6?\nAnswer: 22596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6*x - 32. Let b be m(-8). Suppose 0*t = 4*z + 5*t + 13, 17 = 4*z - t. Let k(d) = -z*d - 3*d + 5*d - b*d. Let p(r) = -2*r. Calculate p(k(q)).\nAnswer: 34*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 8646.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**2 - q - 7. Give d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 + 1 - 3. Let b(v) = 6*v + y*v + 2*v - v. Let k(u) = -3*u**2. Give b(k(d)).\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -677736.524 to the nearest one hundred.\nAnswer: -677700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.771266 to one dp.\nAnswer: 49.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6034028 milliseconds in minutes?\nAnswer: 0.00002672338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 735 and 6258?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v - 24. Let o(m) = 6*m - 71. Let a(t) = -3*o(t) + 8*w(t). Let c be a(9). Suppose -c*k = -k - 60. Calculate the greatest common divisor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1027, 2047, 3067?\nAnswer: 4087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 2*q + 8. What is the least common multiple of o(0) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u*u**0*u*u)**(3\/7)*(u**(-4)*u)\/((u*u*u**(-7)*u)\/u)*((u*u**(-2\/9)\/u)\/u**(1\/4))**(7\/5) assuming u is positive.\nAnswer: u**(4927\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -3, -147.\nAnswer: -147, -3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 9*i + 12. Let f = -695 - -703. Determine d(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11835984 and 673762?\nAnswer: 6946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + r - 3 = -0*k, 2*r = -4*k + 6. Let l(c) = -c + 7. Let n be l(-6). Let f = 18 - n. Solve -b + f*b = k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40*1)\/4)\/((-364)\/(-12)*84\/98)\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1216) + -3*sqrt(1216)*4 + sqrt(1216) + sqrt(1216) + -3*(sqrt(1216) + 0) + -4 + ((-1 + sqrt(1216))*-6 - (0 + 2*sqrt(1216))) + -2)**2.\nAnswer: 486397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 157 - -6. Let u(s) = f - 163 + 4*s. Give u(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + r. Let j be a(-2). Let m(p) = 2*p - 1. Does 3 divide m(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(2*j - 5*j + 2*j) - 3 + 3 - 3*j + (4 + 2 - 1)*(0*j + 6*j + 5*j).\nAnswer: 53*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 2*b - 659. Let s = -1839 + 1843. Suppose b = o + s*o. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2042522 (base 6) to base 3.\nAnswer: 12000222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, 40, 104, 222, 412?\n\"Answer: 3*a**3 + 7*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**6\/360 - n**3\/6 + 2*n**2. Let u(v) be the first derivative of p(v). Let b(o) = o. Calculate b(u(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14963228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11237*a*k**3*o**3 - 407*a*k**3*o**2 - 1551*a*k**2*o**2*v + 2*a*k*o**2 + 15*a*o*v - 874*k**2*o**3*v wrt o?\nAnswer: 67422*a*k**3 - 5244*k**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w - 3032 = 86*w + 126*w + 10072 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.03, -0.1, 2\/9, 2 in decreasing order.\nAnswer: 2, 2\/9, 0.03, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -0.4, 4, -5 in ascending order.\nAnswer: -14, -5, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqii when four letters picked without replacement from {i: 4, q: 9, j: 3}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 9*r**2 + r - 8. Suppose 0 = 3*k + 3, -4*k + 2 = -w + 15. Let n be g(w). Sort 3, n, 5 in decreasing order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2655*u - 10717*u + 2662*u + 2744*u + 2682*u.\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70.3 + 8.3. Let n = -37 - w. Let d = 25.00011 - n. What is d rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -77*o - 335. Calculate the smallest common multiple of 260 and p(-5).\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106120, 106116, 106112, 106108, 106104, 106100?\nAnswer: 106096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40293948 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: Let l(u) = 23*u - 18. Let o be l(-4). Let s be (-60)\/o*(-1)\/3. What is the third biggest value in -0.4, s, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1167 - 0.0917. Is 0.09 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -7. Suppose w - 5*a + 21 = 0, y*w + 9 = -0*a + 5*a. Let s be w\/(2\/(-2) + 3). Which is smaller: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(-1 + sqrt(80))**2 + (5*(sqrt(80) + -3*sqrt(80)))**2*-4)*-5*-5.\nAnswer: -816200 + 1600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3544, -3486, -3426, -3364, -3300, -3234?\n\"Answer: q**2 + 55*q - 3600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2255449?\nAnswer: 7, 23, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 and -9\/699200.\nAnswer: 699200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 6\/7 (b) 1\/31 (c) 5 (d) 1 (e) -0.0148\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -642 - -640. Sort -17, -1, 3, s, 0.\nAnswer: -17, s, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j**2 - 3*j - 1. Let v(d) = -13*d**2 - 4*d - 2. Give -7*p(k) + 5*v(k).\nAnswer: -2*k**2 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 40*t + 19. Let l be p(10). Let g(u) = 299*u**3 - 2*u**2 + u. Let o be g(1). Let r = l - o. What is the highest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -2, -39, -3, 1 in decreasing order.\nAnswer: 2, 1, -2, -3, -6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4585523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 45\/(-2))*((-407)\/(-33) + -13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3\/13 + 6296*u**2\/13 + 159538*u\/13 - 2817624\/13 = 0.\nAnswer: -37, 12, 3173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5522 (base 13) to base 11\nAnswer: 8a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3700 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*s + 20 = -4*s, 5*x = 4*s + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (92*x - 81 + 81)*(0 - 1 + 3 - 4 - 1 + 6 + (3 + 1 - 2)*(4 + 1 - 4) + 4 + 2 - 7 + 1 + 3 - 5) - 3 + 3 - 2*x as b + j*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*o - o + 24, -m + 19 = 3*o. Suppose d + 0*d + 5*b = 10, -3*d = b + 40. Let w = o - d. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -6801?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*q = -76, u - 4*u + q + 114 = 0. Let n = u + -24. Suppose 3*s = 4*l - 4, -2*s + 16 = -3*s + 5*l. What is the remainder when n is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.4 + 2.303. Let c = 4.097 + k. Sort c, 10, -2.\nAnswer: -2, c, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00314321563 to four dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 4)*(-6 + m + 6) + (0 + 2 - 5)*(-1 + 4 - 4)*(-4*m + 4*m + 3*m))*(2*m**2 - 4*m**2 + 4*m**2).\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1372 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5 + 2046*a**4 + 414720*a**3 - 55467008*a**2 + 1500119040*a - 1445068800 = 0. Calculate a.\nAnswer: -560, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284274695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (sqrt(108) - (sqrt(108)*-3 + sqrt(108) + 5)**2))*-2.\nAnswer: -914 + 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 - 115. Which is smaller: w or 8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-60*q - 92 + 92)*(0 - 3 - 1)*(4 - 4 - q**2) to d*q**2 + h + a*q**3 + u*q and give a.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40112201*g**3 - 2*g**2 + 3*g - 61070515?\nAnswer: -240673206*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (sqrt(700) + -1 + 1 - (sqrt(700) - (-2 + -2*sqrt(700)))))**2.\nAnswer: 80*sqrt(7) + 2804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -3*a - a - 8, -5*a = 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) 2\/5 (c) -78 (d) -1 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 105, 113, 121?\n\"Answer: 8*o + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 6\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - n - 16. Let w = n - 11. Let j = -9 + 17\/2. Which is the nearest to 2\/7? (a) 3 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-150)\/(-35))\/(9\/42). Solve 21*g - z = 16*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17263, 17265, 17267, 17269, 17271?\n\"Answer: 2*r + 17261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-87)\/(-24) - 6\/(-16). Suppose t*c + 189 = n, 66 = n + 2*c - 135. List the prime factors of n.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*z**4 + 2*z - 25*z**3 + 58*z**4 + 50*z**4 - 8*z**3 + 5 + 10*z**3 as q*z**2 + o*z + i*z**4 + b*z**3 + l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2649*y + 2649*y - 112*y**2)*(-3 - 1 + 6)*((-3 + 4 - 2)*(2*y - y + y) + 0*y + y + 0*y).\nAnswer: 224*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9536978*l + 8225062.\nAnswer: 9536978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 7*b = -3*k - b + 12, -5*k = 7*b - 9 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8788181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, v: 5}. Give prob of picking 3 b and 1 v.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.166281906 rounded to five decimal places?\nAnswer: -0.16628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3633.201t to kilograms.\nAnswer: 3633201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(513)*4)\/((sqrt(3) + (1*sqrt(3) + sqrt(3) - sqrt(3)))*-1).\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 4*x + 2. Let d be n(-4). Calculate the remainder when d\/3 + (-616)\/(-12) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*r - 15137*r**3 + 50*r - 3 + 15135*r**3 + 3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3812336563?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16317 divided by 37?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 + 14 = 5*i, 3*i = 5*w + 13. Suppose 1 = j - i. Suppose 3*f = 4*l + 16, 3*l = f - 0*f - 2. What is the smallest common multiple of j and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-2)\/sqrt(6) - (-1 + sqrt(1700)).\nAnswer: -12*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -5, 106, -176?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 - 52. Suppose -2*s - 2*s + 52 = -3*t, 3*s - 3*t - x = 0. What is the greatest common divisor of 78 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**5\/48 - 35*o**4\/16 - 205*o**3\/24 - 34*o**2 + o. Factor i(j).\nAnswer: -5*(j + 1)*(j + 41)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4753552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(20\/12)*14. Suppose 0 = -6*c + 102 + o. Calculate the remainder when 117 is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, 5, 0.69?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101924 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*q, 15 = 3*h - 10*q + 5*q. Suppose -5*v + 4*f - 8 + 0 = h, 0 = -v - 2*f + 4. Let i = 284420 + -284419. Solve d + i = -v*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(504\/2))\/((-6)\/77)\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2 = r + 2*n, 4*n = -5*r + 13. Solve -5 = -p + 3*z + r, 4*z = 3*p - 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**3 - 6*v**3 - 32*v**3 + 15*v**3.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/4)\/(-2) - -4. Suppose -763 = -5*h + 2*f, -f - 2 = 2. Suppose k = h*w - 155*w + 12. Which is the second smallest value? (a) 0.01 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18355427 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - 2*s + 1. Let z(r) = 7*r**2 + 5*r - 3. Let o(j) = -5*l(j) - 2*z(j). Let i(q) = 2*q. What is o(i(c))?\nAnswer: 4*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p*p**(1\/2)*p*p*p)\/p)\/p)*p**3)\/(p**(-1\/11)*p**(-1\/4)))**14 assuming p is positive.\nAnswer: p**(567\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.4975nm in centimeters?\nAnswer: 0.00001624975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2080 is divided by 130.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n - 2. Let s(o) = -7560*o - 10910. Let j(p) = s(p) + 3*w(p). What is the derivative of j(q) wrt q?\nAnswer: -7542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 k when three letters picked without replacement from zykiqsqys?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.28 + 0.12. Let x = -0.24 + l. Which is the nearest to -2? (a) x (b) 0.6 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9386981449075 and 5.\nAnswer: -9386981449070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**7\/420 - m**6\/90 - m**5\/60 + 2*m**3\/3 + 2. Let k(b) be the third derivative of j(b). Factor k(x).\nAnswer: -2*x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/5 and (-270)\/4*9\/30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 8. Let n(a) = -11*a + 1. Let h(x) = 123*x - 11. Let l(c) = -6*h(c) - 66*n(c). What is y(l(j))?\nAnswer: -144*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (132*d - 19*d**2 - 132*d)*(-1 - d + 2*d + 2) to the form f + x*d**3 + i*d + u*d**2 and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23183 * 0.02.\nAnswer: -463.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011426472 rounded to seven decimal places?\nAnswer: -0.0001143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 129*t**2 + 90*t + 11. Calculate a(4).\nAnswer: 2435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a millisecond in microseconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781046720 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h - 40. Let p be (-1185)\/(-18) - (-3)\/18. Let b = p - 62. Solve 0*c = -b*c - h, 5*n = -c - 22 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2221, -4366, -6505, -8638?\n\"Answer: 3*x**2 - 2154*x - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*k + 319*k - 413*k + 16084 + 3126 = 0 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9}. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2736)*1 + (sqrt(2736) - sqrt(2736)*-1) + 3 + 3*(-1 + sqrt(2736))*-3)**2.\nAnswer: -576*sqrt(19) + 11088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.09, -0.3, -5, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.05 + 1. Let o = 0.25 - x. Let n = -0.2 + o. Sort 2, n, 0.4.\nAnswer: n, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 5*n + 19, 0 = a + 7*n - 6*n + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**5\/20 - 5*r**4\/3 + 14*r**2 - 7*r + 1. Is v(-20) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**3 + 24172*u**2 + 29284832*u - 22848136336 = 0?\nAnswer: -3286, 529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 139, -2\/7, 1\/8, 3, -4, 6, 4\/51?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23671 + -213034\/9. What is the nearest to -2 in -4\/7, f, -4, -0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -420008.1+21\nAnswer: -419987.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-45)\/10)\/(-9))\/(((-1034)\/(-22))\/(-5452)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 247, 1, -2\/7, 1\/4, -0.5 in descending order.\nAnswer: 247, 1, 1\/4, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 89008615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4093636 divided by -2046818?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -592958*l + l**3 - 2*l**3 + 592958*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 40*f = -3200. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.73 + 15.14. Round q to 1 dp.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(704))*-5 + (sqrt(11) - (sqrt(11) + sqrt(33)\/sqrt(27)) - sqrt(44)\/sqrt(4)*-4)**2.\nAnswer: -40*sqrt(11) + 1331\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0)*1 + -18935. Let r be (h\/90)\/(2\/(-5)). What is the derivative of 526*d - r*d + 7 + 2*d**3 wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, k: 1, g: 8, d: 7}. What is prob of sequence kfd?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.27 + -0.93. Let j = q + 5.2. Let r = 5.6 - 6. Which is the third smallest value? (a) j (b) r (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 5:45 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 196764.1 centuries in decades?\nAnswer: 1967641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -226 - -228. Solve -z*s = s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 11. Suppose 0 = -4*o + 22 + 6. Calculate the least common multiple of o and j(13).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39428821?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72772.40812598 - -73384.808067. Let d = r - 612.4. Round d to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 8*q = -15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssse when four letters picked without replacement from {s: 6, e: 9, k: 4}.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*(sqrt(25)\/sqrt(5) + sqrt(5)) - (0 + sqrt(405))) + (-2 + (sqrt(405) + -2)*-5)**2 + 0.\nAnswer: -668*sqrt(5) + 10189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*l = 32, 5*x + 44*l = 24*l + 27*l - 67 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -12, -60, -136, -246, -396, -592?\nAnswer: -840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 773228256 by -64435688.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(65)*-5)\/sqrt(5) + sqrt(13)))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(7*k - 3*k - 11*k).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/sqrt(3))\/sqrt(2) - (sqrt(52) + sqrt(13) + -4)) + -1 - (sqrt(208) + -5 + sqrt(65)\/sqrt(5)*1)**2.\nAnswer: -347 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 339.5371 hours to milliseconds.\nAnswer: 1222333560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9056 + -9056.0023568. Round f to four decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - k + 0 + 9 = 0, -2*v + 2*k + 6 = 0. Which is smaller: v or 90\/31?\nAnswer: 90\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 838261 + 2*f**2 - 838261.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55554593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 18. Let u(h) be the first derivative of -h**3\/3 - 2*h**2 + 3*h - 3. Let z be u(-4). Solve -z*x + x - 2*v = 2, -n = 3*x - 2*v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 2334.\nAnswer: -4668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a factor of 481317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695 is divided by 680?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 8*j + 37 + 5\/2*j**4 - 5*j**2 - 2\/5*j**5 - 2*j**3. Factor i(y).\nAnswer: -2*(y - 4)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 9*j**3 + 24*j**2 + 20*j.\nAnswer: j*(j + 2)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 17*c**4 - 38*c**4 - 8882*c**2 + 8890*c**2)*(-14 - 11 + 33) to l*c**2 + f*c**4 + k*c + q*c**3 + x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -51*m + 708. Give t(16).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + g. Let s(a) = -6*a**2 + 3*a. Let q(b) = s(b) - 2*w(b). Let r be q(-1). Let u = -10 - r. Do 2 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 4. Let y(n) = -n - 5. Calculate 6*o(c) + 7*y(c).\nAnswer: -c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -2)*334\/(-7348). Let t be (1 - 1)*(-2)\/4. Is t at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggwqqwqwqgqgg. Give prob of sequence wgww.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -2\/11 (c) -0.4 (d) -6 (e) -0.1 (f) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfffffmfmmfmff. Give prob of picking 3 m.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00225 to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 513 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4 + 6. Suppose 2*c - 8 = 5*m + 4, -2*c + 6 = -f*m. Calculate the remainder when c is divided by ((-2)\/(-4))\/((-1)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from yroryj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5*b - 10, -4*z + 2*b + 11 = b. Solve z*a - 4*d = 10, -5 = -0*a - 4*a - 3*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7838355.1 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 8*x**2 - 5*x + 13. Let c be n(-8). Suppose -6*m + 2*m + c = 5*t, -5*m + 50 = 5*t. Solve t - 21 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18394 - 22201.4. Round j to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 7\/4, -1\/2974 in descending order.\nAnswer: 7\/4, 2\/11, -1\/2974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5) + 24\/15. Is 12 a factor of 2 + 30 + z + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.866019 millennia?\nAnswer: 86.6019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4 - 820314*x**3 - 84115612786*x**2 - 252341096190*x - 168226303716 = 0.\nAnswer: -205077, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - 15*g**2 + 53*g - 289. Calculate y(6).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**2. Let j(v) = 20934*v - 41534*v + 20832*v. Calculate s(j(x)).\nAnswer: -269120*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-10)*q**10*q**(-2\/9)*q*q*q*q**2 assuming q is positive.\nAnswer: q**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 4*p**2 + 3*p + 3. Let d be l(-3). Let h(i) = i**2 + 0*i**2 - d*i**2. Let y(b) = -6*b - 51 + 51. Determine h(y(g)).\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 48\/40*5 - 12\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + 0.4. Let y = j + -3. Let p = -2.2 - y. Is 2\/7 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (1 + sqrt(320) + 2 + sqrt(320) - (sqrt(320)*1 + 1)))**2 - (5 + (sqrt(320) - (3 + -1*sqrt(320)) - (sqrt(320) + -1 + -1))**2).\nAnswer: -6 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*j - 8 + 18, 5*d = 4*j + 14. Suppose g = d + 4. Suppose b - 11 = g. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3312748.\nAnswer: 2, 47, 67, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*c = -7*c. Suppose f - 300 - 740 = c. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1788*l - 4516*l + 1977*l + (2 - 3 - 11)*(-2 - l + 2).\nAnswer: -739*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*i + u, -1890*i + 1887*i + 4*u + 27 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 4*z - 222, -z + 2*n + 68 = -3*n. Is z a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 16*n**3 + n - 10. Let l(a) = a**3. Let x(w) = -g(w) + 3*l(w). What is the second derivative of x(d) wrt d?\nAnswer: -78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 81.634\nAnswer: 32.6536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -346 - -0.8.\nAnswer: -345.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4))**(34\/7)*(((k\/(((k\/k**9)\/k)\/k)*k)\/k)\/k)\/k*k**(2\/5) assuming k is positive.\nAnswer: k**(573\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*z = -5*a + 8, 0 = 5*a - 5*z - 10. Solve 9 - 7 = a*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 1. Let c be a(-2). Suppose 2*v + 3 = -2*v + 5*u, c*u + 3 = 4*v. Solve -v*p = 2*p + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 6*q**2 - q + 4. Let n be p(6). Let d be 11\/(-2) - n\/(-4). Let s = 24 - d. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*-1*((1*(sqrt(117) - sqrt(117)*1))\/sqrt(9) - sqrt(78)\/(sqrt(30)\/sqrt(5)*-6)) + -2.\nAnswer: -2 + 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/9*j**2 - 88\/3 + 100\/9*j = 0. What is j?\nAnswer: 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(3\/(-2 - 0\/(-1))). Suppose 7 = -4*s - 5*t, 0 = l*s - 7*s - 3*t + 1. Is s bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75061 is divided by 975?\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -494, -91, 7, 1 in ascending order.\nAnswer: -494, -91, -2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, 1, 2\/5, 161, -3\/2 in decreasing order.\nAnswer: 161, 2, 1, 2\/5, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 1.96. Let u = -3 + w. Let f = 43 - 43.1. Which is the closest to -1\/3? (a) u (b) 1\/4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**2 - 425*y - 354. What is v(-70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8548\/37 - 231. Suppose -8*q + 19 = -13. Suppose -q*i - 3*p = -7, -2*i = 3*i + 2*p - 7. Is i != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 60*h**2 - 4289*h + 529. Give w(102).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*n + 18*n - 109980 = 678*n + 1281*n for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 369486 and 14196?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*x + 141738 = 379*x + 797*x + 45930 for x.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/5, -0.36 in descending order.\nAnswer: -1\/5, -0.36, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62055 - w**4 - 25*w + 2*w**3 - 2*w**3 - 62055 + 33*w**2 to the form m + p*w**3 + o*w**2 + q*w**4 + c*w and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -117*q + 1. Let l(w) = -6*w. Calculate 3*l(x) + m(x).\nAnswer: -135*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.758 and -0.2.\nAnswer: 8.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {l: 12, q: 5, o: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -337*z**3 + 17*z**2 + 21*z - 4. Let s be y(-15). Let p(l) = 660882*l**2 - 1. Let a be p(-1). Let w = a - s. Round w to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpp when three letters picked without replacement from {w: 6, u: 3, p: 2, z: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/6))**(-3\/14)\/(b**(-2\/15))**(21\/2) assuming b is positive.\nAnswer: b**(171\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 2*v**2 + 2*v - 2. Suppose 0 = -s + 3*s - 18. Suppose 0 = -2*t - 3*m - s, 2*m + 11 = -t - 2*t. Is c(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 14*s**2 - 15*s + 5. Let o be x(15). Suppose -o*i + 7 = -3. Let j be 1 + 0 - 3\/(-1). Solve 10 = i*q, 13 + 0 = j*f + 5*q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -472 + 765. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196104 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 404982 - 128.\nAnswer: 404854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/9 (b) -0.4 (c) -6.798 (d) 5 (e) 0.116 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18 - ((-5)\/(-5) + -3). Suppose -x*d + 25*d = 25. Solve 0 + d = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -0.1, 22, 18, 0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/7)*s**(-1\/12))**(4\/19)*s\/(s\/s**(1\/4))*s**(-1)\/s*s\/(s\/((s\/(s\/((s*s**5\/s*s)\/s)))\/s))*s*s*s\/s**(-1\/9)*s*s assuming s is positive.\nAnswer: s**(35593\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (-86 - -20) - -21 - 33\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 5*n + 6. Let z be f(4). Suppose 7*x - 24 = 2*x + 2*q, -2*x - q = -6. Solve -m + 6 = x*j, z*j - 9 = 4*m + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179275019 + 179275009.0999483. Let a = -9.9 - j. Round a to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 104686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 4:50 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40 - 1ea87?\nAnswer: -1ea47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**4\/12 + j**3 + 5*j**2\/2 - 2*j. Let r be l(-6). Differentiate -r + 12 - 3*x - x with respect to x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (1 - (0 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 18046, 5 in descending order.\nAnswer: 18046, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 4 - 2 + 1 + 4. Let t(k) be the second derivative of 2*k**2 - 6*k - 2\/3*k**4 + 0 - 1\/3*k**3. Determine -6*p(n) - t(n).\nAnswer: 2*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 935, 879, 721, 407, -117?\nAnswer: -905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 38*q - 4. What is w(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 20. Is i <= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33076 + 2074 = -50*d. Let y = -304 - d. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*v + g - 1256, -5*v + 1252 = -3*g. Which is greater: 251 or v?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2\/3*y**3 - 4\/3*y**2 + 2\/3*y + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3 + w**3 + 14*w**2 - 8*w**2 - 10*w**2. Calculate m(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 326 and 16789?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-87562 + 87562 - 4013*v**2)*(0 + 5 - 2)*(1 - 1 - 1) as m*v + q*v**2 + u and give q.\nAnswer: 12039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40272471357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -15) + (13 - -68 - 64).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/6 + 442\/39 + -14. Suppose -2 = 2*q - 2*z, -3 = 5*q - 3*z - 4. Let c be (g\/6)\/((-42)\/(-9) - q). Which is greater: c or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-7 - (7 + 14)). Let q(w) = 5*w + 144. Let i be q(z). Let h(n) = -6*n - 2. Let o(a) = a**2 + 30*a + 11. Let t(u) = 11*h(u) + 2*o(u). What is t(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499535*z**2 - 1076354*z**2 - 1308272*z**2.\nAnswer: -2884161*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -15*b + 149. Suppose 38*m - 41*m = -24. Suppose 3*h + 3 = 27. Calculate the remainder when j(m) is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 18 - 21) + 8 + 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -61240.1401 - -5.574?\nAnswer: -61234.5661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/7*x**3 + 1\/7*x + 0*x**2 + 0 = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*a + 233000. What is a rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-7)\/((-126)\/(-6564)). List the prime factors of 5 - ((-12)\/6)\/(4\/z).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18, -47, -94, -159, -242, -343?\n\"Answer: -9*g**2 - 2*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i*t**4 - 57*i*t**3 + 12*i*t**2 - 1970110*i*t - 338407*t**3 + 3 wrt t.\nAnswer: 72*i*t - 342*i - 2030442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 165445173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**4 + 30*g**3 + 565*g**2 + 2190*g + 2376 = 0.\nAnswer: -9, -3, -2, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-15)*3*-5)\/(-2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, -2, 23 in increasing order.\nAnswer: -4, -2, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from yfywyfilyywilwyfff.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - -2)*(-2 + 3). Let j = -7 + 10. Suppose j*i - 174 = 3*c - 5*c, 2*c - 294 = -k*i. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*w - 228 = -122 + 272. Suppose 0 = -0*f + 3*f. Let t = -2 - f. Put w, 1, t in descending order.\nAnswer: 1, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, j: 6, f: 2, d: 1}. What is prob of sequence ff?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4 - 12 = 0. Suppose -2*c - m + 10 = 0. Suppose -c*g + 2*q + 52 = 3, -4*g - 4*q = -92. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2556 + -1449. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82724.\nAnswer: 2, 20681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41493 less than 5020712\/121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -11 (c) 2 (d) 1\/4 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -743161 (base 12) to base 10\nAnswer: -1830169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1465288 is divided by 722?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33\/5 of a millennium?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51811424*j**3 + 136884*j**2 + 1?\nAnswer: 310868544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 325 - -680. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrzrzrrzzrzzz. What is prob of picking 4 z?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6 + 9*f**3 - 2 - 2*f**3. Let j = -42 + 35. Let v(n) = -15*n**3 - 9. Let w(z) = j*u(z) - 3*v(z). What is the derivative of w(g) wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(1458))\/(6*sqrt(384)*-4).\nAnswer: 9*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*j - 4 + 1)*(6 - 3 + 0)*(-85 - 64 - 113) as m + k*j and give k.\nAnswer: -1572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3474*d - 1725 + 3429 - 1701 to z + o*d and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 25*j - 659. Give m(15).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/153287 or -1?\nAnswer: 2\/153287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/10 + -32 + 29?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 31*r**2. Let q(g) be the third derivative of 0*g**3 - 1\/4*g**4 + 147*g**2 + 0*g + 0. Give t(q(v)).\nAnswer: 1116*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00950719 + -57734?\nAnswer: -57734.00950719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 290?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3565\/(-124)*40\/50.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*o**3 - 38*o**3 - 44*o**3 - 41*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 i when three letters picked without replacement from {e: 1, d: 4, i: 4, s: 3, c: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2420 (base 10) to base 5\nAnswer: 34140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 3*i**2 - 11*i. Calculate the lowest common multiple of 5 and t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134375201?\nAnswer: 19, 107, 157, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3*((-11)\/(-33))\/(4\/4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267102828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 3*g + 9, g = l - 4*l + 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - ((26 - 17 - 6) + 7 - 16)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l**3 + 35*l**2 + 5*l + 14. What is y(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -15. Suppose 5*x + 5*b = -0*b + 40, -5*b = o*x - 33. Let i(j) = j**2 - 6*j - 2. What is the units digit of i(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-6))\/(-1 - (-5)\/3). What is the remainder when (d\/(-3))\/(6\/27) + 52 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 229)*(-12)\/(-24). What is the common denominator of 53\/4 and ((-122)\/10)\/(46\/m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 7575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1078754 + 0.4\nAnswer: 1078754.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/800 and -107\/2560?\nAnswer: 12800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z + 1. Let q be s(4). Let a = q - -31. Factor 2 - 5*r + a + r**2 - 6*r**2 + 4.\nAnswer: -5*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3 - 74 - 27 + 40 + (-1 - 3 + 1)*(2 + 0 - 3))*(0*x + 0*x + 2*x)*(-3 - 2 + 4).\nAnswer: 112*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46.773 + 6.167. Round q to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 1141322411?\nAnswer: -1141322422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvbjbbbvjbbxbxvb. What is prob of sequence bb?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**3\/3 - 4680*h**2 - 70500*h = 0.\nAnswer: -15, 0, 3525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3025 - -1?\nAnswer: -3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10*n**2 + 8*n + 8. Let t be r(-1). Let i(v) = -37*v + 1 + 34*v - t - 2. Let q(c) = 2*c + 10. Give -3*i(p) - 4*q(p).\nAnswer: p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1367627818?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**5 - 1632*t**4 + 364143*t**3 + 1632*t**2 - 364140*t = 0.\nAnswer: -714, -1, 0, 1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-8728.1\nAnswer: -2618.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 9*q**2 - 4*q + 8. Let i be l(8). Let o be (0 - 17)\/(((-14)\/i)\/7). Suppose 2*b - o = -8*b. Calculate the remainder when 101 is divided by b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 5*k - 2*d + 433, -4*d + 2141 = 5*k. List the prime factors of k.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -236.6 times -6\nAnswer: 1419.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198220)\/(-67045) - (1 + 0 - -1*2).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*q - 93, -2*q - q - 472 = -5*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, -1, 119, -5, 7 in decreasing order.\nAnswer: 119, 10, 7, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -17, -38, -67, -104, -149, -202?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**4\/4 + 2*m**3 + 6*m - 21. Determine j(5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 1. Let o(n) = 4*n + 2. Let j(m) = o(m) - 2*x(m). Let p(s) = s**2 + 2. Give j(p(k)).\nAnswer: 2*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-35)\/14*12\/(-10). Suppose -6*a + v*a = 0, -3*a = 4*t + 20. Let u(j) = j**3 - j**2 - j. Let c(b) = 8*b**3 - 5*b**2 - 5*b + 2. Give t*u(g) + c(g).\nAnswer: 3*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 2. Let n be -2*(1\/8 - -9*(-574)\/1008). Let h(t) = -t + 1. Suppose 4*g = -10 - 10. Calculate g*v(m) + n*h(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -31*c**3\/2 + 8*c**2 - 7*c. Is f(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**4\/5 + 8*h**3\/5 - 8*h**2\/5 = 0. Calculate h.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 - m**2 + 0 + 7*m**2 - 4*m**5 wrt m?\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + 0*q**3 + 0*q**3 + 2*q**3 - 3*q**3 + 2*q**3 + (2*q**3 - q + q)*(2 + 2 - 2) - 4*q**3 + 3*q**3 + 2*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2246 by 48.\nAnswer: 1123\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 455*g - 27 + 7 + 20 to the form s*g + j and give s.\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*v**3 + 305 + 359 + v**2 - 666 as c*v**2 + n*v + x*v**3 + t and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**6\/108 - p**5\/10 + 5*p**4\/18 - 8*p**3\/27 - p**2 - 21. Factor z(g).\nAnswer: 2*(g - 4)*(g - 1)*(5*g - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*m - 4, 4*m + 18 = -2*z + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4*m = -7, 0 = -0*x - 4*x - 3*m - 5. Suppose g = 57 - x. Let a = g - 7. Calculate the remainder when a is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43855 and 229120.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41\/12 + -353\/36. What is the common denominator of l and 101\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(4*2\/(-6) - 11\/66)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1391620330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -x - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k = -13*k. Suppose 4*h - 1023 = -5*o + 2*h, 5*h - 20 = k. Suppose 3*u - u + w - 197 = 0, -w - o = -2*u. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 48, 45, 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523237?\nAnswer: 11, 13, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2 + 41*j + 249. What is the thousands digit of k(51)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (-10 + -7)) + 4 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*x - 37*x = 2*g - 12, -36 = g + 5*x. Suppose -2*z + 75 = -s, 4*z = 5*s + 35 + 118. Is g at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 172 - -16?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 + -24 - -17) + (-2 - -4 - 43).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + -2 + (sqrt(2736) + -1 - sqrt(2736)))**2 - sqrt(2736)) + 5.\nAnswer: -84*sqrt(19) + 2750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, q: 12}. Give prob of picking 2 j and 1 q.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8112 is divided by 238.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 97687 at least 97713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 6. Let j(y) = -5*y - 25. Let s(k) = -2*j(k) - 9*q(k). Suppose 4*t - 9*t = 0, -3*p = 2*t + 12. What is s(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(2) + sqrt(2)*1 + sqrt(2)) + sqrt(57) - sqrt(57))\/((sqrt(12)*1)\/sqrt(4)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/150630 and 11\/64.\nAnswer: 4820160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -4, -0.4, 1\/5 in descending order.\nAnswer: 24, 1\/5, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46900216 to the power of 1\/3, to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128\/6 - (-5)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -2.1. What is the third biggest value in -1\/5, b, 0.4, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2093\/(-6279))\/(1\/(-156)) + 6*2?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077458333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1775 - 1775.16. Which is the fourth biggest value? (a) 1\/6 (b) 6 (c) -0.5 (d) 4 (e) t\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 204*r**3 + 16*r**2 + 4*r - 19. Is o(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:40 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6ddad - 1e?\nAnswer: -6ddcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -245*k**2 - 18859*k + 53. Give p(-77).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -5*l**4\/6 - 2*l. Let z be -2 + 0 - -3*2. Let g(b) = 2*b - z*b + 2*b - b. Determine q(g(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -3)*4*3\/12. Suppose 4*w = 2*w. Let h be f + (1 - w\/3). Is 3\/2 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1910.\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - ((-1)\/1 - -1). Let j(v) = 6 - 3 + i - v - 2. List the prime factors of j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4614 is divided by 531.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 38*z**2 - 58*z - 203. Does 23 divide r(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396, 357, 318?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/16*0*(-1)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 7015572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 16 - 3 + 7 - 2958*s**2 to u + o*s + p*s**2 and give p.\nAnswer: -2958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3878386 or 3878389?\nAnswer: 3878386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1088))*-3 - sqrt(1088)) + -5*(0 + sqrt(1088)).\nAnswer: -72*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1362690975?\nAnswer: 3, 5, 47, 193, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48200 and 8080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + (sqrt(180)*1)**2 + 4.\nAnswer: 6*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 3. Let f = 2 - z. Let i(j) = j**3 - 4*j**2 - 5*j + 5. Let s be i(5). Which is the closest to -0.1? (a) 0 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3 + 28*a - 16 + 6. What is the tens digit of f(18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5832 and 1206.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*6*2*1*sqrt(77))\/(((1*sqrt(84) + sqrt(84) + sqrt(84) - sqrt(84))\/sqrt(2))\/(sqrt(6) + sqrt(216)\/sqrt(4))).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4810908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 68 = -5*b, 3*d + 1093*b - 1091*b + 28 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 570*p - 2905. What is v(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4817 is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/8 + 5 + 57\/(-12). Sort -11, d, 0, -0.02 in increasing order.\nAnswer: -11, d, -0.02, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.22 - 12.22. Let z = m + 12.25. What is z rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20473595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1350 - 1931. Let q = 413 - p. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-19)\/38)\/((-2)\/16) + -1. Determine d so that 1\/2*d**r + 0 + 0*d - 1\/2*d**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -82207\nAnswer: 4\/82207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 120808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*h**2 - 74*h**2 - 51526 + 150*h**2 + 51526 + 349*h**3.\nAnswer: 349*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.96 - 0.86. Which is the nearest to 3\/2? (a) -2\/7 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16483*l - 9 - 21 - 21 + 45.\nAnswer: -16483*l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 56 = 16. Let a(w) = w**3 + 8*w**2 - 11*w + 5. What is a(h)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 507\/7 + -72. Let n be 18\/14 + (-39 - -25 - (-3 - 10)). Sort n, m, -2, -6 in descending order.\nAnswer: m, n, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -18?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + 3)*2 + -4)**2 + 3.\nAnswer: 96*sqrt(5) + 2887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18677 times -0.0884\nAnswer: -1651.0468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*c = 2*h + 1429, -2*h + 4*c = -1394. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29979.\nAnswer: 3, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1))**(-40)\/(t*t**1)**0 assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(7) + 0)*-1)**2 - sqrt(112)*2)*-4 - (-6*(sqrt(252)*-1)**2 + 0)) + 5.\nAnswer: 32*sqrt(7) + 1489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59917987991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 5:59 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000182 take away -0.11?\nAnswer: 0.109818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((551\/152)\/(-29))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:48 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0\/s*s\/s**(2\/9)*(s\/s**(-1))**(2\/45)*((s*s**(-2))\/(s*(s**(-10)\/s)\/s))**13 assuming s is positive.\nAnswer: s**(1948\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**2 - 7*k - 4. Let l(n) = -n**2 + n + 1. Let z(p) = -6*l(p) - s(p). Give z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 2428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 2, 1897, 4, 3 in ascending order.\nAnswer: -3, 2, 3, 4, 5, 1897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 1, m: 2, z: 1, o: 1, j: 2}. Give prob of sequence koj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-264*l**2 - 620*l**2 - 704*l**2)*(0*l + 2*l + 0*l)*(-2*l**2 - 2*l**2 + 2*l**2).\nAnswer: 6352*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 3*a + a)*(-70*a**3 - 71*a**3 - 3*a + 136*a**3).\nAnswer: -10*a**4 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2110 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -56aa (base 11) to base 9\nAnswer: -11254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, z: 5}. What is prob of picking 3 z?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (9\/3 - -1). Let x be (r - 11)*1114\/(-5). Is x\/3 + 4\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3127 is divided by 694.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122120100 - 20?\nAnswer: -122120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6.9486569 and -14.\nAnswer: -20.9486569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 22.9533 millennia?\nAnswer: 229.533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 7131655*d**3 + 0 - 7131792*d**3.\nAnswer: -137*d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 21 = 3*v. Suppose 0*l + 4 = 2*l + 2*o, 0 = -3*l + 2*o + v. Suppose 80 = l*f - 250. Does 33 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/1525, -0.4, -2, -1\/4, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37726.\nAnswer: 2, 13, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**2 + 4*f**2 - 2*f**2 + (-6 + 1 + 2 + (0 - 4 + 2)*(1 - 2 + 3))*(f**2 + 0*f**2 - 2*f**2) to the form k + u*f**2 + s*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 6*b + 3*s - 1, 11 = 4*b + 3*s. Let y be (24\/10)\/(3\/40). What is the lowest common multiple of (3\/(-6))\/((-2)\/y) and b?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1451 - -1633. What is the hundreds digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 + 0.11. Let p = 0.9 + 0.1. Let b = 27 - 29. What is the third biggest value in k, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106369369 minus 0.1?\nAnswer: -106369369.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6908 >= -6906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 13. Let q = f + 29.2. Let z = -2 + q. Is z greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -87*(0 - (-4)\/(-6)). Suppose 0*c - 5*r - 182 = -3*c, r = c - t. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Let g(f) = -176*f**2. Determine b(g(u)).\nAnswer: -176*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -c + i, 6*i + 18 = 4*c + i. Sort c, -2\/3, -0.4, 9 in increasing order.\nAnswer: -2\/3, -0.4, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 0.542 (c) -0.2 (d) 0 (e) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -542154 (base 7) to base 12\nAnswer: -46779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 1. Suppose -2*l = -m + 26, -4*m + 0*l = -5*l - 110. Calculate the remainder when m is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 times -0.2\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1166*g - 1167*g - 4. What is the nearest to 2 in 2, g, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 708083.\nAnswer: 71, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -23*j**2. Let k(n) be the third derivative of -3*n**2 + 1\/4*n**4 + 0*n + 0*n**3 - 18. Determine k(a(g)).\nAnswer: -138*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 8*b**2 + 8*b + 8. Let t be w(-6). Let n = -548 - -546. Is (t - -51)\/(n\/(-2)) 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 112868185 to the nearest integer?\nAnswer: 10624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**5\/20 - x**2. Let s(d) be the first derivative of d**3 + 12. Determine s(m(z)).\nAnswer: 27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 14*s - 3. Calculate f(-9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 447409038*c + 638217371 wrt c?\nAnswer: 447409038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*d*h*z + 9034*d*h - 2*h*z - 3*z wrt z?\nAnswer: 6*d*h - 2*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(144)\/(-1*sqrt(12)))*5 - (-3 + (sqrt(832)*-1)**2*-5).\nAnswer: -5*sqrt(13) + 4163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0, -2\/11, 10 in decreasing order.\nAnswer: 10, 2\/7, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 4*n + 110652180. Suppose 5*t - 113484060 = -n. Suppose d = -3*d - t. Round d to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 80*q**2 - 303*q**2 - 7 + 6 to d*q + g*q**2 + s and give g.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94813 and 1947?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 60*(-2 - (-8)\/6). What is the common denominator of (-1 + 3)*(-166)\/u and ((-6)\/(-16))\/((15\/(-70))\/(1704\/(-924)))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 33*j - 22*j. Solve a = -2*b - 8, 5*b = b - j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (44322\/1780)\/((-6)\/(-5)) and -67\/2482?\nAnswer: 4964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14014 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100289 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11788*b - 1273*b - 5942*b + 12791*b to g + j*b and give j.\nAnswer: 17364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 5*b + 3*f + 14, 4*b + 10 = f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 3. Let k be w(-3). Let y = 10 - k. What is the remainder when y is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 211771162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -90867954 smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 7*u)*(6*u + u + 10*u) - 2*u**2 + 0*u + u**2 - u.\nAnswer: -120*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 11 - 71 = 0. Let u be ((-10)\/(-45)*24)\/(4\/a). Let l = 69 + u. What are the prime factors of l?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 94 - 94 - 4*d as w + j*d and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jfupfkkj. What is prob of sequence fpkf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/30 and -103\/150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 31461217 + 7941217 = 0. What is n rounded to the nearest one hundred thousand?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 10. Let i(g) = g**3 + g**2 + 133. Is i(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1168, 15, -2 in increasing order.\nAnswer: -5, -4, -2, 15, 1168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12480 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3477 (base 8) to base 3.\nAnswer: 2112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1567417433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 13275*i**2 - 799040*i - 4315260.\nAnswer: 5*(i - 2714)*(i + 6)*(i + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12837*-5.39\nAnswer: 69191.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*l - 17*l + 63*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -241*f**4 + 121*f**4 + 122*f**4 + 38*f**2 + (f**2 + 2*f - 2*f)*(3*f**2 + 3 - 3) to r*f + j*f**3 + t + b*f**4 + m*f**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -20, 4, 3.\nAnswer: -20, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/311350 and 111\/50.\nAnswer: 311350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from tnxixicxnlxn.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 4 (c) 3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -12. Let a be 0\/(r + 0 + 2). Determine h, given that -h**3 + 0*h + a*h = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gegg when four letters picked without replacement from {d: 1, e: 1, g: 2, a: 7, i: 2, x: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 112 = k - z, 0 = 3*k - 5*z - 175. Suppose 24*b = 13*b + k. Solve 4*r - j + 13 = -6*j, -4*r - 3 = -b*j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/31955*-83*-140.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -6 + -56 + 47 + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -2)\/((-2)\/6). Suppose -a = -5*p - 12, -4*a + 27 - 11 = -4*p. Put 3, f, p in increasing order.\nAnswer: f, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1479122*f**6 + 261518*f**2 + 9*f.\nAnswer: 177494640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 63580100 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 3. Let a = 3 + -3.25. Let f = 280 - 280.5. Put a, f, -1\/3, y in ascending order.\nAnswer: y, f, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 11\/21*t**4 - 121\/210*t**5 - 4\/21*t**3 - t**2 + 0*t + 0. Factor j(n).\nAnswer: -2*(11*n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121285 (base 9) to base 14\nAnswer: -1c923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g - 78 = 9*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*b - 68 = -35*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -5. Let w(m) = 6*m + 4*m**2 - 2 + 0*m**3 - m**3 + x. Let f be w(5). Solve -f*t - 4 = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/6 + (-5)\/15. Let h = 12 - b. Calculate the common denominator of -47 and (-1)\/((h\/(-43))\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8055.23 rounded to the nearest 10?\nAnswer: -8060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1229233 and -1229204 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 7*s + 321 = 2*a, 0 = 3*s - 4*a - 913. Calculate the remainder when s is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.18 + -34.82. Let n = a - -18.8. What is n rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80583 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 13208?\nAnswer: 13208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(16\/4) - -13399. Round a to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1836*x - 1833*x - 1.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.016 and 0.185?\nAnswer: -1.85296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -168 (base 12) to base 2\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -29a9 (base 14) in base 10?\nAnswer: -7401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11\/15 + 2\/15. Which is the fourth smallest value? (a) i (b) -1\/4 (c) -3\/4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*g + 5*s - 25, -s - 37 = 4*g. Let o be (-246)\/(-21)*119\/(-204). Which is greater: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234696 and 2640.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 105 = -3*q - 0*x, -5*q = -3*x + 194. Let f(w) = -8*w - 291. Let j be f(q). Solve -7 = j*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 - 22 = 2*v. Suppose -v = -14*d + 4. Suppose 0 = 4*t + 3*c - d*c - 274, -3*t + 2*c = -208. Does 34 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {g: 4, t: 5, d: 2, e: 1, y: 2, m: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1437 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + 0 + sqrt(7)) + 6*(-2 + 2 + sqrt(7)).\nAnswer: -4 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -784 - -464. Let v = c - -320.000501. What is v rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4371 - 8484 = 100*n - 4313. Factor -1\/6*v**n + 3\/2*v - 4\/3.\nAnswer: -(v - 8)*(v - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(21)\/((sqrt(84) - sqrt(84)*-1)\/sqrt(12)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65 and 1608828.\nAnswer: 8044140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 43. Let w be (b\/(-3) + 1)*27\/(-36). Let u(r) = r**2 - 5*r - 6. Let a be u(6). Is w < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2695360.\nAnswer: 2, 5, 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -3*k + 2*j, -1262 + 1287 = k + 3*j for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -274390 (base 14) in base 12?\nAnswer: -554a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 21) + (400\/(-80))\/(1\/1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 7*l**3\/2 - 7*l**2\/2 - 4*l. Let z be m(3). List the prime factors of (2 - 22)\/((-16)\/z).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168*s**3 + 42*s**3 - 19*s**2 - 10*s**2 + 3*s**2 - 2*s + 123*s**3 to m + b*s**2 + u*s**3 + w*s and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 79.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*b - 15, -b = -0*w + 3*w - 1. Suppose 4*p - 11 = -b. What is the highest common divisor of p and 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (sqrt(275)*-3)\/sqrt(5) - sqrt(6655)*2)\/(-2*(sqrt(891)*2 + sqrt(891))*-6).\nAnswer: -sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**2 - 20*x + 12. What is the units digit of q(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 685, -2, -8 in descending order.\nAnswer: 685, 0.4, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -190668, -190682, -190706, -190746, -190808, -190898?\n\"Answer: -m**3 + m**2 - 10*m - 190658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3444?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1315\/4 - 333. Let u = -81\/20 - o. Is u at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*f = -173*f - 44. Suppose 3*z - h = 13, -5*h + 0*h + f = 4*z. Solve -z*a = 5*u, a - u = -5 - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30\/41 - -1757\/328. Let a = -2430 - 187. Let n = a + 10553\/4. What is the common denominator of n and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -38 in descending order.\nAnswer: 0, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 8:42 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 4 (b) 33 (c) -11 (d) -1075\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**6\/120 - c**4\/12 - c**2\/2 - 2. Let n(a) be the second derivative of z(a). What is the second derivative of n(q) wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001011 + 100?\nAnswer: 100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -42*v - 813. Let g be s(6). Which is smaller: -1063 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-11)*(-1199)\/218. Let o(b) be the first derivative of 1 + 0*b**w + 1\/5*b**5 - 4\/3*b**3 + 0*b + 0*b**4. Find the third derivative of o(m) wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 143*x**6 + 10*x**2 + 7 wrt x?\nAnswer: 17160*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -78*w**3 + 6*w. Let c(g) = -77*g**3 + 7*g. Determine -2*c(j) + 3*d(j).\nAnswer: -80*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 31*v**2 - 9*v - 62. Let h be y(31). Do -333 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -12*p - 71. Let w be -14*(2\/12 - (-14)\/42). What is the remainder when 36 is divided by x(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of h**2*v**2*y**2 - 1007*h**2*v**2*y + 3100*v**2*y + y**2 wrt h?\nAnswer: 2*h*v**2*y**2 - 2014*h*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0481 + -54.2481. Let x = 48 + l. Round x to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1745?\nAnswer: 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - v**2 + v. Let d(m) = -28*m**3 - 5*m**2 + 5*m - 22. Let p(z) = -d(z) + 5*s(z). Differentiate p(t) with respect to t.\nAnswer: 69*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, w: 4, p: 2, r: 3, m: 1}. What is prob of sequence rmp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -1\/5, 1, 19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1.83 (c) -1\/2 (d) -2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/4)\/((-168530)\/(-3548)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j - 11. Suppose -1 - 14 = -5*v - 2*r, 0 = 3*v - 5*r + 22. Let p be z(v). Which is smaller: -8\/15 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.722 rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 1 (b) 7 (c) 22 (d) -7.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.5 + 15. Round x to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 90*q - 95*q + 50. Suppose 5*s = -q*x + 5*x + 40, 0 = 2*s + 5*x - 22. What are the prime factors of (336 + -2)*-1*(-3)\/s?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(68)\/sqrt(4) + -1 + sqrt(17) + 1)**2 + -3 + sqrt(612)*1.\nAnswer: 6*sqrt(17) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x - 275 = -36 + 65 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + (-256)\/20)*48\/(-216).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l - 18*l = -36*l + 1484. Calculate the lowest common multiple of l and 742.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/7)\/(((-144)\/(-1638))\/(48\/104)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*g**5 + 22*g**5 + 30*g**5 + (-g + g + g)*(-2*g**4 - 4*g**2 + 4*g**2).\nAnswer: 67*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194 + -106. Let b be q\/(-2 - 3\/(-3)). Let r = b - -98. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 11*z**3 - 2*z**2 - z + 3. Let k be a(0). What is the third smallest value in -36, -43, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-15)\/3 - -21. Suppose 18 = 18*u - y*u. Let m(w) = 2*w**2 + 2*w. What is m(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.11 (b) -1\/2 (c) -6\/161 (d) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + -9 - ((-2 - 1) + 3)) + -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 6:18 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/28*(-126)\/12 and 71\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, 25, 88, 177, 292, 433, 600?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 61. What is r(-34)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*l + 8*l - 7*p - 43, -4*p = -5*l - 41 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91? (a) 0.4 (b) 0.5 (c) -4\/3 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + -7.05. Let w = -162387152 - -162387159.0000009. Let l = m + w. What is l rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -160083*w**5 + 6240465*w**4 - 22943856*w**3 - 830268972*w**2 - 14371776*w - 62208 = 0?\nAnswer: -9, -2\/231, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 31 - 6 = 2*c, 9 = 3*c + 2*h. Solve u + 3*m - 5 = 0, -2*m + 3*m = 3*u + c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a1417 (base 13) in base 16?\nAnswer: 15660e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 3*l**2 + 2*l**2)*(-30*l**2 + 35*l**2 + 61*l**2) + 2*l**2 - 4*l**2 + 0*l**4 + 2*l - 2*l**4.\nAnswer: 130*l**4 - 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29178020 + -0.02.\nAnswer: 29178019.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 6*f**2 - 2*f - 8. Let n be r(-6). Suppose -1 = h - n. Solve o = 0, u = h*o - 8 + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 s when three letters picked without replacement from hdfsdssdshdhdsdddddh?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.13507t to nanograms.\nAnswer: 9135070000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/((-2)\/(-16)). Let n = k + -1. Suppose 1 = n*f - 2. What is the remainder when 2 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/4)\/(4\/8). Suppose 5*d + 19 = 2*p + 1, 0 = -5*p + c*d + 26. Let f(w) = 23*w - 2. Let k be f(2). Calculate the highest common factor of k and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**3 + 9*t**3 + 3*t**3 + (0*t**2 + 2*t**2 - 3*t**2)*(2*t - 5 + 5) + (0*t + 3*t - 4*t)*(0*t + 0*t - t**2) as r*t + p*t**2 + b*t**3 + n and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t**2 + 15*t + 8*t**2 + 2*t**3 + 42*t - 57*t.\nAnswer: 2*t**3 + 25*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 30*a**2 + 223*a - 10. What is d(-6)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1527 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6695 is divided by 100.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o*o**3)\/o))\/o**4 assuming o is positive.\nAnswer: o**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117440924.\nAnswer: 2, 4639, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 8) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2141 a factor of 4770454163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6\/41 - -148\/451. Let t = 12.8 + -1.8. Let g = 6 - t. Sort g, 0.2, q.\nAnswer: g, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -13*h**3 - 5*h**2 - 29. Let o(q) = -32*q**3 - 12*q**2 - 72. What is -12*j(d) + 5*o(d)?\nAnswer: -4*d**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -25*x - 46. Let r be g(-2). Solve -r*o = -6*o - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 240 = k. Suppose -k = -3*p - p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 - 10 = 3*h, 0 = -r + 2*h + 6. What is the third biggest value in r, 3, -6\/13, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/4 + 90\/(-24)*-1. Solve o*t + 10 = -4*m, -2*m + 4*t - 31 = -11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78342 or 78249?\nAnswer: 78249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*s**6 - 29*s**5 + 411*s**2 wrt s.\nAnswer: 480*s**3 - 1740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (292\/730)\/((-3)\/15)*(-34)\/(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 938 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) - (-52)\/9. Let l = 5 - w. Let m(b) = -b - 1. Let z(a) = -4*a - 2. Suppose -4*k - 3*d = -6*k + 6, -5*d - 6 = -2*k. Calculate k*m(v) + l*z(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 770*a**2 - 58290*a - 12410. Let j(z) = -70*z**2 + 5299*z + 1128. Let s(f) = 65*j(f) + 6*q(f). Factor s(g).\nAnswer: 5*(g - 76)*(14*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350 and 226660?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**2 - 4*a**2 - 4*a**2)*(3 - 5 + 3) + (0*a + 2*a - a)*(-3*a - 3*a + 4*a) - 3 + a**2 + 3 + 32*a**2 + 1031 - 1031.\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -155160?\nAnswer: 155163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(228) - (sqrt(228) + 1*sqrt(228))))\/(-3*(sqrt(6) + sqrt(6) + sqrt(24)\/sqrt(4))))\/((sqrt(72) - (sqrt(72) + sqrt(72)*-1*-4) - sqrt(72))*-5).\nAnswer: -2*sqrt(19)\/675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1870745202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 3:12 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 5*s + 484. Calculate the remainder when h(-28) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + (sqrt(3) - (sqrt(27) - sqrt(3)))**2 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 22409*j - 873939. Calculate n(39).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 630 = -70*f - 695 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-7))\/(2\/(-14)*-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1097, -1098, -1101, -1106?\n\"Answer: -l**2 + 2*l - 1098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(1 - 3 + 1)*(-118715 + 118715 - 216*z).\nAnswer: 216*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. Let j = 16 - 10. Let g be j + 0 + (3 - 5). Solve -4*p = g, -5*c + 28 = -0*p - k*p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 959 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-410)\/2665 - (12946\/13 - -1). Let m = 1482 + q. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -34, -93\/2 in ascending order.\nAnswer: -93\/2, -34, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 8*x = 12*x - 27*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17843 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*i + 9. Suppose -2*h + 3 + i = 0. Let y = h - 3. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.05 in -29\/5, 2\/3, 0, 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaafgayfkgmfmkayag. What is prob of sequence kfy?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 955889400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -122 and 91044.\nAnswer: 90922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-1568)*700 + 41?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-9))\/(8\/12). Let i be -1 + -2 - 3*o. Factor 2\/9*a**2 + i + 4\/9*a.\nAnswer: 2*a*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - -37) + (1 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -919, -1822, -2723, -3634, -4567, -5534, -6547?\nAnswer: -7618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.9 (b) -5 (c) 801 (d) 3 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12265 and 1155?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.089 - -0.341. Let q = -0.07 - s. Which is the smallest value? (a) q (b) -5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-21)*(12\/(-4)*1)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.04 - 175.\nAnswer: -173.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**3 + 8*b**2 - 6*b - 3. Let m(a) = 16*a**3 + 39*a**2 - 31*a - 16. Let y(f) = 2*m(f) - 11*x(f). What are the prime factors of y(-11)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1089, 0.18, 5, 1\/5, 2\/9, 21\/8 in descending order.\nAnswer: 1089, 5, 21\/8, 2\/9, 1\/5, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -11951.\nAnswer: 4\/11951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 92*f**2. Let o(u) = 7*u - 5*u + 2*u - 2*u - 3*u. Give o(p(i)).\nAnswer: -92*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 1:00 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19106, 8822, -1462?\nAnswer: -11746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 24 = -3*r, -2 - 2 = -3*b - r. Suppose -4*a - b*v = -a - 555, 2*v - 2 = 0. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(-3) + (-52)\/13.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1075 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-9)*(540\/375)\/(-6))\/(1\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttl when three letters picked without replacement from {c: 7, t: 2, k: 2, l: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 10*l**2 - 2*l**2 - 8*l**2.\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-4 - 4 - 12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-15)\/(-175))\/((-224)\/98)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 5*j**2 - j - 7. Let s be i(-5). Let f be (s\/4)\/(2\/(-8)). Solve 10 = -5*a - 3*z, -2*a - 11 = f*a + 3*z for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 0*i**6 + 0*i**5 + 22*i - i**2 + 0 - 15*i**3 + 179\/42*i**7 + 0*i**4. Find the second derivative of d(n) wrt n.\nAnswer: 3580*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2. Let t(i) = 186963*i + 434. Give t(j(m)).\nAnswer: 186963*m**2 + 434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.56 + 0.56. What is the second smallest value in 2\/9, -1, m, -8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -d**2\/2 - 9*d + 2882. Let i(z) = 5*z + 45. What is 4*i(j) + 22*r(j)?\nAnswer: -2*j - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/4 - 3*t\/4 + 5\/2 = 0. What is t?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9526447 to two dps.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(605) + -4)**2 + sqrt(605) - (sqrt(605) + sqrt(605)*1 + sqrt(605) + 3)) + 0.\nAnswer: 242*sqrt(5) + 5458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -1\/24*i**4 - i**2 + 1\/2*i**3 + 0 + 0*i. Let p(g) = 6*g + 2. Let t be p(-1). Determine k(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642027 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1781*h - 895*h - 898*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a centimeter?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*k - 262*k + 204 = 0. Calculate the greatest common factor of 663 and k.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104*w - 4683 + 4683)*(0 + 3 - 2 + (4 + 1 - 3)*(1 - 1 - 1) + 0 + 7 + 2).\nAnswer: 832*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.3, 7.1, -1\/77 in decreasing order.\nAnswer: 7.1, 3, 0.3, -1\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, 5, -2, 5457, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**2\/7 + 6084196*w\/7 + 12168400\/7 = 0?\nAnswer: -2, 3042100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-23)\/(-14) - (504\/(-294))\/(-12). Let r = -0.01 - -2.01. Let f = 2 + 1. Sort r, f, j, -3 in descending order.\nAnswer: f, r, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 50, -0.14, 1?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 7.9. Which is the second biggest value? (a) 0.5 (b) 2\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 193a813 (base 11) to base 7\nAnswer: 36605311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 259*f**2 - 11*f**3 + 3 - 259*f**2 wrt f.\nAnswer: -33*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178172 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 450.359542 rounded to one dp?\nAnswer: 450.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5 = y, 0 = -973*a + 976*a - y - 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34242 (base 6) to base 3.\nAnswer: 20122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/4 + (-93)\/62. Let d(w) = -10*w**3 - 11*w**t + 4*w - 4*w**2 + 29*w**3 - 2*w**3. Let v(a) = a**3 - a**2 + a. Determine 3*d(m) - 12*v(m).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232776 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 179487 and 101871?\nAnswer: 3769227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/36*12\/(-9)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/9, 13\/4, -0.4, 1, -396, 0.3, 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 21 + 1 = -16*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/377163362 and 103\/12.\nAnswer: 2262980172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.37 + 4.37. Which is smaller: -5 or d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9244222 is divided by 232?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9881138.52 + 201?\nAnswer: 9881339.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 4:07 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*m = -165*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 527?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 136850 (base 9) in base 8?\nAnswer: 243527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -17. Let f be -1 - -2*11\/m. Solve f = 5*v, 4*q + 3*v = -0*v + 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*p + 3150554, -1890345 = 12557*p - 12560*p + 2*d. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 960 and 103872.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17410)\/65 - (-4)\/(-26). Let y = h - -1873\/7. Is -0.1 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**5\/70 - 82*l**4\/21 + l**3\/21 + 164*l**2\/7 - 4243*l. Factor v(f).\nAnswer: -2*(f - 1)*(f + 1)*(f + 164)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 755 and 167459?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2 + 165888*w + 1719926784 = 0. Calculate w.\nAnswer: -20736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/2430594 and 31\/17149191.\nAnswer: 308685438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/48 and 79\/7312.\nAnswer: 21936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 47 = 3*m, -2*t - 50 = -5*m + 2*t. What is the smallest common multiple of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/12 - (-4)\/(-48)*14. Which is greater: -196\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79218 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - u, -2*y - u + 2*u = 2. Solve 3 + y = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 3*f - 54 = 0, 22 = 58*n - 55*n - f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 258 = -131. Let d = -188 + p. Suppose 5*c + 56 = d. What is the remainder when c is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 634980*s**2 + 635992*s**2.\nAnswer: 1012*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2313 is divided by 645.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1904\/720 + -8?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67867 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1296?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1135735, 1135732, 1135729, 1135726?\n\"Answer: -3*l + 1135738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 - 210. Let n be 0*(6 - o\/(-12)). Let y = 2 + 3. Solve -y*j + 9 = 4*m - 7, n = 3*m - 5*j - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/12 + 7*w**3\/6 + 4*w**2 - 2*w. Let v be f(-6). Suppose -115 = -v*z + 47. What is the greatest common factor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 126721 and -62.\nAnswer: 126659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101992388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i\/i**(6\/5))\/i)*i)\/((i\/(i\/(i**15\/i))*i)\/i*i) assuming i is positive.\nAnswer: i**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t = 2*r + 18*t - 1, -2*r - 6 = 4*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 take away -0.718?\nAnswer: -19.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7851, -7871, -7893, -7917, -7943, -7971?\n\"Answer: -u**2 - 17*u - 7833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 313545806286?\nAnswer: 313545806286.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35828462 divided by -1531\nAnswer: 23402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*s**2 + 11*s**2 - 20*s**2 - 27*s + 27*s + 45*s**2.\nAnswer: -43*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/351480 and 77\/20184.\nAnswer: 10192920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*l**3 - 110*l + 106*l**3 + 110*l.\nAnswer: 178*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -0.178 (c) 21\/8 (d) 5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.9 in 12, 0.4, 4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33228074 and 1254?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysbbylysbslbyybybby. Give prob of sequence lsy.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2 - (9 + -3)) + 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, f: 5}. Give prob of picking 1 l and 1 f.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0 (c) 2\/21 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -55*f + 53*f + 5*m, -5*f = 2*m - 100. What is the remainder when 791 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540186?\nAnswer: 2, 3, 90031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, 20, 0.4, 10.\nAnswer: 0.4, 4, 10, 16, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q + 2*q + 0*q)*(-6 - 4 + 4)*(17*q - 3*q - 4*q) to x + h*q + z*q**2 and give z.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 255 = 5*c. Suppose -5*l - g = 213, -3*g = -3*l - 0*g - 117. Let v = -25 - l. Calculate the remainder when c is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11*s + 1. Let f be i(1). Let r(j) = 2*j - 9. Let o be r(f). What is the units digit of o\/(4\/(-4)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 905 by -181.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.01 (b) 0.4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (1 + sqrt(288))*-5) + sqrt(2)*1*-3*4)**2 + (sqrt(4)\/sqrt(2)*-1 - (1*(0 + sqrt(2)))**2) + sqrt(4)\/(sqrt(8)\/sqrt(4))*-3.\nAnswer: 596*sqrt(2) + 7223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.8037213nm?\nAnswer: 0.0000000000008037213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from oooodoodoodooooooooo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 1:31 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -517, -502, -487, -472?\n\"Answer: 15*c - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.9, -9\/413, -0.2 in descending order.\nAnswer: -9\/413, -0.2, -10.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 36, 1825, -0.13, 2\/3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.081409347 to two decimal places.\nAnswer: 4.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4 + 1. Let c be ((-8)\/10)\/(10\/25). Let w be 7 + 25\/(-5) - (-4)\/c. Solve -f - 5*s = f - i, w = 5*s + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*c**4*z**3 + 18*c**4 + 15*c**3*z**3 + c**2*z**2 + c*z - 114*c - 2*z**3 + 154 wrt c?\nAnswer: 1080*c*z**3 + 432*c + 90*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -13*g**3 - 2*g + 2. Let b be l(1). Let f = b - -9. Is 11 a factor of 2\/f + 1513\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2069*n**2 + 207*n**3 + 2084 + 310*n - 5*n**4 + 2057 - 2731*n**2 - 517*n**3 + 664 = 0. What is n?\nAnswer: -31, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r - 2. Let s be b(1). What is the nearest to 2 in -0.3, 0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f - 1170. What is the greatest common factor of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 600 and 32?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2766\/1383)\/(4\/(-42))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/12 of a minute in milliseconds?\nAnswer: 65000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -163063691.\nAnswer: 81531845.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmrlrmrrmll. What is prob of picking 4 r?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -954*g + 97. Let x(l) = -957*l + 130. Give -4*i(r) + 3*x(r).\nAnswer: 945*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**4 - 446*h**5 + 18326*h**2 + 2*h**4 - 9167*h**2 - 9159*h**2 + 3168*h wrt h.\nAnswer: -8920*h**3 - 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -5, -30, -1226 in descending order.\nAnswer: 39, -5, -30, -1226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 2*y + 2. Let q be j(-3). Let x = 1 - q. Let p = -154694 - -154697. What is the smallest value in x, p, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20627 is divided by 197.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.6, -102\/11, -6, -2 in descending order.\nAnswer: -2, -5.6, -6, -102\/11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 35 + -33. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2.7, 2\/13, 2\/9 in ascending order.\nAnswer: -4, -2.7, 2\/13, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 188039 and 6751.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -52*r + 48*r. Let y(j) = 5*j + 2. Let z be y(-2). Let x = 14 - z. What is the lowest common multiple of r and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5.3. Let m = 0.8 + -1. Let d = m + b. What is the closest to 1 in 5, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58, 118, 178, 238?\n\"Answer: 60*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29\/7 in -1\/4, 1\/10, -4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - u + 34 + 126, -2*g - 5*u = -80. Solve -g + 36 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.7 - 6.5. Round n to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 2\/7, 1, -1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one halves of a milligram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -159265.008 to the nearest 10.\nAnswer: -159270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169 + -332. Let w = -95 - g. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 178027026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 + 2 - 2*h**2 + 0*h**2 - 4*h**2 to y + c*h + q*h**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539 (base 10) in base 9?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*r - 10. Suppose 4 = -r*t - 36. Let d = 11 + t. Calculate the least common multiple of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/28 - (-52)\/(-16). Let g(t) be the first derivative of -t**4\/4 - 2*t**3\/3 + 3*t**2\/2 + 3*t - 1. Let l be g(v). Solve 0 = -l*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2\/2481917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 2*t - 192. Suppose -l + 5 + t = 0. What are the prime factors of l?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42.2152 and 11.\nAnswer: 464.3672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -24*l**2 - 8*l + 6. Let p(b) = 11*b**2 + 4*b - 3. Give -13*p(z) - 6*w(z).\nAnswer: z**2 - 4*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631?\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -978 - -993. Solve 26*c - 23*c = s for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 45*z + 10. Let n be b(-20). Let a = -107 + n. Suppose 3*t + 3 + 0 = 0, -3*t - a = -r. Is 1\/10 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, i: 1, h: 2, l: 1, p: 2}. Give prob of picking 1 l and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i + 1. Let g be 18\/(-9) + 2 + 150. Suppose 5*k - 3*m + m + g = 0, 2*m = -k - 30. Let a be (-1)\/(-3 + k\/(-9)). What is n(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18172 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 39 = 3 + 25 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.5 - 32.7. Which is the nearest to j? (a) 0.13 (b) 1\/4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*d + 948*b - 943*b + 96, 0 = -4*d - 3*b + 48 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3293 is divided by 146?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67924 - 475452\/7. Factor -4\/7*s - u + 2\/7*s**2.\nAnswer: 2*(s - 4)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 7*c**2 + 5*c - 1. Let f(i) = i**2 - i. Suppose -2 = 3*m + 1. Let w(d) = m*a(d) - 3*f(d). Let n = -4 - -7. What is w(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + 14*a + 17. Let z be f(8). Let p be (-2 + (-30)\/(-6))\/z. Solve -p = 5*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -32 - (-2 - (-6 - (8 + 38))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.8123 litres to millilitres.\nAnswer: 285812.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -44*l**2 + 0*l - 145 + 0*l**3 - 83\/4*l**4. Find the second derivative of o(f) wrt f.\nAnswer: -498*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -133*a + 49. Let y(x) = x**3 + 2*x**2 - 6*x + 4. Let z be y(-4). Let o(t) = 11*t - 4. What is z*p(s) - 49*o(s)?\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 4*l**2 - 3*l + 14. Let b be s(-5). Let v be 0 + -1 + b + 0. Calculate the greatest common divisor of v and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4648\/(-2140) + 1 - 78*13\/(-845).\nAnswer: 3\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**3 + 29*c**2 - 3*c - 102. Let o(g) = -g**3 - g. Let h(x) = 3*o(x) - q(x). Find the first derivative of h(t) wrt t.\nAnswer: -18*t**2 - 58*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-580)\/1160)\/(120\/(-800)*2\/(-15))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -89.\nAnswer: -22\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - 35 - (8 + -1 + -8 - -5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55 in 1, 127, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 10*u**3 + 12*u**2 + 23*u - 5. Calculate l(-3).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135531 is divided by 27106.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 782, 716, 520, 128, -526, -1508, -2884, -4720?\n\"Answer: -11*z**3 + z**2 + 8*z + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40633 and 1432.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 - -226. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5472))\/sqrt(450) - ((sqrt(931) + -1 - sqrt(931)) + 2 + 5).\nAnswer: -6 + 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 143. What is a(0)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -3*v - 0 - 9, 2*x - 6 = 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 3*t**2 - t + 10. Let f be r(2). What is the second derivative of 11 - 3*k - f*k**5 + 2*k**4 - 12 - k wrt k?\nAnswer: -400*k**3 + 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 2*u + 7*u**2 - u**2 + 5*u**2 - 2 - 8*u**2. Let k be (255 - 15)*5\/(45\/(-6)). Let f = k - -163. Determine l(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + sqrt(11) + (1*sqrt(11) - sqrt(11)) + 3)*3 + -5)**2.\nAnswer: 492*sqrt(11) + 2077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5*(-2)\/2 + (-13 - -653)?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 188, 370, 662, 1100, 1720, 2558?\nAnswer: 3650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*b*x**3 - 2*b*x**2*z + 6*b + 21*x - 6*z wrt x.\nAnswer: -21*b*x**2 - 4*b*x*z + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 63*w + 444. Let u be a(-55). Solve 4*c = -f + u, 0 = 4*f + 2*c + 768 - 770 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-11))\/((-8)\/(-44)))\/1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -23 - (-4 - (-9 - (-5 + 2 + -2))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and -304243.9.\nAnswer: -18254.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfdgfgffgfgffgdg. Give prob of picking 1 d, 1 f, and 2 g.\nAnswer: 21\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*12\/8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 8. Let y be f(6). Suppose 6 = c + 2*c. Factor -2*j**2 + y - 3*j**c + 3*j**2.\nAnswer: -2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i = 26 - 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/((12\/(-120)*-2)\/(6\/45)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.9 less than -0.1?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 15475*o**2 + 82 - 239 + 77.\nAnswer: -15475*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5 - 14. Suppose -g + 2*g - v = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13099587*i**3 - 141794615?\nAnswer: 39298761*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*c - 645*c = 20 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 58, 119, 194, 277, 362, 443, 514?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 62819 in -5, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63786?\nAnswer: 2, 3, 10631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33*6*(-23 - (-25)\/((-1350)\/(-1266)))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8497429872 to the nearest integer?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 4*x + 1 - 18, 0 = 5*q + 5*x - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 5, 3, 0.1, -3\/1603 in decreasing order.\nAnswer: 5, 3, 4\/7, 0.1, -3\/1603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-3))\/((-2750)\/375)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - l**2 + l + 2. Let r(p) = 3*p**3 - 5*p**2 + 4*p + 8. Let w(m) = -4*k(m) + r(m). Give w(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - 2*f + 19 + 52 + 4*f - 3*f to a + n*f and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 42574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0.4, 27, -1, 2, -2.6 in descending order.\nAnswer: 27, 13, 2, 0.4, -1, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*y**3 + 151*y**3 + 61*y**3 - 47*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -464220*b**4*d**2 - b**2*d**2 + 53*b**2 - 2*b*d**2 - 138 wrt b?\nAnswer: -11141280*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -5*t - 156. Suppose -20 = -t*q + 4. Suppose 4*n - 6 = n, -q*d + 2*n - 4 = 0. Solve -5*i + c - 20 = d, 0 = -2*i - 0*i - 5*c - 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.29419, -5, -1.2, -1\/5?\nAnswer: 0.29419","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) + sqrt(931) + 0)*-6)**2 + 4*(-2*sqrt(931))**2.\nAnswer: 148960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5*n = -8, -3*n + 5*n - 8 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 16*t. Let y(w) = -310*w + 31. Let m(h) = -39*h + 4. Let q(r) = 31*m(r) - 4*y(r). Give n(q(k)).\nAnswer: 496*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnfprnprnryfypf. Give prob of picking 2 y.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1408 + 13*u**3 - 2*u**2 - 2*u**4 - 1408 + 0*u**2 + 2817 to w + j*u + z*u**3 + t*u**4 + g*u**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, r: 2}. What is prob of sequence bb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*c**4 - 89*c**4 - 116*c**4 + (-2*c - 2*c + 3*c)*(c**3 - c**3 - 3*c**3) in the form m*c**3 + s*c**4 + d*c**2 + p + u*c and give s.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-39)*(4 + 0 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 6*v**2 - 7*v + 2. Let a be t(-5). Let c = a - 5. What is the greatest common divisor of c and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q + 3. Let l(k) be the second derivative of 7*k**3\/6 - 7*k**2\/2 + 12*k + 2. Calculate -5*g(b) - 3*l(b).\nAnswer: -b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 - -180. Suppose x = -5*h - u, -5*u - 20 = 5*h + 30. Let o = h + 23. Solve 4*v - v = o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 72*h = 406 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -3*m + 9. Calculate the highest common divisor of 165 and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6162)\/315*(-1017015)\/36. Let y = w - 552635. Let l = 27\/14 + y. Is l < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(70) + ((sqrt(70) - (sqrt(70) - 4*sqrt(70)) - sqrt(70) - sqrt(70)) + sqrt(70))*-1)\/(4*sqrt(10)*4 + sqrt(10)) + -1)*2.\nAnswer: -7 - 4*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -800671.\nAnswer: -5\/800671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w**2 + 18*w**2 - 4*w**2 - 4*w + (-1 - 2*w + 1)*(-2 + 2 + 2*w) to d + y*w + j*w**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/12)*h*h)**(4\/7) assuming h is positive.\nAnswer: h**(19\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500\/30*81\/270.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110580059.010000071 + 110580064.33. Let w = s + -5.32. What is w rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**4 + 51*a**3*c**3 + 96*c**3 with respect to a.\nAnswer: -16*a**3 + 153*a**2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/10)*d\/(d**(1\/17)\/d) assuming d is positive.\nAnswer: d**(381\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3 = b - 0, y - 17 = 5*b. Let x be y\/12 + (-8511)\/(-18). Is x\/5 + (-4)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-2)*((-4)\/(-18))\/(3\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1740*30628.\nAnswer: 53292720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 760 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:47 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 17?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from {p: 3, b: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*c - 41*c = -24. Let o(y) = -211*y - 9. Is o(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adrli. What is prob of sequence lda?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 639661500 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 12:42 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + 6190\/(-14) + 4\/28. What is the remainder when 3\/(-6) + r\/(-2) is divided by 77?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 2*t**2 - 1. Let c be r(1). Which is bigger: -1\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -11*n + 95. Let q be c(4). Solve 5*b = -36 + q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 9 + 11\/4*s**4 + 0*s**3 + 4*s + 0*s**2. Is i(2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4)*w\/(w\/w**(-1))*((w\/w**(-1))\/w)**21)**(-25\/2))**(-14\/3) assuming w is positive.\nAnswer: w**(2800\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2149928 + -3?\nAnswer: -2149931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 + 103. Calculate the remainder when -1*22*(p - 3) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -6 + -13 - (-12)\/32*-8.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*c**5 - 53*c**4 + 7*c**2 + 54945*c wrt c?\nAnswer: -380*c**3 - 636*c**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t + 37 = 8 - 36 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*k - 2606 = -4511 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*x - 5*a - 0, -5*a = -10. Let c(h) = 5*h + 2. Let b be c(6). Suppose x*w = w + b. What is the smallest common multiple of 4 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-136)\/(-51))\/((-5)\/(15\/(-2))). Suppose 0 = s*d + 9109 - 39545. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.128427084 rounded to three dps?\nAnswer: -1.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 25, -5, -67, -173, -335, -565?\nAnswer: -875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.4 - -2.8. Let a = z + 1.599987. What is a rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 34*l - 1. Let n(b) = -250*b + 5. Determine 15*i(w) + 2*n(w).\nAnswer: 10*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/1741 (b) 3 (c) -0.2 (d) -6\/5 (e) 3.73 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-50)*-2)\/((-35)\/(-175))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85741039 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -13.66. Let w = 0.25 + a. Let o = 0.116 + w. What is o rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-7 + 2)\/(-1). Suppose 4*k + 2*w + 3*w - 20 = 0, 0 = k - n*w + 20. Let g = 17\/3 + -37\/6. What is the nearest to -4 in g, 2, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(448) + 0)**2 + (sqrt(448) - (0 + sqrt(448)))**2 + 3)*-4.\nAnswer: -7180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -22725608295?\nAnswer: 22725608295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11, -4 in decreasing order.\nAnswer: 2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1608\/(-603)*2\/(8\/(-7617))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qchhqhiqhqciihiqi. Give prob of sequence icc.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11011001010111100110 (base 2) to base 8\nAnswer: -3312746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2409671.1 months to millennia.\nAnswer: 200.805925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 2 - 2 + (0 - 1 - 1)*(-2*j + 4*j - 4*j) - 3 + 3 - 3*j - 6 - 4*j + 6)*(40*j - 80*j + 36*j) to n + p*j + m*j**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 - -1555\/8. Let g = -134 - -134.5. Sort g, h, 3.\nAnswer: h, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004707 to 5 dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -7*u + 150. Calculate the highest common factor of u and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 16 = -6*o, -315*s - 44 = 5*o - 312*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q - 12 + 12*q + 47 - 24)*(-3*q**4 + 4*q**4 + 5*q**4).\nAnswer: 24*q**5 + 66*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(10\/3)\/(m*(m**(2\/35)*m)\/m*m*m)*m*m\/(m\/m**(-1\/41))*m**(-30))**38 assuming m is positive.\nAnswer: m**(-4702918\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 354561.3l in millilitres?\nAnswer: 354561300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*((j\/j**(-1\/2))\/j)\/j*j**(-1\/9))\/(j**(-5\/6)*j**23))**(1\/46) assuming j is positive.\nAnswer: j**(-187\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*o + 938 + 1199 = 218*o - 509 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -23*j + 1209. Let r be z(52). Calculate the highest common factor of r and 6747.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiu when three letters picked without replacement from iiiuuiui?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - 27) + 1 - 65.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(-1 - -47) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from ggigggiiggggiggiig?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/50*14\/(-16) and -7\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-6)*(-12)\/(-50)*(-106 - -96). Solve 2*f = -3*i + 31 - 29, 3*f = -n*i + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 11 = 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcxhowx. Give prob of picking 2 x and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*b**3 - 6\/5 + 2*b - 2\/5*b**2.\nAnswer: -2*(b - 1)**2*(b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-3*v**5 + 2*v**5 + 2*v**5) + (3*v**3 + 3*v**3 - 4*v**3)*(-2*v**2 + 3*v**2 - 3*v**2) + 379380*v**4 + 5039*v**5 - 379380*v**4.\nAnswer: 5034*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - d**2 - 5 - 3*d**3 - d + 4*d**3 - 3*d. Let n be h(5). Let x = n + -33. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + -3 + (-3644)\/(-108))\/(-90). Let d = 2\/243 + g. Which is the nearest to -2? (a) d (b) 1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 589 - -230. Let s = 822 - n. Which is the third smallest value? (a) -4 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h. Let c(n) = -2*n**2 - 7*n. Let y(f) = -c(f) + 3*x(f). Let w(o) = -o**2 + o - 1. What is 2*w(j) - y(j)?\nAnswer: -4*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (46 - -2)\/3 + -2. Suppose 5*r + s = -3*a, -4*r - 23 = -4*a + 1. Suppose -a*k = k - 3. Solve -24 + k = 5*y + p, -5*y = 2*p + 26 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136\/((-1)\/(-5)*580\/16414)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2988, -11933, -26836, -47697, -74516?\n\"Answer: -2979*k**2 - 8*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 9*z**2 + 8*z + 4. Let u be n(-10). Let y = 37 - u. Suppose -3 - y = -c - 2*v, -4*v - 150 = -5*c. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6940318049 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 7. Suppose 0 = -0*z + h*z + 2*p - 16, -4*z + 22 = 5*p. Suppose z*x = 5 + 1. Sort x, -5, -2 in increasing order.\nAnswer: -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 20*k**3 + 17*k**2 + 17*k - 20. Let n(q) be the third derivative of 7*q**6\/120 + q**5\/10 + q**4\/4 - 7*q**3\/6 + 1344*q**2. Calculate -17*n(f) + 6*o(f).\nAnswer: f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1779776 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/((156\/(-364))\/((-4)\/(-14)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 + 93. Suppose 5*h - 4*p + 9*p - 65 = 0, h + 2*p - 18 = d. Suppose 48 = t + 3*t. What is the highest common factor of h and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -201 + 203. Suppose 0 = -3*d + 7 - 16, 0 = 3*b + l*d - 4047. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blbb when four letters picked without replacement from bbllbl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13373802.8 rounded to the nearest one hundred thousand?\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 774 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/65? (a) 0.5 (b) -15 (c) 6 (d) -3 (e) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64*a*i*o**3 + 2*a + 15*i*o**3 + 8*i - 1320*o**2 wrt o?\nAnswer: 384*a*i + 90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -303 + 315. What is the highest common factor of o and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41854.\nAnswer: 2, 17, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6390 >= 6385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333435 (base 8) to base 13.\nAnswer: 3c222","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1020*h - 1015*h = -2*a + 23, 3*a = 5*h - 56 + 128 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 558 - -150\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/14 + 30\/(-70). Let p = 0.043 + 20.957. Sort j, p, 1 in descending order.\nAnswer: p, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -294*g - 2527 + 3605 + 3920 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -597321, -597330, -597345, -597366?\nAnswer: -597393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 346*q**3 + 200*q**4 + 1343*q**5 - 1328*q**5 - 1250*q**2 - 71*q**3 - 440*q = 0?\nAnswer: -11, -4, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.46 and -0.64067.\nAnswer: 7.81933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -322974 minus -1.671?\nAnswer: -322972.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -958 + 957.88. Suppose 2*r - 4 = -2. Which is the biggest value? (a) w (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g - 144. Determine j(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + f + 4*w - 1, 0 = -w + 1. Suppose 0 = -2*y - f*y - 55. Let v = 19 + y. What is the remainder when 29 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -14796.\nAnswer: -59184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6744*k**2 + 374*k + 374. What is the units digit of a(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g. Suppose -15 = -2*f - 3*f. Suppose -f*j + 60 = -0*j. Let q(c) = j - 20 + c. Give 9*q(n) + 2*y(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 4*w + 4*y + 20, 5*w - 2*y - 17 = 0. Suppose d - 4 + 5 = 0. Which is bigger: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 0)\/(-4 + 5). Suppose -18*l + 15*l + 114 = w. What is the highest common divisor of l and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35247.\nAnswer: 3, 31, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 34*p**3 + p**2 + 74*p - 195. Determine k(4).\nAnswer: 2293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -56 - 3?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000807582 rounded to 7 decimal places?\nAnswer: -0.0000808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 22*m**2 - 7. Give u(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(52)\/(sqrt(16)\/sqrt(4)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(4 - 2 - 5)*(6*h - 23*h - 7*h).\nAnswer: 144*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 63*q**2 + 521*q - 468. Determine z(-53).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -264247 (base 10) in base 12?\nAnswer: -108b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 322, 1283, 2886, 5131, 8018?\n\"Answer: 321*t**2 - 2*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25350 is divided by 1312?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/55*(-25)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d + 2805. Let i be a(0). Suppose 24*k - i = 21*k. Let f = 2296 - k. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66623932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.8 + 14.1. Let i = 11.3 - u. Sort -4\/9, -0.01, i in ascending order.\nAnswer: -4\/9, -0.01, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 76*u**2 + 11*u. Let s be f(2). Suppose -2*h = -s - 96. List the prime factors of h.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l + 5. Let u(p) = -p + 1. Let b(x) = -2*n(x) + 9*u(x). Let s(a) = a**2 + 7*a + 11. Let h be s(-3). Determine b(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4\/3, 12, -3\/11, 0.1?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**6\/6 - 77*m**5\/15 - 5*m**4 + 11*m**2 - 2*m + 4. Let c(o) be the first derivative of d(o). Factor c(g).\nAnswer: -4*g*(g + 15)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120284 is divided by 1562.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h = -7 + 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**4\/12 - 5*z**3\/3 + 5*z**2\/2 + 19*z. Let g be m(4). What is the tens digit of 0 + 3\/((-9)\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5066 - 2538. Let p be (-6)\/21 - u\/(-28). Round p to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1279366, -2558732, -3838098?\n\"Answer: -1279366*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13317 - -6703. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 - -81. Let z(n) = 2*n**2 + n + 1. Let t(h) = -15*h**2 - 23*h - 22. Let j(i) = x*t(i) - 35*z(i). Factor j(b).\nAnswer: 5*(b + 1)*(b + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + n - 1. Let x(f) = 15*f**4 + 35*f**3 + 5*f**2 + 5*f - 5. Let g(z) = 5*p(z) - x(z). Factor g(w).\nAnswer: -5*w**2*(w + 2)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 617 = i - 2*n, 4*i + 148*n - 143*n - 2377 = 0. Solve -588 = -15*z - i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218 - 213. Let k(y) = -2*y - 8 - y + 4*y. Give k(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 - 12*w**2\/5 + 32*w\/5.\nAnswer: w*(w - 8)*(w - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 796 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 4740748?\nAnswer: 1422224.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 825225 and 7265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51\/2 + -25. Let y = 0 + 2. Let t = 654 - 656. Which is the closest to l? (a) t (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25451d55 + -5?\nAnswer: 25451d50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21240, 21196, 21124, 21024, 20896?\nAnswer: 20740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, j: 8, c: 2}. Give prob of sequence ooj.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-24))\/((-189)\/56)*-54.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i - 11. Let r(q) = q**2 - 5*q - 3. Let l be r(7). Let x = l - 6. Let p(z) = 4*z + 7. Let t be 8\/(-8)*-8 + -2 + 2. Give t*p(y) + x*c(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -119858*y + 414. Let u be n(-17). What is u rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3025.75383 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-19))\/d**20*d*d**(3\/11)*(d*((d\/d**(2\/39))\/d*d)\/d)\/d)**(-3\/17) assuming d is positive.\nAnswer: d**(15778\/2431)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 + -63. Let i = -41 + n. Let s = -43\/74 + 3\/37. Put 0.2, i, s in ascending order.\nAnswer: s, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/36*(10 + -3 - 3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/((48\/(-1900))\/((6808\/185)\/92)).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*f + 65 + 23, -3*f - 32 = l. Sort l, 4, 2, 5 in descending order.\nAnswer: 5, 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f = 19*f - 49 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyxx when four letters picked without replacement from sxsyyyxsssssxsssss.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.194566 to one dp.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) -2570 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/5073978 and -151\/15946788?\nAnswer: 111627516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.89? (a) -5 (b) -5317 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14825 = 330*n + 2865*n - 2045 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 15 = 4*x. Suppose 0 = 20*d + 5*d - 125. Solve -d*v + n = 16, 5*v - n - x*n = -19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -3)*(-2 + -1). Let v be l*6\/9*-1. Factor 2*j**3 - 2 - 4*j - 2*j**v + 0 + 2.\nAnswer: 2*j*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 132*r = -4*k + 130*r + 8, -3*r + 624 = 36*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33389\/3 + 11130. What is the nearest to m in -2, -15\/11, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 21\/5 (c) 0.02 (d) 108\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t**2 + 3*t - 1. Let y be o(1). What is the units digit of 1\/((-3)\/(-537))*y\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 154994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 0 + 0 + -4 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (187 + 229 - 1553)*(4*f - 2*f + 0*f).\nAnswer: -2274*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*u = 3*g - 6, g + 3*u = -6. Let p be -1 - 15\/((-20)\/4). Suppose p*o - 7*o + 110 = 5*j, -4*o + j + 103 = 0. Solve g = -k - 4*k - o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -17. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.38 + 0.87. Let m = 19.51 + t. Let g = -20.0000108 + m. Round g to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7027\/420 + 259\/15. Let g = z - 1\/4. Let w be ((-3)\/(60\/(-32)))\/(-2). What is the nearest to 4 in 4, g, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 + 137 + -38 + 0 + 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + o = -8, 0 = -2*s + 5*o + 2 + 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3 = 13. Suppose -w*v + 24 = -v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134130, 269846, 405562, 541278, 676994, 812710?\nAnswer: 948426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/(1\/(-44)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 61196 to the nearest 100.\nAnswer: 61200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12003301 (base 6) to base 14\nAnswer: 9a429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -16886, -67546, -151978, -270182, -422158, -607906, -827426?\n\"Answer: -16886*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -42674835 divided by 2032135?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*b = 4*b - 15, 3*k - 5*b + 9 = 0. Sort 0.3, 0, -1\/4, k in ascending order.\nAnswer: k, -1\/4, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 7. Let b = -8 + w. Suppose b*o = -12, 3*t = 8*t + 5*o - 140. What are the prime factors of t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0 + (39 - 4). Suppose -f = 3*x + 5, 0*f + 5*x = 5*f - m. Suppose 6 = 2*z - 2*y - f, 0 = -y - 3. Solve 0 = u - z - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/21 - (-451152)\/(-13104)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -776, -778, -780, -782, -784?\n\"Answer: -2*q - 774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 1 (b) 3\/13 (c) 23 (d) 1\/2 (e) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -7323?\nAnswer: 7322.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 546 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 6 - 50*w**3.\nAnswer: -50*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*k, 3*a - k = 4*k + 154. Suppose -4*u - 9 = j, -3*u - u - a = -3*j. Suppose j*p + 6*p = 187. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -0.4, -0.3, -77\/3 in increasing order.\nAnswer: -77\/3, -5, -1, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 3)*(3*k - 3*k + k**2) - 2*k**2 - k**2 + k**2 + (-1 + 2 - 2)*(9260 + 2105*k**2 - 9260) in the form j*k**2 + q*k + b and give j.\nAnswer: -2109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 2*z - 1. Let s be f(-5). Let u = s + 28. Suppose 0 = 2*p + 2*p - u. Solve p*n - 2 = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 0*r**5 + 0*r**2 + 6*r**6 - 65 - 2\/3*r**3 + 0*r**4 + 2*r. What is the third derivative of o(i) wrt i?\nAnswer: 2160*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 - 619*m + 47. Suppose 5*o - 4*k = k + 1150, 0 = 3*k - 6. What is the remainder when o is divided by t(0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -42, -54, -82, -132, -210?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 65*v**4 - v**3\/3 - 179*v + 12. What is the third derivative of b(d) wrt d?\nAnswer: 1560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.05 (b) 4\/5 (c) -2 (d) 9\/13 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 44*t**2 - 204*t + 205. Let j be p(1). Solve 41*w = j*w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*r - 363*r - 10*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.096 + 0.084. Let b = -155 + 152. Which is smaller: i or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 4*b**2 + 2*b - 5. Let y be r(4). Let p(z) = -1 + 1 + y*z**2 - z + 2*z**2 - 807*z**3 - 5. Let w be p(-5). Round w to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33, -50, -85, -144, -233, -358, -525, -740?\n\"Answer: -u**3 - 3*u**2 - u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 3.1, 0.4, 55, 3?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/18 and -77\/59718474.\nAnswer: 59718474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 20 - 1. Let f = x - 15. What is the derivative of b + 10*b - f*b - 2 wrt b?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5712 and -17.\nAnswer: 9.7104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002508813 to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.5 + 40. Which is the nearest to 1? (a) g (b) 0.2 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 66 = -3*r, k = r - 2*k - 22. Solve -r + 7 = -3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 6282.\nAnswer: 6282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n - 13. What are the prime factors of c(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222438 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917186717 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -15. Let s be (-69)\/(-21) - (-8)\/w. Let q(f) = f**2 - f - 3. Let u be -1*8 + 0\/8. Let g(x) = 3*x**2 - 2*x - 8. Calculate s*g(p) + u*q(p).\nAnswer: p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 - 5*l**4 + l + 3*l**3 + 1 + 2*l**4 - l**3 + l**2 as h*l + v + i*l**4 + d*l**2 + o*l**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:07 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*h - 13. Suppose -h*m = m - 30. What is the remainder when 29 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 1)\/(-1 - 2). Suppose -3*q + 3*a + 402 = d, 293 = -3*q + 5*q + 3*a. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + 6*(sqrt(720) + ((1 + sqrt(720) - sqrt(720) - sqrt(720)) + sqrt(720))**2) - -4*((sqrt(125) - sqrt(125)*2)**2 + 1))*1.\nAnswer: 72*sqrt(5) + 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + i. Let q(c) = -3*c - c**3 - 3*c**2 + 4 - 3*c**2 - c. Let a be q(-5). Let o(w) = -w**2 - 2*w - 1. What is a*o(z) - 2*k(z)?\nAnswer: -z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4238051.\nAnswer: 937, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 1, -8542 in ascending order.\nAnswer: -8542, -7, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3*-399\nAnswer: -1197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 76*y - 364. Calculate r(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2406\/55 - -490\/11. Determine f, given that -12\/5*f + 8\/5 + h*f**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - -300\nAnswer: 300.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -122, -171, -220?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87878713*t**3 - 148899425*t**2?\nAnswer: 527272278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23a - 22b5?\nAnswer: -2533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1176)\/sqrt(6) + sqrt(4) + (sqrt(4) + sqrt(36)\/sqrt(9))*-3)\/(sqrt(288) - sqrt(288)*-5 - sqrt(288) - sqrt(18)*-1).\nAnswer: 2*sqrt(2)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2141.155 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c\/(c*c**(-1\/2)))\/(c*c*c\/(c*(c**(-2)\/c)\/c)*c*c*c*c*c**(-3\/7)) assuming c is positive.\nAnswer: c**(-99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Find the second derivative of -b - q*b**2 + 5*b + 0*b**2 wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1114494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 39*v + 91. List the prime factors of j(13).\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 84290479 + 812209521. What is d rounded to the nearest one million?\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*o = 2912997, -5*l + 18*o = 16*o - 14564998. Round l to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-15)*(-1310)\/(-524).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41559?\nAnswer: 3, 7, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let n(l) = -l**3 + 4*l**2 + l - 1. Let i be n(4). Suppose h = p + j - 9, 3*j - i = 2*p - 31. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -130? (a) -63 (b) 0.1 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 871949 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i**3\/5 - 686819*i**2\/5 - 106840*i + 152628\/5 = 0. What is i?\nAnswer: -1, 2\/9, 76314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**3 + 10*n**2 - 3. Let f(x) = -4*x**3 + 11*x**2 + x - 4. Let o(m) = -4*f(m) + 5*p(m). Calculate o(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 409 = 5*w, 2*w + 1964 = 122*s - 117*s. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 4*v - 10 - 10, 4*v - 6 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 at least 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 200?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315888*v + 282243*v - 70401*v - 105228*v.\nAnswer: 422502*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 9*y**2 + 10*y - 25. Determine z(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**5\/60 + 5*t**4\/12 + 5*t**3\/6 - 5*t**2\/2 + 61*t. Let h(g) be the first derivative of w(g). Calculate h(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cb when two letters picked without replacement from {n: 2, b: 9, c: 2, s: 3, v: 1}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.554366 days to minutes.\nAnswer: 798.28704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(6897) - sqrt(57)) + sqrt(57)*3*-2)\/(-1*-1*-2*sqrt(12)\/sqrt(4)).\nAnswer: -13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*b = -3*g - 4, -5 = g + 4*b. Let p be (g\/(-3))\/((-4)\/12). Let t = -353\/7 + 51. What is the closest to p in -0.2, t, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 5*r - 6. Suppose 4*x + 4*k - 21 = k, 0 = -5*x - k + 18. Suppose -6*v = x*v + 45. Calculate m(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 97*l + 21*l**2 - 34*l - 30*l - 21*l + 7 - 2*l**3. Calculate the smallest common multiple of k(11) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -414 + 813. Suppose -z = -l - 2*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 221 = -111 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64327838 + -501.18.\nAnswer: 64327336.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 648*y - 639, -2*f + 3*y - 3 + 10 + 2 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1075 - 585. Let m be (-78)\/8*o\/(-21). Let p = m + -220. Which is smaller: 9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2 - 13 = 0. Let l be (-2)\/(-4) - (-684)\/8. Let q = 772\/9 - l. Sort o, q, -2 in descending order.\nAnswer: o, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 137\nAnswer: -27.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 g, and 1 h when three letters picked without replacement from hjgvb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 37*i**2 + 43*i - 132. Let u be z(-36). Let h = -23\/2 + 86\/7. Calculate the common denominator of 4\/8*u\/88 and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-1)\/(1 - -2)). Suppose -15*o - 17*o = -4*o - 8*o. Sort -2, 5, f, o.\nAnswer: -2, o, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1741, 5, -32 in decreasing order.\nAnswer: 1741, 5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + 29. Let t = p + -69. What is the closest to -0.2 in 2, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 4*q**3\/3 + 6*q**2 + 8*q + 6. Find a such that n(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -34*g - 3. Let x be r(-6). Let p(w) = 93*w + 375. Let u be p(-4). Calculate the greatest common divisor of x and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.051, 444, -0.8 in ascending order.\nAnswer: -0.8, 0.051, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*n - 1 - 21*n + 2*n**3 + n**2 - 20*n - 130*n**3 - 29*n as j + f*n + z*n**3 + a*n**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 57 = -9. Let w(i) = 13*i**2. Let u be w(-1). Let b = u + n. Calculate the greatest common factor of b and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2 - 1) + 4. Suppose -25*f = -t*f - 198. Let o(v) = v**3 - 8*v**2 - 9*v - 2. What is o(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5489675 divided by 5489675\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*r - 1170 + 250, 0 = -5*j + 4*r + 2327. What is the remainder when j is divided by 71?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) - 836\/14. Let r = i - -64. Solve -4*x + 3*f - 16 = -1, -11 = r*x + f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -2\/5, -2\/19 in ascending order.\nAnswer: -2\/5, -2\/19, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 11) in base 13?\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 3:19 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -5 - 1\/2*g**2 + 36*g. List the prime factors of n(0).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*1*sqrt(833) + -5 - ((sqrt(51)\/(-3*sqrt(3)))**2 + (sqrt(119)\/(sqrt(7) + 3*sqrt(7)))**2 + -3).\nAnswer: -21*sqrt(17) - 713\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13514488?\nAnswer: 2, 13, 199, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p - 40 = 0. Let c = p + 15. Let k = c + 15. What is the remainder when 19 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 59 = -4*v + 287, 0 = -5*k - 2*v + 546. Calculate the remainder when k is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4416*o**2 - 3002*o**2 - 837*o**2 - 6313*o**2.\nAnswer: -14568*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 h when four letters picked without replacement from hgggggh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 33051?\nAnswer: -33045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 28.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 divided by -3.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 54203 and -0.3.\nAnswer: 54202.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 168556559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4010 divided by 2?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2091 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (-9 + 3 - -3) - (-48 + 24 - -12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/((-325)\/(-1400)*-4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171041*u**4 - 2*u**2 - 1712147.\nAnswer: 684164*u**3 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12210*l. Let h(m) = -1184 + m - 1166 + 2350. What is h(a(y))?\nAnswer: -12210*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -9*g - 201. Calculate q(-64).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Suppose 3*t + f*q = 21, 2*t + 5*q - 9 = 5. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 11.09. Let u = -3.09 + z. Let w be (-85)\/153 - (-4)\/18. Which is the nearest to w? (a) 2\/5 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 395.03565 seconds?\nAnswer: 0.109732125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*k - 4*u = -209*k + 10, 2*k - 5*u = -10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*l = 18. Let u = -6 + l. What is the smallest common multiple of 11 and 2\/3*45\/u?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0 = 10. Let w(x) = x**2 - 3*x + 3. Let c be w(y). Solve 2 - c = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - m + 27. Suppose 5*g = -25, -2*g - 29 = x + g. Let h = x + 14. What is the units digit of s(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 58 - 1 = 0. Let q = s + 117. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + 0*o**2 - 10 - 2*o**2 + o**2 + 363*o**4 + 6*o - 2*o**3 - 365*o**4 to u*o**4 + c*o + s + b*o**2 + h*o**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.8 - -4.800086. What is s rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 871 by 67.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*m**4 - 216*m**3 + 6368?\nAnswer: -12*m**3 - 648*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 295 + -290. Let a be 244\/28 + (-4)\/(-14). Suppose -f*t + a = -8*t. Let o(l) = -2*l - 4. Determine o(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbiiwbwiiwbb. Give prob of picking 1 b, 1 w, and 1 i.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -38e5 (base 15) to base 10\nAnswer: -12140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697 is divided by 52.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) -67 (c) 240 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3495*c**2 - 4*c - 20. Is s(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134473613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 166 = -2*f - 4*o, 0 = -4*f - 4*o + 332. Calculate the remainder when f is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/270*3*28\/21.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*n**3 - 55 - 2*n**2 + n + 115*n**3 - 240*n**3 to the form f*n + y*n**3 + t + l*n**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 12:39 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, 42, 112, 230, 408?\n\"Answer: 2*g**3 + 6*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, c: 4, a: 7, v: 2, d: 1}. Give prob of picking 1 v and 2 a.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from puidiiwwuwyd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 9*m**2 + 2*m - 10. Let t be d(9). Find the first derivative of 0*v + t - 4*v + v - v wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/6 + -1)\/2. Let y = 4\/119 + 202\/1071. Let b = 0 + 0. Sort i, y, b in descending order.\nAnswer: i, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -249 + 245. Let m be -2 - (-54 - c)\/5. Let o(d) = 3*d**3 + 8*d**2 + 8*d + 8. Let u(j) = j**3 + 3*j**2 + 3*j + 3. Calculate m*u(v) - 3*o(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1445, 1456, 1467, 1478?\nAnswer: 1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence niei when four letters picked without replacement from {c: 1, x: 1, e: 2, n: 1, l: 1, i: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 41*s - 115. Is r(-35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 + 26852*k - 87456070\/7.\nAnswer: 2*(k - 463)*(k + 94445)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 35, 2, -18, 5.\nAnswer: -18, 0, 2, 3, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732970 is divided by 91?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125500 and 39658.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 7*m + 2. Let j be t(-8). Let l be (3\/2 + 54\/j)*-14. Let v = -92 + l. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77696.2 milliseconds in seconds?\nAnswer: 77.6962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-3 - -7)*44. Let m = f + 53. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*n + 948196*n**2 + 431*n**3 - 1896386*n**2 + 948191*n**2 to l + b*n**3 + k*n + h*n**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.19 + 59.19. Let y = 1 - 5. Which is the nearest to -1\/2? (a) y (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001563 rounded to 5 decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 19*b + 170. Let r be l(-9). Let i(z) be the second derivative of -z**5\/20 + z**4\/12 - z**2\/2 + z. Calculate i(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 + -99. Let p(k) = 6*k**3 + k**2 - 2*k + 1. Calculate the remainder when p(1) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10)*(-401625)\/12600 - 16?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i + 3. Let p(d) = -2*d**2 - 4*d - 3. Let m be p(-2). Let l(j) = -112*j + 49. Let g(o) = m*l(o) + 49*z(o). Let b(k) = -2*k. Give g(b(h)).\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 24 + o**3 + 25*o**2 + 3 + 2*o. Is k(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.177 + -168.177. Let i = b + 165. What is the fourth biggest value in 0, i, 3, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26463?\nAnswer: 3, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 4*s + 22*s**3 - 4*s**3.\nAnswer: 18*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -245 - -659\/3. What is the common denominator of g and (0 + 58)*(510\/(-72))\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50584 is divided by 50134?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 898500992 a multiple of 1192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 654*-482.\nAnswer: -315228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.9 - 24. Let u = v - -1. Let d be 11\/(-22) + (-13)\/(-18). What is the nearest to 0.2 in d, u, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 14441300?\nAnswer: 14441241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(1\/9))**(2\/105)\/((r\/(r*(r\/((r**1\/r)\/r))\/r))**(-1\/3))**(-14) assuming r is positive.\nAnswer: r**(4412\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**4\/4 - 57*d**3\/2 - 1207*d**2\/4 - 1014*d - 1116 = 0?\nAnswer: -4, -3, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145.1 + 133. Let y = 12.111 + v. Round y to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22200 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 + 47*k**2 - 71*k + 91. What is p(22)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -13. Suppose 0 = -l + 3*d - 12, 30*d - 26*d - 4 = 0. Let k = n - l. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2. Let t(j) = -3*j - 15. Let v be t(-5). Let g(m) be the third derivative of 0 + 2*m**2 + v*m**3 + 1\/12*m**4 + 0*m. Give g(f(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -266607\/244 equal to 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5323385078.\nAnswer: 2, 11, 19, 105251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -218 + 425. Calculate the greatest common divisor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 16 = 86. Suppose -4*k + 6*k - x = 0. Suppose -k*o + 4*o = 0. Which is the second smallest value? (a) o (b) -0.1 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 2\/1239, 4 in increasing order.\nAnswer: -4, -1, 2\/1239, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*i + 43*i - 1 + 14*i)*(3 - 3 - 3*i)*(0*i**3 + 2*i**3 + 9*i**3).\nAnswer: -1320*i**5 + 33*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -2, 0.016?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 112, 459, 1038, 1849, 2892, 4167, 5674?\n\"Answer: 116*n**2 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(-27)*z*z**(1\/6)*z**(-2\/7))\/(((z\/(z**(1\/4)*z*z*z))\/z**5)\/((z\/(z**1\/z))\/z)**(-3\/11)) assuming z is positive.\nAnswer: z**(2951\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -352, -691, -1024, -1351, -1672, -1987?\n\"Answer: 3*y**2 - 348*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 + 50\/20)*2*-35885.\nAnswer: 5, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 8. Let u be 4\/22 - 4\/22. Let c be h(u). Let d(v) = -v + 11. What is d(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2 - 3*c**2 + 5 + 2. Let v(i) = i**2 - 1. Let n(l) = l**2 - 1. Let a(s) = -n(s) + 2*v(s). Calculate -14*a(p) - 2*f(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(32809\/(-3483))\/109.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11577*v = 11412*v + 1919 + 1051 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -26*g - 175. Calculate f(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6924*m**3 + 9426*m**2.\nAnswer: -41544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4 + 1156*v**3 - 81740*v**2 - 430404*v - 524664 = 0. What is v?\nAnswer: -347, -3, -2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/95 or 34315.7?\nAnswer: -3\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -50.01 and 0.20902486.\nAnswer: -49.80097514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 34409310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -6984.\nAnswer: 1\/1164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2564 and -75\/8974.\nAnswer: 17948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853622322.\nAnswer: 2, 3, 7, 23, 883667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from {v: 2, q: 2, t: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6098486 and 278?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 7 - (-6 + (-5 - -10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/1*2\/(-6))\/(-7).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2917*l + 845. List the prime factors of b(4).\nAnswer: 3, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 7*y + 5. Let n be w(8). Which is the nearest to 0.1? (a) -2 (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 400 + -397. Suppose -48 = -4*d + k, -3*k = -t*d - k + 36. Solve 0 = 3*n + d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19451989 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*h**2 - 400\/13*h - 20000\/13.\nAnswer: -2*(h + 100)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 16955330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 7*b**2 - 2*b - 9. Let o be v(-7). Suppose -3*k + 29 = o. What is the remainder when ((-5)\/(5\/(-21)))\/1 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -19 - 21. Suppose -m = -q + 21, 5*m - 84 = -4*q - 0*m. What is the remainder when q is divided by (-2)\/u - 344\/(-32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 5*g + 5. Let m be h(-4). Suppose -3 + m = -2*u. Solve u + 2 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**7\/35 + 8*v**6\/75 + 3*v**5\/25 - v**3\/15 - 12*v. Factor b(s).\nAnswer: 2*s*(s + 1)**3*(3*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -484, -1756, -4232, -8314, -14404, -22904, -34216?\nAnswer: -48742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19372 and 812?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1327246*j - 10617987. Determine t(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -38) + ((-380)\/(-114))\/((-5)\/15).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(241 - 241 + 67*u).\nAnswer: 67*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*g*t*y**2 - 5*g*y**2 + 2054*g*y - 4*g - 860*t*y**2 + 3*t*y wrt t?\nAnswer: -5*g*y**2 - 860*y**2 + 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-24)\/(-54)*2\/4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8665, 34665, 77997, 138661, 216657, 311985, 424645?\nAnswer: 554637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-434)\/651)\/(2\/23)\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**(-2\/5)))**(-1\/17)*(a**(2\/7))**(-9\/5) assuming a is positive.\nAnswer: a**(-71\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-24\/5)*a**4*a assuming a is positive.\nAnswer: a**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1064 + -0.2064. Let r be (4\/((-32)\/(-6)))\/3. Which is the closest to i? (a) r (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -2212?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*c**3 + 389*c**3 + 10*c + 7*c - 17*c - 195*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 1:15 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10292628719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-167 - 4852 - 5491 - 1684)*(-4 + 0 + 3)*(8 - 8 - 5*s) in the form z*s + y and give z.\nAnswer: -60970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-365*g + 0*g**2 + 366*g + g**2)*(-584 - 2676 - 3002 + 798) in the form n + y*g + b*g**2 and give b.\nAnswer: -5464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (252*d - 573*d + 246*d)*(2 - 5 + 2) + 0*d - d - 2*d - 12 + 12 - 2*d as j*d + r and give j.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 5. Let t be r(-5). Let u be (3 - 2)\/(2\/t). Suppose 22000 = -0*m + u*m. Round m to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - r - 2. Suppose 4*m - 8 = 5*y - 0, 2*m - 3*y = 4. Let d be h(m). What is the greatest common factor of 132 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 4544*a**2 - 350860*a - 1330992.\nAnswer: -4*(a + 4)*(a + 79)*(a + 1053)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 1. Suppose -20 = -6*t + t. Let c(o) = -7*o - 6 + o + 0*o. Determine t*x(w) - c(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 147.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2\/5)*t))\/(t*t**(3\/7)))**(-1\/24)\/(((t*t*t\/((t*t**(-1\/4))\/t)*t*t*t)\/t*t)**0*t**0\/t**(1\/15)) assuming t is positive.\nAnswer: t**(23\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 56 + 167*n**2 + 24 - 178*n**2 + 91*n**3. Let a(q) = -30*q**3 + 4*q**2 - 27. Let u(y) = 11*a(y) + 4*w(y). Find the first derivative of u(x) wrt x.\nAnswer: 102*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = l - 4*i, 5*l = 4*i - 5. Let z(q) = -413*q**3 + q**2 - 1. Is z(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3 = -t, -5*v - 5 = t + 7. Let q be (-1)\/(-9) + 1\/(-3). Let u = -147.85 + 144.85. Which is the closest to v? (a) -2 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3682)\/(-1578)*30\/7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75 and 8.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**6\/120 + p**5\/20 + p**4\/3 + 11*p**3\/6 + 20*p**2. Let c be f(-3). Does 7 divide 38\/3*(16 + c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 869.7719g?\nAnswer: 869771.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 41*h - 4 = 42*h, -1 = -3*y - 2*h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 31945849.\nAnswer: 3\/31945849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*7\/42)\/(-2) + 56. What is the greatest common factor of i and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232 (base 5) to base 2.\nAnswer: 1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1448 and 49493235853?\nAnswer: 49493237301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 135*f**2 - 124*f**2 + 264*f**2 + 2*f**4 - 44 as v + m*f**4 + q*f + y*f**2 + o*f**3 and give v.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 8. Let r = -1 + 1. Which is the closest to r? (a) v (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 11. Let p(o) = 3*o**2. Calculate p(v(x)).\nAnswer: 3*x**4 - 66*x**2 + 363","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*w**2)*(94*w - 21*w + 113*w) to the form a*w**3 + g + t*w**2 + j*w and give a.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 0) + (-100)\/(-58). Let p = s + 151\/232. Which is the closest to -1? (a) p (b) -1\/9 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(66) + sqrt(66)*-1 + sqrt(66))*3*5)\/(6*(-2*sqrt(600) - (sqrt(90)\/sqrt(3))\/sqrt(5))).\nAnswer: -5*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 15*n = -16*n - 13, -3*n + 1 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 276507 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: Expand -2*i**3 - 2*i + 2*i - 11*i**3 + 3*i**3 - 29*i**3 + (4*i - 4*i + 2*i**2)*(0*i + 0*i + i).\nAnswer: -37*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/((-352)\/(-22))*7\/(-273)\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -9. What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-3)*-2)\/(6828\/(-5690)*(-10)\/(-9))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*l + 461 = 0, 474 - 17 = 5*i - 4*l. Let h = i + -53. Let d be (-21)\/(-2) - 60\/h. What is the highest common factor of d and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Suppose -8*c + 19*z + 78 = 18*z, 31 = c + 2*z. Solve f*p = -4 - c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q*q*q\/(((q*q**(2\/5))\/q)\/q)*q)\/q**(-11))**(-10\/7) assuming q is positive.\nAnswer: q**(-186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -122*u - 181. Let l be z(-4). Let w = -303 + l. Solve n = w*n + 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 639983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/7 - 8*i**2\/7.\nAnswer: 4*i**2*(i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 9*u - 5. Let l be z(7). Let v be 3\/(-3) - (-42 + 2). Let g be (-26)\/v - 58\/(-6). Is g at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 4. Let l(w) = -2*w**2 - 30*w - 86. Let p be l(-11). What is x(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2 = 2*o + 11, -5*o - 2*a - 51 = 0. Let p be -109 - (o + 7)*(-2)\/(-4). What is the common denominator of (9\/p)\/((-2)\/(-140)) and -59\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 320 - 503505?\nAnswer: -503145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 222*a + 99. Let u be n(0). Calculate the highest common divisor of u and 1221.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16902049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(sqrt(833) + -6*(sqrt(833) - sqrt(833)*1))**2*-6.\nAnswer: 19992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*i**2 - 4*i**2 + 51*i**2)*(0 - 1 - 1) + 0*i**2 + 5*i**2 - 6*i**2.\nAnswer: -159*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -39. What is the greatest common divisor of k and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + -32 + (-80 - -26)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 98.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/4*16\/12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/44 and 40\/99?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 287, 571, 847, 1115, 1375, 1627?\n\"Answer: -4*y**2 + 296*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2. Let h = -12777 - -19392. Let i(n) = -h + 4*n + 6615. Calculate i(d(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -209 - -218. Let l(f) = -f**3 + 9*f**2 + 3*f - 7. Determine l(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4 + 92*n**3 + 2292*n**2 + 8096*n + 7744 = 0. Calculate n.\nAnswer: -44, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/5)\/m)**(-34)*m\/m**(-6)*m**(-2\/5)*(m**(2\/9)*m\/m**(-2\/5))**(1\/2) assuming m is positive.\nAnswer: m**(-557\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3385961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*g, 5*x + 0*g - 39 = -3*g. Let b = 1 - -8. Calculate the greatest common divisor of x and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrr. Give prob of sequence rr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 394.45 - 391.6553. Let u = 0.8 - 3.6. Let n = d + u. What is n rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0, 1\/3, 5\/2, -0.3 in descending order.\nAnswer: 5\/2, 1\/3, 0, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 10*t - 12 = 0. Let p = 2 + t. Let c be -1*(-3 - -4)*p. Solve 1 + c = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgqgpggwg. What is prob of sequence qw?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 149 + 111 + -182 - 19?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1347*a + 250315. Give s(186).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34392 and 288?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9233237 plus -14.82798?\nAnswer: -9233251.82798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 14. Which is the fourth biggest value? (a) 14 (b) -1 (c) 0.4 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-4)\/(-1)))\/(54\/(-6))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58636 + -4527. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8372553 by -7.\nAnswer: -1196079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**5 + 202*h**4 + 10400*h**3 + 20000*h**2 = 0.\nAnswer: -100, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16106.000018966 - 16106. Round j to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14299*d**2 - 13790*d**2 + 799 - 799.\nAnswer: 509*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*x + 60. Let h(i) = -28*i - 46. Let p be h(-5). Let l = p - x. What are the prime factors of l?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 617.421577 to two decimal places.\nAnswer: 617.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011000010111001110 - 10100100?\nAnswer: 11011000010100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54 (base 13) to base 2.\nAnswer: 1000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/((-704)\/(-112)) - (-1)\/((-2)\/(-2)). Find f such that -p*f - 3\/2 + 21\/8*f**2 = 0.\nAnswer: -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*m - 144676 = -143596 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 314430101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n. Let y(a) = 2*a - 2. Let z(g) = 2*l(g) - y(g). Calculate z(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 - 30*h. Let t = -258 + 111002. Let m(r) = t - r**2 - 110744. Calculate m(k(j)).\nAnswer: -4*j**4 - 120*j**3 - 900*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*m + 1161*m - 382*m - 389*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 12 = w, w = -5*l + 3*w - 6. Let o be 3\/l*(-4)\/3. Factor 6*z - 6*z**3 + 3 - 4*z - o*z**2 + 4*z - 1.\nAnswer: -2*(z - 1)*(z + 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(882)*4 - sqrt(882) - sqrt(882) - sqrt(882))\/(((1*sqrt(63) - sqrt(63)) + sqrt(63))\/sqrt(7)))**2 + 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {p: 2, b: 1, r: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 103342423 (base 5) to base 2\nAnswer: 1101101110011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/8 (b) 1 (c) -18041339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 470146613, 470146618, 470146625, 470146634, 470146645?\n\"Answer: b**2 + 2*b + 470146610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-297))\/(-1)*(-55)\/15?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1599857 or -11199004\/7?\nAnswer: -11199004\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 409 + -408.9999037. Round p to six dps.\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002220220222211 (base 3) to base 7\nAnswer: 252111454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -244*w - 253*w + 218*w to the form y*w + s and give y.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -61844202\nAnswer: 61844202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 63*p**2. Let s(d) = -d - 11. Calculate s(b(l)).\nAnswer: -63*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1108)\/610 - 252\/(-140). Is s at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6229*d**2 + 13 - d - 36 + 5 + 18 to s + p*d**2 + c*d and give p.\nAnswer: -6229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*w + 99*w - 2*w + w - 6*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 75\/50*(-6)\/(-27)*-1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000048288 rounded to 7 dps?\nAnswer: -0.0000483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 21284*f - 21286.\nAnswer: 2*(f - 1)*(f + 10643)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**2\/15 - 105344*p\/15 - 1387169792\/15 = 0. What is p?\nAnswer: -26336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2040\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395203 is divided by 84?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + 15. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2399, -2395, -2391, -2387, -2383?\n\"Answer: 4*n - 2403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39702*r**4 + 13065*r wrt r?\nAnswer: -476424*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 12:39 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -667\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -27, -23, -25, -33, -47?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**5 + g**4 - g**2 + 1. Let f(n) = -2*n**6 - 6*n**5 - 8*n**4 + 4*n**2 - 7*n - 6. Let z(h) = -f(h) - 6*w(h). Find the third derivative of z(b) wrt b.\nAnswer: 240*b**3 + 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + (1*1*sqrt(1225))\/(sqrt(480)\/sqrt(6) + sqrt(15)\/sqrt(3)*2).\nAnswer: 7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((-10 - (-3 - -1)) + -3)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -c8?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57624 equal to 57624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*p + 2 + 37*p - 83*p - 25*p - 245*p**3 - 59*p wrt p?\nAnswer: -1470*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-1\/4)))**(13\/6)*i**(-2\/9)*i\/(i*i*i**(-6)*i) assuming i is positive.\nAnswer: i**(233\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 519, 1052, 1573, 2076, 2555?\nAnswer: 3004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66\/5 + -64\/5. Which is the nearest to 0? (a) -5 (b) k (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -754*s**2 + 191*s**2 + 186*s**2 + 189*s**2 + 191*s**2 + 220*s - 814*s**3 wrt s.\nAnswer: -4884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 5*g = 60 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 8:45 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 12*q**2 - 11\/25*q**5 + 0*q - 19\/35*q**7 + 153\/200*q**6 + 0 + 11\/80*q**8 + 0*q**3 + 1\/10*q**4. Let u(b) = 0. Calculate b.\nAnswer: 0, 2\/11, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/5 and 92\/375.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.6 - -104.6. Let w = 92.9 - g. What is w rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from magzaaag. What is prob of sequence azag?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3636*y**5 - 65*y**3 + 89379*y + 24 wrt y?\nAnswer: 72720*y**3 - 390*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-20)\/(-42)*-3. Sort 2\/7, 0.2, n in ascending order.\nAnswer: 0.2, 2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + 3\/(-3) + -2. Suppose 1 = f*o - 5*d - 159, 103 = 4*o + d. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 16 = -8. Calculate the smallest common multiple of (-18)\/(-4)*j\/(-4) and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 5 = -1, -h - 11 = 5*n for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -107*y**3 + 219*y**3 + 3*y + 3*y**4 - y**2 + y**4 + y - 2 - 113*y**3 to the form h + r*y**4 + q*y**3 + t*y**2 + p*y and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 1\/2, 20, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 10, o: 7, c: 1}. What is prob of sequence ro?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 n when three letters picked without replacement from {u: 1, p: 1, k: 1, x: 5, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 10:46 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 + d**2 + 2*d - 2. Calculate c(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 313 - 317. Sort 1, 2, q in increasing order.\nAnswer: q, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 97 and 1719?\nAnswer: 166743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -212*i**5\/5 - 66*i**3 + 83. What is the third derivative of h(g) wrt g?\nAnswer: -5088*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143\/3 - 47. Suppose 0 = -17*d + 11*d. Let u be (-32)\/(-10) + d + (-2)\/10. Sort u, o, -12 in increasing order.\nAnswer: -12, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3)*4*4\/(-88)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 3*i - 248. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 7*d**2 + 4*d - 30. Let f(m) = 6*m**2 + 10*m - 8*m - 3*m + 1 - 7*m**2. Let j(o) = 4*f(o) + u(o). What is the first derivative of j(h) wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 14205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-2))\/(9\/1584*-11))\/2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1458916, 2917835, 4376754, 5835673?\n\"Answer: 1458919*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by 9707.\nAnswer: -33\/9707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 22*v**5 - 26*v**4 - 14*v**3 + 18*v**2 = 0.\nAnswer: -9\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-24))\/(910\/(-273)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 19*l**2 - 6354*l + 63459. Calculate s(10).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (45\/990)\/(2\/(-12))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*q + 14 = 2*q, -2*q + 8 = -o. Let g be (1 - (-4)\/2) + -4. Put g, o, 1 in decreasing order.\nAnswer: o, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/47625 and -31\/31750.\nAnswer: 95250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265841.\nAnswer: 265841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -559*c**3 - 7*c**2. Let o(z) = 2786*z**3 + 36*z**2. Give 5*o(x) + 26*p(x).\nAnswer: -604*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 31 = -79. Suppose -a = -2*m + m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jirjjjjjhhrrrrhjhii. What is prob of picking 1 j, 2 h, and 1 r?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3569, 3568, 3567, 3566, 3565?\nAnswer: 3564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**1)\/(a*(a**(-12)\/a)\/a*a))\/(a*a**5*a)**23 assuming a is positive.\nAnswer: a**(-149)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 12*m + 81 - 108 - 32*m. What is the tens digit of k(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23969 + -8041. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62211*v + 16520*v - 1840*v - 69308*v.\nAnswer: -116839*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43552 - 2722?\nAnswer: -46174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2497\/5 + (-24)\/60)*5. Find the common denominator of (-4)\/(-5) - 4\/(1600\/r) and -7\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 8 (c) 0.47 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16488 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 39999851 to the nearest 10000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1584?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 171975163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -102, -251, -460, -729, -1058, -1447?\nAnswer: -1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in -1\/3, -1\/6, 31, 364?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110111 (base 3) in base 16?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14905 (base 10) in base 13?\nAnswer: -6a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vev when three letters picked without replacement from {x: 2, j: 5, v: 4, e: 1, g: 4}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*j + 3*j = 130, -2*k + 61 = 3*j. Calculate the remainder when 127 is divided by k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 531410871 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -413 - -628. Is a - -3 - (5 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29806 (base 15) to base 16.\nAnswer: -20937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.054 - 1.354. Let o = -1.3116 - l. Round o to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -493 - -494. Suppose 9*u = 4*u - 15, -3*u = 4*z + v. Solve 4*f = 0, 5 - 3 = -2*x + z*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1073 + -691. Suppose 0 = -18*q + 16*q + o. Let y = 439 - q. What are the prime factors of y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b6ac08 (base 14) to base 10.\nAnswer: -6176360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*1\/(10\/4). Suppose -q + 1 = -z - 0, -4*z = 4*q - l. Calculate the lowest common multiple of q and 22*(-1)\/(-1 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + -10 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*f + 3)*(2*f - 6*f + 5*f) + 3*f**2 - f**2 - 4*f**2 + (6 - 6 - 10*f)*(3*f - 2*f - 2*f).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 258*y**2 + 13455*y - 5019300.\nAnswer: -(y - 195)**2*(y + 132)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -u**4\/2 - 2*u**2 + 3*u - 1. Let t(y) = 2*y + 21. Let a be t(-12). Let k(d) = 3*d**3 + 5*d - 4. Give a*k(l) - 4*f(l).\nAnswer: -l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 10:34 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 298556442, 298556443, 298556444, 298556445, 298556446, 298556447?\n\"Answer: g + 298556441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**3\/3 - d. Let h(i) be the second derivative of 0*i**2 + 4*i + 0 - 1\/3*i**3. What is b(h(s))?\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 3\/10*x**5 + 0 + x**2 + 7\/6*x**4 + 97\/6*x**3 + 104*x. Find the second derivative of b(i) wrt i.\nAnswer: 36*i + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0*x + 1\/12*x**5 + 1\/120*x**6 - 1\/3*x**3 + 5\/24*x**4 + 0 - 3*x**2. Give v(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5360 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/119)\/(90\/(-765)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 365279 divided by 682.\nAnswer: 365279\/682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10076.\nAnswer: 2, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30442 + 40438. Is 84 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 439\/3 + -145. Which is the third smallest value? (a) 0.9 (b) 0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1663 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/5)*k*k*k*(k\/k**(2\/19))\/k assuming k is positive.\nAnswer: k**(237\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b3599 (base 13) to base 2\nAnswer: 1001110100011000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 - 4.04. Let s = -14 - -7. Let j = s - f. Which is the smallest value? (a) 0.5 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2*h + 198, -5*h - 75 = -3*m + m. Suppose 0*n + 3*n - 36 = 0. Let b = m - n. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 - -39. Suppose 650 = -2*g + 7*g - j, -3*g = -4*j - 390. Suppose 5*l - 3*l - g = 0. What is the highest common divisor of h and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (946\/301)\/((-17)\/(-238))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 34?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -337 + 535. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + ((-475)\/(-19) - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 9) to base 12\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 145456 and 12672.\nAnswer: 115201152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-520)*30\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 6*q**2 + q + 2. Let p be o(6). Let z = p + -8. Solve -4*w + z + 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 0*v - v + (0 - 1 - 1)*(-15*v - 12 + 12) - 9*v + 28*v + 43*v.\nAnswer: 90*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 25579 = 5*a, 2*a + 47*c = 50*c + 10243. Calculate the greatest common factor of 238 and a.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/95200 and -89\/1120.\nAnswer: 95200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*m + 0*m + 3*m)*(-10*m - m - 5*m).\nAnswer: -16*m**2 + 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -703 by -1052.\nAnswer: 703\/1052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 16 = -5*v + 82, 4*s = 3*v - 53. Suppose -24*t - 525 = -v*t. Is t greater than -106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.02, -4, -5, 670 in decreasing order.\nAnswer: 670, 4, -0.02, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1039, -4152, -9341, -16606, -25947, -37364, -50857?\nAnswer: -66426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -589340?\nAnswer: -1178680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/13 (b) 3 (c) 0 (d) -4\/19 (e) 1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11313 + 56756\/5. Which is smaller: 38 or a?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**4 - 4*f**4 - 3*f**4 - 10*f**2 + 15*f**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - 2*i**3 + 3*i**3 + (-2*i**3 + 21 - 21)*((2 - 2 - 1)*(1 - 4 + 5) + 7 - 5 + 2).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, t: 3, a: 12}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/24)\/(2\/(-6)). Suppose -225 = -5*q - 5*s, 0 = 5*s - b - 10. Suppose -4*f - 3*p + 1664 = 0, f = -p - q + 457. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*a + 7 - 2, 5*a + 3*s = 10. Suppose 2*r - 20 = -3*q, q + q + a*r - 28 = 0. Let p(f) = f**2 - 10 - f - q*f + 8. Calculate p(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 6*m**2 - 4*m - 7. Let n be (-10)\/(-75)*39 + 1\/(-5). Give l(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -565*o + 339. Does 13 divide y(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2475 + 2472. Which is the nearest to y? (a) -1\/4 (b) 0.13 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*g*i**3 - 2*g*i**2*z + 253*g*i*z**2 + 2*g*z**2 - 12*g*z + h*i**3*z - h*i*z**2 + 2*h - i**3*z**2 wrt z.\nAnswer: 506*g*i + 4*g - 2*h*i - 2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*q = -70*q + 3*t - 951, -2*q + 966 = -2*t. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-42) + (-3)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r - 3. Let b be k(3). Let y = 290 - 6672\/23. Is b less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 9. Let v be x(0). Let w = 1 + 9. Is v greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529 (base 13) in base 10?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65 and 11.\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161 + 161.1. Is -4\/9 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*k - 42, -7 + 1 = x + k. Which is the closest to 0? (a) 4 (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.16 and 2187.\nAnswer: 2186.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 617?\nAnswer: 61.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 + 23*t**4 - 36*t**4 + 1 + 16*t**4 - t - 26*t**2 to x*t**3 + y + d*t**2 + j*t + a*t**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -1922*s**3\/7 - 390562428*s**2\/7 - 100790208*s\/7 - 6502592\/7 = 0.\nAnswer: -203206, -4\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.1 - -13. Let f = -33 + 32.7. Sort -4, f, d in decreasing order.\nAnswer: d, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3))**(-1\/3)\/(b**33\/b**(-28)) assuming b is positive.\nAnswer: b**(-551\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7991201204 to five decimal places.\nAnswer: -0.79912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2055, -4, -0.2, -65 in decreasing order.\nAnswer: 2055, -0.2, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 483 and 1444791.\nAnswer: 10113537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t**2 - 125*t - 13. What is z(21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4076*d + 9087*d + 791*d.\nAnswer: 13954*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*z - 829*z - 810*z = -634*z - 80606 for z.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*c + 5*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 5*x**2 + 3. Let c(w) = -w**3 - 4*w**2 - 3. Let h(m) = -5*c(m) - 4*p(m). What is the derivative of h(a) wrt a?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15*2\/(-180))\/(4\/(-15))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 75\/35 - (-4)\/(-28). Let l be (-6)\/(1 - (v + 1)). Let f = 5 - l. Solve z = -f*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 48017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-6 - 81) + (-111 - -122)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -3. Let w = l + -3. Solve w*g + 20 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/(-12)*(-524)\/(-393).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31 - 432*h - 15*h**2 - h**3 + 432*h + 27 wrt h?\nAnswer: -3*h**2 - 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.5518+0.2\nAnswer: 3.7518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.016 (b) 161 (c) -3 (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23944 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -2 (c) 189\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = 0, 8*j = u + 4*j + 884. Is 2 + ((-265)\/(-10))\/((-4)\/u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2000110 (base 3) in base 8?\nAnswer: -2676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*(sqrt(2) + 0) - 1*sqrt(242)))**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(2\/3)*x)\/x*x*x*x)**(-2\/7))**(-5\/9))**23 assuming x is positive.\nAnswer: x**(2530\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-804)\/(-3752))\/(((-27)\/60)\/(-3)).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = 2*n. Let x be (-8)\/12*n + 2. Solve 0*u - x = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - r - 61787*r**3 + 63973*r**3 + 0*r.\nAnswer: 2186*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4353*p = 4358*p + 20, 3*p + 69 = 8*r + 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 146 = -r, r + 0*r + 96 = 2*l. Calculate the greatest common factor of 25 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5129 - 449. What are the prime factors of w?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 62, 130, 210, 308, 430, 582?\n\"Answer: m**3 + 61*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-12))\/((-1)\/50). Let y be (-4)\/10 - 85\/w. Let l be 27\/15*(18 + -26 + 13). Solve y*v + z + l = -0*v, -v - 5*z = 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(88)\/sqrt(8) + 4)**2 - 6*sqrt(11)*-3*-5.\nAnswer: -72*sqrt(11) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (6\/2)\/(-21). Let l be 12\/(-15)*10\/(-28). Factor z*v - l*v**2 - 4\/7.\nAnswer: -2*(v - 2)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4708 and 453680.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 910*u**2 + 255 + 3701*u**2 + 2034 - 1300*u**2 wrt u?\nAnswer: 6622*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 270 = 29*u + 1171 - 65 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 8. Suppose 0 = k*a - 18 - 3. What is the least common multiple of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*q + 595 + 713, -3*h + 2156 = 5*q. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.14217 weeks?\nAnswer: 85984416000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*s = -s + 24, -15 = 5*s. Calculate the remainder when u is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 275036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6532 + -4?\nAnswer: 6528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108015.\nAnswer: 3, 5, 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 0.278, 5, 13\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + -2)*(-1)\/15. Let b = -0.169 + -0.031. What is the closest to q in -9, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 297 + -297.28. Sort k, 2, -0.5 in ascending order.\nAnswer: -0.5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6448 - 11942. Calculate the remainder when (-3)\/(-8) - c\/240 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 5*c**4 + 1285*c**3 + 3825*c**2 + 3815*c + 1270 = 0?\nAnswer: -254, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368355 to the power of 1\/2, to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 AM and 2:17 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089631 is divided by 819.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180568 or 180566?\nAnswer: 180566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 9 = -2*a, a - 2*a + d = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15572 is divided by 3889.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 18*r**2 + 84*r + 28. Let z be l(-8). What is the nearest to 1\/4 in -6, 3\/7, -0.1, z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5 = 3*c - 0, -2*c + 2*r + 4 = 0. Let d = -25 + c. Let y = d - -30. Let k(j) = j. Determine k(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2327 - 25595\/11. Which is the second smallest value? (a) m (b) 0.63 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 3\/8 (c) -11\/3 (d) 12 (e) 0.01 (f) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13481 = -w + 150*j - 148*j, 0 = 2*w + 4*j - 26938. Is 77 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 1983.\nAnswer: 9\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50 - -55. Suppose p = -2*p - f + 12, -8 = -2*p - o*f. What is the second derivative of 18*r + p*r - 40*r**4 + 16*r**4 wrt r?\nAnswer: -288*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i - 1 = 0. Let g be 6\/((-6)\/(-9)*3). Suppose 5 + 1 = -g*k. Sort k, i, 1 in decreasing order.\nAnswer: 1, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-72)\/33 - (-10)\/55).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*c**4\/3 + 374488*c**3\/3 - 936295*c**2\/6 + 146300*c\/3.\nAnswer: c*(c + 11704)*(8*c - 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 h when three letters picked without replacement from nhhnhhn.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*l**2 - 236\/5*l + 0.\nAnswer: -4*l*(l + 59)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18818 divided by 238\nAnswer: -9409\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**4 + 2*j**4 - 5*j**4)*(4*j + 0*j - 3*j) + 358 + 2*j**5 + 0*j**5 - 385 + 2*j**4.\nAnswer: 3*j**5 + 2*j**4 - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqqyibqqnpbnbpbqbqq. Give prob of picking 1 y, 2 b, and 1 i.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1014 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**12*l\/l**8)\/(l**(-2))**(2\/21))**(9\/5) assuming l is positive.\nAnswer: l**(327\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -567 - 16413667673\nAnswer: -16413668240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(136)\/sqrt(8) + -2 + -2).\nAnswer: -3*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1643155661199+0.27\nAnswer: -1643155661198.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 553275.8 years?\nAnswer: 553.2758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37056146?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**3 + g**2 + 24*g + 1. Let i be t(0). Which is the closest to -2? (a) i (b) -3\/2 (c) -0.4 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/12, 2\/65, -161, -6\/31, 0 in ascending order.\nAnswer: -161, -6\/31, -1\/12, 0, 2\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.8 - 4.8. Which is the second smallest value? (a) 11 (b) 0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4026 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u. Let f(v) = 0*v + 1 - v - 1. Let n(c) = -3*f(c) - m(c). Let q(y) be the third derivative of -y**4\/12 + y**2. Calculate n(q(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46.1 - -46. Let o(f) = f - 2. Let p be o(8). Let l(x) = x**2 - 5*x - 1. Let i be l(p). Which is the nearest to u? (a) 1 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence va when two letters picked without replacement from {v: 11, a: 2}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-3))\/((-4)\/18). Let a be 3*1*x\/18. Is (a\/6)\/(7\/(-483)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 + n - n + (4*n - 3*n + 2*n)*(3*n + n**2 - 3*n) - 10274*n**3 + 9725*n**3 + 6669*n**3.\nAnswer: 6125*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 72*t**3 + 4*t**2 + 4*t + 3. Let v(u) = -71*u**3 - 5*u**2 - 5*u - 4. Let n(r) = -5*a(r) - 4*v(r). Is n(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*h + 4*z, 3*h + 5*z = z + 10. Find the second derivative of 3*a + h*a**3 + 0*a**3 + 0*a**3 wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 0.2 (c) 815\/2 (d) -1 (e) -1\/13 (f) 364\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 13*s + 3. Calculate the lowest common multiple of p(-12) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357 is divided by (6 - (3 - 4 - -4)) + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t - 55828 - 35016 = 0. What are the prime factors of t?\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3122642 - 1?\nAnswer: -3122643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-4)\/(-2)*7\/14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-14) - (-176)\/(-924)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f + 12782 = 39*f. Let m = f - 227. List the prime factors of m.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92328.\nAnswer: 2, 3, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -7*j**2 + 6*j + 6. Let f(m) be the second derivative of -5*m**4\/3 + 17*m**3\/6 + 17*m**2\/2 - 18*m. What is 6*f(s) - 17*v(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**3 - v - 3*v + 4*v.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 8 + (-4 - -7) + (-19 - -15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvbvvvbaabbubbvabub. Give prob of sequence vvbb.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 7:17 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 945251 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 247719287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.52, 6, -0.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 827535383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38*(-45)\/1710)\/(2\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8387 (base 11) in base 15?\nAnswer: -3456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(6\/13)*l)\/((l*l\/(l*l**(1\/3)\/l*l*l))\/l))\/(l**(1\/16)\/(l*(l*l**21)\/l)) assuming l is positive.\nAnswer: l**(16057\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 bigger than 863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704441 is divided by 2444.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 765 and 39933.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqh when three letters picked without replacement from mmmmqqmmmqqmmmhmqmqq.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13626703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 9 = -45. Let l(q) = 11*q - 3. Let k(u) = 56*u - 14. What is g*k(h) - 14*l(h)?\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18884 divided by -4.\nAnswer: -4721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 154?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 + 6*w**4 - w**3 - w**3 + 0*w**3 - w**2 + w to the form u*w**3 + c*w**4 + g*w + t + i*w**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-three fifths of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.53 + -19.53. Are i and 525 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u. Suppose -5*n + 6 = k - 10, -k + n + 4 = u. Let r be (-2 - 0)\/((-2)\/k). Solve s + r = 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 19 = -h, 2*s - 2*h - 123 + 125 = 0. Solve 2*c + 4*r = 12, -1 + s = r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 90*d - 74. Let h be m(3). Suppose -50*w + 154 = -h. Solve x - i - 5 = 0, -w = -5*x - 0*x - i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2247214*m + 6 = -2247216*m, 15*m - 60 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3206358?\nAnswer: 2, 3, 59377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 = -5*w - 5*p, -p = 4*w - 4*p - 296. Calculate the greatest common factor of w and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5.1, 330 in increasing order.\nAnswer: -5.1, 0.2, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52\/11 + -2569\/22. Let g = 7749493\/54510 - -2\/9085. Let h = g + u. Calculate the common denominator of h and 35\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32894760*c*h*t**2 + 514*c - 5114*h + 2 wrt t?\nAnswer: -65789520*c*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 23*b + 40. Let g(a) = a + 1. Let j(t) = -4*g(t) + y(t). Is j(-22) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14162880*c**2 - 7081403*c**2 - 7081442*c**2.\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -11 - 4. Let o(r) = r**2 - 3*r - 3. Let z be o(4). Sort -1, z, j in decreasing order.\nAnswer: z, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13927 (base 10) to base 6.\nAnswer: -144251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w + 14*w - 9*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.92 + 0.08. Let v = f - 7. Let k = 0 - v. Put 0.1, k, -2\/5 in increasing order.\nAnswer: k, -2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 943341.9*0.5\nAnswer: 471670.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**2 - 1310*b + 9268 = 0.\nAnswer: -662, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156066812.\nAnswer: 2, 11, 751, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-25.5.\nAnswer: 535.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0 (c) 34529\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 790*s**2*t**3 - 3*s*t**3 - 4*s*t**2 - 8*t**3 wrt s.\nAnswer: 1580*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 32303411 (base 6) in base 2?\nAnswer: 11101001101100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3008, -4519, -6032, -7547, -9064?\n\"Answer: -f**2 - 1508*f - 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/25)\/((-6)\/(-15)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 5, -16, 1, 3 in increasing order.\nAnswer: -18, -16, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 16*i, 5*q = 6105*i - 6103*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 16*q + 2*j = -4, -20 = 4*q - j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w + x + x + 8, 5*w + 10 = -5*x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -291\/2662 greater than 0.0168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -22, -2, -4, -9, 16.\nAnswer: -22, -15, -9, -4, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-1*-3*-1)**2 - (sqrt(1584) + sqrt(1584)*-1*6 - sqrt(1584) - sqrt(1584) - ((sqrt(1584) + sqrt(1584)*2 - sqrt(1584)) + 2)**2).\nAnswer: 180*sqrt(11) + 20596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 2*n**2 + 1230*n + 4886. Calculate t(-4).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-27))\/((-32)\/(-159744)*-32).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -765 + 109. Let m be 2614 + (-5)\/(5\/(-2)). Let h = m + r. Round h to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/945 and 44\/135.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998889 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15*2\/(-35)*7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 678, 2336, 5574, 10920, 18902?\nAnswer: 30048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*u**2)*(-6 + 5 - 4 - u)*(2*u - 9*u - 6*u).\nAnswer: 26*u**4 + 130*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2\/3 - 677*j\/3 + 680 = 0.\nAnswer: -680, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -117. Is (-1*(-6349)\/n)\/(2\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-4*y + 5*y - 3*y)*(0 - 4 + 6)*((1 - 2 - 2)*(5*y - 2*y - y) + 100*y + 706*y + 55*y).\nAnswer: -6840*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 473\/6 - 79. Let o = -219 - -124. Let y = 91 + o. What is the closest to -2 in y, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31818\/(-185605))\/((2 - 1 - 2) + 110\/125)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -49*h**4\/4 + 19*h + 22. Differentiate z(w) with respect to w.\nAnswer: -147*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1093835148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4*z + 675*z**2 + 2*z**3 - 4*z**3 + 0*z**3 - 659*z**2 as t*z + u*z**3 + m*z**2 + y and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 10:51 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -33. Let m be (-11)\/(-4) - (-12)\/w. Suppose m*j = -j + 447. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51595*j*s + 72306*j with respect to s.\nAnswer: -51595*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -407 + 1042. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 9:08 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 69*l**2 - 48*l + 686. What are the prime factors of z(17)?\nAnswer: 11, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gngdnqggdgnggwvg. Give prob of sequence ddv.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 425\/9 + -47. Which is greater: j or -3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 684204463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - l - 262 = 0, 0 = -13*d + 8*d - 4*l + 317. Calculate the remainder when d is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73748.44 - 6.\nAnswer: 73742.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (346 + -1)\/((35 - 8) + -24).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1975555447 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226917775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 11 + g - 2)*(0 - 2*g**2 + 0).\nAnswer: -2*g**3 - 30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.46? (a) 58 (b) 3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10994 smaller than 10994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*b + 14 = -101*b. Suppose -l + 4 - b = 2*r, 0 = 5*l - 4*r - 41. Let n be 16 + -17 - (-1 - 3). Sort n, l, 0, -3 in ascending order.\nAnswer: -3, 0, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7867 and 2.\nAnswer: 15734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(209) + sqrt(209) - sqrt(209))*3)\/(sqrt(66)\/sqrt(216))*-5.\nAnswer: -90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w = 77*w - 4601. What is the remainder when 779 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29950787 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 53275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -10. Let y be (3 - (-14)\/(-4))*-12. Let f = 3 + y. What is the smallest common multiple of n and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzzlcqfcl. Give prob of sequence zzl.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2088*i - 2218. What is the thousands digit of r(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304415 - -166.\nAnswer: -304249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -27. Let n = a + 20. Let r = n + -7. What is the closest to r in -0.1, -0.4, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*c - 42 = 0, -3*c + 31 = 3*i + 13. Let s(r) = 4*r - 4. Calculate the remainder when s(8) is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1388\/7 - 198. Factor -2\/7*w**2 + 2\/7*w**3 - 2\/7*w + x.\nAnswer: 2*(w - 1)**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*q - 4*k, -2*q + 13*k = 15*k + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -80 - -144. Suppose 46*f - s = 45*f. What is the smallest common multiple of f and 28?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4*b + 8 = 0, -2*c + 5 = -4*b + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vtzl when four letters picked without replacement from {z: 1, v: 3, t: 1, q: 2, l: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3686, -7418, -11228, -15122, -19106, -23186, -27368, -31658?\nAnswer: -36062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 26*g**2 - 107*g + 11. What is t(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Calculate the remainder when (5 - (-5282)\/665) + (-2)\/(-35) is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10242004)\/(-18) - ((-75)\/27 - -3). What is q rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68.6711699 + 0.1057301. Let n = -0.3369 + k. Let h = n + -68. What is h rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3855)\/(-15420)*(-5)\/(5\/388).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3131600 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 168? (a) 0.1 (b) -86 (c) 1\/2 (d) 0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 93761 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdw when three letters picked without replacement from nzwnzwnnwd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 3, -86 in increasing order.\nAnswer: -86, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27881 + 1254649\/45. Let u(m) be the third derivative of 12*m**2 + 0*m - x*m**6 - 1 + 1\/45*m**7 + 11\/90*m**5 + 0*m**3 - 1\/18*m**4. Factor u(s).\nAnswer: 2*s*(s - 1)**2*(7*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 5*u - 11. Let m be (-5 - 2) + (1 - 2). Is 5 a factor of i(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 717358579, 717358581, 717358583, 717358585, 717358587?\n\"Answer: 2*m + 717358577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 25906.215566 and -5.813.\nAnswer: 25900.402566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 684\/(-45)) + (-210)\/14?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**4\/4 - v**3 - 3*v**2 + 6*v + 1. Let a be q(4). Let h = 4 + a. Solve 2*b + h = -0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332542442 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/5)\/p)\/p)**(26\/7) assuming p is positive.\nAnswer: p**(-286\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*a = 3*i - 9460, 7092 = 3*i - 3*a. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {r: 9, o: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 387, -3\/5, -1, -0.997?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314 = 23*v + 475 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 + -0.05. Which is the nearest to 1? (a) 1\/5 (b) z (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552*v**2 + 548*v**2 - 1099*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19880, 39556, 59232?\n\"Answer: 19676*f + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104.994 + -105. Is l at least as big as 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(50\/(-28))*5\/(-7)*-7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3829, -1450, 2 in ascending order.\nAnswer: -1450, 2, 3829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/59652 - 124702507\/59652. Is -2090 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - l**2. Let f be y(2). Suppose -4*o + 4*p = -40, -2*o = 3*o - f*p - 52. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74716451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 118. Let i(u) = -2*u**2 + 2*u + 2. Let j be i(-4). Let y = j - v. Solve -5*t + 3*x + 20 = -x, -3*x = -4*t + y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:35 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a factor of 4772704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 324047531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 96 = -r. Let x = r - -50. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + 3*r - r)*(-r - 6*r**2 + 0*r + 13*r**2)*(-4 + 2 - 4) to the form t*r + c*r**2 + a*r**3 + d and give a.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 5) to base 11.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 13\/3 (c) 1\/7 (d) 30\/511\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a**2 + 4*a**2 - 3*a**2)*((-1 + 3 - 3)*(2 - 1 - 2) - 2 - 1 + 4)*(2 + 2 - 10)*(69 - 69 - 114*a) to v*a + y + t*a**3 + z*a**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -1\/3, 128, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(625)*-1 - sqrt(25) - sqrt(25))\/((sqrt(20) + (sqrt(80) + sqrt(20) - sqrt(20)))\/sqrt(4)) + -2 + 0 + 5.\nAnswer: -7*sqrt(5)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176224 by 17.\nAnswer: -176224\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**3 - 1930*x**2 + 164255*x - 2732730 = 0. What is x?\nAnswer: 22, 91, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 71767075 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 19*s = 20*s + 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9593, -19189, -28785, -38381, -47977?\nAnswer: -57573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -257 (base 9) in base 3?\nAnswer: -21221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -28, -17, 3, 807, 2, -3.\nAnswer: -28, -17, -3, 0, 2, 3, 807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 269\/6 (b) -1 (c) -9\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36683\/118248 + -23\/9096. Suppose v + 2\/13*k**2 - 6\/13*k = 0. Calculate k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6994*j = -2*l - 6999*j + 36, 3515 = l + 393*j + 373 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*i - 10 + 35, -3*i + 15 = -4*o. Let z be ((-56)\/(-6))\/(1\/3). Solve 5*f + z = 3*t, -3*f + 3*t = -o*f + 18 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 87406832*u - 477497142517264.\nAnswer: -4*(u + 10925854)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.22 - 0.09. Let x = -4.9 + 5.33. Let d = a - x. What is the biggest value in 1, d, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 8611.39?\nAnswer: -34445.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*i = -2*u, 3 = 4*u - i. Let l(g) = 6*g**3 - 5*g**3 + 2*g + 2*g**3 - 2*g**2 - 1 + 7*g**3. What are the prime factors of l(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b5 (base 13) to base 14.\nAnswer: -26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4*r = 206, 44*x - 41*x = -58*r + 89*r - 31 for x.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/12125 + 109121\/24250. Let o(c) be the first derivative of -7\/3*c**3 + 0*c + p*c**4 - 26 + 0*c**2. Find the third derivative of o(v) wrt v.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 128\/96*2\/28. Let u = -10.2 - 1.8. Let o = 12.5 + u. What is the biggest value in n, o, -5\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112011 (base 3) to base 14\nAnswer: 1d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 0 + 55)\/(-12 - -22 - 7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533131333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 3 - (1 + 2). Solve i = -2*b - 8, -4*b = -2*v + 26 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3386084, 3386110, 3386152, 3386210, 3386284?\nAnswer: 3386374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -447099 - -34476\nAnswer: -412623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2329 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w + 20730 = -0*w. Round w to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-78)\/15*(5 + (-13100)\/8). Suppose 4*q - p = -5*u, -5*q = u - 4*q - 1697. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/7 + 13*f**3\/7 + 82*f**2\/7 + 20*f + 72\/7 = 0 for f.\nAnswer: -2, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 2202\nAnswer: -2202.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12221111021022 (base 3) in base 16?\nAnswer: -3033aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 5*t + 8, -4*c = -4*t - 384. Let k be (1 - 70)*2\/(-6). What is the greatest common divisor of c and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -319445757.9 + 319443904.900943. Let w = f + 1853. Round w to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5.559 (b) -3 (c) -2\/3 (d) 3 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 - -0.8. Let m = q + -3. Let i = 1114\/143 - 84\/11. Which is the closest to m? (a) i (b) -1\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, p: 1, t: 3}. What is prob of sequence ptt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 9*a + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*g)*(4 + 1 - 3) + (-1 + 2 - 2)*(-2 - 3 + 6)*(g + 3*g - 5*g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21615 is divided by 1659.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 1619*a**2 + 5*a + 5. Let x be (-2)\/(-12) + 112\/(-96). Is o(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 times -13?\nAnswer: -3575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 1\/2*t**2 + 2*t - 1\/3*t**3 - 23. Calculate c(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3504807, -14019245, -31543311, -56077005, -87620327?\nAnswer: -126173277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, q: 1, w: 1}. What is prob of sequence nw?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8236\/225 + 14\/225. Let p = -37 + q. Which is the second smallest value? (a) 5 (b) -2\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2.2626?\nAnswer: -2.2626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2. Let n(m) = -27*m**2. Give d(n(w)).\nAnswer: 729*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2222289, 2222287, 2222285, 2222283, 2222281, 2222279?\nAnswer: 2222277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12323 + 1304?\nAnswer: -11015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/((sqrt(70)*2)\/sqrt(7)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5878\/19 or 308?\nAnswer: 308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11276?\nAnswer: 2, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 12*n**2. Let x be 1 + (-97 - (2\/(-2) - -4)). Let b = -91 - x. Let c(g) = 20*g - b*g + g - 8*g. Determine k(c(o)).\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/(-550)*-15*10\/766. Is -1 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794896 is divided by 199407.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 114830*d + 35830?\nAnswer: 114830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 10:36 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0. Let b(v) = 96*v - 11. Let o be b(2). Let s = 1807\/10 - o. Which is greater: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(325)*2)**2 + 4.\nAnswer: -7796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*a**3*m - 26*a**3 - 64*a**2*m + 50*a**2 + 10*a*m - 140224*m wrt a?\nAnswer: -138*a*m - 156*a - 128*m + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 19 = -0*a + g, -5*g = 2*a - 73. Let p = a + -21. Suppose z + 16 = p*z. What is the remainder when 30 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r - 11*r + 56*r)*(5 - 6 + 0) - 78 + 78 + 4*r.\nAnswer: -50*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -74 + 37 + 41 - 7*u + u + 9*u. Let j(o) = -25*o**2. Give h(j(l)).\nAnswer: -75*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((-33 - -52) + (13 - (-7 + 8)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (31 - 19) - -11.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73840 and 22751027.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n**3 - 11246*n**2 - 2104340*n - 525382 = 0. Calculate n.\nAnswer: -167, -1\/4, 1573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 5*s = -130 + 32, 4*b + 3*s = 82. What is the greatest common divisor of b and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43577639 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 182640813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 3:36 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18324*d**3 + 2647*d**2 wrt d.\nAnswer: -109944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/9 - 2*i**3\/3 - 4*i**2\/9 = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 107. Calculate the highest common divisor of 28 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -6. Let l be ((-1)\/2)\/(w\/12). Suppose -p + l = p. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1.0006. Round r to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/2 - 28\/(-8). Suppose -z = -j + 6. What are the prime factors of (-32)\/20*10\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.88545025 to two decimal places.\nAnswer: 13.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96654074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + 32 - (15 + -2 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 16. Let g be w(5). Let j(x) = -98*x + 24. Let t(h) = 8820*h - 2156. Let v(q) = g*t(q) - 539*j(q). Let b(k) = 2*k. Determine v(b(a)).\nAnswer: -196*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 - (-17)\/4. Let w be c\/3*6\/4. Suppose 0 = -0*n + w*n + 16. Are n and -8 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34629*c**5 + 8*c**3 - 105501*c**2 + 2*c + 3.\nAnswer: 2077740*c**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = d + i, -4*i - i - 284 = 4*d. Let v = -54 - d. Suppose 3*w - 6*j + 3*j = 18, 2*w = -5*j + 47. Calculate the greatest common divisor of w and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 217598.55?\nAnswer: -217603.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:01 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -532 >= 5054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136 + (-94 - -117 - 43).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 81 + 109 = 0 for m.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)\/r*r**1\/r)**(-2\/29) assuming r is positive.\nAnswer: r**(14\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 5. Let o = -8 + 3. Let b be z(o). Suppose -4*q - 4*t + 20 = b, -2*q + 5*t - 12 = -1. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344259323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 3, -2, 3\/14?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 97 + -48?\nAnswer: 4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, 0, -2, 32 in ascending order.\nAnswer: -5, -2, 0, 13, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12232313010 (base 4) to base 7\nAnswer: 21000126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -684, -2722, -6114, -10854, -16936, -24354, -33102?\nAnswer: -43174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3\/9 - 4636*g**2\/9 - 909280*g\/9 - 200000 = 0. What is g?\nAnswer: -180, -2, 2500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 8 + 0 + 14 - 33*o**3 - 24 as v + t*o + y*o**2 + m*o**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 5 = -a + 3*h, 0 = 5*a - 4*h - 14. Suppose 0 = -a*q + 39 - 29. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-47))\/(g**(-47)*g) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/476, -2, 8, 1, 0, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1336, -5488, -12408, -22096, -34552?\n\"Answer: -1384*z**2 + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -95 - 31*u - 38*u + 97 + (1 + 1 - 4)*(-u + 0*u + 0*u).\nAnswer: -67*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*x - 256*x = 100 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*w - 4 = 0, 0 = -3*i + 7*w - 3*w - 4. Let f be (i - 1)*(-1)\/(-1). Let j(k) = -4*k**3 - k**2 + 1. Calculate j(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(1088) - (sqrt(1088) + (2 + sqrt(1088) + sqrt(1088))*2) - sqrt(1088)) + -1*-2*sqrt(1088) + sqrt(1088)*2*6 + 0))**2.\nAnswer: -9216*sqrt(17) + 1410304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -313a299 + 3?\nAnswer: -313a296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1263 from -0.5.\nAnswer: -1263.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from maammammmmmmmmmammm. Give prob of picking 4 m.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-36)\/(-15)*(4 + -3 - -54) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 4:26 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -x + 2*x + 110*x**4 - 118*x**4 + (x - 2*x + 3*x)*(-2*x**3 - x**3 + x**3) as w*x**3 + q*x + a + t*x**2 + n*x**4 and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/8, 106, 32\/75, 1\/3, -0.3 in decreasing order.\nAnswer: 106, 32\/75, 1\/3, 0, -1\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 = -2*r. Let i be (-2 - -55) + 0\/(-2). Suppose -r*k + i = -1. Solve 0 = -2*u - l - 3, -4*u - k = -4*l + 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 6.5 (b) -84 (c) 0.4 (d) 2\/13 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -1.3. Let h = -355202\/3 + 118401. What is the third smallest value in 3, h, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-153)*(79 + -85)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 11:59 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 1)*1\/(-10). Let n = h + 1. Let -6\/5*s + n*s**2 + 3\/5 = 0. What is s?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 110*y + 5. Let h(t) = 219*t + 11. Determine -6*h(o) + 13*u(o).\nAnswer: 116*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8.3? (a) 1\/5 (b) 0.225 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -69*m**4\/8 + 2829*m**2. Let i(h) = 2*h. Determine i(b(q)).\nAnswer: -414*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24665 - 5*h + 24665.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 0) + -127*1. What is the remainder when (0 - -2)\/(5\/60) is divided by (k\/(-50))\/(2\/10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*n**2 + 20*n + 3*n**2 + 2111 - 2127.\nAnswer: -4*(n - 4)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1062\/8 + 2\/8. Let f = g + -52. Is 10 a factor of -1 - 0 - f\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - 3) + (-6)\/3264*-4354. Which is bigger: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 72. Suppose -7*u = -3*u - b. Is (-1830)\/(-14) + u\/21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4970 is divided by 2303.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 281*a + 9152069. What is k(3169)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 135*g**3 + 139.\nAnswer: 405*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - q**2 - 1. Suppose 0 + 4 = -g. Let a be 9\/3*g\/6. What are the prime factors of d(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 5*q = 8 + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/79 (b) 0.5 (c) 8 (d) -4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131235080 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 3*p - 3, -2*x - 2*x = 4*p + 28 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 + -80. Calculate the remainder when m is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64d3 (base 16) to base 7\nAnswer: -135152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01006286451133 + -0.063.\nAnswer: -0.05293713548867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 12*d**2 - 7*d + 30. Suppose -4*m - 3*v = -52, 6*m - 38 = m + 3*v. Let w be u(m). Let a = 553 + w. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-575)\/28 - (-27)\/(-36). Let m = d + 21. Suppose 0 = 2*z + 3*b + 10, -4*b = -3*z + 7*z + 12. Are z and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Suppose 0 = 3*a + 4*f - 11, -14*a + 11*a - 2*f = -7. Let d be -28*(-1)\/z*a. Calculate the greatest common divisor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -13924426?\nAnswer: -13924417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7563 (base 13) in base 12?\nAnswer: -9529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3. Let o = -613.7 - -614. Which is the fourth biggest value? (a) u (b) o (c) 1 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5667025 divided by -7?\nAnswer: 809575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*b - 2. Differentiate l**b - 7 + 8 - l**2 + 2*l**2 wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -q + 138, 0 = -3*q + 2*x - 211 + 627. What is the remainder when q is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 12*y - y to q + w*y and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1739, -1828, -2073, -2546, -3319?\nAnswer: -4464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 6*m. Suppose 2*w - 17 - 17 = m. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -199 + 38. Does 19 divide (-18)\/(-24) + w\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13501 (base 6) in base 8?\nAnswer: -4115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6828186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -560685 - -560685.9999895. Let u = m + -1. Round u to 6 decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4.4. Let x = -26 + 25.9. What is the nearest to x in -0.1, 1\/5, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 98*z = -145*z - 3308 - 7815 for z.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g**3 + 5*g**2 + 5*g - 5. Let m = -80 - -76. Let a(r) = -4*r**3 + 4*r**2 + 4*r - 4. Determine m*h(q) + 5*a(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 57.2 (c) 0 (d) -0.8 (e) 160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from odgoc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 542 and 254198.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 532 = l, -3*l + 1580 = -12*h + 13*h. Calculate the remainder when l is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 6:52 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1934, -1964, -1974, -1964, -1934?\n\"Answer: 10*z**2 - 60*z - 1884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2429 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 - 6)*(9*p + 7*p - 6*p)*(2 + 2 + 0).\nAnswer: -360*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 321691 to the power of 1\/2, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (2 - 55) + (-165 - -125).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -244417?\nAnswer: -244421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508040*b + 1140862*b + 537140*b - 3.\nAnswer: 1169962*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b. Let y(s) = 25*s - 11. Let w = 8 + -6. Let t(l) = 5*l - 2. Let n(h) = w*y(h) - 11*t(h). Calculate x(n(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/4 + 8*d**2 - 61*d\/4 + 15\/2 = 0.\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52120 is divided by 4343.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 1. Let s(o) = -77*o. Let x(h) = -s(h) + 2*t(h). Is x(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*1*20\/12. Suppose -3*k - 22 = 5*d, -4*d = -d - k + 2. Let z be ((1 - d)*(-16)\/8)\/(-2). Solve 4 + c = z*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*k - n = 231*k - 3, -6*n = -2*k - 42 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 + -103 - (-14 - -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 42, -56\/9, -7, -2 in increasing order.\nAnswer: -7, -56\/9, -2, 2\/11, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28041902.\nAnswer: 2, 7, 2002993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q = -90*k - 7*q - 1570, 4*k - 118 = 2*q - 194 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -12 - 0. Suppose w*o + 0*o = 63. Let q(c) = -o + 21 + 0*c + 5*c. Calculate q(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3017174508.\nAnswer: 2, 3, 3104089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -413, -414, -415, -416, -417, -418?\n\"Answer: -t - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142 and 16?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47*u**2 - u + 341 wrt u?\nAnswer: 94*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -158.5 take away -0.01080247576?\nAnswer: -158.48919752424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0809723271 - -0.3503.\nAnswer: 0.4312723271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from {h: 1, v: 3, w: 3, l: 7, c: 3, t: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 1:50 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 0*u**3 + 0*u**2 - 3 - 3\/4*u**4 - 2*u. Differentiate p(w) with respect to w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 9 = -d, 4*d - 7*b = -11*b - 20 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(8)\/sqrt(4) + sqrt(224)\/sqrt(7))*-6)**2.\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -7*a**5\/20 - 7*a**2\/2 - 2*a - 7. Let l(m) be the first derivative of f(m). What is the derivative of l(d) wrt d?\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 * -635.59.\nAnswer: -25.4236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-23 - ((9 - 11 - 0) + -5))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -689 by 7678.\nAnswer: -689\/7678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.55 and 431282.3?\nAnswer: 237205.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.7. Let v = 0.8 + h. Let f be 28\/(-45) + (-6)\/(-15). What is the nearest to f in v, -3\/2, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12397*r**3 + 146*r + 6?\nAnswer: -74382*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (322248\/(-29232) - (-10 - (2 + -1)))\/(120\/140)\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.44517 to 3 dps.\nAnswer: -1.445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -18*j**2 - 6916*j - 13752. Calculate y(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108 - -46. Let h be (4 - y\/(-8)) + 4. Which is the nearest to 1? (a) -2\/15 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - v - 1. Let a be p(-2). Let c(x) = -x**2 - 4*x + 7. Let b be c(-6). Sort b, 3, a in descending order.\nAnswer: 3, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 11:15 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2583 and 1148.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3837 = 4*q, -2*q + 1078 + 851 = 5*o. Calculate the greatest common divisor of q and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 + 70*n + 7*n**3 - 70*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -14339.12 to the nearest 10.\nAnswer: -14340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*1*-6)\/(sqrt(77)\/(sqrt(7)*1)) + sqrt(704)*-2 + sqrt(44)*1)**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -416322*z**4 - 532602*z**2?\nAnswer: -9991728*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**3\/7 + 396*a**2\/7 + 1152*a\/7 = 0.\nAnswer: -96, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, f: 6, a: 2}. Give prob of sequence aa.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4091766 centuries?\nAnswer: 0.04091766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.46 plus -0.025?\nAnswer: 1.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**2 + 7*b**2 - 32280 + 32243 + 3*b)*(-2 + 2 - b**2) in the form d*b**2 + v*b + f + o*b**4 + z*b**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20221112112 (base 3) in base 8?\nAnswer: -413013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/(12\/18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123 + 126. Let v be (-2)\/(-6) + 17\/3. Let u be 28\/v - (-4)\/(-6). Which is the closest to 1? (a) u (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-50)\/225)\/(2\/(-18)). What is the tens digit of (1296 + -2)*(4 - 7\/h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -438.3 - -420. Let f = -18.30101 - i. Round f to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**5 + 40*p**4 - 50*p**3 - 40*p**2 + 45*p = 0. Calculate p.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 26 = l - 2*k, 501 = -4*l + 3*k. Let g = 120 + l. Sort -3, g, 4 in descending order.\nAnswer: 4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 55. Solve -5*u - m*w = 10, -5*u - 10 = 4*w + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298474 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414 (base 6) to base 12.\nAnswer: -10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(5) + sqrt(720)*1.\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/((-5 - -1)\/(-12)). Let g(p) = 159*p**2 + 6*p - 7. Is g(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*s + s, 3*s = -2*l + 28. Suppose 210 = -12*z + l*z. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 29*x**2 + 4*x**2)*(3*x**3 + 0*x**3 - 2*x**3) - 10*x**5 - 58 + 58.\nAnswer: 25*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 6909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55332.\nAnswer: 2, 3, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 8:28 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6712230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -94 and 2552.\nAnswer: 2458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15, 31, 81, 183, 355, 615, 981, 1471?\n\"Answer: 3*x**3 - x**2 - 2*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, i: 12, h: 1, q: 2, f: 2, m: 2}. Give prob of sequence mhm.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -0.02, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3.49, 0.3, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*m + 18 = 0, 0 = -r + 5*m + 7 - 1. Let t(b) = -6*b + 3. Let l(d) = -11*d + 6. Let w(y) = -4*l(y) + 7*t(y). Is w(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*f + 4)*(-380 + 542 + 376).\nAnswer: 1076*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y**2 + 13*y - 20. Let b(i) = -i**2 - 1. Let d(c) = a(c) - 6*b(c). Let x be d(11). Suppose u - 3 - 2 = 0. Solve 0 = u*o + x + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = -3*m + 69, -92*d + 95*d - 20 = 2*m for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98))**2 + 0 - (sqrt(6)\/(sqrt(15)\/sqrt(5)))**2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -9. Let o = q + 91. Let x = -103 + o. Calculate the common denominator of -51\/2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 160499.48 and 4.\nAnswer: 641997.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6) + (2 - (-11)\/(-33)). Let p be (4 - a) + (10 - (-2 - -8)). Let r(w) = 6*w - 4. What is r(p)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q + 19 = -29*q. Suppose -4*n - 3 = -q. Solve 2*s - n = -0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 8. Suppose s*n + 10 = -2, -5*n = -5*p + 55. Find the third derivative of 4*a**2 + 6*a**3 + p - 3 - 5 wrt a.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30878, -39, -0.8, 0.5, 1?\nAnswer: 30878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 4*a**2 + 9*a + 18. Let o be r(6). Which is smaller: -22\/17 or o?\nAnswer: -22\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qusdj. Give prob of picking 1 q, 1 j, and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 341 - 241. Suppose 5*u = -4*g + 185, -3*g + o + 5 = -3*u. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-3)*22\/((-968)\/(-33))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 122*k + 21 = -123*k, -74*z - 26 = -4*k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 7*p, 5*p + 172 = -b. Let j = 239 + b. What is the greatest common factor of j and 536?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + o**2 - 7*o + 4. Let f be h(2). Solve -a + f*t = 4*a - 3, 4*t = -2*a + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -37. Let k(x) = 7*x - 1. Let l be k(1). Suppose 0 = v + l. Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7*b = 2*b - 10, -2*b = 6. Suppose w + 4*w + x*f = 520, -w = -3*f - 104. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12250928 and 4064?\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63496 - -144027. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -724*s + 2744. Give q(4).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 1996*s - 74 = -997*s - 997*s, 5*z - 4*s = 202 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 988*t - 27893. Determine y(-30).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6. Let t(g) = -g - 7. Let w(c) = -2*l(c) + 3*t(c). Let u be w(-7). Calculate the greatest common factor of u and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from hhdhhd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/6 (b) 1\/3 (c) 6 (d) -31\/5 (e) -1\/8 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125440292?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 758, 737, 706, 665, 614?\n\"Answer: -5*l**2 - 6*l + 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1747*r**3 + 40*r**2 - 34*r**2 + 1618*r**3 + r - 2*r**3 - r + (-2*r**3 + 0*r + 0*r)*(5 - 3 - 1) as m + a*r + h*r**2 + z*r**3 and give z.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 82\/8 + (-2)\/8. Let p(k) = -138 - k + k**2 + 71 + 68. Is p(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 1523859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 7*g**2 - 8*g. Calculate z(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2039*a**3 - 45 - 83*a**2 + 424*a**3 + 45 + 83*a**2.\nAnswer: -1615*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 3*t - 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2457 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*s + 10, y + 4*s + 17 = 5. What is the units digit of y\/3 + 1 + (-984)\/(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b = -24014 - 32663. Calculate the highest common factor of 1413 and b.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -3, 36, -2 in increasing order.\nAnswer: -3, -2, 1, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 38*o - 10 = 41*o, -3*n - 4*o - 5 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20416461 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(18) - -6*(sqrt(72)\/sqrt(4) + sqrt(18) + sqrt(18)))\/(sqrt(576)*4))**2 + 0.\nAnswer: 95*sqrt(2)\/16 + 13161\/512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257993 is divided by 187?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 69 + (2 - 1) + 3 + 0. Suppose -31 = -2*c + j. Suppose 81 = 2*v - 3*p, 36 = 3*v - 2*v + 3*p. Calculate the greatest common factor of v and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -166\/5 - -33. Suppose 2*m = k, -3 = -5*m + 2. Sort k, c, 0 in increasing order.\nAnswer: c, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 2:56 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223070101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/3 - 34576*z**3\/3 + 66320332*z**2 - 379404191872*z\/3 - 9609996450550\/3.\nAnswer: 2*(z - 5771)**3*(z + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stlllltpstt. Give prob of picking 3 t.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58.283 - -58. Let o = r + -0.017. What is the nearest to o in 5, -0.05, 0?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -1. Let k = r + -3.1. Let y = 0.61 - k. Round y to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 163, 158, 151, 142, 131?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -38 + 60 + (-450)\/18. Let g = -6 + 4. Let y = 0 - g. Put -4, r, y, 6 in descending order.\nAnswer: 6, y, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -6*a**4 - 26*a**3 + 418*a**2 - 254*a - 132 = 0.\nAnswer: -11, -1\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10876*x + 11048*x = -1376 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 64. Let n = a + 69. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 - 5529788*f\/5 - 7644638831236\/5.\nAnswer: -(f + 2764894)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 17*i**2. Suppose -2*k + 13 = -3*w + 2*w, -3*k = 3*w - 6. Let g(l) = 16*l - 6. Let x(c) = 15*c - 5. Let n(p) = k*g(p) - 6*x(p). Calculate n(u(f)).\nAnswer: -170*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-1 - -6)) + (-2 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(204)\/sqrt(108) - (sqrt(833) + (sqrt(833) - sqrt(833)*1*-5)))*-6.\nAnswer: 296*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-8)*(-4)\/1. Let b(x) = 2*x**2 - p + 5. Let r(s) = 1 + s - 2 + 1. What is r(b(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -33155 plus -0.0712?\nAnswer: -33155.0712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/3 (b) 4 (c) 12 (d) -10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10294, -20622, -30950, -41278, -51606?\n\"Answer: -10328*d + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 272022 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-56)\/10)\/(40\/(-100)). Suppose -6*y - f = -2*y - 275, -y = -2*f - 80. What is the highest common factor of y and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-29 + 1)*(-1 + -1). Let n = 76 - y. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 2\/7, -1.1, -49\/8, -0.165 in descending order.\nAnswer: 2\/7, -0.165, -1.1, -5\/3, -49\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -3701?\nAnswer: -3701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 - -18) + (37 + -2 - (6 - 9)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*h - 260 - 63 = 0. Let q(i) = 325*i**3 - 2*i**2 - i + 3. Let g be q(3). Does 14 divide (g\/35)\/9 - h\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -266, 2, -5, 4, 7 in descending order.\nAnswer: 42, 7, 4, 2, -5, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(108\/15 + -6). Let u(j) = -j**2 - 1. Let v be u(2). Which is smaller: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*v - 2*q + 3869, -4*v = 2*q - 15470. Is (-4)\/18 - v\/(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - 5*w**2 + 5*w + 1. Calculate the remainder when b(-4) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/66 + (-3)\/(-11).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 7 + -18 - 0 - (2 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 - -0.22. Let k = -0.1 - 1.9. What is the closest to -0.1 in -1, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*l + 4, -6*p + 3*p = 3*l - 6. Suppose 4*d + 320 = 4*a, 0 = p*a + 4*d + 10 - 164. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95\/159 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 8:07 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 131942386 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r*r**(1\/2)*r))**(5\/7)\/((r\/(r\/(r**(-6)\/r)))\/(r*r**5\/r*r)) assuming r is positive.\nAnswer: r**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 19 = -4*l, 0 = -3*u + 2*l + 10 + 33. Calculate the highest common divisor of 10 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of k**5\/20 - 2*k**4\/3 + k**3 + 13*k**2\/2 + 1144*k. Determine a(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 9*x**2 - 15*x - 16. Give l(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2278022542 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/4 (b) -2 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2 + z + 5. Let h be y(-1). Suppose 2*a = 7*a + 20. Let x = 0 + a. Put 7, 3, x, h in increasing order.\nAnswer: x, h, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-459))\/(((-22145)\/(-129))\/103)?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6 + 3 + 3*l - 3*l + l - 6*l**2. Let m(c) = 4*c**2 - c + 2. Suppose o + 8*o - 63 = 0. Determine o*m(v) + 5*r(v).\nAnswer: -2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010 + 122120222010?\nAnswer: 122120211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j + 16*j - 8, 4*j = 5*c - 22. Suppose k + 4*r + 10 = -c, -4 = -4*k + r. Factor k*m**2 - 2\/15*m**3 + 0 + 2\/15*m.\nAnswer: -2*m*(m - 1)*(m + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1235 + 1239. Solve -2*b + 2*u = -2, -a = 5*b - b + 4*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -39, -88, -155, -240, -343, -464?\nAnswer: -603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 6 + 1)*(-2*g - g + g) + (2 + 3 - 3)*(2 - 3 + 3*g - 4*g) to f + w*g and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -12*l**2 - 178*l + 30. Calculate x(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 826072*p**2 - 3304224*p.\nAnswer: -4*p*(p + 4)*(p + 206514)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 33*g - 2. Let k(d) = 2*d + 9. Let q be k(-5). Let c be m(q). List the prime factors of 1*-7*150\/c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by -61?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63 - 30 - 9*d**2 - 33.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -2.1.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 + 67.23. Let q = 0.07 + c. Suppose -5*b + 21 + 4 = 0. What is the nearest to q in 4, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -480*l**2*m**4 - 23*l**2*m + 3*l*m - 2*m wrt m?\nAnswer: -5760*l**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -2703?\nAnswer: -5406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 163, 232, 315, 418, 547, 708, 907, 1150?\n\"Answer: p**3 + p**2 + 59*p + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 0*v**2 - 2 + 2*v**2 - 4*v**2 - 3*v. Let a be f(-2). Suppose -3*s + 4*y + 3 = y, -4*s + 3*y + a = 0. Solve -3 = w + s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1491996839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*(h\/(h\/(h*((h**(2\/5)*h*h)\/h)\/h)*h))\/h)\/(h**1*h**(1\/2)) assuming h is positive.\nAnswer: h**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5667 + 6081. What is the lowest common multiple of 162 and k?\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhm when three letters picked without replacement from hzmzzhhzhz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20c07 - -d9?\nAnswer: 20ce0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2166 and 6.\nAnswer: 2166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -37*i - 23. Let d be m(-2). Suppose -2*c = -2*g - 3*c + d, -g = -c - 24. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15205 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 5*h + 6. Let j be s(4). Suppose 0*q - 72 = -j*q. Suppose y - 5*y = -q. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 + -25. Which is greater: 29 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4003468.5 rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.805921l in millilitres?\nAnswer: 7805.921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + 6*-6*sqrt(88) - (sqrt(88)*-6 + sqrt(88))*1)\/(-3*sqrt(72) - (6*sqrt(88) + sqrt(88))\/sqrt(11)).\nAnswer: 15*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 716 = 4*a - 2371, -2*v = 2*a - 828. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2669 - 4827?\nAnswer: -7193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00091050468 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-252))\/((-373)\/((-276766)\/1060))\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5083 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.94 - 0.06. Suppose -702 = 29*r - 93. Let n be 225\/r - (-88)\/8. Which is the smallest value? (a) 2 (b) n (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 218*s**2 + 214*s**2 - 428*s**2. Let w(j) = 2*j - 3*j + 2*j. What is l(w(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-3600)*-16)\/(99\/(-110)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -1440 and -1440 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**3 - 3*w**2 - w - 7. Give i(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3 + 3044595*j**2 - 432449 wrt j.\nAnswer: 6*j**2 + 6089190*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8684 is divided by 69.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 = 2*x. Let b be 0 + 7\/x*2. Calculate the highest common divisor of b and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 - 49*z + 24. Let b(o) = 6*o**2 - 98*o + 48. Let k(j) = 9*a(j) - 4*b(j). Let i be k(14). Is i < -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 179401208 - 5\nAnswer: 179401203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*w + 719 = -130, -6*w = -3*v + 1278. Which is bigger: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -46, 650, 2508, 6110, 12038, 20874, 33200, 49598?\n\"Answer: 97*d**3 - d**2 + 20*d - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 13, 236, 0.1, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5364526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 - 3. Let c(t) = 14*t**2 + t - 13. Let l(n) = 2*c(n) - 9*j(n). Let s be (-7)\/35 + 4\/(-5). Calculate l(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15)\/6 + -28*(-47015)\/40?\nAnswer: 2, 19, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q + 5. Let s be f(10). Differentiate -16*j**4 + 3*j**3 - 3*j**3 - 23 + s wrt j.\nAnswer: -64*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 781150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 134 - 739. What is the greatest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*y + 18277 = -24*y - 14539. Calculate the remainder when y is divided by 585.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (4 - (0 + 2) - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.38 * 8321007\nAnswer: 3161982.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.29 + -0.04. Let a = o + 0.329977. What is a rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) 1.3771 (b) 41 (c) 1\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9 = -o, -4*o + 3*o = 5*x - 24. Suppose 8*y = -x*m + 9*y + 76, 0 = 3*m - 3*y - 48. Calculate the lowest common multiple of 135 and m.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-342797)\/(-65) - 18\/(-15). Calculate the greatest common divisor of q and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0*q**6 - 1\/3*q**3 + 0*q**5 - 8*q**2 - 1\/70*q**7 + 0*q**4 + 0*q + 0. Differentiate g(i) wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65540, 131059, 196580, 262103?\nAnswer: 327628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 5:59 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 312 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -2*o - 16, -5*h - 17 = 10*o - 6*o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 592 divide 171525234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -267?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -217*y**5\/5 - 201*y - 397. Find the first derivative of r(k) wrt k.\nAnswer: -868*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3.7. Let b = 0.13 + 17.87. Let x = b + -17.8. What is the nearest to -2\/9 in d, -5, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-g + 0*g - 2*g) + g - 5*g + 3*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/630 and -95\/2244.\nAnswer: 235620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*k - 5*k. Calculate the remainder when k is divided by 112\/84*(-9)\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/1040*-13)\/(15\/620).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t + 19. Determine s(-11).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1578909.7 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*a**5 + 0*a**2 + 37*a**5 - 6*a**2 + 3*a**2 wrt a?\nAnswer: 660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 190, 395, 922, 1933, 3590?\n\"Answer: 27*u**3 - u**2 + 19*u + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 3*v**2 - 2*v. Let l be b(-2). Suppose 2*a + a - 45 = l. Suppose -3*d - 1 = -4*j, -44*d - 2*j + 23 = -41*d. Solve 0 = d*k + a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:36 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -207 (base 9) to base 13\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*w**5 - 4396*w**4 - 1932*w**3 + 10296*w**2 - 4304*w + 480 = 0 for w.\nAnswer: -30, -2, 2\/9, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1755, -1760, -1765, -1770?\nAnswer: -1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + (-1 + -5*sqrt(17)*1 + sqrt(17) + -2 + -2)*-5)**2.\nAnswer: 880*sqrt(17) + 7285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 33*k**2 - 163*k - 3. Let w be j(6). Let h(y) = 3*y + 10. Calculate h(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.447 * 0.5.\nAnswer: -3.2235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/11? (a) 0 (b) 3\/3083 (c) 1\/3 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 1. Let x be s(5). Let l be -1*1 - (-6 + 1). Let r(c) = -2*c - 1. Let m be r(-2). Sort m, l, x in decreasing order.\nAnswer: l, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 215 and 92?\nAnswer: 19780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 3*r**2 + 6*r + 6. Let u be q(-4). Let t(i) be the first derivative of i**3 + 1\/4*i**4 + 6 + 1\/2*i**2 + i. What is t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2443152 is divided by 158.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11133720 divided by -21411?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-20) + (-52)\/(-10). Which is the fourth biggest value? (a) 0.5 (b) k (c) -1\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/16 and 5330\/(-1235) + 5\/2?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -3\/8, 11\/3, -2?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 72128463?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, x: 7}. Give prob of sequence xx.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**5 + 29*d**4 - 1433*d wrt d.\nAnswer: 100*d**3 + 348*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110010011 (base 2) to base 7.\nAnswer: 13063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48483261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 61 = 37 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4037221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 7:21 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + (36 - (-48 - -149)) - 45?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 7*q**2 + 5*q + 2. Let i(p) = -1. Let s(f) = -3*i(f) + v(f). Let a be s(-4). What is the greatest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9989 and 455.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1903\nAnswer: -1\/1903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*p - 57 - 55, -4*z = 5*p - 420. Let x be 20\/(-12)*(-1440)\/z. Suppose -3*g + 4*g = 3. What is the greatest common factor of x and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -156*z**2 - 213*z + 3*z**3 - 82*z - 5*z**3 - 5*z + z**3 wrt z?\nAnswer: -6*z - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27073*o**2*r*s**2 + 18*o**2*r*s + o*r*s**2 - 2*o*s**2 - 14039*r*s**2 + 2*r + s wrt o?\nAnswer: -54146*r*s**2 + 36*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4229343602.\nAnswer: 2, 11, 41, 593, 7907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2752 and 78752.\nAnswer: 6772672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 h when three letters picked without replacement from {q: 4, n: 1, h: 2}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a**3 + 48*a**2 + 102*a + 2. Give h(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 - 12*u**4 + 10*u**3.\nAnswer: 2*u**3*(u - 5)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfddiryfu. Give prob of sequence iy.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 356197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 2*a**3\/3 + a**2 + 3*a + 125. Suppose d = -3*d + 16. What is the tens digit of j(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**3\/4 + 195*a**2\/4 - 51*a - 99 = 0.\nAnswer: -66, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/6, 8, 448, -0.2 in descending order.\nAnswer: 448, 8, 3, 1\/6, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1330182 divided by 23\nAnswer: -57834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 37, 70, 127, 214, 337, 502?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7483, 14946, 22397, 29830, 37239?\n\"Answer: -o**3 + 7470*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (308\/198)\/((-2)\/3)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 + 5*c**3 - 3*c**3 + 2*c**3 - c**3 - 2*c**3 + (2 - 7*c - 2)*(-2*c + 2*c**2 + 2*c).\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 25 = -g, -g - 3*g - 40 = 5*m. Let c = g + 8. Suppose -3*y = c*o - 2*y - 450003, 5*y - 450015 = -3*o. Round o to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0*m - 2, -3*i + 4*m = 157. Let s = i + 52. Let h be (-6)\/10 + s - (-4)\/15. What is the third biggest value in 1\/3, h, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 127091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3930c (base 15) to base 6.\nAnswer: 3530533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -519 or -549?\nAnswer: -549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plpppppppllvpppp. Give prob of picking 1 p, 1 l, and 1 v.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -466316.56 and -14.68408.\nAnswer: -466331.24408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12280?\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -3091793.\nAnswer: -4\/3091793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z - 128 = -4*f, 4*z = f - 17. Suppose -x = -10*y + 5*y - 91, -5*y + 353 = 3*x. What is the remainder when x is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 9*z**2 + 13*z + 9. Suppose 5*f + 5*t - 20 = 0, 25*f + 23 = 30*f + 4*t. Calculate v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477970107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 + -21.09. Let u = t - 6. Which is smaller: 0.1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**3\/2 - 225*b**2 - 6750*b - 67500 = 0. What is b?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2513 + 2625 = 14*r. Let t be ((-3)\/(-4))\/((-2)\/(-8)). Solve r*i - t*i = -25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -15*r**4 - 253*r**3 + 304*r**2 - 36*r = 0.\nAnswer: -18, 0, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 475421 divided by -65.\nAnswer: -475421\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 divided by 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 3*j**2 + j - 2. Let h be q(2). Suppose -394 = -5*c - h*u - 24, -4*c + 260 = -4*u. Is 35 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l**3 - 12*l**2 + 38*l + 2. Let n(m) = 26*m**3 + 37*m**2 - 108*m - 6. Give 6*n(b) + 17*o(b).\nAnswer: 3*b**3 + 18*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -12. Let j(l) = 8 - 8 - 6*l. Let z be j(h). Solve 4*c + 45 = -9*d + 4*d, -2*c - z = 4*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**6\/1260 + p**5\/90 + 5*p**4\/126 - p**2 - 175*p. Let b(s) be the first derivative of d(s). Factor b(u).\nAnswer: 2*u*(u + 2)*(u + 5)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2.28 (b) -2\/79 (c) -194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*h + 4*h - 33*h)*(-3*h**2 - 2*h**2 + 8*h**2)*(h + 2*h + 0*h) to the form r*h + q*h**2 + z*h**4 + w + o*h**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -1 + 2*a - 14*a + 18*a**2 + 6*a. Is i(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l. Suppose 3*j + 5*t - 10 = 0, -2*j + 7 = 5*t + 2. Let i(r) = -j*r - 2*r + 2*r. Calculate i(o(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -150\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t + 218 = 162 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 1. Suppose -4*w + 34 = n, 4*w + 61 = -x*n + 185. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 19*d + 1481. Let w be r(-30). Let h = -0.8 + 1. Let y be 0 + 1 + (-18)\/16. What is the third biggest value in w, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + ((1 + sqrt(180) - sqrt(180))*-4)**2).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -38968 and -307.\nAnswer: -39275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-15)\/(-6))*1. Let t = 2127 - 2126. Which is the second smallest value? (a) n (b) t (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011101110 + 0?\nAnswer: 111011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(0 + 0 - m)*(m - 114 + 114)*(8*m - 8*m - 9*m**2).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 888?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**4 - 25325*h**3 - 865385*h**2 - 7368055*h = 0.\nAnswer: -17, 0, 5099","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8173614, 16347295, 24520976, 32694657?\n\"Answer: 8173681*b - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**2 - 3. Let f be p(5). Let y = f - -287. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p. Let q(s) = -80*s + 80*s + 3*s**2. Give q(t(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 10*i**2 + 11*i - 18. Let t be p(8). What is the highest common divisor of t and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 910*q + 41506 = 545*q - 597*q - 822 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\/(-8)*2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2*m + 6 = 0, -219*x - 18 = -221*x + 5*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 569, 592, 597, 572, 505, 384, 197, -68?\n\"Answer: -2*x**3 + 3*x**2 + 28*x + 540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 3*t - 0*t - 20, 5*f = -2*t + 25. Suppose -27*l - 882 = -33*l. Let k = l - 145. What is the remainder when f is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 9 - 69. Does 51 divide (12\/16)\/(15\/g)*-214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o - 3983 = 24241. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -200, -377, -542, -689, -812?\nAnswer: -905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -21*a + 4. Determine p(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57783?\nAnswer: 3, 11, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 14, 139 in increasing order.\nAnswer: 14, 40, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**3\/3 + 2*o + 24. Let t(x) = -583*x**2. What is t(y(z))?\nAnswer: -2332*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 237526 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.18 (b) -2 (c) -0.3 (d) -0.4 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 86709466 to the power of 1\/2, to the nearest integer?\nAnswer: 9312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**7\/10080 - c**6\/1440 + c**4\/6 - c**2. Let b(n) be the second derivative of f(n). Suppose b(k) = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155741*p + 155741*p + 11*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -6\/11, -12, 0.2 in ascending order.\nAnswer: -12, -6\/11, 0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 3246. Let v(q) = -q - 3238. Determine -6*u(o) - 5*v(o).\nAnswer: -o - 3286","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = -2*n + 45, 0 = 2*n + 2*f - 26. Suppose -n*v + 14*v + 840 = 0. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687800 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10096146 + 2?\nAnswer: 10096148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 13976, 3, -3\/4, -2, 2, -1 in decreasing order.\nAnswer: 13976, 3, 2, -3\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -16*l - 42. Let a(f) = -f - 14. Let u(s) = 3*a(s) - k(s). Let n(i) = -11*i**2 - 6*i. Determine u(n(d)).\nAnswer: -143*d**2 - 78*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*u + 15. Let x = 111 - 97. Calculate the remainder when x is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 10) to base 9\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21792 and 659208.\nAnswer: 2636832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105 + 108. Suppose 4 = 5*s - h*s. Suppose s*i = -4*i + 3018. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/19, -0.1, -18, 5\/2, -0.3, -2\/155?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 10*g - 29*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -6646543?\nAnswer: -5\/6646543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**5\/6 + 17*y**4\/6 - 7*y**3\/3 - y**2 + 12*y. Let u be h(-7). Solve -x - 4*x - 2*o + 11 = u, 0 = o - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000647478 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16535531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (40 + -17 - 22).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004299 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (510\/4 + (-1 - -2))*10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 6*o. Let k = -33 + o. Let t = k - -80. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105699835 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10\/59 - -1178\/2773. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00564007 rounded to five decimal places?\nAnswer: -0.00564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 295\/5149 + 13\/271. Which is the nearest to 1\/6? (a) 6\/13 (b) -2 (c) u (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28344588 to the power of 1\/2, to the nearest integer?\nAnswer: 5324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -113 + 112 - ((-25)\/(-9) + 4\/18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64929914?\nAnswer: 2, 7, 43, 107857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 21*m + 15*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 496 - 497. Which is smaller: w or -2\/685?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m\/m**(-3\/2))))\/m)\/m**(3\/2)*m\/(m\/(m*m\/m**(-2\/25)*m))*m**(-4) assuming m is positive.\nAnswer: m**(-23\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 332648 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b + b)*(6 - 6 - 8*b)*(0*b + 0*b + b)*(-3 + 1 + 4).\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 4*u**2 - u**2)*(-4 - 2*u + 5 - 2).\nAnswer: -6*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2\/5 - 326128*m\/5 = 0.\nAnswer: -163064, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 447207403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, o: 2, y: 2}. Give prob of sequence ygy.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5 = m + 12, -2*l = 3*m + 1. Let y = 5 - m. Suppose 0 = -p + 5*u + 12, 2*p + u + y = 4. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8569 and 337117.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4))**24*(f*f*(f\/(f\/f**(-7)))\/f)\/f**(-1\/7))\/((f**(2\/21)\/((f\/((f\/f**(-1\/5))\/f))\/f*f))\/(f*f**3*f\/f**(-7))) assuming f is positive.\nAnswer: f**(1349\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 937, 1858, 2743, 3574, 4333, 5002, 5563, 5998?\n\"Answer: -3*k**3 + 942*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2*h + 338 - 348 = 0, 2*u = -h + 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**5 - 19*n**4\/4 + 406*n**3\/3 + 493. Find the third derivative of g(y) wrt y.\nAnswer: 120*y - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 66 - -3234?\nAnswer: 329a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w**4 + 2*w**3 - 20*w. Let f(p) = -12*p**4 + 3*p**3 - 19*p. Let z(t) = -2*f(t) + 3*o(t). What is the second derivative of z(a) wrt a?\nAnswer: -180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by -284.\nAnswer: 41\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*i**2*q - 2*i**2*x - 364383*i**2 + q*x + 7906*q with respect to q.\nAnswer: 14*i**2 + x + 7906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 27 = 4*l, s = -5*l + 9 + 9. Suppose 0 = n + l*n. Let i(x) = 0*x - x + 2*x - 4. What is i(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 432, 750, 1342, 2292, 3684, 5602?\nAnswer: 8130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n**2 - 37*n**2 + 1 - n**3 + 11*n**2 + 15*n**2 + n. Let a(t) = 9*t**3 + 13*t - 26. Let v(o) = 5*a(o) + 40*i(o). Let v(c) = 0. Calculate c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2))\/c*c**(1\/56)*c*((c\/c**20*c*c)\/c)**(2\/71) assuming c is positive.\nAnswer: c**(-5921\/3976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -9 + -8 - -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.054 + 54.054. Let o = d + -55. Which is the third biggest value? (a) 17\/2 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-52) + (-148)\/112. What is the nearest to 1\/12 in -0.2, k, 0.4, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 + 42*l + 2. Calculate the smallest common multiple of 10 and d(7).\nAnswer: 4910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 - 1 + 1)*(2690*m**2 + 6352*m**2 - 12436*m**2) to h + d*m**2 + t*m**4 + f*m**3 + o*m and give t.\nAnswer: 6788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-80)\/(-15)*(-9)\/(-6). Suppose -6*x = -2*x - l. Suppose -x*z = z - 3. Which is the second smallest value? (a) -0.3 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1275*v**4 + 2*v**3 - 852*v - 1.\nAnswer: 15300*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2120 + -34017\/16. Calculate the common denominator of (-2362)\/(-364) + 24\/156 and q.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyzzzezzzzzyyezzeze. Give prob of sequence zeey.\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59432?\nAnswer: 2, 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + -2 + -3 + -12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzgggqqzgozqz. What is prob of sequence zzzo?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1787\/6 - -298. Which is the closest to 0? (a) -3.5 (b) -2\/7 (c) m (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20715921259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -10*x - 44, -126*x = 4*k - 131*x - 11 - 25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:39 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 44924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184.99 - -184. Which is smaller: g or -1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w + 3. Let g be k(-3). Let c(t) = -2*t**2 - 7*t + 1. Let a(p) = -6*p**2 - 20*p + 2. Let l(h) = g*a(h) + 8*c(h). Factor l(u).\nAnswer: 2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26\/15 + 14\/15. Let l = 1 - 1.2. Let q = 0.4 - 0.3. What is the second smallest value in l, q, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10189779, 10189767, 10189753, 10189737, 10189719?\n\"Answer: -t**2 - 9*t + 10189789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66.66 - 62.66. Which is the nearest to -2\/253? (a) 0.1 (b) -3\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.014008 - -0.013. Round a to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/4 - (-2)\/(-4). Let m(c) = -50*c + 353. Let y be m(7). Suppose -4*b - d = y*s - 5*b, -b = -2*s - 4. Which is bigger: 2\/9 or s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19910 + -19910. Put 5, 31, 22, w, -2 in descending order.\nAnswer: 31, 22, 5, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 40*p**2 - 2*p + 27. Is 29 a factor of f(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/3 or 0.259511?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.77 - -6.97. Let i = 6.107 - 0.107. Let h = i - q. What is the closest to h in 5, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w - 9. Suppose b = -7 + 3. Let m(y) = 2*y - 2 - 2 - 1 + 0*y. Determine b*d(g) + 7*m(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(5472\/(-216))*(2816\/(-156))\/(-11).\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+-1422027\nAnswer: -1422027.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4780)\/(-2868))\/(350\/12)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 95 + 69. Suppose 724 = 4*c - 4*y + s, 2*y = -5*c + 707. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = 3*g - 4*n, 4*g = n - 16. Let k be (-3)\/g - (-90)\/8. Suppose -k = -5*u + 3. Solve -j + 8 = -u*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 832222?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-10)\/((-200)\/(-1110))*((-5)\/(-1))\/(-30).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -9*f + 16. What is the common denominator of -19\/20 and (-474)\/f*2\/(-34 + -2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 913043817?\nAnswer: 3, 7, 14492759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -22*y + 15*y + 13010. What are the prime factors of y?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120114 - -323240?\nAnswer: 203121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 12*m**2 + 105367. Let r(o) = -5*o. Give g(r(w)).\nAnswer: 300*w**2 + 105367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 12 + 3*b)*(2 + 5 + 1) + (0 - 5 + 3)*(-b - 2*b + b) as u + w*b and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/16)\/(6903\/(-3978) - 8\/(-34))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347 + 139*j**3 - 347 - 114*j**3.\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -0.053, 1\/6 in descending order.\nAnswer: 4, 1\/6, -0.053, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 39, 32, 25, 18, 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 9. Let m = 756.499 - 757. Let w = m + 0.101. What is the biggest value in z, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2\/13, -6, 110, -1\/4, -2\/3 in ascending order.\nAnswer: -11, -6, -2\/3, -1\/4, 2\/13, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c**7\/c*c)\/c)\/(c\/(c*c*c*((c**(-3\/4)*c)\/c*c*c)\/c*c)))\/(c**(2\/3))**(-48)*(c\/(c*c**(2\/3)*c))**(-20)*c**(-2\/13)*c**(-5) assuming c is positive.\nAnswer: c**(11143\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/32)\/((-11)\/(-33)))\/(45\/12).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - -32 - 102 - -33?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 8. Let n be r(-9). Suppose 3*w + n = 10. What is the smallest common multiple of 8 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b + 34*b = 60. Suppose 7*r - 4*r + b = 0. Let q = 2 + -1.99. Put -1\/3, r, q in descending order.\nAnswer: q, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90340 - -90339.9885221. Let r = u - -0.0115. Round r to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 564243 is divided by 197.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 63, 107, 149, 189, 227, 263?\n\"Answer: -c**2 + 49*c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571444.\nAnswer: 2, 19, 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/8 at most -2\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of k**5\/60 + 5*k**4\/24 - 7*k**3\/2 + 3*k**2. Let l be f(-8). What is the highest common factor of 15 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, c: 1, w: 3, d: 8, t: 1, z: 1}. What is prob of picking 1 w, 1 u, and 1 c?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-195))\/((-4)\/(-18))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (645\/2)\/((-395)\/(-1106)*7)\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, y: 10, g: 2}. What is prob of sequence gyg?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 517489090 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-6))\/(-2 + (-74)\/(-36)). Let v = r + 9. What is the hundreds digit of ((-42)\/v)\/(-7) + 1103\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9460 divided by 6.\nAnswer: -4730\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v**3 - v**2 - 736 + 3*v + 0*v + 735 to the form u*v**3 + n*v**2 + i*v + h and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z + 5*z - 3*z)*(1 + 0 + 1) + 4 + 2*z - 4 + 1 + z - 1)*(0*z**2 - 3*z**2 + 4*z**2) + 2*z**3 + 5911*z - 73 - 11827*z + 5913*z.\nAnswer: 7*z**3 - 3*z - 73","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75408 divided by 12568.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (17 - 9) + -4 + -2 + -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 199063500 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6*p**2 + 5*p - 5. Let y be (731\/(-51))\/(1\/3). Let f = 43 + y. Let z(j) = 5*j - 3*j**2 + f - 2*j - 3. Determine -3*a(m) + 5*z(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(8\/(-6)) + 123. Find the third derivative of v*h**4 - 164*h**2 - 162*h**2 + 292*h**2 wrt h.\nAnswer: 2880*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*r - 145, r = -3*t - 2*r + 129. Suppose 0 = -2*k - 4*f + t, f = -3*k - 2*f + 66. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -528103600*l**4*z - 2*l**3*z**2 - 15*l**2*z + 333*l**2 + 3*l*z**2 + 5*l*z - 3*l - 19*z**2 wrt l?\nAnswer: -12674486400*l*z - 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 71, -2\/11, 7\/3.\nAnswer: -2\/11, 2\/5, 7\/3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, 49, 162, 321, 526, 777, 1074?\n\"Answer: 23*n**2 - 2*n - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6071900 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -28*g + 20. Let q be t(-10). Let w = 305 - q. Sort 13, w, 2 in decreasing order.\nAnswer: 13, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3168, 5, -1054 in descending order.\nAnswer: 5, -1054, -3168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0 (b) 1 (c) -1 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -47. Suppose 21*j - 315 = p*j. Calculate the remainder when 37 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w - 1 = 0. Let p = 13 - 11. Suppose 2*y = 2*i - p, 5*i = 4*y + 11 - 4. Solve -s - w = 5*b, b + 3*s + i = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 400*s**2 - 1143*s. Let f(r) = r. What is f(v(h))?\nAnswer: 400*h**2 - 1143*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - 49. Calculate the smallest common multiple of 63 and z.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -154\nAnswer: -46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n. Let j(h) = 16*h - 3. Let g(k) = -33*k + 7. Let l(q) = 3*g(q) + 7*j(q). Calculate t(l(y)).\nAnswer: -39*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8076502 divided by 14371\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 823.4981 centuries in millennia?\nAnswer: 82.34981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 798335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(176)*-1 - sqrt(11))**2 - (-1 + sqrt(1100))) + 1*(-5*sqrt(275) - sqrt(11)).\nAnswer: -36*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r - 5*c - 2727, -5*c = 3*r + 2044. Round r to the nearest 10.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1739*g - 3297 = -640*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + ((sqrt(245) - (-3*(sqrt(245) + 0 - sqrt(245)) - sqrt(245)))**2 - (((0 + sqrt(245))*5)**2 + sqrt(245))) + -4 + -1).\nAnswer: 28*sqrt(5) + 20600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110101001011 - 110001001?\nAnswer: -1001111011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 + 32)*5\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3135097 and 1609657?\nAnswer: 1589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -7\/18659, -2\/83 in descending order.\nAnswer: -7\/18659, -2\/83, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 10:36 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3 + 1522996*w**2 + 580063442597*w + 140286174543218 = 0.\nAnswer: -761377, -242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 189519961*q**2 + 228688799.\nAnswer: 379039922*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + 0.9. Let f = 67 + -66.73. Let s = f - -0.23. What is the nearest to y in s, 2\/17, -1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 16 = 4*p, -2 + 0 = -5*z + p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 17*c = 7*a - 77457, -5*a = -c - 55341. What are the prime factors of a?\nAnswer: 3, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**3 + u**2 - u - 1. Suppose 4*w = -5*t + 24, -3*w - 5*t = -4*t - 7. What is the remainder when 18 is divided by v(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37907039.6 to the nearest 1000.\nAnswer: 37907000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c. Let f(n) = -3*n**2 + 351. Determine q(f(d)).\nAnswer: 6*d**2 - 702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12)\/q*q)\/(q*q**(1\/16)) assuming q is positive.\nAnswer: q**(-209\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64560 and 29590?\nAnswer: 710160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -2\/33*x**3 + 2\/55*x**5 - 1\/11*x**2 + 1\/22*x**4 + 0*x - 28. Solve j(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198a (base 15) in base 4?\nAnswer: 31231123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26812.11 - 27049. Round u to the nearest integer.\nAnswer: -237","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2 - 53*y - 204. Let b be r(30). Solve -b*m - m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8237007 millilitres to litres.\nAnswer: 0.0008237007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*n = -7*k - 16, -3*n = -4*k - 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r + 6*q = -51*r + 6, 4*q - 16 = -5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m, 58 = -3*l + 2*m + 142. What is the remainder when 781 is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 15*x**3 - x - 1. Let l be n(-1). Let z be (l\/6)\/(-4 + 188\/48). List the prime factors of 1160\/z + (-1)\/(-3).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -534 + 1647 + u - 3*u + 1929 - 5426*u**2 - 124 wrt u.\nAnswer: -10852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 26*g**2 + 2*g + 26. Let c be q(-13). Let f be (-50)\/(-5)*(2 + c + -1). Solve 3*t = 8*t - f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let w(t) = -11*t - 4*t - 3*t + 13*t - 4*t. Give 3*c(a) - w(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10037, -10044, -10049, -10052, -10053?\n\"Answer: g**2 - 10*g - 10028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 7. Let f be b(-5). Suppose f*k - 84 = k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124211432111 - -1?\nAnswer: -124211432110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 8*x + 30. Suppose -x*b + 11*b = 17. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*f + 6 = k, 0 = -k - 4*f + 9. Suppose 0 = 5*s - 3*s - 10. Solve 3*j - 6*w + k = -w, s*j + 5*w + 15 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -36. Let t = -7 - u. Suppose 4*f + 2559985 = 2*w - 7*w, -3*f - t*w = 1919985. Round f to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**2 + 3*k + 3. Let w(h) = -h**2 + h + 1. What is -2*p(m) + 6*w(m)?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.357, 5\/3, -1\/2 in ascending order.\nAnswer: -4.357, -1\/2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -15 + (49 - 42) - (-3 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/120*(-25)\/(-85). Let s = 31\/204 + g. Which is the closest to 1? (a) s (b) 3 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 7584*i**3 - 14394408*i**2 - 57365440*i + 172369200.\nAnswer: -(i - 2)*(i + 6)*(i + 3790)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-2 - 1*(-2 + 1)). Let l(q) = -q + 6. Let k be l(u). Put -1, 5, k in descending order.\nAnswer: 5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1224770988 by -9708.\nAnswer: -126161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9e86 + 3?\nAnswer: 9e89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 11:18 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -57*l**3 - 6*l**2 + 6*l - 10. Let v(d) = 2*d**3 - d**2 + d - 1. What is b(z) - 6*v(z)?\nAnswer: -69*z**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1 + 2*q**3 + 3*q**2 - 1 - 3*q**3. Let m be j(2). Suppose -c = -3*y + 9, 3*c + 6 = m*y - 0*c. Let x(h) = h**3 - 2*h**2 - 3*h + 4. What is x(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1081515241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -4*f**7\/105 - f**4\/3 + 8*f**2. What is the second derivative of z(v) wrt v?\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3856357 to the power of 1\/2, to the nearest integer?\nAnswer: 1964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 4:58 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*w = 10. Let i = 0 - -4. Suppose -q = 3*u - i, 0 = -q + 3*q - 8. Solve u = w*t - 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1502 and 27.\nAnswer: -1475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000013197 rounded to 7 decimal places?\nAnswer: -0.0000132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -57?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 50 = -4*f - x, 0 = -2*f + 2*x + 30. Solve -4*v - f = -1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/9, 5, 46, -10, -0.16 in decreasing order.\nAnswer: 46, 5, 2\/9, 0, -0.16, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72*s**2\/5 - 13*s - 7\/5.\nAnswer: (s - 1)*(72*s + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from vvbbvvvvvtvfvbvf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**5\/2 - 2*w**4 - 2*w**3 + 3*w**2 + w\/2 - 1 = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 10:19 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 7*n + 7. Let p be x(-8). Let s = 2 + p. Let w = -1963 - -1968. Solve -d = 4*f + s, w = -f + d - 2*d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23427*m**3 - 139 + 21320*m**3 - 48759*m**3 - 21*m wrt m.\nAnswer: -24072*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 44551 - 44559 + 9*l**2 + 0*l - 7*l. Let y(c) = -17*c**2 + 12*c + 14. Let p(v) = -5*d(v) - 3*y(v). Calculate p(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-1705)*(-715)\/(-195).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10842.9 meters to nanometers.\nAnswer: 10842900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/32872995 and -67\/15.\nAnswer: 32872995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*g - 1798 + 1770 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128638.95 months in years?\nAnswer: 10719.9125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*b*w**2 - 275*b*w + 4*b - w**2 + 80*w + 47230302 wrt w.\nAnswer: -10*b*w - 275*b - 2*w + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-48)*8\/9\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -147 + 1685. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2129808.92 and -0.01.\nAnswer: -21298.0892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l + 2*l + 3*l + (-30 + 52 + 22)*(-6 + 6 - 4)*(1 + l - 1) to the form u*l + n and give u.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701519291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -665827.616 to the nearest one thousand.\nAnswer: -666000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 + 18*r + 1944. What is the tens digit of m(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + (-2989652)\/(-7) + 3\/(-21). What is d rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 290*m - 6878. Determine w(20).\nAnswer: -1078","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -456, -421, -370, -303, -220?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.03, -0.08, -17, 0.5, -0.134, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*x = 195 - 22899. Calculate the remainder when x is divided by 76.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*k = 99*k - 238*k + 179*k + 15750 for k.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/4, 0.01, -1\/2, -4, 3285, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 60*b + 498. Determine k(-50).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/2)\/(3\/129). Let l = n + -196. Let h be 50\/l - 158\/(-13). What is the highest common factor of h and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29777424 to the nearest one hundred thousand.\nAnswer: -29800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpwbpwh. What is prob of sequence bwr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 18 = 4*a. Suppose 3*i = 5*x + 65, 4*i + a*x = 3*x + 135. Let s be ((-3)\/i)\/((-6)\/(-8)). Sort 0.4, s, -0.2.\nAnswer: -0.2, s, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001010100434 rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 10 = -3*a. Let j be (-4 - -8 - a) + 0. Suppose 3*k = j*k - 1. Sort k, 4, 3 in descending order.\nAnswer: 4, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -3. Let s be (-105)\/(-14) - 1\/(-2). Suppose -4*b = 4*k + 12, -3*b = -s*b - 2*k - 9. Sort 0.4, b, z in ascending order.\nAnswer: b, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -228\/49 - 4463\/294. Let j be 223*-41*((-1600)\/132)\/20. Let r = 5543 - j. Calculate the common denominator of r and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -172*r + 29*r - 111 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.118 - 0.118. Let v = 1.9 + -2. Let m = v + 0.5. Sort i, m, -2\/3 in decreasing order.\nAnswer: i, m, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4520)\/648 - (-7 + 0). Is 0 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 361528?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 + 0*c**3 - 4*c**3 - 5*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + c - 3 + 0*c - 21*c - c + (0 - 3 + 1)*(3*c + 0*c - c))*(c**2 - 5*c**2 + 2*c**2)*(-16 - 35 + 85) to the form w*c + u + v*c**2 + y*c**3 and give y.\nAnswer: 1700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102341 - 402?\nAnswer: -103143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -6 - 15 - (-4 - -4)) + 4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -0.4, 417, 1?\nAnswer: 417","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 33 - 27. Let n be 11\/(-6) + k\/(-10). What is the nearest to n in -2\/5, 1\/9, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/22 + (-98)\/28?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 66*q + 2. Let t(o) = -68*o - 2. What is -3*t(k) - 2*x(k)?\nAnswer: 72*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - (-12 + 20 + -30).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20962781 to the power of 1\/2, to the nearest integer?\nAnswer: 4579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u + 69*u**2 - 178*u**2 - 7*u to the form t + j*u**2 + g*u and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -3*(-33)\/(-72). Do z and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 185 or 187?\nAnswer: 185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h + 17. Give z(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1. Put 14, 3, i in ascending order.\nAnswer: i, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-369)\/7)\/3)\/(-28*211\/41356).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*h - 362, 136 = 2*i + 2*h - h. What is the remainder when i is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -1344908929*m**3 - 1334053721*m**2 + 10833304*m - 21904 = 0?\nAnswer: -1, 148\/36673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/1260*-2702 - 22\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -6. Calculate the remainder when (-5)\/20*6*-10 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 31.725 and 1.52.\nAnswer: 33.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*q + 2434, 77*q = 78*q - 2*o - 601. What are the prime factors of q?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13113 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 8:08 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-20) - 12\/240*-2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 324*o**2 + 2537*o + 2852. Determine a(-316).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 29*r**2 + 8*r + 7. Is w(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 792700518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24195?\nAnswer: 3, 5, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2819038?\nAnswer: 2, 1409519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.06 + -0.06. Is w greater than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 8 - 8*n + 5.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkkoookbbkkbkkkfok. Give prob of sequence bo.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -2 (c) 4\/3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 76 = -4*j, 4*h - 2*j - 221 = 69. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*g + 1, 14*x - 9*x = 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7536, -30175, -67934, -120813?\n\"Answer: -7560*x**2 + 41*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -429.372 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/8*28*(-6)\/105. Let j be (-13)\/(-3) + 4\/(-12). Put -3, y, j, 5 in decreasing order.\nAnswer: 5, j, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 - 46 = 4*y. Suppose -d = -5*j + 8, 3*j = -4*d + 8*j - 17. Let m be 8\/d*y\/(-24). Solve 4*n + m*g + 8 = 0, -11 - 2 = n - 5*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(153) + 2 - 4*(sqrt(153) - (sqrt(153) - (0 + sqrt(153))))) + 1*sqrt(153) + 5 + 1 + (sqrt(153) - (sqrt(153) - 2*sqrt(153))) + sqrt(153))**2.\nAnswer: -96*sqrt(17) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (23 - 9)) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g + 0 - 4 + 4 + 9 + 2*g.\nAnswer: -7*g + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*j + 11. Let o be (-40)\/(-6)*(-12)\/(-10). What is the greatest common factor of j and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 6*u - 13. Let w be f(3). What is the highest common factor of w and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 11034271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -198*k. Let a be (69\/(-138))\/((-1)\/(-12)). Let w(x) = 25*x. Let r(n) = 46*n. Let f(d) = a*r(d) + 11*w(d). Calculate u(f(v)).\nAnswer: 198*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20692477691903\/4326 - -4783281966. Let q = 2\/2163 - m. Calculate the common denominator of q and (-227)\/(-66) + 4\/(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2097 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + sqrt(104)\/sqrt(8) + sqrt(52)\/(sqrt(8)\/sqrt(2))) + -3.\nAnswer: -27 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*p + 40, u + 2*p + 7 = 4*u. Solve h = -u*w - 30, 3*w + 2 = -13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 7:12 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**4 + 2979*f**3 - 741024*f**2 + 738048*f = 0. What is f?\nAnswer: 0, 1, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**3 - 532989*q**2 - 3*q + 532989 = 0.\nAnswer: -1, 1, 177663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 7. Let s be l(5). List the prime factors of 44\/16 - s\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 - 76 = 4*z - 0*z + 84 for z.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqoocqqqoquqxxu. What is prob of picking 1 q and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Let p = 19 + -17. Let h(g) = 0*g + g + p*g - g. Give h(k(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 523*w - 241*w - 1 - 3 - 273*w. Let s(v) = 4*v. What is m(s(q))?\nAnswer: 36*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 156*x**2 - 15*x + 265. Is k(-26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 11, -129289 in decreasing order.\nAnswer: 11, 0.3, -129289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008621189 rounded to six dps?\nAnswer: -0.000862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*y + 61*y = -192 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 - 4143*j + 29087. Determine a(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((6*(-5 + sqrt(200)*-2 - sqrt(200)) + 3 + sqrt(200) + sqrt(200) + 2 + sqrt(200) + -1)**2 + 3).\nAnswer: -228395 - 39000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1321 times -34.234?\nAnswer: 45223.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51.29 - 1.71. Let j = b + 57. What is the nearest to -2\/7 in -11, 2\/11, j?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 1:36 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 4)*(1 + 1 - 3)*(-4 + 4 - 6*y**3)*(-6 + 1 + 4).\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 27. Suppose -z*h + 14*h = 20. Determine s so that -2*s**5 - h*s + 0*s**3 + 6*s**3 - 3 - 3*s**4 - s**5 + 6*s**2 + s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*o + 9399 = 158*o - 10762 - 4655 for o.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s. Let m be 0 - (-2 + (4 - 16)). Let u be 16\/m + 8\/(-56). Let n(h) = -1 + u + 19*h - 16*h. Calculate n(b(c)).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*o. Let k(z) be the first derivative of -1 - 1\/2*z**2 - 16*z. Calculate k(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-1 - 2 - 8)*(3*n - 4*n + 3*n) in the form g*n + b and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23 in 76\/897, 5, -0.3, 2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -355 and -0.3.\nAnswer: 106.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 56*o**2 + 125*o + 74. What is the hundreds digit of l(-59)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -556 - -301. Let l = 2803\/11 + i. Which is the nearest to -0.6? (a) l (b) 1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -273 by 6.\nAnswer: -91\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z - 4. Let i be t(3). Let n = -13 - i. Let s = 1 + 2. What is the greatest common divisor of s and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100734*t + 100734*t - 74*t**2)*((7 - 3 - 2)*(-5*t + t + 2*t) + 0*t - 2*t + 4*t).\nAnswer: 148*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 8:38 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(4*sqrt(150)).\nAnswer: sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 0.2, 6, -3, 0.5 in decreasing order.\nAnswer: 6, 0.5, 0.2, 0.07, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 - (23 + 96 - 55).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 3024403.\nAnswer: -64\/3024403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14\/11, 0.75, 4, 5?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -374*q**2 - 2*q. Let l(i) = 4*i. Determine l(y(m)).\nAnswer: -1496*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 26*c - 9. Let l = -715 + 696. Let m(u) = 8*u - 3. Let v(x) = l*m(x) + 6*i(x). Calculate v(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:50 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:48 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 18, 3.2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-34561)\/(-4) - 21\/(101 + -17) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -3*b**7\/14 - 17*b**4\/12 + 13*b. What is the third derivative of w(v) wrt v?\nAnswer: -540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/((-4)\/64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.125 + -3.4213. Round b to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x = -9*x - 40 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - n**2 - 5*n**2 + 9*n**2. Suppose -u - 1 = -2*u. Let g(j) = -1. Let z(p) = p + 1. Let h(b) = u*g(b) + z(b). Give h(s(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50453661?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1934444*a + 5309541 wrt a?\nAnswer: 1934444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5912\/2535 - 1\/845. Which is smaller: h or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111000111101 (base 2) to base 16.\nAnswer: -e3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 9. Let f be o(-11). Let h be 1\/20 + f\/10. Is -1.3 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 + 6 + -3 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 112*d**3 + 419*d + d**2 - 314*d**3 + 0*d**2 - 390*d**3 - 421*d in the form j*d**2 + x*d**3 + z + l*d and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2595 rounded to 3 decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l)**46)**(-15) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -4b04?\nAnswer: 4aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 15*t + 6 + 42 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*j**5\/5 + 54*j**4\/5 - 198*j**3 - 174*j**2\/5 + 2808*j\/5 + 1944\/5 = 0. Calculate j.\nAnswer: -18, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.28551948 to four decimal places.\nAnswer: -1.2855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -1 - 64543*a**2 - 1 + 6 - a. Let i be k(-19). Round i to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1690, 1708, 1726?\nAnswer: 1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/((-2)\/(-1 - -3)). Let i be ((-3)\/(-2))\/(w\/(-2)). Sort -5, i, 0 in descending order.\nAnswer: i, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p + 137810 - 137522 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 10. What is the tens digit of 10 + f + 16 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**2 + 3. Let n(b) = -17*b + 2. Let u be n(1). Let v be 4\/10 + (-24)\/u. Is 19 a factor of m(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 4*s + 18. Let p be 1\/2 + 17\/(-2). Let i = p - s. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - i + 1. Let u(m) = 18*m**3 - 14*m + 12. Let r(n) = -12*p(n) + u(n). What is the second derivative of r(a) wrt a?\nAnswer: 36*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-8)\/1 + ((-16)\/(-24))\/((-28)\/105)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 43*1410\nAnswer: 60630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26.91 * -313\nAnswer: 8422.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 533\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from ghhbbg?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + (26 - (10 - -9)) - 7) + 1 + -46.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -882\/11 - 2396\/11*m**2 - 2\/11*m**5 - 2562\/11*m + 78\/11*m**4 - 636\/11*m**3 = 0.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28004427 to the power of 1\/2, to the nearest integer?\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 162*a - 134 - 153 - 160*a.\nAnswer: 2*a - 293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 313 + -311. What is the nearest to a in 0, -2, 3, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2840 times -340?\nAnswer: 965600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-22)\/(-10))*20\/8. Let o be (d\/(-6)*2)\/((-2)\/(-12)). What is the hundreds digit of 1\/(30\/4098) + o\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20020223 + 10?\nAnswer: -20020213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6367 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0041 + -9875?\nAnswer: -9874.9959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 275*j**2 + 28*j + 56. Is i(-2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046195 is divided by 149380?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -43. Let a be -4 + (-5)\/5 + i. Let h(c) = 2*c**2 + 2*c + 1. Let v be h(3). Solve 0*j - a*j = v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7773765006.063 + 0.4?\nAnswer: -7773765005.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 2 - 1)*(-1 + 1 - 2) + 0 + 4 - 3)*(5146 + 3*b - 5200 - 4*b)*(-49*b**2 - 31*b**2 + 13*b**2).\nAnswer: -201*b**3 - 10854*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from vrrfvrrrrrrrvrrvrvv?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3230*v + 2815*v - 6025*v.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 837 + -834. Solve 0 = s*l - 12*l - 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(175\/(-15)) + 7\/(-5). Let v(y) = -7*y - 3. Give v(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28497395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 24*n + 4. Let m be (-1)\/(-1)*(-140)\/(-28). Let g(q) = -47*q - 7. What is m*w(o) + 3*g(o)?\nAnswer: -21*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f**2\/5 + 96*f\/5 - 36\/5 = 0. What is f?\nAnswer: 6\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 8 = 4*l. Let s be 4*(3 + 2 + l). Suppose 0 = 4*f - 0*f - s. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiqwwwwi. What is prob of picking 3 w and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 + -94. Solve d - 3 = a*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -940138*z**4 + 334494.\nAnswer: -3760552*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236574 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12974 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034376563521 to seven dps.\nAnswer: -0.0034377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21\/163 or -40?\nAnswer: 21\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54806 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:38 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l + 25. Let s be c(10). Let n = s + -24. Suppose 5*q - n = -6. What is the remainder when 17 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - 3*f**3 + 5*f**3 + 0*f**3 + 3*f**3 - 2*f**3 + (-2*f + 3*f - 3*f)*(2*f**2 + f**2 - f**2))*(6 - 6 - f).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/3 - 128*v**2\/3 - 134*v\/3 + 260\/3 = 0. Calculate v.\nAnswer: -2, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*m**4 + 2*m*x + m + 2*x + 1329 wrt m.\nAnswer: 116*m**3 + 2*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2986780022\/1265147 + 320709\/4121. Let u = -2283 - g. Let p = 628\/2149 + u. Which is the closest to p? (a) 3 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -7, 0.4, -1\/2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 12 + -3 + 13 + -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38461 is divided by 123?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115810 and 370.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 543606*c**3*i*q + 21*c**3*q - 239*c**3 - 2*c**2*q - c**2 - 4*c*q with respect to i.\nAnswer: 543606*c**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005722035319 rounded to six dps?\nAnswer: -0.005722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-5\/4)*c))\/(c*c**6))**(-6\/35)\/(c*c\/c**(-2)*c*c*(c\/c**(6\/5))\/c)**10 assuming c is positive.\nAnswer: c**(-3249\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1155 = -4*y + 11, y - 2*b = 299. Let h = 299 - y. What is the remainder when 77 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)*z**(-2)*(z\/((z**(6\/5)\/z)\/z)*z)\/z*z**0)**(-7) assuming z is positive.\nAnswer: z**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.1 (b) 11 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 8*v - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -174*a - 753. Determine x(-5).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 3*b + (5 - 4 + 1)*(-4*b + 2*b + 3*b) - 531 + 531 + 63*b.\nAnswer: 68*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - h**2 + h + 43. What is s(0)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (((-60)\/14)\/((-264)\/1232))\/((-16)\/(-32))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.31 (b) -30 (c) 2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6384 and 61856970.\nAnswer: 494855760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*g = 130*g + 4136. Let m = -376 + g. Solve -9*v = 6*v - m*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 9*c + 4. Let f be k(-9). Suppose f*x - 11*x + 119 = 0. What is the remainder when 49 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 404000 rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9853, -0.5, 0 in descending order.\nAnswer: 9853, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-20) + -2*93\/24. Is (-8487)\/v + ((-24)\/42)\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 20*j + 3. Let a(v) = -13*v**2 + 4. Give q(a(t)).\nAnswer: -260*t**2 + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164 and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 184753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 166297, 166294, 166289, 166282, 166273?\n\"Answer: -d**2 + 166298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4062, -4407, -5380, -7305, -10506?\nAnswer: -15307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**3 + 16*d**2 + 35*d + 70. What are the prime factors of u(17)?\nAnswer: 2, 11, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**4 + 41*m**3 - 477*m**2 + 1159*m - 722 = 0?\nAnswer: 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2321, -18383, -61973, -146849, -286769, -495491, -786773?\nAnswer: -1174373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -4*z + 27, 36*a - 117*a + 32 = 4*z - 77*a for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1311 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 11:16 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 6*v)*(2*v - v - 7*v).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 136 = -12*j. What is the least common multiple of j and 8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 125041950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1330 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 6) in base 7?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374433?\nAnswer: 3, 19, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0 - 8. Suppose 3*o = l*n - 458, -n = 3*o - 11 - 96. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, x: 2, u: 1, a: 9}. Give prob of picking 1 u, 2 x, and 1 a.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*m + 3 = -2*y, 4*y = -12. Solve m*c - 6*c = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 >= -301\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a factor of 4537764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Suppose -4*k - 2*n + 5*n = -514, -2*k + 258 = -m*n. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -25*u. Let h(w) = 12*w + 9*w + 19*w + 8*w - 54*w. Give h(b(f)).\nAnswer: 150*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1. Let f(v) = 6*v + 13. Let h(i) = f(i) - 6*s(i). Let a(p) be the first derivative of -1 - 7\/2*p**2 - 8*p. Give -5*a(j) - 6*h(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 c when four letters picked without replacement from vvcvc?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*k = k + 236, 3*m + 5*k = 169. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-2*sqrt(432) + sqrt(432))*-5 - ((-2*sqrt(432)*-1)**2 + sqrt(432) + sqrt(432))*1)*1.\nAnswer: -1728 + 516*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 38*b + 0 - 50*b as v + t*b and give t.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*o + 0*o - o)*(-16 + 19*o + 12 + 6 + 0*o - o + 3*o + (-3 + 2 + 0)*(-1 - o + 1))*(5 - 5 + 3*o) to the form v*o**3 + s*o**2 + g + l*o and give v.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 5*l**2\/2 - 1. Let b(z) = -3. Let m(x) = 2*x - 1. Suppose 406 - 421 = -5*c. Let n(f) = c*m(f) - b(f). Give n(i(g)).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130*p - 258*p**2 - 40*p + 95*p**2 wrt p?\nAnswer: -326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**38*(t\/(t\/t**(-7\/2))*t)\/t)**(-21) assuming t is positive.\nAnswer: t**(-1449\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s + 10*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 2*r + 7. Let n(j) = j**2 + 3*j + 8. Let w(q) = 6*n(q) - 7*y(q). Let z(u) be the first derivative of w(u). What is z(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10362.92 times -0.4?\nAnswer: -4145.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8385 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ts when two letters picked without replacement from {s: 3, t: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5005 + 4?\nAnswer: 5009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -57c505 + 20?\nAnswer: -57c4b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14610?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/38 in -2\/3, -0.11, -9?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/3 - 2. Suppose 2*f = 10, 4*q - f = 121 + 66. Let d be (-4)\/6*18\/q. Which is the third smallest value? (a) -0.1 (b) d (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/44 + -49\/220. Let h = -2.5 - -2.5. Which is the biggest value? (a) h (b) 0.9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 8*n - 12. Let c = 15 + -25. What is the units digit of y(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 561738 is divided by 80199?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i = -5*z + 88*i - 49, -4*z + 4*i = 40 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 8*s + 5. Let o(p) = 237*p - 14. Let a(q) = 158*q - 9. Let n(x) = -8*a(x) + 5*o(x). Let y be n(-1). Suppose 7*j + 2*j = y. Give v(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 - 3*b - 40 - 3*b**3 + 8*b**2 + 39 + 4*b**3. What is o(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 4788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 3045?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 19*t + 20. What is c(-17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*16\/(-6). Solve 0 = -g*c + c + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46819 - 3.8?\nAnswer: -46822.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97414.38 + -2497.\nAnswer: 94917.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = y + 145, 0 = 2*u + 3*u - 5*y - 255. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 5\/6, 0, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 20 = -0*w, 4*w = u - 31. What is the highest common divisor of u and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18077 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4090, -16345, -36760, -65329, -102046, -146905?\n\"Answer: p**3 - 4086*p**2 - 4*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -410213\/115 + 3567. Find the common denominator of q and 23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 2*h**2 + 6*h + 15. What is d(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140 + 129. Let y = 208 - m. What is the remainder when y is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.242*0.5\nAnswer: 0.121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + k**3 + 2*k**3)*(152*k - 6*k + 311*k).\nAnswer: 914*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22980 times -367?\nAnswer: -8433660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 482 + -480. What is the nearest to 0 in 4\/7, -0.4, -4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161485, 322982, 484479, 645976, 807473, 968970?\nAnswer: 1130467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 41115\/6 - (3 + (-66)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*0.06.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010168148 rounded to the nearest 1000000?\nAnswer: 1010000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24533019 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 33*q + 32*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 3. Let f be m(12). Let o = -4 - f. What is the remainder when o is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -1010100101?\nAnswer: 1010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**4 + 319*s**2 - 319*s**2 + (0 + 0 - 2*s**2)*(-3 - s**2 + 3).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 6\/6 - (-1 - -1). Suppose 10 = t*a + d, d = 5*a - 3*d - 28. Solve 4*h + 8 = a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63333343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 13872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -146 - 1854a?\nAnswer: -18694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10142 - 0?\nAnswer: 10142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524438 is divided by 15891?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -k - 3*d, -5*k - d + 2*d + 25 = 0. Factor -6*o**2 + 3*o**5 + 3*o**4 + 6*o**3 - 9*o + 0 - 3 + o**4 + k*o**4.\nAnswer: 3*(o - 1)*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15141?\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-4*(sqrt(448) + ((-1*sqrt(448))**2 - sqrt(448))).\nAnswer: -7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10622 - -10945. What is the greatest common divisor of 1632 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 12768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 23\/3. Let y be (-4)\/(-18) + (-68)\/(-18). Which is the closest to 0.1? (a) -4 (b) y (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/212 and -49\/48.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -2*s. Let a = s - 0. Suppose y + 0 - 4 = a. Solve y*l = -6 + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1691*a + 1771*a - 880 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 242 - -1. Let d(g) = -6*g + 3. Let w be d(-4). Calculate the highest common factor of o and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - 5. Calculate the remainder when (-394)\/(-8) - (-1)\/(-4) is divided by g\/(-3) - 4\/(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/18 and -65\/1773?\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 143, 513, 1127, 1985, 3087, 4433, 6023?\n\"Answer: 122*z**2 + 4*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -22005339?\nAnswer: 22005339.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2.5 (b) -3\/4 (c) -0.1 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -189787\/446094 + -4\/8261. Calculate the common denominator of z and 25\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 572 (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/5 - 162651*r\/5 + 325298\/5 = 0. Calculate r.\nAnswer: 2, 162649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 182\/18 + 7\/(-39 + -24). Solve -4*j = -8, 12*k + 3*j = h*k + 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3788 - -3788.00009649. What is j rounded to 6 dps?\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**11*b\/(b*(b\/(b**(1\/4)\/b*b)*b)\/b)*b)\/(b\/(b\/(b*b\/((b\/b**(1\/10))\/b))))**(-2\/89))**(-4\/5) assuming b is positive.\nAnswer: b**(-23669\/2225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-605)\/88)\/(-11)*-8. Sort w, 1, 29 in increasing order.\nAnswer: w, 1, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -36.9 and 26619.\nAnswer: 26582.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2 - 309*r - 614 = 0. Calculate r.\nAnswer: -307, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185814, -490, -2 in descending order.\nAnswer: -2, -490, -185814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -1 - 4. Factor x*d**2 - 5*d - 3*d**2 - 15*d - 7*d**2.\nAnswer: -5*d*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeggegyyyygyy. Give prob of sequence geg.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**4 - 3982*f**3 - 3986*f**2 + 3982*f + 3984 = 0. What is f?\nAnswer: -1, 1, 1992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -33290346 <= -166451733\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*u**2 - 2*u + 2*u + 7 - 136*u**2 in the form m*u + q + v*u**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4940)\/7410)\/((-2)\/228).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-4)*(-48)\/(-18). Let i(d) = d + 5 - 5 + r - 3. Let b(x) = x**2 - 4*x - 5. Let h(q) = 4*b(q) + 20*i(q). Find the second derivative of h(y) wrt y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-141)\/(-282)*(-3)\/(-9)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orz when three letters picked without replacement from ccovzvzcvrvczzc?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 92633.37 centimeters in nanometers?\nAnswer: 926333700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 + -42. Let x = z + -33. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149105, -149099, -149091, -149081, -149069, -149055?\nAnswer: -149039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2115.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 2*a = 12*w - 698, a = 5*w - 1793. What is the lowest common multiple of 1581 and w?\nAnswer: 11067","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 18*b - 4. Suppose 321 = -12*l + 3945. Calculate the remainder when l is divided by p(-5).\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271613 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -33*w**3 + 3*w**2 + 5*w + 7. Is z(-2) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 176, 0.23, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 42. Let h = l + 24. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 11:10 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2545 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47473 or -47475?\nAnswer: -47473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13464 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.68.\nAnswer: 0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + o. Suppose -7*l - 40 = -33. Let z be ((-12)\/(-6) - 3)*(l - 2). Which is the nearest to 2\/5? (a) -1\/3 (b) o (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 28*x**2 + 2 - 2*x + 27*x**2 + x**4 to a*x + d + k*x**2 + c*x**3 + g*x**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2772801499 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 7:07 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 - 23*q**2 - 21*q**2 + 24*q**2.\nAnswer: -20*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 2\/3*q**3 + 2 + 0*q**4 + 0*q**2 + 8\/5*q**5 + 0*q. Find the third derivative of i(f) wrt f.\nAnswer: 192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2275077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 18*l - 25. What is o(19)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - -3. What is the units digit of (-64)\/(-10) + c\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9 (b) 0.5 (c) 0.2 (d) 119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -2*p**6\/3 - 8*p**5\/5 + 5*p**4 + 40*p**3\/3 - 8*p**2 - 32*p - 725. Find v, given that n(v) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 4 + -12 + 19 + -4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1178327720 divided by 2.\nAnswer: -589163860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113197.8 + 128690. Round x to the nearest 100.\nAnswer: 15500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1382956087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 179837291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*h - 15*h - 165 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9991\/7 - 1427. Which is the closest to 0? (a) 1.1 (b) t (c) -4\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and -754.\nAnswer: -22.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 3*q - 2. Let k be n(4). Suppose 0 = c - k*c + 15. Suppose -5*m + 5*p + c = 0, 2*p = 5*m - 2*p - 15. Solve 0 = 4*t - 7*t + m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0, -828, -0.6, 4, 4\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5046, 10104, 15162?\n\"Answer: 5058*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 34*h**2 - 59*h + 92. What is j(32)?\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 3*i + 4*i)*(2*i**2 - 5 + 5)*(-1 - 5 + 4) + 2*i - i**3 - 2*i.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**5\/4 + 29*l**4\/4 - 29*l**3\/4 - 193*l**2\/4 - 42*l - 9 = 0?\nAnswer: -1, -1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2494053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {k: 5, p: 14}.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*y - 5, -3*w + 3*y = 801. Let n = 270 + w. Let k(j) = j**3 - 9*j**2 + 9*j - 2. Give k(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.2528818 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2*d**2 - 4*d**2)*(-23944*d - 13 - 9535*d + 13).\nAnswer: 33479*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (16*8\/(-28))\/((4800\/280)\/120)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*n + 6*n**2 + 7*n + 14*n**2 - 2*n - 7*n**2 as v*n + r*n**2 + y and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 628 and 0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let i(d) = -1554 - 12*d + 1561 + 0*d. What is i(f(x))?\nAnswer: 12*x + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 5*m. Let w(u) = 2*u**3 - 4*u. Let x be ((-102)\/68)\/((-4)\/(32\/(-3))). Suppose 0 = -4*n, -3*v + 0*v + 3*n = -15. Give v*w(k) + x*d(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/9 + 32*r**4\/9 - 146*r**3\/9 + 4*r**2 + 72*r + 48.\nAnswer: -2*(r - 6)**3*(r + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -606, -5.\nAnswer: -606, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(13)*1)**2 + (sqrt(6292) - (sqrt(6292) - (sqrt(6292) - (sqrt(6292) + sqrt(6292) + sqrt(6292)*-1)))**2))*-1*5.\nAnswer: -210*sqrt(13) + 31035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggveeesdggeenended. Give prob of picking 1 v and 2 g.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-4 - -3)*2\/(-12)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -413 by -139415.\nAnswer: 413\/139415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 179 - 177. What is the smallest common multiple of l and (-2)\/1*(-23 - 1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8.9*-29\nAnswer: 258.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -8. Let y(v) = 5 - 1 - 3 - v**z. Let i(u) = 6*u**3 - 8. Give -i(l) - 8*y(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -106*i + 17982. Give b(176).\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cecceececeeeeeecee. Give prob of picking 2 c.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2060552162 + 3?\nAnswer: -2060552156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - (sqrt(52) + sqrt(260)\/sqrt(5))) + -4 - (sqrt(7488) + -1))*3.\nAnswer: -78*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 782710 and 239308?\nAnswer: 3229461460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 10 = 10*b. Suppose 117 = 3*w - 3*z, -b*w + z = 2*w - 144. Suppose -w = y - 2*y. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4940 is divided by 581.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.192895774 plus -0.04?\nAnswer: -2.232895774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2565)\/1100 - (-2)\/5. Let l = -35\/11 - q. Which is the nearest to -2\/7? (a) l (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 23272*h - 23288*h + 7 - 5 - 4. What is w(5)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19, 37, 69, 121, 199, 309?\n\"Answer: j**3 + j**2 + 8*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27, -38, -53, -72?\n\"Answer: -2*g**2 - 5*g - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 56*j**3 + 2*j**2 + 2*j - 2. Let i(v) = -224*v**3 - 8*v**2 - 9*v + 9. Give -2*i(d) - 9*q(d).\nAnswer: -56*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - ((-3 - 1) + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 5*c - 3*c)*(-2*c + 2*c - 2*c) + 20761*c**2 - 20451*c**2 - 31427*c**2 - 22127*c**2 - 14996*c**2.\nAnswer: -68238*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -264, -524, -786, -1050, -1316, -1584?\n\"Answer: -c**2 - 257*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 15*o + 10. Calculate l(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 911 = -3*f + 126, -l - 1370 = -4*f. Which is smaller: f or 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43172.1412877 - 34.\nAnswer: -43206.1412877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmca when four letters picked without replacement from {c: 3, z: 3, m: 1, a: 2, w: 3, r: 3}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 (base 6) in base 8?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0135629262 rounded to 6 decimal places?\nAnswer: -0.013563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -78.6?\nAnswer: 75.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 16 - 11 - 3) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2778.49581 rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1816207 (base 11) to base 6.\nAnswer: -150024233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3\/4, -14\/13, -27805, -0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13892 + 13892. What is the second biggest value in -21, -2\/25, t, -158?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 x, and 1 t when four letters picked without replacement from uhxuxhumstmhx?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 16 + 80)*(-3*t + 3*t + 2*t) + 2*t + 2 - 2 - t + t + 3*t.\nAnswer: 83*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shlrrrlaarlsasryl. What is prob of sequence ry?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2483330.\nAnswer: 2, 5, 103, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 217545989 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38646, -38968, -39496, -40230?\nAnswer: -41170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-2)\/(-5) - (-1271)\/310). Which is the nearest to 1\/5? (a) u (b) -0.4 (c) 0.3 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwwwwwwrw. Give prob of picking 2 w.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (-594)\/(-36))\/(6\/(-4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 9 + 33 = 0. Let i(v) = -2*v**3 - 10*v**2 - 8*v - 9. Let g be i(o). Suppose -g - 4 = -b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 38*u**2 - 18. Let j be v(-19). Which is the nearest to -0.1? (a) 3 (b) j (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1831 - -1824. Let q(p) = -7*p**3 - 5. Let b(y) = -10*y**3 - 7. Calculate o*q(h) + 5*b(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.250000882 + -4.25. Round i to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**6\/15 + c**5\/4 - c**4\/12 - c**3\/3 + 8*c. Suppose m(y) = 0. What is y?\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343)*-4 - sqrt(7)) + sqrt(7)*4*-5)**2.\nAnswer: 16807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/7743840 and 111\/1190.\nAnswer: 54206880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-474)\/(-16) + (-6)\/(-16). What is the greatest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 14*g + 45. Let x(r) = -15*r**3 + 77*r**2 - 12*r + 27. Let f be x(5). Calculate c(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 776 + 776.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4111.919 microseconds?\nAnswer: 0.004111919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102677?\nAnswer: 102677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l - 15. Let s(f) = -f + 16. Let a(k) = -7*s(k) - 6*z(k). Give a(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/28432 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-4)*4\/5 + -5\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4647 + -3198. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - w = -26 - 28, f - 18 = 2*w. Calculate the highest common divisor of 52 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751981?\nAnswer: 41, 18341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 + 98. Suppose 484 = 3*s + i, s - 195 = v*i - 25. What is the greatest common factor of 18 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 - 5.12. Let p(y) = -4*y - 1. Let j be p(-1). Suppose -3*m + j = -9. Which is the nearest to 0.1? (a) d (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*o**2 - 969*o**2 + 318*o**2 + 312*o**2.\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56.3? (a) 0.1 (b) 0.2 (c) 1\/4 (d) 2 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541327, -1082747, -1624167, -2165587, -2707007, -3248427?\nAnswer: -3789847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u**2 - 623*u + 549. Let z be w(76). Solve 5*o + z = 5210 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*-7 + (5 - (-1 - -3)). Let w(u) = -3*u + 1. Let q be w(z). Solve g - 2*r = q, -15 = 2*r + r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, -0.5, -3.5, 3 in descending order.\nAnswer: 66, 3, -0.5, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13165 + -13032. Suppose 0 = -7*v + 4*v + 84. Calculate the remainder when t is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Let y(d) = 16*d**2 - 5*d + 19. Let v(o) = 3. Let s(f) = -3*v(f) + y(f). What is the hundreds digit of s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**5\/20 - k**4\/12 + k**3 - 3*k**2\/2 + 339*k. What is c(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3, -y - 3*m - 13 = -2*m. Let u = 13 + y. Suppose -t + u = -3*q, 1 = -2*t - t - q. Solve 0*l - 15 = 2*l - 3*c, t = -4*l - 4*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 106*s - 32?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4742\/10 + (-2 + 9)\/(-35). Let j = m - 261. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19424 != -19423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1482, 2969, 4466, 5979, 7514, 9077?\n\"Answer: z**3 - z**2 + 1483*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8064*b**2 - b + 2. Let r(k) = 11*k. Calculate r(l(p)).\nAnswer: -88704*p**2 - 11*p + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 156178 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2258413466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -254 (base 6) to base 13\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 4 + 0)*(-2*k - 3 + 3) + 2*k - k + 2*k)*(17 - 17 - 2*k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 20. Suppose 6*x + 2*x = -352. Let l be 16\/(-24) - (-2 - x\/6). Which is the third biggest value? (a) u (b) l (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41668*o + 41870*o = 13938 for o.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161853.\nAnswer: 3, 53951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q + 1503 = 24*q. Suppose 3*j = 4*j - q. What are the prime factors of j?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 26500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 19 - 18*n - 11 - 7. Is p(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18710361 is divided by 13355.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/2)\/((-81)\/18 + 4). Let -1\/2*m**g - 5\/6*m**2 + 2\/3 + 2\/3*m = 0. Calculate m.\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r + 12. Suppose 2*s + 2 = -4*d + 2*d, 11 = -s - r*d. Factor 40\/11*h**s - 2\/11*h + 0 - 16\/11*h**5 + 14\/11*h**2 - 36\/11*h**3.\nAnswer: -2*h*(h - 1)*(2*h - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*s + 468, 0 = -4*y - 4*s - 0*s + 916. Suppose -b + 8*b = y. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62809.\nAnswer: 107, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 10. Let m be k(-10). Let j = -15 + 20. Put 0.1, m, j in descending order.\nAnswer: j, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (82 + -87 - (-1 - 0))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 3:04 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h + 25. What is p(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23846593?\nAnswer: 23846593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 8*w = 4*h - 18*w + 48, -h - 13 = -5*w for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z + 14. Let a be c(16). Let k = -81 - a. What is the units digit of (166 + -1*3\/1)*k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -371.\nAnswer: 148.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14)\/(3\/3*-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1103, 2171, 3187, 4121, 4943?\nAnswer: 5623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 70591 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*v + 10, 5*w = -0*w + 5. Let s be (0 + v)*-2 + 3. Calculate the highest common factor of s and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 - 93. Let o be (1 - -2) + (-10 - r). Let k be (-12)\/o*18\/8. Which is the closest to -2? (a) 0 (b) k (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 0 + 2\/7*j**3 + 2\/7*j + 4\/7*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -1. Let y = -64 - -66. Solve -y = -a*i + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 9, 6*l - 2*l - 24 = -3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + (-4 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*h + 454*h - 174*h + 44*h.\nAnswer: 666*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*p - 2*p + 9 + 5*p - 13 wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -5*g - 70, -4*g = -4591*n + 4588*n - 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*g + 1282 - 418 = 0. What is the highest common factor of 1998 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3033 - 4?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55082019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**4\/6 - 60*z - 37. Let b(v) be the first derivative of h(v). Let l(f) = -9*f. Determine l(b(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 15 - (0 - -2). Let o be (15\/(-12))\/((-1)\/u). What is the second smallest value in o, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7)*q\/(q*q*(q**(1\/6)\/q)\/q*q*q*q))**(19\/3)*((q**(-2\/3))**(-2\/13))**(2\/31) assuming q is positive.\nAnswer: q**(-604567\/50778)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a + 173. Let c be b(-46). Calculate the greatest common divisor of c and 665.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9 - 4*k + 4*k**3 + 2*k - k**3. Suppose -15 + 495 = 16*u. Suppose 33*w = u*w + 9. Let c(j) = -j**3 + j + 4. What is w*i(r) + 7*c(r)?\nAnswer: 2*r**3 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -12) + 9 + 0 - (-15 + 2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + -7 + 0 + 0. Let v(n) = n**3 + n**2 - 23. What is v(h)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*d - 224*d + 40*d as o + m*d and give m.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (18 - (6 - -7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/564*-811 + 2\/3 - -3. Is g > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 4 (c) -2 (d) -38 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 368479*a**2. Let f(g) = 3*g**2. Calculate f(q(u)).\nAnswer: 407330320323*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(189) - 1*(sqrt(189) + sqrt(189) + -2*sqrt(189))))\/(-2*(sqrt(175) + 2*sqrt(175))))**2.\nAnswer: 27\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -231355\/18 - -12858. Let g = -31 + 22. What is the common denominator of (38\/44)\/(3\/g) and b?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4160 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680729313.\nAnswer: 3, 11, 67, 499, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866078?\nAnswer: 2, 31, 61, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3 + 1073*c - 5 + 2140*c as g + y*c and give y.\nAnswer: 3213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*d**4 + 16*d**3 - 2*d**2 + 317*d - 9139406 wrt d?\nAnswer: 20*d**3 + 48*d**2 - 4*d + 317","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -244*r + 20. Let k(u) = 81*u - 7. Determine -5*g(n) - 14*k(n).\nAnswer: 86*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -1 + -6 + 10 - 0) + -11\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 27 = 6*j - 7*j, 3*j + 6 = 0. Solve -37 = r*n - 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*d**2 + 164 - 163 + 4*d**2 to the form u*d**2 + g + q*d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12966392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353732 a multiple of 578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10752 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -30454718 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 572*a - 1798 + 12666 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -688, -1373, -2048, -2707, -3344, -3953, -4528, -5063?\n\"Answer: z**3 - z**2 - 689*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u - 282890 = 19*u - 765578. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 11\/2)*(24\/20 - 0). Solve 5*o - 9 + 17 = 3*i, i + 16 = -f*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1133 (b) 8\/17 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2289, 76\/7, -35\/6?\nAnswer: 76\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 2, -1 in decreasing order.\nAnswer: 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 40 - (59 - (142 - 64))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.5 + 10. Sort 1, -3, -4, c in decreasing order.\nAnswer: 1, c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7*t - 160 = 0. Let g be (3 + (-27)\/6)\/(15\/t). Solve y = 5*y - g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14132 divided by 1119.\nAnswer: -14132\/1119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**3 + 2. Let d(n) = 5*n**3 + 2. Suppose j - 3*c + 19 = 0, 1 = -5*j - 3*c - 4. Give j*z(k) + 5*d(k).\nAnswer: k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000996003 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + o. Let w(p) = -5*p**3 - p**2 - 4*p - 6. Determine -4*g(u) - w(u).\nAnswer: u**3 + u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.1 times -0.3?\nAnswer: -14.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323847?\nAnswer: 3, 35983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327573?\nAnswer: 3, 17, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/100 - -7)*(-5)\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2.02, 17\/3, 133, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + (7 - (-13 - -20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5284*u**3 + 2959032*u**2 + 414261120*u - 627200 = 0. Calculate u.\nAnswer: -280, 2\/1321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*a*b*k - 4*a*b - 44*a + 4*b + 17*k wrt b?\nAnswer: 7*a*k - 4*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*c = 1341*c + 2 + 10 - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 11*u + 5. Let g be -9 + 4\/(-1 + 3). Let k be i(g). Let d = 34 + k. Calculate the highest common divisor of 99 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*y - 108*y - 108*y - 116*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(612) - (sqrt(170)*-4 - sqrt(170))\/sqrt(10)) - (-3 + 1 + sqrt(425) - (sqrt(1700)*-2 + 5)))**2.\nAnswer: 1558*sqrt(17) + 28938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 2240, 3, -3, -171 in ascending order.\nAnswer: -171, -3, -1, 1, 3, 2240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779830 a multiple of 335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llgubzugvgvubbvu. Give prob of picking 2 g, 1 l, and 1 u.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 71 + 50 = 0. Let g = -0.21 - -4.21. Which is the smallest value? (a) 0.01 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 292 and 230 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18423909 and 1935.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12719 and 0.1?\nAnswer: 1271.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5744823 is divided by 1914938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -191*h - 28274. Calculate s(-148).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -155633840, -155633843, -155633846, -155633849?\n\"Answer: -3*u - 155633837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 96090 - -119856. Suppose 189954 + p = -9*z. Round z to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1356, -1351, -1346, -1341?\nAnswer: -1336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37277042 <= 37277044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/(-6))\/((-28)\/84) + -5. Solve -3*i + 20 = -f*s, 36 = -5*i + 9*i - 5*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31548 and 539?\nAnswer: 1545852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.297*-19.5\nAnswer: -5.7915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3, -2.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -266 (base 11) to base 5.\nAnswer: -2224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**3 + 11*a**3 - 77*a**3 + 20*a**3 + 29*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*a = 357*a - 705*a + 14. Suppose -3\/4*n**4 + 9\/2*n**3 - 9\/4*n**5 - 9\/4*n - 3\/4 + 3\/2*n**a = 0. Calculate n.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyuyyyuyyyuuxyyyuyu. Give prob of sequence yuxy.\nAnswer: 385\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -h - s - 3, -3*s - 24 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 3 + 3)*(2*h - 1 + 1) + 0 + h**4 - 1 - 3*h**4.\nAnswer: -4*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n + 56. Let f(l) = -844818*l**2. Determine z(f(v)).\nAnswer: 2534454*v**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and 32?\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -22*m**3 - 71*m**2 - 155*m - 41. Is l(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 8822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 837 and 338985.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-117))\/(74\/(-370)*(-10)\/(-4))?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1984218, -3968197, -5952176, -7936155, -9920134, -11904113?\nAnswer: -13888092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 1, u: 1, a: 1, p: 1, j: 2}. What is prob of picking 1 u and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 13 + 1 + 9 - -7 - 51?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138914709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3377 - 2*s**2 + 10224 - 3467 - 3380.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-60)\/24)\/((-1)\/2)*2. Sort -6, 2, w, -5 in decreasing order.\nAnswer: w, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 i when two letters picked without replacement from {s: 1, k: 2, i: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 4\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 339*g**2 + 108.\nAnswer: 678*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 17 = 12*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -64233+-10075426\nAnswer: -10139659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231 and 642719?\nAnswer: 1928157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 24 + 10*z)*(0*z - 3*z + 2*z)*(4 + 2 - 3)*(9 - 4*z**3 - 9).\nAnswer: 120*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Let k = 2918 + -1021301\/350. Let f = k + -681\/6650. Which is the third biggest value? (a) -0.1 (b) x (c) f (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 - 2*b - 9. Let p be n(4). Let a = p + -3. Let z(i) = 5*i**2 - i - 3. Is z(a) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*r + 8 - 8 + 36*r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -15. Let y = 5 + s. Which is the closest to -1? (a) -2\/7 (b) 4\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/1560 and 77\/33540.\nAnswer: 67080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 44*v + 10. Let n be k(3). Let q = 144 - n. Solve -6 = -2*d - q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 5.6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2. Let f(b) be the second derivative of b**4\/2 - 62*b**3\/3 - 443*b + 1. Calculate f(t(d)).\nAnswer: 6*d**4 - 124*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-258)*216*50\/3600\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = 20. Suppose 85 = 5*m + p. What is the remainder when 35 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1556102155?\nAnswer: 5, 29, 37, 290047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -8*n - 16. Let a be r(-4). Let m = -23 - -25. What is the highest common factor of a and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960349.\nAnswer: 13, 31, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7981 = -39*q + 12338. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.1 - -2.9. Which is the third biggest value? (a) -1 (b) v (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 288447.933 to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734074529 is divided by 2285.\nAnswer: 2284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 - 46744*u**3 + 273031688*u**2 + 1092687744*u + 1092874752.\nAnswer: 2*(u - 11688)**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + -2*(5*(sqrt(1872) + -2*sqrt(1872)) + sqrt(1872)) + (3*(sqrt(1872) + (1 + sqrt(1872) - sqrt(1872))) - (1 + sqrt(1872) + 4)))**2.\nAnswer: -1680*sqrt(13) + 187249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/619597851 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 520.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**6 + 5*g**4 - 1531*g**3*w + g**2*w + 52417*w wrt g?\nAnswer: 120*g**3 + 120*g - 9186*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 13*n + 2*n - 16*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/13)\/(t\/(t**26\/t*t))*t**(-1\/12)*t**21\/t)**(-43) assuming t is positive.\nAnswer: t**(-300785\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iir when three letters picked without replacement from {h: 1, g: 2, i: 2, u: 2, r: 5, j: 2}?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 + 139 - 67 - 74 + (0 - s + 0)*(s**2 + 3*s**2 - 8*s**2).\nAnswer: 5*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 323 - 1433?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**28*((m*m\/(m*(m*m\/((m\/m**(3\/37))\/m))\/m))\/m)\/m)\/(m*(m**(-17)\/m)\/m)**38 assuming m is positive.\nAnswer: m**(26267\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*n + 2*n**2 - 24*n - 3 - 3 + 21*n to the form c + f*n + v*n**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 (base 8) in base 2?\nAnswer: -1110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (86\/(-10) - -1)\/((-68)\/(-170)). Let a = 100 - c. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Suppose 2*k - 73 = 5*l, x*k + 5*l = 6*k - 121. Let z = -112 + 115. Solve z*p = 4*s - p + k, -4*p + 20 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2479 + -248. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3548399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 130214 to the nearest one thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -181, -79, 4 in ascending order.\nAnswer: -181, -79, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-181 - -234) + (3 - -2) - 27?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - g - 3*g)*(6 + 74 + 179)*(3*g + 2 - 4 - 6*g) in the form s*g + u*g**2 + i and give s.\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -5. Suppose -13 = 5*i - 10*i + z, 12 = -4*z. Suppose 0 = d - i*d. Solve d = -2*r - l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 11. Let x be (-4)\/6 - (-44)\/(-6). Determine c(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xax when three letters picked without replacement from {x: 3, w: 6, a: 8}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 208967562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**7\/30 - 139*r**6\/120 + r**5\/5 + 37*r**3\/2 - 15*r**2 + 11*r. What is the third derivative of b(a) wrt a?\nAnswer: 168*a - 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5769, -10587, -15405, -20223, -25041, -29859?\n\"Answer: -4818*t - 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -79, -81, -83?\n\"Answer: -2*k - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.31 and 288546.\nAnswer: -377995.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (183\/(-6))\/((-66)\/12 - -5). Let g be (-2 - -3)*-2 - (-308 + 1). Calculate the greatest common factor of j and g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 9*d**2 + 25*d + 34. What is n(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 1\/20*l**5 + 11\/6*l**3 + 0 + 0*l + 10*l**2 + 0*l**4. Differentiate r(o) with respect to o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 48105*u + 96198.\nAnswer: 3*(u + 2)*(u + 16033)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1500))\/sqrt(5).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6*i = 165. Let o = 187 - 273. Let j = i - o. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.1 + -31. Let n = -0.127 + s. Round n to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14155 (base 6) to base 11.\nAnswer: -1749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0160082879 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -2, 0.1, -110\/919 in decreasing order.\nAnswer: 2, 0.1, 0, -110\/919, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*c**3 + 2*c - 254*c**3 - 2*c.\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 56*s - 52*s + 212, -3*b - 42*s + 294 = 0 for b.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 236.6 - 237.6. What is the nearest to r in -10, 4, -2\/27, 3?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/40 and 71\/1204540.\nAnswer: 2409080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1253985.\nAnswer: 3, 5, 41, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -154 + 10. Calculate the common denominator of 45\/22 and 1430\/(-288) - 8\/m.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {k: 4, x: 4, w: 2, s: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-5))\/(-12)*1\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.768655 times 0.063?\nAnswer: 0.048425265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) + 6*(sqrt(9)\/sqrt(3))**2).\nAnswer: -54 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 5. Let n be b(-4). Suppose 4*t - 57 + n = 0. What is the smallest common multiple of 16 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111247\/9 - 12359. Let m be (1\/9)\/((-1)\/(-2)). Let m*y**2 - t - 4\/9*y = 0. Calculate y.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*m**6 - 2*m**4*x + 7*m**2*x + 7*x wrt m?\nAnswer: 3840*m**3 - 48*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 20 = -2*g, 95*g + 308 = -55*g - 268*g - 2*i + 2832 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4062758 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 635504 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.12 - -4. Let k = 0.12 + r. Let g = 0.1 + k. Sort g, -1\/2, -2 in decreasing order.\nAnswer: g, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 2}. Give prob of sequence ka.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*p + 27 = 0. Let t = -5 - p. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w**2 + 11. Let r be c(2). What is the hundreds digit of (1*r)\/((-61)\/(-1403))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 46, 105, 166, 229, 294, 361?\nAnswer: 430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**7\/360 + k**6\/240 + 13*k**5\/120 + k**4\/4 - 6*k. Let v(a) be the third derivative of j(a). Is v(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 1.5992200337 to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**3\/3 - 5*m**2\/3 + 1273*m\/3 - 15523\/3 = 0?\nAnswer: -43, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen ninths of a week?\nAnswer: 14560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**3\/6 - 4*z**2 + 26*z. Let x be (-1 - 19)\/(3\/(-6)). Suppose -3*f + 4*n - 2 = 0, 0 = -4*f - n - 3*n - x. Calculate s(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5 + 15. Suppose 4*n + 324 = 2*z, -n + 137 = z + p*n. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1767407 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5211803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/130*13\/(-312)*6.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-37)*v**(1\/14)*v*v assuming v is positive.\nAnswer: v**(-489\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v = 10. Let a(m) be the first derivative of m**2 - 7*m - 2. Give a(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 269.0883 months?\nAnswer: 0.022424025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -72 (b) 2\/5 (c) -0.3 (d) 85\/22 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6043335*n**2 + 341046*n + 2 wrt n.\nAnswer: 12086670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 - 183?\nAnswer: -18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3818 = -5*i - 5*m - 793, -i + 4*m = -580. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 5*s**2 + 7. Let j(v) = v**3 - 5*v**2 + 4*v + 1. Let u = 2 - -1. Let t be j(u). Determine g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 94*j - 1101. Determine i(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from {n: 1, p: 1, z: 1, d: 2, o: 4}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/5)\/(30\/(-225)*6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, c: 2, v: 1, r: 1, i: 1, w: 1}. Give prob of sequence ccdw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 0*n**3 - n + 0*n**4 + 0*n**2 + 1\/63*n**7 - 1\/30*n**5 + 0 + 0*n**6. Solve v(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24281 or 315652\/13?\nAnswer: 24281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6572.1019 - 6571. Let l = u + -1.1. What is l rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*w + 115, 23 = 8*h - 7*h + 5*w. Let n = 20 - 11. Calculate the remainder when h is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 + (2 - 3) + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2 + 54*z + 52 = 0.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 7*v + 1. Let w be o(-5). Calculate the highest common factor of w and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffpsfppsffpfpff. Give prob of picking 1 s and 2 p.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3358 - -3362. Suppose 0 = -5*u - 1 - 39. Let j(z) = -z - 1. Calculate the remainder when j(u) is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/((-16170)\/(-28))*(-5)\/(-1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w - 2. What is the least common multiple of -6*(-7)\/(-2) - -37 and a(-6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + (-13)\/(-7))*546\/(-156). Solve 0*t - m = t, -3*t - 35 = -z*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*i + 21 = -n, 4*n = -5*i - 28. Let l = n + 25. Suppose -2*q - 2*d + 0 = -70, 4*q = 4*d + 140. What is the remainder when q is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1319494103.3 + 1319371616.99871. Let l = y + 122457.1. Let a = 29.2 + l. Round a to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -440696413*f**2 - 172762299?\nAnswer: -881392826*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*b + 9*b**2 - 10 + 77*b.\nAnswer: 9*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k. Let i be c(-1). Suppose 2*m - 4*t = -t, -i*m + 4*t = 0. Find the common denominator of 20\/40*(18 - m) and -33\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/5, 7, -0.4, 563?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 44 times 7\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 366?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/1275*(-34)\/17?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 18 = -0*u. Let f be 6\/12 - u\/(-4). What is the first derivative of 3 + 0 + 5*l**f - 10*l**2 wrt l?\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + 41. Suppose 4*y + 12 = 7*y. Let t = 3 + y. What is the highest common factor of m and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}