diff --git "a/data/dm_maths/full_data_1/10366_11255.jsonl" "b/data/dm_maths/full_data_1/10366_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10366_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the thousands digit of 1248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 6747*l**2 + 6750*l**2 - 2*l + 675*l**3 - 13499*l**2 in the form v + m*l**3 + r*l**2 + h*l and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 17 = -31*o - 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(-2\/29)*x)*x**(-18) assuming x is positive.\nAnswer: x**(-549\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12756 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -314 - -2509\/8. Let p = c - 1\/8. Put -3, p, -1 in ascending order.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595.284 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*w = 0. Suppose d = -b + 5*b, -5*d - b - 21 = w. Let l(h) = -h. Let t be l(d). Solve 3*x - t*x = -1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 21, 14, 5, -6, -19, -34?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 97?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -5, -2813, -0.05, -2\/5 in increasing order.\nAnswer: -2813, -5, -1, -2\/5, -0.05, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116\/17 less than or equal to 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 5. Let b(j) = 4. Let u(h) = -3. Let o(r) = -2*b(r) - 3*u(r). Let d(m) = 3*o(m) - q(m). Let c be d(-7). Solve c*a = -11 - 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3190 - 3181. Solve -433 = -w*i - 379 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szsszmspmzsppmsmsmk. What is prob of picking 3 s and 1 k?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2498, 3778, 5882, 8810, 12562?\n\"Answer: 412*p**2 + 44*p + 2042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73285.54 nanograms in milligrams?\nAnswer: 0.07328554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -38f (base 16) in base 15?\nAnswer: -40b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 3*q + 2*q. Let k = 19 - q. Find the third derivative of 3*u**4 - 3*u**4 + 2*u**4 + k*u**2 + u**4 wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 - 6 + p**3 + 2*p**2 - 2*p + p. Let s be t(-6). Let i = 1996 - 1993. Solve s = 3*h + i - 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 4251577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 2. Suppose -w*r - 28 = -12. Sort 5, 0.2, r.\nAnswer: r, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 13*t**2 + 21*t + 17. Is l(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 4, -3, -12?\n\"Answer: -q**2 - 2*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/3))**(2\/79)\/((((b\/(b\/b**(24\/5)*b))\/b)\/b)\/b)**(-1) assuming b is positive.\nAnswer: b**(908\/1185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13684639*c + 10025335 wrt c?\nAnswer: -13684639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - b = -9 - 7, 5*b = 0. Let u be 2\/4 - 23112\/m. Suppose 3*a = -2*a + u. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 0)\/(1\/(-1)). Suppose 0 = 2*s - b + 8, p = 3*s - 4*b + 22. Let c = -2 - s. Solve u = -c*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 0*a**2 + 1\/6*a**6 - a**5 + 25\/12*a**4 - 7*a + 5 - 5\/3*a**3. Suppose c(b) = 0. What is b?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1))**(-1\/2) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 4*h**2 + h + 9. Let b be y(3). Solve 2*o + 5*q = -0*q + 8, -b*o - 4*q + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 + 3*f + 7. Suppose -v - 3 - 5 = 0. Is q(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 31. Put 8, o, 0.2 in increasing order.\nAnswer: o, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -188876.96.\nAnswer: 1133261.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 21. Suppose 0 = 4*t + 12, 4*y + 5*t + j = -6. Solve 0 = -y*w - 2*w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*q**3 - 51 + 151*q**2 + 49 + 47*q**3 - 155*q**2 to the form g*q**3 + y*q**2 + m*q + p and give g.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35462813 is divided by 272.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t - 6978 = -6138 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 764179640 a multiple of 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22182643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -128, -257, -386, -515, -644?\n\"Answer: -129*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000562581 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.82 + 0.02. Let z = y + 1.2. Which is the third smallest value? (a) 5 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - (-141336 + 180\/(-15)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22902039.\nAnswer: 3, 1153, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 701 = -3*k, c + 4*c = 2*k + 871. Suppose -3*x + 97 + 9 = -4*d, -4*x - d + c = 0. What is the remainder when 419 is divided by x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -2*w**3 - 15. Let g(s) = s**2 + 8*s + 14. Suppose -12 = -5*j + 9*j. Let f be g(j). What is v(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 230*m + 1. Let k be z(-1). Let v = k - -368. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-301)\/43*(208\/(-28))\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -43, 13, -3, 4.\nAnswer: -43, -5, -3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 8) + (2 - 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 35*(7 + (-192)\/28). Solve -14 = -i*q - 3*y, 0 = 5*q - q - 4*y + 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a - 42081 = 18*a. Let u = a - -1718. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 156*c**3 + 2906*c**2 - 5352*c + 2600.\nAnswer: 2*(c - 50)*(c - 26)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359, -459, -795, -1505, -2727?\nAnswer: -4599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**17*q)**(-16) assuming q is positive.\nAnswer: q**(-304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132509462 to the nearest integer?\nAnswer: 11511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + (sqrt(76)*-2 - sqrt(76)) + 2 + 5*(sqrt(76) + 0)*-2*-2 + 3)**2.\nAnswer: -136*sqrt(19) + 21968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -19331*y + 193359. Determine v(10).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2*324\/(-504)*21\/3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40499 by -5809.\nAnswer: -40499\/5809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5786, 23152, 52096, 92618, 144718?\n\"Answer: 5789*i**2 - i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -122.775901 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -126, 5, -3\/2 in descending order.\nAnswer: 5, 4, -3\/2, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 55. Suppose -5*p = -15, o + n*p - 132 - 182 = 0. Suppose -3*l + o = 2*u + 77, -5*u + 2*l + 549 = 0. List the prime factors of u.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 10*r**2 + 4*r + 4. Let i(p) = 4*p**3 + 21*p**2 - 7*p - 7. What is -4*i(y) - 7*m(y)?\nAnswer: -2*y**3 - 14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 2*x + 43 + 98.\nAnswer: 2*x + 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcxx when four letters picked without replacement from zxczzzxzc.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -194*b**4 - 196*b**3 - 2*b**2.\nAnswer: -2*b**2*(b + 1)*(97*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*i + 26, 0 = -3*d + 7*d + 2*i - 28. Suppose -6*h + d*h = 2380. What is h rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(56\/(-5))*(-112)\/140. What is the closest to 1\/4 in j, -209, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1.4. Let f = -2.74 + 2.34. What is the second biggest value in 0, f, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -92*u - 463. What is p(-6)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 200*m = -163*m + 145, 5*m - 4 = -24 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5*u + 12 + 23, -4*m - 5*u + 19 = 0. Solve 84 = -22*n - m*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = a. Let d = -2 - a. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*s**2 - 21*s**2 + 32*s**2 - 67*s**2)*((-3 + 5 - 1)*(-2 + 1 + 0) + 46 + 41 - 29).\nAnswer: -5529*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(6*b**2 - 3*b**2 - 4*b**2)*(-3 + 3 + b)*(-10042*b**2 + 1757*b**2 + 19077*b**2 + 20347*b**2).\nAnswer: 62278*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*w - 552 = -5*w, -5*r - 911 = 4*w. Let k = r - -188. Solve k*v + 4*s - 4 = 0, -3*v + 5*s = -2*v - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4431246 and 38994.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 4) to base 9\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 8:05 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-7))\/(50*((-5168)\/(-22610))\/(8\/1))?\nAnswer: -39\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 2*y - y + 3*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 58433.32ng in grams?\nAnswer: 0.00005843332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 2*x - 25. Let n(r) = -r - 1. Let z(s) = m(s) + 2*n(s). Let t(o) be the first derivative of z(o). Let g(i) = 82*i. What is t(g(a))?\nAnswer: -164*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4403698 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -8*k. Let l(i) = -10*i**2. Determine m(l(f)).\nAnswer: 80*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5956399, -5956409, -5956419, -5956429, -5956439?\nAnswer: -5956449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-76)\/(-3) + (-6)\/18. Let d = a - 2. Suppose 4*k - 1 = d. Solve -k + 14 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 283 - -9?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19651 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 75*d**2 - 3*d - 140*d**2 + 75*d**2)*(-2*d - 1 + 1).\nAnswer: -20*d**3 + 6*d**2 + 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from gbbbbbbbbbbbbbb.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5 - 322*g**4 + 13434*g**3 - 38078*g**2 + 24964*g = 0. Calculate g.\nAnswer: 0, 1, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i + 91604 - 91940 = 0 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 - (16 + -8)) + -19.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -354133*i**3*l + 2*i**3 - 2*i**2*l + 5293*i + 51*l + 4 wrt i?\nAnswer: -2124798*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((-15)\/(-5)) + ((-24)\/(-3) - -19)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233691.3 minutes in seconds?\nAnswer: 14021478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*b + 5 = 161*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153 - 118.5. Let a = n - -130.5. Let p = 165.00000079 - a. Round p to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 8:13 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -39, -107, -5, -4 in increasing order.\nAnswer: -107, -39, -5, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/3183 and 59\/40318.\nAnswer: 120954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -745 - -835. What is the smallest common multiple of 30 and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 342243669?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/11)*w*w**(1\/4)*((w**(-1)\/w)\/w)**4*(((w*w**(3\/4)*w)\/w)\/w**(-2\/3))\/(w**(-1\/9)\/w*w\/w**0) assuming w is positive.\nAnswer: w**(-796\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14005 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -498486105 divided by 1.\nAnswer: -498486105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38, -33, -12, 31, 102, 207, 352?\n\"Answer: o**3 + 2*o**2 - 8*o - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 8, -4, -3, -64, 0, -6 in decreasing order.\nAnswer: 46, 8, 0, -3, -4, -6, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(sqrt(405) + 0) - (0 + -1 + sqrt(405)) - (-1 + sqrt(405))*-1*-5) + 4.\nAnswer: -162*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -5\/6*w**2 + 59 - 4\/3*w - 1\/9*w**3. Find a such that r(a) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -49. Let o(m) = m + 7. Suppose 12 = -4*h - 0*h. Let b be o(h). What is the second smallest value in b, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/12 - 2\/3. Suppose 140*y + 59 - 303 = 176. Solve -y*b - 12 = -l*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 3*f - 23. Let z be b(9). Suppose -o + 32 - z = 0. Let d = o + 73. Solve -d = -5*k - c, 2*k - 33 + 3 = 4*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10826, 17216, 23606, 29996, 36386?\n\"Answer: 6390*i + 4436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169 - -175. Suppose v*l = -2475 + 9429. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*j**3 - 76*j**3 - 9 - 12*j**2 - j + 210*j**3 to x*j**2 + n + k*j + d*j**3 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 67.4, -2, 0.1, 1\/8 in increasing order.\nAnswer: -2, -0.3, 0.1, 1\/8, 67.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 5*c + 3 - 48, -d + c + 18 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 182?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**5\/5 - 7*s**4\/20 + 2*s**3\/15 + 1. Find a, given that v(a) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -121c?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-103565)\/440)\/((-4)\/32).\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.2 - -0.8. Let n = -221 - -205.7. Let r = -15 - n. What is the second biggest value in r, k, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61983.58ug to kilograms.\nAnswer: 0.00006198358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*j + 2 - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.29422 minutes in milliseconds?\nAnswer: 4517653.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-3)\/52)\/((-36)\/(-48))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**3\/6 - q**2\/2 + 2*q. Let b = -57 + 75. Let j be d(b). Which is bigger: 16 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 129*k + 42 = -127*k, 0 = 17*b - 5*k + 141 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00054045622 to five dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 73517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -9356217 = -9356215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*c*m**4 - 680*c*m**2*p - 2*c*m*p + 173*c*p - m wrt m?\nAnswer: 168*c*m**2 - 1360*c*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 11. Let r be s(-10). Let q = -3 - -6. Let c(o) = q - 11*o + 0 + 3*o - 4. Give c(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.305 times -0.5\nAnswer: 0.6525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1143404 + -1013?\nAnswer: 1142351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 3*j + 9. Let b be a(7). Suppose 2*h + 5*k - 142 = 0, h - 3*k - b = 34. Let n = 102 - h. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/105 and 13\/(-15)*2\/(-2) - 0.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -10*x - 156. Give r(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 11*w**5\/60 - w**4\/24 - 65*w**3\/6 - w**2 + 22. Find the first derivative of n(l) wrt l.\nAnswer: 22*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4656 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 - -111?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1008.6 to the nearest 10.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 6*f - 161. Determine x(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + j + 13. Let g(a) = -3*a**2 + 2*a + 27. Let x(m) = 5*b(m) - 2*g(m). Determine x(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-14) - 2 - (4 - 5)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10027\/6 + 1671. Let l = 7.7 + -8. Which is the nearest to x? (a) l (b) -2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 10:23 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*q = -6*k + 67, 2*k - 42 = 2*q. Let o(p) = -p**3 - 5*p**2 + 4*p + 5. Let j be o(-6). Calculate the highest common divisor of k and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3460 divided by 2.\nAnswer: 1730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3924477.2 to the nearest 100.\nAnswer: 3924500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37477 - 24333 = -10*l. What is the thousands digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*w + 215*w - 25344 = 486*w for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20247496?\nAnswer: 2, 43, 71, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4713 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -27380*g + 27283. Determine n(1).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27670*t - 75 = -27685*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.1, -286\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-50)\/(-3) - (-18)\/(-27). Suppose 6*j + 3*r - 9 = j, 4*j - p = 2*r. What is the second smallest value in j, -11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven halves of a kilogram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 3*l**2 - 3*l**2. Suppose -5*x - 4*u + 6*u = -14, x - 2*u + 2 = 0. Let y(j) = 13*j + x*j**2 - 13*j. Calculate h(y(f)).\nAnswer: -80*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 2. Let l(y) = y**2 + 7*y - 11. Let m be l(-8). Let w(x) = -2*x - 5. Determine m*w(q) + 8*z(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 8 - 4. Let d be (1\/r)\/(6 - (-296)\/(-48)). Sort d, 10, 0.1 in increasing order.\nAnswer: 0.1, d, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 13 - 786*n + 786*n)*(-6*n + n + 18*n).\nAnswer: -26*n**3 + 169*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -2. Suppose 0 = -h*l + l + 35. Suppose 9 - 25 = -5*o + 4*q, 4*o + q = 17. What is the remainder when l is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*v - 287211, -4*v + 3*n - 128037 = -357819. List the prime factors of v.\nAnswer: 3, 41, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 21, 13, -15, -69, -155, -279?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 7*x**2 + 7*x - 8. Let n be d(-4). What are the prime factors of 448\/n - (-1)\/(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51199232 and 512?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-8 - (8 + -2 + 20 + -29)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-10))\/((-5)\/(-20)). Let r(l) = -l**2 + 59*l - 219. Let d be r(55). What is the closest to -1\/4 in i, d, -26?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k. Let v(m) = -592*m**2 + 4 + 312*m**2 - 4 + 296*m**2. Give w(v(a)).\nAnswer: 128*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1111*g + 139889 = -18984 for g.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 + 3*o**3 - 6*o**3 - 46*o in the form w + c*o + i*o**2 + k*o**3 and give c.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veevvvvvev. What is prob of picking 2 v and 1 e?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, u: 1, a: 1, d: 1, s: 2}. What is prob of picking 1 a and 1 u?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 1019*p**2 - 2*p**3 + 1019*p**2.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 1981 = -490. Suppose 4*u - 2931 = k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 38, 58, 78, 98?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1161 + 1161 + 3*m + (-2 - 2 + 2)*(-3*m + 5*m - 4*m))*(-19*m**2 + 20*m - 20*m).\nAnswer: -133*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1000100110001001001010 (base 2) to base 4\nAnswer: -20212021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 535?\nAnswer: 4\/535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 13*o**3\/6 - 229*o**2\/2 - 14*o. Calculate a(18).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7770587 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = -0. Let p(y) = 25*y**2 - 1. Let k be p(t). Let q = 36 - k. Solve 6*c = -4*d + c - q, 0 = 5*d + 2*c + 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -23. Let z = 5 + y. What is the closest to 1 in 3, z, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j**2. Let y(q) = -19*q + 18*q - 47 + 47. Calculate f(y(d)).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3025)\/(-35))\/(15455\/21637)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09274138 rounded to 5 dps?\nAnswer: 0.09274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, o: 2, r: 1, c: 1, d: 1}. What is prob of sequence dww?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 8:17 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56249\/11634 - -3\/1939. Let y be 3\/90*1271 - 2. Let j = y - 216\/5. Find the common denominator of j and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -38*u + 10350. What is n(273)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c - 2. Let b be a(-6). Let l be ((-3 - -5) + b)\/1. Suppose -2*k = -l - 30. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 342919 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 (-30)\/40*(-8)\/3 and 568\/28 - (-6)\/(-21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**4 - 21*n**3 + 9*n + 2*n - 2*n**4. Let o(r) = -r**3 + 2*r**3 + r**3 - 2*r + 2*r**3. Let b(a) = -11*o(a) - 2*x(a). Factor b(d).\nAnswer: -2*d**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30704 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 2, -23, -68, -139, -242?\n\"Answer: -l**3 - l**2 - l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5139558 and 5139558.\nAnswer: 5139558","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 150 = -5*r. Let g be (-7)\/14 - r\/4. Let m(u) = u**3 - 13*u**2 + 12*u + 9. List the prime factors of m(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4*q + 24. What is the third derivative of -2*j**2 + q*j**6 + 2*j**2 - 6*j**6 + 8*j**2 wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.1 (c) 0.3 (d) 0.8958 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 7*c - 5. Let t(q) = -4*q + 1. What is the tens digit of t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (-5 + 11 - 20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 1044612611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 5*i - 21 = 0, -4*q + 20*i - 15*i - 18 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -98*q**2 - 17*q + 6*q + 11*q to x*q**2 + j*q + k and give x.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 30. Let r be c(36). Suppose 27*y - 3969 = r*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 6936840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816628206?\nAnswer: 2, 3, 397, 342833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.333 + 5.333. What is the second smallest value in -1\/3, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 292*u**2 - 37*u + 279 - 290 - 289*u**2. What is f(9)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -5*h**6\/33 - 3*h**5\/22 + 59*h**4\/66 - 7*h**3\/11 + 2*h**2\/11 + 174*h. Let b(z) = 0. What is z?\nAnswer: -2, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18506 + 18538. Let t be 6\/(-1)*28\/(-6). Suppose 0 = r + 4*m - t, 2*r - m = m + 6. What is the highest common factor of r and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 0.1, -228.9, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 1\/3, 0.2, 3\/10 in ascending order.\nAnswer: -3\/2, 0.2, 3\/10, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Suppose -4*j - 2*l = 14, 3*l + 2 = 5*j + 3. Let r be (-26)\/(-6) + (j - 10\/(-6)). Solve 5 = -r*f - w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37*q + 1824 - 1821 - 278*q - 2*q**2)*(0 - q + 0) to h*q**3 + s*q**2 + o*q + r and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-17608)\/1085)\/71)\/(2*(-1)\/5)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4657 + 4633. What is the closest to -0.9 in -2\/3, -3, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 12:28 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*t + 36 = 111*t. Suppose -3*i - i - 5 = k, 0 = 3*i - 2*k - 10. Solve -t*z = -i + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(1539) + -1)**2 + -2 - (sqrt(1900) + (1*sqrt(1900)*-2)**2 + sqrt(1900) + 3*(sqrt(1900) + -2)**2).\nAnswer: -11771 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14258332*a**2 + 9899599 wrt a?\nAnswer: -28516664*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 6*l**2 + 5*l - 5. Let v be n(-7). Does 16 divide (-4)\/6 + 357\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/8 + 1\/(-4) - -8. Suppose 920 + 4590 = 5*i + 5*l, l = -b*i + 5510. Does 38 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(26\/(-4) + 3). Let k = -20\/3 - f. Which is the nearest to k? (a) -4 (b) -3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwvw when four letters picked without replacement from {r: 4, v: 3, w: 9, b: 4}.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 19*n**4\/2 + 23*n**3\/3 - 104*n**2. What is the tens digit of u(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-325) + ((-1108353)\/85075 - -13)?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6999*q. Let u(o) = 8*o - 4. Give a(u(h)).\nAnswer: -55992*h + 27996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3657 divided by -69\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*g**2 - 502*g**2 - 1205*g**2.\nAnswer: -1753*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*w + 29 = 0, 19 = v - 0*v + 4*w. Let d = v + -1. Let h = d - -8. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -6*c - 90. Let x = -43 - c. Suppose 1 = 5*a - 29. Calculate the remainder when a is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.6 - 2.4. Let d be (2\/14)\/((-21)\/63). Which is the closest to m? (a) -0.4 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wzjbwzjujnzu. Give prob of sequence jwzz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - -48 - 23 - 24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151259835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - -611. Is l a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/(-3150) - 2\/(-35) - (-30)\/20?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 15*b - 6. Let q(f) = -3*f**2 + 2*f. Let g be q(2). Is 15 a factor of r(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3191.\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*f = 2*v - 54, -5*v - 4*f = -90. Let w = v + 3. What is the greatest common factor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -165, -1, -17, -52 in descending order.\nAnswer: -1, -17, -52, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4232, 13506, 28966, 50612, 78444?\nAnswer: 112462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2823666884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303243494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*y**6 - 113241*y**5 + 27195*y**2 + 2*y + 2 wrt y?\nAnswer: 360*y**3 - 6794460*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 181390374 a multiple of 782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/4)\/(-3*(-1)\/24). Let n = 20 + b. Suppose n*s + 0 + 2\/9*s**2 = 0. What is s?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 2*n + 274 = 0, 33*c - 2*n = 36*c + 239 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = p - 20, 3*n - 15 - 12 = -2*p. Let o be -3 - p\/(-6)*2. Suppose -g - 2396 = g + 2*m, m - 2402 = o*g. What is g rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*h = 118*h - 982. Let x = h - -483. Let i(b) = 3*b + 16. What is i(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 26 + (-203 - -182) - 22.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + sqrt(1539)*3)*-5.\nAnswer: -180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 54*n - 57*n - 89815, a = 3*n + 22438. What are the prime factors of a?\nAnswer: 37, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 6:09 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8444393*z**6 + 12*z**2 + 18*z - 11?\nAnswer: 1013327160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2340 and 102310?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 510 divide 9690000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 11*d - 27. Let n be k(-12). Let s = 1 - n. Suppose -8*p = 2*l - 4*p - s, -4*l + 270 = -2*p. Calculate the highest common divisor of l and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-128)\/(-576)*(-27)\/(-6). Let h = -2 + 10. Solve 3*j - h*j + 7 = -2*y, 0 = 5*y + 4*j + n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10510?\nAnswer: 2, 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o. Let k(q) = -24744*q - 2. Determine k(n(g)).\nAnswer: -371160*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 - 3*l**2 - 5*l**2 - l**2 + 5*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1513 (base 7) to base 10\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - -0.03. What is the nearest to -0.1 in 0.2, t, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-16)*(-4)\/30)\/(1\/6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17085402 - -30818042. Let k = f - 13732924.00254. Let j = 284 + k. What is j rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -11*z + 102. Let l = z + -31. Suppose -6 = -l*r, 2*f + r - 9 = 45. Is 26 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -656*u + 4696 + 13016 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 163000 - 66500. Round v to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40578*0.4.\nAnswer: 16231.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 8*u + 1. Let o be j(9). Let q = o - -10. Suppose q*c - 22 = 22. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2298)\/(-383)*1\/(3*-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l - 8. Let s be z(-7). Let b = s + -31. Let t be (-2)\/((-2)\/7) - 1. Calculate the highest common divisor of t and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 4\/9 + 554\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(51)\/sqrt(3))*-2 + sqrt(17)*1 + 1)**2 + ((sqrt(17) + (sqrt(17)*2)**2)*5 - sqrt(102)\/sqrt(96)) + -2.\nAnswer: 27*sqrt(17)\/4 + 356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2094376 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -31 + (-6 + 6 - (2 + 0)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43033.5957 - 43042. Let m = 8.4 + d. Round m to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 49?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -137, -183, -237, -299, -369?\nAnswer: -447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -9357106142?\nAnswer: -9357106141.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3 + 2*v**2 - 6*v + 0 + v - 4. Is j(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8 + (-8 - 7))*-77. Calculate the highest common factor of 319 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/16)\/((-5)\/(-80)*44)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1008) - (0 + sqrt(1008)))*2 - (4*(sqrt(1008) + (sqrt(1008) - 1*sqrt(1008))) - (1 + -1 + sqrt(1008) - sqrt(1008))))**2*5.\nAnswer: 80640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 15, 1, 3\/5, 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 + 8988445406 - 8988445406.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -16 + 50 - 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42.386 + -51.08. What is n rounded to 1 decimal place?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.23 - -3.984. Let o = c + -0.654. Sort o, 0, -5 in decreasing order.\nAnswer: 0, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37.3 - 36. Let m = -1.7 + l. What is the closest to -2 in m, 3\/19, 5\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccjj when four letters picked without replacement from jccjjjjjjjjj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*k - 30 = 426*k + 3*i, -4*i - 5 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 889252 divided by -7\nAnswer: -127036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/43 (b) -4 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -12*l + 11. Let u(m) be the first derivative of 13*m**2\/2 - 13*m + 22. Let b(n) = 6*i(n) + 5*u(n). What is b(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1599 + 1604. Sort t, -3, -9, 3 in ascending order.\nAnswer: -9, -3, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 4:43 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 = 3*b, -4*b + 8*b + 2 = -2*r. Let j be (-27 - r)*(-2)\/(-4). Calculate the remainder when j\/10 - (-494)\/4 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**3 - 38*a**2 + 68*a = 0?\nAnswer: 0, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 114 = 10*h. Let c(z) = z**3 + 8*z**2 + 5*z + 8. What is the smallest common multiple of h and c(-7)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474671 is divided by 24982?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 2*h + 3. Let p be j(2). Suppose -p*l = -5*b + 88, l + 0*b + 26 = b. Let g = l - -23. What is the remainder when g is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 20. Find the third derivative of 5*q**a - 4*q**4 + q**2 + q**2 wrt q.\nAnswer: -96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2649 + 502357860\nAnswer: 502360509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764680361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -15, -2*y + 53 + 31 = 3*i. What is the highest common divisor of i and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8617342 is divided by 2872439?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.01. Let l = 0.01 - t. Let n = l + -0.9. Round n to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -5929, 72, -0.5?\nAnswer: -5929","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 563 - 272. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 374\/5. Let y(r) = -r**3 + 4*r**2 + 10*r - 2. Let j be y(7). Let v = -239\/3 - j. What is the nearest to -0.1 in v, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-20)*-12*(-30)\/126*-49?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 735958.2 to the nearest one hundred.\nAnswer: 736000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 18. Suppose 0 = -3*d - 2*j + 6, 0 = d + j + 4*j + 11. Which is the closest to k? (a) -3 (b) d (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**4\/8 - 3*y**3\/4 + 57*y**2\/8 - 21*y\/2 + 9\/2 = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 2*q + 2*q**2 + 15*q**2 + 3*q**2 to the form y*q + r*q**2 + l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 48 = -5*k + 2, 4*r = -k + 121. Suppose z = -2*z - 3*w + 24, 3*w + r = 2*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 11*q - 2 - 6*q - 2. Let d be n(5). Which is the smallest value? (a) 0.5 (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 176*j**3 - 3*j**2 + 3. Is t(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 6. Suppose -4*c - 12 = 4*f, -y*c + f + 4 + 2 = 0. Solve 3*q + 5 = 5*b + 4, -c = q - b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8\/3 (b) -0.3 (c) 19 (d) -2\/7 (e) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 (base 8) in base 4?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17053111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + -2059298.\nAnswer: -2059297.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001001010010101110110 + 100?\nAnswer: 1010001001010010101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2\/3, 0.1, 54, -65, 4\/9?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1629 is divided by 163.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14746 + -14742. Solve -24*b = -f*b - 100 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -4)\/((-96)\/(-608)). Suppose z*y - 79 = 18*y. What is the remainder when y is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 4 - 2*s - 9)*(-26 - 3 + 70).\nAnswer: -82*s + 287","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583 plus 229861969?\nAnswer: 229863552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 8. Let n = 6.4 + -6. Let i = -0.7 + n. What is the third biggest value in i, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujy when three letters picked without replacement from jyeyeu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 0.53?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/4 and -3\/4204?\nAnswer: 4204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/((-12)\/(-32)). Let r(s) be the third derivative of -s**5\/60 - 7*s**4\/24 + s**3\/6 + 10*s**2 + s. Give r(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*t = -2*r + 11, r - 7 = -t. Let i(f) = f + 2. Let w be i(0). Suppose -n + 5*h = -0*n - 5, 2*n - r = w*h. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 5) to base 6.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5372, 10671, 15966, 21257, 26544, 31827, 37106?\n\"Answer: -2*f**2 + 5305*f + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 13*w + 6 = -14*w, 2*w = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h - 2*h)*((0*h + 3*h - 2*h)*(3 - 5 + 5) + 1 - 2*h - 1 - 2 + 2 + 2*h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -7. Suppose -2*n + 49 = 3*s, s - x*n - 1 - 8 = 0. Solve 4*a = -a - s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/12, -5\/6, 959?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.2 - -16.8. What is the closest to 0.2 in 2\/5, 2, k, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 6*w**2 - 4. Let g(x) = -6*x**3 - 40*x**2 + x - 22. Let y(v) = 2*g(v) - 13*q(v). Let f = 0 - 0. What are the prime factors of y(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -404249.789 rounded to the nearest 100?\nAnswer: -404200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -49a2?\nAnswer: -499a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.06 and 42480116.85?\nAnswer: 42480116.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/162 - 4\/18. Which is the closest to 3? (a) 0 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txtx when four letters picked without replacement from xyttttxtxxtxttttx.\nAnswer: 45\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 plus 0.041?\nAnswer: 21.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 35, 0.5, 1\/4 in descending order.\nAnswer: 35, 0.5, 0.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 1394 + 1223. Suppose 2*a**2 + z*a - 6*a**2 - 26896 - 73*a - 602*a = 0. Calculate a.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from slrumpr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 183*i**2 - 56*i - 23548. What is x(184)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22020 (base 5) in base 8?\nAnswer: 2746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 266\/(-57) + -3*(-4)\/3. Let i = -0.1 + 0. What is the nearest to i in a, -2\/7, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8548, 8553, 8560, 8569, 8580, 8593, 8608?\n\"Answer: v**2 + 2*v + 8545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w**(1\/2)\/w*w)*w))**(-40)\/(w**6*w**(-1)\/w) assuming w is positive.\nAnswer: w**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.3 (b) 5 (c) 3\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 9:21 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 960 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246 (base 8) in base 3?\nAnswer: -221010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2 - 6859*g - 34270 = 0. Calculate g.\nAnswer: -6854, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -396521 + 566889. Find b, given that 412*b**2 - 148*b**2 + 0*b**3 - 2*b**3 + 4*b**3 + 13179*b + d - 1563*b = 0.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5291112 is divided by 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37427263 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984 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 is (-66)\/(44\/4)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/7 - 1074*v**2\/7 - 306*v - 1070\/7 = 0 for v.\nAnswer: -535, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.59645 + -3\nAnswer: -3.59645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 2*w + 0*w**4 - 3\/7*w**7 + 1\/30*w**6 + 0*w**5 + 0*w**2 - 50 + 1\/2*w**3. Find the second derivative of n(z) wrt z.\nAnswer: -360*z**3 + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 7 = a, g = -a + 2*g + 9. Let x = -3 + a. Let j(y) = y - 2. Let m be j(x). Solve -3*h + 2 - 17 = m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12797?\nAnswer: 67, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/(w*w\/w**(-2)))\/(w\/w**(-1))**21 assuming w is positive.\nAnswer: w**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-7))\/((-24)\/(-14))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402057 (base 15) to base 3.\nAnswer: 12201200001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19081, 38162, 57243, 76324, 95405?\n\"Answer: 19081*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 430*j. Let v(q) = q + 4044. Give v(l(y)).\nAnswer: 430*y + 4044","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7127 + -0.1.\nAnswer: 7126.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193390 is divided by 96686.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -189 - -178. Let u be (2 - x - -1)*(-10)\/(-4). Is -0.2 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*f**3 + 51*f**3 + 6*f**2 - 28*f**2 - 27*f**3.\nAnswer: -2*f**3 - 22*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6079\/7728 + -1\/1104. Let y = -9\/7 + q. Let k be 1\/(-5)*(12 + (-119)\/17). Which is the closest to y? (a) 1 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 26*a - 26*a.\nAnswer: -52*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 2*c**2 + 31*c + 11. What is w(7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -8. Suppose j*q - 5*q = 20. Solve -b = b + q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w, 3*u = 4*w + 255. Let c = -57 + u. Let r = c + -18. Calculate the least common multiple of 12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 30*y - 8. Let c be 9\/15 + 2 - 15\/25. Let o be b(c). Let d = o - 36. What is the greatest common divisor of 144 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (0 - (-4 + 10 + -4) - 11)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -762 = 6*j - 0*j. Let b be 15\/(6\/(-2)) + j. Is 14 a factor of (-3)\/(27\/b) - 4\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(sqrt(432)*1)**2*-4.\nAnswer: 6914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**5 + 93*l**3*o**2 + l**2*o**2 - 630*l*o**2 wrt l.\nAnswer: -40*l**3 + 558*l*o**2 + 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-0.07.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64080 and 489856?\nAnswer: 22043520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*i + 9 - 9)*(25 + 19 + 186).\nAnswer: -3220*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6177548mg in micrograms?\nAnswer: 617.7548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-264)\/(-20))\/(3\/10). Let v(c) = c**3 + 6*c**2 - 9*c + 12. Let b be v(3). What is the highest common factor of b and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 10. Let j = -0.2781 + -0.0319. Let d = 4.69 - j. Put d, 0.2, m in descending order.\nAnswer: d, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69208544 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 3:47 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37990*q**3 + 67*q - 24 wrt q?\nAnswer: -227940*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rihiiliiiriinrr. What is prob of picking 1 r and 1 h?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 15) to base 8\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 882*c**3 + 1498*c**2 + 6512*c\/9 + 968\/9.\nAnswer: 2*(c + 1)*(63*c + 22)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2, -0.5, -1\/43?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3668, 14326, 31974, 56612, 88240, 126858?\n\"Answer: 3495*h**2 + 173*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -732696 less than -0.1131?\nAnswer: 732695.8869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-3) - 0 - (-27)\/(-81). Suppose 3*p - 1250 = -m*p. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*((-2*sqrt(1872) - sqrt(1872) - sqrt(1872)) + 3))**2 + ((sqrt(130) - -3*sqrt(130))*-4 - sqrt(130))\/(3*sqrt(20)\/sqrt(2)).\nAnswer: -11249*sqrt(13)\/3 + 269737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1912.999995343 + 1913. Round d to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*i - 5, -4*i = -3*w - 8*i + 25. Let x = 143185\/22 + -6506. What is the common denominator of w\/(-12)*(-91)\/6 and x?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 12*d**2 + 190*d - 4702. Is 3 a factor of m(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -t - 16, -3*t - 39 = -4*c - 35 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*c - 569, -i - 58 - 499 = -5*c. Calculate the highest common divisor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-3 + 2 - (3 + -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/11 and 4\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -8 (c) 3\/4 (d) 4 (e) -44 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 62*s**2 - 644*s + 836. Determine c(11).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-25 - (10 + -23))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*2166492\nAnswer: 1516544.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*a - 123 = 0, -3*a - 156 = -4*b - 5*a. Let d = b + 15. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1))\/h*h*h**(-2\/29)*(h*h\/(h**(-1\/8)*h))\/(h**(3\/11)\/h) assuming h is positive.\nAnswer: h**(4551\/2552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4)*a)**14*(a*a**(-2\/7)\/a)**(1\/23) assuming a is positive.\nAnswer: a**(5631\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:26 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/15 - (62\/(-6) + -1). Let m be z\/2 + (7 + -6 - 5). What is the remainder when (-352)\/(-10) + m - (-8)\/(-40) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1211 - 1209. Factor 2\/7*u**z + 16\/7*u**4 + 0 + 8\/7*u**5 + 10\/7*u**3 + 0*u.\nAnswer: 2*u**2*(u + 1)*(2*u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 27\/2*o**2 - 6*o + 9\/2*o**5 + 0 - 15*o**3 + 4*o**4 - 5\/2*o**6. Let d(k) = 0. Calculate k.\nAnswer: -1, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -90 in 0.2, -0.12, 1, 4, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2485 or -22352\/9?\nAnswer: -2485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 2:43 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 4*i**2 + 10*i - 53. What is the remainder when c(7) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**4 + h - 2 + 3*h**3 + 3*h**2 - 4*h**2 + 0*h - 4*h**3 to the form o*h**4 + d + f*h + w*h**2 + s*h**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let m(p) = -190*p**2. Calculate m(u(z)).\nAnswer: -190*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 600484 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1098270 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21, 7\/4, -2487, 1\/5?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 162315?\nAnswer: 3570930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1001 - -100241?\nAnswer: 44240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 7*x**2 + 5*x + 11. Determine d(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 6, -55\/2, 2\/19, 5, -5, 84 in descending order.\nAnswer: 84, 6, 5, 2\/19, -5, -8, -55\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1498 and 856.\nAnswer: 5992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00572365142 rounded to six decimal places?\nAnswer: 0.005724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/g**10)\/g**(-2))\/(g**(-2)\/g**(1\/14)) assuming g is positive.\nAnswer: g**(-41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11\/2*(0 - -6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 585*t**2. Let x(c) be the first derivative of -2*c**2 - 6956. Give l(x(u)).\nAnswer: 9360*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -3*i. Suppose i*p - 3 = 5*p - s, 4*p = 5*s - 9. What is the tens digit of ((45\/p)\/5 - -1)*-348?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n + 43 - 43 + n - 2 + 2 + (-2*n + 0*n + 0*n)*(-2 + 2 - 3) - 5*n + 3*n + 0*n)*(0*n - n - n).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.5, -42527, 0.175?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24717716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 5:07 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o - 6*o - 5*o.\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 81. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 157*z - 624. Calculate l(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 2:33 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1784?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z - 54 = s, 2*s - 5*z + 107 = 0. What are the prime factors of 4\/(-14) - 3096\/s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -3130?\nAnswer: -3103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 966190\/(-37100) - 6\/(-140)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 44437992 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2764329 is divided by 105.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 39. Let y = 4 - f. Let h = 12 + y. Solve h*z - 2*z = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140.47614 - -2.43654. Let c = n + 138. Let m = 0.03960438 + c. What is m rounded to 7 dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2692*t - 18. Let u be (-56)\/21*(-6)\/(-4). Let c be l(u). What is c rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50861367\/11 greater than 4623762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d*q**2 + 2*d*q + 2*d + 271*q**2 + 7*q + 5217 wrt q.\nAnswer: 4*d*q + 2*d + 542*q + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*m**2\/11 - 74*m\/11 + 56\/11 = 0 for m.\nAnswer: 1, 28\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35204 times -0.028?\nAnswer: -985.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 + 29*v + 15. Let b be x(10). Let h(t) = t**3 - 5*t**2 - 5*t. Let d(u) = 4*u**3 - 16*u**2 - 16*u. Determine b*d(r) - 16*h(r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0 (c) -3543 (d) -10\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2727 is divided by 167?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*k - 81*k - 859*k**3 - 2*k**2 - 897*k**3 - 161*k wrt k.\nAnswer: -10536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 not equal to 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 369216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 11 - 992*s**2 - 33*s + 10 + 994*s**2. Let f be d(16). Solve -3*j - 3 = -3*v, -5*v + 2*j - 2 = f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 17689 + -16233. What is the lowest common multiple of 624 and g?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 1621*j + 175746.\nAnswer: -(j - 1723)*(j + 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, b: 2, s: 3, w: 3, k: 1, j: 6}. Give prob of picking 1 z and 1 k.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t. Let o be t\/(-1) + (3 - 1). Find the third derivative of o*b**2 - b**3 + b - b wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20604049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -478 - -55.\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Suppose -16 = -2*l + 4*r, 19*l - 21*l - 2*r = 14. Which is the smallest value? (a) 4 (b) 2\/13 (c) y (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 16*q - 47. Let f be s(11). Suppose -o + 12 = f. Suppose o*w = -409 + 1557. List the prime factors of w.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 36*n - 89*n - 44*n.\nAnswer: -97*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 plus -7796991827?\nAnswer: -7796991826.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -58c + -3c80?\nAnswer: -431c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1029, 1, 3 in decreasing order.\nAnswer: 3, 1, -2, -1029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.24, 2, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2269895 divided by 2\nAnswer: -2269895\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 401178 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160 - 158.89. Let a = 23841.6779647 - 23842.788. Let k = a + p. Round k to six dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 5*z + 325, -1515 = -0*n + 5*n + 3*z. Let t be (-10)\/(-4)*n\/(-125). Suppose -t = -3*a, 4*a + 59 = l - 33. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 4:25 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2 - c + 2. Let f be (-1)\/3 - (-10)\/3. Let s be -2 + f + -3 + 0. Determine g(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/1 - (1 - 1). Suppose 15 = -3*v - l*m, 3*m = -5*v + 2*m - 9. Is v not equal to -3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 - -266)\/(-1 - 0). Let q = 632 + l. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 w when three letters picked without replacement from qhhhqhww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -351\/25 - -14. Let q be ((-4)\/(4 - 6))\/(-2). Which is smaller: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19\/123 - -1\/82. Let w be 8\/(-20) - (-4)\/(-15). Let k = j + w. Which is the second smallest value? (a) 3\/8 (b) k (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4519973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - a**2 + a - 1. Let s(v) = 5*v**3 - 4*v**2 + 4*v - 7. Calculate 4*i(k) - s(k).\nAnswer: -k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109631557?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -362 - -715. Is 38 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6*s + 9*s - 8*s + 923 - 910. Let n(p) = -2*p - 3. Calculate -18*n(g) - 4*y(g).\nAnswer: 8*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 13 = -c, 2*x - 5*c + 13 = 3*x. Let d = -0.56 + 0.06. Sort d, x, 0.07 in descending order.\nAnswer: x, 0.07, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 + 45 = 2*f - o, 2*f + o + 8 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edw when three letters picked without replacement from fefwfdueffewwfzfwu?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 175*a**2. Let q(x) be the third derivative of -x**5\/30 + 79*x**2. What is v(q(i))?\nAnswer: 700*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 2*o**5\/5 + o**4\/24 - 1023*o**2. Determine f(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 5:12 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -156, -148, -118, -54, 56, 224, 462?\n\"Answer: 2*b**3 - b**2 - 3*b - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.13884 - 163.93016. Let c = 168 + h. Let p = c + 0.06843. Round p to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-40)\/105)\/((-76)\/(-6)). Let m = j - -6\/19. Let a = -0.4 - -1.4. Put 5, a, m in increasing order.\nAnswer: m, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 171559, -4, -5 in ascending order.\nAnswer: -5, -4, 171559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 7. Let y be 1 - -3*c\/12. Suppose 0 = 5*t + 8 + y. Let g(u) = -9*u - 3. Calculate g(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4 - 213*y**3 + 438*y**2 = 0. Calculate y.\nAnswer: -73, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -3170?\nAnswer: 3163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) 10 (c) -0.06 (d) -3456\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 556\/15 or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 56\/(-10)*(-5 - 10). Suppose 4*h + 2*h = z. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136 + 144. Let r(q) = 7*q**2 + 12*q - 13. Let v be r(1). What is the greatest common divisor of v and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1330985693 divided by -3389\nAnswer: 392737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 319*r**4\/24 - 344*r**2. Let g(c) = -2*c**2. Calculate y(g(t)).\nAnswer: -638*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 23*x**2 - 23*x**2 - 4*x**3 + 5*x**3 + x**3 + (-x**2 + 0*x**2 + 3*x**2)*(-5*x + 6*x + 0*x) + x**3 - 2*x**3 + 0*x**3 + 5*x**3 + 3*x**3 - 4*x**3.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90996232.\nAnswer: 2, 11374529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 153317581*p**4 + p**2 + 448821481 wrt p?\nAnswer: 613270324*p**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10679076 to the nearest integer?\nAnswer: 3268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3587249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, 11, 0.04, 25\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 + -109. Suppose 2*c + n - l*n + 84 = 0, -4*c = -3*n + 168. Is -44 > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l. Let b(m) be the first derivative of m**4\/12 + 3*m**3 + 12*m**2 + 55. Let f(c) be the second derivative of b(c). What is f(n(o))?\nAnswer: 4*o + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162 + -158. Let n(g) = -3*g + 4. Let q be n(-3). Suppose 2*x - q = 5*y + 49, 5*x = -p*y + 89. Calculate the remainder when 35 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/6)*(y*y\/(y*y*y**12*y))\/y)\/(y**14)**(-1\/8) assuming y is positive.\nAnswer: y**(-145\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2 + 510*o - 969. What is the remainder when 419 is divided by c(-172)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64354 + 151657. Suppose 5*p - l = 244457. Suppose -2*h - p = -12752. Round h to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1526 and 125\/1962.\nAnswer: 13734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*m - 253*m**2 - 2470*m**4 + 9*m - 426*m**2 + 890*m**4 wrt m.\nAnswer: -37920*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 7369*w + 7369*w.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78 in 2.6, 0, -0.5, 3\/118?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 848.0221ml in litres?\nAnswer: 0.8480221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 336*y**5 + 5042*y**4 - 225300*y**3 - 2934120*y**2 + 19233104*y - 5250432 = 0. Calculate y.\nAnswer: -22, 2\/7, 113\/24, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -21482?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 r when four letters picked without replacement from rfrprfrmmoffftpr.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -573 - -813. Suppose 0 = 2*l + 3*t - 79 - 33, -4*l + m = -2*t. Suppose 5*b + q - 101 = 3*q, -l = -3*b + 2*q. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1579, 3165, 4753, 6343, 7935?\nAnswer: 9529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 < -68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273142.\nAnswer: 2, 41, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**4\/2 - 3*a**3 + 7*a**2\/2 + 6*a - 725. Let j(o) = 2*o**3 - 8*o**2 + 6*o + 5. What is 5*g(s) - 6*j(s)?\nAnswer: -2*s**3 + 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 240*g - 192*g + 255*g + 1403*g + 2373*g in the form a + s*g and give s.\nAnswer: 4079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*t + t - 102 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*i + 1875 + 330 = 0, 0 = 3*k + i - 2207. Calculate the remainder when 89 is divided by k\/(-24)*6\/(-4).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*p - 10 = 4, -p + 21 = 4*r. Suppose 6 = r*j - 9. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 80*o**4 - 188*o**3 + 12*o**2 + 80*o + 16 = 0.\nAnswer: -2\/5, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 3*t - 18, -31 = -s + 5*t - 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**5*z + 232992*r**4*z - 41*r**3 + r**2*z - 2*r**2 + 168815*r wrt r.\nAnswer: 60*r**2*z + 5591808*r*z - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100 - -191. Let y = a - 82. List the prime factors of 3\/y*309*1.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**5 + 531*b**4 - 18477*b**3 - 379455*b**2 + 18967032*b - 18569628 = 0.\nAnswer: -29, 1, 42, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**2 + v. Let b be d(-1). Suppose -c + 11 = 2*i, -i - 12*c + 7*c + 1 = 0. Let u(a) = a**3 + a - a - 1098*a**2 + 1092*a**2 + i. What is u(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109035 - 63*u**2 + 109035.\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1426 = -13*c + 1226. Suppose -19*l - c = -21*l. Calculate the remainder when l is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**2 + 13*j + 2. Let n(c) = -1. Give -2*n(k) - q(k).\nAnswer: 7*k**2 - 13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -171*i. Let s(m) be the second derivative of 2*m**3\/3 + 1122*m. What is s(y(d))?\nAnswer: -684*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) 1\/10 (c) 5\/9 (d) -1 (e) 15\/16 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3592*f**3 + 6*f**2 + 8*f - 11066. Let o(z) = 14367*z**3 - 22*z**2 - 29*z + 44264. Let u(p) = 11*d(p) + 3*o(p). Differentiate u(c) wrt c.\nAnswer: 10767*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.8 - -9.2. Let u = -12.9 + k. Let q be (-2 + 1)*(-3)\/7. Which is the third smallest value? (a) 1 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 18*p + 7069. Suppose 2*f + 2*y = 5*y + 3, -2*y - 2 = -3*f. Is u(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 12, 3.\nAnswer: 0, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 53*l**3 - 65*l**2 + 2*l + 43. Is z(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -3 (b) 5 (c) -0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 9 - (0 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102 (base 9) to base 14.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17437?\nAnswer: 7, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9696143 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) 2 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005713586 rounded to 6 decimal places?\nAnswer: -0.000571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10663.9 - 11252. Let n = -588 - x. Which is the closest to 0? (a) -0.5 (b) n (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-390)\/(-12))\/(-13))\/(1\/(-2)). Which is the fourth smallest value? (a) 1\/6 (b) 3 (c) h (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, t: 12}. What is prob of sequence teet?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 225442517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 1 - 6 + 2*g + 6*g - 5 in the form p + l*g and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/19, 5, 3, 1 in decreasing order.\nAnswer: 5, 3, 1, -10\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 10*a**3)*(-3 + 3 - 3).\nAnswer: 30*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.9311 + -0.0011. Let v = s + -7.33. Which is the third biggest value? (a) v (b) -87\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((4\/78)\/(8\/(-6))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 3. Let n(y) = -3*y**3 + y**2 - 2. Let g be n(2). Let f = r + g. Solve 3*u + f = -2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -65 - -81. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 2. Suppose 10*d - 20*d + 150 = 0. Let p(f) = -17 - 1 + d - 2*f. Determine -3*i(g) - 2*p(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.456846 to one dp.\nAnswer: -15.5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -1\/4*v**4 + 26 + 16*v + 35\/2*v**2 + 14\/3*v**3. What is the tens digit of p(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -473709621 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 336.10003002 + -336.1. What is o rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111616.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8072229 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 - 21\/36. Let w = -1.1 - -2.6. Let n = w + -1.9. Which is the nearest to q? (a) -6 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1794 and 76452?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 6 + -11 - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2202, -2787, -4380, -7485, -12606, -20247, -30912?\n\"Answer: -84*g**3 + 3*g - 2121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-116 - -119)\/(3\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*v + 307*v - 17542 = -308*v for v.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28476884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7261129 or 7261131?\nAnswer: 7261131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-18) + (6 + 0)\/(-1). Sort r, 1\/2, 1\/5, 0.1 in decreasing order.\nAnswer: 1\/2, 1\/5, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 6:07 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -92*l + 97*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*k**2 + 0)*(78 + 37 + 74)*(-2*k**2 - 4*k**2 + 3*k**2) + 3*k + k**4 - 3*k + (2 - 2 - k)*(-2*k**3 + k**3 - k**3) + k**3 - k**3 + k**4.\nAnswer: -1130*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 4*i**2 - 5*i. Let o(j) = -2*j - 13. Let l be o(-9). Let n be m(l). Suppose 111 = s + 4*s + 4*y, -5*s + 2*y + 117 = n. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from {h: 8, b: 2, m: 2, n: 5}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 * -899\nAnswer: 116.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*(-2)\/(-1). Let k(w) be the second derivative of w**4\/12 + w**3\/6 - 12*w. Let s be k(h). Do 5 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 46322\/855 + 2\/9. Let v = c - 7886\/145. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 156, 151, 144, 135?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-1))\/(-40)*47490\/(-33243)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Let n(i) = i**3 - 15*i**2 + 2*i - 30. Let u be n(15). Solve o - m*o = u for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720544 a multiple of 368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0172406 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_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: What comes next: -78, -158, -236, -312, -386, -458, -528?\nAnswer: -596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 g, 1 x, and 1 e when four letters picked without replacement from {s: 3, w: 3, g: 8, x: 1, r: 1, e: 2}.\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8 = 4*j, 4*y = j - 3 + 2. Let i be 23\/j - (-2)\/(-6). Is 5 a factor of (30\/8)\/((-3)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**2*j - 16*f**2 + 16*f*j**2 + 139*j**2 - 33*j + 1 with respect to f.\nAnswer: -6*f*j - 32*f + 16*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 - (103 - 37 - 64)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -7. Let u(s) = s**2 - 5*s + 1. Let n be u(2). Let j = -231 + 235. Sort k, j, n in increasing order.\nAnswer: n, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v = -40. Suppose -3*r + 2*r = 1. Let d = r + v. Calculate the remainder when 17 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 14 = -y. Let w(g) = -g**2 - 9*g - 10. Let d be w(y). Suppose n = d*n. Solve 0 = -4*v - n*v - 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136\/840009 or 1?\nAnswer: 136\/840009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1292 - -1300.238. Round t to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.4, 1\/9, 2333, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 572666 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 158593822*w**2 + 376102301 wrt w?\nAnswer: 317187644*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 360*f**2 - 6*f**3 + 2*f**4 + 1 - 361*f**2 - f**4 + 0*f**4 to the form g*f + q*f**2 + o*f**4 + u + r*f**3 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 - 9374 = -5*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(72)*1 - sqrt(72)))**2 + (-1 + sqrt(72) - sqrt(72) - sqrt(72)) + -2 - (5*-2*(sqrt(72) + sqrt(72) + (-3 + sqrt(72) - sqrt(72))))**2)*-2.\nAnswer: -14388*sqrt(2) + 59398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000270832916 rounded to six decimal places?\nAnswer: 0.000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 5*c - 130, -10 + 53 = -117049*w + 117044*w + 2*c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4094215 to the nearest integer?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(99) - -4*(sqrt(99) + 2 + sqrt(99)))**2.\nAnswer: -8083 - 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - (sqrt(136) + sqrt(136)*-1 - sqrt(136))*-4 - sqrt(136))\/(sqrt(1000)\/sqrt(5)).\nAnswer: -4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1826 + 318 - 462)*(5 + 1 - 4)*(2 + 0 - 1 + 2 - 3 + 0 + (-1 - 3 + 2)*(1 + 2 - 4))*(-3*o**5 + 2*o**5 + 3*o**5).\nAnswer: 13456*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 48.4. Is r not equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16747416377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 + -0.02. Let m = 0.52 + -0.5. Let s = m - k. Which is the closest to 0.2? (a) 2\/11 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -1)*(6 - (-44)\/(-8)). Suppose s = 11*j - 80 - 184. Let x(l) = -17*l + 39*l - j*l. Let v(i) = -3*i. Determine 2*v(a) - 5*x(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(2\/24*-3). Suppose -2*k - 2*l - 154 = -7*k, 0 = -4*k + f*l + 116. Calculate the remainder when 125 is divided by k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16449366 - -63.\nAnswer: -16449303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 - 55*j - 132. Determine i(18).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 10*m**2 - 4*m + 35. Let w be (-6144)\/(-624) - 4\/(-26). Calculate d(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 301325\/42 - 7174. Let z = 12176 - 511363\/42. What is the common denominator of z and x?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1474)\/(-121) - 11) + 10\/(-55).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -656 + 657. Solve 0 = n - 2*f - 15, -4*f - q = 3*n + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g - 6. Let i = 18 - 23. Give v(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.8 and 1316018.\nAnswer: -14212994.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - d**2 - 2*d + 1. Let i be (-2)\/2 + (1 - 0). Let o be j(i). Calculate the common denominator of 4*26\/40*o and 16\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 6 = -5*t, -v - 25 = 3*t - 7*t - 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*h - 786*h + 2980 = 10581 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -19\/4, 6, 2\/11, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 - 6 + 26*g**6 + 9 + 18*g**2 wrt g?\nAnswer: 3120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 9 + -2 - (540 - 532)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -2\/40371, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 215\/172*(-14)\/35*(-8)\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*f - 84, -2*f - 8*p + 6*p + 60 = 0. Sort f, -12, -2 in increasing order.\nAnswer: -12, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 4*u**2 - 5. Suppose -4*y = 14 + 2. What is the remainder when b(y) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*-2 - -5*2. Suppose 8 = -5*m + 3*y, 11*m - 6*m = y + 4. Sort h, m, -3, -2 in descending order.\nAnswer: h, m, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 2*j**7\/105 - 11*j**6\/120 - 239*j**5\/60 - 260*j**2. What is the third derivative of i(k) wrt k?\nAnswer: 96*k - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 95*q**3 - 118?\nAnswer: 285*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5943 + -5947. Let x(n) = 7*n**2 + 17*n. Let r(o) = -3*o**2 - 8*o. Let z(f) = 5*r(f) + 2*x(f). What is z(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2349 - 305. What are the prime factors of g?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 403 - 402. Let z(d) = d**2 - d + 1. Let h(v) = -6*v**2 + 4*v - 10. Determine r*h(c) + 8*z(c).\nAnswer: 2*c**2 - 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -1\/21*a**3 + 0 - 1\/140*a**6 - 4*a**2 + 1\/28*a**4 + 0*a + 1\/210*a**5. Factor x(b).\nAnswer: -2*(b - 1)*(b + 1)*(3*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by 326927?\nAnswer: -67\/326927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 2*b**3\/3 - 23*b - 382. Let q(r) = -2*r**2. What is q(g(i))?\nAnswer: -8*i**4 + 184*i**2 - 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59 + -46 - (27 - 1)) + -9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7 - 1 - u**3 to the form r*u + z*u**2 + p*u**3 + w and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -417*f + 414*f + 147767, 197020 = 4*f - 2*q. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 5*s**2 + 4*s. Let i(p) = 3*p**3 + 15*p**2 + 13*p. Calculate 2*i(c) - 7*r(c).\nAnswer: -c**3 - 5*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -10, 4, 11, -1, -133691.\nAnswer: -133691, -10, -1, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6107*a**3 - 165*a**2*i + a*i + 3*a + 73497*i - 2 wrt a.\nAnswer: 36642*a - 330*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 925665339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-9))\/((-6)\/(-36)). Let n be 4\/(-6) + 2\/3. Factor 1\/3*x**2 + 0*x**3 - 1\/3*x**j + n*x + 0.\nAnswer: -x**2*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (2 - 3) - (-128 - -132).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -5. Let z = v - 20.6. Let h = -0.2238 + 3.2238. Sort 9, h, z in increasing order.\nAnswer: z, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 28*z + 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-five quarters of a second?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -654, -5075, -17058, -40389, -78854?\nAnswer: -136239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 7*y - 21. What are the prime factors of j(-6)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 881539*g**4 + 881518*g**4 - 3 - 31*g**3 - 1763076*g**4 as n*g + q*g**3 + d*g**2 + y*g**4 + h and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 12:26 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3451? (a) 46 (b) -5 (c) 160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13502879, 13502881, 13502883, 13502885, 13502887, 13502889?\n\"Answer: 2*z + 13502877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 6*t + 2. Let y be x(6). Suppose -10*m = y*m - 72. Let h(b) = -2*b**3 + 11*b**2 + 8*b - 7. Let i be h(m). Solve -n + 0 = i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*((-10)\/5)\/42?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**3 - 10*o**2 - 37*o + 160. Let j be b(6). Solve -4*r + 50 = -2*g + 58, -5*r = 5*g + j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31086*m**2 + 31066*m**2 + 116 - 209 + 93.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/15, 3, 163856?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/20*(0 - -4). Suppose 4*n + 3*u + 2 = w*u, -5*n - 8 = 4*u. Which is bigger: -1\/6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 318774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153 - -170. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*g = 131, 4*g + g + 37 = j. Let k = -83 - -179. Suppose 36*b = j*b + k. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1371 + 604. Let z = 1137 - -187. Let p = z + m. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 6*l + 6. Let i be n(7). Let u = 1 - i. Suppose -f - f = -8. What is the greatest common divisor of f and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 3*s. Suppose -2*r + 3*r - 11 = s. Suppose 10 = -4*b + 34. Calculate the remainder when r is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (909*j**2 + 934*j**2 - 1163*j**2)*(1 - 6 + 1)*(-j**2 - 3*j**2 + 5*j**2).\nAnswer: -2720*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 169295383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*h = 77 + 241 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 291 + -147. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(209) - (sqrt(209)*-3 - sqrt(209)))\/sqrt(11).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*n**5 - 114*n**5 + 279*n + 436*n**2 + 10711*n**3 + 396*n**4 - 9511*n**3 + 482*n**2 + 30 = 0. Calculate n.\nAnswer: -1, -2\/5, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 50*s - 967. Let v be k(65). Solve x + v*x = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7666182cm to kilometers.\nAnswer: 0.000007666182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 0*q**2 + 51*q**3 + 2*q - 56*q**3 + 2*q**2. Let l(d) = -9*d**3 + 4*d**2 + 4*d. Let r(x) = -x - 2. Let w be r(3). Determine w*u(p) + 3*l(p).\nAnswer: -2*p**3 + 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**4 - 4*k**4 + 4 - 2 - 5*k**2 + 4*k**2 to the form p*k**4 + c + g*k**3 + q*k + a*k**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 - 2*y**3 + 2*y**3)*(1 - 1 - 2) - 3*y**4 - 3*y**4 + 5*y**4 - y**4 + 3*y**4 + 0*y**4 + (5*y**3 - 3*y**3 - 3*y**3)*(-2 - 2*y + 2).\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z. Let t be o(-4). What is the closest to 1 in -4, t, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*l - 4 = -0*l, -3*l = 3*d + 12. What are the prime factors of d\/(13\/(-1077)) - (-222)\/1443?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -9*f + 99. Let s(y) = 4 - y + y**2 + f + 7*y. Let u be s(-4). Let d(q) = -q - 7. Determine d(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -16. Let d(c) = c**2 - 3*c - 2. Let l be d(4). Suppose 0 = l*i - v*i. Solve b + i = 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/14955472 and 65\/17091968?\nAnswer: 119643776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*z - 6797 - 10495. Let o = z + 2121. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12730807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**3 + 29*v**2 + 112*v + 110. Determine y(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 253, 1741, 4361, 8113, 12997, 19013, 26161?\n\"Answer: 566*h**2 - 210*h - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -7. What is the first derivative of -9*u**2 + y + 4*u**2 + 3*u**2 - 2 wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3436, 36, -5, -2, 0 in decreasing order.\nAnswer: 3436, 36, 3, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + -126 + (42 - -72)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 6:15 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 790283?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(15\/2)*j\/(j**(22\/7)\/j))\/(j\/(j\/(j**16\/j)))**(-48) assuming j is positive.\nAnswer: j**(10169\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 - 1.311. What is z rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -257. What are the prime factors of n?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uva when three letters picked without replacement from looavooovooouuoaulo.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -551 - -554. Which is the biggest value? (a) j (b) 2\/57 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-6\/11))*c*c**(-1\/4)*c)\/(c**(-13)*(c\/(c\/c**0))\/c) assuming c is positive.\nAnswer: c**(669\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + h + 3, -12 = -i + 4*h - 0*h. Let n = 107\/4 + -209\/8. Is i smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0.1. Let u = 0.1 - -1.3. Let i = u + -1.8. Put i, 0.5, n in decreasing order.\nAnswer: 0.5, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 3*a - 54. What is k(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33787.5 rounded to the nearest 100?\nAnswer: 33800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 517427 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 238619882*i + 500877460 wrt i.\nAnswer: 238619882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80913?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 544.8272 nanograms?\nAnswer: 0.0005448272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 120, -1, -33 in increasing order.\nAnswer: -33, -5, -1, 5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349 - 88 - 82 - v**2 - 84 - 95.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/7 + 12\/7*z + 3\/7*z**2.\nAnswer: 3*(z + 1)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q**2 + 4*q - 8. Let j be k(-4). Let h = -95 + j. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -46, -60, -80, -106?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22408.73857 rounded to the nearest 100?\nAnswer: -22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k**5 + 28*k**4 + 248*k**3 - 28*k**2 - 240*k = 0.\nAnswer: -4, -1, 0, 1, 15\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/275)\/(9\/30)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/12 + 170\/(-60). Is (4 + 3)*z\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12220 - 1001?\nAnswer: -20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -61*c**3 + 7*c**2 - 7*c. Let k(s) be the first derivative of 31*s**4\/4 - 4*s**3\/3 + 2*s**2 + 1023. Calculate -4*i(b) - 7*k(b).\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -152*x. Let v(n) = -37*n**2 + 2*n - 18. What is v(k(i))?\nAnswer: -854848*i**2 - 304*i - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -164, -284, -406, -530?\n\"Answer: -l**2 - 117*l - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 28 = 4*o, 558*l = 556*l - 79 + 71 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001001001011 (base 2) in base 11?\nAnswer: -3578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 13*b - 14. Let l be h(-5). Let s be (l - 6*1)*(-1)\/1. Solve -3*f - 4*g + 8 = 0, 5 + 5 = f + s*g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0326018 in 9, 3\/5, 1, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 36?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 42991.\nAnswer: 128973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k**2. Let h(b) be the third derivative of -181*b**4\/24 + 2*b**2 - 123*b + 3. Calculate y(h(j)).\nAnswer: -262088*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/105)\/(144\/120)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141917146*d**6*w**3 - 13*d**2*w**3 - 3040*d**2 - 7*w**3 + 13*w**2 wrt d?\nAnswer: 17030057520*d**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -i + 14, 3*i = 2*k + 3 + 7. Suppose -21 = -i*l + 3. Suppose -96 = -v + 5*d - 5, l*v - 322 = -d. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/12*(-109)\/(10355\/(-114))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 168 and 768?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -1 + -2)*-1. Suppose y*z - 18 = -4*p, -2*z - z = -p - 13. Suppose 5*h - 117 = -g, p*h + 5*g - 33 = h. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y. Let s(t) = t**2 - 5*t. Suppose -5*q - 40 = 5*o, q = o + 3*q + 13. Let d(i) = o*a(i) - s(i). Suppose d(g) = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3243732 to the power of 1\/3, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 16 = 3*z, -2*j + 0 = -2*z - 4. Let l = 0.07 + 0.03. Sort -48, 0, l, z in descending order.\nAnswer: z, l, 0, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1227343*z**2 - 97499*z**2 - 647459*z**2 + 1746063*z**2.\nAnswer: 2228448*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i - 17*i - 3 + 7*i. Let k be -1 + (-1 - -8) + 0. Let a(z) = 2*z - 2 - k*z - 11. Give -2*a(l) + 9*n(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1260)*-3)\/sqrt(5) - (4*(sqrt(567) + 3))**2.\nAnswer: -9216 - 882*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 12:58 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6 + 31*i - 5*i + 9*i + 4. Is q(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-2*sqrt(20)*-4)\/(-2*sqrt(16)))*-2)**2.\nAnswer: 32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c - 20 = 0. Let x be 5\/(-1) - (c - 8). Let l be -8*(x - (0 - -4)). Calculate the greatest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38019260*p**3 - 8*p**2 - 32333*p + 2 wrt p?\nAnswer: -228115560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 19 + j + 33*j + 16 + 4*j**2 - 48.\nAnswer: 4*j**2 + 34*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*h - 54*h + 2537 + 169. Solve 4*p = -45 + h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1994724151?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**7\/840 - q**6\/240 + q**5\/240 + 3*q**2. Factor t(m).\nAnswer: m**2*(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2079*l + 62375. What is a(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*w = 5*o - 36, -3*o - 2*w = -19 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 35338.09 to the nearest one hundred.\nAnswer: 35300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwb when four letters picked without replacement from znnwb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*i**3 + 0 - 2157\/4*i + 361\/2*i**2.\nAnswer: -i*(i - 719)*(i - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v + 1. Suppose -3*f - 18 = -0. Let h be o(f). Let m = h + -27. What is the least common multiple of 2 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8.3 (b) 34537 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -15.6650666.\nAnswer: -15.9650666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y + 7*y - 4*y**2)*((1 + 0 - 3)*(-3*y**2 + 1 - 1 - 2*y) + (3*y**2 - 2*y**2 + 0*y**2)*(2 + 6 + 8)).\nAnswer: -88*y**4 - 16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(459)\/(sqrt(18)\/sqrt(2)))\/(-6*(sqrt(3) + 2*sqrt(3))) + sqrt(51)\/sqrt(3) + 2 + -2*sqrt(1088) + 0))**2.\nAnswer: -8672*sqrt(17)\/9 + 4999172\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*c - 14, -3*c + 7 = 3*o + 4. Let u = 1.3 + -1. What is the second biggest value in o, u, 1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -70, -45, 6, 95, 234, 435?\n\"Answer: 2*w**3 + w**2 + 8*w - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 15 = 2*s, 5*p - 2*s - 7 + 22 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**4 - 236*j**3 + 714*j**2 - 716*j + 239 = 0.\nAnswer: -239, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 6:52 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (5118 - 5097) + (-1 - 66)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 15393748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, z: 9, p: 8, r: 1}. What is prob of picking 1 z and 1 r?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3579189 to the power of 1\/2, to the nearest integer?\nAnswer: 1892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106\/(-40)*8*(0 - 14 - 15066\/(-1134)).\nAnswer: 106\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8402, -8491, -8638, -8843?\n\"Answer: -29*g**2 - 2*g - 8371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.9 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - r + 11. Let i = -6 - -4. Let f be 2\/i - (-3)\/3. What is the tens digit of d(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*a + 103*a = 48 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -86*(0 + -1) + -2. Let k = s + -60. Suppose q - 4*q = -k. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y - 38. Let j be g(-7). Let r(p) = -2*p**3 + 2*p**2 + 3*p + 3. Let q(h) = -4*h**3 + 3*h**2 + 5*h + 5. Calculate j*q(l) + 5*r(l).\nAnswer: 2*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*q = -8 + 57, 0 = -2*q + 6. Calculate the least common multiple of f and (-4)\/((-12)\/(-3)) - -9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/166740 and -38\/15?\nAnswer: 166740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -13*x - 9. Let i be s(10). Let o = i + 553\/4. What is the biggest value in 2\/7, o, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, d: 2}. What is prob of picking 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - 6*813\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -74 - 6*s + 26 + 25 + 25. Let x(v) = -5*v + 2. Calculate 3*q(d) - 4*x(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 4702?\nAnswer: 4697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257252582.\nAnswer: 2, 139, 925369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -175 (b) -3 (c) 7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((90\/5)\/2)\/(((-3225)\/301)\/75).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3)*g)**(15\/2)\/(g**(-1\/3))**4)\/((((g*g\/g**(-1\/5))\/g*g*g)\/g**(-2\/13))\/(g**(-3\/2)\/(g*g**(-8)*g))) assuming g is positive.\nAnswer: g**(4867\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(425) + sqrt(425) + sqrt(425))*4)**2 + -3 - (((sqrt(425) + 1)*-1 - sqrt(425))*3)**2.\nAnswer: 300*sqrt(17) + 45904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127*d**4*s**2 + 1305*d**3*s**2 + 5*d*s**2 + 77780*s wrt d?\nAnswer: 1524*d**2*s**2 + 7830*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3\/3 + 95*n**2\/3 + 175*n\/3 + 85\/3.\nAnswer: 5*(n + 1)**2*(n + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 11*f**2 + 8*f - 13. Calculate i(-12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 j when three letters picked without replacement from {j: 3, p: 3, e: 2}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(0*k + k + k + 2*k - k + 0*k + (k + 1 - 1)*(-6 + 4 + 3) - k + 5*k + 11*k) + (-4*k - k + 4*k)*(-2 - 4 + 4) - 2*k + 2*k - 3*k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 1. Let k be j(3). Suppose 3*w - k*o = 10, -w - 3*w = 2*o - 4. What is the third derivative of -m**w - 4*m**4 - 5*m**2 + 3*m**4 + 6*m**4 wrt m?\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*n - 14 = 273*n. Put n, 6, 24, 5 in descending order.\nAnswer: 24, 6, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 551 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21524198*p*q + 4*p + q**2 + 1913497 with respect to q.\nAnswer: 21524198*p + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1. Let k(o) = -o**3 - 32*o**2 + 145*o + 32. Let x be k(-36). Let z(g) = 6*g**2 + 2*g + 4. Determine x*p(s) - z(s).\nAnswer: -6*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 6:29 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5373, -5378, -5387, -5400, -5417, -5438?\nAnswer: -5463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 321*w. Let g(s) = 2*s**2 - 4. Calculate g(n(i)).\nAnswer: 206082*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 0*f - 1 + 7 + 5*f. Is 18 a factor of o(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 z when four letters picked without replacement from sszzzzzsssszsqzszssz.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/10 - w**4\/24 - w**3\/6 + 4*w**2. Let l be b(-1). Find the first derivative of 1 + 0 - l*z**2 + 6 wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/8)\/((-3)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57)\/(-38)*34\/8*40\/(-15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7757159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o - 27. Determine k(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*1\/(-1 - -2). Let s(f) = 4*f + f**2 + 8 - p*f**2 + 2 - 4. What is the units digit of s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 15*m**3 - 87*m**2 + 7*m**3 + 0*m.\nAnswer: -8*m**3 - 87*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153203*k**3 + k - 870045 with respect to k.\nAnswer: -459609*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21022412 - -112?\nAnswer: 21023024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-28))\/(63\/252)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 9*v - 14 = -u + 9*v, -5*u - 30 = 5*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 2*q - 1. Let t be d(1). Suppose t = j + 3*h + 10 - 5, -2*j = -5*h - 23. Solve -j*o + 6 = -10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i + 99 = -k, -2*i + 8 = 0. Let j be k\/(-15) - 4\/5. What is the highest common factor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -0.07 (b) -1\/3 (c) 0.3 (d) 467\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1720 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 3*f + 5*x - 30, 3*f - x = 30. Suppose 3*z - 6*h - 64 = -f*h, -4*z + 60 = -h. What is the lowest common multiple of z and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + 131122200?\nAnswer: 131122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1000, -1088, -1174, -1258, -1340, -1420, -1498?\n\"Answer: m**2 - 91*m - 910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 30. Suppose -2*u = 5*g + a, -1 = -g - 5*u + 12. Let i = 34 - 34.4. What is the nearest to 0.2 in g, 0.4, i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11121 (base 3) to base 4.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72016190 to the power of 1\/3, to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**3 - 4*v**3 - 4*v - 2*v + 70 - v**2 + 2*v. What are the prime factors of h(0)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/567)\/((-2)\/(-12)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3526 - 1.3?\nAnswer: -3527.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*j**2 - 12155*j + 39715 = 0. What is j?\nAnswer: -611, 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330665 divided by -266133?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1588.0221 - -1573.23. Let m = 14.8 + n. Round m to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**(2\/19))))**(-4) assuming v is positive.\nAnswer: v**(-84\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r. Let t = 20 + -25. Let c be 4\/t*(-25)\/10. Let x(a) = -a**2 + 3*a**2 + 3*a**2 - 4*a**c. Give n(x(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 59. Solve -5*m + 3 = -t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, q: 3, l: 5, j: 6}. What is prob of sequence jlq?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 35*z - 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 27376828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 14938\nAnswer: 1493.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35, -25, -9, 13, 41, 75?\n\"Answer: 3*k**2 + k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3479 + -2.6521. What is the nearest to -6 in -4\/17, -1, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12820256 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: Round 1.875738238 to 4 dps.\nAnswer: 1.8757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l**2 - 4139*l - 13979. Calculate n(-514).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -696 - 324 = -68*w. Solve -5*f = w*f - 60 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. Suppose 0 = 4*c - 0*c - 16. Factor -4*u**2 - 2*u**2 + 3 - u**4 + i*u**c.\nAnswer: 3*(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 185173 and 2461?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184733.3 - 0.3.\nAnswer: 184733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7967315ml in litres?\nAnswer: 0.0007967315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19.82 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(768)\/sqrt(6) - sqrt(686)\/sqrt(7).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1016 and 44.901.\nAnswer: -971.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/(-18) + 2)\/(187\/(-62) - -3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**3\/3 - 1. Let x(n) = -3*n**2 - 15*n**2 - 2*n**2. Calculate g(x(q)).\nAnswer: -400*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p + 6. Suppose -p*r + 0*r = -90. Calculate the remainder when r is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - 3*a - 3*a + a + 21*a**2.\nAnswer: 28*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544619 is divided by 643?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1364112 is divided by 4820?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 244072017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1)**(-8\/7))**(-38)*(r**(-1\/2)\/r*(((r\/(r*r*r*r\/r**4))\/r)\/r*r)\/r)\/(r**(2\/25)*r**(-1\/2)) assuming r is positive.\nAnswer: r**(7236\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 205235*f**2*w**2 + 18*f**2*w + f*w**2 - 18*f*w - 54*f - 2*w**2 + 24*w - 9 wrt f.\nAnswer: 410470*w**2 + 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1243414 + 1232?\nAnswer: 1244646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -1023?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.55 + -21. Let t = 0.05 + q. Which is the third biggest value? (a) t (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11925471 and 111453?\nAnswer: 11925471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31488.834 - 31443. Let f = 46 - a. Let n = f - 0.06. What is n rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7483 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 d when three letters picked without replacement from {e: 1, w: 3, m: 3, b: 1, d: 3, l: 2}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12380 is divided by 6122?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6580768 decades?\nAnswer: 78.969216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 383755213*h**5 - 191747505*h wrt h?\nAnswer: 7675104260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k + 0*k - 2*k)*(1 - 5 + 1) + (-3*k + 0*k + 6*k)*(2 + 2 - 5))*(-13 + 13 + 4*k + (-4*k + 0*k + 6*k)*(-4 + 5 + 0) - 2*k - 2*k + 3*k).\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.59 + -192.\nAnswer: -187.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggygsgygwygs. Give prob of picking 2 y, 1 s, and 1 w.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-20\/3)*d**12*(d*d*d**(-35))\/d*d*d\/((d*d*d**(-18))\/d) assuming d is positive.\nAnswer: d**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*d - 54. Let q be 4\/(-26) + d\/13. What is the units digit of (6\/(-7))\/(q\/(-84))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**9\/1512 - n**5\/15 + n**3 + 4*n**2. Let l(q) be the first derivative of b(q). What is the second derivative of l(j) wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 n when four letters picked without replacement from {n: 12, g: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24250.293 - 24260. Let v = 1.677 + s. Let k = 8 + v. What is k rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -45*s + 276. Let u(q) = 24*q**3 + 2*q**2 - q. Calculate the remainder when u(1) is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1 + (-126 - -131) - 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**(-3\/7))))\/((y**(9\/5)\/y)\/y))**(-16\/7) assuming y is positive.\nAnswer: y**(-912\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -312*g**3 - 5*g**2 - 61*g - 617. Is y(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 25*p**2 + 57*p - 83. Determine g(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -0.007 (c) 2 (d) 3 (e) 421 (f) 255\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 12:01 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(28) + 4 + 1)*-5)**2*-4.\nAnswer: -8800 - 3000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/5 - 18*m**2 - 864*m\/5 + 3456\/5 = 0.\nAnswer: -24, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1372 - 1346. What is the second biggest value in -1.1, -4, c?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68618013091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*y - 0*y. Suppose 4*u - 24 = 5*x + 10, -u + 2 = 2*x. Determine n, given that n**2 + 12*n**3 + 0*n + u*n - 16*n**y - 3*n**4 + 0*n**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + o = 4*g - 181, 3*g + o - 134 = 0. Calculate the greatest common factor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*1\/15)\/(1\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37667506 or -37667509?\nAnswer: -37667506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 12204*j**2 + 24822936*j + 16829950608.\nAnswer: 2*(j + 2034)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 0*n**6 - 3*n**3 + 3*n**3 + n**6 + 15 + 8*n**2. What is the second derivative of d(i) wrt i?\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 7:39 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**6\/120 - 7*w**5\/60 + w**4\/12 + w**3\/2 - 12*w**2 - w. Let m = -3 - 4. Determine i(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.3 * -1.4.\nAnswer: -6.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12910\/14623 equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 41.61 * -0.4.\nAnswer: -16.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o + 7805 = 20200 + 16585. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -0.416.\nAnswer: -0.3328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*j**2 + 5*j**2 + 4*j**2 as m*j + x + v*j**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 5 = -3*z. Let q = -3.8 - -4. Let p = q - 0. Which is the third smallest value? (a) z (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 1729?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 21.9. Put -0.092, r, 3\/2, 0.5 in ascending order.\nAnswer: r, -0.092, 0.5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 372 - 354. Let g be 22\/132*(y\/4 - 0). Sort -3, -0.07, 2, g in ascending order.\nAnswer: -3, -0.07, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*u + 2*u + 17 = 0, 5*w - 61 = 2*u. Find the common denominator of ((-77)\/3)\/w*(-42)\/(-4) and -139\/114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8061 - -8077. Let l(m) = m**3 + 5*m**2 - 8*m - 8. Let z be l(-6). Solve z*o - 4*q + 16 = 0, 4*o - 2*q - 2 = -x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13227, -13222, -13217, -13212, -13207, -13202?\n\"Answer: 5*u - 13232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**4 + 46804*g**3 + 96612*g**2.\nAnswer: 72*g + 280824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10*x**2 - 166*x - 503. Give t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/56095 and -71\/10.\nAnswer: 112190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6368, 25037, 56000, 99257?\nAnswer: 154808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53.4 + -49. Let l = 4 - b. What is the third biggest value in l, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 358 - 459.5. Let v = -214 - b. Let m = v + 113. Put 0, -13\/9, m in ascending order.\nAnswer: -13\/9, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3010176 and 2808.\nAnswer: 3010176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10406 + 3841?\nAnswer: 14347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/1155 + 458\/1155. What is the closest to -2 in 13, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33660 + 20649. Let a = 22264 + u. Suppose 0 = -3*n + a + 4388. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-1 - 5\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142196689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25597 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 339 and 93?\nAnswer: 10509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 186994513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962700 rounded to the nearest 10000?\nAnswer: 1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 + 1336?\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**2 - 2*q - 62. Let k be o(-9). Let g(p) = 6*p**3 - 2*p**2 + 1. Let n be g(1). Solve -n*a + a + k = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161328361447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.9 and 13.226?\nAnswer: -91.2594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -22367.2 to the nearest one hundred.\nAnswer: -22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5603 + 0?\nAnswer: 1.5603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -3, 40 in descending order.\nAnswer: 40, 6, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424, -447, -476, -511, -552?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m + 3. Let f = -11 - -18. Let g = f - 10. What is v(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/5, -2.75, 1\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -9. Let n(s) = 10*s**3 + 10*s**2 - 7*s - 10. Let h(x) = 3*x**3 + 11 + 3*x**2 + 0*x + 11 - 2*x - 25. Calculate u*h(q) - 2*n(q).\nAnswer: q**3 + q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = 4*o. Let u(w) = 32*w**2 + 289*w + 8. Let q be u(-9). Which is the closest to 3? (a) o (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*z + 4, 0*i - z + 9 = 3*i. Does 3 divide (i\/1)\/((-1)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*g + 38*g - 13057*g**2.\nAnswer: -13057*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -739*a + 1449*a + 25*a**2 - 726*a.\nAnswer: 25*a**2 - 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96960 is divided by 2688?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 774, -2\/7, 0, -14 in ascending order.\nAnswer: -14, -2, -2\/7, 0, 774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 183 + -183. Let u(y) be the second derivative of 0*y**3 - 4*y + s + 1\/12*y**4 + 3\/2*y**2. What is the first derivative of u(t) wrt t?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 208*u + 601. Calculate k(-2).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 21*u + 32 = 0. Calculate the smallest common multiple of ((-2)\/6)\/(2\/(-18)) and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83\/13 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8056024 and 69736.\nAnswer: 3032","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94 - -34. Suppose 4*d = -4*w + b, 3 = -d + 6. What is the remainder when w is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/350)\/(15\/50).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 1 + 4*m - 2*m + (-2 + 2 + 2*m)*(5 - 1 - 3).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 36470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 7:13 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -17. Suppose s*q = 77 + 113. Suppose -3*b = -x - 0*x + 34, -b = -x + q. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9325 - 55643 = -4*a + 5*u, 46310 = 4*a - u. List the prime factors of a.\nAnswer: 3, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13221, -26439, -39649, -52845, -66021, -79171, -92289?\n\"Answer: b**3 - 2*b**2 - 13219*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-12)\/(-144)*92.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96741803 divided by 1?\nAnswer: 96741803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 + -712\/7. Which is the closest to t? (a) -2 (b) 2\/13 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6140 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 482407548 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-4 + 13 - -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*sqrt(704) + 1 + -4*(-3 + sqrt(704) + sqrt(704)) + -6*(sqrt(704) + -1 + 2)*3)**2.\nAnswer: 440000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.65658 and 3.\nAnswer: -4.96974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99*k**3*o**3 - k**3*o**2 + 6020*k**3*o - k**3 + 178*o**2 wrt o.\nAnswer: 594*k**3*o - 2*k**3 + 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) 4.704 (b) -1\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 - 5)*(-8*v**4 - 6*v + v + 4*v) as h + o*v**3 + d*v**4 + j*v + s*v**2 and give d.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 9:55 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-26)\/(-4) + -4)*2. Suppose 5*y - 101 = -2*l, -4*y - t*l = -0*y - 91. Solve 9 - y = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f - 8. What are the prime factors of z(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**5\/4 - 65*k**3\/6 - 30*k**2 + 55*k + 1. Let t(g) = 0. What is g?\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 29, -18, -0.027?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 16 = -5*z, 4*n = 2*z + 2*n - 16. Suppose i + 2*k - 129 = 3*k, -z*k = -2*i + 250. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/(-6) + (-1)\/(-3). Let y = d - -38. Suppose -2*c - 7*r = -3*r - 40, 0 = 5*r - 20. What is the remainder when y is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = -4*i + 605, -4*q + 2*i + 836 = 0. Suppose 318 = 5*s - q. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/749 and -51\/70?\nAnswer: 7490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23, -26, -33, -44, -59?\n\"Answer: -2*a**2 + 3*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*v**2 + 33*b**2 - 32*b*v**2 - b + 2*v**2 wrt v.\nAnswer: 4*b**2*v - 64*b*v + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2995 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: Is 2556795 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/10)\/((-86)\/5 + 17). Let b = 2.4 - 2. What is the nearest to 2\/5 in k, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*m + 12314 - 1802 = 0 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30 + 2)*(-2)\/4. Suppose 6*p - 3*p - 10 = -2*y, -o = -2*y - 5*p. Solve y*r + 4*u = -14, -r - 2*r + 5*u + 12 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 12 = 5*d. Suppose d*i - 16 = 4. Suppose -4*f + 5*c = -34, -c + 2*c + 2 = 0. Calculate the lowest common multiple of f and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, x: 11}. What is prob of sequence xj?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Let h(a) be the third derivative of a**5\/60 - 14*a**3\/3 + 185*a**2. Calculate h(b(v)).\nAnswer: v**4 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - z. Suppose m + 1 = -4*r - 3, 0 = 4*m + r + 1. Let p be n(m). Calculate the lowest common multiple of (2 + p)\/((-4)\/(-14)) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 1540.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6*(1 - -2). Let f(j) = -j + 1. Let l(o) = -o**2 - 8*o - 4. Let z be l(-6). Let t(n) = 1 + 4*n**2 + 11 + 0*n - z*n**2 - 12*n. Give x*t(u) - 12*f(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 q, and 1 s when three letters picked without replacement from ddjjsjsddddjqdqjd.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-6) - (-10)\/15. Suppose -3*f - c = 3*p, -f - f + 4*p = -22. Find the second derivative of 5*j**2 - f*j**4 + 2*j - 5*j**2 wrt j.\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l = 40*l. Suppose -11*t - 5*t = l. Solve -4*a - 4 = t, -11 - 4 = 4*h - a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (16 - (-16 + 6 - -21)) - 1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1699*h - 137*h - 26*h**2 + 2421*h + 5.\nAnswer: -26*h**2 + 3983*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3 + 3. Let z be 30\/(-12)*132\/(-165). Solve -z*j = j + m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-120)\/270)\/(4\/(-18)). Let h be (-1)\/(-11)*r + 42\/(-110). Let j(v) = -v - 1. Let y be j(-2). What is the closest to -2\/7 in h, y, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1094 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*u**2 + u - 48*u**2 - 46*u**2 + 140*u**2.\nAnswer: 17*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 7*t - 2. Let k be g(8). Let l be 6\/(3 + 0)*k. Let d(i) = -l*i + 7*i + 1 - 1. Let q(n) = 3*n**2. Calculate q(d(y)).\nAnswer: 75*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2. Let u(f) = 15*f - 150. Calculate -225*a(t) + 3*u(t).\nAnswer: 45*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6369049039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**4\/12 - 3*n**3 - n**2 + 1699*n. Give r(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 518 = 2*h - 5*n, -5*h + 10*h - 1272 = n. Let c = -163 + h. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68 - 63. Suppose 0 = -h*t - t + 126. Find the first derivative of -7 - 14 - 21*u**4 + 14 - t wrt u.\nAnswer: -84*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12 + 12)*(-2)\/(-4). Let n(x) = -2*x. Let d be n(-2). Suppose d*w - 379 - 201 = t. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 884.229 + -892. What is m rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 489 + 9916. What are the prime factors of b?\nAnswer: 5, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 39, 4, 2464, -3 in descending order.\nAnswer: 2464, 39, 5, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 70, 418, 782, 1162, 1558?\n\"Answer: 8*g**2 + 324*g - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 0, 1.\nAnswer: -3, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 3) + 3 + (12 - 7). Let x(m) = 12 - s*m + 11 - 23 + 3*m. Let w(f) = -27*f. What is x(w(p))?\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 15*o - 17. Let y be z(-13). Suppose 5*a + y = 4. Does a = 5\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and -26 + 26 - ((-13240)\/4 + -4).\nAnswer: 3314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 0*v**4 - 5\/2*v**2 + 0*v**3 + 0*v + 0*v**5 - 2\/3*v**6 - 3. Find the second derivative of g(n) wrt n.\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1698012.\nAnswer: 2, 3, 101, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256265?\nAnswer: 3, 5, 27917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-58 - (-113 + 34))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*i - 14, 3*l + 10 - 1 = -3*i. What is the units digit of ((-14)\/(-8))\/(l\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -466334396 + -0.3.\nAnswer: -466334396.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 182.7 times -35\nAnswer: -6394.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + -4*(-2 - -1). Let x be (4\/(-3))\/((-1144)\/156). What is the smallest value in -1, s, x, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 y when three letters picked without replacement from dmyymgydmd.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6833, 6836, 6867, 6938, 7061, 7248?\n\"Answer: 2*u**3 + 2*u**2 - 17*u + 6846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 45 = 5*b, 2*t = -b - t - 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 1 + h**2 + 10*h - 2\/3*h**3. Calculate the smallest common multiple of 16 and l(0).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21106734 divided by -11.\nAnswer: 1918794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600125325 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -3*f**5\/40 - 15*f**4\/32 - f**3 - 3*f**2\/4 + 82. Factor g(n).\nAnswer: -3*n*(n + 1)*(n + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + 0*m**2 + 4*m**2)*(45 + 45 - 13)*(-1 + 1 + 2)*(3 + 9 - 54) to the form v*m**2 + f*m + l and give v.\nAnswer: -12936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -25 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 8. Let z be p*(-2)\/8*-3. Let r = z + 6. Solve -3 = -r*d + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12 - 17 - 16 - 112*v - 5 wrt v?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 413 by -3.\nAnswer: -413\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10815697296 + 5.21.\nAnswer: 10815697301.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2\/6 - 1121998*s - 6731989\/6 = 0. Calculate s.\nAnswer: -1, 6731989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1146, -2285, -3418, -4545, -5666, -6781, -7890?\n\"Answer: 3*q**2 - 1148*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**6\/120 - g**5\/12 - g**4\/6 + 5*g**3\/6 + g**2 - 1. Let u(l) be the second derivative of d(l). What is u(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -807 + 7973. Let q = s + -14766. Round q to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56667 - -1354?\nAnswer: -55313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + 0 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 213863534 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in centimeters?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -18*s. Let a(k) = 134*k**2 + 3. What is a(v(u))?\nAnswer: 43416*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2737 and 5.\nAnswer: 13685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**(-12\/13)\/(x*x*(x\/x**(-1\/19)*x)\/x*x*x**(-18)))**(-23) assuming x is positive.\nAnswer: x**(-565133\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 7 - 15 + r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-4)\/u*u)\/u)\/(u**(-7)*u)*u**2\/(u\/(u*u**6*u)))\/((u**1)**(9\/2)*(u\/u**(4\/5))\/((u\/(u\/u**(2\/7)))\/u*u)) assuming u is positive.\nAnswer: u**(461\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 1. Let l(q) = 1. Let c(p) = -d(p) + 4*l(p). Suppose -7*n + 27 = -1. Suppose n*m - r + 33 = 8*m, m - r - 12 = 0. Calculate c(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 200*k**7\/189 + 112*k**6\/27 - 59*k**5\/45 + k**4\/9 - 713*k. Let g(j) = 0. Calculate j.\nAnswer: -3, 0, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001203 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.5 (c) 0.3756\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2547 - -45)*(-19)\/(-3). What is v rounded to the nearest 100?\nAnswer: -15800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 2*v**2 + 2*v - 10. What is i(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09523 - 3553.10477. What is q rounded to the nearest 10?\nAnswer: -3550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*b**2*j**2 + 12*b**2*j*r + 13*b**2*r + 19*b**2 - 3*b*r + b - 2*j**2*r wrt j?\nAnswer: 20*b**2*j + 12*b**2*r - 4*j*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15720 * 0.8.\nAnswer: 12576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 293756+144\nAnswer: 293900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885 = -11*a - 146*a - 138*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -91*k**4 + 3744*k**3 - 2477*k**2 + 340*k + 17. Let w(j) = 15*j**4 - 624*j**3 + 413*j**2 - 56*j - 3. Let l(h) = 6*q(h) + 34*w(h). Factor l(b).\nAnswer: -4*b*(b - 34)*(3*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/195444 and 47\/1921866.\nAnswer: 11531196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 787645 divided by 157529.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 9*k**2 - 18*k + 4. Give b(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/30466 and 97\/106?\nAnswer: 1614698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 22*g**2 - 189*g - 1664. Give t(-6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34554166, 69108329, 103662492, 138216655, 172770818, 207324981?\nAnswer: 241879144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17583473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 71?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*y - 3 = 3*g, -4*g = -5*y - 12. Suppose 0 = -o - g*o - 20. Let n be o + 3 + 6\/1. Solve n*b - 8 = -0*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011210 (base 3) to base 9\nAnswer: -4153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1137*0.2\nAnswer: -0.02274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5 - 16*q**3 - 218*q**2 - 3*q**4 + 972 + 245*q**2 - 29*q**3 + 648*q.\nAnswer: (q - 6)**2*(q + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, c: 2, q: 3, p: 2, z: 6}. Give prob of sequence zqmp.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151 + -150. Solve -j + w = -9, j + t = -0*w - w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19592 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*p + 14*p + 24. Suppose 5*t + 4*k = 3947880, 4*t - 4*k + 3158300 = p*t. Suppose 4*n + 3970420 = -t. Round n to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4126, 17237, 39104, 69739, 109154?\nAnswer: 157361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -38*u**2 - 5*u - 8. Let x be i(-3). Let v = 530 + x. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 88 + 2496 = 0. Suppose 11*y = -3*y + j. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -40*q + 2005. What is m(52)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/119 (b) -0.011 (c) 17219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 363630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.4 (b) 2\/3 (c) -0.1 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 39, 67, 117, 195, 307, 459, 657?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108.0753 + 108. Let h = -4 + 4.08. Let f = h + r. What is f rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 139240*n + 139235.\nAnswer: 5*(n - 27847)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19 - 2*w**3 + 16 - 31 + (-w + 3*w + 2*w)*(3*w**2 - w**2 - 4*w**2 - w - w**2 + w + (w - w - w)*(-1 + 1 - 2*w) + 3*w - 3*w - 2*w**2).\nAnswer: -14*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -413*u. Let l(r) = -819*r**2. Give s(l(c)).\nAnswer: 338247*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**2\/6 + 5*x\/6 + 4 = 0.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (4\/20 - (-153)\/(-15)). Let o(l) = -l**2 + 7*l + 43. Let q be o(h). Solve -15*t = -q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4000 and 4000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -250*c**5 - 33*c**2 - 2 wrt c.\nAnswer: -15000*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -5 (b) 9 (c) -3 (d) 354057\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -228042.4 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-15 - 3) + 34 + -30?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -663*s**3 - 697*s**3 + 1369*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 671?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 26448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181 - 181.4. Let k be ((-14)\/(-8))\/((-1)\/4). Sort w, 3, k.\nAnswer: k, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -6)\/(16 + -9)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -803, -1618, -2447, -3296, -4171, -5078, -6023?\nAnswer: -7012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 3*x - 2. Let j(q) = -q**3 + q + 6. Let y be j(-4). Let d = y + -70. Determine g(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -7, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-27)\/(-12))\/(((-96660)\/160)\/(-179)))\/(4\/(-342)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*r - 5*p + 18, -4*p + 10 = -r. Let a(m) = -m**2 - 8*m - 8. What is a(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 5*u + m + 95, u - 5*m = 91. Suppose r - 23 = u. Let h be -3 - -5 - 2 - r. Round h to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -643 + 3211\/5. Which is the third smallest value? (a) 2 (b) 10\/7 (c) -0.1 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -3764, 3\/5, 1, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 3*b + 2. Let f be x(3). Suppose -f*y - 12 = 4*r - 0*y, -5*r = y + 18. Let u(w) = -w - 6 + 0*w**3 - w**3 - 4*w**2 - 2*w. What is u(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2417 - 239 = 332*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-24) + 59\/(-236) + 40279\/3?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258319*l**3 + 258318*l**3 - l + l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 412?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-120))\/(-5 + (-115)\/(-25))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57234846 to the power of 1\/2, to the nearest integer?\nAnswer: 7565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 2*f**7\/105 - f**5\/30 - 3*f**2\/2 - 4*f. Let m(i) be the first derivative of o(i). Find the third derivative of m(p) wrt p.\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/1 + -1)*2. Suppose -1 = 3*m + 3*w + 2, -2*w + l = 3*m. Suppose 5*b = -5*d + 45, -b + 5*d + m = d. Solve 2*p - 2 = b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1755 and -7694057.81.\nAnswer: -7694057.9855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -3, 6, -2\/11, 122\/155, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 8*k - 84. Give j(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t - 10*t**4 + 14*t**4 + t**2 - 3*t**4 to the form u*t**3 + z + k*t + q*t**4 + d*t**2 and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.14 + -0.1. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 386 - 254. Suppose -6*m - l = -10*m. Solve -2*y + 5*n + m = 0, -2 = 4*y - 2*y + 2*n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 11*k + 230. What is t(-21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**2\/2 - 7*t + 5. Let r = 0 + 4. Let d be o(r). Which is smaller: -4\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 988, 990, 992, 994, 996?\n\"Answer: 2*o + 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4379860376455 and -19.\nAnswer: 4379860376436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/18*3\/(-2). Let x(o) = o + 1. Let m be x(q). What is the first derivative of -3*p**m + 6*p - 6*p - 2 wrt p?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ibbibirserr. What is prob of sequence reib?\nAnswer: 3\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10110)\/(-9))\/((-11)\/990). What is z rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 5*l + 8. Suppose 1 + 5 = 2*g, 3*s - 33 = -5*g. Determine q(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42115 - -3?\nAnswer: 42122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -7. Let l(c) = 2*c**2 - 13*c + 15. Let b be l(7). Calculate the highest common divisor of x and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*r + 5*r + r)*(14 + 4 - 2)*(2*r + 2 - 374 - 480) to the form c*r + f*r**2 + y and give c.\nAnswer: -13632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(16) - (sqrt(64)\/sqrt(4))\/sqrt(8))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajdajxrjajx. Give prob of sequence jxaa.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583321772 a multiple of 8863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*m**3 + 14*m**2 - 3765*m wrt m.\nAnswer: 306*m + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 5. Let g be t(7). Let m(j) = 7*j + 30. List the prime factors of m(g).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/216*6\/(-20))\/(6\/(-234)).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -66678000 to the nearest one million.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -114.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 88 + 80 = 0. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 289*n**2 - 17*n - 4. Let z(s) = -290*s**2 + 21*s + 5. What is -5*v(t) - 4*z(t)?\nAnswer: -285*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 213380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 12*a**3 + a**3 + 3*a.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*z + 76*z + 18*z + 4 - 2*z - 4 + (2 - 2 + 2)*(4*z - 2*z + 0*z) - 2*z - z + 2*z.\nAnswer: 71*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c0 - -de?\nAnswer: 19e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 7:29 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01491*3.\nAnswer: 0.04473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 64679757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 11 = 4*a + 3*f, 5*a + 4*f = 11. Is (-1)\/(-1 + a)*-6 + 76 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3081 and 9?\nAnswer: 9243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 490 and 90.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 3*i**2 - 5*i - 2. What is h(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4998?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 65. Let q = -5.9 + m. What is the third smallest value in -2\/9, 1\/7, q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 17 = -3*f. Is -12 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6463, 397, -6 in descending order.\nAnswer: 397, -6, -6463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a factor of 231697152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 547 = -3*i - 155. Suppose -5*b + 60 = -10*b. What are the prime factors of 4\/6*i\/b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/((-15)\/(-21)) - 2. Solve 0 = -4*n + 8, 5*d - 1 = j*n + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = o, -o + 0*k - 2*k = 0. Suppose o*i = i - 730. Round i to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/150*1\/(-3)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*s, -2*s = -3*s - 4. Which is the smallest value? (a) -5 (b) 3\/5 (c) -0.4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*sqrt(190)*1 - ((sqrt(190) + (sqrt(190) - sqrt(190)*2))*3 + sqrt(190)))\/(-3*(sqrt(10) + (3*sqrt(80))\/sqrt(8))).\nAnswer: -5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 + 11*y**2 + y - 13. Let h be x(5). Let n(p) = -2*p**3 + 38*p**2 - 63*p - 22. Let o be n(h). What is the greatest common factor of o and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -28*j**3 + 48*j**2 + 12*j - 12. Let z(t) = -t + 1. Let v(q) = y(q) + 12*z(q). Find the third derivative of v(a) wrt a.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 9. Suppose -2623 = -4*c + w*k, -5*c - k - 556 + 3830 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23430358.\nAnswer: 2, 7, 31, 53987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143367 is divided by 71637?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1533 (base 10) to base 7.\nAnswer: -4320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s - 3*s + 0*s + s - s - 2*s + (-3*s - s + 3*s)*(1 + 1 + 0) + 170 - 170 + 21*s)*(-3*s + 0*s + 6*s).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18242 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1230 (base 4) to base 5.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0 (b) 3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 - 13844*i\/5 - 23957042\/5.\nAnswer: -2*(i + 3461)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/21? (a) -3\/5 (b) 5\/2 (c) -1\/4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 11) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9216 - 7805. Is c a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of n**2\/2 - 8*n - 1. Let h be g(8). Suppose h*q - 3*q = 0. Solve 5*v - 2*v = q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145\/57 + -5\/114. Let n(z) be the second derivative of w*z**2 + 0 - 3*z + 1\/6*z**3. Give n(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 8 = 6*g. Suppose 2*n + 2*n - 10 = g*o, 4*o = 4*n. Solve n = 2*j - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01030506349 rounded to 6 decimal places?\nAnswer: 0.010305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 3*v + 5*v)*(-v - 2*v + v)*(3*v - 3 + 3 + (-v + 0 + 0)*(1 + 0 - 2)).\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -80)*15\/(150\/185) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u + 49 = 18 - 123 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107561991.\nAnswer: 3, 47, 449, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = 8. Let j(v) = -v**2 + 2*v + 12. Let r be j(-2). Solve c - g = -2, r*c - m*c - g = -1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*y - 2 = 48*y + 2*w, 0 = -5*w - 5. Suppose 5*m - 2195 + 65 = 5*r, m + 3*r - 430 = y. List the prime factors of m.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15338*2.75\nAnswer: -42179.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 19. Let z = -21904 + 21907. Is d >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*(2 + sqrt(363) + 4))**2 + -5 + 1).\nAnswer: 2112*sqrt(3) + 6368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.53 + -1.59. What is the nearest to j in 5, 1\/5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79023, -315251, -708967, -1260171, -1968863, -2835043?\nAnswer: -3858711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 455\/(-70) - 87\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-9)\/3 - 0. Let u be 3\/9 - (-56)\/r. Let a = 36 - u. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-377)\/(-39) - (-8)\/24. Solve -t*p - 9 = 31 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/35)\/(((-102)\/323)\/(60\/(-228)))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 144 = -4*c. Suppose -2 + c = p. Suppose 5*i = 26 + p. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2924)\/(-559))\/68*(-2)\/(-1)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2090\/417629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 12111?\nAnswer: 12110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -37 + -1 - (3 - 23)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y - 5. Let u be q(-3). Suppose -8 = -4*v - 24. Let j be v\/18 - 17\/(-36). What is the nearest to 1 in -1, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320411839?\nAnswer: 11, 19, 113, 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699*u - 159 = 700*u + 31*b, -4*b - 28 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149674, -598691, -1347052, -2394757, -3741806, -5388199?\nAnswer: -7333936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + 520\/9. What is the closest to k in -2\/13, -4, 1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 7*w**2 - 8*w - 3. Let n be m(-8). Let j = 4 - 1. Does 13 divide 47 + (n\/(-1) - j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2802414, 5604827, 8407240?\nAnswer: 11209653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.608 from -10458.\nAnswer: -10457.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 587837 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.91 + 0.09. Let y(h) = -h**2 - 4*h + 7. Let s be y(-5). Which is the third smallest value? (a) s (b) f (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 6 - 235*n + 236*n in the form z + o*n and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/105 and (4 + 37\/10)\/(63\/(-14)).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 7*d**2 - 7*d. Let f be s(-6). Solve 4*i + 3 = 2*r - 5*r, -f = -4*r - 2*i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -65. What is the remainder when y is divided by 2*3\/6*2 - -18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**6\/60 + 3*t**5\/20 - t**4\/24 + t**3\/3 + 1214*t**2. Give i(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-10\/13))**(-3\/2))**2 assuming b is positive.\nAnswer: b**(30\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1510*n - 9512. Let k be c(-12). Is 8609 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.2, -9.44, 0.2, 0.1 in ascending order.\nAnswer: -9.44, 0.1, 0.2, 6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6 = 2*v - 4*v, -5*v + 15 = 3*n. Solve x = v*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**6\/120 + 7*d**5\/60 + d**4\/3 + 5*d**3\/6 + 2*d**2. Let l be j(8). Let q(h) = h - 3. Calculate q(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 + 771*f + 39221. Determine v(431).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 26 = 5*y, -4*y + 32 = 3*u - 7. Solve 2*g + u = 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let k = -0.949 - 0.051. What is the closest to -0.04 in k, 3\/5, u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**1\/q)*q)**(-24)\/((q\/(q*q**(-1)))\/q**(-2)))\/(q*q\/q**(4\/7)*q*q**(1\/6)*q*q**(-1\/5)*q**7) assuming q is positive.\nAnswer: q**(-12893\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3498.7 - 3498.72. Let d = 1.3 - 1. What is the second smallest value in s, 3\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2280 and 46056?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22377348.329 rounded to the nearest 100?\nAnswer: -22377300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 0\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 12*y**2 + 17*y + 60. Let c be r(-10). Calculate the highest common factor of 72 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 58 = 2. Calculate the remainder when ((-51)\/g)\/(((-7)\/175)\/1) is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - -2210222210?\nAnswer: 2211000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 - -4b7664?\nAnswer: 4b7680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -318999 rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124\/23 or -310?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/359640 and -29\/143856.\nAnswer: 719280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 10. Let i be c(-8). Suppose -i*o - 1 = -7. Let p(b) = -b**3 + 2*b**2 + 4*b - 2. What is p(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000699 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*c**2 - 110*c**2 + 40*c**2 + 38*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 6*o - 2. Suppose 0 = 3*r - 6, -10 = -4*w + 6*r - 3*r. What is the smallest common multiple of 8 and l(w)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434159 + 37*u**2 - 434158 - 8*u**2.\nAnswer: 29*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/9 of a hour in seconds?\nAnswer: 18400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 f when four letters picked without replacement from eezfffffefzeefff.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.96742655 rounded to two dps?\nAnswer: 4.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8 - (-968 - (-99)\/(-11))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1072, 1084, 1100, 1120, 1144, 1172, 1204?\n\"Answer: 2*m**2 + 6*m + 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -713 + 767. Calculate the smallest common multiple of 90 and p.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 11 - 13 = 0. Let l(q) = d + 2*q - q + q - 6. Give l(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(912)*4 + sqrt(912) + sqrt(912)) - sqrt(912))*-1)\/((sqrt(240)\/(sqrt(8)*1))\/((sqrt(200)\/sqrt(5) + sqrt(40))\/sqrt(4))).\nAnswer: -280*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 52*w**3 + 14*w**2 - 13*w - 1. Is 3 a factor of x(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35646 - -3422?\nAnswer: 42401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22741 or -22859?\nAnswer: -22741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 57742?\nAnswer: -57740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -6. Let j = 6 + -10. Which is the closest to -1? (a) j (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28456868 and 28.\nAnswer: 199198076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) + 1)*1 - (-5 + sqrt(2299)*-3)) + -3)**2.\nAnswer: 264*sqrt(19) + 36793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/10 - (-1095)\/75. What is the tens digit of (-2286)\/(-63) - 4\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -23*t**2\/2 - 37*t + 36. Find the first derivative of q(m) wrt m.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945963653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert c9313 (base 14) to base 5.\nAnswer: 111030133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 1)*(-3*z**2 + 3*z + 0*z**2 - 11*z)*(0*z - 4*z + 5*z).\nAnswer: 9*z**3 + 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 6. Let d = v - 1. Let u = -20.2 + d. What is the third biggest value in u, -1\/2, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-19)\/7 + (-2)\/7. Let j(a) be the second derivative of -a**3\/6 - 3*a**2\/2 + a. Let f be j(-8). Sort 3, w, f.\nAnswer: w, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*c**2 + 38*c*x - 160*x wrt c?\nAnswer: 8*c + 38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -250311?\nAnswer: -250320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -28) + -16 - 11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 v when three letters picked without replacement from uvuuuuvuuvffvvuf.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.03 (c) 1\/6 (d) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5602, -5596, -5586, -5572, -5554, -5532?\n\"Answer: 2*o**2 - 5604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 373.3 and 3.\nAnswer: 1119.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1049120 and 384.\nAnswer: 12589440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9368 - 9367.8. Sort 0, -9\/8, f.\nAnswer: -9\/8, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k - 9. Let a be r(2). What is the nearest to 2 in 0, a, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -54141\nAnswer: 13\/54141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2*1\/(-10))\/((-38112)\/35730)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40, -123, -240, -397, -600?\n\"Answer: -h**3 - 11*h**2 - 43*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 44. Let a = 8 + l. Suppose -2*q + 47 = -a. Is 25 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17447?\nAnswer: 73, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 - 457 = -5*f. Suppose 0 = -2*j + 4 + f. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 254 = -3*q, -p - 2*q = 2*q - 261. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 23. Let j = -0.03 + 1.03. Let r = -1.8 + j. What is the second smallest value in r, u, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**2 - 7*c**2 + c**2.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 328 - 1028 = 0. Suppose 92 = 7*d + 729. Let l = d + s. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 14\/32*2. Let n be (364\/(-8))\/(-13) - (3 - -2). Which is the third biggest value? (a) 2\/21 (b) n (c) l (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c. Let a be k(-3). Suppose -1 = -4*j - 5*b, -5*j - 1 = 3*b + 1. Let v be ((-203)\/(-145))\/(j\/4). Is a not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4333, -4330, -4327, -4324, -4321?\nAnswer: -4318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 522, -12, -2 in increasing order.\nAnswer: -12, -2, 522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3275*q + t + 22 = 3279*q - t, 0 = -5*q - 5*t - 85 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + 4 - sqrt(13))) + -2 + sqrt(13) + (2*(sqrt(13) - sqrt(91)\/sqrt(7))**2 - sqrt(13)).\nAnswer: -6 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**2 + 605*d - 2349. Give c(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 7 - 4)*(-2 - 14 - 6)*(1 - 2*i + 0 + i + 4*i - 3*i - 3*i + (1 + 4 - 6)*(-1 + i + 1) - i - i + i + 1 + 2*i - 1).\nAnswer: -198*i + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25449052 + 10249052. Round y to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*(-4)\/36)\/(10\/33980). Let r = 1134 - x. Solve d - 1\/6*d**2 - r = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 404 and 100669124.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(48)\/sqrt(54)) + 1 + (-5*sqrt(91)*-1)\/(3*sqrt(63)).\nAnswer: 1 + 32*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-5) + 42\/10. Let i be -2 + g - 0 - -2. Find the second derivative of 5*u**5 - i*u**5 - 6*u + 4*u wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 26285458012 and 0.15?\nAnswer: 26285458011.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*5\/(-2)*2. Let o = 4 - 7. Let d(z) = z**2 + 5*z + 6. Let x be d(-4). Sort q, x, o in ascending order.\nAnswer: o, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15317.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4654259 to the power of 1\/2, to the nearest integer?\nAnswer: 2157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (269\/54 - 6) + 1. Is 1 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7771.65 and -147362597.\nAnswer: -147370368.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.1 + 13.2. Let h = -9.2 - t. Let i = -4 + 5. What is the nearest to h in 2\/9, i, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127894, -127890, -127886, -127882, -127878, -127874?\nAnswer: -127870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**3 + v**3 - 4*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 526137, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/(-4) + 5\/10. Let w = 28 - -119. Let a be -7 - w\/(-15) - 3. What is the smallest value in a, r, 1\/4, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -52*x + 209. Determine y(5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 519630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 32649 = 4*u - 7*u, 5*u + v - 54443 = 0. What is the thousands digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -103. Let t = -6592\/3 - -2290. Let x = t - r. Which is the smallest value? (a) 2 (b) x (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12507.49 - 52.\nAnswer: 12455.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 136, 181, 194, 163, 76, -79, -314?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -7*p**3\/3 + 2*p. Let h(s) = -3*s. Give x(h(t)).\nAnswer: 42*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 125*v**2 + 2796*v + 1161. Determine s(-96).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -9 + 3\/2*n**4 - 2*n + 11\/2*n**3 + 0*n**2. Find the second derivative of i(q) wrt q.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30744 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q*q*q\/((q**(2\/3)\/q*q)\/q)*q**(2\/5)*q*q*q*q**(3\/7)\/q)\/(q*q*q**(-4\/5)*q**4)**(6\/11) assuming q is positive.\nAnswer: q**(2686\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 40010266 (base 8) to base 7\nAnswer: 131224025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 2)\/((-12)\/(-8)). Let l(h) be the first derivative of h**3\/3 + 5*h**2\/2 + 3*h - 2. Let v be l(-3). Sort q, v, 0.\nAnswer: v, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4624000431 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 10. What is the units digit of y(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 13*v - 12500. Suppose 3 = -f - 0. Let b be (-360)\/((f\/v)\/(-3)). What is b rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-6)\/(-57) - (-1536352)\/608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2851+208.837\nAnswer: -2642.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 608\/890565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + -2. Let t = i - -9. Suppose 2*r + 3*r + 69 = 4*g, -29 = -t*g - 3*r. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, 5\/6.\nAnswer: 0.3, 5\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -37*r**2 - 16784*r - 10356. Give b(-453).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -11*t**4 + 13*t**3 + 7*t**2 - 9*t. Let g(r) = -6*r**4 + 7*r**3 + 4*r**2 - 5*r. Let x(a) = -10*g(a) + 6*y(a). Determine m so that x(m) = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31554791?\nAnswer: 31554791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183233 or 1099397\/6?\nAnswer: 1099397\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 286*f**2 + 422*f**2 + 426*f**2.\nAnswer: 562*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -558, -567, -576, -585, -594?\n\"Answer: -9*t - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -7. Suppose v = 5*h - 2*w + w - 201, -5*h - w = -199. Solve 2*b + 2*b + 4*z + h = 0, -4*b + 4*z = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - c = 15. Let t(m) = -m**2 - 30 + 17*m - 46 + 2*m. Let i be t(13). Let g(l) = -5*l + 2. Let v(f) = 6*f - 2. What is c*g(z) + i*v(z)?\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*t = -0*t - 102, 2*t - 58 = -3*j. Suppose 0 = -2*u - 2 + 4. Suppose w - u = j. Solve 5*o + w - 3 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -345.9811 + 346. Round s to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, x: 1, e: 2}. Give prob of picking 1 x, 2 m, and 1 e.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*w**2 + 7*w - 22*w + 15*w.\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 20 = k, -765*s + 36*k = -767*s + 436 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/19 - 130\/57. Let b be (30\/4)\/((-21)\/(-28)). Let u be 6\/(-21) - b\/14. Which is greater: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7299*b - 16125*b - 16562*b - 12164*b.\nAnswer: -37552*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 17 = 170*p - 175*p, 5*p + 81 = -6*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2*c - 48 = 0. Let n(a) = 9 + c - 8 - a**3 + a**2 + 6. Is n(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26751, -26748, -26747, -26748, -26751, -26756, -26763?\nAnswer: -26772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2113?\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 11, j: 1}. Give prob of picking 1 j and 1 t.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from {h: 2, q: 2, e: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w\/(w\/(w\/(w*w**(-1\/11))))))\/w)\/w)**(-48))**47 assuming w is positive.\nAnswer: w**(27072\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.2 (b) -96\/11 (c) 6 (d) -642\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570922 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*j + 16725 = -18*j + 6725. Are 1132\/9 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = w, -4*q + 1277 = -w. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 97*g + 261. What is the remainder when m(38) is divided by 150?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 27881 = -6381. What is the units digit of (-10)\/(-315)*-7 - d\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07+29915\nAnswer: 29914.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 6. What is x(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36315, 36684, 37051, 37416, 37779?\n\"Answer: -x**2 + 372*x + 35944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 19499.8868193?\nAnswer: 19504.8868193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/78 and 74\/9?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 880 and 2192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150 a factor of 62541821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50802\/11 or -4618?\nAnswer: -50802\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2742 = -2*c - 0*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/5, 4, -0.5, -0.01, -139668?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. Suppose -x*u - u = -25. Let w = -1\/17 + 37\/51. What is the third smallest value in u, 4, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2\/312927?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025623286 rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38972 by -29.\nAnswer: -38972\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -42*i + 18. List the prime factors of x(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*m + 614*m = 313*m + 10005 for m.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j - 20. Calculate a(17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + a**2 + 3. Let b be f(0). Suppose 2*u - 5*z = -1, u - b*u - 4*z = 10. Let p be (14 - 96\/8)*2\/(-4). Put u, -4, p in ascending order.\nAnswer: -4, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2079?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r**3 - 35*r**2 + 34*r + 142. Let z(q) = 13*q**3 + 53*q**2 - 54*q - 214. Calculate -8*s(w) - 5*z(w).\nAnswer: -w**3 + 15*w**2 - 2*w - 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140467 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -13, 8 in increasing order.\nAnswer: -13, -5, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -106, -36 in ascending order.\nAnswer: -106, -36, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -96 (base 11) to base 12\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17386*w**3 - w - 6844 wrt w?\nAnswer: -104316*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 187 = -70*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161641.\nAnswer: 161641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0, -4\/3, -1\/939, 5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s - 64. Let n be t(9). What is the tens digit of (-17232)\/n*(-1)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217 + 94. Does 22 divide (-3)\/(-2 - x\/66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002915313544 rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/sqrt(32) + sqrt(234)\/(sqrt(24)\/sqrt(4)))\/(-1*sqrt(192)*-5))**2.\nAnswer: 13\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 608844 and 5876.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/24)\/(14\/(-56))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2025 divided by 15\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111313 - -779188\/7. Let p = -3\/14 - 1\/126. What is the second smallest value in -4, p, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 495145*c*n - 6*c*p**3 - 23*n*p - 10*n + 430*p**3 + p - 1 wrt c.\nAnswer: 495145*n - 6*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (1 - (0 - -2)). Let u(w) = g*w + w**2 + 0*w. Let d(y) be the third derivative of y**4\/24 - 30*y**2. What is u(d(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*m + 5. Solve 0 = m*x - x - 4*i + 7, -1 = -5*x + 2*i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 = 5*d - 1, 0 = 2*z - 4*d + 14. Let v(k) = -26*k**2 + 4*k**2 + 7*k**2 + 3 + 3 - 2*k**3 + 9*k**2. Let f be v(z). Solve x + x + f = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8668*k**4 - 2600*k**3 - 144766551*k wrt k.\nAnswer: 104016*k**2 - 15600*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -282 + 296. Calculate the remainder when 70\/1 + 2 + (y - 13) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 23*o**3 - 3*o**2 - o + 1. Let k = 88 - 89. Give r(k).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26382460 by 4.\nAnswer: -6595615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 6, 2, 12, -4, 1909 in descending order.\nAnswer: 1909, 12, 6, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -16 + (10 - (4 + 10) - 2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3540 (base 11) to base 3\nAnswer: 20100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - u - 2. Let p(g) = -367*g**2 + g + 5. What is -2*m(v) - p(v)?\nAnswer: 365*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r = -11*r + 144. List the prime factors of 888*((-7)\/r + (-7)\/14).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6 + 106\/6. List the prime factors of 6\/(-27) - (-112)\/x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -26*q - 6. Let j be u(8). Let i = 363 + j. Let y = 1637\/11 - i. Which is the second biggest value? (a) y (b) -1\/2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = 2*d - 453. Suppose y = -3*y + d. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 63? (a) 0.5 (b) -2\/9 (c) -0.6 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*6\/(-8))\/(-123*(-144)\/684864)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-50))\/((-38)\/(-95)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220332430?\nAnswer: 2, 5, 29, 43, 17669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + 6*x - 2*x)*(4 - 9 - 3) + (4 - 1 - 1)*(-x + 1 - 1).\nAnswer: -74*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0.3 (b) 0.088 (c) 38 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*l - 29 + 4 = 0, -3*o = -5*l + 16. Let f = -3\/22 + 7\/11. Solve 0*i + 0 + f*i**o + 1\/4*i**4 + 1\/4*i**2 = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/2598 and -11\/1732.\nAnswer: 5196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10398, -11181, -11964?\nAnswer: -12747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*f - 13. Let b(k) = -3*k**2 + 6*k - 5. Let h(r) = -2*r**2 + 5*r - 4. Determine f*b(c) - 5*h(c).\nAnswer: -2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4289 = -c, -14*x - 3*c + 2559 = -11*x. Calculate the remainder when x is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i = -15. Let f = -5275 + 31759\/6. Find the common denominator of f and 93\/9 - (-5 + i).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 42. What is the remainder when 27 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 58. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 21966*u**2 + 43953*u - 65916.\nAnswer: -3*(u - 7324)*(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 44*p + 135*p - 43*p - 46*p.\nAnswer: 2*p + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + (-46)\/(-6))*21. Let o = -46 + d. What is the highest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92632\/55 - -1684. Let l = 8881\/99 - 800\/9. Let c = l + b. Is c >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11286 + -415?\nAnswer: -11712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, -26610 in ascending order.\nAnswer: -26610, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.24 + -0.652. Let g = -0.712 - q. What is the nearest to 0 in -7\/5, g, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17189807717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 397 + -20. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhuu when four letters picked without replacement from {u: 8, m: 2, h: 2}?\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -11 - (5 + -14 - -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3*s + 23 - 29 = 0, 0 = -4*y + 2*s - 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 139675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -41508*c + 373570. Calculate z(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (144\/(-15))\/((-12)\/40)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-6) - (-266)\/12. Let w = a - 19. Solve -4*n = -4*r - 4, w*r + 8 = -3*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**2 + 229*r - 746. Give p(-48).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 at most as big as 1280\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 2*d = 0. Which is the closest to -1\/3? (a) 1\/9 (b) d (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**3\/6 + 40*i. Let v(l) = 2*l + 1. Let f = 14 - 13. Determine f*v(y) - 3*m(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m + 136 = 14*m. Let d = 4 + m. 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: Find q such that -2*q**2 + 2704*q - 837120 = 0.\nAnswer: 480, 872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - o. Let z be (-2)\/4 + (-126)\/84. Let r(q) = -4*q**2 + 3. Calculate z*n(d) + r(d).\nAnswer: -2*d**2 + 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(245) + 0 + (-5 + sqrt(245) + -3 - sqrt(245)) + 2 + 5) + -2)**2.\nAnswer: 112*sqrt(5) + 3924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnjrrpjvo. Give prob of picking 1 p and 1 r.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23295.\nAnswer: 3, 5, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - q + q)*(-1 - q**2 + 1) - 25 + 25 - 12*q**4.\nAnswer: -10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6060900 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -8, -17, -28?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -14. Let a be h\/5*25\/(-10). Solve -t = d - 7, -5*t + a = -2*d - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-9)*3\/(-4)*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-663)\/(-765))\/((-3036)\/(-180) + -17).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 160247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-225)\/(-1020)*(132\/(-15))\/22?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50956172 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42630 divided by 30?\nAnswer: -1421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (sqrt(125) + 0)) + sqrt(15)\/(sqrt(3) + sqrt(3)*1).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 6*q**2 + 0*q**2 + 2 - 4*q**2 to x*q + z*q**2 + v and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 41294.71kg?\nAnswer: 41294710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 - 7*n**4 + 17*n**3 - 9*n**2.\nAnswer: -n**2*(n - 1)**2*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(0 - 6\/4). Let m be (-1)\/h - (-490)\/(-116). Let i = m + 1889\/406. Find the common denominator of -85\/16 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 135, -650, -2409, -5466, -10145?\nAnswer: -16770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/5 + 204*x - 11704\/5.\nAnswer: 4*(x - 11)*(x + 266)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17\/10 - -1\/5. Let p = -0.013 - 0.287. Which is the biggest value? (a) z (b) -3 (c) p (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -5*r**2\/2 - 7*r - 3. Let x(l) = 5. Let d(z) = z - 21. Let n(j) = -4*d(j) - 18*x(j). Determine 7*n(p) - 6*s(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7191269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2292 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 6 = 2*g - 2*r, 0 = 4*g + 3*r - 4. Suppose 7 = -g*l + 47. Solve 0 = 5*u + l + 5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22381, 22277, 22139, 21949, 21689, 21341, 20887, 20309?\nAnswer: 19589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 27 - (-53 + 43 + 76).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -184, -437, -792, -1249, -1808, -2469?\nAnswer: -3232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20322299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -716*r - 414.\nAnswer: -716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 5, -1, -135.\nAnswer: -135, -1, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*t**2 - 2*a**3*t + 14*a**3 + 75*a**2*t**2 - 4*a**2 - 2*a*t**2 + 7*t**2 wrt a.\nAnswer: 12*t**2 - 12*t + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.195 + 54.195. Let u = -53.6 + a. What is the nearest to u in 3\/4, 1, -0.4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsa when three letters picked without replacement from {s: 9, f: 2, a: 4, j: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 314*w**2 - 4363*w + 4213. What is the first derivative of s(b) wrt b?\nAnswer: 628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 6*w**2 + w - 7. Let d(x) = -x**3 + 13*x**2 + 14*x + 15. What is the remainder when v(5) is divided by d(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*u + 169. Suppose 3*a - 146 = -u. Suppose -5*g + a = -14. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/7, 0, 5, -0.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 255684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 3:22 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3773000 rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -58?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**3 + l**2 + 1. Let f(m) = 12*m**3 - 4*m**2 + m - 4. Let w(s) = -2*f(s) - 7*h(s). Let c be w(1). Suppose -c*o = o - 185. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2414 - 2418. Let x = 28 - 21. Let l = -3 + x. Which is the second smallest value? (a) l (b) 2 (c) -5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 410*o + 9805. What is g(-24)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -3. Let d(j) = -2*j + 14*j**2 - j**3 + 7 - 19*j**2 - 1. Calculate the least common multiple of d(w) and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-28))\/5 - (-38)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -4*g - 1560. Let x = g - -181. Solve 2*q - 12 = -4*j, -3*q - x = -5*j + 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15675191786 - -1921.\nAnswer: 15675193707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35690209 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 12*a - 60 = 0. Suppose g + 3*m - a = 4*g, 15 = -5*m. Which is bigger: g or -9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of s**4\/2 - s**2 + 3*s - 12. Let x(d) = -2*d**3 + d**2 + 3*d - 4. What is 3*v(c) + 2*x(c)?\nAnswer: 2*c**3 + 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -15896*k**4 + 27550*k**2 - 12. Let n(y) = -6359*y**4 + 11020*y**2 - 5. Let b(c) = 12*n(c) - 5*q(c). What is the third derivative of b(h) wrt h?\nAnswer: 76128*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven halves of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 6*m - 17173 + 16981 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10170568 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.1 (b) -1\/1115 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n - 627 + 2695 = 0. Calculate the greatest common factor of 6 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22052*-0.5\nAnswer: -0.11026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 times -40.51\nAnswer: -445.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*x - 6*x - 1 = 0, 0 = s - 2*x - 11. Find the second derivative of 0*m**3 - 2*m**3 - m**s + 7*m - 2*m**3 wrt m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 171779304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3623914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/2 of a milligram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*g - 138*g + 19995 + 8517. What is the remainder when g is divided by 163?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -879 - -882. Suppose -5*b = 3*g - 22, o*b - 38*g + 14 = -33*g. Let k(j) be the first derivative of j**3\/3 + j - 1. Calculate k(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/(-1)*176\/(-704)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.6 + 5.558. Let f = v + 0.742. Is f <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160222 (base 8) in base 10?\nAnswer: -57490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -14522?\nAnswer: 14531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 23*r + 24335 = z, r - 5*z - 12184 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.2 - 22. Let x = -1.6 + 5. Let p = x + -3. Which is the third smallest value? (a) p (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*d - 276, -3*d + 165 = -6*r + 4*r. What is the remainder when d is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 7 - -7 - -4 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 130 + 68 = 0. Let n = p - -137. Find the third derivative of -n*f**2 + 4*f**3 + 141*f**2 - 84*f**2 wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 983767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 307047?\nAnswer: 307045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45431 + 67?\nAnswer: 45520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a. Let m(c) = -5*c. Let b(q) = 5*m(q) + 4*z(q). Suppose -219*j = -221*j - 2. Let r be b(j). Which is smaller: 3\/5 or r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 5, 4, -35, 3 in decreasing order.\nAnswer: 36, 5, 4, 3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6) + 5 + -3 + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.1558 rounded to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 + -115. Solve 0 = -5*v - 2*c - j, -c - 1 = 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from {l: 5, t: 15}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 395076212.33\nAnswer: 395076212.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5324261.\nAnswer: 5324261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1301 times 0.4\nAnswer: 520.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 1\/14*b**7 - 59*b + 0*b**5 - 37\/30*b**6 - b**2 - 1\/6*b**4 + 0*b**3 + 0. What is the third derivative of k(r) wrt r?\nAnswer: 180*r**2 - 888*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/22 in 0, 5\/3, -21.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 5*v**2 + v + 7. Let q be s(-5). Let b(f) = 3*f + 2. Let r = 9 + -8. Let k be b(r). Solve -q*g = -k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 2:12 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2823\/1010 - 1\/202. Are -3 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (16 - (0 + 3)) - 23.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 191007 and 24719.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11722856627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*x + 294*x + 191*x + 93*x - 53*x.\nAnswer: 429*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37.6 - 38. What is the closest to 2\/5 in g, -3, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/10, -49, 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-770))\/(2\/(-7))*(-7)\/28.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(847) + 2 - sqrt(847)) + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3 - 3, 2*p + 30 = -4*n. Let c = n + -3. What is the units digit of 2\/(-3) - 92\/c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100111101010110101 + -1100100?\nAnswer: 100100111101001010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62322070?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001657182 to five dps.\nAnswer: -0.00166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -4*v - 6, -2*v - 9 = -h + 1. Factor u**4 - 3*u**3 + 3 + 47*u**2 + 4*u**3 - 50*u**h - 5*u - 5.\nAnswer: (u - 2)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*y - 60, 0 = 3*l + 2*y - 4*y - 35. Suppose l*k = 5*k + 150. What is the remainder when 101 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/20 - 21\/15) + 11. What is the highest common factor of h and 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/(-35))\/((-140)\/(-35))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 2. Let b(i) = -266*i**2 - 7*i + 28. Let d(j) = -b(j) + 4*v(j). What is the thousands digit of d(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-397)\/1191*(-42)\/(-4)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 2*p**3 - 3*p**3 + (-2*p + p - p)*(-1 + p**2 + 1))*(-3*p - 2*p**2 + 3*p).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**5\/36 + a**4 + 14*a**3\/9 + 2*a**2 - 13*a + 99. Let d(s) be the second derivative of v(s). Factor d(r).\nAnswer: (r + 14)*(5*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 1, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 726679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-136)\/32)\/17)\/(8\/((-320)\/105))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*t - t - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 6:35 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 7:17 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168463338?\nAnswer: 2, 3, 113, 241, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 289920 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: Let -l**5\/7 + 64056*l**4\/7 - 512322*l**3\/7 - 3970928*l**2\/7 - 439203*l + 7493616\/7 = 0. What is l?\nAnswer: -3, 1, 13, 64048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*x + 87*x - 265*x + 85*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 21587, 102\/5, 1\/2, 0.2, -5\/2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770 is divided by 255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 135 + -63. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3939 or -62?\nAnswer: 3939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0048674897 to six decimal places.\nAnswer: -0.004867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 687773.8ml to litres.\nAnswer: 687.7738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-23)\/(-92))\/(2\/16). Solve -3*k - l*z = 1 - 2, -5*k + 7 = 2*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10828395 + 10828862 + 116*m**3 + 174*m**3 wrt m?\nAnswer: 870*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/758 and -97\/2?\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 228113653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 17*t**2 - 18*t - 5. Let s be w(-18). Let l = 3.9 + -0.9. Sort s, l, 7 in increasing order.\nAnswer: s, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93813 + 2926596?\nAnswer: 2926596.93813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*z, 3*z = 2*z. Let y be (1 - o) + (5 - 2). Suppose -5*l + 4*b + y = 0, -4*l + 3*b = 2*b - 12. Solve -5 = -k, 3*k - l = 3*n + 4*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -63182c6 - 5?\nAnswer: -63182cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -604045, -604032, -604021, -604012, -604005, -604000?\nAnswer: -603997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 + 17043*f**2 - 102285*f\/2 - 306801.\nAnswer: (f - 6)*(f + 3)*(f + 34089)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3 + 351177*n**2 - 7022640*n + 35111700 = 0. Calculate n.\nAnswer: 10, 117039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 10*g + g)*(3*g**2 - 2*g - 8*g**2 + 6*g**2 + 2*g**3).\nAnswer: 20*g**4 + 10*g**3 - 20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 120*u - 126*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 6, 0.5, -188\/7, -1, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -572 - -574. Let z(n) = -3*n**3 + n**2 + 2*n - 1. Calculate z(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**3 + 13*q**4 + 9*q**2 + 2*q - 16*q**4 + 5*q**4 + 2 - 2*q**2 + 0*q to r*q + x + k*q**2 + s*q**4 + a*q**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 3679730\nAnswer: -3679730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1538221\/6 - -257248. Let x = -871 + v. Calculate the common denominator of x and 107\/14 + (-2)\/(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 1369464.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 h when four letters picked without replacement from {w: 6, i: 3, x: 5, h: 3}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 100 = -2*g, -242 = 4*g + g - 3*x. What is the common denominator of -63\/64 and g?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -10.927\nAnswer: 21.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00344634 to 5 decimal places.\nAnswer: 0.00345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 7 - (-12)\/4. Suppose u = -2*g + 39. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 52\/(-65) - 189\/(-5). Find the third derivative of 12*a - 44*a**3 - n*a + 25*a + 98*a**2 wrt a.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -244783 or -244795?\nAnswer: -244795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(187)*-1)\/(sqrt(11) - sqrt(11)*2*-6).\nAnswer: -5*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1759494 + 1759502.000008. Let i = -5.9 + -2.1. Let m = u + i. Round m to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**6\/60 - t**4\/24 + 17*t**3\/6 + 108*t**2 + 2. What is the derivative of u(s) wrt s?\nAnswer: -6*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 7 = 5*v. Let p = -5 - v. Solve -3*f = 5*i, -30 = -3*i - p*i + 3*f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.069 - 0.183. Let z = -0.114 - g. What is the closest to -1\/2 in -5, -3, z, 12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, w: 4, f: 1, x: 11}. Give prob of sequence fwx.\nAnswer: 11\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230618?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p + 14. What is the smallest common multiple of 10 and j(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114251 and 1075?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14351350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m - 870 - 138 = -109*m + 3792 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00022385167 rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/5)\/(6\/(-5)*(-345)\/2760).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2201, 4389, 6231, 7727, 8877?\n\"Answer: -173*w**2 + 2707*w - 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4145*t + 99481. Calculate z(24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004451627 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50 * -811.471.\nAnswer: -40573.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q = -2. Let o = -20 + 34. Let n = -10 + o. Solve 5*s + 3*u = u + 4, -q*s - n*u = -8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -5*t - 262. Let y = 70 + t. Let f(q) = -q**3 + 9*q**2 - 8*q - 1. What is f(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 3*r**2 + 4)*(3 + 2*r - 3) + 185*r**3 - 1056 + 1056)*((-r + 3*r - r)*(3*r - 3*r - r) + 25 - 25 - 2*r**2).\nAnswer: -537*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3 = 3*z, 4*f + 3*z + 11 = 2*z. Let l be (19\/93)\/(f\/9). Let i = l - -3273\/434. Find the common denominator of i and 89\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rddrrr.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 - 140 = -22*u + 385 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-4) + 133250\/4264.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((1 + sqrt(5))*-6 + sqrt(5))*5)**2.\nAnswer: 1500*sqrt(5) + 4021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1101111110 (base 2) to base 4\nAnswer: 31332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = c + i + 2*i, 0 = -5*c + 2*i - 5. Let g be ((-3)\/(-3))\/(19\/(-6)). Is g < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, s: 1, f: 6, g: 6, l: 1, u: 2}. Give prob of picking 1 u, 1 s, and 1 f.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 504*w - 508.\nAnswer: 4*(w - 1)*(w + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 3*b**2 - 5*b - 11. Let d be m(-3). Let x(y) = y**2 - 5*y + 6. Let o be x(5). Suppose -4*t = -o*t. Solve r - d*r = t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469373362 a multiple of 5547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 6 = -y, -110*f + 109*f + 52 = -24*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 44\/125, -604, -3\/7?\nAnswer: -604","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.03 + 3.97. Let p = 1171 - 1139. Put p, w, 0 in increasing order.\nAnswer: 0, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(180) + (-2*sqrt(180) - sqrt(180)))**2*1*6*6 + -1 + 4.\nAnswer: 25919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.9726cm?\nAnswer: 9726000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -993, -990, -983, -972?\nAnswer: -957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = -s + n + 74, -5*n = -15. Let u be (-58)\/(-7) + 62\/s. Let d(y) = 2007*y - 56. Let o be d(u). Round o to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 + 65.5. Suppose -2*o = 55 - 19. Let g be o\/(-63) - (-4)\/(-14). What is the second smallest value in j, g, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 20. What is the units digit of m(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -183\/5. Let h = 12 + -11.2. Sort 5, h, x in descending order.\nAnswer: 5, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1326.36451 to the nearest integer.\nAnswer: -1326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 69*m**2 + 344*m + 7. Calculate s(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 + 2098464*u + 101 - 2098463*u - 107.\nAnswer: u - 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 - 119. Let q = 39 + h. Let i = -93 - q. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*u - 210 = 12*u. Suppose 3*f + 15 - u = 4*q, 3*f = -q - 5. Let s = 31\/240 - 1\/240. Is s less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 13 = -2*g, g - 4*g = -5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18712 + -61?\nAnswer: 18671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1512) + sqrt(1512)*-1)*6)\/((sqrt(150) - (1*sqrt(150) + sqrt(150)) - sqrt(150))*-3) + -2 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 979\/465 - 57\/31. Let k(l) be the second derivative of 0*l**2 + n*l**6 - 2*l + 0*l**3 + 0*l**5 + 0*l**4 - 2\/21*l**7 + 0. Find a, given that k(a) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 34 + 10 = -4*v, 0 = -3*u. Let k(z) = z - 3. Let b be k(v). Solve 2*r = b*r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6782 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 + 2 - 2*y**3 + 26*y - 20*y - 2*y**4 as q*y + h + c*y**2 + i*y**4 + j*y**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1461513?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p. Suppose p = 2*r - 2 - 26. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 218643446 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t - 2. Let x(l) = -5*l + 3. Let d = 863 - 855. Determine d*i(j) + 5*x(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-8))\/(-1) - 12\/42. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*5*sqrt(117))\/sqrt(9))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y + 121 - 376 = 0. Is y at least as big as 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/6 + (-2)\/3. Let a(m) = 16*m - v*m - 2 - 1. Let t(g) be the second derivative of 5*g**3\/6 - g**2\/2 - 10*g. What is -6*a(n) + 17*t(n)?\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/15 + 284\/20. Let a = p + 72. Does 43 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h - 8. Let q(f) = -7*f - 9. Let j(p) = 4*q(p) - 5*t(p). Let a(r) = -7*r - 3. Let s(n) = 4*a(n) + 3*j(n). Let l(w) = 2*w**2. What is l(s(k))?\nAnswer: 98*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -2 - 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - m + (-3*m + 4*m + m)*(1 + 3 - 3) - 23*m - 55*m + 27*m)*((0 - 1 + 3)*(-2*m + 0*m + 4*m) + 3*m + 2*m - 3*m).\nAnswer: -300*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 3*n + 10, 9*x + 16 = 8*x - 3*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49612799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/116863, -5, 0.07?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 15*f = -14*f - 1, -5*f = 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/10 + 15*h**2 - 972*h\/5.\nAnswer: h*(h - 12)*(h + 162)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -100, -235, -434, -709, -1072, -1535, -2110, -2809?\n\"Answer: -2*v**3 - 20*v**2 - 61*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1376 + -17?\nAnswer: -1392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 4*k + 1. Suppose -3*p + 2*p - 1 = 0. Let f = 4 + p. What is h(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o = -45*o - v - 7, 0 = -o - 7*v - 31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2*2*4\/(-64))\/(4\/256) and 10854.\nAnswer: 86832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 1. Let h(r) = -5*r**2 + 2*r - 17. Give h(q) + 6*u(q).\nAnswer: q**2 + 2*q - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144660*h**2 - 3*h**3 - 22*h - 144660*h**2.\nAnswer: -3*h**3 - 22*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21\/5 (b) -10 (c) 1 (d) 0.3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -14. Suppose -25 = -6*c + x. Suppose 119 - 39 = c*k. Calculate the remainder when 30 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -358, -393, -410, -403, -366, -293, -178?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45764?\nAnswer: 2, 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 5344?\nAnswer: 58784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 1:26 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 a when four letters picked without replacement from dnaanddaanxan.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m. Let d(r) = 2 - 18*r + 2*r - 5*r. Give d(k(q)).\nAnswer: 42*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, a: 8}. What is prob of sequence aa?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 753257261 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -b + 4*b + 2*m, 4*m + 1 = 5*b. Suppose 5 = 2*j + b. Does 11 divide ((-148)\/6)\/j*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1147993.200506 - -1147981. Let b = -12.2 - g. Round b to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.325 - -383.685. What is s rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1762506\/23 or -76631?\nAnswer: -1762506\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85\/92 + 4\/23. Sort -1\/4, 2, m, -14 in descending order.\nAnswer: 2, -1\/4, m, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 801661109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.9 in -2, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 68*n - 146. Determine v(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 16*h - 25. What is the first derivative of 50*k + h + 0 - 12*k - 19*k wrt k?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -534, -1999, -4354, -7593, -11710?\n\"Answer: y**3 - 451*y**2 - 119*y + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 125 and 125 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 12 - 3*b + 20.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-240)\/225)\/4*2\/4*-10\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-10)*35\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 157117 (base 9) in base 10?\nAnswer: 97054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**3 + 5*m**2 - 8*m + 11. Let n(y) = 3*y**3 - 5*y**2 + 7*y - 11. Let p(v) = -5*n(v) - 4*x(v). Calculate p(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 104 in -4, -7.2, 135, -2\/15?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 9:39 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -24*m + 1. Let v(b) be the first derivative of 7\/2*b**2 + 0*b - 158. Determine v(k(i)).\nAnswer: -168*i + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6\/2657 + -2693\/15942. Sort 0.5, v, 710 in descending order.\nAnswer: 710, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 5*j + 20 = 0, -10 = 5*z - 10*z + 5*j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-22))\/((-3088)\/1544)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -77*i + 3. Let l be n(-3). Let w = 164 - l. Let v = -49 - w. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 6. Sort 3, 1, o in descending order.\nAnswer: 3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*f + 13835, 5*f - 2*f - 69154 = -5*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 - 7*o**4 + 4*o**2)*(-2 + 4 + 0) + (-4*o**2 + 3*o**2 - 2*o**2 + (-1 - 3*o + 1)*(-5*o + 0*o + 0*o))*(-2*o**2 - o + o).\nAnswer: -38*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 94*c. Let h(x) = 2*x**2 - 5. Calculate y(h(t)).\nAnswer: 188*t**2 - 470","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 3.8, 2 in decreasing order.\nAnswer: 3.8, 2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(56)\/(sqrt(40)\/sqrt(5)) - sqrt(7) - (sqrt(49)\/(sqrt(7) + sqrt(7)*-2))**2).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -1 - -583) + (-8 - -14)?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**3\/2 + 8*k. Let x(r) = 2*r. Give x(n(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**4\/12 - 3*v**2. Let p(b) = b + 7*b - 7*b. Calculate q(p(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -7443117\nAnswer: -2232935.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o - 4*o + o + (-5 + 3 + 1)*(1 - 1 + o) + 0*o + 3*o + o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 19*q + 22 - 15. Sort 86, 5, q, 4, 0 in descending order.\nAnswer: 86, 5, 4, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 295 - 797. Is (8 - 10)\/(4\/y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 - 4*w. Let k be y(5). Suppose 0 = -3*m + 2*n + 2, -12 = -2*m + n - k*n. Solve 3*g - m = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6612021644 to the power of 1\/3, to the nearest integer?\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 = 2*b + k, -b - 3*k = 0. Suppose -6*m = -m + b*v, m = -2*v - 7. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = -425932 + 140056. What are the prime factors of v?\nAnswer: 2, 3, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5\/2 - 15*a**4\/2 - 39*a**3\/2 - 21*a**2\/2.\nAnswer: 3*a**2*(a - 7)*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.46 + 368.54. Let l = w - 373.1. What is the nearest to l in 0, -5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**3 - 69*r + 74*r - 5 - 8*r**2 + 28*r**2 wrt r.\nAnswer: 6*r + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 3 + 3. Let i(o) = 5*o**2 + 2 + 0 - 2. What is i(u(c))?\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*d - 522 = 0, -4*d - 3216 = -14*x + 8*x. List the prime factors of x.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407525647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 20. Suppose h + h - 3*v - b = 0, 2*v = -2. What is h rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 0 + 0. Let n(i) = -18*i**2 + 12*i - 12. Let t(m) = 2*m**2 - m + 1. Let y(c) = 3*n(c) + 36*t(c). What is y(u(a))?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*f + 187 + 143 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165*n**3 + 41357*n**2 - 340190602*n wrt n?\nAnswer: 990*n + 82714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5003 divided by -105?\nAnswer: -5003\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekksuzkekekezkkzzkk. What is prob of picking 2 k and 1 z?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 18. Let v(x) = x**3 + 5*x**2 + 2*x + 28. Let q be v(a). Calculate the greatest common divisor of 63 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s + 96 = -2*j, 5*j - 4*s + 296 = 0. Let w = -99\/2 - j. Let q(v) = v**2 + 6*v. Let y be q(-7). Which is bigger: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b*b**(-2\/51)*b*b*b)*b*b**12)\/((b*b**(2\/3))\/b**(4\/3)))**(1\/50) assuming b is positive.\nAnswer: b**(131\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4320318?\nAnswer: 2, 3, 720053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -3478\/10781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 17086340 to the nearest 100000.\nAnswer: 17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1 (b) -0.4 (c) -304 (d) 4 (e) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*-4*(sqrt(200) + -1) + ((sqrt(200) + -1)*-6 + sqrt(200) - (sqrt(200) + sqrt(200)*-1 + 5)))**2.\nAnswer: -1012950 + 87000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.26 + 198.74. Let p = t + -198.999411. What is p rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + 5 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 + j + 5. Let n(g) = -756*g**2 + 8*g - 64. Let x(v) = 6*d(v) - n(v). What is the second derivative of x(k) wrt k?\nAnswer: 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27961*d - 29502 = -28408*d for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhhvvv. What is prob of picking 3 v and 1 h?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.2 (c) -1\/309 (d) 326\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 22.917\nAnswer: -19.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19\/4 of a meter?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8 + 2 - 4 - 3*w**2.\nAnswer: -3*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**2. Let v(l) = 14*l**2 - 2*l - 5. Let c(x) = 7*x**2 - x - 2. Let s(y) = 10*c(y) - 4*v(y). Give o(s(f)).\nAnswer: -784*f**4 + 224*f**3 - 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*3\/(-5))\/((-30)\/150)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**16\/t)\/t)\/(t*t*t*t*(t*t**(-7)\/t*t*t)\/t*t)*(t\/t**7)**(-22) assuming t is positive.\nAnswer: t**148","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26247513\/190 - 138144. Let h = -36\/19 - t. Calculate the common denominator of (-10)\/45 + (394\/(-36))\/1 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-24)\/14*(-126)\/36\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170 divided by -34?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**3*a**(-1)*a*(a*a**(-7))\/(a**(-2\/15)\/a)*((a*a**2)**(-25))**(-41) assuming a is positive.\nAnswer: a**(46112\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/2*x**3 + 1\/6*x**5 + 1\/6*x**2 + 0*x + 1\/2*x**4.\nAnswer: x**2*(x + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -98148*n**2. Let g(o) = o**2 - 7. Calculate g(d(h)).\nAnswer: 9633029904*h**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -809\nAnswer: -2\/809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1261\/(-117))\/(-1) - 11. Suppose 5*b = 10*b - 20. Put c, -3, b, 1\/24 in ascending order.\nAnswer: -3, c, 1\/24, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-387)\/3 + 2)\/(-1). What is the greatest common divisor of u and 1651?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2646000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 87405 times 15.1\nAnswer: 1319815.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 99705 and -0.1?\nAnswer: -9970.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfb when three letters picked without replacement from {b: 1, f: 4, w: 1, x: 4, e: 8, l: 2}?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 954 divided by -3\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2390713.\nAnswer: 13, 19, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence voj when three letters picked without replacement from ojv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(2 + (-20)\/6). Let n = m - -5. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (2 - (-4)\/2). Let h be (-15)\/t*4\/5. Suppose 0 = l - 2*m - 7, 0 = h*m + 2 - 0. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlq when three letters picked without replacement from tqhsllqtj.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r - 21. Let l be u(-5). Let m be 2 + (-3 - 0 - l) - 3. Which is the biggest value? (a) 0.1 (b) m (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-103 - 9) + 6 - (-354 + 347).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxzxnnnngzzzn. Give prob of picking 2 z.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -0.3, -3, -36, -81?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Let g(l) = -9*l**3 - 2*l**2 + 1. Let a be g(-2). Suppose -a = -h*p - 2*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*q + 201 = 0, 11*r - 4*q - 241 = 6*r. Suppose 0 = r*d - 44*d. Solve -5*v - 4 = -2*a, d = -2*v - 2*a + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*g - 250 = -8*k, 2*k + 5*g = 100. Suppose 0 = 4*z + k - 10. Sort z, -3, -1, 3.\nAnswer: z, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 305 + -277. What is the greatest common factor of o and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*o - 44*o - 440 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130\/60 + 68\/(-12) + 6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 5*u + 2. Let l = 11 + -10. Let y(j) be the third derivative of -j**6\/30 - j**5\/60 + j**3\/6 - j**2. Let v be y(l). Determine n(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 = -7. Let x be -2 + 52\/(0 + 2). Suppose -5*q - 5*j + 0*j = -30, 0 = -5*q - 2*j + x. Solve -q*k = -7*k - u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*u + 150*u + 129*u + (-2 + 0 + 0)*(2*u + 0*u - 3*u) - 2*u + 4*u + 0*u - 2*u + 4*u + 0*u + (0 + 1 - 2)*(-2*u - 3*u + 3*u))*(2*u + 0*u + 0*u).\nAnswer: 632*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*c - 18 = -289 - 65 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -48000242 plus -0.4?\nAnswer: -48000242.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 2*i**2 - 7*i + 5. Let a be o(4). What is the third derivative of -11*z**5 + z**5 + 2*z**2 + 7*z - 10*z**2 + a*z**4 + 6*z**5 + z**5 wrt z?\nAnswer: -180*z**2 + 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39096 by -6.\nAnswer: 6516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**18\/(w\/((w*w\/(((w*w*w**20)\/w*w)\/w))\/w*w*w)))\/(w**(-4))**(-5\/2))**(5\/7) assuming w is positive.\nAnswer: w**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccvccvvccccccc. What is prob of picking 2 v and 2 c?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 239 + -109. Suppose -4*c + 3*w - 12 = 0, 6*c - w = c - 26. Is 13 a factor of i\/(-4)*c\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 7 + 6 + 6*w + 14 - 3*w**2. Let a = -72 + 76. What is the remainder when y(a) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499*-2.\nAnswer: -998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4894408.8 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1707 + 1718. Calculate the remainder when 482 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/30*(-8)\/(-2)*50. Do 79 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69\/(-92)*4\/34*2.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -1\/7*k**4 + 0 + 0*k + 1\/7*k**5 + 0*k**2 - 2\/7*k**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -13*v**4\/8 + 65*v**3\/2 + 8*v**2. Let x(u) = 3*u - 15. Let f(k) = -2*q(k) - 27*x(k). What are the prime factors of f(-11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43.4 + -53. Let n = r - -5.7. Let w = n + 4. Which is the fourth smallest value? (a) -4 (b) w (c) -1\/5 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-5))\/(6\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 0.4, -3, 4, -2, 1\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-10))\/((-2)\/96*2). Is 15 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*r = -i, -5*r + 15 = 0. Let c(v) = 3 - i + v**2 + 4 + 7*v**2 + v. Give c(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 21011?\nAnswer: -21012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 q when four letters picked without replacement from {k: 4, q: 2, h: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - p**2 + 3*p**2 + 0*p + 0*p - 2*p**2 + 4*p**2 + 2*p**2 - 4*p**2 + (-p + 0*p + 0*p)*(-3*p - 2*p + 3*p) + 1 + 7*p - p**2 - 5*p - 4*p.\nAnswer: 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100010011000 - 111001011000?\nAnswer: -101011011110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1150?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-24424)\/(-48) + 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -2\/41, -3\/7, -40, 0, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = p + 360. Suppose -3*b = -15, -q + 0*b = 3*b - p. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1175 = -13*n + 174. Let d = n + 82. Solve 0 = 3*s - h - 12, 20 = -0*s + d*s - h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 5. Let q(f) = 4*f**2 + 88*f - 62. Let a(n) = 5*h(n) - q(n). Factor a(u).\nAnswer: (u - 87)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + -46. Let o = -1.862 + -1.138. What is the second smallest value in o, 2\/19, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 33 = v, -22 = -3*v + 1723*w - 1727*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (217825\/(-19))\/(-5) + (-12)\/(-114) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73\/((-2701)\/(-222)))\/((-6)\/(-45)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 4)*(-2*r**5 + r**5 + 3*r**5) - 4*r**5 - 3*r**5 + 6*r**5 + 2*r**2 - 2*r**2 + r**5.\nAnswer: -14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -379*k + 3. Let y(h) = -756*h + 7. Give -5*o(d) + 2*y(d).\nAnswer: 383*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - 3*y + (3*y + 3*y - 5*y)*(-2 - 2 + 3) - 4 + y + 4 + (-6 + 2 + 3)*(-2*y - y + 2*y) as t*y + k and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 500 is divided by 133.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 3*j**3 + j - 5*j**3 + 7*j**3 as i*j**3 + n + m*j + s*j**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*f = 0, -l + 5*f = l. Suppose l = -11*o + 14*o - 36. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**3 - 4194*u**2 - 3*u + 4194 = 0. What is u?\nAnswer: -1, 1, 1398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(3\/8*2). What is the remainder when 34 is divided by 66\/i + (-6)\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5, 289, 781, 1493, 2437, 3625, 5069?\n\"Answer: 2*v**3 + 92*v**2 - 6*v - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-35)*(-3)\/(-5).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1117, 1113, 1103, 1087, 1065, 1037?\nAnswer: 1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 p when four letters picked without replacement from npzpzzz?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -4*x + 670. Suppose 0 = 21*j - 185 - x. Calculate the remainder when 12 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/630 and 47\/3990.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -14*p - 58. Let o(t) = -118 + 109 + p*t + 5*t. What is the tens digit of o(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 182734463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1231, 1229, 1227, 1225?\nAnswer: 1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**5 - 30*w**4 + 75*w**3 + 60*w**2 - 240*w - 192 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from {f: 6, p: 5, r: 1, h: 1, b: 3, i: 3}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -460*p - 11799. Determine t(-25).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 8*n - 4 + 63*n**2 - 66*n**2 + 12*n.\nAnswer: -3*n**2 + 4*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(64)\/sqrt(4))\/sqrt(8) - (sqrt(6)\/sqrt(3)*-3 - (3 + sqrt(4)\/sqrt(2)))**2.\nAnswer: -43 - 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 91988 = -4*f, -3*j + 2*j + 3*f = 92009. What is j rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7607731?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 43 - 9 = -p, 4*p = l - 73. Let g = p - -54. Let o = g + -25. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790619330?\nAnswer: 2, 5, 37, 149, 14341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3287 + 2148. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2 + 3*d**3 + 3*d**3 - 7*d**3 + 8*d**2 + 6*d = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*u - 2*u + 181, 2*u - 5*m = 85. Let y(q) = 11*q**2 - q + 3. Let h = -8 + 5. Let c be y(h). What is the highest common divisor of c and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 37, 3, 11\/71?\nAnswer: 11\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**5 - q**2 + 2*q**2 + 6*q**5 wrt q?\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - -120402?\nAnswer: 120401.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 2)*(-4 + 6 - 1)*(-5*k**2 + k**2 + 3*k**2).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a*o*x**3 + 857*a*o*x**2 + a*o*x + a*o + 3*a + 3*o - 53 wrt x?\nAnswer: 12*a*o*x**2 + 1714*a*o*x + a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**2 + 0*u**2 - u**2)*(3*u - u + 0*u) - 2*u**3 - 4*u**3 + u**3 in the form w*u**3 + c + b*u**2 + k*u and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 6 + 9 - 1 - 2 + (-1 - 1 + 1)*(-5 - 1 + 3))*(-3*i + i - i) in the form c*i + m and give c.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*w)*(2*w + 4*w - 4*w) - w**2 + 0*w**2 - w**2 + (3 - 1 + 3)*(w**2 + 0 + 0).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjcgvvf. Give prob of picking 2 g.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 - -41?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*j + 269100 = -27*j. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816\/510 - 4\/10?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/6622 and 20\/693.\nAnswer: 59598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -1, 2, 347, 4\/3 in decreasing order.\nAnswer: 347, 4, 2, 4\/3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srsu when four letters picked without replacement from hshthhhhyyuyrshhhrth?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 16*r**2 + 31*r + 52. Let k be j(-14). Solve k*m = 13*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5453177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o. Suppose -4*n = -z + 5*z - 56, 5*z = -4*n + 68. Let m(r) = z*r**2 - 8*r**2 - 3*r**2. Determine m(q(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 5*m + 4. Let o = 2 - -3. Let k be x(o). Suppose -2 = 5*a - 2*q - 27, k*q + 5 = -5*a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.85 + -0.05. Let f = 0 + x. Let c = f - 1. Sort 3, 1, c in decreasing order.\nAnswer: 3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 132757226.\nAnswer: -2\/66378613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(78))\/((sqrt(432)\/sqrt(9))\/sqrt(8)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, y: 1, u: 2, q: 1, w: 5}. What is prob of sequence uyu?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2 - 69*n + 155. Let v be h(-24). Solve -132 = -v*y + 105*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17677 + -7586. What are the prime factors of x?\nAnswer: 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -473.912, -1\/2, 4, 3 in descending order.\nAnswer: 4, 3, -1\/6, -1\/2, -473.912","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18980 = -90*b + 80*b. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*t - 99*t - 236*t in the form k + p*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*(-4 + (sqrt(132) + (sqrt(132) - 2*sqrt(132)*5) + sqrt(132) - sqrt(132) - (sqrt(132) - -2*sqrt(132) - sqrt(132))*6)\/(2*sqrt(588)*1)*1).\nAnswer: -20*sqrt(11)\/7 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243422.87985 rounded to the nearest one thousand?\nAnswer: 243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n + 92. Let h = 143 + n. Suppose 3*l + 2*l - 9 = -2*y, 4*y - 63 = -l. Calculate the highest common factor of y and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1580185 divided by -1.\nAnswer: -1580185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19731 - -1?\nAnswer: 19732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*t - 8280 = -58*t. Determine x so that 851*x**2 + 540 - x**3 + t*x - 776*x**2 + 6*x**3 = 0.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436*b**2 - 861*b**2 + 437*b**2.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 242160163 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**4*k - 6*a**2*h*k - 10*a**2*k + 4*a*h + 19*a*k - 5*a wrt a?\nAnswer: 96*a**2*k - 12*h*k - 20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4070, 4061, 4040, 4001, 3938, 3845, 3716?\n\"Answer: -c**3 - 2*c + 4073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or 70511\/41?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5919, 22797, 50923, 90303, 140943, 202849, 276027?\n\"Answer: d**3 + 5618*d**2 + 17*d + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*p + 5*p + 5*d, -2*p = -4*d - 28. Is (-47265)\/(-9) + 10 - p\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 106 = -2*q - 9*i - 0, 3*q = -36*i - 231 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/5 (b) 923 (c) 3\/2 (d) 6 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + -3. Let s be ((-5)\/i)\/(2\/20). Suppose 0*r + 120 = s*r - g, g - 5 = 0. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 12*y. Let g be q(12). Let c be g + ((-112)\/(-52) - 2). Factor -2\/13*a**2 + 4\/13 + c*a.\nAnswer: -2*(a - 2)*(a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {n: 2, u: 3, p: 4, w: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 228228592 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7004.4602 rounded to the nearest 100?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1877300*t. Let g(l) = 3*l**2. What is g(s(f))?\nAnswer: 10572765870000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - 41 - (8 - 36).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*m = -210*m - 348*m - 11536 - 2324 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + sqrt(190)*3)\/sqrt(10))**2 + 2.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 80311.43 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 529815338 a multiple of 688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2\/7 - 796*d\/7 = 0 for d.\nAnswer: 0, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 0. Let i = -92 + 92.2. Let l = 27\/46 - 2\/23. What is the nearest to l in 0, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16236 - 9844 = -8*l. What is the remainder when (-6)\/14 - l\/(-28) is divided by 44?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422933, -422871, -422767, -422621, -422433, -422203, -421931?\nAnswer: -421617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*b + 2*s - 9393, 0 = b + 4*s - 3121. List the prime factors of b.\nAnswer: 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*3\/4*2. Suppose -3*z + 6*z = -o. Let i = 9 + z. Is 2 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**3 - 4*o**2 - 10*o + 9. Let z be b(6). Let r be -23 - -2093 - (-6)\/(-3*1). Let m = r + z. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Suppose g = 2*y + 2*y - 12. Suppose 0 = -2*x + 5*u - 13, 0 = -2*x - 5*u + 4*u + 5. Calculate the greatest common divisor of y and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**5\/15 + d**3 + 5*d**2. Let a(f) = -3*f**2 + 5. Let x(q) = 6*a(q) - 5*u(q). Determine t, given that x(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/40 or 1?\nAnswer: -9\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9246, 38476, 87208, 155436, 243154, 350356, 477036?\nAnswer: 623188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 18*x = -57. Let y = 21 + x. Let l(k) = -y*k**2 + 4*k**2 - 3*k**2 - 4*k**2. Let z(i) = -2*i. Determine z(l(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 120 + 20. What is the units digit of t - (-3)\/6*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 14*i**3 - 16*i**3 - 10*i**2 - 12 + 22*i.\nAnswer: -2*(i - 1)**2*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-2)*(-6)\/180*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5c33 (base 16) to base 15.\nAnswer: 6ed8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014566617 to five dps.\nAnswer: 0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/48488 and -27\/154?\nAnswer: 339416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 5*s = 3*y - 1, -12 = -5*y + 2*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 14. Give b(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**2 - 12186*l - 73224 = 0?\nAnswer: -6, 4068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 < -533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 125256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1663436867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4)\/((-60)\/(-120))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -2419526?\nAnswer: 2419523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 17, -1773 in increasing order.\nAnswer: -1773, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 f, 1 u, and 1 s when four letters picked without replacement from {c: 2, f: 1, u: 3, s: 4, j: 1, a: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((6*(-7)\/(-147))\/((-6)\/(-14))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s + 73. Give l(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96704680 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869*w + 11968 + 26412 = -725 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 396 - 668 = -35*z for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 - 4*v**2 + v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -344, -337, -330, -323, -316?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 908468 < 908468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25046 + 25883. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 8 = -5*l - 1, 4*a - 4*l - 4 = 0. Let r = 0 - -4. Let k be (-3 - -5) + r\/(-2). Solve k = -5*d + a + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 69928.353s?\nAnswer: 0.8093559375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -65*g*t**2 - 2*g*t + 33580*g - 70*t**2 wrt t?\nAnswer: -130*g*t - 2*g - 140*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-3))\/12)\/((-124)\/(-372)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (15 - (-11 - -20))) + -24 - 7.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 287430 divided by 134\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104339 is divided by 77?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 0 - 62\/3*i**3 + 0*i**2 - 30*i - 1\/3*i**4. Factor w(a).\nAnswer: -4*a*(a + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-54) + 1276\/198 - (-116)\/4?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/2 - 8\/4. Suppose -6*g = -h*g - 4. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkknknnnnnnnnknnnnn. What is prob of sequence kk?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 541529 or 541528?\nAnswer: 541529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 226.02255039774 - 0.02254812774. Let t = 226 - b. What is t rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 5067, 7\/5, -2\/13 in decreasing order.\nAnswer: 5067, 7\/5, -0.03, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**2 - 13*d + 40. What is the tens digit of l(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + -1466. What is k rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 14) to base 9\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, c: 4, d: 2, j: 3}. What is prob of picking 1 c and 2 w?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35129, -35134, -35143, -35156, -35173, -35194, -35219?\n\"Answer: -2*w**2 + w - 35128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15773.2 + 15773. Sort g, -62\/5, -0.3 in ascending order.\nAnswer: -62\/5, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 15 = -x + 6*x, 5*h - 15 = 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 111100000100000111001 (base 2) to base 16\nAnswer: 1e0839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 13*w**4 + 2546*w**3 + 2418*w**2 - 9*w + 6. Let q(p) = -4*p**4 + p**3 + 3*p - 2. Let i(f) = b(f) + 3*q(f). Find the third derivative of i(x) wrt x.\nAnswer: 24*x + 15294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41934*t - 41934*t + 13*t**3 - 24.\nAnswer: 13*t**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462053534.\nAnswer: 2, 283, 673, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 38504998. Let p(o) = -2*o. Calculate p(g(d)).\nAnswer: -2*d**2 + 77009996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 1dc7?\nAnswer: 1dc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.68 - -18. Let h = -0.1 + p. Let s = h + 0.08. What is the second biggest value in 4, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 10:15 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1583, 6728, 15387, 27560, 43247, 62448, 85163?\n\"Answer: 1757*y**2 - 126*y - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2224265098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.092125 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-6))\/((-8)\/3 + -2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 4 + 33\/(-6). What is the closest to -0.1 in 4, 13, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 3131128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**2 - 6*q - 60. Let g = 8 - 4. Let i(h) = 3*h - 11. Determine g*i(a) - 7*x(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 8.898, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-22))*i**(-14))\/(i**(3\/13))**(2\/23) assuming i is positive.\nAnswer: i**(-10770\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10763472 divided by -2690868\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**(-27)*p**(1\/5)*p**4)\/((p\/(p**(1\/2)*p*p))\/(p\/(p\/(p**4\/p*p)*p))*(p*p*p\/p**(2\/7)*p)**22) assuming p is positive.\nAnswer: p**(-7001\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 137 + 117. Let d = 257 - c. Solve 4*i + 3*f - 10 = 10, d*i + 3*f - 18 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + 0 + (-3 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11092066.02s to weeks.\nAnswer: 18.34005625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*m*z**3 - 98*m*z**2 + m*z + 4*z**3 wrt z.\nAnswer: -66*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 30 + 30 = 0. Suppose -4*l + 10*l = -f. What are the prime factors of (14 + -16)\/(252\/(-125) - l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 174?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**3 + 4*k**2 + 3*k + 9. Let f(w) = -5*w**3 - 4*w**2 - 2*w - 10. Let y(i) = -3*f(i) - 4*u(i). Give y(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-224)\/(-24)))\/((-6)\/(-40))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 0 - (-10 + 46 + -38).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-146)\/(-4) + 2\/4. Find the second derivative of 505*o**5 - 484*o**5 - h*o + 6*o + o**3 wrt o.\nAnswer: 420*o**3 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 30219.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/((-15)\/(-370))*-1. What is l rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*530.\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1585301 - 0?\nAnswer: -1585301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1418, -3075, -4722, -6353, -7962?\nAnswer: -9543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112011 - -110112120?\nAnswer: 110000102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 g, and 2 m when four letters picked without replacement from {g: 3, x: 3, o: 1, m: 2, n: 1, h: 8}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 5. Suppose -c*b + s = -20, 6*b + s = 2*b + 52. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17336, 34664, 51992, 69320, 86648, 103976?\nAnswer: 121304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = -5*p + 14*k + 40364, -3*k = 9. What are the prime factors of p?\nAnswer: 7, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*v\/(v\/((v*v**(-2)*v)\/v))*v*v*v))**(4\/13))**44)**(-40))**(-2\/55) assuming v is positive.\nAnswer: v**(-512\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 2929\nAnswer: -2926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -i + 3*w, 4*i + 13 = 2*w - 3*w. Let x = 28336 + -510199\/18. Find the common denominator of x and (-97)\/10 + (-2)\/i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + -10 - (-11 + -23 + 38)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2389*j + 2486*j - 288 - 2057 + 599 = 0 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of r**4\/2 - 11*r**3 + 24*r**2. Let z be t(6). Solve -3*y + 2 = -4*u, 0 = -2*y + 2 - z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, q: 7, f: 3}. Give prob of sequence qfkq.\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/127562 + 33230027\/5357604. Let q = 160\/21 - v. Find the common denominator of q and 2\/3 - (-39)\/36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - p - 70 = -5*h, 0 = -h + 4*p + 49. Calculate the common denominator of -1 + h\/20*-6 and -65\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*y + 24 - 13 + 20 - 2 wrt y?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3342 and 46746?\nAnswer: 26037522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -844, -1653, -2424, -3157, -3852?\nAnswer: -4509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/4 - 11*n**4\/4 - 29*n**3\/2 - 17*n**2\/2 + 57*n\/4 + 45\/4 = 0. Calculate n.\nAnswer: -3, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.06, -3, -2\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170972 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, y: 7}. Give prob of picking 1 w and 2 y.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppkhpkphhphphhkp. Give prob of picking 3 k and 1 p.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 47. Suppose -5*l + 134 = 4*f, 53 = 3*l - 5*f - 57. Let c be ((-20)\/l)\/(n\/(-273)). Round c to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 4*o, 55*l + 2*o = 52*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002094 rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18088028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -148 or -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -22*j**2 + j**3 + 21*j**2 + j - 6 + 2. Let w be x(0). What are the prime factors of -1 + (-14*2)\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -22*i**3 + 4 + 12*i**2 + 66*i**3 - 14*i - 43*i**3 + 1. What is h(-13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -362, -360, -356, -350, -342, -332, -320?\n\"Answer: o**2 - o - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3740396145.\nAnswer: 3, 5, 19, 97, 135301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/9 - (-43)\/9. What is the derivative of 1 + 3*s + 2*s - 2*s - h*s wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 2*i**2 + 0*i**2 + 3*i**3 + 7*i - 4*i as o + v*i**3 + f*i + a*i**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323 - -212?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-36)\/8)\/(-9))\/(2\/96). Let p be -1*(1 - (-1 - -1))*h. Let d be 6\/(-16) + 39\/p. Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 4. Let a be y(-6). Suppose -3*m - 8 = -5*q + 6, 0 = 5*q - m - 18. What is the remainder when 15\/a + 2\/(-4) is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6 - k**3 - 2*k - 8*k**2 + 0*k**3 + 0*k**3 - k**2. Let s be b(-9). Let v = 14 - s. Calculate the highest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95 - -98. Let a be 90*(-2 - (t\/6 + -1)). What are the prime factors of (69 + -1)*a\/(-30)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2288 by -6.\nAnswer: 1144\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - 10) + 19 + -35?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**4\/12 + 294*h**2 - 18. Let m(k) = -13897*k**2. Calculate m(l(q)).\nAnswer: -55588*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4839.7 - -4839. Which is the nearest to 3? (a) -4 (b) -2\/13 (c) 17 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1463066600113\/3628922 - -24996435\/62. Let i = 16\/313 + u. Let c = -3565\/561 - i. Calculate the common denominator of c and 23\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16183*p = 1058500 - 278656 + 336783 for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 46505.74 to the nearest ten.\nAnswer: 46510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 580 and 14780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51448 is divided by 245?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 28 in descending order.\nAnswer: 28, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 10. Which is the closest to -0.1? (a) 3\/5 (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (16 - -1 - (3 + 0 + 7)) + -7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2384 by -298.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -15*g - 5. Let p(z) = 31*z + 9. Calculate -3*p(k) - 5*v(k).\nAnswer: -18*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -26*l**2. Let n(y) = -6*y - 981857. Determine n(v(x)).\nAnswer: 156*x**2 - 981857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12987530*l + 2. Let y(h) = 5*h**2. What is o(y(s))?\nAnswer: 64937650*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1 - 4 = 0. Let x(w) = 7*w**2 - w + 1. Let a be x(u). Which is smaller: a or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*t = -5*n + 50*t - 23, -4*n + 2*t = 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 7ba?\nAnswer: -7b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/2606249?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3931 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 2:11 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*j + 109, 19*v - 14*v = j + 713. Calculate the highest common divisor of v and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**5\/30 + r**4\/9 + 36*r + 3. Determine p, given that u(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14238770 divided by 2847754?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4 - 1, 78 = 3*c - 3*w. Suppose 0 = 2*s - c + 9. Let z(x) = -3*x - 1. What is the least common multiple of s and z(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4192?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c - 476. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 50009762 divided by -22\nAnswer: -2273171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c**2 - 2*c**2 - c - 4*c + c**3 - 4. Calculate w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 83.\nAnswer: 1660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -36. Let i be (-659)\/(-8) + 6\/(-16). Let w = 70 - i. Is h at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 12*u**2 + 4*u + 2. Let i be q(-3). Suppose -5*w + 47 = -i. Suppose 5*t - 126 = w. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60286 divided by 1.\nAnswer: -60286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/3)*i*i)**21*i*i**(3\/5)*(i\/(i\/(i**(-1\/3)*i)))\/i)\/(i**1\/i**(-2\/7)*(i*i\/(i*i**(1\/5))*i)\/i**(-1\/2)) assuming i is positive.\nAnswer: i**(11273\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121*c**6 - 16*c**6 + 5*c**2 - 3*c**2 - 41*c + 5 - 8*c**2 - 2 wrt c.\nAnswer: 12600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/30 and -37\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428119 is divided by 1107.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d. Let o be 1 + (0 - 2) + 11. Let k(n) = n + o*n - n. Give k(s(h)).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1144, 5, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (0 - -1) - (-72)\/18. Suppose 5*h + 17 = -s, -2*s - 20 = -s + 4*h. Let t = s + 37. Solve t*o - a*o + 5 = -2*g, 4*o - g = 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -5*t - 20, -175*d - 19*t + 6 = -180*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/1)\/(390\/325)*(-18)\/(-15)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14636*q - 14639*q + 4*d + 31, 2*q + 3*d - 15 = 0 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, x: 3, l: 5, s: 6, j: 2}. What is prob of picking 1 g and 1 l?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 596204488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45440.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -535*z**3 - 1659*z**3 - 1723*z**3 + 203*z**3 - 405*z**3.\nAnswer: -4119*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -123*c**2 + 48*c + 3. Let a(k) = -247*k**2 + 97*k + 5. Let v(s) = -3*a(s) + 5*d(s). Find the second derivative of v(l) wrt l.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 + (-3)\/(-84). Let s = 2.7 - 3. Let l = 0 - s. Which is greater: b or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-5))\/(2214\/66420).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 6*b + 10. Determine s(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4823438 millilitres?\nAnswer: 0.0004823438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q - 9. Let m(z) = -4*z - 7. Let t(x) = -3*j(x) + 4*m(x). Give t(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 75, 114, 153?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + u**2 - 2*u**4 + (1 + 0 - 4)*(9*u - 6*u + 7*u)*(-u + u - 3*u)*(0*u + 0*u - 2*u**2).\nAnswer: -182*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 15 = -4*w. Let y be 2 - (2 + w) - 0. Suppose 11 = j + 4*j - 3*i, 0 = -5*j - 3*i + 29. Solve 0 = j*l - m - 1 - 4, -4*l = -y*m - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(27\/6 + -4). Suppose o*k - 6*k - 4 = 0. Solve 0 = -h - 3 + k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**6\/120 + 5*z**4\/24 + 6*z**3 - 29*z**2. Let j be y(0). Let x = j - -17. What is the remainder when 101 is divided by x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ibil when four letters picked without replacement from {l: 5, v: 2, b: 2, i: 2, m: 3}?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39870 and 156822.\nAnswer: 2658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -336*n**4 - n**2 - 813*n?\nAnswer: -4032*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 11*m**2\/4 + 3117*m\/2 = 0.\nAnswer: -6234\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 6. Let u be (-6)\/(-3) + p\/2. Suppose 5*l - 37 = -4*w, u = -7*w + 2*w + 3*l + 37. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*s + 80 = 0, -13*c - 5*s + 37 = -14*c. Let a(x) = -x**3 - 10*x**2 + 22*x - 22. Calculate a(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*x**3 + 33\/2*x + 9*x**2 + 8.\nAnswer: (x + 1)**2*(x + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-712)\/32 - -21)\/((-1)\/10568) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.306 - -0.106. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1102466 (base 10) to base 9\nAnswer: -2060262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -7. Suppose 0 = r*l - 23*l + 63. Suppose -44 = -l*d + 19. Calculate the remainder when 44 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 30. What is the remainder when i is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -115 + 450 - 4*c**2 - 114 - 49*c - 109 - 113 as x*c + n + o*c**2 and give x.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6.8, 1, 6, -2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126708 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: Let j(h) be the second derivative of 13*h**4\/6 - h**3\/3 + 3*h**2\/2 - 8*h. Let o be j(3). Calculate the greatest common factor of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 13. Suppose f = -o - 4 + 13. Find z such that 12*z**3 + 9*z - 3 - o*z**2 - z**3 - 8*z**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2647 - -3.2647. Suppose 4*i = -3*p + 2*p + 36, 108 = 4*p - 2*i. Which is the smallest value? (a) p (b) -5\/2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 10188 - 11020 = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 2*z**3 + 27 - 24*z**2.\nAnswer: 2*z**3 - 24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 215*f**2 - 370*f + 1640.\nAnswer: -5*(f - 2)*(f + 4)*(f + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4937431 equal to -39499437\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a kilometer in meters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/((-1960)\/75))\/(6\/(-21))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 154 and 1925609?\nAnswer: 42363398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007\/106*7380916\/42 + 4\/42 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 0.3, 7\/5 in descending order.\nAnswer: 7\/5, 0.3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o + 92*o = -63*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 21*m**2 - 24*m - 42. Give b(-22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174643 and 1927478?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 9:20 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3da4 (base 16) to base 13.\nAnswer: 724b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2439452 - 3815239. Let m = -1375787.03600215 - d. Let t = 0.036 + m. Round t to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -7 - 4) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*g + 8. Let m be 27\/(-9) + (4 - g). Let s be 0 - -2 - 26\/12. Which is the closest to m? (a) s (b) 1 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 - 0.9. Let q = h + -1.9. Sort 0.3, 3, q in descending order.\nAnswer: 3, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8 - ((-4419)\/756 - -5).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 68947.43l?\nAnswer: 68947430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11057104 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11, 41, 93, 167, 263?\n\"Answer: 11*f**2 - 3*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 204 - 351. Let m = -218 - a. Which is smaller: m or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.008 in -0.01, -1\/3, -2\/9, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41129?\nAnswer: 11, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19214.635 + -19279. Round d to 0 dps.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 2 + 12 + u**2 + 4*u**3 - 6*u**3 - 6 + 3*u**4 to h*u**3 + f*u**2 + m + p*u**4 + b*u and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 3*p**2 - 2. Let m = 60 - 62. Let k be w(m). Solve 0*b = -k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1 = s, -4*n + 9 = -s + 8. Let j be (1\/2 - 1)*-8. Suppose l = -j*l. Solve f + 3*i = 7, 4*f + 3*i + l*i - 10 = n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/8 - (-4850)\/6600 and 61\/123?\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18729704 and -11.\nAnswer: -206026744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = h - 5*x, 3*h + h = 4*x - 12. Suppose c - 3*p - 107 = h, -c + 106 + 3 = -p. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 12*b. Let i(x) be the second derivative of -x**4\/12 + 5*x**2\/2 - 9*x. Let v(z) be the first derivative of i(z). What is y(v(s))?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 times 445?\nAnswer: -46725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 551*v + 263*v - 2650*v - 1662*v**3 wrt v.\nAnswer: -9972*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 280195954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3612826 is divided by 474.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/6*(-2)\/(-1). Let d be 1 - ((3 - n) + -1). Suppose -5*j = d*h + 3 + 7, 5*j = -h - 10. Is -0.1 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + sqrt(99))*5)**2 - (5 + (sqrt(99))**2 - (sqrt(121)\/(sqrt(11)*2) - sqrt(11))).\nAnswer: -5401*sqrt(11)\/2 + 23071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 - 3*o**2 + 4 - 4*o + 6*o**2 - o - 2*o**4 in the form t*o**4 + a*o + d*o**2 + n + m*o**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -1, -24344, -5, -26, -4 in ascending order.\nAnswer: -24344, -26, -5, -4, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + -43?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b**3 + 72*b - 250?\nAnswer: 9*b**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 + 209*o**2 + 787*o - 49709. Calculate r(106).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 241707?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1078146?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/4)\/((-6)\/12). Suppose o*h + 10 + 4 = 0. List the prime factors of (-1 - h)\/(4\/(-8)) - -229.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745.384 millilitres in litres?\nAnswer: 0.745384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0*(-1)\/(-3))\/(-2). Suppose s*n + 4*n = 76. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*m + 24 + 66 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -9*n**2 + 23. Let s be (-2)\/(-14) - 3*(-24)\/(-14). Let v(f) = -10*f**2 + 22. Let j(m) = s*v(m) + 4*y(m). What is the derivative of j(i) wrt i?\nAnswer: 28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1473 and 240?\nAnswer: 117840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96845?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-22)\/20)\/11)\/((-4)\/16).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11057983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/5 - 6370\/(-8775).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**7\/1890 + b**6\/1080 - 5*b**4\/24 - 26*b**2. Let x(c) be the second derivative of g(c). What is h in x(h) = 0?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7265.14 - 7274.140056. Let i = -9 - p. What is i rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120 + 110?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.712 + -4.712. Let d be 2\/(-4) - (-1)\/5. Is d < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224148269771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 3*n - 5*n)*(44 - 347 - 389) as z*n + q and give z.\nAnswer: 1384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 15*v**3 - 2*v**2 + v + 4. Let w be b(4). Let p be (-3)\/(4\/w*-2). Let d be (9\/p)\/((-2)\/(-12)). Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 855.13108 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w**3 - 23*w**2 - 6*w + 5. Let g(h) = -3*h**3 + 13*h**2 + 4*h - 2. Determine -5*g(a) - 2*s(a).\nAnswer: 3*a**3 - 19*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9559 - -9593.095. Let r = 0.095 - j. Let p = r - -33.9999964. What is p rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -48*k - 3. Let b(c) be the second derivative of c**4\/12 + c + 29. What is h(b(s))?\nAnswer: -48*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 - 547*c**2\/4 - 25475*c\/4 - 310625\/4.\nAnswer: -(c + 25)**2*(c + 497)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r + 23. Let i be u(-13). Suppose 0 = 4*o - 6*o + i. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 16206 = -3*s, -27019 = -2*p - 3*p + 4*s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/4)\/(70 + -60).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3271135800 to the power of 1\/3, to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1142*a - 2252. Determine v(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -183 + 334. Suppose 0*s - 412 = -4*z + 2*s, 0 = s - 4. Let u = p - z. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(12\/(-52)) + 65189\/6251?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/3622 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6689.549nm in millimeters?\nAnswer: 0.006689549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**3 + 144*w**2 - 740*w - 2088 = 0.\nAnswer: -2, 9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h. Let p(y) be the third derivative of -y**5\/60 + 13*y**2. What is f(p(j))?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (232\/(-290))\/((-2)\/10) and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**2\/2 - 657*v\/4 - 327\/4 = 0.\nAnswer: -109, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00185 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**7\/280 - n**6\/240 - n**5\/60 + n**4\/48 + n**3\/24 - 3*n**2 + 2. Let k(z) = 0. What is z?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = h + 203, 12*v + 2*h = 7*v + 270. Solve g + v = 54 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1092 - 19655\/18. Let b(u) be the second derivative of 3*u**2 + 0 - 2\/3*u**3 - 8*u + h*u**4. Solve b(z) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2055*s = 2058*s + n - 25, 5*s = -10*n for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 divided by 6016?\nAnswer: -3\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1602242 (base 10) to base 7\nAnswer: -16422155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 741\/4 + -184. Suppose -2*c - 8 = -a + 2*a, -4*a - 3*c - 37 = 0. Let o be 3*-5*(3 - a\/(-3)). What is the third smallest value in b, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttjjjjjttj. Give prob of sequence tjjt.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 236*t**2 + 2546*t - 19. Determine b(106).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7158 + -5892. Calculate the remainder when h is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**3 - 6*s**3 + 4*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*k**3*w**2 + k**2*w + 9*k**2 + 4772*k*w**2 wrt k?\nAnswer: 360*k*w**2 + 2*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aadaaaddddadaada. Give prob of sequence dd.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92.8 + 48.8. Let z = 552 + -595.7. Let r = l - z. What is the closest to 2 in r, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -169?\nAnswer: -1\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -330, -3443, -8694, -16083?\n\"Answer: -1069*t**2 + 94*t + 645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 66*w**2 - 19*w - 36. Is 6 a factor of q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 310 by 3.\nAnswer: 310\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighteenths of a day in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90756 - -29041953\/320. What is the common denominator of 65\/56 and d?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**3 - n**2 - 5*n + 49. Let t(l) = -11*l**3 - 2*l**2 - 11*l + 98. What is 2*t(c) - 5*z(c)?\nAnswer: 3*c**3 + c**2 + 3*c - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*-4*-1*1*sqrt(11) + -4*(0 + sqrt(77)\/(sqrt(196)\/sqrt(7))).\nAnswer: -22*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5690.43 * 3\nAnswer: -17071.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22224562 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + 31*r**2 + 112*r - 7. What is q(-8)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 4) + 2 + 28. Calculate the greatest common divisor of b and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1528462 (base 11) to base 7\nAnswer: 31150415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1281 - 1234) + -1 + -16?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -1 (b) -0.3 (c) 0.363 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 744*g**2 + 17*g - 27. Is t(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/(-12))\/((-1)\/28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**5 + 156*l**4 + 704*l**3 + 800*l**2 - 576*l - 1088 = 0.\nAnswer: -34, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a + 1 - 2*a - 2. What are the prime factors of z(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 1152 = -3*l. Calculate the remainder when l is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 57499*r**3 - 2*r**2 - 41*r - 390. Let o be j(-6). Round o to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-7 - -3 - 2) + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100 (base 2) to base 5.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand i + i + 2*i**2 - 4*i**2 + (4 - 4 + 2*i**2)*(1 - 5 + 2) + 51*i**2 - 947 + 947.\nAnswer: 45*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 4:17 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.2, 2\/5, 4\/7, 3, -1.56 in descending order.\nAnswer: 3, 4\/7, 2\/5, 0.2, -1.56, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95503245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**6\/360 + q**5\/40 - q**3\/6 + q**2. Let u(v) be the first derivative of j(v). Suppose 0 = 5*t - 0*t + 15. Determine u(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256410439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.25921 and 0.43?\nAnswer: -0.5414603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 18*r**2 + 2*r + 2. Let n(q) = 18*q**2 + 3*q + 2. Let y(o) = 5*b(o) - 4*n(o). Let l be y(1). Let t be 4\/l - 636\/(-54). Solve 3*x = t - 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 12:14 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-334)\/(-22) + (-8)\/44. Let p be (4 + -5 + 3)*2. Let c be (-4 - (-15)\/p) + 51\/12. What is the closest to 1 in 0, c, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84675617?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -4*b**5 - 5531*b**4 + 1322619*b**3 + 2858540391*b**2 - 714717675*b = 0.\nAnswer: -1029, 0, 1\/4, 675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19967 + -19958. What is the closest to 2\/21 in -1\/2, x, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -304 + 15?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -23541 * 69\nAnswer: -1624329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 5 - 4)*(-3 + 1 + 0) + (0 - 3 + 1)*(-3 + 2 + 0) + 0 + 0 - 2 - 65 - 87 + 10)*(4*s - 3*s - 2*s)*(-4 - 4 + 3) as w*s + g and give w.\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -669*s**4 - 117*s**2 - 13*s**2 - 951*s**4 wrt s.\nAnswer: -38880*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 0*g + 2*g + 2*g. Let h(u) = 12*u. What is w(h(d))?\nAnswer: 36*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b - 19*b - 24*b - 15*b.\nAnswer: -38*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 - 8*y**2 + 5*y + 11. Let c(f) = f - 15. Let q be c(9). What are the prime factors of k(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47520 by -5.\nAnswer: 9504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -233096.401 and -62.\nAnswer: -233158.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1394\/(-89216) + (-113)\/960\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/274 and 75\/274.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 0.4 (b) -1 (c) 1\/75 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 0.064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4688 and 1808.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35187?\nAnswer: 3, 37, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -255 + 254.5. Which is the third smallest value? (a) r (b) 5\/6 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-122)\/(-20) - 42\/420) + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.43 - -0.21. Let r = 12.15 + -12. Let f = m + r. Round f to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1193 - -2005. What is the remainder when y is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1472*j = 106*j - 157133 + 16435 for j.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.488?\nAnswer: 0.488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 717526 = 19*g - g - 241856. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -102, -198, -282, -354, -414, -462?\n\"Answer: 6*j**2 - 114*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*j + 2*o - 6, 9 = 3*o. Let f = j - 0. List the prime factors of -4 + (8 - f) + 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 949*a = 1053*a - 982 + 973 + 3337 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1538\/8459)\/(2\/308)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, p: 1, r: 2}. Give prob of sequence kr.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/7 + (-2)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b - 68. Let j be p(20). Suppose -3*w = -141 - j. Calculate the remainder when w is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-6 + (14 - 6 - 0) - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 4*u = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 189.7, 33, -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 24.7. Let u = 5 - j. What is the closest to -1\/3 in 0, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 506.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, 1 in decreasing order.\nAnswer: 7, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**3*v**2 + 1279*s**3*v + 162*s*v - 10*v**2 wrt s?\nAnswer: -6*s*v**2 + 7674*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y = 70*y - 20. Factor -4*k**2 - 33*k**y + 13*k**4 + 6*k**3 + 18*k**4.\nAnswer: -2*k**2*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 733471 divided by 8837\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1567\/(-14103) + (116\/(-30))\/((-12)\/(-40))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 8*a + 3. Let t be y(-8). Let b be ((-22)\/297)\/(1\/t). Let s = -22 + 27. What is the third biggest value in s, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.27 + -0.251. Let f = n - -0.034. Let q = f + -0.253. Sort q, 3, -2\/5, 1.\nAnswer: -2\/5, q, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-14))\/((-5)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574444857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 57\/4? (a) 5 (b) 2\/7 (c) 0 (d) -17\/4 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23798 or 23797?\nAnswer: 23797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35799689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.17739 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**5\/15 - h**3\/3 + h**2 - 3. Let d(i) be the second derivative of c(i). Differentiate d(t) with respect to t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -47. Suppose 3*o - 2*o + 2*l = -1, 0 = 4*o - 2*l - i. Suppose 120000 = -0*p + o*p. Round p to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106967 divided by 59.\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*b + 264 = 125*b - 33*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40370 + 236187. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -4.493251.\nAnswer: -4.493251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aqqqhqjqhhqvcqcjj. What is prob of sequence cq?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*t = 4*b, -2*b = t - 15. Suppose -18 = -b*w + 82. Suppose 5*j + 2 - 102 = 0. Calculate the lowest common multiple of j and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14598514 and -463.\nAnswer: -14598977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = n + w, 5*n + 4*w - 238 = 4*n. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 24. Give i(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 313 + -316. Let m = 7 + -7.1. Which is the third smallest value? (a) w (b) -0.6 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(5\/3)*(o**7*o)\/o*o*(o**(-5\/8))**(2\/83) assuming o is positive.\nAnswer: o**(9613\/996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 2, n: 3, c: 1}. What is prob of picking 1 n and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:38 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -8.1. Which is the smallest value? (a) 3 (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:31 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -961*t + 2496 + 2309. Suppose -5*f + g - 40 = 0, -4*f + 3*f - 8 = 3*g. Let l(n) = -7*n - 1. Let a(s) = -11*s - 2. Give f*l(y) + t*a(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -3*u**2\/2 + 25*u + 44. Let m be l(9). Is -7 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*n**2 + 6*n**2 + 2*n**2 + 6*n**2 - 81 - 36.\nAnswer: 4*n**2 - 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**2 - 192*u - 2048 = 0. Calculate u.\nAnswer: -32, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -72416.639 - -1\nAnswer: -72415.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {t: 4, b: 2, d: 10, l: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -29. What is the remainder when 203 is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 590314617 and -0.18.\nAnswer: 590314616.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/6*1*48\/(-48).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141801?\nAnswer: 3, 11, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12453 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/27)\/((-4)\/29))\/((15\/27)\/(-5))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.12 + 0.8. Let d = 8 - o. Let u = 0.22 + d. Which is the second biggest value? (a) -2 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-380)\/(-2508)*((-1)\/60)\/((-50)\/400).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-2)\/(-114))\/(14\/(-2)*2284\/(-47964)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37\/(-74))\/(5\/(-2))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70719 or -1\/7?\nAnswer: -70719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 1816450?\nAnswer: 1816443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709667?\nAnswer: 7, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 254*f**3 + 186?\nAnswer: 762*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 217 + 290. Suppose 4*n - 186 = 3*y, -2*n - 5*y + j = 63. Calculate the greatest common divisor of 24 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00029775 to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11260 and 489810?\nAnswer: 979620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 7 = -4. Let d(v) = -v**2 + 3*v - 3. Let h be d(3). Let a(x) = -19*x - 2. Let b be a(h). What is the greatest common divisor of k and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 6. Let u be l(4). Factor 8*b**2 - 4*b**2 - 3 + 2*b + 2*b**5 - 4*b**3 - u*b**4 - 1 + 2.\nAnswer: 2*(b - 1)**3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x + x + x. Let i(w) = 4*w**2. Give i(n(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 72841208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-42) - (-1 + 600\/(-70))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -7. Let s = 62 - t. Suppose -l - 10 = 3*i - s, -5*i = -2*l - 34. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 9:46 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 2457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -12*j - 3, -4*j = -4*g + 16. What is the least common multiple of 307 and g?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 - 1.2. What is the closest to -0.1 in h, 0.1, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12947165 is divided by 181.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = 4*y. Suppose 0 = -f - 4 + 10. Let o = f + y. Calculate the remainder when 22 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 44361 = -96*n - 53*n. Calculate the remainder when n is divided by 76.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 11:29 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -109.79 + -32.8\nAnswer: -142.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 + -1.3. Let r = 0.2 - l. Let n = r + 2.7. What is the biggest value in 1\/5, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(2\/(-1)))\/(40\/(-40)). What is the closest to -3 in t, -2\/51, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1506)\/(-300))\/1 - 5. Let v = -209\/450 + o. Let b = -6.7 + -1.3. Sort v, b, -2\/9.\nAnswer: b, v, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 869863406.\nAnswer: 2, 83, 5240141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/36138 and 121\/48.\nAnswer: 289104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -12*o - 22. Let u(h) = 12*h + 22. Let c(r) = -6*f(r) - 5*u(r). Is 15 a factor of c(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + l - 8. Let n(m) = m. Let v(a) = -5*n(a) - u(a). Let k be v(5). Solve -1 = h + k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.08 + 0.9. Let o = 0.1799965 + x. Round o to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 11:14 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18, -27, -36, -45, -54?\n\"Answer: -9*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 0 + 1\/6*t**3 + 1\/30*t**5 + 0*t + 0*t**4 + t**2. Find the first derivative of x(r) wrt r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m + 1044 = 0. Suppose 2*f = 5*j - m, -3*j - 2*f = -0*f - 326. What are the prime factors of j?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*q + 34711, -4*u + 39239 = -5*q - 7054. What are the prime factors of u?\nAnswer: 2, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1621 + 1636. Calculate the remainder when 101 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 29, 0, -11942?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 51384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*j - 540 = -432*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27931, 111884, 251809, 447706, 699575, 1007416, 1371229?\n\"Answer: 27986*g**2 - 5*g - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9637558 and 6883970?\nAnswer: 48187790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 4:11 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmiiiihimmmimiikim. What is prob of sequence hki?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*l - 4 = 0, -1 = l + 3. Let c = -125 + 149. Let y be -5 - -1 - c\/8. Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 434 and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -3\/2, 10, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 42 - -2850e?\nAnswer: 28551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3831193 and 0.3.\nAnswer: 1149357.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106.53 - 107. Let c = m + 543.47. Let l = c - 517.3. Round l to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 46204113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10041 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 30 - 6. Suppose 0*m - t = -3*m, -76 = -4*u + 5*m. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 113*s**3.\nAnswer: -113*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b + 75 + 2912 = 0. Calculate the remainder when 305 is divided by b.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 - 64. Let v be 33\/(-143) - 294\/(-91). Put -5, v, t, 71 in decreasing order.\nAnswer: 71, v, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53085, 69900, 97925, 137160, 187605, 249260, 322125?\nAnswer: 406200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**3 - 6*u**2 + u + 6. Let n(p) = p**3 - p**2 + 1. Suppose 4*d - 14 = 2*k, -16 = 4*d - k - 25. Calculate d*m(j) - 6*n(j).\nAnswer: j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/5 - 474\/(-30). Suppose 3*t + t = l. Suppose -3*d - t*q + 34 = 0, -5*d = 2*q - 0*q - 38. What is the remainder when d is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*z = 225*z + 27. Let k = -2 - -2. Suppose k = 5*x - z - 16. Solve -2*n + 5 + x = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -14*s**3 + 23*s**2 - 26*s - 111. Is w(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (80 - (-6 - 26)) + 12.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, d: 2, q: 1, t: 1, l: 1, y: 1}. Give prob of picking 1 t, 1 l, and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -36626, 0, -0.1 in descending order.\nAnswer: 0, -0.1, -36626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -4*y - 7. Let l be b(-2). Suppose 3*t = 14 + l. Suppose -85 = -9*v + 4*v - t*z, 3*v = 3*z + 39. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 114 - 114. Let a(c) = c**2 + 0*c**2 - 4*c**2 + 2*c**2. Calculate a(q(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 10}. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8 = -23. Let z(t) = -4*t**2 + 3*t. Let o(y) = -2*y**2 + 2*y. Let n(x) = r*z(x) + 5*o(x). What is the units digit of n(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -38, -5, -878?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*w**4\/7 - 51*w**3\/7 - 93*w**2\/7 + 60*w\/7 = 0. Calculate w.\nAnswer: -5, -4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15955.\nAnswer: 5, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14304 = -539*u + 759*u + 972*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + 0*w**2 + 2*w**2 + 2*w**2 + w**2 - 5*w**2 + (3*w + 0*w - w)*(-1 + 1 - 4*w) + (1 + 1 - 4)*(2*w**2 + w**2 - 4*w**2).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -0 - 10. Let r(a) = -7*a - 6. Let y(u) = -8*u - 7. Let k(x) = l*y(x) + 6*r(x). Suppose -5*p + 0*p = 4*d + 2, -4*d + 5*p - 22 = 0. Determine k(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 80*d + 323. Let j be q(42). Solve 145*y - 20 = j*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -c - 13, 4*c + 2 = -0*c - 5*r. Let a be 4*(c\/(-30) - (-6)\/15). Factor 4*i**3 - 227*i**2 + 227*i**a + 4*i**4.\nAnswer: 4*i**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1039942.0393 + 1039559. Let j = d + 383. Round j to three decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - t - 5. Let p be n(4). Suppose -83 = -3*u - 4*q - p, -3*q = -12. What is the greatest common factor of 60 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9 - 8) + -1 + (-52)\/(-18). What is the nearest to -1 in 0, m, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**5\/20 - o**4\/3 + o**3\/2 - 3*o**2 + 280*o. Let v = 5 - 10. Is 3 a factor of z(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30208.1294 to the nearest integer.\nAnswer: -30208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 20*r - 17*r)*(2*r + r - 5*r).\nAnswer: 64*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15b5 (base 15) to base 12\nAnswer: 2852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -285769039*b**4 - 18294*b + 3749 wrt b.\nAnswer: -3429228468*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 0*l**2 + 0*l - 4\/3*l**3 - 27. What is p(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1098, -4409, -9928, -17649, -27566, -39673, -53964?\n\"Answer: s**3 - 1110*s**2 + 12*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/42)\/(-36*(-40)\/2240).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l. Suppose -2*u + 11 = n, -2 = -5*u + n + 22. Let r(m) be the third derivative of 0*m**3 - u*m**2 + 1\/12*m**4 + 0*m + 0. Determine z(r(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -3*g - 5*z, -3*g - 3*z - 30 = -0*g. Sort -5, -3, g.\nAnswer: g, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -56, 3, 722, 1\/5, -1, -2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*z - 33, -2*z + 2*f = -4*z + 26. Determine n so that -4 - 9\/2*n**3 - 3*n**2 + z*n = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*z**3 + 641*z**2 - 346*z - 22 wrt z.\nAnswer: 54*z + 1282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346545 = 7309*k + 392*k for k.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 42737.6938827 and 10.3.\nAnswer: 42747.9938827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132030 (base 4) to base 13.\nAnswer: -b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17102 is divided by 168.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 124 = -2*t - 48, -2*l - 2*t = -180. What is the smallest common multiple of 10 and (-1)\/((28\/l)\/(-7))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -8. Suppose m - 42 = -d*m. Let z be 2\/(-21)*m\/6. Put 2\/11, -1, z in decreasing order.\nAnswer: 2\/11, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -261 + 14206253?\nAnswer: 14205662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 1:39 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*j = j + 29, -2*p - 2*j - 16 = 0. Let r = -2 + 20. Let y = r + -24. Sort y, p, 0 in increasing order.\nAnswer: y, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3637116 - -1837116. What is c rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**6\/20 + 2*z**5\/15 - 11*z**4\/24 + 2*z**3\/3 - 4*z**2 - 10. Is d(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(55*i - 24*i - 32*i - 22) to k + u*i and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15006404 or 90038423\/6?\nAnswer: 90038423\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 6. Let b be i(4). Suppose 3*a = 0, 3*c - c + 40 = -b*a. Let l = -10 - c. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a. Let f(i) = -4*i. Let c(t) = -8*f(t) + 5*l(t). Let m = -8 + 10. Let w(g) = g + 14*g**2 - 3*g**2 + 21*g**2 + 0*g**m. What is w(c(j))?\nAnswer: 128*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2910901226 to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*x - 1 + 11, -s - 5*x + 13 = 0. Suppose 0 = -3*c + 6*c - s. Let v be ((-96)\/15)\/((c + 1)\/(-10)). Solve -2*n + i - 1 = 0, 5*i + 7 = v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*x - 3090 = 4*x - 108*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 1:44 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46426, -46424, -46422, -46420, -46418?\nAnswer: -46416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/18 - (-90)\/(-15).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/2455, 59, 1, -2\/17 in increasing order.\nAnswer: -2\/17, 2\/2455, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/21)\/(1*(-20)\/195)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166 - 1331\/8. What is the third biggest value in m, -5, 34?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times 0.11?\nAnswer: 5.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/7128 and -19\/351?\nAnswer: 92664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -889 - 2?\nAnswer: -88b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 442 - 181 = 54*r + 211, -r = 6*h - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 959130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4214752335 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n - 66 = 28*n + 5*p, -82*p + p + 108 = 5*n for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 14*u**2 + 13*u + 9. Let p be t(-13). Let n be 1*(p\/(-27) + 44\/6). Suppose 0 = -4*w + n*w - 60. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**10\/1008 - b**6\/72 + b**3 + 4. Let x(z) be the third derivative of n(z). Find the third derivative of x(h) wrt h.\nAnswer: 600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -2972 - 728. What are the prime factors of u?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = 40 - 112. Let i be (j\/(-18))\/(8\/(-6))*2. Let u(y) = 5*y**2 - 2*y + 1. Give u(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272\/(-352)*2398\/20383?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 28, 42, 54, 64, 72?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*t - 7, 0*h + 1 = -t + h. Let j(d) = d + 6*d - d - 4*d + 4. Let n(o) = -o**2 - 5*o - 9. Calculate t*n(m) + 5*j(m).\nAnswer: -2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 2*z**3\/15 - z**2 - 6. Let p(g) = 0. Calculate g.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1124635782?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000123797119 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4717 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.102 - 0.102. Suppose 0 = -4*k - k + r - 54, -k - 8 = -3*r. Let w be 2\/(-2)*(5 + -1). What is the smallest value in k, i, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 3. Suppose -67 + 47 = 4*h. Let k(a) = a + 1. Calculate h*m(w) - 12*k(w).\nAnswer: 3*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 5*l**2 - 9*l + 2. What is the tens digit of b(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62710646 divided by 178\nAnswer: -352307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, -6508, 1, 5, 0 in descending order.\nAnswer: 12, 5, 4, 1, 0, -6508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 5. Let j = 11 + u. Let w(o) = o**3 - 5*o**2 + o + 1. List the prime factors of w(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**16\/b)\/(b*b**(1\/10))*(b**(2\/19))**(3\/7) assuming b is positive.\nAnswer: b**(18547\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6717891.\nAnswer: 3, 41, 54617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 267*r**3 + 14*r**2 + 18*r - 50. Let y be o(12). Suppose y = -8*v - 429898. Let t = 7817611\/70 + v. Find the common denominator of t and 107\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(2) + sqrt(2)*1) + sqrt(156)\/sqrt(3)*-2)\/(sqrt(64)*3*-5 + sqrt(64) - sqrt(64) - sqrt(64)).\nAnswer: 3*sqrt(13)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.0597 (c) 0.14191\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -9 (c) 3\/4 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 226, 241, 272, 325?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 50*z**3\/13 + 165776090*z**2\/13 + 132620848*z\/13 + 26524168\/13 = 0.\nAnswer: -3315521, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 190173.64 and 0.447.\nAnswer: 190174.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 34*d**2 - 62*d - 62. Let p be n(32). Let u = 211 + -93. Suppose 0*l + p*l + u = 3*o, 2*l + 160 = 4*o. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3*(-972)\/567)\/(3*6)\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 6 - 3)*(4 - 3 + 1) + 81 + 45 - 7)*(q**2 - q**2 + 2*q**2) as x*q + z + f*q**2 and give f.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 38*m**3 - 53*m**3 + m**2.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2 = -1. Which is the third smallest value? (a) 2\/5 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277013245 a multiple of 3143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h + 5 = -5*b, -5*h = -2*b - 19. Let k(u) = h*u**2 - 4 - 2*u**2 - 2*u**2 + 0*u**2. Calculate k(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 342 divide 4771926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + -21 - -2) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 42 = -3*g. Let w be (g - 9)\/(3\/(-4)). Suppose w*b - 5*x - 14563 = 0, b + 3*x - 3622 = 8*x. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 463, 772, 1133, 1546, 2011?\nAnswer: 2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4692382949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5202316 (base 8) to base 6\nAnswer: -45305130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b - 25. Suppose b*u - 116 = -26. Suppose 2*h = 106 - u. What is the highest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (-36)\/18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(105) - sqrt(105))\/sqrt(7))\/sqrt(3) + -5 + -3)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216, 404, 586, 756, 908, 1036, 1134, 1196?\nAnswer: 1216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 35*u + 129. Let p be b(-31). Suppose 0 = -5*w + 4*z + 59, 5*z + 69 = p*w + 14. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - 4*c + 9*c**2 + 3*c + 3*c to the form q*c + y + u*c**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-4)*a)*a*a*a**(1\/4)*a*a)**(-2\/47) assuming a is positive.\nAnswer: a**(-33\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 926377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*x + 59*x + 184*x - 1328 = -26*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32949 + -19208. Is f a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.5 + 3. Let x = -1 - t. What is the closest to 1 in 1\/4, -5, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 2:18 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((-1*-1*sqrt(176))**2 - sqrt(176) - sqrt(176)) + -2 - (-3 + sqrt(176) + -1)*-1).\nAnswer: -680 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 459, 2, -3, -2 in descending order.\nAnswer: 459, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2 + 2*z. Let o(g) = -g**3 + 7*g**2 + 2. Let t = -9 - -6. Let k be 0 + t - -10 - 0. Let v be o(k). Let x(n) = n**2 - n. Give v*x(a) + p(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121858340 or 121858344?\nAnswer: 121858340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfft when four letters picked without replacement from xftxxxfxxxxxxxxfxxxx.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 26) + (0 + 1 - -2) - -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4009 is divided by 955.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**4\/24 + w**3\/6 + w**2. Let a be (28\/(-35))\/((-1)\/5). Suppose -a*j - 1 = 15. Determine i(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 900 divided by 3\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-24 + 26)) + 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine sixths of a century?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045146308 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 89*h**2 - 81*h + 2329. Let o(d) = 31*d**2 - 28*d + 777. Let j(r) = -11*o(r) + 4*x(r). Differentiate j(s) with respect to s.\nAnswer: 30*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5806 is divided by 1887?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10782130*s**2 - 4343647*s wrt s.\nAnswer: 21564260","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/17 - 1\/34. Put c, -6, 1, 5 in descending order.\nAnswer: 5, 1, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 12:43 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8\/4703 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 - 20?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(4\/22) + (-465)\/((-567765)\/13596).\nAnswer: 5\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 + 0*a**3 + 3*a**3 + (2 + a - 2)*(-a**2 - 4*a**2 + 3*a**2) + 2 - 23*a**3 + 25*a**3 - 3 to v + p*a**2 + o*a**3 + m*a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 2:53 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237.99576 months to millennia.\nAnswer: 0.01983298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*n**3 - 286*n**3 + 17*n**3 - 63*n**3.\nAnswer: -290*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 330197 and 18361.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -w - 4, 459*w = h + 464*w + 20. Which is the third biggest value? (a) -3 (b) -1487 (c) h (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -5, 49, 0.2, -14, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 25. Let v be k(-10). Let r be 4\/6 - (270000050\/v + 4). Round r to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 at most 1.0701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21 + 3*u**2 + 913*u**4 - 6050*u - 21*u**2 + 6050*u + 4048*u**4 wrt u?\nAnswer: 119064*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-231)\/(-396)*(-45)\/(-35).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, x: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 3*l - 4*s, 4*l + 4*s - 17 = s. Is 4\/14 + (49968\/42)\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 2*c + 5*x, -6 = -0*x + 3*x. Let s be c\/2*(-1 + 3). Let y = s - 16. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*f + 5925 = 292*f - 42*f for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-10) - 6\/10. Let q(z) = -2*z - 2. Let s be q(b). Suppose s = 4*k - 12. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -9?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1613.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 3*z - 2*z)*(z + 0*z - 5*z) - 5*z**2 - 4*z**2 + z**2 to h + k*z + x*z**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 1571 (c) -2\/7 (d) 4\/7 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -4. Let l be (-4)\/(-2) - (-2 - o). Solve -4*j + l*p - 6 = 0, -4*j + 2*p = 7 + 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1813 (base 9) to base 11.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7 + 3 = 5*r, -5*b + 5*r = -60. Let g be (2\/b)\/((-66)\/(-77)). What is the nearest to 2\/5 in g, 0.5, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1654329 years to decades.\nAnswer: 0.01654329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36900082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 1, -1, -3796, -4, -3 in descending order.\nAnswer: 44, 1, -1, -3, -4, -3796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 57. Let a = 25 - n. What is the closest to a in 0.4, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3 - -3)*1 - 41)\/(-1). What is the second derivative of -b**3 + 10*b - 5*b**3 - p*b wrt b?\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -115*r - r**3 + 0*r**3 + 118*r + 7*r**2 - 15. What is the lowest common multiple of 9 and x(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244 a factor of 97048074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39044 - 202582 - 28074 = -20*s. Calculate the greatest common factor of 31 and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -4, 23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f - 22*f - 65*f**2 - 3 + 5 + 10*f.\nAnswer: -65*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -522, -1042, -1554, -2052, -2530, -2982, -3402?\nAnswer: -3784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.7, -290, 0, 0.37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, f: 1, y: 1, z: 3, a: 3, o: 2}. Give prob of picking 1 g and 1 f.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70 or -27\/2?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 8*j**2 - 6*j - 7. Let r be k(7). Suppose r = -5*x + 145 + 290. Let w = -52 + x. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-13) + (-12)\/(-1872)*2004.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154045657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12156566798 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**4\/12 + 3*m**3\/2 + 19*m**2\/2 + 2*m. Let g be h(-6). Solve b - g = -2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 9:01 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*s - 19*s - 5730. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) 5 (c) 2 (d) 10 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three tenths of a minute?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.463*-2\nAnswer: -4.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-7 - -9 - 4). Suppose 0 = -u*n - 2*b + 4*b + 10, 25 = 5*n - 4*b. Solve 3*p - 8 = -6*k + k, p - n = -4*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 482.1 - 471.2. Let h = -10.71152 + -0.12648. Let c = h + p. Round c to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.34834ml in litres?\nAnswer: 0.04634834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c6 (base 13) to base 15.\nAnswer: 2e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 - -82. Let d be (18 - (-2 - o)) + 1. What is the third smallest value in d, 0.4, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402297845.\nAnswer: 5, 80459569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0*l**5 + l**5 - 4)*(2 + 0 - 1).\nAnswer: l**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.838003 to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -27*q - 1. Let p be x(-1). Let r = p - 18. What is the lowest common multiple of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 1\/2*g**2 + 0*g**4 - 45*g + 0*g**5 + 0*g**3 + 103\/6*g**6 - 37. What is the second derivative of z(i) wrt i?\nAnswer: 2060*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-1 + sqrt(252))*-4*5*-3)**2.\nAnswer: -43200*sqrt(7) + 910801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -5*x**6\/24 + 3*x**5\/10 + 9*x**4\/16 - x**3\/6 + 130. What is r in y(r) = 0?\nAnswer: -1, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 440025?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*v**2 - 5 + 4 + 1.\nAnswer: 210*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194531 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76380*-2.\nAnswer: 152760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x + 3. Let i(u) = -7*u - 6. Calculate -9*c(y) - 4*i(y).\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k + 90. Let b be q(-30). Differentiate -62*w**2 + 2*w**2 - 208*w**2 + 262 + b*w**2 wrt w.\nAnswer: -536*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**3\/3 + 2*k**2 - 3. Let j be m(-4). Suppose 3*r = -j*r + 18. Solve 0 = 2*i + r, -v - 2*i = -2*v + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33, -35, -37, -39, -41?\n\"Answer: -2*p - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/221 or 0.084?\nAnswer: -6\/221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 159*m + 2 = 160*m, 0 = -n + m - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 514032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**5 - 2*q**4 - 241087*q**3 + 714097*q?\nAnswer: -20*q**3 - 24*q**2 - 1446522*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1419*q - 5821 + 5821)*(0 + 4 - 6)*(-4*q**2 + 3*q**2 + 3*q**2).\nAnswer: 5676*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11 (b) 2 (c) -3\/1553 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -14*j**4 + 102*j**2 - 5*j - 121. Let x(l) = 35*l**4 - 255*l**2 + 12*l + 302. Let o(m) = -12*k(m) - 5*x(m). What is the derivative of o(c) wrt c?\nAnswer: -28*c**3 + 102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(11\/((-297)\/(-81)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from bhhhgdhghhhd?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*h + 17568*b**3 - 146*b*h + 2*b - 14*h wrt b.\nAnswer: -12*b*h + 105408*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17568\/11 or 1598?\nAnswer: 1598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2766? (a) 6 (b) -3 (c) 1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**3 - c**2 - 5*c - 105. Let u(x) = 0*x + 1 + x + 0. Let o(j) = q(j) + 3*u(j). Let o(w) = 0. What is w?\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 1.4. Let p = 3.3 - g. Suppose 0 = -2*s - 2*s. Which is the third smallest value? (a) p (b) 1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122 + 122.5. Let k = 0.055 - -0.945. What is the third biggest value in k, 18, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -28.9525. Let x = -0.045 - i. What is x rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -6\/7 (c) -6\/11 (d) -5 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1020761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2. Let s(m) be the second derivative of -m**6\/60 + 2*m**3\/3 + 5*m. Let k(a) be the second derivative of s(a). Give k(q(p)).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 4*c + 14. Let j be s(6). Suppose 0 = -3*t + j*t - 11. Let h(d) = -4*d + 2. Let b(z) = -2*z + 1. Calculate t*b(p) + 6*h(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ea when two letters picked without replacement from eaeefaea.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11937.\nAnswer: 3, 23, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -40*u. Let i(b) be the third derivative of 0*b + 0*b**3 + 8*b**2 + 0 - 7\/24*b**4. Determine i(v(n)).\nAnswer: 280*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -13. Let l = r + -5.03. Round l to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 560 = 503 + 399 for v.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.2 (c) -1\/8 (d) -0.764\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 1:59 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 56*z**2 + 12*z - 633. What are the prime factors of l(-45)?\nAnswer: 2, 3, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174 + 8 + 215*p - 214*p.\nAnswer: p + 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -10*h - 84. Which is smaller: -5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = 5*k - 4*k, k + f = 11. Suppose 5*b + k + 0 = -4*x, 2*b + 4*x = -12. Solve 0 = -2*r - 8, -4 = b*h - 0*h + 2*r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.815 - -0.085. Let t = 12 - g. Let q = t - 0.7. What is the smallest value in 2\/11, q, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 20*t + 54. Let f be u(18). Suppose -29*h - f*h = -23359. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -9)\/(-11 - -10). Suppose -3*v - 4*g = -d*g - 1, -v + 5*g = -5. Which is the closest to v? (a) -0.5 (b) -0.2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128) + sqrt(128)*-1))*-1)**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-316)\/(-10) - (-36)\/90 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**4 - 87788*o**3 + o**2 - 58806*o + 2.\nAnswer: -24*o - 526728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2. Let x(t) = 299 + 83*t + 298 - 597. Give x(q(c)).\nAnswer: -83*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -66, 3 in decreasing order.\nAnswer: 3, -4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - u**2)*(-49*u + 24*u + 24 + 24*u).\nAnswer: u**3 - 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -54. Let s = 43 - 31.2. Let z = 12 - s. Which is the third biggest value? (a) 8 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 7*c + 5*c + 20186, 4*u - 4*c - 40412 = 0. Suppose -21*i + 4*i + u = 0. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(2) - (sqrt(18) + 4)))**2*-1*1.\nAnswer: -44 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -7) + -5 + -12 + 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1502126?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 805977 to the power of 1\/2, to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1030*l + 9. Let j(c) = 1028*c + 11. Let t(p) = -3*j(p) + 4*z(p). What is the units digit of t(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-12) + 2\/(1*-2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105586 is divided by 318?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 6)*(-2*a + 5*a + 0*a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3037512 + 1?\nAnswer: -3037511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 190*s**2 - 189*s**2 + 2 + 2 - 4*s. What is h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 426 - 451 - 308*h + 280 + 445 - 3*h**3 + 324 wrt h.\nAnswer: -9*h**2 - 308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 2*m**2 + 13*m + 10. Let z be o(5). Suppose z = 6*c - 3861 + 357. List the prime factors of c.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 0)*(-9*s**2 + 7*s**2 - 14*s**2) + 2*s + s + 2*s**2 - 3*s**2 in the form v*s + q + c*s**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6073 + 2905 = 2*q - 4*t, 4*t + 4 = 0. Calculate the remainder when q is divided by 136.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cddccddccmdccccdc.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26089885*d**2*u + 2*d**2 - 325*d - 140 wrt u.\nAnswer: 26089885*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, b: 1, g: 4, x: 1, v: 1}. Give prob of picking 1 b and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**20\/j)\/j*j*j\/(j*j**(-11)))\/((j*j*j**(-24))\/(j*((j\/((j\/j**(1\/7))\/j*j))\/j)\/j*j)) assuming j is positive.\nAnswer: j**(365\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*l = -1545 - 3820 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1141 + 1178. Calculate the remainder when 94 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*r + 24 = 95*r + 2 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52071709777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**2*y**2 - 395*n**2 - 26*n*y**2 - n*y + 13*n - 189*y**2 + 1 wrt y.\nAnswer: -4*n**2 - 52*n - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3\/4 (c) -1 (d) 0.07 (e) 5 (f) 8 (g) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3393 + 27*v**3 + 3393)*(2*v**2 + 0*v**2 - 4*v**2) + 2*v**2 - 2*v**2 - v**5.\nAnswer: -55*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**5\/420 - o**4\/28 - 3*o**3\/14 - 10*o**2. Suppose d(m) = 0. What is m?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15807 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: Let y(g) = -8*g**2 - 10*g + 4. Let d(i) = 9*i**2 + 11*i - 5. Determine -5*d(n) - 6*y(n).\nAnswer: 3*n**2 + 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 7*i**2 + 7*i + 10. What is w(-7)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 4:28 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**4\/12 + 3*g**2\/2 - 5. Let i(z) be the second derivative of t(z). Let c(h) = -4*h. Give i(c(j)).\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 1 p when three letters picked without replacement from bbbnnppnbwbnnpnbp?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(300)*3 + 0).\nAnswer: -150*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -520918 by 1439.\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833510 rounded to the nearest 10000?\nAnswer: 1830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 9*o**4\/4 + 2*o**3\/3 - o**2 + o + 2. What is the tens digit of i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k + 3*k + 4 - 3. Calculate a(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -199*x + 1. Let t(s) = -5*s**2. Determine t(b(i)).\nAnswer: -198005*i**2 + 1990*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (114\/(-8))\/(2\/(-8)). Let h be (-1)\/(-4) + r\/(-4). What are the prime factors of h\/4*(-2 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 m when three letters picked without replacement from mwllwmmlismmllmwl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16012 - 1268 = 8*t. Let a = -409 - t. What are the prime factors of a?\nAnswer: 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 160 = -2*o + 7*o, o = a + 32. What is the greatest common divisor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13780031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 9:04 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.94 - -0.06. Let x = o + -28. Put 5, x, -4 in ascending order.\nAnswer: -4, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4\/7 + 2*v**2\/7.\nAnswer: -2*v**2*(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28371 and 5211.\nAnswer: 255339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-22)\/(r*(r*r**(-12))\/r))\/(r**(-15\/4)\/(((r*r*r*r\/r**(3\/11)*r)\/r)\/r*r)) assuming r is positive.\nAnswer: r**(-155\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11517905?\nAnswer: 5, 7, 329083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1444 - -3221. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/157 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -79542 (base 11) in base 16?\nAnswer: -1c1ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d + 11. Let z be c(5). Let w = -5 - z. Solve 2 = -3*x - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(108)\/(-1*-1*sqrt(3) + sqrt(3)))\/(-3*sqrt(72)\/(-2*sqrt(6))))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4075248 + 4075248 - 12*v**2.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, -23, -73, -165, -311?\n\"Answer: -2*k**3 - 3*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*a - 31 = -102, 385 = 5*w - 5*a. Let n(f) = -f**2 - 11*f - 8. Let y be n(-7). What is the highest common divisor of w and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 8:48 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -10*c + 15. Let f be a(-1). Let m(j) = -63*j + 33*j + f*j. Let p(v) = 12*v**2. Calculate p(m(w)).\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 8*q**2 - 11*q + 8. Let t(h) = 20*h**2 - 28*h + 20. Let m(y) = 12*s(y) - 5*t(y). Determine r so that m(r) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -310*z**4 - 457246*z**3 + 4141728*z**2 - 6777512*z + 2077600 = 0?\nAnswer: -1484, 2\/5, 50\/31, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 609988859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.705 - 528.92.\nAnswer: -527.215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38637223 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*d - 586 + 586)*(-4*d**3 + 3*d**3 + 3*d**3) + (-3*d + 0*d + d)*(-2*d**3 + 2*d**3 + 2*d**3) in the form a + f*d + z*d**3 + u*d**4 + p*d**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 - -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 17 = -4*c + b, 0 = 4*c + 4*b. Let d be c - (-2 + 4 - 3)*7. Is (273\/12)\/(d\/16) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -33*s**5\/5 - 12*s**4 + 23*s**3 + 24*s**2 - 36*s + 116. Let c(l) = 0. Calculate l.\nAnswer: -2, -1, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 8*q**2 - q - 11. Let f be o(-5). Suppose 0*k + f = 4*k. Suppose -h + 64 = k. What are the prime factors of h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -94. Suppose s = -20 - 16. Is s*3\/(w\/(-6)) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, 1.4, -0.1, -2?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -25870\/467 >= -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 3, 5 in descending order.\nAnswer: 5, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-105) + 2\/5. Let p(g) = 18*g - 345. Let u be p(19). Which is the nearest to j? (a) u (b) -4\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 102172004\/(-56) + 102\/1428. What is r rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 557, 562, 569, 578, 589?\n\"Answer: p**2 + 2*p + 554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 + -22121?\nAnswer: -22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, -4, 5\/17, -5, 1\/10?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(171)*3 - sqrt(171)) + sqrt(171)*-3 + 3)**2 - ((sqrt(76) - -3*sqrt(76))*-4)\/(sqrt(44)\/(sqrt(11)*1)).\nAnswer: 178*sqrt(19) + 13860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/378)\/1*(-3927)\/(-385).\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -402, -404, -406?\n\"Answer: -2*u - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1310\/16433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 387753, 775625, 1163499, 1551375, 1939253?\n\"Answer: t**2 + 387869*t - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 613\/30 + -581827\/28470. Let y = q - -161339\/2847. Let r = 57 - y. What is the closest to 0.3 in 2\/7, 3\/4, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - 2*h**2 + h**2 - 9 + 2*h**2. Let u(t) = -t**2 + 2*t + 11. Let g be u(5). Let r be b(g). Let i(l) = -l - 1. What is i(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -4*n - 93 + 156, -2*n = -34 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 254668912 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 405360 (base 7) to base 8\nAnswer: 207014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r - 19. Let m be u(12). Suppose m*s = -10, 2*b - 2714 = -0*b - 4*s. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 167 = 17. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, -114, -483, -1200, -2379, -4134?\n\"Answer: -19*a**3 - 3*a**2 + 7*a + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13227487 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*c + 46. Calculate the remainder when 45 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q - 3. Let i be t(5). Let u = 24 - i. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -18. Let c be (-1)\/(-2) - (-2)\/(-4). Suppose 0*t = 5*t + 10. Put c, l, t in ascending order.\nAnswer: l, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(612 - 612 + 7*x) + 0*x + 0*x + x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*p**4 + 8*p**3 + 276*p**2 - 8*p = 0. What is p?\nAnswer: -1, 0, 2\/69, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - a**3 + 3*a**3)*(0*a + 0*a + 2*a) + 7*a**4 - 1 - 4*a**2 - 6*a**4 + 0.\nAnswer: -a**4 - 4*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 1\/120*y**6 - y**2 + 0*y + 0 + 0*y**3 - 1\/60*y**5 + 0*y**4. Find the third derivative of h(k) wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 2, -0.03, -5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 8:30 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343083879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and -9515.45.\nAnswer: -9515.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 0*o**3 + 0*o + 9\/20*o**4 - 6\/5*o**2 - 30 + 3\/25*o**5. Factor m(c).\nAnswer: 3*c*(c - 1)*(c + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvbcbcbvvvbbvvcc. Give prob of picking 1 v and 1 c.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133\/9 - 15. Suppose -3*h = 2*x + 25, -4*h + 3*h + 10 = -3*x. Which is the smallest value? (a) s (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -8. Let d = -3744 + 1539. Let m be d\/(-20) - 1\/4. Calculate the greatest common divisor of m and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 127615.\nAnswer: 893305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 12*k**2 + 13*k + 10. Suppose 0 = 4*i + 2*l + 48, -3*l = -5*i - 32 - 17. Let f be t(i). Let p = -15 - f. Which is bigger: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 254 - 352. Let g = n - -113. Calculate the highest common divisor of g and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4964 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -284135 or -284127?\nAnswer: -284127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6252 and -0.4.\nAnswer: 2500.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 37 = 4*r, r - d + 12 = -4*d. Suppose 2*o = o + f - 1, -r*o - f = -9. What is the second derivative of 4*t - 3*t + t**2 - 6*t**2 + o*t**2 wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200380 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260709?\nAnswer: 3, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 329984.9 and -0.4.\nAnswer: -131993.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -4, -3, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.368 - -0.168. Sort -2, -0.1, 5, c in decreasing order.\nAnswer: 5, -0.1, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 minus -1546089?\nAnswer: 1546075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9703.\nAnswer: 31, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3146466 divided by 2.\nAnswer: 1573233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(-2\/5)))**(-3\/17)\/((m*m**(2\/15))\/((((m*m**(-1))\/m)\/m)\/m)))**(-9))**39 assuming m is positive.\nAnswer: m**(121212\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1.12, -2\/17, 2\/157, 2.3, -0.4?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -426 + 876. Suppose -g = -3*m + 6*m. What is m rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(2*sqrt(11)) + -4*(sqrt(85)\/sqrt(5))**2.\nAnswer: -68 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 1. Suppose -b + 2*b = l. Suppose -u - 2 = 0, 0*v + 3*u = -b*v - 22. Is v != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.720609 - 0.59860959. Let p = -0.122 + m. Round p to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*o + 16. Let u(q) = -q**2 + 1 - 517*q - o*q**3 + 517*q. Calculate the lowest common multiple of u(-1) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g = 23*g + 22. What is the least common multiple of 12 and g?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3\/3 - 248*i**2\/3 - 2180*i\/3 - 5200\/3.\nAnswer: -4*(i + 5)**2*(i + 52)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92576 and 1315.\nAnswer: 462880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-69)\/161 - (-1 - 1844\/7). Let u = s - 289. Sort 2, u, 3\/7 in decreasing order.\nAnswer: 2, 3\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703498749.\nAnswer: 3, 234499583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4055004 weeks to microseconds.\nAnswer: 245246641920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 172464.\nAnswer: 6036240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 27*m**2 - 11*m + 426. Let j be a(-26). Solve -j*d + 3 = -37*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008067991 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1049 is divided by 105.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 218 divided by -12\nAnswer: -109\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -273388 + 364426222\/1333. What is the common denominator of k and -63\/430?\nAnswer: 13330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*w + 7 - 4, b = 0. Let s = -113\/5 + 111\/5. Which is smaller: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m + 128. What is h(19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*d - 51 = 3*d, 2*w = 3*d + 67. Let m = -24 + w. Suppose 0 = -2*z + z + g + 133, -2*g + 258 = m*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o**2. Let a(j) = -10*j + 144. Let v be a(14). Let l(z) = 158*z - 180*z + v - 4. Give l(i(c)).\nAnswer: -176*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11324 - -2?\nAnswer: -11322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/((-12544)\/480)*(-64)\/(-400).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-34)\/(-24) + (-20)\/(-16))\/4. What is the nearest to 1\/3 in 1, -1\/10, -0.06, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 24. Suppose b = -5*n, -35 = -4*j + n - 0. Solve -2*y + 8 = 5*d, -5*d = 2*y - 4*y + j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 14*u**3 - u**2 + 1. Let k be p(-1). Let s = 0 - k. Is 6\/21 + 2082\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**4 - 515*a**3 - 2450*a**2 = 0. Calculate a.\nAnswer: -98, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -4. Let x(u) = -u**3 - 2*u**2 - u + 2. Let d be x(-2). Suppose -t + 0 = -2*h + d, -3*h + 3*t = -6. Solve -a = -w - h*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43, 185, 421, 751, 1175?\n\"Answer: 47*f**2 + f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -0*b + 3*b, 5*b + 4 = 4*a. Let p = 3 + b. Suppose 5*m - m = -p*r + 26, 3*r = -3*m + 27. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -106*1\/((-10)\/35). Suppose -5*a = -i - 461, 0 = -a - 3*a + 3*i + j. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, -0.5, -0.2, 0.6, -0.0826?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(539) - (1 + sqrt(539) + 2 - sqrt(539)))**2*-3.\nAnswer: -1725 + 252*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -w**6 + 76604*w**3 - 12801*w**2 - w - 5.\nAnswer: -120*w**3 + 459624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 2643*f**2 + 3164*f**2 + 2882*f**2 + 59.\nAnswer: 8689*f**2 + 119","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sntntensneetetns. What is prob of picking 1 e, 2 t, and 1 n?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + (sqrt(300) - (sqrt(300) + 2)) + 5 + (-1*sqrt(300) + sqrt(300))*4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-10))\/((-2)\/(-16)). Suppose h - 2*h = -5*y - 1, -5*h = d*y - 34. Suppose 0 = -z - 5*b - 7, h = -4*b + b. Which is bigger: z or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -9. Let a(l) = l + 1. Let k(g) = 6*a(g) + x(g). Let q be k(2). Let n be (2\/4)\/(1\/72). What is the highest common divisor of n and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1315219747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8168?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/k**(-4))*k*k**1)**(-10\/7) assuming k is positive.\nAnswer: k**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10.17288 (b) 3 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77.4 + -77. What is the nearest to -0.054 in 4, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 545, 4905, 16671, 39551, 77253, 133485, 211955?\n\"Answer: 618*x**3 - 5*x**2 + 49*x - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4685 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -8993.266 to the nearest 10.\nAnswer: -8990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - d - 1664 = 0. Let k be ((-8)\/(-6))\/(d\/192). Suppose 5*z - 25 = -2*r, -3*z = 2*r - 14 - 1. Solve r = -a - k*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g - 5. Let c(j) = 5*j + 6. Let o(m) = -19*m - 25. Let u = 8 + -19. Let b = -13 - u. Let f(r) = b*o(r) - 9*c(r). Give 5*f(v) - 4*s(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*5\/(-6)*(-17)\/(-170).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 4, 2\/9, 13, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = -8. Let h be (3*(-2)\/(-18))\/j. Which is the second biggest value? (a) -0.1 (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {r: 1, h: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(3\/28)\/i)*i*i**(1\/4))\/((i\/(i\/(i**(1\/10)*i)))\/i**(-17)) assuming i is positive.\nAnswer: i**(-1047\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*h - 19, -2*h = -4*x + h + 40. Suppose -d + x = 2. Suppose d*r - 8 - 7 = 0. Solve 0 = -c + r*w - 7, 0 + 4 = 4*w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**5\/11 + 1030*j**4\/11 + 14856*j**3\/11 - 71848*j**2\/11 + 76000*j\/11 = 0.\nAnswer: -500, -19, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28996 or 29000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010110100101 - 11001000?\nAnswer: -10011001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7120000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467 is divided by 94?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5649*l - 5646*l + 16913*l + 1581 = 5635*l for l.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**5\/20 - 23*o**4\/12 + 14*o**3\/3 + 27*o**2\/2 - 4*o - 2. Is a(-28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145891706.\nAnswer: 2, 72945853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-1*sqrt(72))\/sqrt(4) + (sqrt(144)*-2 - sqrt(144))\/sqrt(8))\/((sqrt(6) + sqrt(24)\/sqrt(4))*4 + sqrt(6) + 1*sqrt(24))*-3)**2.\nAnswer: 3888\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 + -32244401?\nAnswer: -32244433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2902637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12250783 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*p + 17*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = -19*j - 112. Let l(s) = 135*s**2 + 44*s - 11. Is l(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1246975*c**2 + 1134082*c**2 - 3.\nAnswer: 2381057*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 32*i - 265. Give d(12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -3 (c) -583\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a century in months?\nAnswer: 15360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31386, 62616, 93696, 124626, 155406, 186036?\n\"Answer: -75*t**2 + 31455*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Let p(u) = 10*u**2 + 18*u. Let b be 30\/(-4) + 3\/2. Let g(l) = b*z(l) + p(l). Find the second derivative of g(j) wrt j.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -194*m**2 + 28*m**2 - 99*m**2 + (-3*m + m - m)*(2*m + 2*m - 3*m) as x*m + n + v*m**2 and give v.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69 and -0.1129.\nAnswer: -7.7901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -93*q**2. Let i(y) = 6*y**2 + 35*y - 5. Let u(t) = -35*t**2 - 196*t + 28. Let w(b) = 28*i(b) + 5*u(b). Calculate w(s(c)).\nAnswer: -60543*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 985 + -572. Suppose v + 5499 = -g + 3*x, 5*x - 5920 = g. Round g to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**3 + 0*k**3 - 138*k - 16 + 4*k**2 + 3*k**3 + 143*k to the form t*k**2 + p + s*k**3 + q*k and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 27 - (-15 + 3)) + 1 + 3 + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.389341mm in nanometers?\nAnswer: 3389341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 - 19. Suppose 7*d - 22 - v = 0. What is the least common multiple of d and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 51. Let w = -31 + g. Solve -3*v - 2 = -w*c + 1, 3*c = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 9 = -j, 0*p = -2*j - 4*p + 12. Suppose -8 = 2*v - 2*o, -v + 4 = o - 0. Suppose v*k + 2*k + n - 11 = 0, -4*k = 4*n - 28. Solve k + j = -5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01477192191 to 5 dps.\nAnswer: -0.01477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l - 2. Let b be u(6). Let y be 4\/5*b\/(-8). Are y and 2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 8*q - 8. Let p be z(6). Suppose -139 = p*o + 65. What is the tens digit of (0 + -3)*272\/o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 474 = -14. Let l = b - -125. Calculate the remainder when l\/7 + 4\/(-14) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1110 divided by 5.\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1 = 3*l, -4*l + u = 4*u - 6. Let b(i) = -i**2 - 12*i + 9. Let w = -21 - -9. Let c be b(w). Solve -x = 2*t - c, 2*t + 5*x - 35 = -l*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/45*(-36)\/(-390).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19860 and 385206215?\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35, 71, 111, 155, 203, 255, 311?\n\"Answer: 2*h**2 + 30*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 7*o + 3. Let b be i(8). Let s be 1\/((-2)\/(1 + b)). Let u = 1 + s. Sort u, -1, 1 in ascending order.\nAnswer: u, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-38)\/(-84))\/(9 - 1 - (-7535)\/(-959))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3203.232 rounded to the nearest ten?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/454519, -1\/3 in increasing order.\nAnswer: -4, -1\/3, 1\/454519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 j when three letters picked without replacement from {l: 8, i: 1, s: 1, j: 2, v: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-101970)\/(-8343))\/(220\/150).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3322.526 rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72*x + 94*x**3 + x**2 + 1008*x**3 + 1655 + 72*x wrt x.\nAnswer: 3306*x**2 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -5 (b) -4 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 3*z**3\/2 - 73*z**2\/2 + 25*z. Is g(17) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 115, -3, -1, 4 in ascending order.\nAnswer: -3, -1, 0, 4, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q - 9. Let p(b) = -5*b + 9. Let g(v) = -7*f(v) - 6*p(v). Let m(c) = -2*c - 17 + 4 - c. Give 7*g(t) + 5*m(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*o - 6 + 3 = 0, -5*y = 2*o + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/120)\/(6\/20)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -31*t - 146. What is w(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u + 2*s - 31, 2*u - 3*s + 2715 - 2727 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Let g be 2 + 4\/(-1 + 2). Calculate the greatest common divisor of g and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.546 + 22.454. Which is the nearest to -1? (a) -0.4 (b) 3\/8 (c) v (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/16*(-101)\/5 and -87\/182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 433901950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12012002 (base 3) to base 10\nAnswer: 3782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 88, 93, 98, 103, 108, 113?\n\"Answer: 5*s + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frr when three letters picked without replacement from vvrrrfv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3056 divided by -4872\nAnswer: -382\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 + 4 = 0. Suppose n = -5*a + 2*a + 2, 3*a + 10 = s*n. What is the lowest common multiple of 20 - a*(-1)\/(-2) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64158\/29 or -2213?\nAnswer: -2213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -238.5 rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 356*s + 1344*s + 5 - 3.\nAnswer: 988*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 104323351?\nAnswer: -104323358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.160228ng?\nAnswer: 0.000000160228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*s + 5*s + 8*s to z + o*s and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 21*c**3 + 2*c + 1 - 14*c**3 - c**2 to the form r*c**2 + h*c + k*c**3 + g and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 51048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 24*u - 20. Suppose 3*k - 3*i - 27 - 9 = 0, k + 3 = -4*i. Let v be s(k). What is the highest common factor of v and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 3*i + 7. Let y be d(8). Let h = y + 209. Is h a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5\/4 - 16962*p**4 - 6943905*p**3\/4 - 88634277*p**2\/2 = 0 for p.\nAnswer: -51, 0, 22718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.23 + -1.044. Let v = 0.00963 + -0.02363. Let i = v - q. What is the closest to 2 in -4, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 3*g + 13)*(0*g - 5*g + 3*g) + 0*g**2 + 41 - 2*g**2 - 51.\nAnswer: -8*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 2486?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 6.4. Let r = 0.6 - j. Let x be (-8)\/(-36) - 10\/18. What is the second smallest value in r, x, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 0 = -25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a decade in months?\nAnswer: 1536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 smaller than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k - 35. Let a be c(4). Let l = -6 - a. Let n be ((-40)\/(-12))\/(l + 57\/18). Calculate the highest common factor of n and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.73? (a) -5 (b) 3 (c) 3\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-16))\/(2\/16). Suppose -3*u - 31 = 3*f - u, 0 = -j*f - u - 33. Let o be 141\/(-470) + (-362)\/60. Which is smaller: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31524 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.042 greater than or equal to 139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 9*h**2 + 7*h - 8. Let x = -24 - 7. Let k = x - -24. What is the units digit of t(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -285*k**2 + 15*k - 30. Let i(h) = 95*h**2 - 5*h + 10. Let x(d) = -7*i(d) - 2*s(d). Let z be x(-5). What is z rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 5, j: 1, n: 2, w: 1}. Give prob of sequence xj.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from xyzsj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x**3 - 4*x**2 - 3*x. Let f(l) = 12*l**3 - 5*l**2 - 4*l. Let b(y) = -3*f(y) + 4*j(y). Find the third derivative of b(c) wrt c.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -1\/20*n**5 + 0 - 200*n**2 + 0*n + 0*n**3 + 1\/24*n**4. Let t be ((-4)\/10)\/((-2)\/10). What is g(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 69879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694*w**2 - 699*w**2 + 3438*w**2 - 660*w**2 - 693*w**2 - 695*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (22 - (-4 + 10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5 - y - 1 - 6 + 4. Let q be i(-9). Sort q, -4, -3 in increasing order.\nAnswer: -4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -15*w - 46. Let q(g) = -7*g - 23. Let c(v) = 108*v - 4739. Let s be c(44). Calculate s*q(m) - 6*a(m).\nAnswer: -m - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7989 + -7822. Calculate the remainder when 593 is divided by x.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 79 - 57 = -4*b, 5*o - 31 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 17*o + 11. Let f be b(-5). Let q = f - -165. Let g = -98 + q. Which is greater: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -36 (c) 2\/109 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**(-6))*s**(2\/3))\/(s*s**0*s)**(-34))**30 assuming s is positive.\nAnswer: s**2210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/7)*m*m)\/(m\/(m\/((m\/m**0)\/m)))*(m*m\/m**(-2\/7))**(2\/17) assuming m is positive.\nAnswer: m**(41\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1.26363\nAnswer: -6.31815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8247 + 8242. Suppose u - 295 = -3*u + 3*y, 4*u = -4*y + 316. Sort m, u, 2 in increasing order.\nAnswer: m, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 4*b - 3*w - 299520 = -8*w, 3*w = 0. What are the prime factors of b?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -97, -105, -113, -121, -129?\n\"Answer: -8*h - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 45. What is z(-55)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 5*q + 33 = -2*h, -4*h + 2*q = 2. Suppose 3*v - 1252 = 4*f, 2*v + h*f = 87 + 743. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(6\/(-5)))\/((3360\/(-846))\/112).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/sqrt(36) + sqrt(1377) + (2*sqrt(1377) - sqrt(1377)) + 1 + (-1*sqrt(102))\/sqrt(6))**2.\nAnswer: 35*sqrt(17) + 20829\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -2 - 1\/10*w**5 + 0*w + 0*w**2 + 0*w**4 + 1\/6*w**3. Factor o(r).\nAnswer: -r**2*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27602 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.052 + -5.552. What is the second smallest value in 3, -70, 0.2, 0.06, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -0.06900396?\nAnswer: -4.93099604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 83 - 146689\nAnswer: -146606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 4 + -1 + 1. Suppose -5*d = z + 5 - 0, z = -4*d - 3. Calculate the highest common factor of h and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2))**(-9\/10))**14\/(f**(-3)*(f*f\/(f\/((f**(-2)\/f)\/f)*f))\/f*f*(f**1*f)\/f**(-1\/9)) assuming f is positive.\nAnswer: f**(1354\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 66*l**3 + 4*l**2 - 8*l + 29. Let i(w) = -132*w**3 - 9*w**2 + 18*w - 58. Let k(y) = -4*i(y) - 9*p(y). Differentiate k(c) wrt c.\nAnswer: -198*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**2*i**3 - 4*c**2*i + 38*c*i - 13*i**3 + 50 wrt c.\nAnswer: -2*c*i**3 - 8*c*i + 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**(-2\/5)\/((s*s*s\/s**(-5)*s)\/s**(-3\/10)))\/((s*s*s\/s**(7\/3))\/((s*s**1)\/s*s*s))**(-7\/12) assuming s is positive.\nAnswer: s**(-1847\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1368 = 135*v - 126*v. What is the remainder when 164 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.4. Let t = 0.2 + n. Let z be (58\/(-4) - (46 + -45 - 7)) + 8. Put z, 1, t, 0 in ascending order.\nAnswer: z, t, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -23139 + -1 + 5. Let m(x) = 39*x**3 + x**2 - 4*x - 3. Let w be m(6). Let o = y + w. Round o to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -4304\nAnswer: 5\/4304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95113\/20 - 14258\/3. Find the common denominator of c and 31\/380.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-2))\/(2 + -4). Suppose p = -3*o + 2*x + 98, 3*x + x = o - 16. Suppose 4*r + 41 = 2*l + 7*r, -2*l + 2*r + o = 0. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6420, 24874, 55640, 98718?\n\"Answer: 6156*t**2 - 14*t + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (256 - 99 + 279)*(-g + g - 2*g)*(-2*g + 2*g - g) + (-5 + 2 + 1)*(2*g**2 + 0*g**2 - 4*g**2).\nAnswer: 876*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 38 = 5*d, 54*d + 18*d = 13*d + 59 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:03 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 22*v**2. Let y(z) = -6*z + 2. Let p(j) = 16*j - 5. Let x(l) = -2*p(l) - 5*y(l). Give b(x(g)).\nAnswer: 88*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 269 by -18371.\nAnswer: -269\/18371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 0 + 11\/2*j**2 + 7\/6*j**3 + 5*j - 1\/12*j**4. Let p be t(8). Solve 3 + 0 = p*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3 + (sqrt(1700)*-2)**2)*3)*-3.\nAnswer: -61185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3373 is divided by 168?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 163762.94 rounded to the nearest 100?\nAnswer: 163800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1069*p - 15*p + 466*p - 613*p.\nAnswer: 907*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354837.\nAnswer: 3, 7, 61, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013171843 rounded to seven dps?\nAnswer: 0.0013172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2260842493 and 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 7*n**5\/20 - 228*n**2. Let r(v) = -32*v. Give k(r(u)).\nAnswer: 21504*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z + 10 + 14. Let o be 2\/4 - (-9)\/2. Put z, 0, o in decreasing order.\nAnswer: o, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 l, and 1 r when three letters picked without replacement from lrrlarrlar?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/13*w**2 + 2\/13 + 6\/13*w + 2\/13*w**3 = 0. What is w?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22\/85 + -7496\/595. Let v = o + 215\/14. Let q be 16\/56 + 2\/14. Which is the second smallest value? (a) q (b) -1\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17\/(-3))\/(1\/3). Suppose -396 = -5*y + 27*y. Let s = y + 24. Let d(m) = 14*m**2 - 6*m + 23. Let b(i) = 5*i**2 - 2*i + 8. Give s*d(v) + w*b(v).\nAnswer: -v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -543695.\nAnswer: 7\/543695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.1824276 rounded to three dps?\nAnswer: 17.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) - (sqrt(2268) + (sqrt(2268) + (sqrt(2268) + 1 + sqrt(2268) - sqrt(2268)))*-6))**2 + (sqrt(448) - -1*sqrt(448))*-1 + 3.\nAnswer: 2576*sqrt(7) + 326631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15031024 and 4?\nAnswer: 60124096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 372, 4, -0.447?\nAnswer: -0.447","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -452 (base 7) in base 4?\nAnswer: -3221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 6*d**2 + 7*d + 5. Let b be g(4). Let h(q) = -q**2 - 1. Let c(n) = 5*n**2 + n + 8. What is b*c(m) + 6*h(m)?\nAnswer: -m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g + 8. Suppose -g = -2*v - 2*v. Differentiate h**2 - 2*h**2 - v + 3 with respect to h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = p - i, 308 = 3*p + 4*i - 17. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 17*b. Let s(x) = 9*x**2 + 5. Let d(w) = -8 + 11*w - 11*w - 14*w**2 + 0. Let f(q) = -5*d(q) - 8*s(q). Determine f(o(r)).\nAnswer: -578*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -782 = -4*v + 2*v - 4*p, -3*v + 1179 = 3*p. What is the third derivative of -3*u**2 - v + 10*u**3 + 395 wrt u?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3511 greater than -3515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 8*l - 5. Suppose -l*i - 3*n + 6 = -2*i, 3 = -n. Suppose -i*f = -144 - 646. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 - 1 + 11 - 87*c**2 + 9 - 17 + 4*c**4 in the form i*c**2 + m*c + r*c**3 + a*c**4 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143284 and 1469?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -49*y - 3327. Let r be n(-68). Solve r*v = f - 23, 2*f + 25 = -3*f - 3*v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -13019301.\nAnswer: -4\/13019301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + 12 = 16*y + 3*g, -3*g = -5*y - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20144247 and 2571606?\nAnswer: 120865482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*n + 2*u, 5*n - 4*u = u + 5. Sort -5\/3, n, 1 in ascending order.\nAnswer: -5\/3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*l**4 - 2*l**3 - l**2 + 31*l.\nAnswer: -720*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 96 = 4*p - 70, 5*p = 5*t + 200. Let i = -41 + 21. Let y = i + p. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 401102142 (base 5) to base 3\nAnswer: 2222100110211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obedowm. What is prob of sequence obme?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -10*s. Let u(z) = 2*z + 66. Calculate p(u(c)).\nAnswer: -20*c - 660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/3573 and 71\/4719?\nAnswer: 5620329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**4 - 5398222*j**3 - 7285092225081*j**2 + 291410166901640*j - 2914123262064400 = 0. What is j?\nAnswer: -2699131, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 26 - 6 = -3*q, -5*v + q = 20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 12, 0 = 13*v - 17*v - 2*b + 14. Let k(d) = -9*d**2 + 2. Determine k(v).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 367314*t**4 - 7*t - 100844 wrt t.\nAnswer: 4407768*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = 3*i + 4*c + 28, -4*i = 5*c + 36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 1\/9, 6, -1\/2, 2, 0.49?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p + p - 2 + 0*p - 7*p. Let g(b) = 2 + 2 - 984*b**2 - 4 + 985*b**2. Give g(k(j)).\nAnswer: 4*j**2 + 8*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247, 10785, 1\/7, -5 in ascending order.\nAnswer: -247, -5, 1\/7, 10785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14006625 is divided by 110.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:12 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/1 + 48\/6. Suppose -1946 - 214 = -27*q. What is the greatest common divisor of k and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 1995970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 12, 3*b + 24 = 6*b + 3*m. Suppose 0 = -g - 2*k + 39, -b*k - 145 - 63 = -4*g. Solve -3*y + 35 = 4*n, -5*y = 3*n + 7 - g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -9. Let n be 2\/(-10) + 86\/v. Let x(b) = 16*b**2 - 1 + 1 - n*b**2. Let i(o) = 3*o. Give i(x(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3581*h + 16. Let f be j(-4). Let m = f + -5839. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -157, -199, -203, -157?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1002 - -480?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -160983.\nAnswer: -28\/160983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -110594 or -110595?\nAnswer: -110595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - 123037.577?\nAnswer: -123087.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(1 + -4)*12\/14 - 10. Which is the closest to 0.1? (a) -0.2 (b) 0.13 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60675?\nAnswer: 3, 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3371 + 2.34. Let o = f - 0.1029. Let z = -0.2 - 0.8. What is the second biggest value in 3, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313125205.\nAnswer: 5, 233, 268777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -30042192+2187891.6\nAnswer: -27854300.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/18 and 173\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 4*t - 3, 12*p - 10*p - 5*t + 3 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -102 - 244. Let i = v + 345.999752. What is i rounded to five dps?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3918170 to the power of 1\/2, to the nearest integer?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 79*t**2 - 58*t + 24. Is w(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/50160 and -95\/8.\nAnswer: 50160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**5\/60 + n**3\/2 + 2*n**2. Let h be z(4). Let q = -9 - h. Solve 2*v - 3 = -5*c - 0, c - 3*v = q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-1 + 10)\/1. Let b = 11 - r. Sort -1, 4, b.\nAnswer: -1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1002*o**3 + 4*o**2 - 4*o**2 + 539*o**3.\nAnswer: 1541*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y, 0 = -5*j - 0*y - 4*y. Suppose 2*q + 30 - 6 = j. Suppose 3*k + k + 48 = 0. Is k greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = -5*a, 2*a + 0 + 6 = z. Suppose z = i + 4*t + t - 77, 47 = i - t. Is i a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (1 + 2 - -2 - (10 - 10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019439 rounded to 5 dps?\nAnswer: -0.00194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -706541, -1, -1\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2\/7, -0.2, -5, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 96 = 6*m. Suppose h - 2*v + m = 0, -4*h - 146 = -v + 2*v. Let u be 24\/h - 10\/(-42). Put 0.5, u, 1\/4, 0.04 in decreasing order.\nAnswer: 0.5, 1\/4, 0.04, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c. Suppose 11*o - 810 = 1665. Let z = -222 + o. Solve z*w + 12 - 3 = c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 8252, 3\/7, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*f**3*s*y**2 + 3*f**3*s + 5*f**3*y**3 + 2*f*y**2 + 17*s*y**3 wrt y?\nAnswer: 30*f**3 + 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/2, 2\/5, 378, -2, -193, 0.5?\nAnswer: 378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 1, 0 in decreasing order.\nAnswer: 1, 0, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 8 = 3*b - 5*n, 5*b = -n + 21. Let q = 6 + 0. Let x = q - b. What is the smallest common multiple of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 352*f - 12543. Calculate p(40).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 17*o - 3. Let w(s) = -84*s + 16. Let v(u) = 11*j(u) + 2*w(u). Suppose 0 = -z - 2*a + 9, -3*z = -4*z + 3*a - 11. What are the prime factors of v(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*w - 5*w. Let c be (-180)\/(-16)*(2 - w). What is the highest common divisor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 60, 91, 122, 153, 184?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/45)\/(18\/75)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*n - 5. Solve n = -5*o + 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76198759 at most as big as 76198759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 921\/274 - -19\/137. Let g(k) be the first derivative of 30 - f*k**2 + 9*k - 1\/3*k**3. Give g(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 87, 179, 271, 363, 455?\n\"Answer: 92*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7269288.\nAnswer: 2, 3, 13, 23, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 66 = -2*y + 4*r, -y = 2*r - 19. Let g = y - 46. Let b be (-2 + g)\/((-27)\/18). Solve -5*l + 1 + b = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 8. Let p be 3 + (-5)\/5 + -5. Let k be z(p). Solve -2*x**3 + 2*x + 1\/2*x**k - 1\/2 = 0 for x.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5772 by -1924.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30210 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46\/27 in 7, 0.4, 1\/2, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -126*d**3 + 9*d**2 - 15*d - 29. Is z(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*k**2 + 1 - k**2 - 16*k**2.\nAnswer: -15*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -21587*c - 1575847. Give s(-73).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**17*w**0*w**(1\/9)\/w**(1\/12) assuming w is positive.\nAnswer: w**(649\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 15344849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5720, 5735, 5750, 5765?\n\"Answer: 15*u + 5705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.31.\nAnswer: 0.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((41154\/(-9747))\/(4\/45))\/((-2)\/4)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**29\/(q**4\/q) assuming q is positive.\nAnswer: q**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 911912.4 litres in millilitres?\nAnswer: 911912400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 2. Let b be w(4). Suppose -n + 2*g + 8 = 0, n = 5*g + 25 - 2. Let o be (-35)\/7*(n - 1). Solve -4*l + 3*y + o = -6, -l - 3 = b*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -11. Let a = -4.3 + 0.3. Sort 0.2, v, a in decreasing order.\nAnswer: v, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 16*i = -8260. What are the prime factors of i?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2431883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9750.989 decades?\nAnswer: 975.0989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 2*j**2 + 0*j**3 - 5*j**2 - 3*j. Suppose 54*v + 1680 = 390*v. Give r(v).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289118169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 17*f. Let w(s) = s**2 - 211*s + 5. Calculate w(u(j)).\nAnswer: 289*j**2 - 3587*j + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/67 and ((-2184)\/261)\/(-8)*(-6)\/4.\nAnswer: 3886","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7435 - 6233*q + 7435.\nAnswer: -6233*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49122 and 126.\nAnswer: 343854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -160246, -320483, -480720, -640957?\n\"Answer: -160237*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 1, a: 2, k: 1, l: 1, i: 2}. Give prob of sequence ai.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13054 (base 7) to base 4.\nAnswer: -312031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m = -2*a + 8*m - 20*m + 28, 4*a - 2*m - 11 = 45 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*v - 61*v + 165*v - 2*v - v + 4*v + (v - 1 + 1)*(8 - 8 - 8) as p + j*v and give j.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 302.67.\nAnswer: -302.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69243934?\nAnswer: 2, 59, 586813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3132 (base 4) to base 5\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.69999791 + -1.7. Round y to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**3 + 2*u**2 - 2*u**2 + (0*u**2 + 4*u**2 - 2*u**2)*(1533 - 70*u - 1533) as s*u + d + w*u**3 + o*u**2 and give w.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.85386819 to 2 dps.\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -8 - 5) + -3 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, n: 7}. Give prob of sequence nvv.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*y = 124 - 46, 0 = 2*d + y - 52. Let l = -16 + d. Is (-2595)\/(-6)*8\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 17 - 23 = 0. Let q(p) = p + 10. Let u be q(z). Suppose u*c - 6 - 2 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 6 = -2*d, -2*d + 5*w = -11 - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 5)\/(2 - 0). Let z(w) = -3*w + 63. Let x(i) = -i. Let q(g) = h*z(g) - 2*x(g). Let v be q(0). What is the greatest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 339?\nAnswer: 4407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78*m**2*s**6 + 11*m**2 - 27*m*s**2 - 14*s**6 - s**2 wrt s.\nAnswer: -9360*m**2*s**3 - 1680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*d = 784*d + 679 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2. Let s(w) be the second derivative of w**4\/6 - 18*w - 3. Calculate j(s(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1435 + 1475. Calculate the least common multiple of s and 1572.\nAnswer: 15720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*s - 201 = 619 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3*i - 106 = 0, 62*v = 64*v - 4*i + 32 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5673 + -5671. Which is the third smallest value? (a) -17 (b) -6 (c) h (d) -5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/j**0)\/j))**(10\/3))**(-7\/6) assuming j is positive.\nAnswer: j**(-35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -191 + 165.6. Let k = -30 - q. Let s = k - -5.1. Which is the biggest value? (a) -7 (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -23, 2, -1\/3, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011110010 (base 2) in base 7?\nAnswer: 2125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 2. Let f = -25 + 24. Let q(p) = -2. Let u(g) = 11. Let t(y) = 6*q(y) + u(y). Determine f*b(n) + 4*t(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -3, -32, 43, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 695*i - 702*i + 77. What is the remainder when 54 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113001 + 13?\nAnswer: 113020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14326191846*w + 14326191846*w + 2*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/56985 and 19\/1345?\nAnswer: 15328965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2203775\/4862025 + (6\/4)\/(77\/(-22))\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15003813*v**4 - 3492*v + 5750.\nAnswer: -180045756*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -172148, -344943, -517738, -690533, -863328?\n\"Answer: -172795*p + 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 + 222.575.\nAnswer: 222.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031888 rounded to four decimal places?\nAnswer: 0.0319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**3*s - d**3 + 144835428*d**2*s + 2*d**2 + 3*d*s + 197697*d + 29*s - 4 wrt d?\nAnswer: -6*d*s - 6*d + 289670856*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/25 + 12\/(-15). Solve 48\/5*m**5 + v + 6*m**2 + 99\/5*m**3 + 24*m**4 + 3\/5*m = 0 for m.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*-3)\/(1\/(-1)). Suppose d*h = -2*a + 106, 2*h - a + 4*a - 69 = 0. Let j be 20*((-10 - -4) + 7). Solve -5*n = 3*w - 8 + h, -3*n - j = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.982288 meters to millimeters.\nAnswer: 982.288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 14075.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/1155 and -193\/39222540.\nAnswer: 431447940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -26*g**2 - 4*g + 13. Let u(f) = -26*f**2 - 3*f + 15. Let p(n) = -7*a(n) + 6*u(n). Calculate the remainder when p(-1) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 30839 = 5*l, -2*l + 0*f + 12346 = -3*f. What are the prime factors of l?\nAnswer: 7, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000066429332 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 92\/2 + 4 + -5. Let u = 10 - z. Let x = u + 50. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*s**3\/7 + 1621677*s**2 + 3579501289848*s\/7 + 1193165835312\/7.\nAnswer: 3*(s + 630652)**2*(3*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 24. Let u be 0\/(-1*(d + 4)). Solve u = -l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/532 + -2581\/532. Let z = 13237\/6 - 2197. What is the common denominator of z and k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -246 + 794*x**2 + 124 + 1637*x**2 + 122 + 2*x to f*x**2 + v*x + n and give f.\nAnswer: 2431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 6) + 1 + -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 992.\nAnswer: 5\/992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 5\/3, -4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/100 + (-1)\/(10\/(-54)). Suppose v + 58 = 2*y + 3*v, -i*v = -3*y + 63. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242352 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247 and 2421189?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 1)**2*-3 + -4*-1*sqrt(242).\nAnswer: -297 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -396*y + 168\/5*y**2 + 1040 + 4\/5*y**3.\nAnswer: 4*(y - 5)**2*(y + 52)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 + 12*k**3 - 30*k**2 + 28*k - 9.\nAnswer: -(k - 9)*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 34 - 96 = 0. Suppose 3*g - h + 48 = 5, 0 = 3*g - 5*h + 23. Let u = g + o. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1261971 and 1199097.\nAnswer: 4491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -240.9044 and -0.14.\nAnswer: 33.726616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1001101?\nAnswer: -1001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = y - 3*u, -u = 4*y + 3. Let p be (11 + y)*5\/(-5). Let g be ((-5)\/p)\/(3\/2). Which is the biggest value? (a) 2\/9 (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -59 - -42a?\nAnswer: 3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*k - 379 = -1835 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2\/b*(b**(-17)*b)\/b)**17 assuming b is positive.\nAnswer: b**(-272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 1 = 2*u, 0 = 4*w - 3*u - 0*u - 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -188 + -185. Let s = 173 + i. Let b = -101 - s. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 354 - 344. Calculate the remainder when t is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - i = -15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1693*y**2 - 59*y + 275. Is m(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 - 8*w**2 - 8*w + 13. What is the remainder when 60 is divided by b(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5982\/17 + -352. Let g = 383.3 - 401. Let c = g - -17.7. What is the biggest value in c, 3, -5, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 3*k**2 - 7*k - 1064. Calculate o(13).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, z: 6, s: 9, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -265080760.7 to the nearest ten thousand.\nAnswer: -265080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (10 + -10 - (0 - -1))*0. Which is smaller: s or 12\/17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 715292599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 2:17 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-564)\/(-423))\/(-3*1\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2433798 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6627823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.9455523 rounded to one dp?\nAnswer: 19.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + 10. Let l(q) = -8*q + 30. Let i(p) = 4*l(p) - 11*r(p). Let a be i(-4). What is the remainder when a\/(-4)*484\/(-33) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -13*t - 3. Let a(p) = -1. Let n(m) = 5*a(m) - f(m). Suppose -6*i = -0*i - 12. Does 13 divide n(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(275) + sqrt(275))*3 - sqrt(275) - sqrt(275) - (-1 + sqrt(275))*3 - ((sqrt(275) + 1)*-4 + 2)*6)**2.\nAnswer: 1500*sqrt(11) + 171911","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30653 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 10*n. Let y(x) = -6*x**2 - 69*x. Suppose 11 = -5*w - 9. Let i(d) = w*y(d) + 27*c(d). Find the second derivative of i(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/10)\/(2\/(-45) - (-56)\/126).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-4)\/8)*1*38. Is u != 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -28.952.\nAnswer: -28.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3995457 divided by -1331819?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -11, 2\/13, 256, 5 in decreasing order.\nAnswer: 256, 5, 2\/13, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201 - 93. Calculate the highest common divisor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27974, 27948, 27922, 27896?\nAnswer: 27870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 32, 1, 6007, 7, -1 in decreasing order.\nAnswer: 6007, 32, 7, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 26. Let p(d) be the second derivative of 7\/12*d**4 - v*d + 0*d**2 + 1\/3*d**3 + 0. Find the second derivative of p(h) wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 1 = 3*j - 10, 0 = -d - j - 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*x - 72*x = -63 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 26 = j. Suppose -d - 4*l = -18, 41 = d - l + 13. Calculate the highest common factor of j and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37\/(-1 + 1 + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4798565, 2, -0.019.\nAnswer: -4798565, -0.019, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by (-20)\/150*3 + (-224)\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 127*q - 131*q. Suppose -45*u = -q*u + 624500. Round u to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37687, -37234, -36483, -35434, -34087, -32442?\n\"Answer: 149*x**2 + 6*x - 37842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from uqzqzqzquzqqz.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:58 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 73026636 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 6:50 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 552 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-22)*(-12)\/18?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-seven fifths of a micrometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 164738 - 108318. What are the prime factors of y?\nAnswer: 2, 5, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -6*b + 1\/8*b**4 + 93\/4*b**2 - 7 + 8*b**3. Factor g(t).\nAnswer: 3*(t + 1)*(t + 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 54. Solve 3 = -g*m + 2*m - 3*x, -1 = -m + 2*x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 163 = -111. Sort 2, 8, j.\nAnswer: 2, 8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -668, -871, -1210, -1685?\nAnswer: -2296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1269 and 189?\nAnswer: 8883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6978.741 to the nearest one hundred.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 14 - 9*x**2)*(0*x**2 - x**2 - x**2).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*k**4 + 159*k**2 - 3*k**3 + 122*k**2 - 9583*k - 1283 - 2*k**4 + 9582*k wrt k.\nAnswer: 24*k**2 - 18*k + 562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5 = -5*y, -4*y - 8 = -3*l - 12. Suppose l = -20*v + 897 + 903. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31215, 62401, 93583, 124761, 155935, 187105, 218271?\nAnswer: 249433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 100*i + 948. Calculate the lowest common multiple of b(-9) and 4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127153793 divided by 127153793?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21\/4 in 0.1, 0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3}. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227555, 910069, 2047547, 3639989?\nAnswer: 5687395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 274555021 + 0?\nAnswer: 274555021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 9663*d - 174258.\nAnswer: (d - 9681)*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f + 3. Let g = 7 - 7. Suppose -3*n + 2 - 8 = g. Calculate x(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2385*s**2 + 2385*s**2 - s**3. Let v(p) = -4*p**3 - 14*p. Calculate 5*m(k) - v(k).\nAnswer: -k**3 + 14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5437 + 5444. Solve s*q + 3016 = 2967 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10625 - 10624.99999942894. What is y rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 1\/24*j**4 + 0*j + 0 - 5\/6*j**3 - j**2 + 1\/12*j**5 + 1\/120*j**6. Let r = 4991 + -4995. Determine m(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 11*z - 10. Let t be m(-4). Solve -3*n - 2*g - t = 0, 2*n - 10 = 3*n + 3*g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 + -5 + (0 - 5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 674, -1, 5, -11 in descending order.\nAnswer: 674, 5, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a factor of 23424690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -16\/221, 8, 11, -0.3 in ascending order.\nAnswer: -0.3, -16\/221, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/7 - 25008\/(-168). Suppose -49*h + 50*h - r = 0. What are the prime factors of h?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 17*g + 20. Let s be z(-18). Suppose l - 797 = -3*t, 0 = -2*l - s*l - 2*t + 3188. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 6. Let d(j) = -3*j**2 - 45. What is b(d(s))?\nAnswer: 3*s**2 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 4*w + 61. What is the lowest common multiple of 104 and m(7)?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -3)\/(-4) - (3 + 1). Let y be 312\/40 + -2 + (-11)\/j. Suppose -5*p + 33 = y. Solve 21 = p*m + 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*g, g = -2*q + 5*q + 4. Let u be 3*(1 - (-8)\/6). Let d be 1\/(-1) - (4 - u). What is the third biggest value in -0.4, g, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 10:24 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 11844*l**5 - 74985*l**4 + 134061*l**3 - 15486*l**2 - 94788*l - 216 = 0.\nAnswer: -2\/3, -3\/1316, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*v. Suppose 0*s + 3*s - 9 = v. Solve -d = s*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - a - 9. Let h be s(4). Suppose -2*u - 14 = 5*c, h*c = -5*u - 1 + 4. Calculate the lowest common multiple of u and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -86 (b) -5 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 261770.2l?\nAnswer: 261770200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 79737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2223602?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 21 - -10 - 0) + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/4 (b) -3 (c) -5 (d) -1267.6 (e) -1\/5 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**(-2\/7)\/q)))\/(q*q**(2\/17)))\/(q**6\/q**(-1\/12))*(q*q*q**(1\/10)*q*q\/q**0)\/((q\/(q*q\/q**(1\/4)*q*q))\/(q*q**(-1\/4))) assuming q is positive.\nAnswer: q**(809\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 + 12*u**3 - 3*u**2 + 2*u - 9*u**4 + 2*u**4 + 9*u**4 to y*u**2 + n*u**4 + q + d*u**3 + w*u and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 66007824 divided by 228?\nAnswer: 289508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 226*h + 10725. What is u(-45)?\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9246\/185 + 1864\/37. Let i = 3 - 2. Which is the nearest to i? (a) p (b) -0.5 (c) -2 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11323\/46 at least -247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(110) + 1*sqrt(110)) + (-3*sqrt(110) - sqrt(110))*-3)\/((sqrt(360)\/(sqrt(24)\/sqrt(4)))\/(6*sqrt(24)\/sqrt(4))).\nAnswer: 132*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78*n*t**3*v - 6*n*t**2*v**2 - 227484*n*t*v**3 - 3*n*t*v**2 + 637264*t**3*v**3 + t**2*v wrt t.\nAnswer: 468*n*v + 3823584*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3677*o - 9*o**2 + 3681*o + 33*o**2 - 16*o**2 + 2*o**3. Let w(d) = d**3 + 9*d**2 + 5*d. Give 5*i(x) - 4*w(x).\nAnswer: 6*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 953.32 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120012 - 10010?\nAnswer: -1200022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 11:55 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 600257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + -2 - (-1 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, a: 7, m: 3, p: 1}. What is prob of picking 1 a and 1 k?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d - 4*d)*(-1 + 1 + 2) - 1 - 2*d + 1 + (6*d - 3*d + 0*d)*(-1 - 3 + 2) + d - 3 + 3.\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.9 (b) -39 (c) 31 (d) -2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430583 is divided by 18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5 - 7 = f, b = -5*f. Calculate the remainder when 34 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333 (base 5) to base 4.\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -3, -188364 in decreasing order.\nAnswer: 29, -3, -188364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5, -5*j - u + 2 = -3. Let v(m) be the third derivative of 1\/84*m**4 + 2\/21*m**3 + j - 1\/210*m**5 + 0*m - 2*m**2. Suppose v(q) = 0. What is q?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62991818?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3084836 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -155352220?\nAnswer: 155352213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(((o**(-3)*o)\/o)\/o))\/o)\/o*o\/(o**11*o*o))\/(o**(3\/2)\/o**(1\/7)) assuming o is positive.\nAnswer: o**(-145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182226057 is divided by 3060?\nAnswer: 3057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 622697258 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2510940?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 18*x**2 + 216*x.\nAnswer: -3*x*(x - 6)*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1012*q**3*w**2 - 978354431*q**3*w + 4*q**2*w**2 - 8661*q*w**2 wrt w?\nAnswer: -2024*q**3 + 8*q**2 - 17322*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*c + 19, 2*c + p = 7*c - 29. Let z = -3797 - -3808. Suppose c = -6*y + z. Which is smaller: y or 12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*h + 5*h + 4*d, d - 3 = 0. Calculate the least common multiple of h and (-56)\/(-3) - 8\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134969632 a multiple of 1301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 15754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -36*r**2 + 122*r**3 - 258*r**3 + 133*r**3 - 90 + 129*r = 0.\nAnswer: -15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 4. Suppose -232 = 4*q + 464. Let r be q\/(-18) + 4\/3. Let b(t) be the first derivative of 7*t**2 - 11*t + 5. Calculate r*p(g) - 4*b(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, x: 3, c: 5}. Give prob of sequence xc.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 2*d + 0*d**3 - d**3 - 6. Let r(y) = -80*y**2 + 4159*y + 52. Let g be r(52). Calculate a(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2) + -2 - sqrt(5)) + (sqrt(5) + 0 + sqrt(320) + sqrt(320))**2 - ((sqrt(1080)*1)\/sqrt(6))**2.\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h = -11*h - 4*u + 8, 11 = -4*h + u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 9. Suppose 0*l = -x*l + 332. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*i**2 - 18*i**2 + 31*i - 4*i**3 + 31*i**2 in the form a*i**2 + h*i + w + b*i**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -415*k**2. Suppose 0*g - 5*c = -g - 1, -3*g - 22 = 4*c. Let v(h) = 46*h**2. Let t(d) = g*f(d) - 55*v(d). Let q(x) = -2*x. What is t(q(j))?\nAnswer: -160*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.834 + 0.544. Let d = s - -2.2. Round d to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -7. Let m = -9 + f. Which is the biggest value? (a) m (b) -0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 1 = -5*o, -5*g = 5*o - 4*g - 7. Let a(y) be the first derivative of -4*y**o - 3 + 11*y**2 - 9*y**2. Let m(b) = -b**2. Determine a(m(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -6b0?\nAnswer: 6ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 259*f**3*o**2 - 29*f**3*o - 194971*f**2*o - 5022*o**5 wrt o?\nAnswer: 518*f**3 - 100440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 0.337134?\nAnswer: -2.359938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 4*t**2 - 9924*t**3 - 2*t + 10504*t**3)*(-6 - 2 + 11).\nAnswer: 1740*t**3 + 6*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 4*r. Let s(b) be the third derivative of -b**4\/6 - 5*b**3\/6 - 274*b**2. Let z = 6 - 8. Let l be s(z). Determine v(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 13*u - 15 = -3*j, -61 = -5*u - j. Calculate the greatest common factor of 3396 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times -850531?\nAnswer: -935584.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/38 and -125\/36.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5103 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 23*p**3 + 13*p**2 - 2*p - 2. Let c(j) = -12*j**3 - 7*j**2 + j + 1. Let i(g) = -11*c(g) - 6*h(g). Let v be i(-1). Is 3 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -28, -45, -68?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9\/2 + 101\/22. Let a = -17.4 - -3.4. Let b = 14.1 + a. What is the third biggest value in b, 0.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = o + 7, -x - 1 = 3*o + 4*x. Let f(v) = 18*v**2 + v - 4. Let j be f(o). Let b be 1*(1*-1 - -24). Calculate the highest common factor of b and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/522 and -31\/6090?\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*n + 15, 4*n - 33 = -5*l + 6. Let w(a) = -2*a + 14. Let r be w(n). Factor v + 173*v**r + 7*v**2 - 6*v - 10.\nAnswer: 5*(4*v - 1)*(9*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 612, 1221, 1830, 2439?\nAnswer: 3048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 48*b**2 - 159*b - 291. Let y be w(-51). Solve 593*x - y = 598*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*x - 121*x**2 + 20*x + 256*x**2 + 18 - 133*x**2 to y + i*x**2 + d*x and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 - -100. Let v be 12*5\/60*f. Solve -2*s + 2 = 2*h - 2, -5*h - v = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 63 - 62. What is the tens digit of ((1125\/(-2))\/9)\/(f\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v + 3. Let q(g) = g + 1. Let k(j) = -m(j) + 5*q(j). Let c be k(-4). What is the units digit of 26 + (-7)\/(21\/c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -1\/4, 615, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 5*j - 2. Let k be z(3). Let y be (-12)\/30 - 734942\/k. Suppose -3*o - 195988 = -2*b - 2*b, 3*o + y = 3*b. Round b to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**4\/4 + 11*g**3\/3 + 239*g**2\/2 - 5*g - 16. What is the units digit of y(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 23) + 16 - 210\/(-45)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236\/7 greater than or equal to 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268*r = 3*l + 266*r - 2444, 2*r - 4052 = -5*l. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*a - 76, -4*u + 2*u = -2*a + 32. Calculate the remainder when 58 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(440)\/(-2*sqrt(8)))\/(sqrt(200)\/sqrt(10)).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*k + 8. Suppose -24 = 2*v - k*v. Solve -4*g - 8 = v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3)\/(50\/240*12)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 + 6*r**2 + 6*r. Let q be c(-2). Put q, -9, 7 in decreasing order.\nAnswer: 7, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2216, -2495, -2788, -3095, -3416?\n\"Answer: -7*g**2 - 258*g - 1951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 m when three letters picked without replacement from mmmmuum?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.8456525 and 17.\nAnswer: 14.1543475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4314 less than 3583217?\nAnswer: 3578903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + r**2 + 2*r + 2. Let k(t) = 6*t**3 - 8*t**2 + 1216*t - 16. What is k(i) + 8*o(i)?\nAnswer: -2*i**3 + 1232*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -23 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5486253 millilitres to litres.\nAnswer: 0.0005486253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -15 - (-85 + (46 - -56)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -352712523 > -352712517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 2*r + 1. Let s(u) = u**2 - u - 1. Suppose -6*i - 18 = -30. Suppose 2*x = 2*b - i, -b + 0*x = -4*x - 7. Give b*s(p) - g(p).\nAnswer: -3*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2, -27\/4, -3, -6, 145?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(4 + -1)*-2. Let a = c + 8. Factor 2\/7*h + 2\/7*h**2 + 0 - 2\/7*h**a - 2\/7*h**3.\nAnswer: -2*h*(h - 1)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -5, -0.7584, 2\/9, 2 in descending order.\nAnswer: 2, 2\/9, -1\/9, -0.7584, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/4)\/x)\/(x**(2\/9)*x))\/(x**(-2\/3))**(-29)*(x\/x**(1\/3))**27*(x**8\/x)\/(x*x**(-7)) assuming x is positive.\nAnswer: x**(367\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/15, -11.19, -1, -2, 0.05?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 5411*f - 5412. Determine i(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 468 = -19*g. Let h = g - 35. Let b = h + 69. Solve -4*n + 0 = -b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-17\/3))\/r)\/(r*r**9*r) assuming r is positive.\nAnswer: r**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 74257.9 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-42))\/((-3414)\/3983)*4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162 + 187. Let t be ((0\/4)\/2)\/1. Suppose 4*s + t*s = -2*h + 6, s = -5*h + 24. Calculate the greatest common divisor of w and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12438 or -12863?\nAnswer: -12863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 2\/4*4. Let x be -1 + 0 + 3 - m. Let g = x + 17. Calculate the remainder when g is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/12 - 195\/(-9). Suppose -11*g + 147 - 125 = 0. Solve z = g*l - 5*r, -20 = -r + 5*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957\/5 at least 592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(f - f + f**2) + (0*f - f - f)*(0*f - 3*f - f) + 3*f**2 + 0*f**2 + 0*f**2 to the form x*f + p + d*f**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -118.46 - -117. Let j = -1.6 - m. Let k = 0.162 + j. What is k rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/11 and (-586)\/(-24) - (-14)\/(-56).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 27 = 5*f, 2020*l - 3*f = 2018*l - 15 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 17*b - 7. What is the tens digit of u(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 1:56 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8167*f - 8149*f = -234 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-6))\/1*(-1734)\/(-2023)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 22. Solve 5*c + 7 = -4*y - 2, -2*c = -a*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80996.21578 + 80758.22. Let x = 238 + w. Round x to four decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 29. Let v(n) be the third derivative of -7\/600*n**6 + 0*n**4 + 2\/525*n**7 - 1\/150*n**l + 0*n**3 + 3*n**2 + 0 + 0*n. Let v(q) = 0. What is q?\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5715297*c**5 + 2*c**3*z - c**3 - c*z + 5*c + 7*z - 51 wrt c?\nAnswer: 114305940*c**3 + 12*c*z - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*u = x - 8, -x - 4*u = 4. Suppose x*m + 8 = 20. Let q = 0.3 - 0.1. Which is the second biggest value? (a) q (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 = 0, -8*l + 5*m = -3*l - 175. Let f = 21486 + -21418. Calculate the remainder when f is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 5:51 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/889 + 20463\/7112. Suppose -2*h - 4 = 0, 4*u = -h + 5*h + 8. Suppose u = 3*p - 21 + 9. Calculate the common denominator of p and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**2 + 35*j - 304. Calculate f(-12).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3447, -13843, -31189, -55497, -86779, -125047, -170313, -222589?\n\"Answer: -2*w**3 - 3463*w**2 + 7*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29526963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:02 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3895 and 4940?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 18\/(-10))*-20. Let k = -28 + u. Let a = k + 24. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6b + 1?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) 3\/4 (c) -2\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 10. Let x(j) = -j - 13. Let z(d) = -3*v(d) - 2*x(d). Let g = 12 + -16. Let s be z(g). Solve s = 3*t - 4*n + 19, 4*n = -t + 14 + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 904 - 904.2. What is the smallest value in 0.4, q, 2, 0.01?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2\/b)\/b)**48*b*b\/(b\/b**5)*b**7*((b\/b**(1\/4))**(-12))**(-4) assuming b is positive.\nAnswer: b**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) 0.5 (c) 2\/47 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4 + 9)*(-36*y + 2*y**2 + 36*y + 7) to the form m*y + v + o*y**2 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 + 16*s - 17. Let c be j(1). Suppose -5*q + 710 = c*d, -11*d - 3*q - 750 = -14*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 5 (b) 2 (c) 0.094 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -7*s**6\/120 + 3*s**5\/20 + 5*s**4\/24 + s**3\/3 - 6*s**2. Let t(k) = -4*k**3 + 5*k**2 + 3*k + 1. Determine 3*b(q) - 5*t(q).\nAnswer: -q**3 + 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/8, -0.4, 0.15552 in ascending order.\nAnswer: -0.4, 0.15552, 17\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/37 in -1, -2\/7, -7\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27827 is divided by 13874?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 413427407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 1811 - 1839. Let m = u - -530. What is m rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -350452, -350270, -350088, -349906, -349724, -349542?\n\"Answer: 182*v - 350634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*92\/60)\/(7*(-6)\/(-210)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -32, 1277 in decreasing order.\nAnswer: 1277, 1, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*a + 20*a - 24*a)*(3 - 2 + 2)*(-1 + 2 - 4).\nAnswer: -135*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*l - 76*l - 16*l - 105*l as u + w*l and give w.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.85712 years?\nAnswer: 0.0685712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215486 + 3*a - 7*a + 251681.\nAnswer: -4*a + 36195","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2603, 2602, 2601, 2600, 2599?\n\"Answer: -n + 2604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128*q**3*z**3 - 7*q**3*z**2 - q**2 + 67*q*z**2 + z**3 wrt q.\nAnswer: -768*q*z**3 - 42*q*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-12)*m*m\/(m**(-3\/17)\/m)*(m\/((((m*m**(-1))\/m*m)\/m)\/m))**(-6) assuming m is positive.\nAnswer: m**(-456\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 21 + 14. What is the units digit of (y - 412\/(-2)) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (4 + -2 + -7 + 1 + -8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {a: 3, e: 8}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(76)\/sqrt(4) - sqrt(19))*3 + sqrt(19) + (sqrt(1216) - 1*sqrt(1216)).\nAnswer: 2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102 + 110 - (27 - -50)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109595359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (786\/(-24))\/(2\/(-191032)). Suppose -5*u + n = 171734. Suppose 31283 = -4*m + u. Round m to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42518 + 71. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 4, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0589 or 156\/25?\nAnswer: 156\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(152)*1)\/(2*sqrt(1152)) - (-3 + -1*sqrt(1216) + ((sqrt(228) + 1*sqrt(228))\/sqrt(12) - (sqrt(19) + 0 + -2)))**2.\nAnswer: -932 - 341*sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 21 + 18*r - r**2 + 42 in the form k*r + n*r**2 + g and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 28529 = f - 12*a, -3*f + 85603 = 2*a. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgs when three letters picked without replacement from swessesrssewerqge?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/12 + w**2\/2 - 3*w. Suppose -5*v + 3 - 13 = b, 5*v + 3*b + 20 = 0. Let i(t) = -t**2 - t. What is v*f(s) - 2*i(s)?\nAnswer: s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 10 = -3*c, 0 = -3*c + 7*c - 5*g + 3. Let k be -3 - 5\/(-2)*8\/4. Let v be c - (-15)\/6 - 2400001\/k. Round v to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-3) + 3*(9\/12)\/(135\/310)\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160223462 + -304204462. Round s to the nearest 1000000.\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117003317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8539221 divided by -3467?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 8*v**6\/15 - 11*v**2 - 11*v. Differentiate u(s) wrt s.\nAnswer: 64*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1808 = -136*d + 2624. Let g(l) be the second derivative of 13*l + 1\/10*l**5 - 1\/45*l**d + 1\/9*l**3 - 1\/6*l**4 + 0*l**2 + 0. Factor g(i).\nAnswer: -2*i*(i - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1 + (0 - -2). Let d = -43 - -60. Let r = d + -17.4. Which is the closest to g? (a) r (b) 0.2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*x - 4*x + 1148 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1465, 3, -1, 1142 in decreasing order.\nAnswer: 1465, 1142, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-6)*-30*(-9)\/21. Let n be (-4)\/(-10)*x\/6. Suppose n*i + 18 = 22*i. Which is the nearest to 2? (a) -2 (b) i (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*x + 266 = 0, 2*r = 7*r - 3*x - 273. Let j = 268\/5 - r. What is the closest to -0.1 in 0.07, j, 1\/2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (783\/6)\/(-29)*4\/(-2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1\/z)\/z)**(-8\/3)\/((z*z**(-17)\/z)\/z**2))**(-19) assuming z is positive.\nAnswer: z**(-1235\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*f + 0 = -98, 5*u + 5*f = 155. Suppose -u = -6*h + 94. Solve 4*j = -2*x + h, 0*j + 3*x + 6 = 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*h + 6 = 2*h, -m - h - 5 = 0. Let p be (-1 + m)\/(6\/(-15)). Suppose -2*s = -p + 1. Solve 2*t + 7 = 3*r - 7, s*r - 4*t = 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 9:22 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -22. Are -2 and r nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, -33, -153, -321, -537, -801?\n\"Answer: -24*b**2 + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 4*l**2 + 4*l - 4. Let n be v(-5). Suppose 21 = 5*t + n. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-8)*8230\/(-86415))\/(1*2\/272).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and 35873.\nAnswer: -717460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 + 1)\/((-4)\/8). Let d be ((-25)\/y)\/((-2)\/8). Let i(r) = -r**3 + 4*r**2 + 7*r - 2. Calculate i(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjwchjjhjwj. Give prob of sequence hjh.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1329 is divided by 525?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -18, 3, -43, -972 in decreasing order.\nAnswer: 3, -2, -18, -43, -972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 806*q**3 - q**2 + 4057 wrt q?\nAnswer: 2418*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35399 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2433299?\nAnswer: 11, 221209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26334?\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(3\/5)\/n)\/n**6)**37)**(1\/39) assuming n is positive.\nAnswer: n**(-333\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*j + 141, -2*j - 3*l - 2*l = 89. Suppose 21*f - 29*f + 24 = 0. Let i = f - j. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 72*b = -70*b - 374, -971 = -5*f + 4*b. Calculate the remainder when 331 is divided by f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29309054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 7*b**2\/2 - 2*b + 2. Let c(p) = 6*p - 1. Let y(w) = 5*c(w) - 4*n(w). What is the first derivative of y(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 146 from 0.1533542328.\nAnswer: -145.8466457672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 44 - 11 - 7*a - 72 + 7*a as p + y*a**2 + d*a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a millennium in decades?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0142214 to four decimal places.\nAnswer: 0.0142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 8*n + 404 = 0. List the prime factors of n.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -329 + 324. What is the second smallest value in 0.3, s, -167?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -5*d**4\/4 - 10330*d**3\/3 - 5335445*d**2\/2 + 252. Find j, given that f(j) = 0.\nAnswer: -1033, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (-41 + 42 + -25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clc when three letters picked without replacement from {l: 2, c: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.02 and 167.\nAnswer: 164.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2113 (base 4) to base 5\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*x = -0*x + 12, 26 = 3*a - 4*x. What is the third derivative of 3*c**2 + c**2 + c**4 - 6*c**a + 0*c**4 wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 16, n: 4}. What is prob of picking 2 n?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.28989165 + -3046?\nAnswer: -2875.71010835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -149 - -122 - 31.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1938 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {j: 2, h: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011110 - -11011?\nAnswer: -101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1930, 1967, 2046, 2185, 2402, 2715?\n\"Answer: 3*n**3 + 3*n**2 + 7*n + 1917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(2\/5)*w)\/(w\/w**(2\/31)))**(6\/13)*((w*w**5\/w)\/(w\/(w*w**(-2\/3)\/w)))**(2\/19) assuming w is positive.\nAnswer: w**(128536\/114855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8542.5733 rounded to the nearest one hundred?\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.337 + 0.027. Let l = -0.30999905 - n. Round l to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71842 - -504188\/7. Let n = 10023\/56 - y. Calculate the common denominator of n and -87\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w - 61907 - 50073 = 0. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y + 4*w + 4, -3*y = w - 3. Let g be -1*y\/(4\/(-54)). What is the greatest common divisor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 + 0*i**3 - i**5 + i**5 + 0*i**5 + 0*i**5 + (-3*i**2 + 3*i**2 - i**3)*(-3*i**2 + 4*i**2 - 2*i**2) + 751*i - 751*i + 15*i**4 + 8*i**5.\nAnswer: 9*i**5 + 15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -1 + 16\/(-10). Suppose 60 = 2*v + v. Let q be (-4 - 1)*8\/v. Which is smaller: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 1 (b) -0.2 (c) 7\/4 (d) 400 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.493 rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.6 - 0.4. Let u = o - -34.1. Round u to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/18900 and -47\/321300?\nAnswer: 321300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(-3\/16)*d*d))\/d**(5\/2))\/(d**(1\/5))**(-28))**25 assuming d is positive.\nAnswer: d**(365\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 10359 - 10361. Which is the fourth smallest value? (a) t (b) 17 (c) 0 (d) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6234883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9 = -a, 2*t = -7*a + 8*a. Solve 10 = -2*k + a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -58107 and 445.601626?\nAnswer: 58552.601626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 1, 310\/3 in increasing order.\nAnswer: 1, 5\/2, 310\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 n, and 1 w when four letters picked without replacement from {n: 5, i: 10, k: 2, w: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 365 = 3*r, 2*g - 6*g = 2*r - 246. Suppose 2*v - r = 97. What is the greatest common factor of 27 and v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 113*d**3 + 31*d**2 + 12745 wrt d?\nAnswer: 339*d**2 + 62*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8.6? (a) 0.4 (b) 0.5 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 7*w**2 - 6*w + 2. Let a = -6 + 12. Let t be g(a). Let s be 164\/32 - (9\/8 - 1). Solve 3*m - 2*m - 3*y = 4, t*m = s*y + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4)\/x)**(7\/3)\/(x\/x**(1\/3))**(-17\/5) assuming x is positive.\nAnswer: x**(101\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 17*f**7\/840 - 33*f**6\/160 + 67*f**5\/240 + 5*f**4\/32 + 6*f**2 + 9. Determine o so that j(o) = 0.\nAnswer: -3\/17, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5021*b - 5017*b = -4*i - 48, 4*b + 12 = 5*i for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 2}. Give prob of picking 1 p and 1 q.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 26. Let a = 13 - l. Solve -a*u + 0*u = -25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Suppose -4*p - 12 = -v - 3*p, n*p - 8 = -v. Suppose v = -0*t + t. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*a = 12. Let c(p) = 2*p - 5. Let m(k) = -2*k + 4. Suppose 2*i + 3*u = -7, 5*i = 5*u - 3 - 27. Determine a*c(s) + i*m(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(2 + (-147)\/56)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -27*z + 10. Let s(x) = -12*x + 1. Let w(n) = 3*a(n) - 9*s(n). What is w(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7a (base 14) to base 15\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*p + 15*p - 18*p + 2*p**4 - p**2 as x*p**3 + o*p**2 + t + y*p**4 + l*p and give l.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27 - (-2436)\/90) + 46\/210. Put -1253, a, -1\/3 in decreasing order.\nAnswer: a, -1\/3, -1253","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511.942 + 763258395.\nAnswer: 763257883.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = -2. Suppose -s*d = -5*d + 15. Let x(f) = 3*f**2 - d + 0 - 4*f**2 - 5*f. What is x(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:30 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**34)**13*k**(9\/8)\/((k\/(k\/(k\/(k**(-33)\/k))))\/k) assuming k is positive.\nAnswer: k**(3273\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(1 + (-3 - -1)). Suppose o + 21 = 3*w + 3*o, -3*w - o + s = 0. Let q = 1 - 0. What is the nearest to q in 2\/3, 0.2, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - -1 - (25 + 10 - 48)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -475 + 8?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*u + 2*h - 0*h, 3*u + 4*h = 18. Find t, given that u*t**2 + 6*t - 2 + 4 + 2*t + 6 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*y**2 + 175*y**3 - 372*y**3 + 196*y**3.\nAnswer: -y**3 - 186*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 50*a - 1\/3*a**3 + 0 - 2*a**2. Let v(l) = -3*l**2. What is v(b(h))?\nAnswer: -12*h**2 - 48*h - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 7*a + 8*a - 9 = 0, 6 = 2*o + 4*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 113 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3374054 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-249*f - 543*f + 4 + 552*f)*(39 - 7*f - 39).\nAnswer: 1680*f**2 - 28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019969 to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 16 = 2*k. Let v(s) = s**2 - 7*s + 3. Let u be v(5). What is the remainder when (1*2)\/(u - (-815)\/115) is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -27054 at least as big as -27054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (-2 + 2)) + 7 + -11\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1885, 2853, 3821, 4789, 5757, 6725?\nAnswer: 7693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 + 0*y**2 + 3*y**2 + y**3 + 4*y + 0*y**3 - 8. Let z be q(-6). Solve 2*o + 2*o**z - 2*o + o**3 - 3*o**3 = 0 for o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 24*z**2 + 1667*z + 3231. Let q(d) = 13*d**2 + 834*d + 1612. Let t(g) = 4*c(g) - 7*q(g). Factor t(a).\nAnswer: 5*(a + 2)*(a + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 304\/2 - 80\/(-80) and 34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w - 28563 - 48117 = 0. List the prime factors of w.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 = 2. Let b be (-1 - 1) + (3 - x). Let y = b - -5. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 294307.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g. Let r be d(4). Suppose k + r*k = 10. Suppose -24*n - 39 = -135. Solve -n = -b + k*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/479478528 and -97\/5257440?\nAnswer: 2397392640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 26*t + 2. Let y be o(-13). Let j(a) = 9 - 98*a**2 + 42*a**y + 48*a**2. Let v(n) = n**2 - 1. Calculate -j(u) - 6*v(u).\nAnswer: 2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -169445418 * -2\nAnswer: 338890836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73691.\nAnswer: 59, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*x - 16 = 0, -4*x + 5 - 39 = 3*h. Let c be h\/15 - 74\/(-3). What are the prime factors of (-3)\/((-2)\/(c\/9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/7)*s*s**(2\/7)*s)**(-31) assuming s is positive.\nAnswer: s**(-775\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 10*f**2 - 497*f + 5010. Give a(10).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 278 and 24554?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(18\/4) + 491. Suppose 2*p - 4 = 0, x = -4*p + 5*p + h. Let m be (-2800)\/(-1 + 489\/x). What is m rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/5)\/(-5 - 228\/(-45)). Is (5339 - 2)*-2*1\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/5 of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11287*a**3*h*q + 17*a**3*q - 13*a**3 - 2*a*q - 7*q wrt h.\nAnswer: 11287*a**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/6*101*(-1)\/(-3). Let u(h) = 34*h - l*h + 9 + 32*h + 39*h. Give u(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v + 2. Let q be f(-2). Let s be 8\/(-5)*q\/(-4). Suppose t + 0*t - s = 0. Solve -p - t*p = 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 26, 2, -2, -0.3 in descending order.\nAnswer: 26, 2, -0.3, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 85. Solve -4*h + 40 = -k*m, -4*m - 3*h + 0 - 1 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**3\/5 - 154*i**2\/5 + 3048*i\/5 + 6696\/5 = 0.\nAnswer: -93, -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 28 = -l. Which is smaller: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**2*z**3 + 146*q**2*z + 44*q*z**3 wrt z?\nAnswer: 6*q**2*z + 264*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 16864 divided by 527\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*p - 267, 12*p - 9*p + 2*u - 160 = 0. Solve 16*d + 13*d + p = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 232*z**5 + 45672*z**4 - 458301*z - 86 wrt z?\nAnswer: 4640*z**3 + 548064*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i - 2. Let r be p(-1). Let a be (r\/(-2))\/(1\/2). Let k be (-3)\/a*10\/15. Sort 1\/6, 0.5, k.\nAnswer: k, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.38 - -0.38. Which is the third smallest value? (a) m (b) 4\/5 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48792650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11 - (-12)\/(1296\/(-2385)) and -35\/39.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*x + 58*x - 177*x + 61*x - 421*x**2 to the form j + f*x + k*x**2 and give k.\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487, 1931, 4335, 7699, 12023?\nAnswer: 17307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 18108, 7 in descending order.\nAnswer: 18108, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 58*p + 191*p + 24 - 266*p. Give g(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 592*d**2 - 2*d - 3. Let f(b) be the first derivative of -395*b**3 + 5*b**2\/2 + 7*b + 5. Let j(z) = 9*c(z) + 4*f(z). Is j(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0059886 - 0.006. What is r rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517977545 to the power of 1\/2, to the nearest integer?\nAnswer: 38961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374 is divided by 234.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 61853?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 177\/8*q + 22 + 1\/8*q**2.\nAnswer: (q + 1)*(q + 176)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 3*u**2 - u**2. Let x(p) be the second derivative of 7*p**4\/12 - 688*p. Determine x(n(g)).\nAnswer: 63*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132892?\nAnswer: 2, 33223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.6236 + -0.8744. Round p to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1459 = 76*q - 517. Let y = 52 - 26. Calculate the greatest common divisor of y and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87176669?\nAnswer: 87176669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 - 46. Suppose -3*j = c*j - 28. Factor -t**j + 24*t - 86*t**3 + 62*t**3 - 3*t**4 + 21 - 18*t**2 + t**2.\nAnswer: -3*(t - 1)*(t + 1)**2*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2. Let b(o) = -7*o**2 + 3*o + 6. Let t(i) = -34*i**2 + 16*i + 32. Let v(g) = -16*b(g) + 3*t(g). Calculate v(m(c)).\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 17*n**6\/120 - n**5\/30 - n**4\/24 + 3*n**3\/2 - 14*n**2 + 8*n. Let b be (-150)\/(-40) + 1\/4. Is a(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, j: 4, u: 3}. What is prob of picking 2 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1212761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366 = 60*s - 1206 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -9*g + 46. Let p be l(-6). Let v = -97 + p. Solve 2 = v*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-1)*u))**(2\/23))**(-38) assuming u is positive.\nAnswer: u**(-76\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3\/4 - 44997*l**2\/4 + 223534797*l\/4 - 367367380203\/4 = 0.\nAnswer: 4201, 5399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - -3.04. Let g be -3 + 1 - ((-44)\/2)\/(153 + -145). Which is the closest to -0.1? (a) -0.3 (b) t (c) -39 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 87*f**3. Determine y(1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2103 is divided by 273\/(-63)*(-2 - 3 - (-19 - -17)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 27 + 33. Is -2 - k - (3 - 0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*d = -2*d + 5, 4*d + 14 = -2*h. Which is greater: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 0 - 1\/24*n**4 + 3*n**2 + 0*n - 1\/3*n**3. Let g(f) = 3*f + 1 + 5 - 3 + 2. Determine 7*c(u) + 3*g(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 842.69989 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) 0.4 (c) -514\/9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/((-6615)\/28) + 0 + 1824\/27.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 6*s - 12. Let i = -15 - -18. Put -3, i, s in descending order.\nAnswer: i, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 71. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from bbbkbkkbbkkb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-5))\/(30\/75). Solve r + 5 = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.85 - -0.15. Let c(m) = m - 4. Let r be c(5). Let z = -1.8 + 4.8. What is the smallest value in z, r, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3073 or -3074?\nAnswer: -3073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + r + 16 = -2*r, -4*c - 3*r = -14. Let a be (-8)\/c*-1 - (-66)\/165. Find u, given that -1\/2*u**a + 0 + 3\/2*u = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -112, -446, -1002, -1780, -2780, -4002?\n\"Answer: -111*j**2 - j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 8*k**2 - 16*k - 15. Determine u(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5610 - -5661. What is the highest common divisor of w and 2108?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/2)\/j*j**(-1\/7))\/(j\/j**12*j*j\/(j\/(j\/j**2*j))*j))**(-37) assuming j is positive.\nAnswer: j**(-3811\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, -2, -2.81?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4745*f**2 - 2382*f**2 - 76*f**3 - 2363*f**2.\nAnswer: -76*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 41*k - 14*k**3 + 0*k**3 + 41*k.\nAnswer: -2*k**2*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.6. Let i = -9.7 + 10. Let f = i - -0.2. Which is the biggest value? (a) h (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -1730*j**2. Let o(f) = 7519*f. Give s(o(t)).\nAnswer: -97806174530*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5663 is divided by 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 - 2*s + 2. Let b(m) = 1. Suppose 0 = 7*x + 18 + 3. Give x*b(g) + l(g).\nAnswer: 2*g**3 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39711013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1289.414 milliseconds to seconds.\nAnswer: 1.289414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 13*m + 4. Let g be l(0). Solve 0 = -t + 2*t + z, 0 = -g*t - z - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18893179?\nAnswer: 18893179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9063 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/23 (b) 0.2 (c) -1\/2 (d) -44 (e) 0 (f) -366\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4))\/((-3)\/(-80)). Suppose 5*c - 3*c - 2 = 0. Let m be (32\/z)\/(c\/(-5)). What is the third smallest value in m, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = 13*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 450980807*g**2*j + 2*g**2 - 1328*g + 8308 wrt j?\nAnswer: 450980807*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13c5e (base 16) to base 14\nAnswer: -21730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194702*v**2 + 226 - 226.\nAnswer: -194702*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. What is the second derivative of -3*y**2 + c*y + 0*y - y wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k, k = 3*d - 4*k. Suppose 14*t - 9*t - 245 = -11*n, 0 = -n - 4*t + 40. Solve d = l - 5*s - n, 0 = 4*l + 5*s + 14 + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 3. Let f be (-7)\/(-2)*100\/35. Let a = f + n. Calculate the greatest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16\/7 (b) 7\/230 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4280 or -17117\/4?\nAnswer: -4280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(0 - 1) - -1. Suppose -5*i + g = -6*i. What is the units digit of i\/(-8)*6 + (-73)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 - -89. What are the prime factors of (-3)\/9*(-2)\/(a\/(-834))?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/2 (b) -2 (c) 1\/5 (d) 3 (e) -2432 (f) 5 (g) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(28\/14112*21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411223, -411222, -411221?\nAnswer: -411220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 - 4*r - 2. Let h(b) = 7*b**2 + 9*b + 5. Let c(g) = 2*g**3 + 17*g**2 - 9*g - 2. Let p be c(-9). Give p*h(u) - 5*d(u).\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30010 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q - 5*v = -13*q - 103406, -103358 = -4*q + 3*v. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 8. Let l = 2.4 - w. What is the second smallest value in l, -0.1, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9740, -1\/4, -1004?\nAnswer: -1004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/12 - -31\/12. What is the nearest to 0.1 in 1\/4, o, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 55.3. Sort 5, 1\/11, y in decreasing order.\nAnswer: 5, y, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-120)\/16)\/(6\/8). Let l be c\/(-35) - 4\/14. Solve 4*f + f + 25 = l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - l**2 + 2*l**2)*(12*l - 12*l - 5*l**2)*(-14 - 17 - 6).\nAnswer: 185*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (65*s**2 + 2 - 2*s + 94*s**2 + 69*s**2)*(2*s - 2*s - 2*s) - 3*s**3 + 0*s**2 + 0*s**2.\nAnswer: -459*s**3 + 4*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xorx when four letters picked without replacement from {x: 2, h: 7, j: 1, r: 1, o: 2, k: 2}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**5\/11 + 40*w**4\/11 + 210*w**3\/11 + 180*w**2\/11 - 432*w\/11 = 0?\nAnswer: -12, -6, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -912*k**5\/7 + 392180*k**4\/7 + 384936*k**3\/7 - 208188*k**2\/7 - 179344*k\/7 + 20688\/7 = 0. What is k?\nAnswer: -1, -3\/4, 2\/19, 2\/3, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -1. Suppose -26 = -5*i - z, i - z - 6 = -d*z. Solve -i*o + 9 = -4*m, 2*o = -3*o - 2*m + 33 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 416*k - 420*k - b - 28, 0 = 4*k - 2*b + 40 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 124336202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10860229.3 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b + 11. Let o(q) = -q + 1. Let u(k) = -d(k) - o(k). Calculate the least common multiple of 21 and u(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-24 - -8) - -6 - (164 - 177)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103278801 and 5305?\nAnswer: 516394005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3905 and 956285.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 267 (b) -2\/3 (c) 20\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37592.6um to centimeters.\nAnswer: 3.75926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3783*y - 3771*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6752834 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*b, 2*b - 4*k = -3*b. Suppose -f = -b*o + 4*o - 16, 2*o - 2 = 0. Solve -f = -2*y - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16750 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j - 4*j - 2 + 3*j)*(2*j - j + 0*j) to u + l*j + c*j**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11958 by -6.\nAnswer: 1993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 45, 71?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -134, -130, -126?\n\"Answer: 4*i - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - ((-2920)\/(-385))\/4. Let u = 35\/11 + f. Find p, given that 2\/7*p**2 + u*p - 4\/7 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 145*k**2 + 932*k - 11. Calculate z(-6).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 6*t - t, 10 = 5*t - b. Suppose t*q - 1383 - 6 = 0. Let p = -302 + q. What is the remainder when p is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 83*y**2 - 3*y + 2. List the prime factors of w(1).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-56) + 40\/7. Let v be 20\/(-15) + 2420\/c. What is the third derivative of 17*m**2 + v*m**5 - 430*m**5 + 8*m**2 wrt m?\nAnswer: -1680*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + ((-1)\/(-22))\/(7\/14). What is the nearest to 1 in -0.5, 3\/4, u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (5 - 1) - 8. Let x = 7 + h. Let w = -7615 + 7612. Which is the biggest value? (a) x (b) 4 (c) 0.3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/42)*t)**(2\/111) assuming t is positive.\nAnswer: t**(41\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 858\/(-693) + (-8)\/(-14)*1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 932.0924us?\nAnswer: 0.9320924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -318b - -4?\nAnswer: -3187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*44\/4*-151 + -1. Find the third derivative of -3*n**2 - a*n**3 - 2*n**2 + 23*n**4 + 1660*n**3 wrt n.\nAnswer: 552*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-2 - (-1 - 5)) + 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20986404 a multiple of 1229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(144) - (sqrt(144) + (sqrt(144) - (sqrt(144) + (sqrt(144) - (sqrt(144)*-2 + sqrt(144)))*2 + sqrt(144))))))\/(5*3*sqrt(75)))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 10 = -32. Calculate the greatest common divisor of 28 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 64*d - 106. Let b(x) = -13*x + 21. Let u(j) = 14*b(j) + 3*k(j). What is the remainder when u(22) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*l - 14, -l = 5*i - i - 9. Suppose a - 339 = -l*r, -4*a - 32 - 86 = -2*r. Let v = 546 + r. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7080 = 14*z. Suppose 5*n + 53 = -4*u + z, -395 = -4*u + 3*n. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 + 242842*x + 728544.\nAnswer: -2*(x - 121424)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i + i - 2*i**2)*(68*i + 69*i - 136*i) - 3*i**3 + 8*i**3 + 9*i**3)*(2 + 1 - 5).\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/80)\/(((-231)\/(-55))\/(-21))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17066 (b) 1.2 (c) -4 (d) -5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1099676*j + 2 - 4 + 2 - 1118063*j in the form i + g*j and give g.\nAnswer: -18387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3406368 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 18*s**3 - 2*s**2 + 1. Let q(a) = 4 + 22 - 3 + 6*a. Let x(d) = -8*d**3 + 58*d**2 - 9*d - 39. Let w be x(7). Let u be q(w). What is k(u)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1222\/27 - -14099\/297. What is the common denominator of k and -31\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k**3 - 7*k - 8. What is the tens digit of c(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/24*(78\/(-15))\/13*12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 0*o**2 + o**2)*((-1 + 1 - 2)*(2 - 3 + 5) + 3 - 2 + 1).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*n*r**2*w**3 - 12932*n*r + 25*r**2*w**3 - 19*r**2*w + 60*w**3 - w**2 wrt w?\nAnswer: -168*n*r**2 + 150*r**2 + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**3 + 3*t**2\/2 + 5152*t + 1. Suppose 1 = x - 2. Calculate k(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -437, 3, 2\/15, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -645.9 - -644. Sort s, 0.1, -7\/2 in descending order.\nAnswer: 0.1, s, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 10 - 6. Suppose -4*q - 3 + 37 = m, -4*q = -c*m - 44. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 48*w**3 + 4*w**4 - 48*w**3 - w to a + l*w**2 + g*w + d*w**4 + r*w**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32.94 - -0.06. Let x = j - 31. Put x, 2\/3, 1 in decreasing order.\nAnswer: x, 1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2555*d + 1996*d - 7821 = 3584*d - 45108. Let m(i) = i**2 - 5*i - 6. Let z be m(6). Solve z = d*a - 5*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3630*f + 1814*f + 1817*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3581833a + -1?\nAnswer: -35818340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 10*l**2 + 21*l + 8. Let o be q(-5). Solve -153*u + 146*u = o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = 156. What is the remainder when a is divided by 4\/(3\/(21\/112))*0 - -18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -12, -18, -24, -30?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -884, -1684, -2492, -3308, -4132, -4964?\n\"Answer: -4*o**2 - 788*o - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 4*(sqrt(171) - sqrt(171)*-2))\/sqrt(9).\nAnswer: 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024619174 to 6 dps.\nAnswer: -0.002462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 - 8*s - 3. Let g(y) = -y**3 - 7*y**2 - 15*y - 5. What is 3*g(j) - 5*k(j)?\nAnswer: -3*j**3 - j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 43. What is the remainder when 140 is divided by o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 7.4711095\nAnswer: 0.74711095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3148, 13771, 31476, 56263, 88132, 127083?\n\"Answer: 3541*j**2 - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5396999.\nAnswer: 701, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/5*((-92)\/8)\/23?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, d: 13}. Give prob of picking 2 d.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgg when three letters picked without replacement from {t: 3, g: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**5\/180 - 85*t**4\/72 + 3*t**2 - 45*t. Let m(n) = 0. Calculate n.\nAnswer: 0, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - sqrt(176)*-4)*-5)**2.\nAnswer: 110000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95682941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1386 divided by -693.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.44852026 to one decimal place.\nAnswer: 21.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 37 + 3888238*n**2 - 3888240*n**2.\nAnswer: -2*n**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 444, 903, 1378, 1875, 2400, 2959, 3558, 4203?\nAnswer: 4900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1)*(9 + 0). Let t = -18 - y. Let m = -287671 + 862984\/3. Is t greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 30 = 5*t. Let r(l) = -t*l + 12*l - 3*l. Let z(j) = 18*j. Give r(z(w)).\nAnswer: 54*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -450?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19343\/30 - 1955\/3. Calculate the common denominator of f and 6\/27 - 58\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*m)*(-64*m + 81*m - 138*m) + m**2 + 3*m**2 - 3*m**2 in the form p*m + b + q*m**2 and give q.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 84290184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q + 0*q**3 + q + q + 3 + 6*q**3 in the form w*q + h*q**2 + m*q**3 + y and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2147312, 4294623, 6441934, 8589245, 10736556?\nAnswer: 12883867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -318 - -537. Let g = 218.871 - q. Round g to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b - 2*b - 3*b - 5*b + 5*b - 2*b + (-1 - 2 + 2)*(2*b + 2*b - 2*b) - 2*b + 3*b + b + (-382 - 150 - 1294)*(3 + 2*b - 3) to the form s + t*b and give t.\nAnswer: -3653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f + 18. Determine b(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 5*r**2 + 5*r - 3. Suppose 7 = 4*x + 31. Let d be s(x). Let k(m) = m**2 + 136*m - 1152. Let n be k(-144). Solve v + 4 - d = n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1107, 2197, 3269, 4323, 5359, 6377, 7377?\nAnswer: 8359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 643 + 7*n**2 + 5*n**2 - 643.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1990900 - 1990886 - 11*h**2 + 3981786 - h**2 + 10*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10\/3 - 3. Suppose 2*q + 2 = 4*s, 4 = 2*s - 0. Put -1\/3, l, q in increasing order.\nAnswer: -1\/3, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1102020222 (base 3) to base 9\nAnswer: 42228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 670b?\nAnswer: -6711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q - 6915550 = 40*q + 7245450. What is q rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 1\/(-3)*-9. Suppose -2*f + 174 = -g*f. Let h = f - 38. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 2*c**2 + 0*c**2 + (-c + 4 - 4)*(2*c - 4*c - 5*c).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (116\/(-12) + 5)*-3. Let y(d) = -f - 1 + 14. Let i(v) = v**2 - 7. Determine 3*i(j) - 21*y(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -222.1 - -222. Which is the nearest to x? (a) 1\/6 (b) 4\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490863.\nAnswer: 3, 163621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2. Suppose -b - d - 8 = 0. Is (4\/(-6))\/(b\/855) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*b, 2*b - 14 = -2*m + m. Let l be m\/3 - 16\/12. Suppose 49*u + l = 52*u. Sort -1, u, -2.\nAnswer: -2, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 37*d - 58*d - 23, -2*u = -3*d - 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110110000011101 (base 2) in base 13?\nAnswer: -57346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004314313 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 22*w**3 - 6*w**2 + 11*w + 12. Let f be d(-12). Round f to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 11*m - 45. Suppose -8 = 7*b - m*b. Does 26 divide (b - -1) + 158 + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.287933 decades to months.\nAnswer: 634.55196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6 - -7) + -3 - 3) + -4 - 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-24))\/((-4)\/32))\/((-4058 - -28)\/65)?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.1896?\nAnswer: -0.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13938 and 1104?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (198\/21)\/((-22)\/(-36498))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 114\/(-12))*(2 + 1 - 31)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4ad9e (base 15) to base 7\nAnswer: 2014511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 76*o**3 - 532*o**2 + 790*o - 5524. Determine i(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/33 - (4\/66)\/((-84)\/2650473). Which is greater: c or 1913?\nAnswer: 1913","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g**5\/11 - 354*g**4\/11 - 3370*g**3\/11 - 4182*g**2\/11 - 1156*g\/11 = 0. What is g?\nAnswer: -17, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -340 (b) 5 (c) 2605\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r - 18. Let z be (-710)\/80 - 4\/32. Determine a(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8080 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16544397 is divided by 244.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3165 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162181.\nAnswer: 157, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -654 + 1059. Suppose -31*f - i = -36*f. Let k(y) = y**2 + 14*y + 58. Let m be k(-7). What is the greatest common factor of f and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 + 96. Sort -3, 4, -5, y in decreasing order.\nAnswer: 4, y, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/sqrt(3) + -4 + (sqrt(2187)*4 + sqrt(27))\/sqrt(9).\nAnswer: -4 + 41*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 84b (base 16) to base 4\nAnswer: 201023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y. Let b(i) = 99959*i + 30. What is b(l(v))?\nAnswer: 99959*v + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (0 - 7 - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 460253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - b. Let a(p) = -2*p**3 - 6*p**2 - 2*p. Let y(z) = a(z) - 4*j(z). Suppose -3 = -5*f + 22. Let m be (-12)\/(-15)*f\/(-2). Determine y(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, g: 6, x: 7}. What is prob of sequence ccgx?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*-1*(-156)\/(-2925)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -356 + 391 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -281*(0 + -1) - 1. Suppose c = -0*b + 3*b - 2*k, 185 = 2*b - 3*k. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 1\/4*y**4 + 4*y**2 + 11\/3*y**3 - 7*y - 14. Calculate the remainder when 47 is divided by b(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1*w\/w**6*w**(3\/7)*(w*w**(1\/2))\/w assuming w is positive.\nAnswer: w**(-43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 7*q + 4. Let o be l(7). Suppose -h = -2, -o*h + 0 = 3*p - 8. Let b be ((-8)\/4 - -3) + -2 + 3. Solve b*m + m = p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nny when three letters picked without replacement from {y: 12, n: 3}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1058 and 400724906?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 10*f**2 - 11*f - 4. Let q be n(-11). Let w be q - (0 + -2 + -1). Let i be (w - 1) + (-21)\/(-15). Which is greater: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6310, 12586, 18852, 25114, 31378?\n\"Answer: o**3 - 11*o**2 + 6302*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-118 - -126 - ((3 - -26) + -2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-9 - 1))\/((-89)\/(-267))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13986 and 179124?\nAnswer: 417538044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + (5 - 2))*(7 - (22 + -15)). Solve c = -4*n, -5*i - 18 = n - 28 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*l - 48, 5*b = 24*l - 27*l + 64. Calculate the greatest common factor of 156 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208816*f**4 + f**3 + f**2 + 121740*f + 1 wrt f.\nAnswer: 5011584*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 1:55 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 7*q**2 + 6*q - 4. Let s be i(6). Let u = -106 - -116. Suppose l = 0, -3*l = 5*d - 6*l + u. Which is the closest to -1? (a) -1 (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 43841068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -30836.8 * -14\nAnswer: 431715.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (672\/40)\/((-207)\/(-276)*2\/(-5)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.69 + -0.59. Let q be (2 + (-3)\/3)*-4. Let j be q\/1 - 3\/3. Which is the biggest value? (a) -0.3 (b) z (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 8*d - 35. Solve 0 = -f - d*z - 19, -3*f - z - 2 = 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 7291.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*t = 70*t + 910. Is t a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.2 and -37065813?\nAnswer: 37065814.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2. Let s(z) = 176*z. Let i(p) be the first derivative of -25*p**2\/2 + 5. Let y(o) = 22*i(o) + 3*s(o). Calculate y(h(u)).\nAnswer: -66*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -199 - -204. Suppose 4*w + 2*r = 40, -4*r = -l*w - 12 + 49. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8 - 13\/4. List the prime factors of 104\/13*(-11)\/q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let a = -2 + 3. Let n = a + 1. Let j(b) = -b**n + b - b. What is j(v(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**3 - 4*x**2 + 2*x + 3. Let o be m(3). What is the highest common divisor of o and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721099321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 7780*j + 417968. Calculate b(53).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073993059 rounded to five dps?\nAnswer: -0.07399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*28.6987\nAnswer: -43.04805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7321 - -18.32163?\nAnswer: -7302.67837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 1302.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/8940 and 73\/2980.\nAnswer: 8940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**8*(g*g*g**(-3\/8))\/g*(g*g*g**(1\/4))**(2\/15) assuming g is positive.\nAnswer: g**(357\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h - 4\/5*h**5 + 16\/5*h**4 + 8\/5*h**2 + 0 - 4*h**3.\nAnswer: -4*h**2*(h - 2)*(h - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21928 - 21925.4027. Let x = 2.6 - m. Round x to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 6*w = 9. What are the prime factors of 8\/6*(-648)\/(-7 - w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2312*p = 2314*p - 6. Let i(q) = 22*q**3 - 4*q**2 + 6*q - 9. What are the prime factors of i(p)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4254.\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a century in years?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (42 - (-67 - -63)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 4, -2, 6, 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 90 = 5*y - 7*m + 2*m, -79 = 3*y + 4*m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.911 - 0.089. Put -1, -0.4, i in descending order.\nAnswer: -0.4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*w = -58 + 64, 0 = -5*a + 10*w - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let j(u) = 8*u - 18*u - 2*u. Give d(j(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 114 + -92. Let c(r) = -r**3 - r**2 - 4*r - 2. Let y be c(-1). Suppose y*q + 23 = 5*u, -2*u + 4*q + 25 = u. Solve -4 = 2*m - u*j + 4, -m + n = 5*j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 0*w**2 + 2*w**5 + 16*w**3 - 2*w**2 - 10*w**2 + w + 12*w**4 - 19*w = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/2)*h))**(-42)*h*h\/((h*h**(-3\/4)*h)\/h)*h**(2\/7) assuming h is positive.\nAnswer: h**(645\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220120 - -220111?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-22) + 55322\/1529. Solve -8 = 28*q - s*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100122011200 (base 3) to base 6\nAnswer: -4022030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p - 9. Suppose -2*m - 16 = -24. What are the prime factors of o(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than or equal to 129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(4\/(408\/9)). What is the greatest common divisor of 85 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409619 is divided by 890.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8593947?\nAnswer: 3, 19, 29, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + v - 22*v**3 + 12 - 4*v.\nAnswer: -22*v**3 + 3*v + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 r, and 1 p when three letters picked without replacement from erpvoevvpeppvvearpe?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 371989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 7*f = -14. Let g be (-2)\/((-1 - (-5 + 3)) + 1). Let t be (-10 - g)*-1*(-4)\/(-12). Solve -f = t*i - 4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 3. Let w be r(-6). Let c be 0\/(w + -2 + 0). Let j be 2\/(0 - (-1 + c)). Do j and 2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-28)\/21)\/(2\/(-6)). Let i = 4 + -1. Solve -j = i - y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 25?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10477138 is divided by 116.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*n - 45*n - 5*t - 277, -t = -4*n + 341. Which is the second biggest value? (a) n (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-413)\/140 + (-14)\/(-8) + (-196)\/20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181815 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlt when three letters picked without replacement from tllllltl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 13*r + 9. Let z be (-2)\/6*(-2 - 235). Let i = z + -72. What is the remainder when v(i) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**4\/7 - 247988*c**3\/7 + 76134024*c**2\/7 - 7774160112*c\/7 + 264465768096\/7 = 0.\nAnswer: -62303, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 7:24 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5*(sqrt(405) + sqrt(405) + 1) + 0 - 2*(sqrt(405) + 1)**2*3).\nAnswer: -2440 - 198*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.41 - 0.41. Which is the nearest to 3? (a) 2 (b) -217 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 2*x + 13. Let f = -9 + x. Suppose -6\/5*k**5 + 2\/5 - 14\/5*k**f + 2*k + 12\/5*k**2 - 4\/5*k**3 = 0. What is k?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1203020 and 4270721.\nAnswer: 85414420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7255 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, r: 11, h: 1}. What is prob of sequence xrh?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 7*z + 36. Suppose -24*a = -33*a - 36. What is the smallest common multiple of 6 and r(a)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -33*w - 1. Let h be p(-1). Let i = 8 - 17. Let b = h + i. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqkczok. Give prob of sequence cq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42073, 61266, 80459, 99652?\n\"Answer: 19193*v + 22880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - z**4 - 1 + z**3 - z**3 + (0*z + 5*z - 3*z)*(-3*z**3 + 5*z**3 + 0*z**3) + 27 - 27 - 6*z**4 + (0*z + 5*z - z)*(-2*z**3 + 0*z + 0*z).\nAnswer: -11*z**4 + z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 214750, 214740, 214720, 214684, 214626?\n\"Answer: -q**3 + q**2 - 6*q + 214756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229013 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29475.761 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8545701 litres in millilitres?\nAnswer: 854.5701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 - 77415*r - 25 - 23 + 33 + 38)*(0*r**2 + 2*r**2 - 4*r**2) as o*r + w*r**2 + z*r**3 + i and give z.\nAnswer: 154830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 67\/(465\/(-5704) - (-2)\/16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 17*r**2 - 11*r - 13. Let m be d(-6). Suppose 5*s - 990 = m. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323828 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 + 298*b + 4370. Calculate g(-13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1286669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*y = -228, 183 = 3*r - y - 0*y. Calculate the highest common factor of 150 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/6)\/((-3)\/414). Let g = y + 220. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/11)*s\/(s**(7\/4)\/s)*s*s*s**12*s**(-6) assuming s is positive.\nAnswer: s**(371\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**3\/7 - 162*v**2\/7 - 3198*v\/7 + 3362\/7 = 0?\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5))**(-44)\/(p*p**6*p**(1\/3)\/p*p*p) assuming p is positive.\nAnswer: p**(139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + 90. Suppose -3*r + w = -17. Calculate the greatest common factor of r and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(-3*sqrt(1440)))\/((2*sqrt(180)\/sqrt(5))\/sqrt(6)).\nAnswer: -sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - 6*g - 3. Let j be i(-2). Is 8*(201\/(-2))\/j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2996 + 1978. What is the remainder when g is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + b)*(-4*b + 0*b + 3*b) + (b - 3*b + 4*b)*(-4*b - 4*b + 6*b) + (-3*b + 4*b + 2*b)*(-2*b - 3*b + 6*b) + 3*b**2 + 0*b**2 - 4*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 27 - 14*r**2)*(-5*r + r + 2*r) - 2 + r**3 + 3 - 8 as b*r**3 + a*r**2 + q + o*r and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9465 + 5137 = -289*t - 754*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*l + 3*c = 232*l + 3, 2*c = -4*l + 30 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 0*r**4 - 6*r**2 - 1\/330*r**5 + 0 + 0*r**6 + 0*r + 1\/1155*r**7 + 0*r**3. What is k in n(k) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/5 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 62, -0.3, 1\/2, 0, 0.12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22160 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 309 and 3870?\nAnswer: 398610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/864 and -71\/3888.\nAnswer: 7776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1176*x - 1172*x + z = -11, -5*z = -21*x - 109 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 2*i - 8. Let c be w(5). Suppose z - 1400 = -2*q, 2*z + 3491 = c*q - 2*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 4:55 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1769 - -1756. What is the closest to 1\/12 in 1, -2\/7, -5, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2019 + 2271 = -21*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150\/(-105))\/((-10)\/(-35))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.22? (a) 2 (b) 4 (c) -5\/4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13577*x**5 + 7625*x**2 + x.\nAnswer: 814620*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 406732 and -89 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2437, 11.\nAnswer: 1, 11, 2437","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o - 35851 + 35433 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2. Let j(w) be the second derivative of -w**3\/6 + 8*w. What is c(j(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 55*i**2 + 282*i - 288. What is m(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/9055?\nAnswer: -2\/9055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 32*x - 3. Calculate h(-1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5 + 5 - (1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjajjjajjjaajjjjjjjj. Give prob of sequence jaj.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/2)*v**2*v**4\/(v*v*(v*v**(-2))\/v))**(-15) assuming v is positive.\nAnswer: v**(-225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 2*o**3\/3 - 19*o + 2. Let l(v) = -7939*v - 2*v**2 + 7939*v. What is l(z(w))?\nAnswer: -8*w**4 + 152*w**2 - 722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -8, 4*k + 11*f = 12*f + 14. Solve -u - 192*t = -195*t + 4, -5*u = -k*t + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579468873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-66)*1)\/(21\/6)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 16*r**3 + 42*r**2 - 16*r - 42 = 0.\nAnswer: -21\/8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*((sqrt(90)\/(-3*sqrt(5)))\/sqrt(6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 2*s**3\/63 + 491*s**2\/21 - 1972*s\/21 - 5088. Determine n so that q(n) = 0.\nAnswer: -493, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009125?\nAnswer: 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1899544 divided by -19?\nAnswer: -99976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 719991 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojaididaad. Give prob of picking 1 i and 3 a.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a factor of 420258108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2558 = -2555. Let d(v) = -3*v - 3. Let f be d(-3). Solve r*h = 5*h + f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (11 - 21 - -11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*j + 128, q - 3*j = j - 54. Let g = 7 - -21. Let a be (4\/(-5))\/(g\/q). Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215417131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -57\/5, 2\/39, 5, 0 in descending order.\nAnswer: 5, 2\/39, 0, -2\/9, -57\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154661.\nAnswer: 13, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 55098.9km in centimeters?\nAnswer: 5509890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -3)\/((-1)\/6). Let w be (n + 3 - -6) + 1. Solve 5*u + m = 5*m - 7, -4*m + 8 = -w*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/12 + (-75)\/(-18). Suppose 0 = 18*w - 13*w. Sort f, 15, w in increasing order.\nAnswer: w, f, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 8*n - 80 = 0. Let s = -2 - -1. Let a be 2*5\/(-2)*s. Calculate the greatest common divisor of a and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*185\/(-20)*-2 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/62770568 and -95\/188.\nAnswer: 62770568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*c*l**3 - 62*c*l**2 - 7925*c*l + 12*c + 3*l**3 - 24*l**2 - 14*l wrt l?\nAnswer: 72*c*l - 124*c + 18*l - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.699851 to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3401*o**3 + 6*o**2 + 11*o + 30. Let a be z(-5). What is a rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxo when four letters picked without replacement from xoxxxxvxxxoxxxooxvo?\nAnswer: 275\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 62b8?\nAnswer: -62b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**4\/4 - 25*s**3\/2 - 16*s. Solve q(z) = 0.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2553 less than -0.1?\nAnswer: 2552.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -415\/126 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(612) + ((2 + sqrt(612))*2)**2.\nAnswer: 84*sqrt(17) + 2464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + 2*(-5*sqrt(209) + sqrt(209)) + sqrt(209))\/sqrt(1584).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 2*d**2 + 4*d - 3. Let j be g(2). Find the third derivative of 659*n**2 + 3*n**5 + n**j - 624*n**2 wrt n.\nAnswer: 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 10:32 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 490 to the nearest ten.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -1 - (-60)\/135. Let h = -1\/9 + p. Let a = h + -5\/6. Sort 1, a, 2 in decreasing order.\nAnswer: 2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(112) + 1)**2 - (-2 + sqrt(63) - sqrt(63)*-3)) + -5.\nAnswer: -12*sqrt(7) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 7016 and 2111796\/301 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 8:06 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 102 - 96 = 0. Solve 0 = -r*n + 13*n - 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3525 = 5*i, 4*r + 8*i + 7125 = 13*i. Let m = 2516 + r. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 13*n**2 - 8*n + 66. Does 84 divide f(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -23. Suppose -5*y + 178 = -0*y - 2*p, -3*p - 69 = -2*y. Suppose -10*n = -t*n + y. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -723500 rounded to the nearest ten thousand?\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -19371775*w. Let c(f) = 4*f. Give j(c(n)).\nAnswer: -77487100*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0*2\/4)\/(-18 + 21). Solve f = -26*m + 31*m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206008, 206002, 205996?\nAnswer: 205990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvq when three letters picked without replacement from qstvqqvvsvbsjqqbbbq.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-25)\/20)\/((269745\/5992)\/(-15) - -3) is divided by 109.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + (-2 - -3) + -2. Let k be (3 + l)*(2 + -3). Suppose k*p - v = 40, -68 = -4*p + 2*v + 3*v. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 2750.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from {g: 12, n: 6}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5245*(-1)\/(-4) - (-34)\/(-136)?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 + 43. Let y be (2 - (-8)\/1) + c. Find the second derivative of -y*b - 2*b**5 + 10*b**5 + 15*b wrt b.\nAnswer: 160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 17*f**2 - 12*f - 87. What is the lowest common multiple of j(18) and 606?\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648*j**3 + 680*j**3 + 1023*j**3.\nAnswer: 2351*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 + -73. Suppose -n = -5*q + j, 6 = -0*q + q - 5*j. Solve -q*v + 3*v + 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186313819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 r when three letters picked without replacement from lslsslrrlrlls?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(8\/1100)\/(2\/(-10)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + -6*(sqrt(7) + 0 + sqrt(63) + 4 + 3*(sqrt(7) + -1 + -3))).\nAnswer: -43 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) 9102 (c) 23 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 424547 = -424412. Solve s - 45 = 6*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85934579839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 4:30 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 10 - -27) + 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.8917477 nanoseconds?\nAnswer: 0.00000000000080326325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 + (4 - -6 - 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1861 + -1861. Suppose -i = -4*u + 6 - 28, -2*i - 3*u = 11. Sort i, z, 3, -6.\nAnswer: -6, z, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x - 1. Let f be w(1). Let g be (-4)\/(-8)*(1 + -3 + 48). Suppose 2*r + r = -5*i - 29, -g = 2*i + 5*r. Sort i, 19, f in decreasing order.\nAnswer: 19, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -225, -954, -2117, -3666, -5553, -7730, -10149, -12762?\n\"Answer: 8*d**3 - 265*d**2 + 10*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6.3. Let n = 8 + -7.862. Let w = 0.238 - n. Which is the third biggest value? (a) w (b) 2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 2. Suppose 48*g = 52*g - 8. What is the least common multiple of g and b(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 s, and 1 v when three letters picked without replacement from {e: 1, r: 3, l: 6, s: 1, k: 3, v: 3}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 - d**2 + 2*d + 2. Let z be b(-1). Solve z*p = -0*v - v + 11, -10 = v - 5*p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 6*s - 174. Solve -17*l + 12*l = s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v. Let s(g) = 297*g**2 + 88. Let q(c) = -17*c**2 - 5. Let h(i) = -i**2 + 7*i - 5. Let b be h(5). Let m(u) = b*s(u) + 88*q(u). Calculate m(l(y)).\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/15208 and 37\/12.\nAnswer: 45624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 - 174536.\nAnswer: -174557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + m - 2. What is j(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 0 + 2*s + 3 - s**2 + 2*s. Let x be o(4). Is (-1)\/x - 76\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.9 + -5. Let o = 1.5 + a. What is the closest to -1 in -0.5, o, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -0.6641978.\nAnswer: -1.0641978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = -4*h + 22, -3*q + 22 = 5*h. Let n(w) be the third derivative of 0*w - 14*w**2 - 1\/12*w**4 + 0 + 1\/60*w**5 - 1\/6*w**3. Give n(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-8)\/14)\/(22\/(-385)) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 173*u**2 - 19*u - 1. Let g be j(1). Suppose 10*p - 1447 = g. Is 53 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, a: 2, u: 2, y: 1, j: 4}. Give prob of picking 1 y and 2 j.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -13\/4 (b) -2\/43 (c) -1 (d) -2\/3 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 969 and 32737?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (312 - (-3 - -2 - -2)) + -2. Suppose 0 = -8*p + j + 643. Calculate the remainder when p is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 18*r = -4*g, -5*g - 2*r = 28. Put g, 39, -1, 1 in descending order.\nAnswer: 39, 1, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 75005 + -17656?\nAnswer: 55127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 + -125\/2. Find i, given that -1 + i**2 + h*i**3 - 1\/2*i = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 40. Let q(p) = p**3 - 2*p**2 - p - 9. Let m be q(5). Let f = m - h. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*x - 4 + 2 + 0 + 34*x to the form c*x + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 - o + 29. Does 23 divide j(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*d = 6*d - 132, 66 = 2*c + 3*d. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 282.1 + -310. Let p = k + 28. Which is the second smallest value? (a) 13 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82270 + -29271. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -199488?\nAnswer: 1\/16624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -110*f - 1102. Let u be i(-10). Let g(a) = -16*a**3 + a**2 - 5*a - 5. Let j(r) = -8*r**3 - 2*r - 2. Calculate u*g(m) + 5*j(m).\nAnswer: -8*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 29 and -32502326.\nAnswer: -32502297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 - 66. Let u be (-20)\/35 + 160\/l. Suppose 0 = 5*h - 3*h + u. Which is smaller: h or -3\/4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + 2*x)*(-1 + 1 + 2)*(16*x + 5009 - 2623 - 34*x + 11*x).\nAnswer: -28*x**2 + 9544*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*n + 6 - 1, -3*o + n = -13. Let f(r) = -6*r - r**3 + 0*r**o + 5*r**2 + 0 - 4 + 2*r**2. Calculate f(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/(-3) - (-1 - -2). Suppose 3*w = 2*w + 2*j - 6, 3*j - 8 = 2*w. What is the highest common factor of c and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 20450 - 16801 = 0. Is 26 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 532, 2153, 4862, 8665, 13568, 19577, 26698, 34937?\nAnswer: 44300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 88 - 16. Let g be 3\/12 - y\/8. Which is the smallest value? (a) -3\/4 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 69 = -3*z + 247, -10 = -5*f. Is z a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-44)\/(c\/(c\/c**(-1\/3)))**(-7\/3) assuming c is positive.\nAnswer: c**(-403\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 6000.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2. Let g(c) = -4*c**2 - c - 1112. What is g(b(w))?\nAnswer: -16*w**4 - 2*w**2 - 1112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -219 - -221. Let q(i) be the first derivative of 0*i + 5 - i**3 + 0*i**w - 5\/4*i**4. What is the third derivative of q(l) wrt l?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 31967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 13. Let j be a(-6). Let o = -45 + 78. Let f = o + j. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 8. Is 606\/9 + t\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051348 - 2232480?\nAnswer: -2232479.948652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3765 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c84 (base 16) in base 11?\nAnswer: -25032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1432 and 311818.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 650*d + 218*d - 5844 = -596*d - y, 3*y = -36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yryyrjyjrybyytyyy. Give prob of picking 1 y and 1 r.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 9*y**2 + y**3 + 26 + 5 + 0 + 4*y**2 + 2*y. Let r be o(-13). Solve -5*c - 17 = n, -r*n - 9 = 4*c + 13 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -4.1. Let q = 19\/46 - -2\/23. Let d = 14 - 13.6. What is the nearest to 2\/7 in m, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1530 and 5?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 27. Suppose -5*l - 2*p = -20, 4*p = -5*l + 6*p. Suppose 135 = x + l*x. Calculate the remainder when x is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-18))\/((26\/16)\/(12337\/11388)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5037500*y**3 - 112*y + 88?\nAnswer: -30225000*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * -5356791.\nAnswer: 53567.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 289070537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5343 (base 7) to base 9.\nAnswer: -2533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 2:41 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-1 + 3 + 2 + 0 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2727917.02 to the nearest one thousand.\nAnswer: 2728000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80.84 + -63.6. Let a = 18 - i. Round a to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5531738 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 - 2*w - 3. Let y(r) be the second derivative of -1\/2*r**3 - 21*r + 0 + 1\/2*r**2. Let x be y(1). Give n(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/37, 38.96, -1.2 in increasing order.\nAnswer: -1.2, 2\/37, 38.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*m + 4*x, -m + 0*m - 4*x = 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3973 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: Calculate 1 - (11 - 5 - (-1 - -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -2\/253, -5\/4, -0.4.\nAnswer: -5\/4, -0.4, -2\/253, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 12, 4*j + 6 = 3*j + w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 298845479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by -141?\nAnswer: -53\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - 24. Let s = 64.911 + q. Round s to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28870 is divided by 175?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 9 + 10 - 1)*(-o**2 - o**2 + 0*o**2).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or -1821?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 36, 0 = 4*s + 3*l - 367 - 350. What is the remainder when s is divided by 147?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 7\/6*g**3 - 5*g**2 - 3\/8*g**4 + 1\/60*g**5 + 0*g + 0. Let y = -6 - -13. Determine k(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-64)\/8 - -264. Suppose 5*p = -0*p - w - 165, -5*w = p + 57. Let g = 64 + p. What is the highest common factor of g and a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1800 + -1813. Which is smaller: -99 or v?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2020690*v + v**3 - 2020690*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774990090?\nAnswer: 2, 3, 5, 7, 83, 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 172233.3 millennia in decades?\nAnswer: 17223330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-455 - -477) + (2 - (0 + 0)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**6\/15 - h**5\/20 + 29*h**3\/3 + 4*h - 5. Find the second derivative of v(y) wrt y.\nAnswer: 24*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166269 and 495786?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -133 (c) 3 (d) -2 (e) 2 (f) 382\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18915616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -101440*h + 6 - h**3 + 50720*h + h**2 + 50720*h. Let x(s) = s**3 - 2*s**2 + s - 7. Determine 3*q(a) + 2*x(a).\nAnswer: -a**3 - a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(348\/(-9))*-8*11\/132.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3551.4 rounded to the nearest 100?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -32420?\nAnswer: 32420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10229474 to the nearest integer?\nAnswer: 3198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -1\/35*s**7 + 0*s**6 + 0*s + 1\/6*s**4 + 5*s**2 + 0*s**3 + 0 + 0*s**5. Find the second derivative of u(d) wrt d.\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 j when three letters picked without replacement from zzfjmmahammfffh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 8*h - 11. Let f be c(-5). Suppose -6*u - f*b = -u - 13, 0 = 2*u - 3*b - 19. Solve u = -4*k - 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 5*w**4\/24 + w**2. Let s(d) = 2*d**2 - 4*d**2 + 0*d**2 + 0*d**2. Give i(s(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 + 157598*p**2\/5 - 3105035158*p\/5 + 3104247218.\nAnswer: -2*(p - 39397)**2*(p - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 8:01 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 6355.81.\nAnswer: -1271.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 5*c**2 + 4*c - 2. Let l(s) = s**3 + 4*s**2 + 4*s - 1. Let p(i) = 5*l(i) - 4*r(i). Let m be p(-2). Let a = 18 + m. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 107 - 74. Let v be (30\/(25\/(-5)))\/((-3)\/8). Suppose 14*h + 66 = v*h. What is the highest common factor of h and u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6662523287?\nAnswer: 7, 997, 136379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 4 - 5 + 3 + (4 - 4 - 1)*(6*g - 4*g - g) - 3 - 2*g + 3 to the form b*g + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i - 3*i**2 + 2*i**2 + 72 + 81 + 2*i**2 - 148. Suppose 3*h = -l + 17, 0*l + 5*h = 2*l + 10. Calculate o(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11*r**3 - 18*r**2 + 3*r + 3. Let k(a) = 10*a**3 - 17*a**2 + 6*a + 4. Determine 3*k(v) - 4*m(v).\nAnswer: -14*v**3 + 21*v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 411 + 267 = 0. What is the third smallest value in o, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 540 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -2121275?\nAnswer: 2121274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*z - 799 = 4*r, -87*z + 89*z - 3*r + 9 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*w**5 - 7*w**3 - 4*w**3 - 7*w**2 - 8*w**3 + 15*w**3 wrt w?\nAnswer: -240*w**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 8*z. Let r = -1 - -3. Solve z = r*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4560713 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 t when four letters picked without replacement from {x: 8, t: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x**2 + x - 1. Let l be b(0). Let n = l + -1. What is the second biggest value in -0.2, 0.3, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**5\/10 - c**4\/3 + 13*c**3\/6 + 2*c**2 + 27*c + 30. Give t(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-70)*-2942 - 8\/56. What is the highest common divisor of 30 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 7:59 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.98 - 1.32. Let i = d + -0.96. Which is the biggest value? (a) -0.5 (b) i (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 876*704525\nAnswer: 617163900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*v + 7, -44*d - 2*v - 42 = -48*d. Solve -11*b + 3 = -d*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 0.3, -0.4, -3\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22518\/5 + -4504. Let m be (-4)\/(-3) + 2\/6. What is the smallest value in v, m, -0.04?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13468 and 5957.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {q: 7, u: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -12, -2, 12, 30, 52, 78?\n\"Answer: 2*v**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125975178*p**2 + 131693488 with respect to p.\nAnswer: 251950356*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19936)\/(-832) + -24)\/((-2)\/4).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156 (base 7) to base 8.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 940 or -2539?\nAnswer: 940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = -o. Suppose -4*j + 1 = -3*j. Let b be 2\/(-3)*3\/j. Put o, -3\/5, b in increasing order.\nAnswer: b, -3\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 296481 - 149319. Suppose -c - 47619 = k. Let p = c + 324781. Round p to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1260 - -3424. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 17. Suppose 4*c + 2*k - k = 27, 3*k = c + d. Suppose 8*p**2 + 2*p - 2*p**4 - c*p**3 - 14*p**2 - p - 3*p = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211102020001 (base 3) to base 12.\nAnswer: -1933b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/75 and 119\/50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*j = 12, 0 = -5*g + j - 18 + 15. Which is greater: -2\/33 or g?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -14.4. Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3509 + 15508 = 0. Let j = n - -1432611\/226. Let y = j - -2153\/452. Find the common denominator of y and -85\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8 + 93\/4. Suppose -4*y + h = -13. Suppose 4*w - 46 = 2*w - 4*g, -w = -5*g - y. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 q when four letters picked without replacement from tqhwhqhqqqqhhwwwqwq?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 13\/((-11440)\/1152) - (-6)\/10?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3992 - -3997. What is the nearest to 2\/5 in 1\/5, 0, 15, d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*v**3 - 20*v**3 + 6*v - 15*v**3 + 2*v**2 to the form y + g*v**3 + s*v + w*v**2 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -26. Let v(h) = -h**3 - 12*h**2 - 3*h. Is v(c) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millennium in years?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lppk when four letters picked without replacement from {k: 4, l: 2, p: 2, b: 1}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -40. Let w = -1 - -11. What is the remainder when y is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 1573389.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**7\/70 + 3*v**6\/40 + 11*v**5\/20 - 3*v**4\/8 - 5*v**3 + 10*v**2 + 28*v. Solve l(o) = 0 for o.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 19 - 1 = 0. Solve -v*t - 15 = -5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 less than or equal to 314\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -47*x**3 + 87*x**2 - 45*x + 5. Let w(k) = -48*k**3 + 88*k**2 - 46*k + 6. Let l = 28 + -16. Let j = -14 + l. Let r(s) = j*v(s) + 3*w(s). Factor r(z).\nAnswer: -2*(z - 1)*(5*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4711*h + 4553*h - 2285*h - 2841*h)*(h + h - h).\nAnswer: -5284*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2820513?\nAnswer: 3, 23, 41, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 443187 and 1231075.\nAnswer: 11079675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-321)\/1284*(-43 + 1))\/3.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 671 divide 1540616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a meter in centimeters?\nAnswer: 1225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 2472*h + 19968.\nAnswer: -3*(h - 8)*(h + 832)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97861.3ug in nanograms?\nAnswer: 97861300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11650 and 1625?\nAnswer: 757250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r - 2. Let m be s(1). Suppose -3*v - v - 4*p = -708, m*v - 3*p - 701 = 0. Suppose v = 4*h - 2*l + 6*l, -4*h - l = -173. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**2*i**3*s**2 + 3*c**2*s - c*i**3*s - 3*c*i**3 + 22*i**3*s**2 wrt s?\nAnswer: -6*c**2*i**3 + 44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -186 - -200. What is the remainder when 20 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 842 - 842 + 856828*d + 993173*d.\nAnswer: 1850001*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.693 + -8.693. Suppose -6*v + v + 15 = 0. Which is the nearest to -0.09? (a) v (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 16*f**2 + 7*f - 15. Determine q(2).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -201 + 243. Calculate the least common multiple of f and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1976803\/1599192 - -1\/66633. What is the common denominator of k and -109\/10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 15*l + 35. What is q(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*j = -m + 12, -4*m - 96 = 4*j. Let c be (-4)\/m*(-65)\/39. Put 2\/13, 3\/13, c in decreasing order.\nAnswer: 3\/13, 2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.7 plus -907?\nAnswer: -924.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. Let k be q*-5*(18\/(-15) - -1). Let y(d) = -d + 2. Let l be y(0). Solve k*v + 4 = -l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-5*6\/120*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/75*(-100)\/(-8). Solve -2\/3*d - 2*d**3 + o*d**2 - 2\/3 = 0 for d.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -5*y**3\/3 + y**2\/2 - 143. Let n(t) = 14*t**2. What is n(k(s))?\nAnswer: 350*s**4 - 140*s**3 + 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(5225\/11) - (-9130)\/(-190)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/45)\/(-8)*-6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*o - 5*o - 36 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 38. Let w be (-48)\/28 + (-2)\/7. Which is the nearest to h? (a) w (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 216*i**3 - i**2 + 453 wrt i?\nAnswer: 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 1. Suppose -4 = 2*g - g - 3*m, -g - m = -w. Find h, given that -2*h - 2 + 4*h + 1 - h**g = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 2 (c) -50 (d) 296 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -31413.3 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 853762 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*c - 15, 0 = -3*c - 4*r - 16 + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 2\/17, -2\/5, 0.126, -3, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 2371807 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143995 - 313367 = 1249*i - 1267*i. List the prime factors of i.\nAnswer: 25409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.34718 and 0.7?\nAnswer: -0.243026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5060557.75 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2 - 2 + 24*p**2 - 28*p**2 to v*p + h*p**2 + b and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 28*u**2 - 21. Let n(j) be the third derivative of j**5\/60 - j**3\/6 - 36*j**2 - 2. Determine -42*n(s) + 2*z(s).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, o: 3, l: 2}. Give prob of sequence oaa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4330 and 6930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27453\/4 + -27459\/4. Let p = 0.2 - 0.1. Which is the third biggest value? (a) 4\/3 (b) p (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55028626?\nAnswer: 2, 17, 1618489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (360 - 32*m**2 - 360)*(-9*m + 16*m + 18*m).\nAnswer: -800*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 389*y**2 - 389*y**2 + (y**2 + y - y)*(0 + 2*y + 0))*(-3 + 3 + 2*y) - 59*y + 59*y + 16*y**4.\nAnswer: 14*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 + 306\/(-9))\/(-4*1\/(-118)).\nAnswer: -59\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v**3 + v**3 - 15*v**3 - 6*v + 3*v**3 + 6*v**2 - 3. Let n(c) = 4*c**3 - 5*c**2 + 5*c + 2. What is -6*n(m) - 5*o(m)?\nAnswer: m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/5 + 4547*k**4\/5 - 1872641*k**3\/5 - 1877187*k**2\/5 = 0. What is k?\nAnswer: -4927, -1, 0, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004812073 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(190) + ((sqrt(190) - 3*sqrt(190))*-2 - sqrt(190)))*2)\/(sqrt(40)\/(sqrt(20)\/sqrt(5)) - sqrt(90)*5).\nAnswer: -8*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -77. Let u be ((-8)\/(-12))\/(-2) - h\/9. Sort 10, -0.3, u in decreasing order.\nAnswer: 10, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1792\/5984 + (-18)\/153. Let s = -2.1 - -0.1. Let o = 2 + -5. Which is the third smallest value? (a) w (b) o (c) s (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -769*d = -589 + 26735 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*g - q, 3*g - 4*q = -q - 9. Let c(w) = 0 - 12*w + 2*w + g*w**2 + 2 + 1. What is c(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + z**2 - z - 1. Let r(v) be the second derivative of -3*v**5\/20 + v**4\/12 + v**3\/2 + v**2\/2 - v. Let o = 7 + -8. Calculate o*w(d) - r(d).\nAnswer: 2*d**3 - 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 27*k**2 + 76*k - 53. Determine h(24).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*v - 4799 - 3220. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50575953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 + 123*v - 33. Is 21 a factor of z(-71)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 152 + 310. What are the prime factors of k?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3030*h**3 + 4*h. Let t(z) = 536310*z**3 + 707*z. Calculate 707*n(o) - 4*t(o).\nAnswer: -3030*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -6) + (-1 - 8) - -12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173033?\nAnswer: 7, 19, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0094 or -76828?\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/118675 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - 1) + (-3 - -4) + 19.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-2 - 4) + 1 + 38. Let u = 40 - w. Let q(z) = 3*z + 18. Let t be q(-6). Which is the fourth smallest value? (a) 0.5 (b) u (c) t (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62997 (base 11) to base 4.\nAnswer: 112120313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 - 8)\/((-2)\/(-2897)). Let w = -8097 + y. What is w rounded to the nearest 100?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d = -5*a - 202, -2*a - 83 = 3*d. Let u = a - -22. Let f be 1 + ((-58)\/u - (-2)\/(-9)). Solve f*k = -26 + 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxk when three letters picked without replacement from akxxkxwkxk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 9*v**2 + 3*v. Let d be ((-4)\/(-2))\/(10\/25). Let o(y) = -2*y**3 + 14*y**2 + 5*y. Give d*o(i) - 8*q(i).\nAnswer: -2*i**3 - 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**4\/4 + 2*y**3 + y**2\/2 - 6*y - 29. Factor w(m).\nAnswer: -(m - 6)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w + 34 = k, -k = -w + 14. Calculate the highest common factor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 2) + 2 - (0 - 16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of 0*d - d**2 - 1\/24*d**4 + 1\/2*d**3 + 0. Let c(s) = -2*s + 3 + 0 + 4. What is -2*c(f) + 5*t(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -109.86 - -117.86. Which is the nearest to 8? (a) 2 (b) x (c) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/169, -2\/9, 0.8094, 2\/63?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 74814.38 weeks?\nAnswer: 45247737024000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121.1 - 540217.\nAnswer: -540338.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + 89*f**4 - 10*f - 57*f + 10*f**2 - f**3 - 90*f**4 + 5*f**2 in the form l*f**3 + d + y*f**4 + h*f**2 + r*f and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -d + k - 18, 0 = -4*d - k + 4. Let v = -0.22 - -5.22. Let l = -26\/57 - 4\/19. Which is the nearest to d? (a) 4\/3 (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.003596 microseconds in minutes?\nAnswer: 0.0000002667266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4*(sqrt(1539) - sqrt(1539)*1) + sqrt(1539) + sqrt(1539))*4*6)**2.\nAnswer: -4320*sqrt(19) + 3545881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 + (-1 - 417\/(-12)). Solve b - 8 = 4*o, -5*o = 4*b + d - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -7709279\nAnswer: -2\/7709279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/42 - (104\/(-28) + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2189, 4415, 6631, 8831, 11009, 13159, 15275?\n\"Answer: -n**3 + n**2 + 2230*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.327 times -24?\nAnswer: 103.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 2:39 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 319904261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*s + 3, 5*s - 5 = -p + 1. Let k be (-2 - -3)*p*13. What is the highest common factor of k and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55971 - 55967. Let x = -19\/12 - -109\/84. What is the closest to x in 0, 0.05, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a - a)*(0 - 4 + 3)*(-2 - 1 + 2)*(-72 + 18 - 163).\nAnswer: 434*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 53283 + 22317. What are the prime factors of u?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12322565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(4*b**3 - b**3 - 2*b**3)*(-3 + 4 - 6)*(76 - 37*b**2 - 76).\nAnswer: 185*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 i when four letters picked without replacement from {i: 9, f: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*q - 14. Let a(i) = i**2 - 33*i - 116. Let g be a(36). Let c be 86\/q + g\/(-20). Solve c = -6*n + 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8251377 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -199614 (base 10) in base 13?\nAnswer: -6cb1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 576 and 7296?\nAnswer: 21888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -69*f**4\/2 + 6083*f**2\/2 + 2464. What is the second derivative of v(m) wrt m?\nAnswer: -828*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-204)\/120)\/(((-104)\/(-728))\/((-2)\/(-7))).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.47 + -2.23. Which is the third smallest value? (a) 5 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -0.05, -2\/39 in descending order.\nAnswer: 4, 3, -0.05, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3785402, -57 in ascending order.\nAnswer: -57, 1, 3785402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and 16998.\nAnswer: -2039.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-270)\/(-8))\/((-5)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/3 + (-6)\/9. Let t be -2*b\/3 - 0. Find u, given that -8\/3*u - 2\/3 - 4*u**2 - t*u**3 - 2\/3*u**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/3 - 724*u**2\/3 - 718336*u + 393652032 = 0?\nAnswer: -1102, 732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 943 and 73636?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1 - 1 + y**2. Let l(s) be the third derivative of -s**4\/24 - 227*s**2. Calculate h(l(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-7 - (-9 + -6)) - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*g - 2. Let k = -9\/145 - -6769\/1595. Find the common denominator of (-24)\/(-9)*g\/33 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16473 to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-38)\/95*10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 125580792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(-3 + sqrt(2299)*1)**2*6.\nAnswer: -792*sqrt(19) + 27692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5 + 186*w**4 + 3165*w**3 + 16230*w**2 - 3168*w - 16416 = 0 for w.\nAnswer: -38, -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11615 - 10817. Calculate the least common multiple of n and 76.\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 11753478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 424830209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 - 26687*o**2\/5 + 1008691*o - 47827085.\nAnswer: (o - 26497)*(o - 95)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*(364\/21 + 6). What is the first derivative of 30*x + j*x - 115 - 22 wrt x?\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Let y(t) = -t**3 - t**2 + t + 1. Let i be y(0). Which is the third smallest value? (a) 0.1 (b) i (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -152*q + 153*q. Find the third derivative of 56*p**q + 44*p**3 - 8*p + 7*p**3 - 6*p**2 - 3*p**2 wrt p.\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1027570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4818*m + 19*m**3 + 68*m**3 + 2*m**2 - 4819*m as d*m + h*m**2 + t*m**3 + o and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94 and 24?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 217 + -213. Suppose -566388 = j*a - 8*a + 4*t, 424812 = 3*a + 4*t. What is a rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*y - 202*y = 2016. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406964*k + 406962*k - 813919*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2. Let m(n) = 47013*n. Calculate i(m(w)).\nAnswer: 2210222169*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-11172)\/3192*3\/(6\/4)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1 + -2*sqrt(125))**2 + (-5*(sqrt(405) - sqrt(405)*-1 - sqrt(405)) + 2)**2)*-1.\nAnswer: -10638 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*l**3 + 305 - 305.\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, x: 4, o: 3, d: 1, e: 9}. Give prob of picking 4 e.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -746*q**2 + 32829*q + 78. What is z(44)?\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 347, 510?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 2189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13*-27\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2144\/(-432) - (-2 + -3). Let o(z) be the third derivative of 4\/27*z**3 + 1\/270*z**5 + 0 + 6*z**2 + 0*z + p*z**4. Determine f so that o(f) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11ee + 510?\nAnswer: -bde","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.558838 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 192606 a multiple of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-1)*(-3)\/6. Suppose 0 = 18*w - 43 + 7. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-20) - 52\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-3 - 52\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -1363*f**7\/210 - 11*f**4\/3 + f**3 - 1903*f**2 + 2*f. Find the second derivative of t(d) wrt d.\nAnswer: -16356*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 21137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33284 - -15434. What is z rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (1 - -2) - (-1 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8860699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177674 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -427.3 + 427. Let v be (9 + -10)*(-3)\/(-18). What is the nearest to 0.1 in x, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**4\/8 - 28*p**2. Let v(d) = 10*d**2. Give v(b(r)).\nAnswer: 90*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -75*k + 122. Determine f(4).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by ((-204)\/(-18) - -2)\/(4\/6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26600 and 560.\nAnswer: 53200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 306893 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 320\/6)\/((-833)\/4998). What is the highest common factor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/145 and -87\/40?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/289 (b) -1\/20 (c) -48 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1214?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = -0*r. Suppose 0 = r*u - 7 - 38. Let o = 3 + u. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 3*o + 12. Let n = -53 - -48. Let c be r(n). Suppose -3*h + c*h + 3 = 0. What is the remainder when 5 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51*y + 251*y + 395*y)*(0 + 3 - 2)*(y**3 + 2*y**3 - 4*y**3) in the form n*y + b*y**2 + m + q*y**3 + x*y**4 and give x.\nAnswer: -595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20, -1067, -2888, -5449, -8756, -12815?\n\"Answer: -v**3 - 361*v**2 + 3*v + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45822358897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) - 580\/(-16). Suppose 2*g = 2*z - 6, -2*g = -4*z - 0*z + 12. Suppose u = -z*u + j. What is the highest common factor of u and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b8bc6 (base 15) to base 4.\nAnswer: -2033030220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d**2 + 83*d + 18. Let u be r(-14). Suppose -4*k - 52 + u = 0. Suppose -3*h = -4*h - 5*l - 11, -4*h = 5*l + 29. Is h equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/4 - 2*o**3\/3 + 2*o + 1. Let i(d) = 14*d**2 + 20*d. Determine -2*i(y) - 11*v(y).\nAnswer: 5*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -467?\nAnswer: 10\/467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 20. Let p = -2.05 + 0.05. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30*(-8)\/48)\/(5\/2). Let m(k) be the second derivative of -7*k + 0 + 2\/9*k**3 - 13\/30*k**5 - 11\/18*k**4 + 0*k**t. Factor m(o).\nAnswer: -2*o*(o + 1)*(13*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {w: 4, n: 16}.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = -3*d, 4*d - 7*d = -6. Is (0 - p) + -5 + 424 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -21)*(-2)\/(-2). Let n be (-4)\/(-2) - (1 - 1). Suppose -2*w = -m + n. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 5, -5 in decreasing order.\nAnswer: 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0 + 0*v + v**2 - 1\/6*v**3. Let t(k) = k - 5. Let q(o) = -o**3 + 9*o**2 - 7*o + 2. Let d be q(8). Give d*z(j) - 2*t(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 27 = -5*i + 43, 0 = 5*p + i + 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -370 + 370. Solve k = -i + 2*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 63?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-12 - -4 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9051, -9031, -9011, -8991, -8971?\n\"Answer: 20*b - 9071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38769?\nAnswer: 3, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.7 in 0.05, 11\/3, -1?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 956656699 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9172 - -14063. What are the prime factors of t?\nAnswer: 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2405 + 10*l - 11*l - 650 + 2085 - 574 as d + g*l and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i\/(i\/i**19))*i)**26*(i\/((((i**(2\/35)*i)\/i)\/i)\/i))**(-11) assuming i is positive.\nAnswer: i**(-16603\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -611 - -1634. Does 77 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + m + 207, -20 = 3*m - 29. Suppose -x - 19 = -2*x. Calculate the remainder when b is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -711288 by -1068.\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dpzppppzpzzpp. What is prob of picking 2 p, 1 z, and 1 d?\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -46 + (-68 - -12 - -135)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 1)*(3 + 3 - 5) - 381 + 1169 - 87 + 5522 + 1588)*(-5*i**3 + i**3 + 2*i**3).\nAnswer: -15626*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*c + 5*k, 19*k - 18*k = -2*c + 21. Solve -9*a - 1 + c = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11842287 at most as big as -11842287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.7. Put i, -5, 1 in descending order.\nAnswer: 1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*(-2*sqrt(187) + sqrt(187)) + sqrt(187) + sqrt(187)*-1*-6))\/(-3*(2*sqrt(704) - sqrt(704))*-3).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, -2, -39, -102, -197, -330, -507, -734?\n\"Answer: -d**3 - 4*d**2 + 2*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298699 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c - 29. Calculate q(-5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 18*o**2 + 179*o - 87. Is l(-34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-19) + 0 + 1215\/190 + -7. Sort -5, -3, q, 6, 5 in decreasing order.\nAnswer: 6, 5, q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 4:20 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {e: 2, r: 9, k: 3, t: 5}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -53*o**3 + o**2 + 2*o - 2. Let r be v(1). What is the tens digit of (-2)\/(r\/7310) + (-2)\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/1 + (9 - -3) + -4. Solve 3*x + 4*j = -31, 3*j - h*j = 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 5*w**2 + 5*w + 6. Let n be d(-3). Suppose -5*b + n = -4*l + 2*l, 2*b - 6 = 2*l. Solve -5*t = 2*g - 2*t + b, 3*t = 4*g - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from hhhhhhhhhhhxhhkgkgh?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -801*f**3 - 18*f**2 + 18*f**2 - 96*f**3.\nAnswer: -897*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -904289562657 and -212.\nAnswer: -904289562869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -497591, -995185, -1492779, -1990373?\nAnswer: -2487967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 33 = -3*c, 3*o + 2*o + 10 = 4*c for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j - 4*y = 747, 3*j - 4*y + 2257 = 0. Let i = 1071 + j. Is i a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9602?\nAnswer: 2, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x**(1\/3)\/x)\/x*x)**(-2\/33))**(-48) assuming x is positive.\nAnswer: x**(128\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 5:36 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 0*n**2 + 13*n**2)*(-n - 2*n - n) + 3*n**3 - 7*n**2 + n + 7*n**2.\nAnswer: -49*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 57 = 2*m. Let g = m - -20. Suppose v + g = 0, -4*l + 0*v - 2*v + 410 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1270*o - 5795 = 14525 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/(-34)*(-48)\/336 - (-2)\/17?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 5\/6*s**3 + 4*s**2 - 2*s - 3. Let g(x) be the first derivative of p(x). Find the first derivative of g(f) wrt f.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 435463 and 136.\nAnswer: 59222968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-342)\/45)\/((-210)\/25 + 8)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1)*20\/200.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -252457000 to the nearest one million.\nAnswer: -252000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -596.99488 + 597. Round q to four decimal places.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42.804 and 10.\nAnswer: 428.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0141 + -3.9859. Let i = 4 - 4. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 117\/4 + 2\/(-8). Let m(r) = -r + 241. Suppose 3*i + 4*g + 64 = 0, i - 5*g + 17 = -2*g. Let n be m(i). Calculate the highest common divisor of x and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 2887*d + 2173*d in the form c*d + x and give c.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2 - g**2 - 10*g - 5 - 3. Let t = 0 - 9. What is the units digit of v(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21979336 is divided by 418?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 465.8 - 466.2. Let s = -10.8 + 10. Let g = s - -0.3. What is the third smallest value in h, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97582 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23868307*u**3 + 9996578*u**2.\nAnswer: 143209842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 9:36 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -15*o + 20*o - 8, 5*y - 2*o = -14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -697.\nAnswer: 33\/697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 0*f**2 + f**2 + 4 + 7*f - 6*f + 2*f. Let q be p(-3). Suppose q*y = -39 + 6039. Round y to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 338862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (69\/(-115))\/((-28)\/10 + 3). Put 7, v, -24 in increasing order.\nAnswer: -24, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5\/6 + 20*d**4\/3 - 3861*d**3\/2 - 47303*d**2\/3 - 29834*d\/3 + 27636 = 0. What is d?\nAnswer: -126, -7, -2, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvoooocos. Give prob of sequence cvs.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6561 - 6549. What is the lowest common multiple of f and 112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 5*x - 222. Let g be ((-8)\/(-6))\/(-2) + (-24)\/(-9). Suppose -4*t = g*n - 54, 5*n = -0*t - t + x. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 4 + (-356 - -350).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of m**3\/3 + 9*m**2\/2 + 15*m - 2916. Determine a(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 - 3*k - 5*k**3 + 3*k**2 + 4*k**3. Let z(x) = -6*x**3 + 41*x**2 - 16*x. Let r(y) = 11*v(y) - 2*z(y). Determine r(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25229?\nAnswer: 25229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 7*c**2 - 4*c + 18. Determine j(8).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1245)\/498)\/(12\/(-18)*1*15).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44.39898602 + -633.60096228. Let b = s + 678. Round b to six dps.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/520)\/(160\/(-416)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**5\/8 + 1077*a**4\/4 + 13041*a**3\/8 - 1617*a**2\/2 - 8697*a\/2 + 3258 = 0.\nAnswer: -6, -2, 1, 724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1 - 3*g + g**2 - 1 + 6. What is the units digit of p(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1013743312 to the nearest integer?\nAnswer: 31839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, x: 1, q: 9}. What is prob of picking 1 q, 1 x, and 2 m?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 38 = -4*v. Sort 14, -2\/9, v in decreasing order.\nAnswer: 14, v, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14192518.\nAnswer: 2, 17, 23, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 242580?\nAnswer: 242580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2577 + 2717. Calculate the lowest common multiple of b and 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 10*r + 22. Suppose r*u + 2*c - 35 = 7*c, -4*c - 30 = -2*u. Let a(v) = -2*v - 19. Let j be a(-16). Solve w - i + j = 6*w, -u*i + 17 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -44544\nAnswer: -1\/22272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*c + 20*c + 22*c)*(-23 + 12 - 33) to z + g*c and give g.\nAnswer: -2596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (448\/(-256))\/((-2)\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15329 + 22215. List the prime factors of n.\nAnswer: 2, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u + 2*u**3 - 4*u + (4 + 1 - 4)*(-927 + 52*u**3 + 927) to the form h*u**3 + v*u + a + y*u**2 and give h.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v = 30*v - 27. Suppose 0 = -10*h + v*h + 27. Suppose -h*n + 561 = -24*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13871 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 18, c: 2}. Give prob of sequence lc.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -45 - -253\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * -0.27\nAnswer: 0.0513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10 + 16\/(-8))*1\/(-2). Determine j so that -6*j + 9\/2*j**2 - g = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/9 + 44*s**2\/9 - 5194*s\/9 - 5428 = 0.\nAnswer: -59, -9, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39631, -39636, -39663, -39724, -39831, -39996?\nAnswer: -40231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**5 + 88*m**4\/3 + 764*m**3\/9 + 424*m**2\/9 + 22*m\/3 = 0.\nAnswer: -11, -3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 7) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27823 + -27812. Let o = 2 + -1. Put n, 1\/9, -4, o in increasing order.\nAnswer: -4, 1\/9, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819563721 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 23*d**2 + 1\/120*d**5 + 0*d + 0 + 0*d**3 - 7\/48*d**4. Solve v(k) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.715\nAnswer: -2.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2 = -2*i, 4*i = 3*b - 2*b - 1. Let f(k) = -3*k - 35. Let l be f(-14). Let q = l - 2. Solve 0 = 2*a + b + q for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15756 is divided by 50?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -352*j**3*r + 52*j**3 + 24*j - 115*r**4 - r + 3 with respect to r.\nAnswer: -352*j**3 - 460*r**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rqqrqvqqrvrrvkrzqzrq?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let w(i) = -4676*i - 7. Determine w(v(p)).\nAnswer: -9352*p - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -6a7d?\nAnswer: 6a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 5*q - 3*q**2)*(3*q**3 + 0*q**3 - 7*q + 8*q).\nAnswer: -9*q**5 - 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*p = -4*h + 19, 0 = 3*h - 2*p + 19. Let t be (1 - 2) + (2 - h - 7). Does 7 divide (12\/t - -3)*-16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 2*v, -2*g + 6*v + 5 = 3*v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(2) - ((sqrt(2) + (sqrt(6)\/sqrt(3) - sqrt(2)) - sqrt(2)) + sqrt(2)) - sqrt(2)) - sqrt(7))**2 + 0 + sqrt(28).\nAnswer: 2*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h + 3. Let x be j(-2). Let t be (7\/21*x)\/(2\/6). Let o be t\/6*4\/(-5)*6. Solve q = 5*q - 4, -o*q + 10 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five halves of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6094 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.1 + 7.4. What is the fourth smallest value in -3\/7, 4, s, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a**2 - 299*a - 623. Give v(-21).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5232 is divided by 117.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + (0 - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**3*w**3 - 43*n**3 + 32*w**4 wrt w?\nAnswer: -3*n**3*w**2 + 128*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41602 = 3*z - 25*z. What are the prime factors of z?\nAnswer: 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m**2 - 23*m + 7. Let d(z) = 5*z**2 + 11*z - 3. Let l(c) = -11*d(c) - 6*i(c). Let h be l(18). Is h less than -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a*a**1\/a*a)\/a)\/a))**(-32)*a**(-1\/16)\/a**(-27))**(-26) assuming a is positive.\nAnswer: a**(1053\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 5. Let k be a(-5). Suppose -2*d + 31 = -d - 5*o, k*o = -5*d + 35. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*q - 50. Calculate the least common multiple of q and (262944\/(-1980))\/(12\/(-15)).\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(128) + 3 + sqrt(128))*-2 + 2*sqrt(1800))**2*-4.\nAnswer: -12832 + 2688*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93329 = -3*d + z, -4*d + 124446 = 1129*z - 1134*z. What is the ten thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - s - 1 + 4*s)*(-5*s + 2*s + 2*s).\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 18074536*t + 20418053225956.\nAnswer: 4*(t - 2259317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 9*i + 1. Is r(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 14 = -3*q + 3, 4*t = 5*q + 23. Solve -2*y + 8 = -4*k - y, 3*k + 17 = -t*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**5\/30 + o**4\/8 + o**3\/6 - 2*o**2. Let c(f) = 3*f**2 - f + f - 2*f - 1. Let h(l) = 3*c(l) + 2*d(l). Calculate h(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7548167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f = -8*f - 486 + 928 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 5\/4*o**4 + 0*o**2 + 5*o**3 - 20*o - 20 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*q + 38*q - 213 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.3 + -3. Let k = 6 + y. Let h = 0.5 + k. Which is the third biggest value? (a) 1\/2 (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (3 + 8)) + -28 + 33 + 120?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137934551.\nAnswer: 4583, 30097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19635949?\nAnswer: 19, 467, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*j = -1810 - 3712 + 1212 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -54*m**6\/5 - 126*m**5\/5 - 13*m**4\/3 + 56*m**3\/3 - 8*m**2 - m. Determine z, given that v(z) = 0.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 + 150\/(-12). Let y = 11 + v. Sort -5, 4, y in increasing order.\nAnswer: -5, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -427\/1740 - 2\/435. Which is the biggest value? (a) 0.036 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 - 215 = -2*h. Let f = -13 + 23. What is the greatest common factor of h and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + ((-1)\/3 - (-5)\/15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 - 4 - 2*c**2 + 3 + 7 - 3*c**3 as l + a*c + h*c**3 + t*c**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 162282 to the power of 1\/2, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q. Let w be h(1). Let b be (-4)\/((-8)\/(-3))*(-4)\/6. Solve 5*d - b = -w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, 94\/5, 152, 41, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 66 = -46. Suppose 4*l - 2*j = y, -3*l + 11 - 1 = -j. Solve -3*k = r - l, 2*k + 2*r = -1 + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -250, -378, -506?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.087 + -0.013. Sort 4, 1, 0, m in ascending order.\nAnswer: m, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from aacaajcacaaaacaaaajj?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10\/11, -12, -2, 771?\nAnswer: 771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 13*r**2 - 9*r + 40. Let c be m(-12). Suppose -c*k = 7*k - 880. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 49*v + 573 + 835 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 8934*q - 8933.\nAnswer: -(q + 1)*(q + 8933)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 3\/2059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1810\/(-724)*-28*1\/5. Suppose 0 = 2*v + 2*v. Suppose z = 7*a - v*a. Which is greater: a or 10\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**3*o**2 + 4*l**3*o + 44*l**3 + l**2 - l*o**2 + 2*l - 544*o**2 wrt l.\nAnswer: -24*o**2 + 24*o + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*b - 37*b + 360 = 0. Let y(c) = 2*c + 9. Let j be y(-6). Put -2, b, 0, j in ascending order.\nAnswer: j, -2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 6 - -6 - 4 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(105)*-1)\/sqrt(5))\/(sqrt(243) - 4*sqrt(243)) + -1).\nAnswer: -2*sqrt(7)\/27 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**3 - 20*g**2 + 20*g - 31. Let u(a) = 7*a**3 - 39*a**2 + 41*a - 63. Let z(h) = 5*i(h) - 3*u(h). Determine z(16).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**3 + 18*w**2 + 15*w + 25. Let z(q) = 6*q**3 - 19*q**2 - 16*q - 26. Let f(v) = -5*u(v) - 4*z(v). What is the tens digit of f(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:27 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyxiyxiyxyxxxx. What is prob of sequence xiyx?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/144*(-6)\/(-4)*(-96)\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 367, 4.\nAnswer: -4, 4, 367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12171 - -12270. Calculate the remainder when 8315 is divided by f.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 4*l - 3*l)*(-l**2 + 2*l**2 - 2*l + 0*l**2).\nAnswer: l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1566, -2864, -4160, -5454, -6746?\n\"Answer: z**2 - 1301*z - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.9, -4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10*(132\/30 - 4). Suppose -t*n = -19 - 89. What is the highest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78 + 90.8. Let x = s - 15.8. Which is the smallest value? (a) 2.2 (b) 4 (c) x (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 + 4 - 17\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 1264?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o + 0 - 9*o + 0.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 8*o**2 - 14*o + 53. Let s be j(7). Find c, given that 0*c**2 + 3\/5*c**5 + 0*c - 6\/5*c**s + 0 + 3\/5*c**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o = 4*w + 20, 5*o + w + 14 = 0. Let a be 53\/(-17) + (4 - o - 3). What is the biggest value in -3, a, -3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 19*i - 21. Let m be n(-18). Let k = -62 - m. Is k > -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**2 + 0*s**2 - 2*s**2)*(1173*s - 1173*s + 20*s**2).\nAnswer: 20*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2726*p - 203. Let b(u) = 27*u + 2. Determine -203*b(w) - 2*i(w).\nAnswer: -29*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/6 + 10*b**3\/3 - 3*b**2\/2 + b - 2746. Determine v(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1327175\/399588 + 1\/14271. Let p = 2239 - 15699\/7. Calculate the common denominator of p and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/7089, 0.4, -1, 0, 0.187 in increasing order.\nAnswer: -1, 0, 8\/7089, 0.187, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + (sqrt(396) - -2*sqrt(396)) - 1*(sqrt(11) + -2).\nAnswer: 2 + 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 3*q**5\/20 + q**4\/4 + 2*q**3\/3 + q**2\/2 + 14*q - 9. Give j(-3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 62\/(-70) - (-372)\/1302\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1536))\/((sqrt(96)*1)\/sqrt(8)).\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 337 = 7*u. Let b = u - -32. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, t: 7}. What is prob of sequence tm?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efou when four letters picked without replacement from {f: 1, e: 4, o: 1, m: 4, u: 3, h: 1}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -b + k - 30, -42 = -3*b - 3*k. Solve -19 = -4*v - 3*i - b, 5*i - 15 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.47289nm to kilometers.\nAnswer: 0.00000000008847289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11203445448.00000068 + -11203445683. Let x = y + 235. Round x to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 501 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.378038 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2696\/(-5055)*(-10)\/16\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1652 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 607 + -81946\/135. Let y = -803\/945 + n. Let u be (-6)\/9*12\/8. Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1433 - -1435. Let m = -9 - -16. Suppose m = f*b + 1. Solve -b*u = 9 - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, v: 1, g: 5}. What is prob of picking 1 i and 2 g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-23049)\/(-234) - 1\/(-2) is divided by 60?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 3*m**2 + 2*m - 2. Let c be z(-2). What is the smallest common multiple of (-30 + 22)\/(c\/4) and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 909, 915, 925, 939?\nAnswer: 957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n - 18 = 11*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {u: 2, a: 2, t: 1, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f1 - -5?\nAnswer: -1ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.91 - -13. Let o(x) = -14380*x - 129404. Let a be o(-9). Put 4\/3, f, a in increasing order.\nAnswer: f, 4\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1.04. Let y = 0.0399982 - n. What is y rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.952 - 0.212. Let q = -1.26 - i. Let k = -189 + 1325\/7. Which is smaller: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -10421?\nAnswer: -10424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 10*l - 21. Let m be (22\/(-33))\/((-1)\/18). Let h be t(m). Let -5 - 16 + 4*c**h + 20*c**2 + 1 - 4*c = 0. Calculate c.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 8, t: 3, x: 2, o: 1, d: 1}. Give prob of sequence jpd.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 4*t**2 + 6*t + 7. Let r be h(-5). What is the third derivative of 2*b**2 + 2*b**3 - r*b**3 - b**4 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -850\/7 (b) 1 (c) 3\/5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 452074a8 - 1?\nAnswer: 452074a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4158 divided by 2.\nAnswer: -2079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/7)\/(z*z**3*z)*z*(z\/(z\/z**(4\/3)))\/z*z*z**(-1\/11)*z)\/((z**(-1)*z)**(-21)\/((z\/z**1)\/z)**(-14\/9)) assuming z is positive.\nAnswer: z**(-41\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i**2 + 2*i - 24?\nAnswer: 6*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - m = 0, 5*m - 32 = -37 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**2 - 3*i. Let n(s) = -117*s**2 - 32*s. Give -2*n(f) + 22*x(f).\nAnswer: 146*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27118497208 take away -0.3?\nAnswer: 27118497208.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/2359 + 5373\/1545145. Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 + 40*s**2 - 15*s**2 - 11*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*z = 3*x + 4, 3*x = 3*z - 9. Suppose x*d - 112 = d + 2*n, 0 = -4*n. What is d rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(2)*-2)\/(sqrt(22)\/sqrt(396)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, -2\/321, -2\/5?\nAnswer: -2\/321","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.072427717 rounded to 1 decimal place?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 - 74. Let l be (-1)\/(3\/4)*(13 + o). Let n = l + 156. Calculate the highest common factor of 20 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/(t**(-2)*t))*t*t*t)**(-5\/7)\/(t*t\/(t\/t**(-3\/10)*t)*t*t*t**15\/t))**(7\/11) assuming t is positive.\nAnswer: t**(-1249\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*f**4 + 5 - 5 + (f**2 - 4*f + f - 2*f**2)*(-3*f**2 + 4*f**2 - 2*f**2).\nAnswer: 11*f**4 + 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56554*j**2 + 43498*j**2 + 18348*j**2.\nAnswer: 118400*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350, 358, 380, 422, 490, 590, 728?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23332, 22307, 21282, 20257, 19232?\n\"Answer: -1025*z + 24357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3347 + -3342. Let f(l) be the third derivative of 0 - 7\/12*l**4 - 7*l**2 + 0*l + 0*l**3 + 1\/60*l**m. Find the second derivative of f(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34\/10)\/(92\/(-460))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -315.7 * 32.635\nAnswer: -10302.8695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.3, 16, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65772 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**5 + 9714*t**4 - 29010*t**3 - 339792*t**2 + 378285*t + 679350 = 0 for t.\nAnswer: -5, -1, 2, 7, 3235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + w - 9. Let v be l(-12). Let f = -81 - v. Let b = f - 51. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -11 - (8 - 5) - -15. Which is smaller: 16\/149 or l?\nAnswer: 16\/149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -42. Suppose -v - 293 = -5*x + v, 54 = x - q*v. List the prime factors of x.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*x + 2345 = -4855 for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1871777, -1871768, -1871759, -1871750?\n\"Answer: 9*o - 1871786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2 = -2*q - 6, 5*q + 14 = x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 10. Let y = -2 - n. Let o be 1\/(-3) + 21\/9. Sort o, y, -1.\nAnswer: -1, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -697, -656, -567, -406, -149, 228, 749, 1438?\n\"Answer: 4*s**3 + 13*s - 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3 + (sqrt(704) - -1*sqrt(704)*-4 - sqrt(704)) + sqrt(704)*2 + -1)*-6*4)**2 + 5.\nAnswer: -33024*sqrt(11) + 1623870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -134 + 139. Suppose 277 = -14*w + 11*w - q*r, 0 = -2*r - 10. Let u = 261 - w. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104987917 is divided by 379?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:50 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let k(b) = 69*b + 4. Let s(t) = 104*t + 6. Let d(n) = -8*k(n) + 5*s(n). Give h(d(g)).\nAnswer: 32*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n + n**3 + 3*n - 18*n**4 - 37*n**4 - 2*n + 8*n as y*n + u*n**2 + o*n**3 + f + x*n**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 31*j**4\/4 - j**3\/6 + j**2\/2 - 5*j. Is 13 a factor of k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/126 - (-13340)\/70. Which is the nearest to -0.1? (a) m (b) 4\/9 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*21\/(-28)*40\/12?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2486845 divided by 85.\nAnswer: 29257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - 70. Does 2 divide (9 + 2)*((-20)\/(-4) - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -6 - (-4 + -2 - -28) - 33?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1257101*g**5 + 8545819*g**2 wrt g.\nAnswer: -75426060*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**(3\/11))*b*b)\/b**(-5))\/(b**(-2\/7))**(-39))\/((b**(-5)*b**(-1\/5)*b)\/(b**(-1)\/b)**41) assuming b is positive.\nAnswer: b**(-31653\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8681 >= 12262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgg when three letters picked without replacement from {g: 4, j: 2, m: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -t + 7*t. Suppose t*y = 198 - 143. Solve y*f = 2*i - 9, -3*f + 3*i + i = 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = -v - 7, -5*v = 2*d + 86. Let r = v + 10. Which is smaller: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1177, 839, 269, -533, -1567?\nAnswer: -2833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2000 = -28927*t + 14458*t + 14429*t for t.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 530534961?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 7 + (-18 - -12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49, -119, -199, -289, -389?\n\"Answer: -5*q**2 - 55*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 9*i - 10. What is the tens digit of r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 5. Let a(c) = 5*c - 5*c + c - 2 + 3. Suppose 0 = 7*t - 4*t - 3. Determine t*u(s) - 3*a(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -7*x + 7. Let a be d(1). Is 1\/92 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76)*-1 + sqrt(76)))*3)\/sqrt(4).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {u: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/216 and -19\/828.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/5 of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 26439994 = -3*o, -6*h + 9*h + 4*o = 39660008. What is h rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -5*i**2\/2 - 1. Let j(c) = -c. Give n(j(r)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 13*q**3 - 304755*q**2 - 703342*q - 187560 = 0?\nAnswer: -2, -4\/13, 23445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*n**3 - 494*n**3 + 0*n**2 - 1317*n**3 + 0*n**2 + 2368*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1584 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/13*(-8 - (-11)\/(55\/(-25)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 33836028 divided by -1\nAnswer: -33836028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 6 = 2*a - 22, -3*z - 3 = 3*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189290491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.84 - -9.2185. What is i rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + -2*sqrt(1088))*-3.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36614, 36592, 36554, 36500, 36430, 36344?\nAnswer: 36242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20985*f + 1775 = 21056*f for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**3)**7 assuming i is positive.\nAnswer: i**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 195.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 176907982 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2\/7 + 4293248*u\/7 - 4607994597376\/7 = 0.\nAnswer: 2146624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70966 and 2.\nAnswer: 70966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/8350 and -179\/100650.\nAnswer: 16808550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c*d*r**3*x - 234*c*d*r**3 + 12*d*r**2*x - 2*d*r - 8*r**3*x - x wrt c?\nAnswer: d*r**3*x - 234*d*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.25 (b) 5 (c) -42 (d) 2\/9 (e) 1\/11 (f) -2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 6 = 3*i. Let y = 6 - 4. Suppose -i = -y*v + 2. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 9 = -2*w - 0*a, 21 = 5*w - 3*a. Let r be (-6)\/9*w + 3 - -3. Let d = 1 + -2. Sort 4, d, r.\nAnswer: d, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23016 + 23020. Find d such that -20*d**2 + 0 - 25*d**3 - 5\/4*d**5 - 10*d**w + 0*d = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - l - 7 = 6*u, 0 = -3*l + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, o: 5}. What is prob of sequence oaoo?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*m - 277*m + 2*m**3 + 548*m - 12.\nAnswer: 2*m**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/6 - (-102)\/12. Let q be z + (0 + 2)*-1. Is q smaller than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 4364*n**2 + 1274700*n + 45202500.\nAnswer: 4*(n + 41)*(n + 525)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -10, 6\/7, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c9b5b7 (base 14) to base 3.\nAnswer: -110212001022102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/(-20))\/7*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3054222257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4785023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -11301.14758 to the nearest 100.\nAnswer: -11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 + -88. Suppose 3*a - 4*u - b = 0, 23 = -5*a + u + 73. What is the remainder when 38 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.376 * 168784.2\nAnswer: -63462.8592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 14)*(-30)\/4. Find the common denominator of (-2)\/4 + (-16)\/(-18) and (5\/s)\/((-2)\/(-309)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4370 divided by -127\nAnswer: -4370\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12023, -23374, -34721, -46064, -57403?\nAnswer: -68738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 1)*-1*(-4)\/(-8). Let c = 6 + 0. Solve c = 2*u - v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + 162*v + 1323*v**2 + v**3 - 162*v.\nAnswer: 2*v**3 + 1323*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-9)*h**13*h*h**(5\/4)*(h**(-11)*h)\/h assuming h is positive.\nAnswer: h**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(99) - (sqrt(99) - (-1*sqrt(99) + sqrt(99)))) + sqrt(99) + sqrt(99))*-6)\/(((sqrt(108) + sqrt(108)*2)*-5)\/sqrt(12)).\nAnswer: 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 - 57. Let h(z) = -z**3 + 23*z**2 - 21*z - 44. Let w be h(22). Let m = w + p. What is the greatest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = c + 4*c - 45, 2*c - 2*n - 6 = 0. What is the greatest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 1480423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113 + 338\/3. Let t be (45\/20 - 2)*1. Let w = -6\/11 - -40\/33. Which is the nearest to t? (a) -0.1 (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:34 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3756227?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 230 + (-5 - 144) + -15.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64847 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 403 (base 7) to base 9\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p + 56. Let m be (-4)\/6*(-12)\/p. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318427393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10712.47 - -5\nAnswer: -10707.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0\/(i\/((i**(1\/9)\/i)\/i)))**49)**(-4\/15) assuming i is positive.\nAnswer: i**(5096\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -4*a - 34. Suppose -4*i - 432 + 36 = 3*z, 4*i + z + 404 = 0. Let o = 129 + i. Calculate the highest common divisor of a and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*((-3540)\/60)\/295\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29725 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - p - 35. Let z be c(0). Let q = -25 - z. Suppose 4*i = 8, -5*l + q*l = -2*i + 29. Calculate the greatest common factor of 40 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*x = 16, 3*m + 19 + 0 = -5*x. Let u(r) = r**2 + 4*r - 4. What is the least common multiple of u(-6) and m\/(-7) - (-156)\/7?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by (-136)\/(-6) - (-2)\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 141572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -3) + -165 + 166.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -301*k**4*m**2 + k**2*m**2*r + 72*m**2 - 5*m*r wrt k?\nAnswer: -1204*k**3*m**2 + 2*k*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 3*k - 2. Let q be w(3). Let t be (-1)\/((-1)\/(0 - -13)). Let z(l) = 24 - t + 2*l - 12. Give z(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -x + f, 45*x - 43*x + 74 = -5*f. Let w be 1\/(-2 + (-271)\/(-137)). Is w greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1595*f - 157908. Determine j(99).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - -15. Let x = -2.11 - -0.11. Let q = x + v. Which is the nearest to q? (a) 4 (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/10795425 and 58\/3.\nAnswer: 10795425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, g: 12, s: 2, d: 2}. What is prob of sequence kd?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -16, -g = -3*m + 4 + 7. Suppose 4*c = -12*c. Suppose c = m*i - 37 - 3. What is the remainder when 14 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(1*(-3)\/(-9) + 0). Let m = j + 34. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*i + 7*i = -25, -4*i = 20. Suppose -4*y = 2*j - 3*y - 9, -j = b*y. Solve -5 = -r + 3*z - 15, -j*r - 3*z + 22 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1291*t + 87 = -1300*t + 213. Solve -5*q = -5*j - 6*q - 17, 0 = -2*j + 2*q - t for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*i - 3 = -80*i. Let a(u) = -3*u + 9. Let d be a(i). Solve 2*h + 0*h + 3*m - 20 = d, 4*m = 2*h + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irjjr. Give prob of picking 1 i and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**4\/4 - 271887*n**3\/4 - 3*n**2 + 271887*n = 0.\nAnswer: -2, 0, 2, 90629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -28*c**2 - c. Let j be a(-1). Let h be 2\/(-8) + j\/(-12). Find the common denominator of -13\/8 and 134\/(-24) - -1*h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74669 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7857\/(-582) + (-274)\/(-20). Suppose 0*h = h. Which is the nearest to 1\/3? (a) n (b) -0.2 (c) h (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 l when four letters picked without replacement from {s: 9, l: 7}.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q - 9. Calculate h(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 29*x - 4*x to j*x + h and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994 is divided by 110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2360 and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45414\/(-1080) - -42)\/(9\/(-36))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 7:35 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**3 + 0*a**3 - a**3 + 5*a - 5*a + a**3 + 13 - 13 - 8*a**3 + (3*a + 0*a - 2*a)*(-2*a**2 + 2*a**2 - a**2) as g*a**2 + m*a + b + n*a**3 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/115 + (-2163)\/(-276) - 8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-3) - (-5)\/(-15). Let q(c) = c**3 - c**2 - 1. Let h(x) = 3*x**3 - 2*x**2 - x - 4. Let o(j) = -h(j) + 4*q(j). What is o(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 59.\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 18, -66, 3, -235 in decreasing order.\nAnswer: 18, 3, 0, -66, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 151.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 0*b**3 + 0*b + 0*b**4 - 39*b**2 + 19\/120*b**6 + 0 - 11\/30*b**5. Find the third derivative of h(q) wrt q.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -55. Let x(u) be the second derivative of 1\/2*u**2 + 1\/6*u**3 + m + 1\/42*u**7 + u + 1\/30*u**6 - 1\/10*u**5 - 1\/6*u**4. Find q, given that x(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjjl when four letters picked without replacement from ljqjjtttzltjwtltztll?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*l)*(-3*l**4 - 8*l**4 + 3*l**4).\nAnswer: 16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 915*i**3*s**3 - 57*i**2*s**2 + s**3 wrt i?\nAnswer: 5490*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5209 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**4\/3 + 5*q**3\/6 + 6*q. What is the second derivative of f(w) wrt w?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01501476185 rounded to four dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 6:19 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 4. Let y = p - -92. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-120)\/(-387)))\/(150\/100) + 8.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042044 to five decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -5*n - 19*g + 5656, -5*g = n - 1118. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 4*m - 4, 5*m - 18 = 6*m - 5*s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101.000211 + 101. What is t rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 3. Let y be z(4). Let l be 12 + y*(3 + -1). Solve 0*s = 5*c + 4*s - 35, 2*c - 4*s + l = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or -79729?\nAnswer: -79729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4\/9 - 1418*f**3\/3 - 257728*f**2\/9 - 38342*f\/3 + 85196 = 0. What is f?\nAnswer: -57, -2, 3\/2, 1121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -598.8387 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.496 - -11.4954779. Round h to five decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-5)\/(-20)*8. Solve i = a - f, 3 = -a + 6*a + 4*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + (-26)\/7)\/(-2). Which is the nearest to 2? (a) -5 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20 - (10 - 7)*1\/3. Suppose s = -b*s. Solve -2*a + 5*a = s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6592?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3282 is divided by 218?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 - 2*u**2 - 66 + 66.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3 + 616*g**2 - 24320*g + 46208 = 0 for g.\nAnswer: 2, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 8 = 0, 0 = 5*w + z + 2*z - 26. Solve w*o - 19 = -3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v**3 - v)*(2*v - v - 2*v)*(-1 + 1 + 1)*(-v - v - 2*v).\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 1:07 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -758 + -14a?\nAnswer: -8a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3*l = 19, 2*j + 5405 = -11*l + 5393 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -12, 6, -3\/2, -38?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 9. Let g be 2\/(s\/(-15)*-1). Calculate the smallest common multiple of 14 and (1 - -10)*(-10)\/g.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 81.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2577, 5153, 7729, 10305?\nAnswer: 12881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**4 - 5*l**4 - 6 + 9 + 3*l - 4*l**2 to m*l + q*l**2 + t*l**4 + f*l**3 + o and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3464\/3 - 1154. Let o(h) = 2*h**2 + h - 5. Let k be o(4). Suppose -4*n + k = -21. Are m and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*sqrt(450))\/(sqrt(108)\/(-1*sqrt(12))).\nAnswer: -90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) 1 (c) -3 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p = -142643 - 39637. Calculate the remainder when p is divided by 200.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 7*a + 2*a - 5*a + 2*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 36*p - 294. Give v(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 149.\nAnswer: 59.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -70 + 55 + 59 + -7\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*m - 0*r - 5*r, -5*m + 5*r = 15. Determine b so that 0 + m*b + 1\/6*b**5 + 1\/3*b**2 - 1\/6*b**3 - 1\/3*b**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 582.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*d + 3. Suppose d*b + 1 = 5. Let g be 0 + b\/(4\/30). Solve g = -p - 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 + 3 = 0. Let r = p + 0. Solve -w + r = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -13*n**2. Let c(g) = -1. Let l(w) = 23*w - 6. Let u(p) = -6*c(p) + l(p). What is u(f(d))?\nAnswer: -299*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5276 > 5185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -109*t. Let q(g) = -21*g - 17*g - 19*g + 59*g. Determine q(s(y)).\nAnswer: -218*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222595, 222594, 222593, 222592?\nAnswer: 222591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/4 and 25\/2834.\nAnswer: 5668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 34, 70, 130, 220?\n\"Answer: m**3 + 3*m**2 + 2*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/2)\/((32\/(-4))\/(-8))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-12))\/((-2)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v. Let a(t) = -12*t. Let o(u) = 2*a(u) + 27*y(u). Let l(w) be the second derivative of -w**4\/12 - 3*w. Calculate l(o(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2720 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138411*c*v + c + 1487*v - 97 wrt c.\nAnswer: 138411*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -49104?\nAnswer: -49104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -8. Let i be -1 + u + 1 + 7. Let q = i + 5. What is the remainder when q is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*q + 357*q - 30 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -24. Let v(c) = -1 - u + c + 4. Let x(r) = 2*r**2 + 12*r - 12. Suppose -11 = -4*g + 37. Determine g*v(h) - x(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 0)*(0 + 0 - 1) + 2 + 0 - 4 + 2 - 2 + 5)*(2*w + 2*w - w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/54 - 6439\/(-2538)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-18 - (24 - 27))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2850934272?\nAnswer: 2, 3, 17, 23, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 425202357 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 3346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*c**4 + (0*c - 2*c + 4*c)*(4*c**3 - c**3 - c**3) + (1 - 2*c**2 - 1)*(-10*c**2 - 18*c**2 - 31*c**2) - 7*c**4 + c**4 + 2*c**2 + 72 - 73.\nAnswer: 118*c**4 + 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185 + 6*j**2 - 91 - 16*j - 94 to r*j + z*j**2 + c and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33791 - -33790.950351. What is k rounded to three dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/5)\/(3\/(-1)*1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 18585*h + 167022.\nAnswer: 3*(h - 6186)*(h - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y**19\/y)\/y)*y)\/y)\/y**(-10\/11)*y**(-29)\/((y\/((((y*y\/y**0)\/y)\/y)\/y))\/y) assuming y is positive.\nAnswer: y**(-496\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 465*r**3 - 39*r**2 + 1 wrt r?\nAnswer: 2790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*v - 3*c + 2*c, 12 = v + 3*c. Let t be 8\/3*v\/(-4). Let r be t\/(-6)*60\/8. Let p(a) = -4*a + 6. What is p(r)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (64\/1040)\/(4\/(-10)). Let a = 12.6 + -64.6. Let o = 51 + a. What is the closest to s in 8, 2\/15, o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 + 6 - (-53 + -4)) + -32.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1680864 to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9378.76ug?\nAnswer: 0.00000937876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**4 + 57651*u**3 + 3*u - 7853126 wrt u?\nAnswer: 8*u**3 + 172953*u**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 696, 818, 1164, 1854, 3008, 4746?\n\"Answer: 20*d**3 - 8*d**2 + 6*d + 678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 96 (b) -2\/1035 (c) 0.3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - 24*u**2 + 64*u + 88. What is c(-14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7}. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*r**2\/2 - 2765417*r\/2 - 5530938.\nAnswer: (r + 4)*(13*r - 2765469)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55592732 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5*q - 32 = 18, 0 = 2*s + q - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213087 = -79*r + 9851. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5643)\/182457*6\/(-9)?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, a: 2, w: 2, t: 2, c: 2, m: 1}. What is prob of sequence act?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d + 191*b + 955 = 40*d, 2*b = d - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -589*d**2 - 7343*d - 18373. Calculate b(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (76\/(-4 + 2))\/2*-17. Suppose a = 7*o + 10*o. Calculate the remainder when 30 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -5\/24*u**4 + u**2 + 0 + 0*u + 1\/60*u**5 + 1\/2*u**3. What are the prime factors of c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72157634, -72157630, -72157624, -72157616, -72157606?\nAnswer: -72157594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 582136810 divided by 10?\nAnswer: 58213681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/19 - 344*x**3\/19 + 14792*x**2\/19.\nAnswer: 2*x**2*(x - 86)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 t when four letters picked without replacement from pmpmtmpm.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 4)\/((-30)\/(-45)). Suppose -y = z - 9. Factor 12*h**2 + 3 + 4*h**y - 2 + 12*h + 3.\nAnswer: 4*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70762.\nAnswer: 2, 35381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (2\/(-3))\/(2\/(-192))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*v + 62 = 12, -3*n + 174 = -3*v. Let k(m) = 2*m - 21. Calculate the smallest common multiple of k(27) and n.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) - -1*sqrt(70))*6)\/sqrt(10).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*g - 49*g + 2430 = 0. Let x(z) = g*z - 383*z + 63 + 357*z. Let r(q) = 7*q + 2. Determine 63*r(a) - 2*x(a).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -100, 2, -5, -2, 6 in decreasing order.\nAnswer: 6, 5, 2, -2, -5, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 444693045 to the power of 1\/2, to the nearest integer?\nAnswer: 21088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*f - 536972, 282616 = 5*m + 2*f - 388590. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f - 55. Let m = -100 + 90. Let g = f - m. Which is the nearest to -1? (a) 2\/7 (b) 3\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - -0.2. Let x = 0.115 - 0.615. What is the second smallest value in q, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.7 in -17, 2\/3, 0.3, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2360 - 2369 - (1 + -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*s = -s - 24, 2*v + 50 = 2*s. Let i = 12 + v. Let g be -3*1 - (6 + i). Solve 2*x + p + g = 0, 4*x - 17 = 6*x - 3*p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 0*w**3 + 5*w + 0 + 1\/2*w**4 + 0*w**2. What is q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 13*b + 774. Let y be t(35). Solve y*i - 3 - 9 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/4*(-6 - -1). Suppose -p = 5*n + 2*q, 0*n - n = 5*q + 28. Sort 2, n, 4 in decreasing order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 4*z + 3. Let k be l(-1). Suppose k = 15*i - 3*i. Suppose 5*a - 1445 = 5*o, -2*a = -o - i*o - 576. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12a + -18?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911098622.\nAnswer: 2, 7, 65078473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21022010 (base 3) in base 2?\nAnswer: 1010011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*b**2 - 59 + 28 + 31 - 43*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4742 + 4740. Which is the nearest to q? (a) -5\/12 (b) 3 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 15 = -2*k + 5*h, -7 = -5*k - 3*h. Let r be 0\/(1*k\/2). Solve 2*c = -2*u + 4, 5*c + 2*u + r = 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14433 = -110*n - 77243. Is n greater than -3425\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82150 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16523 and 37843?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*t - o, -34*o - 334 = t + 272 + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35, 36, 39, 44?\n\"Answer: i**2 - 2*i + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/15918 and 149\/281976.\nAnswer: 1973832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111101001 + 1010010?\nAnswer: -11110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 356.8, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8899.\nAnswer: 11, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-12)*6048\/4704.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -2 (c) -0.1 (d) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 18566*k + 326. List the prime factors of r(1).\nAnswer: 2, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8869*t - 79956. What is a(-9)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 6*v = 33, -z - 1459*v + 1462*v = -12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.905? (a) -3\/4 (b) -10 (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/117 or -0.1?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 - 4*v**2 - 2*v - 4. Let g be t(-3). Let a = -60 - g. Suppose -5*f - 70 = -6*f. What is the highest common factor of a and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8478 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.131 in -208, -0.3, 25, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2519 - 1646. What is the remainder when d is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1 + h - 10 - 1. Let d be b(15). Solve 0*q = -d*q - 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.531 rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 442.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-22))\/(1\/(-2))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (52\/16)\/(2\/8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58170.56 kilograms in tonnes?\nAnswer: 58.17056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 + 3*a + 6. Let d(p) = -2*p**2 - 2*p + 4. Let h(i) = 10*i**2 + 10*i - 29. Let f(o) = -6*d(o) - h(o). Determine 3*f(w) - 2*v(w).\nAnswer: 2*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, g: 3, c: 1}. Give prob of picking 2 c and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3939046348 by -4.\nAnswer: -984761587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 124032 - 942439\/8. Let m = -6239 + g. Find the common denominator of -85\/32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10555300, 10555303, 10555306, 10555309, 10555312?\n\"Answer: 3*d + 10555297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19099841639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*w**2 - w**2 - 3*w**2)*(-6*w + w + 3*w) + 4*w**3 - 2*w**3 - w**3)*(-3*w + 2*w - 4*w).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -2\/7 (c) 3\/5 (d) 2 (e) -419 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 8*d + 77. Let y be i(-14). Let s(q) = -48*q - 172. Does 19 divide s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1359 - -2145. Let v = -377 + p. Suppose -5*x = -6*x + v. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 - v + 5. Let x be t(-3). Suppose 0 = 5*l + 5*u - x, -u - 41 = -6*l + l. Suppose 5*c - 22 = l. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2)*(-2676)\/5352)\/(3\/(18\/17))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 41?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 12:35 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 8. Let f be 84\/20 + b\/10. Suppose o = 5*z - 4, 0*o + 22 = 5*o - f*z. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33a + 5?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 2*a**2 - a. Let k be -2*3*1\/3. Calculate the smallest common multiple of l(k) and -18*(-4)\/12*1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/3))**(1\/4) assuming w is positive.\nAnswer: w**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -2684969156?\nAnswer: 2684969153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -189?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(1008).\nAnswer: 5 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -82 - (-10)\/(-5). Does 7 divide (-2 - -6)\/8*(2 - b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34842902 by 34842902.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/12)\/(3\/6)*3. Let q be ((40\/(-44))\/(-5))\/(l\/(-2)). Which is the nearest to -19? (a) q (b) 1\/3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22781, 89980, 201597, 357632, 558085, 802956?\n\"Answer: 22209*g**2 + 572*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 42 + -45 - (-1 - -12) - (2 + -3)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 2*z + 2*z - v + 10, 0 = -14*z + 3*v - 86 - 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 2466*t - 1. Let r(m) = 5*m**2. Calculate d(r(o)).\nAnswer: -25*o**4 + 12330*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 938946 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-6 - (-17 + -1 + 4)) - 30?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 + 2*r**5 + 0*r**3 + (0*r - 4*r + 2*r)*(0*r**4 - r**4 + 3*r**4) - 4*r**3 + 4*r**3 - 2*r**5 + 0*r + 2*r - 3*r**5 + 2*r**5.\nAnswer: -5*r**5 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -14548 take away 0.14267?\nAnswer: -14548.14267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 537 + 0*l - 2*l**2 - 1416.\nAnswer: -2*l**2 + 2*l - 1953","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*k + 342*k - 901*k + 305*k - 215 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 + 6*w**2 + 2*w + 3. Let z be j(-7). Let o = -7659\/19 - z. Put 4, o, 0.2 in descending order.\nAnswer: 4, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q + 90. Let h = -194 - -196. Calculate the remainder when (-852)\/(-12) - (h\/2)\/1 is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 0.16934.\nAnswer: -1.18538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -30. Suppose -6 = -5*x + 4. Suppose -z = -2*r - 4*b, r + x*b = 3*b + 5. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/2 of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.606223271 to three decimal places.\nAnswer: -0.606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (27\/3 + 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156*w**2 - w - 2 - 304*w**2 + 149*w**2 + 5*w**4 to p*w**3 + h + k*w**2 + d*w**4 + x*w and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9181, 8795, 7747, 5707, 2345, -2669, -9665?\n\"Answer: -55*b**3 - b**2 + 2*b + 9235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 62076 + 28110. Suppose -2*o = -f + 2*f - a, 4*o - 45103 = -3*f. Suppose 4*w - 4*k - f = -k, 3766 = w + 5*k. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13730710 divided by -70?\nAnswer: 196153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 27*z + 490. Let q be s(-18). Let h(d) = d**3 - 5*d**2 + 3*d + 2. Calculate h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 36. Is k(6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/5, 47, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:49 AM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.328 + -0.642. Let w = g + -0.03. Let h = 5.358 - 5.558. Sort -2, h, w in increasing order.\nAnswer: w, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300)\/120)\/(1\/6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**3\/3 - 3*n**2\/2 + 4*n + 1. What is the tens digit of j(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -1 - 4 + 6*u + 3 + 1 - 6*u**2 + u**3. Let q be p(5). Find the third derivative of 128 - 128 - 10*g**2 + g**q wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 - 4*d + 4. Let c(o) = -o**2 + o - 1. Let g = -7 + 10. Calculate g*w(b) + 12*c(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**7\/120 + 5*d**4\/24 + 5*d**3\/3 + 1. Let y(p) be the third derivative of u(p). Differentiate y(a) wrt a.\nAnswer: 21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -159 + 159.039. Is -3 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**2*i - 3*a**2*y**2 + 16*a*y**3 + 66*i*y**3 + y**3 wrt a?\nAnswer: 2*a*i - 6*a*y**2 + 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302210, -604424, -906650, -1208900, -1511186?\nAnswer: -1813520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - -10. Let v be 442\/(-8) + (x\/16 - 4). Let i = -50 - v. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ass when three letters picked without replacement from {r: 6, j: 6, s: 6, a: 1}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3362*n**2\/9 - 328*n\/3 - 8 = 0.\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9281 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*f**5 + 66*f**3 + f**2 + 18?\nAnswer: -420*f**2 + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 180 and 585?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/12*(0 - 12). Let b = -60 + 47. Let f = b - -37. Calculate the highest common divisor of n and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -3 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*k - 82*k + 27. Suppose -4*q - k*c = -10*c - 4343, 2*q - c - 2169 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1351 + -16335?\nAnswer: -21016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2449 divided by 27\nAnswer: -2449\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:19 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -16186 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0 = 4*b. Let p be (2\/4 - b)\/(16\/2400). Let v be ((-3)\/(p\/(-20)))\/(4\/10). Solve 2*k = 2 + v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -691*n**2*p**2 - 31*n*p**2 - n*p wrt n?\nAnswer: -1382*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 19\/4*a**4 + 3 - 23*a**3 + 0*a**2 + 7*a. Find the second derivative of t(q) wrt q.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 1:55 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -6. Let w be (48\/42)\/(20\/70). Suppose 2*k - w*p - 171 + 59 = 0, m*k - 5*p = 171. List the prime factors of k.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*v + 19*a - 2*a + 163, v = 2*a + 65 for v.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-42)\/(-70))\/(2\/(-10)*(-18)\/10). Which is the fifth smallest value? (a) 3 (b) t (c) 0.09 (d) 5 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 + (-75)\/(-20). Suppose t*o = 9*o - 120. What is the remainder when 44 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -32*q**2 - 4\/5*q**5 + 112 + 0*q**4 + 16*q**3 + 0*q. Factor y(r).\nAnswer: -4*r*(r - 2)**2*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4 - 63*i**3 - 960*i**2 + 1024*i = 0. Calculate i.\nAnswer: -32, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t. Let y(a) = 93*a**2 - a + 6. What is y(k(g))?\nAnswer: 93*g**2 - g + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 48 = 5*w - 4*w, 99 = 2*w - 5*l. Let j be -3 + (-7)\/(-3) + (-772)\/12. Let n = j - -79. What is the highest common factor of w and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 5. Let b(j) = -6*j + 14. Let m(t) = -5*b(t) - 14*g(t). Let w(a) = -66*a**2 + 2*a. Calculate m(w(q)).\nAnswer: -132*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 30*q**2 + 39*q**2 - 1 - 68*q**2 + q + 4*q**4 - 41*q**4 in the form i*q**4 + k*q**3 + b + w*q + n*q**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.04 + 0.44. Let h = 129\/335 - -1\/67. Let f = 43 - 130\/3. Which is the closest to h? (a) u (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3 - 295\/(-15). Suppose 4*g = -q, -4*k - 2*g + 71 = 5. Let s = k + -131\/7. What is the nearest to s in -0.2, 2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from qqqlqlqlqqqq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 998000 rounded to the nearest ten thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -190 + 3213*d**2 + 310 - 120. Let v(a) = 2*a**2. What is v(r(l))?\nAnswer: 20646738*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -38*q - 796. Let p be b(-21). Solve p*x - 21 + 23 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -8. Let u = -0.05 + -0.95. Let t = u + 1.2. Sort p, t, 1 in descending order.\nAnswer: p, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18, 77, 176, 315, 494?\n\"Answer: 20*b**2 - b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {j: 2, a: 16}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n**3 + 8*n**3 + 3*n**3 + (-n**2 - n**2 + 4*n**2)*(3*n - 2*n + 2*n))*(-3*n + 0 + 0).\nAnswer: -27*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/9841746 and -65\/18.\nAnswer: 29525238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1378\/7, 1, 0, -0.5 in ascending order.\nAnswer: -2, -0.5, 0, 1, 1378\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -27, -2, 33, 78?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4 - 2*y**2 + 2*y**2 + 3 + y**2 - y. Let l be n(3). Solve -l = 4*j - 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(105\/5))\/(18\/42)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1 - 1) + -3 - (187 - 167)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2088 and 2000.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/70)\/((-6)\/15)*-14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - -7. Let t = -31 + k. Let i = 7 + t. Sort 5, 0.4, i in descending order.\nAnswer: 5, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 185788 to the power of 1\/2, to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4508189 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1572\/(-655)*50\/8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5 = 4*b, -15*m = -b - 11*m - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 235*n**2 - 8981*n + 234. Calculate c(48).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b + 3*p + 53, -83*b + 81*b = -5*p - 23 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**6\/30 - 2*m**5\/5 - 3*m**4\/2 - 22*m**2 - 63. Let q(w) be the second derivative of u(w). Find k such that q(k) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237004512 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1074479 and 673554.\nAnswer: 45128118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 144?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1255*b. Let a(t) = -2*t**2. Give k(a(p)).\nAnswer: -2510*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 1. Let p(v) = -82*v**2 + 205*v + 205. Let u(d) = p(d) + 205*s(d). Let w(z) = 2*z**2. Calculate w(u(h)).\nAnswer: 13448*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((63\/(-9))\/(3 - -1))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3625 by 725.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -2, -5, -86, 2210 in decreasing order.\nAnswer: 2210, 3, -1, -2, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 8:20 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6689593.\nAnswer: 6689593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 667 + -355. Let q(d) = 15*d - 21. Let m be q(4). What is the highest common factor of c and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 688 * -85\nAnswer: -58480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7536 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + u + 1)*(-8450 - 11785 - 14870 + (3 - 1 - 4)*(1 + 3 - 3) - 2 + 2 + 1 - 3 + 0 + 1 - 4 + 0 + 5) to the form c + o*u and give o.\nAnswer: -35107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -282b9a (base 12) in base 14?\nAnswer: -1359b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*h - 1224 = 4940. Solve 46*r - 88 = -h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3528 divided by 147.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1905465572?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + g = -12. Let q(x) = x**2 - 2*x**g - 2*x**2. Let w(z) = -7*z. What is q(w(j))?\nAnswer: -147*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6182.3 - -6181. Let v = 40\/7 - 167\/28. Which is the closest to -1? (a) k (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 16*p - 11. Let l be g(15). Solve -2*s = -1 + 3, 20 = l*o - 4*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18170 and 17365?\nAnswer: 2743670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15636.2 and 0.02.\nAnswer: -312.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15367 is divided by 7683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + 9 + 690 - -8?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582375\/13 != 44798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5387309*u**3 - 13164849*u?\nAnswer: 32323854*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 467216 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.5279\nAnswer: -0.05279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4*l)*(-6 - 2 - 2)*(3*l - 3*l - 2*l**3).\nAnswer: 80*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -403, -405, -407, -409?\n\"Answer: -2*v - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -14 + 17 + 0 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in -5, -1\/3, 6\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1100011101111111100 (base 2) to base 12\nAnswer: -178538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozwfcec. Give prob of sequence zw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3 - 24. Suppose 4*n = -s + 21, -s = n - m - 17. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a hour in minutes?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4132)\/2304 - -2) + (-740)\/(-7770)*(-7)\/3?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1036? (a) -2\/39 (b) 2\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48*9\/612)\/((-6)\/51).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-1)\/(-1) + -6*(-3)\/(-9). Which is the nearest to s? (a) 0.104 (b) -3 (c) 2\/9 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/2 - 3\/(-6). Let m = 1 + u. Let p = -2116 + 2111. Which is the smallest value? (a) p (b) m (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(((a\/(a**(-1\/6)*a))\/a)\/a)))\/(a\/a**(1\/3)))\/(a**(-1))**50 assuming a is positive.\nAnswer: a**(95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10100111011000000110?\nAnswer: 10100111011000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 times 9992.67?\nAnswer: -489640.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 7930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4241*k - 4888*k + 6909*k.\nAnswer: -2220*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 373781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4561133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**3 + 827197*w**2 - 3*w**3 - 827112*w**2.\nAnswer: w**3 + 85*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = 3*x. Which is greater: x or -21\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-2)\/6 + 710\/213. Suppose -412 = -2*a + 5*o, -6*o + o - 613 = -z*a. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 6*s**2 + 3*s + 6. Let l = 163 + -158. Let g(n) = 4*n**2 + 2*n + 4. What is l*q(u) - 8*g(u)?\nAnswer: -2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -289 (b) 0 (c) -28.6 (d) 5 (e) -1 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*g - 63*g + 41*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + i - 4*i + 0 - 7.\nAnswer: -i - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 198 - -30. Suppose i*g = 229*g + 6000. Round g to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -3*s**4\/4 + 43*s**3 - 249*s**2\/2 + 123*s + 304. Suppose y(j) = 0. Calculate j.\nAnswer: 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -2 + 4 + (-3 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 75.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-6 + 10 + 0 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-425) + (-5103)\/175.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 1818?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254138.\nAnswer: 2, 3, 43, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -169\/3. Which is smaller: u or -0.036?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5\/5 - 99*x**4\/5 - 2499*x**3\/5 - 2401*x**2\/5.\nAnswer: -x**2*(x + 1)*(x + 49)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*n - 391. Let v be (36\/10 - 4) + (-24)\/15. What is the common denominator of -59\/6 and 6\/v - 385\/n*-3?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**7\/1680 - u**6\/720 - 4*u**3\/3 - 4*u**2. Let j(a) be the first derivative of r(a). Factor j(k).\nAnswer: -k**2*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -39) + (-2 - -2) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 11*h**2 + 106*h - 26. Give v(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105814, 211597, 317380, 423163, 528946, 634729?\nAnswer: 740512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/41*10\/(-14)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/25)\/((-3)\/(15\/2)). What is the nearest to i in -9, 5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*m + 3*m - 9*m)*(4*m - 9 + 9) to p*m + f + o*m**2 and give o.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 240.48?\nAnswer: -1923.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 289?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2, 71.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188 and 4676359?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95612 is divided by 23719.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781602903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -119460?\nAnswer: -119462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*k**2 - 2 - 2488*k**2 + 453*k**2 + 710*k**2.\nAnswer: -1116*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195637562?\nAnswer: 2, 97818781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138883727 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -4 (c) -2\/7 (d) -3519\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/4 (b) -4 (c) 0.01 (d) -2\/13 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4*q + 0)*(-2 - 2 + 2) - 4*q - 6 + 6 in the form n + z*q and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499725 to the power of 1\/2, to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.009401042642+-0.093\nAnswer: -0.102401042642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 7 + 93. Let z = h + -18. Suppose y = -z*f - 0*y - 153, -y - 5 = 0. What is f rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llxlxpjmxpcx. What is prob of picking 1 m and 1 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + -5.43. Let t = 10.4 + p. What is the nearest to -1\/3 in t, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1158664405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.4, -1.5, 2, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/3))**(1\/35)\/(r*r\/(r\/r**(-2)))**(-1\/25) assuming r is positive.\nAnswer: r**(-1\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 - 0 - (2 - 8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 91 = 3*c - 2*c, -4*c - 158 = -2*x. Let f = x - 81. Calculate the smallest common multiple of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i + 10. Let z(j) = 3*j + 11. Let w(c) = -4*r(c) + 5*z(c). Let a be w(0). Suppose -4*s = -s - a. Solve -s - 7 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/369?\nAnswer: -5\/369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 75 = -5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2)*y)*y)**(-2\/69)*(y**(2\/3))**(-50))\/(((y\/y**5)\/y**(-7\/5))\/((y*y**(-1\/2))\/y)**(-6\/5)) assuming y is positive.\nAnswer: y**(-10426\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2006\/53, -3\/2, -0.5, -3 in decreasing order.\nAnswer: 2006\/53, 1, -0.5, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a microgram in nanograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1676274.38 rounded to the nearest 100?\nAnswer: -1676300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6878003843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 8 + 21 + 19 - 32 - 6*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144754 and 176102?\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*g**3 + 279*g - 279*g.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 20*v + 87. Let b be c(-6). Suppose -7 = 4*p - b*d - 2*d, 0 = -3*p + 2*d. Solve 4*y + 4 = -2*q, 3*y - 1 = p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8512 - 13111 - 2938 - 17261 + 1747)*(3*z - 2*z - 2*z) as n + q*z and give q.\nAnswer: 23051","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1988? (a) 3\/5 (b) 5 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d - 32. Let v(k) = -16. Let r(p) = 2*a(p) - 5*v(p). Let c(j) be the second derivative of -j**3\/3 - 3*j. Determine r(c(y)).\nAnswer: -4*y + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by 48.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64192 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 106*s - 107*s. Let i(u) = 13*u + s - 18 - 12*u. Let v(x) = 8*x - 11. Calculate -6*i(r) + v(r).\nAnswer: 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -14, -3, 28, 85, 174?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 1:05 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00422468 rounded to 4 dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 1367833.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2880 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 4*k + 22, -11*n + 8*n + 9*k - 35 = -k + 6*k for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87*a**4 - 10*a**3 + 214*a**2 + 9 wrt a.\nAnswer: 2088*a - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-14)*(-1113)\/106?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1200)*-2 + sqrt(1200) - sqrt(12) - sqrt(12))*-6*1)\/(1*(-2*(1*sqrt(6) + sqrt(6)) - sqrt(216)))*2.\nAnswer: -72*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 16*q - 527 = 4*k, k + 4*q + 129 = 0. Let d = 172 + k. What is the remainder when 73 is divided by d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12887 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/16986 and -69\/190.\nAnswer: 84930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3*a = -6, -4*s + 2*a + 14 = a. Suppose s*d + 12 = 4*g, 3*d - 16 - 17 = -4*g. Solve 6*p + 0 = -g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6690 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: 6 divided by -27328\nAnswer: -3\/13664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 + 84. Let m be 1 + (0 + 0 - -1). Let f = k + m. What is the lowest common multiple of f and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 10*v**2 - 4*v - 18. Is 14 a factor of q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*v**2 + 3072*v - 20304.\nAnswer: 4*(v - 6)*(13*v + 846)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -873.96 + 874. Which is the nearest to j? (a) -2\/5 (b) -4 (c) 0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4722 (b) -4\/5 (c) -3844 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31.41 + -1.8. Let x = -29.6102277 + f. Round x to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2\/19 (c) 10\/19 (d) 947\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/8)\/(o\/(o\/(o*o**(-1))*o)*o))\/(o**2)**(14\/9))**10 assuming o is positive.\nAnswer: o**(-1165\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4.9. Let i = 0.7 + y. Let z = -0.01 - 0.39. What is the closest to -1\/3 in i, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v + 4*x, 20*v - 4*x + 8 = 17*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*c = -24, -5*h + 4*c + 117 = 45. Suppose -4*u + 5*l - 17 = 0, 2*u + h = 21*l - 17*l. Sort 2\/3, u, -5 in descending order.\nAnswer: u, 2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 2*j**2 + j)*(-6 - 6 + 18)*(-7060 - 258*j + 7060) to q + y*j**2 + u*j + f*j**3 and give f.\nAnswer: 3096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v**5\/5 + 4128*v**4 + 41238*v**3\/5 - 61908*v**2\/5 - 82488*v\/5 + 82512\/5 = 0. Calculate v.\nAnswer: -3438, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54\/193 - -9481\/4053. Find the common denominator of f and 22\/141.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 10:00 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775*c + 3835 = -815 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 846135130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3473d + -2?\nAnswer: -34740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(135)*1)\/sqrt(9))\/sqrt(5))**2 - (sqrt(300) + -2 + -3).\nAnswer: -10*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-281421)\/198)\/(5\/(-8)). Let m = u + -2274. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -776, 1.101 in ascending order.\nAnswer: -776, -1\/3, 1.101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 213? (a) 1\/3 (b) -0.14 (c) -0.2 (d) -2\/5 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18483 is divided by 2682.\nAnswer: 2391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 2*j - 6. Let t = -1 + 7. Suppose 14 = -2*b + t. Does 18 divide m(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -623194 by 311597.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 1. Let x(t) = 4*t**2 - 19*t + 87. Let q(a) = x(a) - 3*z(a). Let g be q(8). Factor -4\/13*i**g + 6\/13*i + 4\/13.\nAnswer: -2*(i - 2)*(2*i + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19, 297, 837, 1639, 2703, 4029?\n\"Answer: 131*o**2 - 115*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 270, 634, 1144, 1800, 2602?\nAnswer: 3550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 217388 and 10?\nAnswer: 1086940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(77) + ((sqrt(77) - (sqrt(77) + (sqrt(77) - sqrt(77)*1))) + sqrt(77))*-4)\/(-2*sqrt(99)))**2.\nAnswer: -5*sqrt(7) + 107\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -122212 (base 6) to base 2\nAnswer: -10101010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -4*g - 2*h, -337*g + 334*g - h = -12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12357*f - 13697.\nAnswer: -12357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43352 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000098058223 rounded to 7 dps?\nAnswer: -0.0000981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -1\/30*q**5 + 0 + 3*q**2 + 5\/24*q**4 - q**3 + 0*q. What is b(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/424 and 23\/67660.\nAnswer: 7171960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 39, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.39798 - -0.2459. Let x = h - -0.151. What is x rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 223 + -218. What is the second derivative of -4*l - 19*l**5 - 11*l + 18*l**a wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 2. Let s be g(0). Let u(t) = 6*t + s*t + 0*t. Let j(o) = -o. Determine u(j(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 6*n**2 + 4*n + 6. Let t = -220 + 223. Let d(a) = 10*a + a**2 + 11*a - 1 - a**3 + 17*a - 39*a + 0*a**t. Calculate 4*d(f) + w(f).\nAnswer: -3*f**3 - 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from {l: 3, j: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7 + q - 4 + 4*q**2 - 3 - 5*q**3 + q + 4. Let b(m) = -m**2 - 1. What is 4*b(g) + v(g)?\nAnswer: -5*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = 3*g, -2*g = -0*g - t - 14. Does 10 divide ((-51)\/34)\/(g\/(-128))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) - (1*sqrt(99) + sqrt(99))) + 4 + (-1 + sqrt(99))*-1 - 6*((-1*sqrt(99) - sqrt(99))*6 - sqrt(99))*3)**2 + 0.\nAnswer: 6960*sqrt(11) + 5328601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 4*p + 20, -38*w + 17*p - 15*p + 110 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -406 - -407. Factor a**4 - 6*a + 37\/4*a**2 - 21\/4*a**3 + d.\nAnswer: (a - 2)**2*(a - 1)*(4*a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -6 (b) -3\/4 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 + 33 = 31*b. Suppose 2*d = -d + 108. Calculate the greatest common factor of d and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 6, 3, 0, 283 in decreasing order.\nAnswer: 283, 6, 3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 7*c + 3. Give o(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (4 - 11)) + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + v + 169, 5*v + 43 = -x - 18. Which is smaller: -386\/7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257 + -254. Solve v*w + 2*w = -b - 21, 2*b = -2*w - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 14. Let p(t) = -7*t - 83. Let c be p(-11). Determine k(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(6\/15*20)*9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 875193065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 13 - 18 - x + 6 in the form h*x**2 + l + z*x and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:31 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/9)\/q**4*q\/q**2*q*q*q**(-2\/29)*q assuming q is positive.\nAnswer: q**(-482\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2196427173 to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349579 is divided by 501.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18*(-20)\/(-45) - (-84)\/(-10). Put a, -0.68, -23 in descending order.\nAnswer: a, -0.68, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 3 + -5 - (-1837 + 1805)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/119 and 53\/12134192.\nAnswer: 12134192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-6))\/((-1)\/2). Find the third derivative of p*a**6 + 3*a**2 + 0*a**2 - a**6 - 4*a**2 wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*z = -595, -10*z = -2*g - 7*z + 325. Calculate the lowest common multiple of 10 and g.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 9*s - 6. Let a be g(10). Suppose 2*u = -t - 1 + 4, t + a*u - 3 = 0. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102 + 162. Does 51 divide ((-24)\/g)\/((-1)\/1020)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5330 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, a: 3, f: 3}. What is prob of picking 3 a and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3285*h + 3 - 1 - 3403*h.\nAnswer: -118*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9123 divided by 15\nAnswer: -3041\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 214656794459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 175770901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 31\/4)\/((-171)\/1824). What is the third derivative of 0*n + 56*n**4 + 14*n - 14*n + b*n**2 wrt n?\nAnswer: 1344*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*m**3 + 8028*m**2 - 3165*m - 1566 = 0.\nAnswer: -2\/7, 9\/13, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 159*m**2 + 155*m**2 + 153*m**2 - 468*m**2.\nAnswer: -m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 40994?\nAnswer: 40996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3 = 3*s. Let z be (-2)\/564*-4*s. Let g = 0.04524 - 0.04524. Which is greater: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 3550 - 1070. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 - 166.6.\nAnswer: -150.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 15) in base 7?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -20, 0.0642?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (14 - 1) + 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2 + 6857724*r + 3919031538348 = 0. Calculate r.\nAnswer: -1142954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w = -106*w + 28*w - 3052 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34, -0.05897, 0.1?\nAnswer: -0.05897","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 = 2*a - r, 2*r = 4*a - 60. Calculate the remainder when (9\/6)\/(0 - (-15)\/410) is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 6 - 2 - (1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 338257247 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1701068?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 2*b**3 + 6*b**3)*(8 + 3 - 3).\nAnswer: 56*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**9\/60480 - w**7\/5040 + w**5\/480 + w**4\/12 - 4*w**2. Let g(j) be the second derivative of s(j). Factor g(m).\nAnswer: (m - 1)**2*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11.3 in 0.5, -0.114, -290?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*((sqrt(405) + (sqrt(405) - 4*(sqrt(405) + 1)))**2 + (sqrt(60)\/(sqrt(12) + sqrt(24)\/(sqrt(2) - sqrt(2)*-2)))**2) + -5).\nAnswer: -78903\/8 - 864*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -1, -2\/9, -5, -15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9120166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-15)*(-180)\/(-228))\/((-24)\/(48\/6))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*v + 64*v + v**2 + 0*v**2 - 2*v**2 - 29 to k + g*v + w*v**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*t - 12 - 5, -15 = 3*t + 2*m. Let w = 23 + t. Calculate the remainder when 79 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2433?\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8564 - 6061. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (6 + -4 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44267618.\nAnswer: 2, 41, 539849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-1 - 2)) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -5462?\nAnswer: -5455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 378*o - 30224. Calculate d(80).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/1281204 and -151\/427068?\nAnswer: 1281204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-4 + 2)) + (93 - 98)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -279 + 281. Suppose 3*x - k*l - 7 = 0, 0*l + 1 = -3*x + 4*l. What is the remainder when 34 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1431 - 1499.88. What is o rounded to zero decimal places?\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2, -2*f + 113 = 4*b - b. Suppose 3*s - 432 = -3*o, -5*s + o + 677 + b = 0. Calculate the highest common divisor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1366 - 2995 - 2680 + 1867 + 6414*y**2 with respect to y.\nAnswer: 12828*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -801 - -801.00569. What is k rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {o: 6, g: 9, u: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21050933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*w + 57730, -3*w = -4*p + 5*p - 19241. Let k be ((-10)\/(-120))\/((-3)\/(-692494)). Let l = p - k. What is the common denominator of 51\/10 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1670626.\nAnswer: 2, 835313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 66*q**2 - 245*q - 208. What is m(62)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 347817.4 meters?\nAnswer: 347817400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 77989.43 years?\nAnswer: 935873.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -d - 31. Let v be (3\/d)\/3 + -3. Let t = v + 117. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25059)\/(-21) + 4\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 - -50. Let k be 0\/(-7) + -2 + c. Solve 5 = 4*b + 5*v - k, v + 3 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*y = 379*y + 378. Suppose 0 = 3*r - 4*b - 5, 5*r - 3*b - 14 = -2*b. Factor 12*p**2 - y*p**2 - 6*p**3 + 4*p + 8*p**r.\nAnswer: 2*p*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.8 + 0.8. Let o = -0.66 - -0.16. Let m = -8 + 7.7. What is the nearest to o in m, 0.1, z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 887\/39 - 300\/13. Let p be -1*-2*(-4 - -2). Let k = 4461\/13 + -343. Which is the nearest to i? (a) p (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2112 = -2*j - 2*j. Suppose 28*r + j = 36*r. Calculate the least common multiple of 84 and r.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 8) in base 15?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 + 1.17. What is the third smallest value in 2, u, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2032 by 4.\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52 + -51.9. Suppose -5*g - q = -15, -3*g = 4*q - q + 3. Which is the nearest to w? (a) 0.3 (b) g (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -98*x - 13. Let p be j(-9). Suppose -4*u + 293 - 1445 = 2*d, 3*u + p = d. Let g = 470 + u. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 617 from -40.\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15\/68036 (b) -3 (c) 8\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 3*g**2 + g + 10. Calculate v(6).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 7*g + 3. Let y(h) = -h**2 - h - 1. Let k(x) = r(x) - 5*y(x). Let o be k(-6). Solve -19*a**3 - 4*a**2 + o*a**3 - 27*a**3 + 2*a**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147 (base 10) to base 13\nAnswer: b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4147 is divided by 73?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3\/8))**40\/(y*y\/(y*y\/((y**0*y)\/y)*y))**(3\/35))**(1\/9) assuming y is positive.\nAnswer: y**(-58\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = -5*b, i - 6*i = -5*b - 5. Suppose b = -2*f - 5*v + 73, -2*f = -5*v - 19 - 44. Calculate the remainder when f is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 7*m = 6*m - 57, 0 = -13*o + 2*m + 348. What is the remainder when 3576 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*((-4)\/(-10) + 7518\/(-20)). Suppose 4*h + 333 = j. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1286 - 1279. Let g = 0.173 + -0.073. What is the second smallest value in 8, -0.4, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 12*b**2 - 10*b - 7. Let p be t(11). List the prime factors of 132\/12 + (1 - p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -804535.\nAnswer: -1\/160907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u - 4, -186 = -4*d + 3*u. Let y be (2055\/548)\/(1 + (-46)\/d). Calculate the highest common factor of y and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:45 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 - 0.29444?\nAnswer: -1.09444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9930372 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = 4*g + g + 37, -3*g = h + 17. Let l(i) = 38*i - 3. Let r(a) = 39*a - 2. Give h*l(p) + 3*r(p).\nAnswer: 41*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 5*y - 7. Let w = 0 - 0. Let f = 6 + w. Let o(a) = 0*a**2 - 5*a**2 - 6*a + 2*a**2 + 4*a**2 + 8. Calculate f*k(g) + 5*o(g).\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 51. Let m be (a\/3 - -2)\/(1\/(-21)). Suppose 0 = n + n - 14. Is m > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. Let s = -11 + 7. Let p be (4\/1 - 2) + -4. Put s, l, p in increasing order.\nAnswer: s, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**5\/5 - j**4\/4 + j**3\/2 - 302*j. Let g(r) = -11*r**3 + 8*r**2 - 9*r. Determine 3*g(p) + 8*w(p).\nAnswer: -p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 2:31 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 60 = -5*v - 6*g, -5*v - 5*g + 20 = 0. Factor -3*w**2 + 16*w - 14 + v + 0.\nAnswer: -(w - 5)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217026?\nAnswer: 2, 3, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81246 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 20*l**3 + 6*l**2 + 2*l + 3. Let x(s) = -2*s**3 - s**2 - s - 1. Let t(c) = -i(c) - 3*x(c). What is the second derivative of t(m) wrt m?\nAnswer: -84*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 16*x - 16. Let w be g(-17). Let d(c) = c + 8. Let o(t) = -1. Let m(k) = w*o(k) - d(k). Let r(q) = -q - 8. Give -6*m(s) + 7*r(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**3 - 3*t**2 + 2*t + 1. Suppose -4*j + 0*j + 112 = 2*u, -3*j + 84 = -3*u. Calculate the remainder when j is divided by b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5 - 14136*y**4 + 14189595*y**3 + 5799474834*y**2 + 511125040404*y + 999165924504 = 0 for y.\nAnswer: -162, -2, 2519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 8*k - 35872 + 35872.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*f - 330. What is the remainder when f is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) -0.5 (b) 4\/5 (c) 4.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -12.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one eighteenth of a day?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 370.1 + -353. Let s = -0.1 + h. Let a = 16.949 - s. What is a rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w - 3. Let x(c) = -c + 10. Let q be x(0). Suppose 2*j + 3*f = f - 4, -3*f = 4*j + q. Determine y(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 59*s + 1771. Determine k(-30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 20.5\nAnswer: 61.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4300735*l - 34*l**2 + 4300735*l - 98 to the form n + k*l + b*l**2 and give n.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 218*o**3 + 75*o**2 - 7165*o + 7165*o wrt o.\nAnswer: 1308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82\/15 - 29\/5. Which is greater: -7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**18)**(27\/4)\/(k**(12\/7))**(-49) assuming k is positive.\nAnswer: k**(411\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t + 1704*t**2 + 2*t - 1717*t**2 + 12. Let d(n) = 4*n**2 + n - 4. Determine -2*a(g) - 7*d(g).\nAnswer: -2*g**2 + g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from kukuuuukuuuuuuuju?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 7:33 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 22*n**3\/3 - 5. Let r be m(1). Solve -5*q - 4*x - r = 0, -1 = x + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41048630 divided by 511?\nAnswer: -80330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*f - i + 122, 0 = -2*f - 4*i - 46. Let m be 65 + (-32)\/(-7) + (-42)\/(-98). Let j = m + f. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000100881 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 363 - 375. What is the second derivative of 120*c**2 - 34*c - 202*c**2 - 68*c + 114*c**s - 46*c wrt c?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.29133 to 2 decimal places.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 60 = 2*y, -4*u - 3*y + 30 + 32 = 0. Suppose 5*g - u = 76. Calculate the remainder when g is divided by 1*-2*(-35)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/((c*(c**(-2)\/c)\/c)\/c*c)*c**(-5)*c*(c**(1\/4)*c)\/((c**(-1\/4)*c)\/c) assuming c is positive.\nAnswer: c**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 158*v + 2212. Let h be x(-14). Sort -3, -8, h, 3\/4, -2\/643 in descending order.\nAnswer: 3\/4, h, -2\/643, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62368*y**2 - 17 - 2 - 62345*y**2.\nAnswer: 23*y**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -41. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from gezohre.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80))**2 + 3 + 3.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 2545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 9*g + 5*i - 5, 4*g = -3*i + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-3*-4)\/(sqrt(40)\/sqrt(5)*-3)*-2 + 1.\nAnswer: 1 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10*c**2 - 3*c + 0 + 12*c + c**3 + 4. Let o be k(-9). Let w be (-5)\/o + (-3)\/(-12). Is w at least as big as -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -3*i + i - 45*i**3 - 36*i**3 + 297 + 0*i**2 + i**2 + 82*i**3. Determine x(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 18.\nAnswer: -5, 14, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1719, 3443, 5149, 6837, 8507?\nAnswer: 10159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + 10431?\nAnswer: 10452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -340, -446, -552?\n\"Answer: -106*h - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10772112 a multiple of 732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16 - 7 + 111*k**5 + 4*k**4 + 7*k**2 - 2*k**4 - 16 wrt k?\nAnswer: 6660*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 - 11*v - 7*v - 3*v + 20*v + 21 to the form c*v + b + k*v**2 and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 300998, 301127, 301256, 301385, 301514, 301643?\n\"Answer: 129*g + 300869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -5)*(8 + -1 - (-221 + 227))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o + 62. Let r be i(-11). Suppose 4 + 1 = -5*m. Let d = 439 + -435. Which is the second biggest value? (a) m (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9\/8, -4, 1, 988\/21, 4, -18 in descending order.\nAnswer: 988\/21, 4, 9\/8, 1, -2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1779641?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -4244.7 to the nearest one hundred.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181701, -181702, -181703?\nAnswer: -181704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.174099 and -1.1?\nAnswer: -8.9915089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 137*m + 26. Calculate w(2).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/3 and 45\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -348052*p**5 - p**3 + 883*p + 11 wrt p.\nAnswer: -6961040*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002198 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = q + b + 1, 4*q + 5*b = 23. Let v = q - 0. Find the third derivative of 5*h**5 - 3*h**v + 6*h**2 - 2*h**5 - h**5 wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 5. Let q(l) = -y*l - 3*l + 3*l. Let z(i) = 4*i - 6*i + 4*i. Determine q(z(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112776 = -2*i + 209824. What is i rounded to the nearest 1000?\nAnswer: 161000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 218 in 0.7, -1\/5, -2\/3, -2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 5*a - 132*z + 130*z, 0 = -2*a - 2*z + 50. Let p be -1*3*(-15)\/(-9). Calculate the remainder when (146\/(-6))\/(p\/15) is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + z - 3*z - 13 = 0, -4*u + 17 = -z. Let h = 3 + -1. Suppose 267 = u*k + 5*b, -h*b + 3*b + 81 = k. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0.3, 2, 3\/8 in descending order.\nAnswer: 10, 2, 3\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from jjjjjjjjwwjjjw?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 457*m. Let q(t) = -4*t - 6. Let k(w) = 1. Let z(y) = -6*k(y) - q(y). What is z(x(a))?\nAnswer: 1828*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 726377?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (59\/28 - 2)\/(26 + 6688\/(-256))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + 6*(sqrt(20)\/(sqrt(2) + sqrt(8)))\/((sqrt(72)*-2 - sqrt(72)) + sqrt(72))*5).\nAnswer: -6 - 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -23458.648020579.\nAnswer: -23455.648020579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t + 30 = 0. Let b = t - 4. Suppose -3*q = -5*f + 6, b*q - 3*f - 3 = -2*f. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10700856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 477614, 955229, 1432844, 1910459, 2388074, 2865689?\n\"Answer: 477615*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 1 + (-4 - -3 - 1) + 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -200*w + 467. Give j(-5).\nAnswer: 1467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**4 - 7 - 170*d**3 + 83*d**3 + 4 + d + 88*d**3 to c*d + r*d**3 + b + w*d**4 + v*d**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 420\/389?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from {m: 1, v: 1, w: 2, l: 2, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d\/(d\/(d*d\/d**(-6)*d*d))*d*d*d)\/(d*d*d\/(d\/d**(-1\/11)*d)*d)*d**1\/d**(-3\/11))**(-2) assuming d is positive.\nAnswer: d**(-338\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 6*j. Let l be o(-6). Let n = l + 6. Calculate the highest common divisor of n and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*k - 24, -24 = 2*s - k + 2*k. Let o = s + 18. Suppose -3*b + 20 = 2*t - 24, 4*b - 4*t = 52. Solve -4*n - o = -b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-4))\/20 - 26\/5. Suppose 3*f + 4*y + 3 = 2, 3*f - 2 = -y. Let w = 0 + f. Put w, -4, v in decreasing order.\nAnswer: w, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/904650 and -1\/484110.\nAnswer: 89560350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 50. Which is the third biggest value? (a) m (b) 3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16113, -16416, -16711, -16998, -17277, -17548, -17811?\n\"Answer: 4*j**2 - 315*j - 15802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/5 - 194*b**3 + 236193*b**2\/5 - 93896*b + 234256\/5.\nAnswer: (b - 484)**2*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-7) + (-58918)\/1246.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 301616905 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/2)\/(i*i**(-1))*i**(-6)*i\/i**(2\/3)*((i*i\/(i*i**(-1\/3)))\/(i*i\/(i\/(i\/i**(-9)))))**(8\/3) assuming i is positive.\nAnswer: i**(-557\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384\/4800 - 352\/25.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16 + (2 - 3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5 + 94*s**4\/9 + 146*s**3\/9 + 82*s**2\/9 + 4*s\/3 = 0.\nAnswer: -3, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 276518?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**5\/60 - l**4\/3 - 5*l**3\/6 + 2*l**2. Let q(c) be the first derivative of n(c). Let h be q(-6). Solve -h*a + 10 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12548?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.5 (c) 2 (d) 303.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/227, -3, 0 in increasing order.\nAnswer: -3, 0, 2\/227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*-4*21\/18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)\/(k*k\/k**3))**(2\/39) assuming k is positive.\nAnswer: k**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.8. Let b = -6049 - -6048.95. Sort b, 4\/7, d in increasing order.\nAnswer: d, b, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52580 and 4752?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**3 + 153430*i**2 + 45*i + 15445516?\nAnswer: 6*i**2 + 306860*i + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-62)\/961 - (-211362)\/62?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9354242 is divided by 2784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 405101 and 7076.\nAnswer: 1769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 14*h + 2. Let m(k) be the second derivative of -k**4\/12 + 5*k**3\/3 - 9*k**2\/2 + k. Let w be m(7). Let o(t) = -t. Calculate w*o(z) + j(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1731300 rounded to the nearest ten thousand?\nAnswer: -1730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -4\/11, 2\/3, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.26 + 0.62. Let g = v - -0.14. Which is the nearest to 0.1? (a) 2 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88 - -153) + -6 + 4 + -3?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 73 = -13. Let c = -9 + 27. Solve -3*o = 9*w - 4*w - c, 3*o + 4*w = s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-2 - 2) - -7. Suppose p*x - 11*x = -8. Suppose -97 = -x*w + 3*y, -4*w + 147 = -w - 3*y. Does 25 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208400 - -137069. Let i = t + 45720. Let n = -8611 - i. Round n to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = -2*o + 6*m, 2*m + 4 = 4*o. Let v(x) be the first derivative of -4 - 2*x - 1\/3*x**3 + x**2. What is v(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2911*q = -7711*q + 288000 for q.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*h - 20*h - 11*h**2 in the form p + m*h**2 + u*h and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -84074744 and 152.\nAnswer: -84074592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 157*k**2 - 639*k - 214. Calculate w(-161).\nAnswer: -1019","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 22 - 21 + 3*n)*(2 - 1 + 0)*(-1 + 3 - 3).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 8:10 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4477 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -4a9?\nAnswer: -4a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305493 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.49 - 1.4356. What is q rounded to three dps?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 - -52. Suppose -3*n - 5*b - 1 = -5*n, 0 = 3*n + m*b + 46. Let z = 19 + n. Solve -z*j + 2*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 + 29*v**2 - 15*v. Let z be m(-15). Let l(y) = y + 8. Let n be l(z). Suppose -2*r = -6*r + n. What is the third smallest value in r, 3\/2, -3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {v: 1, w: 1, r: 11}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v**3 + 7*v**2 + 3*v. Let q(x) be the first derivative of x**2 + 0*x + 5\/3*x**3 + x**4 + 1. Determine 7*q(a) - 5*u(a).\nAnswer: -2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3971.583 centuries?\nAnswer: 39715.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5741 + 15532. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (5 - (4 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 6*l**2 - 17*l - 71. Let v be u(-7). Let m be 4\/3*1\/(-4). Let g = -32.6 - -22.6. Which is the closest to m? (a) g (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/45 - (-96)\/(-30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2416, 4, -5, -2.\nAnswer: -5, -2, 4, 2416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 8. Let y(x) = 0 + 11 + 15*x + 14*x**2 - 4 - x**3 - 3. Let i be y(b). Solve -z = z + i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q**2*t**3 + 47*q**2*t + 7*q**2 - q*t**5 - 5*q*t**4 - q*t**2 wrt t?\nAnswer: -30*q**2 - 60*q*t**2 - 120*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 216 = 33*n. Let x(v) be the third derivative of -v**6\/120 - 2*v**5\/15 - v**4\/12 + v**3\/6 - 154*v**2. Give x(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i. Let q(z) = 0*z + 4*z + 0*z - 2*z + 5. Let a = 15 + -10. Let g(f) = 2*f + 4. Let m(u) = a*g(u) - 4*q(u). What is k(m(d))?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17633*y**3 + 11*y**2 - 63*y - 761902616 with respect to y.\nAnswer: 52899*y**2 + 22*y - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 762529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 456?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*z - 2. Let g(j) = j**2 - 8*j + 1. Let v be -1 - 9\/(-6)*6. Let i be g(v). Put i, 0, z in increasing order.\nAnswer: z, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (0 + -20 + 23 + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 0, 5*s - 4*b + 26 = 76. Suppose -4*t + s = 38. Let m = -7 - t. Solve -2*d - 3*d + 10 = m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1482718 (base 14) to base 3\nAnswer: 200210210121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k - 3*k + 2*k. Let s(a) be the second derivative of -a**5\/120 + a**3\/2 + 7*a. Let h(n) be the second derivative of s(n). Give c(h(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/42 - 31\/7*-1. Let y(s) = 28*s**2 + 16*s - 10. What is the tens digit of y(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15342074 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7638 by 201.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**4\/c**(1\/3))\/(((c**(12\/5)\/c*c*c)\/c*c*c)\/c*c*c*c*c**(4\/9)) assuming c is positive.\nAnswer: c**(-143\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1695202*b - 1973329.\nAnswer: 1695202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -457 (base 9) in base 16?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3098*q + 3091*q = -28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1849538\/11 or -168139?\nAnswer: -168139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13853 to three decimal places.\nAnswer: -0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/((-240)\/(-345)) - (880\/20 - -17).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*484343.\nAnswer: 968686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -7\/6*w**3 + 1\/2*w**4 + 207*w**2 + 0 - 1\/30*w**5 + 0*w. Determine k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335756 is divided by 6583.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/16439 > 3287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -55.5. Let n be (602\/21)\/((-1)\/3). Which is the second smallest value? (a) 3\/5 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 + 86*m + 50. Calculate w(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1693412621 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*(-1)\/((-8)\/(-4))*490\/105?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r - 125406 = -3*u - 23*r, u + 2*r = 41787. List the prime factors of u.\nAnswer: 7, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1815b19 (base 12) in base 10?\nAnswer: -5007621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 - 18. Suppose 0 = -3*s + s + q. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s = 15952 - 15490 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q**2 - 3*q. Let n(u) be the first derivative of u**3\/3 - u**2\/2 + 26. Determine 3*n(h) - p(h).\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l + 2\/7*l**4 + 0*l**2 + 0 + 12\/7*l**3.\nAnswer: 2*l**3*(l + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24244822, -24244824, -24244826, -24244828?\nAnswer: -24244830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a61 - 10?\nAnswer: a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**3*n)**(-16\/3)\/(((n*n*n**(-1\/4)\/n)\/n)\/(n*(n*n\/(n**(-16)*n)*n)\/n)) assuming n is positive.\nAnswer: n**(283\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/9)\/m**(8\/9) assuming m is positive.\nAnswer: m**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14, 27, 38, 47, 54, 59, 62?\n\"Answer: -d**2 + 16*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 0*g**2 - 25\/12*g**4 + 125\/12*g**3 + 1\/8*g**5 + 17 - 13*g. Let s(z) be the first derivative of r(z). Solve s(a) = 0 for a.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-15))\/((-208)\/(-65))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 9.64?\nAnswer: -0.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1080373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -94 - (304 - (256 - -38))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*f**2 + 3*f**2 - 42*f**6 + 59*f**6 wrt f?\nAnswer: 2040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78dd6 (base 14) to base 16\nAnswer: -47ae0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/45 - 1) + (-19)\/((-1995)\/(-56)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + 1*(sqrt(432) + 0 + -2 + (sqrt(432) - (3 + sqrt(432) + 4))) + 0.\nAnswer: -9 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by -65?\nAnswer: 54\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-485 + 231 + 335)*(2*x**3 - 2*x**2 + 2*x**2).\nAnswer: 162*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 3*j + 3*j**4 - 3*j + 13*j**2 to t*j**4 + c*j**2 + x + d*j + h*j**3 and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -10*q**2 + 4*q**2 + 7*q**2. Let p(b) = -b - 22. Determine c(p(l)).\nAnswer: l**2 + 44*l + 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 883.1 - 0.3.\nAnswer: 882.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/15, -0.4, -151, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -63*c + 62*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68216.1 centuries to millennia.\nAnswer: 6821.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 + 5*y - 380 + 191.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1627*d = 5*s + 1631*d - 23, 5*s = -5*d + 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*n + 74259, 67*n = 63*n + 2*h + 59382. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y - 26*y + 6*y - 7*y.\nAnswer: -29*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 16*s**2 + 28*s + 4. Determine c(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/9 - 10*w**2\/9 - 3512*w\/9 + 3520\/9 = 0. Calculate w.\nAnswer: -40, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 2751335?\nAnswer: -3\/550267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -9. Let s(i) = i**2 - 11*i - 9. Let l be s(b). What is the biggest value in -2\/13, l, 4\/3, -17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**5\/10 + 7*q**3\/6 + 11*q. Find the second derivative of p(m) wrt m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o - 4*o - 3*o + (-3 + 3 + 3*o)*(2 - 4 + 5) + 3 + 3*o - 2*o - 4 as h + t*o and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 47800000 to the nearest 1000000.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duuopuurp. What is prob of sequence udro?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 86. Calculate the common denominator of (-18)\/30*37\/2 and 3\/(-6) - p\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31 + 63 - (133 - 5)) + 19.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.048 - 0.048. Which is greater: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -300 greater than -299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -33?\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 762041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -1\/422?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17110814 = 39*l - 2600137. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, v: 5}. Give prob of picking 4 e.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*u = -5*r - 3, -5 = -5*u. Suppose -15 = -10*c + 5*c. Suppose c*x + 4*m = -8, -3*x - 5 = -5*m + 12. Sort r, -5, x in descending order.\nAnswer: r, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {s: 2, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 - 14*g + 14243. Is x(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -1561*v. Let o(d) = 6*d**2. What is a(o(t))?\nAnswer: -9366*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*v - 24. Let d be -2 + 6 + 5 + -2. Let r be d - (v + 6*-1). Solve a - 1 = 2*a, a - r = 2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o**4 + 0 + 0)*(-2 + 1 + 5) + (3*o - 3*o + 6*o**4)*(1 + 1 - 1) in the form r*o + w + f*o**3 + k*o**2 + v*o**4 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -2 - (-1 + -9 + 7 - 11).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7950*f + 35. Let j(k) = 218624*k + 960. What is 192*d(p) - 7*j(p)?\nAnswer: -3968*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.1, 22\/13, -603, 0.5, -0.02, -5?\nAnswer: -603","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 22*w - 5. Let p be l(2). Let g = -34 + p. Find the second derivative of -18*t**5 - 6*t + 13*t**g - 17*t**5 wrt t.\nAnswer: -440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 34*k - 3. Let y(x) = 2821*x - 248. Calculate 248*n(t) - 3*y(t).\nAnswer: -31*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 h when four letters picked without replacement from uwhuwhbhubhuuhbuh?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 55 = 5*d, -4*p + 54 - 98 = -2*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -7970\nAnswer: -7952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 52*x**2 - 107*x - 54. Let l be t(54). Let z be (35\/29)\/(-1) + 1. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*d + 7. Suppose -4*m + 5*m - 25 = -5*w, -d*m = 3*w - 15. Let q be (-4 + w)*(0 + -1). Let n(y) = 12*y**3 + 2*y**2 + 2*y + 1. Give n(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 15*x**2 - 49*x - 94. What is l(18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 148?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 891*l + 7106. Calculate b(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-17 + -1 - (-21 + 16)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1206415 divided by -5\nAnswer: 241283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 1\/((-5)\/(-9 - 1)) + (-371)\/(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -703366 divided by -1\nAnswer: 703366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 124 = 36*q. Let x(p) = -10*p**3 + 4*p**2 + p - 9. Is x(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 170247887 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h + 4. Give i(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/40)\/(3\/(-15))*-1. Suppose 1 = -l - b*h, l - 6*l - h + 13 = 0. Factor 0 + 0*y + 2\/9*y**2 + 2\/9*y**l.\nAnswer: 2*y**2*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = 19. Suppose -o*f + 12*f = -70. Let j(m) = m**3 + 9*m**2 - 9*m + 3. Calculate j(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**2 - 103*n + 7. Give g(-26).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 3 - 3)*(-4 + 2 - 42*r - 3160*r) to j + g*r and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = n + 2*m, -504 = -10*n + 2*m - 476 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 29*j + 3. Let g(h) = -33*h + 2. Let m(c) = 65*c - 3. Let w(n) = -7*g(n) - 4*m(n). What is -2*t(y) - 3*w(y)?\nAnswer: 29*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 25*d**3 + 1598*d**2 - 110*d - 519. Give t(-64).\nAnswer: -1671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28628*z**2 - 429380*z + 600 = 0.\nAnswer: -15, 10\/7157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -280\/339 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-30))\/((-12)\/80). Let p = 47\/63 + k. Sort 0.2, 1, p in descending order.\nAnswer: 1, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -594 divided by -99?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - v + 22. Let z be w(0). Sort z, -4, 1\/4, -3 in ascending order.\nAnswer: -4, -3, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40.83 - -0.83. Let l = -185.1 + 222.1. Let t = l + s. Is -0.3 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 6*d + 7*d + 1096, -l = -3*d - 208. What is the greatest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.0253 rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -659 less than -658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*s**4 + 1033*s**3 - 53099007*s**2 wrt s?\nAnswer: 288*s + 6198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 3, b: 4, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + -59)*(-824)\/515 - (-3 + 11)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 54*t + 406. Give a(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*g**2 - 17 + 17)*((3 + 1 - 5)*(2*g - 4*g + 0*g) - 4*g + 2*g + g + 52*g - 41*g + 63*g)*(-1 - 2 + 2).\nAnswer: -750*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14.366*-0.1\nAnswer: 1.4366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + -1 + sqrt(3) + -5))**2*1.\nAnswer: -8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/7 - 45426*o\/7 - 863455\/7.\nAnswer: (o - 45445)*(o + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - k - 4. Let x = 69 - 55. Let s be 4\/x - -12*3\/(-126). Give i(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 459*v + 42957. Give q(-135).\nAnswer: -783","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 42 = 3*b. Let x = -1 - -2. What is the remainder when b is divided by -6*(x + (-7)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 4146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.899295 millimeters to meters.\nAnswer: 0.004899295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-116 - -105 - (0 + -45))) + 12\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012521.\nAnswer: 3, 43, 47, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*b - 104 = 0, -s + 4*b + 4 = -b. What is the remainder when 4790 is divided by s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30542 - 202330?\nAnswer: -131344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*z - 15, -58 = -5*t - 2*z - 31. Let f be 0 - t\/((-35)\/(-10)). Which is greater: f or -16?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1524*b + 3218*b - 12 + 8 - 1590*b + 4.\nAnswer: 104*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y + 6. Let g(l) = -3*l + 12. Calculate 3*g(j) - 7*n(j).\nAnswer: 5*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 0 - (-12 + 6)) + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -470\/7 - -67. What is the biggest value in i, 1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -289, -27, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a**3 - 10*a**3 - 13*a**3 + 3*a - 3*a - a**3 + (-4*a + 2*a + 0*a)*(3*a**2 + 0*a**2 - a**2) - a**3 + 2*a**3 - 3*a**3 - 19*a**3 + 32*a - 32*a.\nAnswer: -58*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 140*r - 307. Let n be m(-72). What is the third smallest value in n, 0.4, 0.1, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 3, -2\/9 in descending order.\nAnswer: 64, 3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 101376 and 12276?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2453213 is divided by 3613?\nAnswer: 3599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, b: 2}. Give prob of sequence lblb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 4*i**3\/3 - 44*i**2 + 160*i - 176. Determine v so that t(v) = 0.\nAnswer: 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/6)\/(o*o\/(o**(3\/4)*o)))\/((o*o**(-3))\/o*(o\/(o**(-7)\/o))\/o*o*o)*(o**7\/(o\/(o*o*o**(-5\/2)\/o*o)))\/(o**(-7)*o\/o**(1\/3)) assuming o is positive.\nAnswer: o**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079208598 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -8*i**2. Let v = 2139 - 2139. Let j(b) be the first derivative of 9 + 1\/3*b**3 + v*b + 0*b**2. Calculate r(j(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*s + 3*x + 19, 3*s - 89 = -2*x. Calculate the remainder when 113 is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m + 43. Let b be j(-5). Suppose 4*g - 3 = g. Calculate the remainder when 131 is divided by 480\/b + g\/(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/27 + 176\/(-6). Let y = 26 + g. Let j be 31\/y - (40\/12 - 4). Is 0 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 17*o - 19. Determine m(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -523 divided by -1.\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -13*((-2 - 2) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -2*d**7\/231 + 23*d**6\/165 - 49*d**5\/110 + 37*d**4\/66 - 3*d**3\/11 - 5*d + 248. Solve y(r) = 0 for r.\nAnswer: 0, 1\/2, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + j = -10, j + 2 = 4. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120002212100 (base 3) to base 7\nAnswer: 2345601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -8380000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**6*g**(1\/4)*(g**(-1\/4))**(-22\/5) assuming g is positive.\nAnswer: g**(147\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1292*i + 138237 = -3635*i for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**6\/2 + 2*l**5 + 93*l**4\/4 + 148*l**3\/3 + 18*l**2 - 32*l - 220. Solve b(i) = 0.\nAnswer: -2, -1, 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38934 and 84.\nAnswer: 77868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -414243210 + -2?\nAnswer: -414243212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -13, 14, 63, 140, 251, 402, 599?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + 2*s**3 + 2*s**3)*(20*s + 33*s + 25 - 28 + (3*s - 5*s + 4*s)*(9 + 1 - 3)).\nAnswer: 134*s**4 - 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/((-30)\/(-5))*((-29)\/58)\/((-3)\/(-16)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i + i)*(-1 - 13 - 16)*(2*i - 3*i - i).\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 159830163 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -100, -4\/53?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 238 + 144 + 126*s - 267 wrt s.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 9*z**2 - 9*z - 4. Let i be y(-8). Suppose 0 = i*j + a - 91, -5*a + 100 = 5*j - a. What is the highest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3 - -3) + -19 + 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2150505 (base 6) to base 13.\nAnswer: -3a079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9*o**3 + o**2. Suppose 0 = -6*k + 6. Give m(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + -39 - ((-3224)\/(-230) - (39 - 38))?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -12207248.\nAnswer: 5\/12207248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5))**(4\/17)\/(u\/u**(-2\/5)*(u**(-21)*u*u)\/u) assuming u is positive.\nAnswer: u**(1577\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.59020314 rounded to 3 decimal places?\nAnswer: 1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152.2 + 697.8. Let c = 850.000895 - q. Round c to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhvahhts?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 105. Let s = 40 - h. Suppose s*c - 4*c = 753. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:12 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51078390 or -1?\nAnswer: 51078390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 9\/(-8) - (-209)\/88\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5 - 2*g**2 + 18*g + 1 - 4 - 13. Let c be q(6). Suppose -1 = z - 4*m + 2*m, -z + m = 0. Solve 0 = -o + 2*l + l - z, 5*l = 5*o + c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/37694817 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 + -10)\/(2\/116). Let g = d + 93. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002182869 to 6 decimal places.\nAnswer: -0.002183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 188\/3*r + 78\/5*r**2 + 14\/15*r**3 - 96\/5 = 0. What is r?\nAnswer: -9, -8, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 8:31 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -736150 minus 0.017?\nAnswer: -736150.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 27\/45 + (-147515129)\/(-35). Let f = 650053807\/154 - d. Let b = f - 6405. Find the common denominator of 101\/56 and b.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 - 46. Let n = -64 - -46. Let j = n + p. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16.4 + -16623067\nAnswer: -16623050.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -367 + 73. Let a = 298.69 + c. Round a to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**2 + 11*p**2 - 7*p**2. Let s(o) = 5*o**2. What is l(s(i))?\nAnswer: -25*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y = -4*f + 232, -4*y + 3*f = -246. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 7. Let r be y(6). Suppose -3*a - 7 = -4*k + 16, -4*a + 21 = r*k. What is the second derivative of 2*q - 3*q**5 - k*q + q + 4*q wrt q?\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 34838, 23806, 12774, 1742?\n\"Answer: -11032*y + 45870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 325 - 432. Suppose -4*x - 1372 = -4*j, j + 2*x - 426 = -98. Let s = a + j. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3142010?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/11)*t)**(-2\/5))**(-1\/41) assuming t is positive.\nAnswer: t**(48\/2255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5\/6, -0.2, 0.2, 11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1588.5301 and 0.5?\nAnswer: -794.26505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 1)*(0 - n + 0) + n - 5*n + 2*n)*(1 - 2 - 1 + (-2 + 6 - 2)*(2 + 0 + 0) + 0 + 4 + 1) - 2*n + 4*n - 3*n.\nAnswer: -22*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (184\/(-69))\/((-2)\/3). Let c be (-2)\/((-27)\/6 + m). Suppose 5*b - y - 1315 = 0, -3*y = -b - c*y + 263. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 956*t + 98. Let m(o) be the second derivative of -319*o**3\/6 - 33*o**2\/2 + 26*o. Let h(f) = 6*d(f) + 17*m(f). Is h(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 2*y**2 + 112*y - 408. Let n be v(-13). Let h = -0.6 - -0.2. Which is the second biggest value? (a) n (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 539, -8, -1, 7460 in ascending order.\nAnswer: -8, -1, 539, 7460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 24, -31, -1.\nAnswer: -31, -2, -1, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**3 + 23*r**2 - 15*r - 14. Let p(g) = 5*g**3 + 25*g**2 - 16*g - 12. Let z(k) = -6*o(k) + 5*p(k). Determine z(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 1675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 54. Let c = 33 + s. Suppose -3*v - 3*t + 136 = c, 132 = 4*v - 4*t. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 34 = -3*i, 7*b + 4*i = 3*b - 48. Let v be 7*-2*(-30)\/6. Suppose 16*q - 21*q - v = 0. Are q and b non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.1 (b) -0.5 (c) -3940\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 679281531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Let p(x) = 380*x. Calculate p(c(v)).\nAnswer: -380*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8017812403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2076 + 878?\nAnswer: 878.2076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373996?\nAnswer: 2, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 8*v = -57. Let n = v + -55. Differentiate -9*l**2 - 7*l**2 + 5*l**2 - 6*l**n + 23 wrt l.\nAnswer: -34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 629170736?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -41. Let h be ((-12)\/(-9))\/((-4)\/30). Let x = h - -32. What is the remainder when x is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -245018 or -490037\/2?\nAnswer: -245018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104462 is divided by 219.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2\/13 (b) 0.09 (c) -3 (d) 2\/15 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78\/273*(56 + -7) and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.170402122 rounded to 5 dps?\nAnswer: 0.1704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2085 and 1705.\nAnswer: 710985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, n: 3, a: 1, c: 3}. Give prob of picking 1 c and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3755 is divided by 26?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 7:43 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -691471632 and 2.\nAnswer: -691471630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15344224 and 518?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.186 - 0.486. What is the closest to -0.089 in x, 1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.037022 + -0.04146. Round t to 4 decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - 2 + 2 + (-j - 3*j + 6*j)*(2*j + 4*j - 4*j) + 0 + 2*j**2 + 0 - 1 - 84*j**2 - 80*j**2 + 176*j**2.\nAnswer: 16*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from hhzhizhehiziihhhhh?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 484780, 5, -37 in descending order.\nAnswer: 484780, 5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.48 (b) 1 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 9 + 1)*(66*c - 55*c + 129*c)*(1 - 1 - c) as t*c + j + l*c**2 and give l.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*sqrt(5)*-3)**2 + sqrt(25)\/(sqrt(5)*4) + 4.\nAnswer: 433*sqrt(5)\/4 + 1633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/((-3900)\/845)*112\/26?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - 134130110?\nAnswer: -134130041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 28 = m, -8926*m + 8925*m - 4*t = -36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1468015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 less than 214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7616093?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 12 = -3. Let a be w\/4 + (-20)\/16. Is a greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, -7.1, 1.2, 0.09.\nAnswer: -7.1, -2, 0.09, 0.5, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559333209?\nAnswer: 3, 547, 340849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -6379, 0.1, -25?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 115*m + 3 + 940*m - 208*m - 3 to f*m + b and give f.\nAnswer: 847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/141*(-634)\/(-1268).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -179902?\nAnswer: -179902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 5*k**2 + k + 4. Let z be h(-5). Let m = 689 + -2065\/3. Which is the nearest to m? (a) z (b) 5\/6 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 - -117. Suppose 0 = -2*v - 2*v - 272. What is the units digit of 3*(v\/x - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyppyyyyyyy. What is prob of picking 2 y?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*x - 14, -2*z + x + 2 = -3*z. Let j(c) be the third derivative of -1\/6*c**4 + 1\/3*c**3 + 0*c + 1\/30*c**5 + 0 - c**2. Give j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 - 8*i**2 - 5*i + 9. Let k(a) = -a**3 - 1. Let z(y) = j(y) + 3*k(y). Let w be z(-7). Let d(s) = 5*s**2 + 9*s + 11. Is d(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52811 (base 9) to base 3\nAnswer: -1202220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 11*q - 12*q - 7, -5*q - 5 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(171) - (sqrt(171) - (sqrt(171) - sqrt(171)*-3)) - sqrt(171))*-5)\/(((sqrt(27) - sqrt(2187)*2) + sqrt(27))\/sqrt(3)))**2.\nAnswer: 38475\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66472748 to the power of 1\/2, to the nearest integer?\nAnswer: 8153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1373*d**2*s + 13764539*d**2 + 3*d*s - 1718*s wrt s.\nAnswer: 1373*d**2 + 3*d - 1718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.28 + -11.38. What is the nearest to f in -9, 0.6, -3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43872021?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31930782 to the nearest integer?\nAnswer: 5651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.6 + 10. Let a = -2 - m. Round a to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10 + -2 + 12)\/((-2)\/1). Let i(r) be the third derivative of 5\/24*r**3 - 5\/96*r**4 - 3*r**2 + a + 0*r - 1\/24*r**5. Find t, given that i(t) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 2*c**2 - 116*c + 133. Determine u(11).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-24)*10998\/(-705).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23477 rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8329*v**2 - 23*v**4 - 42*v**4 - 2*v**3 + 8287*v**2 wrt v.\nAnswer: -1560*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x. Let r(t) = t**2 - 159*t. Determine r(y(p)).\nAnswer: 9*p**2 - 477*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 84*j - 34*j - 224 = 0, x + 23*j - 4 = 9*j + 16*j for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.02, 0.4, -18 in descending order.\nAnswer: 5, 0.4, 0.02, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -179.6 - -180. Let p = 3 - 3.4. What is the third biggest value in p, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkz when three letters picked without replacement from {k: 1, z: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from votllmmtmt. Give prob of sequence mt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*j - 90000. Suppose 0 = -7*d + d - j. Let h be (-1237 + 1)\/((-6)\/d). What is h rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and 48828.61?\nAnswer: 8300.8637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -21*l + 77. Let s(z) = 2*z. Let r(d) = o(d) - 14*s(d). Differentiate r(n) wrt n.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**2 + 6*q**2 + 2 + 5 + 7*q**2 to h + n*q + f*q**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 620 + -614. Let d(s) = s. Let b(i) = -2. Let l(n) = y*d(n) - 2*b(n). Determine l(-7).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2691612 and 43\/5852217.\nAnswer: 772492644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**3\/2 + d. Suppose -3*p - p = 3*w - 17, 0 = -4*w + 12. Let n(m) = -2*m + p*m + 2*m. Determine f(n(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23211 + 48660 = 22*l + 14407. What is the remainder when l is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/5)\/((-2)\/(-5)). Let q = 20685185\/152 + -544347\/4. Calculate the common denominator of q and -2*(-34)\/(-56) + i.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 96 = 4*o. Suppose t + 24 = -o. Let p = 223\/4 + t. Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - r**4 - 5*r**3 + 3 + 5*r - 6*r + 4 in the form l*r**3 + x*r**4 + y + o*r + p*r**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1. Let n(w) be the first derivative of 1\/3*w**3 + 0*w**2 + 3*w + 25. What is 6*l(f) + 2*n(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 0 - (1 - 6 - -3)) + 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 530 and 80?\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 42. Find the first derivative of -26*s - w*s + 31*s - 2 wrt s.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, 5, 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2084 - -481403\/231. Let j = -2\/21 - i. Which is the third smallest value? (a) -1\/7 (b) 1\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 1497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.889 rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2677 (base 9) to base 15\nAnswer: 8e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 4*y**2 + 5*y + 3. Let l be s(-3). Let v(z) = -2*z - 4. Let c be v(l). What is the units digit of (-2*3\/(-1))\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40773159 by 301.\nAnswer: -135459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (-34)\/68*6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 5*v + 16. Let n be h(6). Suppose -3*c + 19 - n = 0. Solve 10 = -c*z - 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**2\/7 + 313*o\/7 - 220 = 0?\nAnswer: 5, 308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -115, -108, -97, -82?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8406959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-15))\/(10\/(-15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*k + 13 = 0, -5*l + l - 4 = 2*k. Let y be (3 - 31) + 1 + l. Let t = y + 37. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**4\/8 + 22*x**3\/3 - 6*x**2. Let m be v(-17). Let g = m - -19. Calculate the greatest common factor of 8 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(4\/(-6))*(-3 - -1). Suppose 3*j - 309 = -5*x, -136 - 197 = -3*j + s*x. 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: Find the second derivative of 368427*p*r**2 - 7*p*r - 1608*r + 1 wrt r.\nAnswer: 736854*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194\/31 + -32095\/5084. Find the common denominator of p and 55\/2.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 150\/20*12392\/5. Let o = c - 8033. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + (-713)\/93)\/(8\/(-54)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 22 = 4*b - 2*p, 88 = -4*b - 2*p. Let w be 6 - 6*22\/(-9). Let x = b + w. Put x, 1, 0.07 in decreasing order.\nAnswer: 1, 0.07, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + j = 44085 - 793062, -3*j - 1123458 = -3*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -7*i**2\/6 + 571593*i\/2 = 0?\nAnswer: 0, 1714779\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.97 - 3?\nAnswer: -174.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -292, -27 in descending order.\nAnswer: 4, -1, -27, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**4 - 2*n**2 + 7*n**3 - 9*n**3 + 1 + 2 - 2 as j*n**4 + i*n**3 + b + d*n**2 + x*n and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*i - 415. Suppose 0 = 4*c - 3*t - i, 3*c - c = 3*t + 49. Calculate the highest common factor of c and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1583\/66 - 16\/33. Let k = 2\/7295 + 751373\/43770. Find the common denominator of f and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-138)\/6*11\/(-1) - -1. Suppose 3*z = -80 + i. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q - 256 = 63. Let v(b) = b**2 - 4*b - 7. Let t be v(5). Is 979\/q - (-3 - t) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = t - 53 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7581 less than or equal to 7582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -228334662?\nAnswer: -228334665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 19*n**4 - 8 - 18*n**4 + 3*n)*(-3 - 4 + 0).\nAnswer: -7*n**4 - 21*n + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -22408 (base 10) to base 15\nAnswer: -698d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30328?\nAnswer: 2, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6 = 2*y, 14 = 5*y - 5*a - 1. What is the third derivative of 2*k**2 - 26 + 31 + 8*k + 3*k**2 + 69*k**y - 8*k wrt k?\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*(53 - 47)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2. Let i(d) = d**2 - d + 6. Let l(r) = -386*r**2 - 2*r + 12. Let x(v) = -8*i(v) + 4*l(v). What is a(x(j))?\nAnswer: -4817408*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 936685*i + 268586.\nAnswer: 936685","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-20)*(x\/(x**25*x))\/x)\/(x**(-9\/8)*x*x**(-16\/5)) assuming x is positive.\nAnswer: x**(-1707\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = c + 8. Let a = -167\/6 + 28. Factor -a*o**c + 0*o + 1\/6*o**3 + 0.\nAnswer: o**2*(o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.44 (c) -2 (d) 266 (e) 2\/7 (f) 3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*l - 16*l + l - 3 + 3 - 2*l + (0 + 2 - 3)*(-3*l + l + 0*l) + l - 4*l + 5*l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3591*h**3 - 3031*h + 3594*h**3 + 3031*h.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 9) to base 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 z when three letters picked without replacement from zmcccqmpzppcqcrzcpp?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4295 is divided by 3320.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -22*d + 5. Suppose 0*w + 2 = -w. Let x be r(w). Let g be -2 - x\/(-2) - 3\/(-2). Calculate the greatest common divisor of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 17, 8, 774?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-120)\/(8\/4) + 0. Let w = -20 - b. What is the remainder when w is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31003134144 + 2?\nAnswer: 31003134201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34 + -15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 4*q**2 - 6*q - 4. Give f(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**(-1\/4)*l*l**2*l)**(-28) assuming l is positive.\nAnswer: l**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -312, -704, -1252?\nAnswer: -1956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(50))\/sqrt(10) + -3 + (-3 + sqrt(245))**2 + 0.\nAnswer: -47*sqrt(5) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23550?\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/5)\/1*(-254)\/127.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 18 = -5*d. Let k be 4\/d*18\/78. Let t = 3 - 2.8. Is t > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/6 - 215623*g - 139479834387\/2.\nAnswer: -(g + 646869)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ullu when four letters picked without replacement from llloluuvouuuu.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 4\/2)*1\/(-1). Let a(u) = -4*u + 2. Let p be a(w). Suppose -2*g + p - 8 = 0. Solve 3 = 5*f - 3*s - 28, -g*f = -3*s - 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 10) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 8*c**2 + 6. Let h be d(8). Let t(a) = -5*a - 17 + 3*a + 13. Let p be t(-6). Solve 4*b - h*b = -p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*b - 137*b**2 + 58*b**2 + 2 + 78*b**2 + 2 - 3.\nAnswer: -b**2 - 164*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**3 - 2*k**2 - k + 4. Is f(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-6))\/7*1\/((-35)\/(-30)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8377829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112 - 10?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-170 + 170 - 39*g**3)*(-4*g - 2*g + 5*g + (3 + 0 - 4)*(-5 + 5 + g) + 155*g + 40*g + 39*g - 1) as r*g**3 + k*g + l*g**4 + z*g**2 + v and give l.\nAnswer: -9048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 591*w**2 + 777*w**2 - 128*w**2 + 805*w**2 + 335*w**4 - 619*w - 180 - 1615*w**3 + 34*w = 0. Calculate w.\nAnswer: -12\/67, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*f - 46*f + 84*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 2448175752*s + 374597782042547844.\nAnswer: 4*(s + 306021969)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1419\/(-154))\/43*(1 - 3). Let y(g) be the first derivative of -2\/7*g**3 - t*g**2 - 1\/14*g**4 - 2\/7*g - 3. Factor y(u).\nAnswer: -2*(u + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 36. Suppose -5*u = x*u - 1837. Let s(k) = -u*k - k**2 + 0*k**2 + 167*k. Let t(v) = 12*v**2. Determine t(s(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12397\/231)\/((-1008)\/(-270)))\/((-3)\/4)?\nAnswer: -115\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 64*t + 1691. Let w be o(-82). What is the highest common factor of 9073 and w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(30)\/sqrt(3)))\/sqrt(9) - ((-2*sqrt(162)*5 - sqrt(162))**2 + sqrt(162)).\nAnswer: -19602 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/17)*n**(-1\/6))\/(((n\/(n**(-1\/7)\/n))\/n)\/(((n*n*n\/((n**(-3\/5)\/n)\/n))\/n)\/n*n*n)) assuming n is positive.\nAnswer: n**(14897\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.8 - -9.2. Let l = -11.515192 - 0.483858. Let d = l + b. Round d to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -2, -6, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -4*i + 4, -2*s - 3*i = -6*s - 17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37051698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1082 - 1082.0000000602. Round o to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (2\/(-4) - 0). Let x = -133.149 - -0.149. Let l = x - -133.05. Which is the nearest to -2? (a) w (b) l (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/4*(-4)\/(-6). Let v be 88\/2*1*(j + -8). Let m = 256 + v. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y. Let z(j) = -j - 6. Let d(q) = -4*u(q) + z(q). Let f be d(4). Let w = f + -2. Solve -5*k = -w*g - 6, 4*k + 3*g = 8*g + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -132*h*m**3 - 337*h*m**2 - 573*m**5 + 2*m**4 - 1620*m**2 + 2*m wrt m.\nAnswer: -792*h - 34380*m**2 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (3 - 44\/(0 + 4)). Solve -4*f + 0 + y = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 20 = 0, 4*w + 698141 = -5*h + 2833114. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11470*d**2 + 154*d - 1932212?\nAnswer: 22940*d + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -589, -5 in ascending order.\nAnswer: -589, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.5, 7, 5, 1, 22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q - 36. Let d be 1 + (-4 - -2) + 11. Determine c(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10 - 11 - (1 - 18*2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 103*p = 102*p - 2 + 8, -5*p = u - 36 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111111 (base 3) to base 7.\nAnswer: 12364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*c + 7, 3*c = -4*l + 17978. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 12:28 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13e29 + 0?\nAnswer: -13e29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33639 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 48 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -459, -364, -223, -36, 197, 476, 801?\nAnswer: 1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 168\/(-55) + 16\/(-40). Let c = i + 5. What is the common denominator of -115\/14 and c?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 465 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (110\/132)\/((-135)\/(-36)). Which is the third smallest value? (a) m (b) 5\/2 (c) -0.2 (d) 1\/11 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3692286, -7384595, -11076916, -14769255, -18461618, -22154011, -25846440, -29538911?\nAnswer: -33231430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((-7 - (2 + -2)) + 57 + -51).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1308*i + 1 + 24 + 799*i + 5.\nAnswer: 2107*i + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8347, -16695, -25047, -33403, -41763, -50127?\n\"Answer: -2*n**2 - 8342*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 2*k + 2, 55*p - 50*p - 4*k + 22 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -746 + 1052. Let a = -306.32 + c. Round a to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -16 + 15 + (49*1 - 0). Suppose 0 = 29*z - 32*z + d. Calculate the remainder when 37 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*i + 46 + 25, 0 = 2*i + 3*m - 35. Suppose 4*b = i*b - 702. Is b a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**2 + 12 + 0*c**2 - c**2.\nAnswer: 4*c**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -16, k - 2*k + 16 = -3*j. Suppose 0*z = g - 5*z - 11, -k*z + 20 = 4*g. Let t(o) = -o**3 + 6*o**2 + o - 2. Let i be t(g). Is i smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -341\/156272?\nAnswer: -341\/156272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1200.11, 2\/3, -1\/4, 1\/2 in ascending order.\nAnswer: -1\/4, 1\/2, 2\/3, 1200.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(385)*2 - sqrt(385))\/sqrt(7) + sqrt(55))\/(sqrt(45)\/sqrt(144)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -473757, -473780, -473819, -473874?\n\"Answer: -8*j**2 + j - 473750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 2)*(5 - 3 + 0) + 0 - 5 + 4)*(-61*s + 52*s - 523*s).\nAnswer: -1596*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 - -425. Suppose -11*m = d - 7*m - j, -5*d = 3*m - 2645. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 10*i. Let r be h(10). Suppose r = 4*w - 7*w + 90. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31078 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 310730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280668 and 4132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -13. Suppose -2*i + 31 + 34 = a, 5*a + k*i - 295 = 0. Suppose -19*f + 14*f + a = 0. Calculate the remainder when 76 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 + -4)\/((-3)\/(-102)). Suppose u = 5*p - 3*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -45*t**3 + 2*t**2 - t. Calculate x(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277018 = 23*m - 889439. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1012, -1994, -2986, -3994, -5024, -6082?\nAnswer: -7174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 1. Let i(g) be the second derivative of g**3\/2 - 5*g**2 - 2*g. Let d(v) = -i(v) - 2*z(v). Let b be d(5). Solve -u + 1 = b for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003103 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -457769.275 - -457680.2749953. Let a = 89.157 - 0.157. Let l = j + a. What is l rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 6*r + 7. Let g be w(7). Let q be (-14)\/5 + (g - -3). Which is the second smallest value? (a) -0.5 (b) -0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 272, 5, -1 in descending order.\nAnswer: 272, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446872857.\nAnswer: 3, 148957619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 253229*p**2 + 253229*p**2 - 4*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 52*w**2 - 9 + (w + 0*w - 3*w)*(2*w + 0*w - 3*w) - 3*w**2 + 4*w**2 + 0*w**2 + w**2 + w**2 + w**2)*(0 + 4*w**2 + 0).\nAnswer: -184*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -19*z + 2*z - q, -5*z - q + 3*q = -3*q + 325 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by 23.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 11*x - 4 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/130)\/(38\/(-95)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21624 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 69699?\nAnswer: -69696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 0)*5\/20. Let x = 1 + j. Let q be x + 2\/(-6) - 1. Put -5\/4, q, 5 in descending order.\nAnswer: 5, q, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 75 in increasing order.\nAnswer: -3, 2, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7458.3 months in years?\nAnswer: 621.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.4 (c) -1.2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -2*l - 5*n, 0 = -5*l - n - 53 - 12 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -87*l - 2. Let p(x) = -x. Determine p(j(w)).\nAnswer: 87*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1102, 1331, 1550, 1759?\n\"Answer: -5*z**2 + 244*z + 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 27*k - 40. Let m be o(9). Suppose 5*x = r - 87, 3*r - 4*x = -r + m. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k + 2*k + 0*k)*(1 - 1 + k**2) + 2*k**3 + 2*k**2 - 2*k**2)*((-3 + 3 + 1)*(3 - 1 - 3) + 0 + 1 + 5).\nAnswer: 30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3 - 3)*(20 - 3*v**3 - v**3 - 16 - v).\nAnswer: 8*v**4 + 2*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8)\/(4\/(-16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -270425480 divided by -10298.\nAnswer: 26260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1350196.\nAnswer: 2, 227, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -16. Suppose -i + 4*x = -12, 0*i + m = -2*i - 3*x. Sort 0, i, -2 in decreasing order.\nAnswer: 0, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*q - 1064 + 2110 + 1162. What is the remainder when 276 is divided by q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, 63, 36?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52 - (2 + -1 + 0). Let d = -4461 + 4464. Calculate the greatest common factor of l and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 45*w**2 + 148*w - 507. Give q(42).\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15423 - 15318 = -5*i - 5*s, 2*i + 45 = s for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 886511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/19 - 369830\/(-100130) - 3. Determine y, given that j*y**5 + 12\/17*y**4 + 8\/17 + 6\/17*y - 20\/17*y**2 - 16\/17*y**3 = 0.\nAnswer: -1, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2239\/819 - 98\/117. Which is the biggest value? (a) 5 (b) 1\/12 (c) -4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26528836903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15574*r + 16029.\nAnswer: -15574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 34 = 4*c - h, h = -5*c - 38. Let q be 2*-3*c\/16. Solve 0*s + 3*r + 21 = -q*s, 0 = s - 2*r - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 175?\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l**3 + 4*l**2 + 5*l + 4. Let r(n) be the second derivative of 2\/3*n**3 + 1\/4*n**5 + 3\/2*n**2 + 1\/4*n**4 - 2*n + 0. Calculate -3*d(j) + 4*r(j).\nAnswer: 2*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46779*v - 23939*v - 24092*v to the form c + d*v and give d.\nAnswer: -1252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 125*j + 5. Is t(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-780))\/((-8)\/20).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/51 and -97\/204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3415 divided by -5?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 13. Suppose -3*h - d = -2*l - 2, 35 = 2*l + 5*h. Round l to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -133201032 (base 5) in base 2?\nAnswer: -10100101100101111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.22 (b) 87 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -18*x + 56. What is the highest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.02 + 1.18. Let t = p - 19.2. What is the closest to -4 in -1, t, 1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, u: 3, o: 8}. Give prob of sequence eeou.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.043 * 0.07.\nAnswer: 0.00301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 87798 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -170\/3 and -56 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y + 5*j = -165, 79261809*y - 79261806*y + 12 = 2*j for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-20) - (1 + 0). What is the third biggest value in -7, 1, d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/2 - -3)*21\/(-126)*12. What is the closest to g in -2, 229, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g = -32*g - 24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*g - 4*n, -4*n + 108 = 4*g - 2*n. Suppose s + s + 3*b = 18, 0 = 3*s + 5*b - g. What is the closest to 1\/4 in 0.2, -4, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 87.40145 to 2 dps.\nAnswer: 87.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e5 - -235?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*t + 52*t + 3 - 3.\nAnswer: 80*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2344 - 786 = -64. What is the highest common divisor of 4161 and w?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1287864)\/(-486) - (-10)\/135. Calculate the greatest common divisor of 50 and l.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 966, 1261, 784, -465?\nAnswer: -2486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 108351 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + 0 - (12 - (-22 - -18)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 10:08 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*h, 3*a - 5*h + 20 + 5 = 0. Suppose 0*z = z, -5*s + 5*z + 4150000 = a. What is s rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002312101 (base 4) in base 10?\nAnswer: 273809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*p**3 - 105*p**3 - 107*p**3 + (-2*p - p + 2*p)*(-4*p**2 + 3*p**2 + 5*p**2) + 2*p**2 - 2*p**2 - 2*p**3 as w*p + d + s*p**2 + a*p**3 and give a.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, j: 1, p: 11}. What is prob of picking 1 j and 1 m?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**7)\/(t**(-2\/23)\/t))\/((t**5*t)\/(t**(4\/11)*t)) assuming t is positive.\nAnswer: t**(1126\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from aaasarasasar?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*j + 30 = 38*j. Let a(z) = -9*z**2 - 4*z + 3. Let x(d) = d**2 + d - 1. Give j*x(l) + a(l).\nAnswer: -4*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 131 = -3*q, q + 19 + 43 = 5*u. Let f = q - -45. What is the remainder when 13 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 2 - 19 - 39*k**4)*((0 + 0 - 1)*(0 + 0 + 2) + 2 - 2 - 1 - 4 - 1 + 6).\nAnswer: 78*k**4 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sysyyysssyys. What is prob of picking 1 s and 1 y?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 m when three letters picked without replacement from bzbmemmm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a minute in seconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1016, -3769, -8370, -14831, -23164, -33381, -45494, -59515?\n\"Answer: -2*z**3 - 912*z**2 - 3*z - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 263 (b) 2\/23 (c) -0.2 (d) -5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-48)\/(-6))*1\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1.302, -3, -7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/4)\/((-5)\/2170*1).\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 423959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*v*x**3 + 506*v*x**2 + v - 2*x**3 - 2*x**2 wrt x?\nAnswer: 588*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -20, 2\/13, -3\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zssszzszzzzs. Give prob of sequence szs.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 4:30 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -5, -12, 0, -4, -3.\nAnswer: -12, -5, -4, -3, 0, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -116 - -249. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 + 21*u + 3. Give o(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 207*j**2. Let g(q) = 83636*q. Calculate g(n(i)).\nAnswer: 17312652*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0)\/(t*t**(6\/11)*t*t))\/((t*t\/t**(-1\/7))\/t*t**(5\/4)) assuming t is positive.\nAnswer: t**(-1521\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-2)\/(-14)*2\/(4\/(-7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -760 + 828. What is the highest common divisor of f and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 11*j + 21. Calculate k(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2197*w - 2895*w + 2983*w + 4277*w = 643076 for w.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Suppose 0 = 4*r - 2*r. Suppose -10*d - 90 = -120. Solve r*g = d*g - o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -283 - -282. Let w be 4\/7*(-1)\/4. Which is the second biggest value? (a) -0.1 (b) z (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 3. Let z be q(6). Let x = 5 - z. Find the second derivative of 7*h - 2*h - x*h**4 + 0*h**4 wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1195400 and 30?\nAnswer: 3586200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -83.07. Let i = -1.94 - n. Let a = i + -0.13. What is the third smallest value in 0.4, a, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 0*i**6 + 0*i**5 + 0 + 0*i**2 - 1\/6*i**4 + 3\/8*i**8 + 45*i + 0*i**7 + i**3. Find the third derivative of y(b) wrt b.\nAnswer: 2520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -6577*f + 6543*f + 78. Factor 4\/3*d**3 + 2\/9*d**f - 2 + 16\/9*d**2 - 4\/3*d.\nAnswer: 2*(d - 1)*(d + 1)*(d + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.109 * -1296960\nAnswer: 141368.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 104203?\nAnswer: -104202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -314 + v + 314. Let w(n) = 17*n. Give y(w(x)).\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**3 - 4*n + 5. Let b be (0 + -6)*(-1 - (-5)\/10). Let h be p(b). Let s = h + 540. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11*574\/77572*4\/7?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*c - 83, 0 = -4*a - 0*c - c - 139. Let t be ((-216)\/120)\/(1\/(-20)). Let p = t + a. Solve 2*y + p*u = 5*y + 8, u - 4 = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cwccccwkcwuu. Give prob of sequence cwck.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -438*f - 434*f + 873*f. Let r = -13 - -14. Let d(m) = -r - 11*m**2 + 12*m**2 + 4. Calculate x(d(c)).\nAnswer: c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.30980296 less than -3.5864?\nAnswer: -5.89620296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17879862 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-3 - -5) - (-2 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t + 29*t = 27. Solve 2*r + x + 0*x = -5, -3*r - t = 3*x for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11201002 (base 3) to base 14.\nAnswer: -1371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-10)*1\/2*84\/(-294)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33bc5 (base 13) in base 3?\nAnswer: 11210100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 809 + 591 - 26 + 11*g + 14.\nAnswer: 11*g + 1293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 3 (b) -4 (c) 160 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 - 68) + -16 + 4 + -1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-6 + (22 - 15)). Solve w = 46*p - 33*p - 52 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -1. Let k = 4.7 + -9.7. Which is the second biggest value? (a) r (b) -2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 12 = -4*v, 105113 = 5*v - t + 105112 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u - 4*u + 4*u)*(0 - 2 + 3) + 2 - 2*u - 2 - 10*u + 15*u - 15*u - 2*u + 2*u + u)*(-u**2 + u**2 - 3*u**2).\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 0.3, 2, 6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - w + 51 = 2*w, -5*m - 117 = 3*w. Let i = 53 + m. Does 8 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -88949 - -62?\nAnswer: -88897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*w**3 - 16*w**3 - 21*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1905b + 5?\nAnswer: 19064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 2*z**2 - 4*z - 3. What is l(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14 (b) -140 (c) -4 (d) 36 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 72 = 18*t. Solve 80 + 5*j**t + 18*j + 15*j + 3*j - 35*j**2 + 8*j - 4*j = 0 for j.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 61? (a) 0.1 (b) -1\/3 (c) -6 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 10, -5*o + 3*r + 30 = 7*r. Suppose -o*l - 3*l = -35. Is (1 + 4)*(0 + l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13168, -20431, -27694, -34957?\nAnswer: -42220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -48877 take away -292534136?\nAnswer: 292485259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 16 = -n + 13, -2*r + 2*n + 22 = 0. Is r greater than or equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3359284 (base 10) to base 5.\nAnswer: -1324444114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k. Let o(f) = -211*f**2. Calculate v(o(u)).\nAnswer: -844*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-20) - 2\/8. Let w = 0.1 - -0.1. Let k = -0.3 + w. Which is the closest to k? (a) -5 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 8:24 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, f: 2, r: 9}. Give prob of picking 2 f and 2 r.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + v = 2*v - 4, -v = -2*m. Let a(n) = m - 4 + 4 + 3*n**2 - 4*n + 2 - n**3. Suppose -h + 1 = -2. Determine a(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 390993.2um to kilometers.\nAnswer: 0.0003909932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.95 + -1. Let t = -1.05 - c. Sort -0.1, t, -4 in descending order.\nAnswer: -0.1, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 4, j: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-40) + -2 + 1006\/10. Let n(k) = -1 + 201*k - a*k - 101*k. Determine n(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-2))\/(-2)*(-13)\/(364\/(-7))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -9. Let p = j - -2. Let o = p + 14. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -29*s - 375. Let h be j(-13). Suppose -3*x = -0*x + 5*f - 57, 2*x = f + 25. What is the third derivative of 25*d**h - 2*d**5 - x*d**2 - 7*d**5 wrt d?\nAnswer: -540*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-3 - -5 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in 1\/3, 4, 2\/7, -20355, 2\/21?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 202942964*s**2 + 11775714*s wrt s?\nAnswer: 405885928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3632 divided by -1.\nAnswer: -3632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 - -157. Sort l, -1, 2\/7 in ascending order.\nAnswer: -1, l, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -128 (b) -2\/15 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*m + 973 = -m, 0 = 3*u + 3*m - 2919. List the prime factors of u.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-8) + (-2)\/8. Let g be z\/5 + (-1 - -2). Which is the closest to -2? (a) g (b) 0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -0.1, -89?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4721506603 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4603384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 57120.89 decades?\nAnswer: 5712.089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10674080.030769 + -10673507.03. Let v = -573 + m. What is v rounded to 5 decimal places?\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -57 (b) -4 (c) 8 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 33, 82, 163, 282, 445, 658, 927?\n\"Answer: n**3 + 7*n**2 - 5*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) + (-85)\/(-20). Let m(i) = i**3 - 5*i**2 + 4*i + 5. Let a be m(b). Solve -a*r + s = 6*s - 5, -2*r = -4*s - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 8551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.78 - -5.92. What is f rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 21*g**2 + 0 - 1\/6*g**4 + 1\/60*g**5 + 1\/2*g**3 + 0*g. Determine x(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = t - 9035*m + 9038*m, -5*m + 795 = -169*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1851*x**3 - 8. Let h(v) = -42574*v**3 - 182. Calculate 4*h(k) - 91*z(k).\nAnswer: -1855*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*q + 6. Suppose -h + 190 - 28 = 0. Let u = h - 5. Calculate the remainder when u is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2496 and 29757.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35449 - 35447. Factor -2\/7*f**5 + 0 + 2\/7*f**b - 2\/7*f**4 + 2\/7*f**3 + 0*f.\nAnswer: -2*f**2*(f - 1)*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -6, -55, 4, 0, -1 in decreasing order.\nAnswer: 15, 4, 0, -1, -6, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55540?\nAnswer: 2, 5, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20060014 - -5.07.\nAnswer: -20060008.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7246067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h + 16. Let m be b(-4). Does 15 divide m*(-2 + (-469)\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdzgzsjzzd. What is prob of sequence jjdg?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 246 - 245 - 2001*o - 1002*o to the form c + f*o and give f.\nAnswer: -3003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-6 + (-35274)\/(-17634) - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -52 + 9 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*n + 2 = -54*n - z, 16 = 2*n + z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157.66000022502 + 157.66. What is o rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 70 in descending order.\nAnswer: 70, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + c + 11. Let h be v(-7). Which is greater: -46 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 22*h**2 + 21*h + 1. Let s(q) = q**2 + 6*q - 6. Let j be s(-9). Let b be c(j). Suppose 7 - b = 2*i + x, i + x = 2. Solve -5 = -z - i for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -3.9 (b) 32 (c) 1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, -3 in descending order.\nAnswer: 8, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9883 + -9881. Solve 1\/5*s**h + 0 - 1\/10*s - 1\/10*s**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 794973 or 794959?\nAnswer: 794959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7541 (base 8) in base 10?\nAnswer: 3937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2352070*h**3 + 4704145*h**2 - 2352080*h + 5.\nAnswer: -5*(h - 1)**2*(470414*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000110313764 rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44153 (base 6) to base 3.\nAnswer: 22101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1424204321 (base 5) to base 11\nAnswer: -2125911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) - (-11)\/(-3). Let k be (s + 0)\/((-3)\/(-262)). Let r = k - -539\/2. What is the common denominator of 79\/4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.079 + 0.093. Let g = p + -0.12. What is g rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaq when three letters picked without replacement from {a: 1, g: 5, q: 3, s: 7, m: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 12*g**2 + 2*g + 26. Let d be l(-14). Find the common denominator of -6*(44\/(-60) + -1) and 0 - 4 - (-135)\/d.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - -2 - (-1)\/1. Suppose p = -5*t + 14 + 1. Which is greater: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7848*w = -7916*w - 544 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -872*l - 12673 = 10871 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 16*v**5\/5 + 13*v**4 + 44*v**3\/3 + 4*v**2 + 1. Factor p(m).\nAnswer: 4*m*(m + 1)*(m + 2)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 834281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 2*u - 2*u**2 - 22*u**3 + 25*u**3 to m*u + p*u**3 + i*u**2 + v and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18754520899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000055103 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28017069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7677516 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1513 by 4.\nAnswer: 1513\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 682*a\/5 + 135924\/5.\nAnswer: -2*(a - 141)*(a + 482)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztqmzqlmzzlqzq. What is prob of picking 1 l and 1 m?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3 - 5760*z**2 + 57267*z + 63030 = 0. What is z?\nAnswer: -1, 11, 1910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -102221 or -102219?\nAnswer: -102221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -2)\/((1 + -16)\/(-30)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/6355 and -10\/103547099?\nAnswer: 517735495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 6 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -267*b**2 + b - 2262.\nAnswer: -534*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r + 3*z, -z = r + 2*r - 19. Calculate the lowest common multiple of r and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -241.13125185 - -176.047803432. Let l = 11.08344853 + j. Let f = 54 + l. Round f to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 + 2796*b**2 - 2*b**3 - 28*b**4 + 1 - 2797*b**2 - b in the form k*b**2 + u*b + c*b**3 + s*b**4 + p and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -176 + 0*r + 0*r + 19*r**2 - 34*r**2 + 16*r**2 as c*r**2 + p + u*r and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112221 - -10?\nAnswer: 2120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*r + 8 = 4*c + 95*r, -37 = 7*c + 5*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 o when three letters picked without replacement from ofboffoo?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -34009383?\nAnswer: -2\/11336461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2400 - 783. Let v = 2483 + u. Is 15\/(-45) - v\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + j + 14 = 2*h, 3*j - 19 = -2*h. Suppose h*w - 8 = -w + 5*y, w - 3*y = 4. Let s(f) be the third derivative of f**4\/4 - f**3\/6 + f**2. What is s(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {v: 2, q: 1, m: 2, j: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 9. Let r be g(-13). What is the highest common factor of 22 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 17. Let x be (l - -1) + 58534\/20. Let f = -2932 + x. Calculate the common denominator of f and -85\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4163919, -4163901, -4163883, -4163865?\n\"Answer: 18*o - 4163937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, d: 4, f: 9, y: 2}. Give prob of sequence dydy.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13, -56, -127, -226, -353?\n\"Answer: -14*h**2 - h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -839 + 838.9. Let h(x) = -x**2 + 5*x + 6. Let z be h(6). Suppose -k - 5 + 1 = z. What is the closest to 1 in 0.01, k, i?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from mrrkmkrjhkkyyhhm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(288)*3.\nAnswer: 3 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*u = 44, 3*o - 3*u = -5*u + 55. Suppose 4*d - 5*d + 10 = 0. Calculate the remainder when o is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -49, 2.\nAnswer: -49, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l + 23 = 7*l + 3*k, 4 = 4*k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11*d + 16. Let q be j(-1). Suppose -5*h = -q*f + 1160, 0 = 3*f + 2*h - 285 - 406. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0062 - 9.1538. Round w to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 21 = -5*x, 2*x = 4*u + x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*r**5 + 1259271*r**3 - 118572453*r wrt r.\nAnswer: -100*r**3 + 7555626*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*a - 7 = 0, 0*v + v + 10*a = -11 - 83 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 2)*(-78*j - 72*j + 151*j + 516) in the form c*j + f and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*p\/(p*p\/(p\/p**(1\/5))))\/(p\/(p**3\/p)*p*p**6\/p)*(p*p\/(p**4\/p)*p)\/p**3*p**(-5)\/(p\/p**(-1\/11)) assuming p is positive.\nAnswer: p**(-1006\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 - 3*b - 7*b**2 - 2 + 17*b**2 + 4*b. Let h be y(2). Suppose -h*w + 86*w**4 + 9 - 130*w**3 - 47*w**3 + 158*w**2 - 1 - 15*w**5 = 0. What is w?\nAnswer: 1\/3, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(-2*sqrt(77) - sqrt(77))*3*-2)\/(4*-1*sqrt(343) - sqrt(343) - 4*(sqrt(343)*-2 + sqrt(343))))**2.\nAnswer: 14256\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*u = 109*u - 196. Factor -4*r**3 - u*r**2 + 9 - 4 - 5 - 44*r**2.\nAnswer: -4*r**2*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60921 - 8962. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1 = 5. Suppose m*v - 32 = -v. Let d be (4\/(-8))\/(-1)*v. Put d, -4, -5 in decreasing order.\nAnswer: d, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1181074 + 1700746703\/1440. Find the common denominator of -103\/2520 and r.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**5 + 60*f**4 + 175*f**3 + 120*f**2 = 0. Calculate f.\nAnswer: -8, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.1, -2\/13, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2445*r**5 - 20 + 13*r + 3*r**2 - 3*r**2 + 63*r + 23 wrt r.\nAnswer: -48900*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5473881798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 58 = 5*v. Suppose n - 2*n = -v. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168418 by 1674.\nAnswer: 84209\/837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/8)\/(3300\/800))\/((-2)\/132)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2020, 4, -5 in decreasing order.\nAnswer: 4, -0.3, -5, -2020","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*o - 49 - 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l - 8*l - 188 = -386 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1348*z - 248 = 1317*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -863502.99\nAnswer: 345401.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**2 - 19*p + 33. Let a be x(-6). Suppose -a*c = -2*k - 24, 15*c - 14*c + 4*k = -6. Calculate the lowest common multiple of c and 270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 64, 65, 66, 67?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50610\/16 - (-1)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -22. What is h rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3550262189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10*w + 75. Calculate the lowest common multiple of l(7) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f**(9\/7)\/f*f**10*f**(-3\/10))**(-1\/32) assuming f is positive.\nAnswer: f**(-839\/2240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-10)\/(-8))*45\/18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/28)\/(15\/20)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50620 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (243\/((-26730)\/(-308)))\/((3\/5)\/3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 880\/(-46) - (64 + (-12 - 71)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*v - 31, -v = 2*g + 3*v + 6. Suppose 0 = -2*s + c - 1, g*c - 14 = 11. What is the third derivative of -2*x**s + 3*x**4 + x**4 - 2*x**4 wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334834361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 48196.58um?\nAnswer: 4.819658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -965, -1937, -2923, -3923, -4937?\nAnswer: -5965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26721973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 45. Suppose -2 = w + 1, v - 69 = 4*w. Calculate the remainder when v is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -1 - (-14)\/(-42). Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((7 - 110\/15) + 52574)\/((-7)\/(-273)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/85)\/((23034\/220)\/349)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32417859, -32417857, -32417855?\nAnswer: -32417853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 10:10 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-6)\/(-2) - -17. Let c = i - 12. Suppose 4*f - 3*r - 506 = -r, -c*f + 630 = -5*r. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1644, -3290, -4936, -6582, -8228?\n\"Answer: -1646*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 43*o**8\/56 - o**4\/3 - o**3\/2 - 3*o + 7. What is the third derivative of m(b) wrt b?\nAnswer: 5160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -643 + 1627*k - 3251*k + 1621*k in the form m*k + v and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280810509 and 203.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 0*j**2 + 7*j**2 + (2 + 2*j - 2)*(-7 + 7 - 2*j) + j**2 - j**2 + 2*j**2 + (2*j**2 - 3*j + 3*j)*(3 - 5 + 4).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47409023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 19 - (-13 - -1)) + -9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/2 + 18979*u**2\/2 + 3510573*u = 0. Calculate u.\nAnswer: -363, 0, 19342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124.06 + -124. Let t = 0.26 - q. What is the closest to 2\/7 in -1, t, -2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 23*a**6\/24 + 629*a**4\/24 - a**2. What is the second derivative of b(j) wrt j?\nAnswer: 690*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (8 - (-3 - -11)) - 4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -1) + (29 - 30)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3723746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eejjeuejej. What is prob of sequence eee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 - 3*n**3 + 3*n**3)*(151 - 25*n**2 - 151) + n**5 - 4*n**5 + 0*n**5.\nAnswer: 122*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/36 and -97\/2552?\nAnswer: 22968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s - 190. Let u = s - 23. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1432, -6039, -13710, -24445, -38244, -55107, -75034?\nAnswer: -98025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1967, -3517, -5057, -6587, -8107, -9617?\nAnswer: -11117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -37\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.1, -1559, 2\/23, -20.\nAnswer: -1559, -20, 2\/23, 0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 5*z**2 + z - 4. Give i(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (879998 + 1 + 1). What is z rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, -1326\/2009, -3?\nAnswer: -1326\/2009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9749359 by -1.\nAnswer: 9749359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(3500) + sqrt(3500) - sqrt(35)) + sqrt(35))\/((1*sqrt(28))\/sqrt(4)) + 1 - (-5*sqrt(15)\/sqrt(3)*4*5 + 0))**2.\nAnswer: 260*sqrt(5) + 84501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384.5*-13947.\nAnswer: -5362621.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478423 is divided by 1945.\nAnswer: 1898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 112 = -57. Let v = z - -326. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 6 + 14. Suppose -4*g + 11 = -g - 4*m, -32 = 4*g + d*m. Let a(k) = -k**3 + k**2 + k - 3. Let h be a(0). Does h = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1487797?\nAnswer: 1487797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1863954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*y**6 - 34758*y**4 + 3*y**3 - 13*y**2 + 1047*y - 27 wrt y?\nAnswer: -480*y**3 - 834192*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -30*d**3 + 2. Is p(-2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -4457*z**5\/60 + 457*z**4\/12 + z**3\/2 - 6423*z**2. What is the second derivative of d(y) wrt y?\nAnswer: -8914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -5. Let c(i) = -i**2. Let b be c(-2). Put j, b, 0 in ascending order.\nAnswer: b, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*l - 92*l - 363*l - 140*l.\nAnswer: -516*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 - 10 - (-10 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11713 by -13.\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -521 (c) -4 (d) -1 (e) -2 (f) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1083213 and 5160.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 407 + -385.5. Let s = 21.64 - n. Which is the smallest value? (a) s (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 222*t + 30. Calculate f(-15).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {r: 1, k: 1, m: 1, q: 1, b: 2, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-16) - (-2787)\/48*-4. Let f = -228 - j. Solve 2*i + f - 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08, 8\/9, 1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 5*y**2 + 84*y + 3. Calculate the lowest common multiple of c(12) and 1449.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 10. Let x be n(8). Let p be 1\/10 + 1\/x. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 6*p**4 - 12. Let k(v) = -5*v**4 + 12. Let o = 46 + -75. Let w = 23 + o. Let l(y) = w*b(y) - 7*k(y). What is the first derivative of l(a) wrt a?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*i - 3. Suppose 5*o = 20, 3*o + 12 = 4*z - i*z. Let w(a) = 12 - z + a**2. Let t(b) = -3*b**2. Calculate t(w(k)).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/174976 and 37\/306208.\nAnswer: 1224832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*t**3 + 22*t**3 - 2*t + 98*t**3.\nAnswer: 151*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 2*v + 1. Let w be (-2)\/((-2)\/6*2). Suppose 7*d + 4*h + 18 = 2*d, -10 = w*d + 2*h. Give i(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*10*2\/(-6). Let y(o) be the third derivative of -o**5\/60 + 5*o**4\/12 + o**3 - 2*o**2. What is the units digit of y(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 + 25*i**2 - 4*i**3 - i + 3*i**3 - 136*i**2 in the form g*i**3 + u + h*i**2 + r*i and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 78*k - 53. Let c be w(7). Let h = 885 - c. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f - 12, -f = -4*c + 69. What is the greatest common divisor of 63 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8179041 litres to millilitres.\nAnswer: 817.9041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*o + 4*z + 30, 2*o = z + 5. Suppose 3*i - 225 = -3*j, o = 4*j - 5*j. Let b = 25 + -5. What is the remainder when i is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/49 + 19\/49. Sort -6, -1\/10, -2, 4, j in descending order.\nAnswer: 4, j, -1\/10, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 26725.05s?\nAnswer: 26725050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -20*a**4 + 4\/5*a**5 - 104*a**2 + 68*a + 72*a**3 - 38. Determine f so that m(f) = 0.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -897 + 851 = -3*g + 11*q, g - q = 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-832)\/(-12)*(-2)\/(-4)*21. Let n be 11 - (-19)\/((-57)\/(-9)). What is the highest common divisor of t and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414 and 26792746?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488, -1240, -2248, -3512, -5032, -6808, -8840?\nAnswer: -11128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(44\/8))\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 h when three letters picked without replacement from xhhxhxxhxx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 329*f + 91*f - 425*f. Let d(y) = -571*y. Determine m(d(c)).\nAnswer: 2855*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 11:37 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0*p**5 - 1\/8*p**8 + 0 + 0*p**2 - 1\/2*p**4 + 0*p**3 + 0*p**6 + 0*p**7 - 4*p. What is the third derivative of k(d) wrt d?\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2250?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4050 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -23. Let f(o) = o + 1. Let t(m) = 6*m - 2. Let r(q) = -4*f(q) + t(q). List the prime factors of r(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 23. Let i = 0.5 - 0.8. What is the closest to 0.2 in i, -2, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + 73*o**2 - 34*o**2 - 35*o**2. Let z(k) = 9*k**3 - 17*k**2. Suppose 2*p = -i - 3*i + 4, 4*p - 5*i - 34 = 0. Determine p*z(m) + 26*a(m).\nAnswer: 2*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2*(4 - -14). Let k = -7 + q. Let z(x) = k + 0*x - x + 2*x. Determine z(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5377\/3586 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1435 - 623. What is the greatest common divisor of 28 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(-1 + 5 - 5)*(0*a**4 + a**4 - 7*a**4).\nAnswer: 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/140)\/((-48)\/28) + (-235)\/(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6829.463um?\nAnswer: 0.6829463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, 8, -52.1224, -1?\nAnswer: -52.1224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*k - 2*k + 10 = 0, 0 = -3*r - k + 11. Suppose r = -2*d - 3. Put 4, -1, d in ascending order.\nAnswer: d, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 0*b**2 + 1 + 1\/5*b**5 + 1\/3*b**3 + 0*b**4 + 0*b. Find the third derivative of f(q) wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-1)\/2)\/(5\/(-40)). Suppose 5*q - 2*p = 0, 2*q + 0*q = 2*p. Suppose q = 3*s - 10 + 1. Which is the third biggest value? (a) g (b) s (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 16*f - 2*f**2 - 16*f + 3*f**2 + 2. Suppose 5*b + 1 = -4*x + 17, 3*b - 2*x = -8. Let d be b - 3 - (4 + -4). Determine q(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2721\/(-27) + 6\/(-27). Let i = t + 222. Suppose 4*j - d - i = 0, -4*j + 0*d + 2*d = -126. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71648, 71626, 71568, 71456, 71272?\nAnswer: 70998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2.4. Which is the third smallest value? (a) 2 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -96 + 180. Let l = a + -53. Let o = l - 29. What is the biggest value in o, -2\/5, -8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 404123233?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-36)\/(-3) - (50\/(-1290))\/(2\/(-150))?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85394 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*u + u - 177480 = 0. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 311*m + 309*m - 13 = 0, 2*m = 5*x - 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (125 - 139 - 55)*(2*u**3 - u + u) + (-1 + 1 - 2*u)*(2*u**2 - 4*u**2 + 3*u**2) to the form g*u**2 + o*u + x + t*u**3 and give t.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69186 is divided by 34579.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1997.734 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35127, -139608, -313445, -556638, -869187, -1251092?\n\"Answer: -34678*z**2 - 447*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31*(-1026)\/(-10044)*12\/2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 + d2?\nAnswer: ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55226182?\nAnswer: 2, 11, 701, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 1905. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (79\/72 - (-14)\/(-63)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-180)\/(-108))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -429161, 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68270 is divided by 270?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and -500?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8)*i*i)\/(i**13*i)*i\/((i*i**(1\/15)\/i)\/i)*i**6 assuming i is positive.\nAnswer: i**(-181\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -40 (b) 0 (c) -8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27044, -1, 4.\nAnswer: -27044, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -4 (c) -2\/135 (d) -1\/2 (e) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o - o. Let w = 5 + o. Solve 3*p - 4*p = w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 653013, 653012, 653001, 652974, 652925, 652848, 652737?\n\"Answer: -p**3 + p**2 + 3*p + 653010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**3\/7 + 3054712*p**2\/7 - 583268231344*p\/7 + 3498839642976 = 0. What is p?\nAnswer: 42, 381818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 10, 18, 28, 40?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 2309880?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 90, 185, 278, 369, 458, 545?\n\"Answer: -q**2 + 98*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 6*4\/6. Let h = 6 + -2. Let v = h - 4. Put m, -3, v in decreasing order.\nAnswer: v, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 5*w + 4.\nAnswer: (w - 4)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*q = 201 - 166, -4*w + 30 = -2*q. What is the second smallest value in 0.02, w, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 1282046 - 1484227. Let a = d - 1304282. Let y be 6\/(-14) + a\/21. Round y to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2)\/(14895\/(-14895)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-7) + (-33)\/77. What is the nearest to 11 in -4, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 6*f**2 - 10*f - 58. Let z be t(-6). Suppose 0 = z*b - 0*i + i + 244198, -2*b = 2*i + 244196. What is b rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 64396 = 4*h, 8*h + 32186 = 2*k + 4*h. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438995 is divided by 19914?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/10 and -61\/5589068.\nAnswer: 27945340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.20502 * -265.\nAnswer: -54.3303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/16*(19\/(-38))\/((-15)\/(-40)).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2305749*r**2. Let h(k) = k. Give b(h(v)).\nAnswer: -2305749*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 a factor of 691582055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from {p: 2, y: 2, i: 2, x: 3, c: 8}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in 0.5, 2\/13, 2, 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtho when four letters picked without replacement from ihxoohxxthhohuhooxhx?\nAnswer: 35\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(((-15)\/(-24))\/(42\/(-168)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16a0 (base 15) to base 4\nAnswer: 1030023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -123 or -373\/3?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-70)*(-5 + 12 + -4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 l, and 1 f when three letters picked without replacement from fvlviii?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*s - 12, -3*s + 173 = 3*h + 185. Sort s, 5, -12, 1, 10.\nAnswer: -12, s, 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 900 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = y - 91, -3*h + h + 40 = 4*y. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17264 and 25232?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*o - 120 = -124*o. Solve -4*m - 14 = 3*h, 5*m + o = -h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**24))**18 assuming g is positive.\nAnswer: g**(-432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + (-1 + 12\/16)*4. Suppose -3*y - 16 = y. Sort 4, n, y in increasing order.\nAnswer: y, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r - 47. Let k be s(7). What is the third biggest value in 5, k, 1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 974138*y = 974133*y + 300. Suppose -2*i - 234 = -1062. What is the remainder when i is divided by y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - i**2 - 2*i + 7. Let h(d) = -4*d - 1. What is the remainder when z(3) is divided by h(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36315 divided by -2421.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86233 (base 9) to base 7.\nAnswer: -325224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.38 + 772465.\nAnswer: 772488.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-616018)\/(-209) - (-36)\/66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2982 is divided by 595.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 124534001 - -12?\nAnswer: 124534013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1 + 1 + -1 + sqrt(500) + (sqrt(500) + 0 + -1 + sqrt(500) - sqrt(500))*4)*1 + -2) + 4)**2.\nAnswer: -19500*sqrt(5) + 314021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 682 and 8680.\nAnswer: 95480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2806*a*r**4 - 2*a*r**2 + 2*g*r**3 - 591*g*r + r**2 wrt r.\nAnswer: 67344*a*r + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-13)*x**(3\/4))**(2\/45) assuming x is positive.\nAnswer: x**(-49\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/3 - 2\/12*0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/18 - 170\/45. Let o be 10\/(-4) + (-2)\/k. Sort 1\/4, o, 4\/3 in descending order.\nAnswer: 4\/3, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**4)\/m**(-13))**(-48) assuming m is positive.\nAnswer: m**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + z**2 - 10. Let v be l(2). What is the highest common factor of v and 6658?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2509800 rounded to the nearest ten thousand?\nAnswer: -2510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*d + 120, -d - 2*a - 72 = -4*d. Suppose 2*i - d = -4. Calculate the least common multiple of i and (1 - -11) + (-2 + 2)\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950840 is divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 4*w + 6. Let f be h(-4). Let n be ((-156)\/(-18))\/((-2)\/f). Let d be 92\/9 - n\/(-117). Is d >= 60\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 482 + -480. Let p(o) be the third derivative of 0*o**3 + 0*o**5 + 1\/120*o**6 + 0 + 1\/8*o**4 + 9*o**h + 0*o. What is the second derivative of p(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - 0.7. Let k be (-6)\/(-16) - 0\/2. What is the nearest to a in 0.3, 9, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 720 and 5.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -2*r - 6, 3*v + 10 = -81*r + 83*r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -68 + (-98 - (-284 - -29))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 5*n - 5*k + 22, 17 = -n - 4*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33521 + 33618. What is the greatest common divisor of 14647 and g?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 100 + 64 = 8 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -2) + 0 - (4 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -265941*d*g**5 - 3*d*g + 6581*d wrt g.\nAnswer: -5318820*d*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4569 and 1347?\nAnswer: 2051481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1264, -2127, -3000, -3889, -4800, -5739, -6712, -7725?\n\"Answer: -d**3 + d**2 - 859*d - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3057221810.\nAnswer: 2, 5, 2711, 112771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 16*v**3 - 2*v**2 + 2*v - 1. Let g(x) = -2*x**3 - 2*x + 1. Let k be g(2). Let l = -18 - k. What are the prime factors of u(l)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*(l**(-1\/2)*l*l)\/l)*l)\/l))**34*(l**0)**(3\/4) assuming l is positive.\nAnswer: l**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 65 - 6*i + 2*i**2 + 59 - 130 + 5*i**2. Let d be h(3). Solve -9*k + d = -6*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 35 + 8 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80459455 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 4, 0, 5, -55 in descending order.\nAnswer: 5, 4, 0, -37, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 3*r - 9, 2656*r + 8*b = 2660*r - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 18. Let h be x(0). Let f be 125\/15 - 1\/3. Let l = h + f. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71\/36 - -20\/9. Factor 0*k + 0 + 0*k**2 + 1\/4*k**3 - t*k**4 - 1\/2*k**5.\nAnswer: -k**3*(k + 1)*(2*k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 3*b - 9. Suppose -b*x = -5*y - 48, x + y - 24 = -0*y. Factor -12*s**5 - 3*s + 3*s - x*s**4 - 10*s**2 - 6*s**3 + 13*s**2.\nAnswer: -3*s**2*(s + 1)**2*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5928, -8733, -11528, -14307, -17064, -19793, -22488?\nAnswer: -25143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52822 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -89*s**3 + 15*s**2 - 61*s - 49. Is x(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2)*i*i\/i**6)\/(i**(-1\/7)\/(i*i**(1\/9))) assuming i is positive.\nAnswer: i**(-409\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*c**2 - 397*c**2 - 309*c**2 - 734*c**2.\nAnswer: -1277*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 >= 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**6\/200 - 4*m**5\/5 + 2013*m**4\/40 - 7623*m**3\/5 - 11*m**2 - 2*m + 479. Factor c(j).\nAnswer: 3*(j - 33)**2*(j - 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by -919006.\nAnswer: -59\/919006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 880 + -881. Let s be (-10)\/6*4\/30. Which is the third smallest value? (a) -0.1 (b) s (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1432 + 1433. What is the nearest to h in 2, 1\/11, -8, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -838876 (base 9) to base 7.\nAnswer: -4144500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1233 and -248693.\nAnswer: -247460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 7792755.5.\nAnswer: 15585511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -5 - (5 - 1)) + (-9 - -5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, -0.048, -1\/5 in ascending order.\nAnswer: -1\/5, -0.048, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-2173)\/(-742))\/41)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/28)\/(1\/(-7)). Suppose i + 5*q - 7 - 1 = 0, 4*i - 2*q - 32 = 0. Suppose -o*y + i = 4*c, 4*y - 2*y - 10 = -5*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27547524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010101110011111 (base 2) to base 9.\nAnswer: -126185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/24 - (-78)\/(-36))\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - 400b8a?\nAnswer: -400b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -14*i**2 - 153*i + 50. Give l(-11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 + 64*p**2 + 9*p + 47. Let j(u) = 2*u**3 - 64*u**2 - 10*u - 48. Let r(i) = -3*j(i) - 2*t(i). Is r(32) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-4))\/((-2)\/4). Let n(s) be the first derivative of -s**4\/4 - 2*s**3 - 5*s**2\/2 + 3*s + 47. Calculate n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -23*t**5\/60 - 17*t**4\/24 - 2*t**3\/3 + 98*t**2 - 2. Let p(s) = 11*s**2 + 8*s + 2. Determine -6*n(a) - 13*p(a).\nAnswer: -5*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -28. Let w = s + 14. Find the third derivative of -m**6 + 0*m**6 - m**2 + 2*m**w wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -66*r + 858. Determine m(16).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -60026316 + 4?\nAnswer: -60026312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 6*d = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 34. Let o = h + 30. Suppose -2*s - s = -3*j + 57, 3*s = -5*j + 71. Calculate the least common multiple of j and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 877, 910, 973, 1072, 1213, 1402, 1645?\nAnswer: 1948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4037880000 = -151*r - 129*r. Round r to the nearest 100000.\nAnswer: 14400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 10. Let j(h) = -h - 1. Let o(l) be the first derivative of -l**4\/4 - 2*l**3 - 4*l**2 - 5*l + 44. Let r(v) = d*o(v) + 4*j(v). Determine r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, 2, 16 in decreasing order.\nAnswer: 16, 2, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l**2 - 2*l**2 + 4*l**2)*(546*l - 6674*l + 3106*l) to the form f + n*l**3 + m*l**2 + p*l and give n.\nAnswer: 9066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*w = 4*k - 61*w - 5, 3*w = 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -117, -115?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-162)\/252)\/(6\/(-7)). Which is the third smallest value? (a) -3 (b) o (c) 0 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*o + 2 = 0. Suppose -3*c + 1 = -5*j, -2*c + 3*j + 7 = 6*j. Suppose -1 = -g - c*b - 0, 1 = -g - 3*b. Solve -6 = o*d - g*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 103. Suppose t = 6*z + 11. Solve 2*m = 2*q, -5*q + z*m + 1 = 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44100100 rounded to the nearest 100000?\nAnswer: 44100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/6)\/((-88)\/(-66)). Suppose -4*g = -2*d - 22, -3*d - 7*g = -3*g + 23. What is the second biggest value in m, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131220 is divided by 26241?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.052 smaller than 41\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14628 and 53742?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 41*v + 3. Let s be l(-4). Suppose 17*j = -29 - 22. Calculate the common denominator of (j\/14)\/(4\/s) and -29\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**2\/2 + 251. Let u(w) = -w + 3. Let g(t) = 6*t - 16. Let c(a) = -3*g(a) - 16*u(a). Calculate d(c(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -23 + 16 + -12 - 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 20.62 and 8.\nAnswer: 28.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2200)*1 + sqrt(22))\/sqrt(2) + -5 + (sqrt(11) + 0)*5 + 2)**2.\nAnswer: -224*sqrt(11) + 2865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**3 - 7*q**2 + 8*q - 7. Let a(l) = -20*l**3 + 20*l**2 - 23*l + 20. Let m(t) = 6*a(t) + 17*p(t). Give m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1\/(-4) - 102\/(-24) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 0, -5*n + 4 = -2*a - 0. What are the prime factors of 5\/((-5)\/a) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 5. Let y(o) = 5*o - 14. Suppose 4*n + 58 = -3*h, 22 = -0*n - n + 3*h. Let a(g) = -g - 5. Let p be a(n). Calculate p*u(j) - 4*y(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-2\/5))\/(p**6\/p)*(p\/(p\/((p*p*p**2)\/p)))**(-17)*(p**(-2)\/p)**1\/((p\/p**(-3\/7)*p)\/p*p**7) assuming p is positive.\nAnswer: p**(-2339\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 24*p**2 - 6*p**2 + 9*p**2. Let f(a) = -a. Determine l(f(v)).\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.608 and -25568237738.\nAnswer: -25568237738.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 15*o**2 + 3*o - 6. List the prime factors of s(-5).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -3\/8, -176, 32, 0.3, -13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - d = -4*h, 4 = d + h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*x - 312 - 312. Let u = -9 + 14. 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: Suppose -55*k - 156 = -59*k. Sort -3, 5, 4, k in ascending order.\nAnswer: -3, 4, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0063 times -85.214?\nAnswer: -85.7508482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g + 23. Let t be d(-7). Let j(q) = q - 17*q**t + 389 - 7*q - 383. Let p be j(-6). Round p to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i, 0 = -2*j + 6*j + 2*i - 12. Suppose 10 = m + z - 5*z, 2*m = -j*z - 2. What is the derivative of -3 + 24*w - 24*w + w**m wrt w?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + -c?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:39 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - p - 3. Let g be 27 - -4 - (0\/(-2) - 0). Let a = -31 + g. Give b(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2\/5))\/(w*w**(-8\/3)) assuming w is positive.\nAnswer: w**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 616, 2377, 5312, 9421?\nAnswer: 14704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -1509a?\nAnswer: 150a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50185, 200907, 452103, 803773, 1255917?\nAnswer: 1808535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Suppose v + 3 + 357 = -4*q, 4*q - 1752 = 5*v. Calculate the remainder when w is divided by v\/(-165) - 4\/30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 956, -0.3, 4 in descending order.\nAnswer: 956, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 10*j**2 + 6*j + 5. Is 11 a factor of y(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79303648.\nAnswer: 2, 2478239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8 + 7 + 11*s - s**2 + 15. Let i be y(12). Differentiate t**2 + 0*t**2 + i*t**2 - t**2 + 28 wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*g + 70*g = 1543 + 633. Calculate the remainder when 26367 is divided by g.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -w - 3*s, -4*w - 3*s + 13 = -8*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 55. Solve 2*s + 3*f = -5, -d*s + 3 - 13 = 2*f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5335614096.\nAnswer: 2, 3, 111158627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 6:43 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*u + 6 = -93*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*b + 35*b + 287331 = -9*o, 0 = 2*b - 3*o - 114930. What are the prime factors of b?\nAnswer: 3, 107, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137394362*v**3*y*z**3 - 99*v**3*y + 7014*v**2*z**2 + 2*v*y*z**2 wrt z?\nAnswer: -824366172*v**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112984, -112994, -113010, -113032, -113060, -113094?\nAnswer: -113134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37 or 334\/9?\nAnswer: 334\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z\/(z\/z**0))\/z*z)\/z))**16*(z**(1\/7))**(-17\/6))**(-1\/10) assuming z is positive.\nAnswer: z**(-1327\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*l = 378*l + 10952 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 64*d**2 - 56*d**2 + 23 - 1 in the form p*d + u*d**2 + m and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 414790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.06 + -3. What is the third smallest value in 0.2, f, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h + 46 = 2*v, 5*h - 2*v - 35 = 0. Solve -6*x + h = -3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 14. Let k(w) be the third derivative of 0*w**h + w**2 - 1\/20*w**5 + 0 + 0*w**3 + 0*w + 1\/120*w**6. Find the third derivative of k(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382, -378, -364, -334, -282, -202, -88?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, 0.13, 5, 2\/11?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ad + -5?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/3 - 19)\/(-2). Suppose 3*j + 3*v + r = j, 4*v + 16 = 0. Suppose 0*i + j*i - 4*s = -44, -5*i - 75 = -3*s. Let t(n) = n**2 + 12*n - 6. Calculate t(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1902 and -0.55.\nAnswer: -0.7402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 - 25 + 53 - 22 - 2*b)*(-b - 3 + 3) in the form k*b**3 + x*b**2 + m*b + g and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 38 + 1 - (27919 - 27942).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 2*f**7\/3 + 29*f**6\/10 + 93*f**5\/20 + 37*f**4\/12 + f**3\/2 - 4033*f. Solve i(g) = 0.\nAnswer: -1, -3\/28, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8939291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375082053?\nAnswer: 3, 125027351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/9)*a**(5\/3)\/a*a)\/(a**(-3)*a)**(-2\/7))**(-49) assuming a is positive.\nAnswer: a**(-434\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 3\/2 (c) -240 (d) 3\/4 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 21\/2. Let o = 105 + -105.3. What is the nearest to 1 in k, o, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 135.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.931954cm?\nAnswer: 9319540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 749 and 910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 158*f**3 - 131*f**2 + 4*f - 4*f - 62*f**3 wrt f?\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.86 to zero decimal places.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 422 + -162073747.\nAnswer: -162073325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11210, -11206, -11200, -11192, -11182?\n\"Answer: l**2 + l - 11212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38929 or -38922?\nAnswer: -38929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 10:20 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 152 - 600 = -2*g, -5*g + 1123 = 4*l. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.209 - 0.009. Put -4, 1\/4, -0.06, l in increasing order.\nAnswer: -4, -0.06, l, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-235)\/75 - -3). Let t(g) = -42*g**3 + 7*g**2 + 25*g + 50. Let p be t(y). Round p to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o + 204 = -8*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2. Let a(y) = -36*y**2. Let z(v) = a(v) - 2*k(v). Let w(t) = -2*t**2. Determine z(w(r)).\nAnswer: -136*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 17*n**2 - n + 16. Let u be z(-8). What are the prime factors of (u\/(-25))\/(3\/1530)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 3*g - 2*g)*(g**2 - 3*g**2 + g**2) - 197*g**3 - 20*g**2 + 25*g**2 - 34*g**3 - 29*g**3.\nAnswer: -259*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14315, 29178, 44041, 58904, 73767, 88630?\n\"Answer: 14863*n - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.6 + -11.6. Which is the closest to -2\/3? (a) s (b) -0.5 (c) -7\/2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1102 (base 4) to base 12\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-21) + 666\/(-2380). Let c = o - -159\/1870. What is the fourth biggest value in c, -2\/5, -2\/11, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -3.4. Let l = -48.2587 + 0.0587. Let s = l - -48.1. Which is the closest to s? (a) 0.1 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**7\/21 - 2949*b**5\/20 - 2*b**4 - 57*b**2 + 5918*b. What is the third derivative of g(v) wrt v?\nAnswer: 120*v**2 - 17694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -7*r - 260. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243543152 (base 7) to base 4\nAnswer: 322100120303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 4 + (-2)\/(-1). Let n be 1\/(-2 - (-27)\/13). Suppose -4*v = -5*p + 76, u*v - 22 = -2*p + n. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4582*b**3 - 4651*b**3 - 46 + 9238*b**3.\nAnswer: 5*b**3 - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 40 = -27*x. Suppose -5*p = 2*a + 2, 3*p - 3 = -x*a - 7. Solve -4*r + p*r + 20 = 0, 4*r = -l + 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -2)\/(12\/(-64)). Let y = l - 26. Let q be ((-2)\/y)\/(6\/18). Which is bigger: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*24\/(-30))\/((-8)\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 68549*k + 200 = 68545*k, 0 = -c - 3*k - 140 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 * 1632.\nAnswer: -70176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -92439, -92424, -92407, -92388, -92367, -92344, -92319?\n\"Answer: v**2 + 12*v - 92452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 35 = -5. Let g = -4 + n. Suppose g*c = -0*s + s + 6, 0 = -5*s + 4*c + 2. Sort s, -3, -1 in descending order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 421402 + -144551. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -5*m + 3, 5*m + 2 = -k + 7*m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqdvyyhqtvht. Give prob of sequence hh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p - 14. What is the remainder when 27 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7801, 7804, 7807, 7810?\nAnswer: 7813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n + 56*n = 42. Let p(t) be the second derivative of 3*t - 2\/21*t**7 + 0*t**5 + 0 + 0*t**3 + 0*t**4 - 4\/15*t**6 + 0*t**n. Solve p(r) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(12)\/sqrt(2)*2 + sqrt(6))*1)**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(147)*4 + sqrt(147) + 1 + sqrt(147) - sqrt(147) - sqrt(147)) + (sqrt(147) + -3 + sqrt(147) + sqrt(147))*-6))**2.\nAnswer: -14896*sqrt(3) + 116692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 8*a**2 - 15*a + 16. Is 2 a factor of k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001795146 to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/32 + (-3489)\/24. Let q = 44 - a. Calculate the highest common factor of 21 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1888 = 6*j. Let m = -289 - j. Calculate the remainder when m is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2155 and -0.03?\nAnswer: -64.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 + 4*a. Suppose 806*i - 811*i + 20 = 0. Let n(x) = 5*x**2 - 3*x. Calculate i*n(t) + 3*b(t).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/6642296 and 31\/27176?\nAnswer: 524741384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.4 in 0, -52, -362?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5205973 (base 10) to base 16.\nAnswer: -4f6fd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 0 + 0 - 1 + 5*m - 3*m. Let q be (-6)\/8*-2*2. Calculate k(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 215*z**2. Let y(k) = k**2 + 18823. What is y(x(f))?\nAnswer: 46225*f**4 + 18823","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4 (b) 1717 (c) 5 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*f - 6. Suppose f*v = -3*u + 10, -2*v + v + 4*u = 6. Let b be 2 + (0\/3 - 0). Solve 5*d = -11 - 4, s - v = b*d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.7 + 0.5. Let s = -2 + t. What is the nearest to -0.1 in -4, 2\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25413440 and 66625?\nAnswer: 2665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + b**2 + b + 52. Let a be r(0). Suppose -5*n = 5*s - a + 7, -30 = -3*s - 4*n. Let p = 12 - s. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unvnbbnnup. Give prob of sequence ubvu.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5\/3 - 80*x**4\/3 - 3432*x**3 - 151984*x**2\/3 - 141772*x\/3 = 0. What is x?\nAnswer: -23, -1, 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19643542*s**4 - 69260876.\nAnswer: -78574168*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 12*g**2 + 12*g - 13. Let t be x(11). Let f be -6 + -2 + t + 0. What is the hundreds digit of (-145)\/f*-10*(-8)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(sqrt(108) - (sqrt(108)*-1)**2 - sqrt(108)).\nAnswer: 1944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-11 - -18 - (-5 + 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + w + (-2 + 0 + 1)*(0*w + 5*w - 3*w) - 2*w - 2 + 2 + (2 - 1 - 2 + (4 - 3 + 1)*(-2 - 3 + 4))*(-2*w + 3*w + 2*w).\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus 2470678?\nAnswer: -2470685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.066 and 65 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 6*r**2 - 2*r - 7. Let n be 15\/(-2)*(-4)\/6. Give x(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*v*y**2 + v*y - 10*v - 1041*y**2 + 40 wrt v.\nAnswer: 8*y**2 + y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 211357401 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) 0.07 (b) -0.4 (c) 5 (d) 2\/531\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 5:35 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 77*y**2 + 8*y + 8. Let g(r) = -79*r**2 - 6*r - 7. What is 4*g(f) + 3*m(f)?\nAnswer: -85*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*t + 4072 + 15548. Calculate the remainder when t is divided by 113.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2044242 (base 9) to base 8.\nAnswer: -4125222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*w = -1760, x + 2*x = 2*w - 1040. What is x rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1213*j**3 - 677*j**3 - 30*j**3.\nAnswer: -1920*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -0.4, 53, -3\/5, -1, 10\/63?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -69, 1\/2, -0.1, -2, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8344150 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2623419.495 + 2605821. Let p = 17596.6950009 + m. Let l = 1.8 + p. What is l rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -43. Suppose 4*l - 5*a = 12, -a = -2*l - l + d. Let c be (-2)\/(-5) - (-80)\/50. Solve -c*k + 12 = 3*k - b, -l*k + 2*b + 10 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 + 2*h**3 - 4*h**4 + 53 - 54 + h**4 - 3*h**2 - 5*h in the form f*h**2 + s*h**4 + i*h + q + k*h**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 (base 13) in base 16?\nAnswer: 3fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 62 = 5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5214638 is divided by 227.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 12579710?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2372.23 * 0.2331.\nAnswer: 552.966813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.21 + -0.48.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lppwnzp. Give prob of sequence zp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -213.2315484 plus 37?\nAnswer: -176.2315484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 128, -2, 4 in descending order.\nAnswer: 128, 12, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1.2 (b) 27 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 8*y**2 + 12*y + 23. Let d be v(-9). Suppose -4*i + 1 = 5*t - 25, 0 = -2*t - 2*i + 10. Let l be 3*d\/t + 16. Solve l - 4 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/23 or 196756\/13?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-8))\/((-3)\/72*2). What is the highest common factor of b and 14328?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 8:55 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -1. Suppose 0 = 6*w + 9*w - 60. Solve w*t = m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3\/15 - 65888*b**2\/15 - 13509274*b\/15 - 694634884\/15 = 0.\nAnswer: -32738, -103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2730 (b) -3\/2 (c) -2 (d) 1 (e) -4 (f) 30 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 312 - 208. Suppose -4*y - b = -897, b + 3*b - 689 = -3*y. Let f = y - q. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -20, 0, -6281 in increasing order.\nAnswer: -6281, -20, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 7*i + 220. Is -21 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -0.072, 1, 4, -2.\nAnswer: -5\/2, -2, -0.072, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 716660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53677095721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/25 - 83\/85. Suppose 40*d - 28*d = 12. Is d at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002507 to seven dps.\nAnswer: -0.0000251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5134942l in millilitres?\nAnswer: 513.4942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4229815127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 491250510127 - -0.04\nAnswer: 491250510127.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -54*s + 743. Calculate the remainder when z(5) is divided by 229.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 8:20 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000243 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132 + 136. Let n = -0.04 - 0.36. Which is the closest to 2? (a) 6 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**4\/6 + 3402*f. Let w(z) = 1105*z + 6. Give w(o(k)).\nAnswer: 2210*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3032, -3072, -3076, -3026, -2904, -2692?\n\"Answer: 3*h**3 - 61*h - 2974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 22 = 2*n, 359 = 2*x + 355. Calculate the smallest common multiple of 658 and n.\nAnswer: 2632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k + 11. Suppose 72*u - 51*u = 42. Calculate f(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(1\/2))\/y*y)\/y**(4\/3)*((y*(y\/y**1*y)\/y)\/y)\/(y**(-5)\/y) assuming y is positive.\nAnswer: y**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11555 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068624 is divided by 368.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-5))\/(3\/15). Let b = y - -2. Solve 0*h + 3*p = -3*h - 24, b = 3*h - p + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 163 to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*s**2 - 54*s**2 - 116*s**4 - 175*s**4 - 653*s**4 + (0*s**4 - 3*s**4 + 2*s**4)*(-4 - 1 + 4).\nAnswer: -943*s**4 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 155545254391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -16. Let d be -2 - (-7)\/(q\/(-8)). Let b = d + 4. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4090320 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59694 - (-216 + -4)\/(-20).\nAnswer: 13, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 29. Let t = 13 + c. Let x = -0.22 + -0.08. Do x and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**4 + 75 + 3*h**3 - h**2 - 5*h**3 - 76 in the form n*h**4 + j + c*h + r*h**3 + u*h**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 368*c**2 - 1. Let q(w) = 17*w**2. Give f(q(a)).\nAnswer: 106352*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -30, -53, -86, -129, -182, -245?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 26044.848 to the nearest integer.\nAnswer: 26045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -56, -85, -114?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10412 divided by 137?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4, -l - 6 + 20 = 4*s. Which is the second smallest value? (a) -3 (b) 3 (c) 1\/2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1124620 divided by 224924\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61548*d**3 - 15401*d**3 - 15407*d**3 - 15335*d**3 - 15404*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(119) + -5*-1*sqrt(119) + sqrt(119))\/sqrt(7) + -5)*-5.\nAnswer: -35*sqrt(17) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6108 divide 113453422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -48.94 * -45865\nAnswer: 2244633.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by 31.\nAnswer: -81\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-112540)\/80*2*-2. Let j = 2256424\/401 - d. Are 1 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1172434\/1163310 + (-2 - (14\/(-15) + -1)). Let -2\/17*i**4 - 18\/17 + 20\/17*i**2 - 16\/17*i**3 + g*i = 0. Calculate i.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (95 - -3)\/(4 + -6). Let n = q - -56. Suppose n*p = 4*p + 87. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 57.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 27 + -6 + 3. Let j = 39 - i. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -29\/4*t - 1\/2*t**2 + 15\/4 = 0.\nAnswer: -15, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 25 = 21*k - 120 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - r**2 + r + 4. Let l be k(0). What is the highest common factor of l and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let p(l) be the third derivative of l**4\/24 + 7*l**3\/6 + 3*l**2 + 64. Calculate p(n(q)).\nAnswer: q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1928, 7774, 17496, 31088, 48544, 69858?\nAnswer: 95024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 4*f - 77. Let w be j(11). Suppose -43 = -2*n + 3*q, 6*n - 5*n + 4*q - 16 = w. What is the lowest common multiple of n and 4\/6 - 28\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-5))\/((9\/30)\/1). Let t(s) = -a*s - 16*s - 10*s + 30*s. Let d(r) = -6*r + 3*r + r. Give d(t(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 50*y + 2604. What is o(-52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.18 + 6. Let l = f - -0.079. Round l to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185907 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 10 = -j, 10 = k - 5*j - 2. Let d be 20\/k*(-2)\/(-5). Suppose -5*q = -d*q - 1. Solve -5*b + 7 - q = -3*l, 2*l = -b - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 - 67*t**2 + 345*t - 45. What is v(8)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in 0.5, 0, 0.03, -3\/2, 2\/63?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1449, 1445, 1441, 1437?\n\"Answer: -4*i + 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (39\/2)\/((-4125)\/1500). Which is greater: -2\/3 or t?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37124659*i**3 + 4*i**2 + 7182*i - 4?\nAnswer: -222747954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44252219, 44252172, 44252123, 44252072?\n\"Answer: -g**2 - 44*g + 44252264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14344639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*t - 85*t - 28 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 2610.\nAnswer: 22\/1305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwr when three letters picked without replacement from {r: 9, w: 9}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 29 = 16*s + 488 + 41 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 158\/4*(-8)\/(-2). Let w be (-17)\/(-3) - (-12)\/(-18). Suppose -2*i - x = -5*g, g - w*i - 27 = -0*g. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113860683 to the power of 1\/2, to the nearest integer?\nAnswer: 10671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (3 + -5 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 889 is divided by (-28 + 26)*1338\/(-12).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vovodvvvddodvdvdod. Give prob of sequence oo.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 2:10 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -69*d**2 + 407*d - 407*d + (2*d + 3 - 3)*(5*d - 2*d - 4*d).\nAnswer: -71*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 27*u**2. Let i(q) be the third derivative of -q**6\/180 + q**3\/3 + 5*q**2. Let s(d) be the first derivative of i(d). What is o(s(r))?\nAnswer: 108*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -7*q + 5*q. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7856 is divided by 414?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 10 = p. Calculate the common denominator of (-26)\/16 + -2 + 1 and (13\/(-1))\/(p\/(-2)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.79999869 - 20.8. Round d to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160423377 divided by -886317.\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/5 + 2 - -1. Suppose -3*h = 5*x - 139, 0 = -4*h - r*x + 121 + 46. List the prime factors of h.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 10:45 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 412.96 - 402.96. Let o = -1.8 - -2.5. Let z = -0.3 - o. Which is the second biggest value? (a) z (b) 4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 22 = -0*s + 5*s, -20 = -4*c - 3*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 79*a + 26*a = -69*a + 2738 for a.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2003326 to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -w + 2*m, -2*w - m = 4*m - 39. What is the lowest common multiple of w and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*m - 4. Suppose -m*h + 4 = -6. Let z be (h + 12\/(-8))*6. Solve z*y = y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.76 - 0.7. Let h = 0.01 - t. Let y = -1.95 + h. Which is the smallest value? (a) 5 (b) 5\/2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*r**2 - 20*r**2 + 25*r**2)*(10*r + 9*r - 16*r).\nAnswer: 297*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5684.09 + -5683.6299463. Let t = p - 0.46. What is t rounded to six decimal places?\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**2\/4 + 39*f\/4 + 21\/2 = 0?\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -23858284 bigger than -23858284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 2*v = -3*m, 2*m + 2 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*z**4 + 622*z + 1974 wrt z.\nAnswer: 48*z**3 + 622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -42 and 3.5319?\nAnswer: 45.5319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3213 and 6902?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 31 = -3*t - 3*a, 5*a = -3*t + 33. Suppose -s - t = -2*s. Let o be ((-100)\/(-6))\/(4\/s). Calculate the highest common factor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -j - 2*u, -2*j + 4*u = 2*j - 272. Let h = j + -49. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-2\/7))**(-19\/3)*l**(4\/3)\/((l*l**(-2\/23))\/l))**(-19))**(2\/17) assuming l is positive.\nAnswer: l**(-19760\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 14) + 8 - 29\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16645854.\nAnswer: 2, 3, 2774309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 + 4*u - 4. Let v be k(4). Let j = 37 + v. Suppose i + o - 50 = 0, -2*i + 2*o + 88 + 4 = 0. Calculate the remainder when i is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 782\/15 or -182?\nAnswer: 782\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 4\/5, 60, 11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3\/3 + 779*k**2\/3 - 101080*k\/3 + 1207184 = 0.\nAnswer: 76, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 25346?\nAnswer: -25350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19333854 is divided by 86.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/1859 and -129\/1690.\nAnswer: 18590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/20)\/((-3)\/(68 - 2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-72)\/(-21)*(9 + -2). Suppose -2*d - g = -2*u, -6*u + u = d - 42. Calculate the remainder when 69 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -8\/894083?\nAnswer: -8\/894083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3291 + 183 = 0. Suppose 4*c - g = 3*p, 0 = -3*c - 0*p - p + 382. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4*x - 8 = i, -4*i + 5*i + 2873*x + 8 = 2877*x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.068 and -0.6?\nAnswer: 0.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(153) + sqrt(17))*2.\nAnswer: 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*z + 16, -35*z + 32*z = 5*v - 24. Put z, -17, 3, 5 in ascending order.\nAnswer: -17, 3, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u + 914 + 768 + 3934. Put -3, 3, u, -1 in increasing order.\nAnswer: -3, -1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -6 + 12 + -32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 9*q + 405. Let t be 4\/(-6)*q\/3. Solve -4*r - n = -t, -3*r + 3*n = 5 - 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4\/12 - 31*w**3\/6 + w**2 - 1340*w. Give b(31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a tonne in kilograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 5, 17 in descending order.\nAnswer: 17, 5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 4*p - 1, -3*f = 12357*p - 12362*p - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30.96 - -30.98. What is the nearest to c in 3, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -27 + 96. Let f = d - 54. Calculate the lowest common multiple of f and 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/8 + 549*a**2\/8 + 3105*a - 3174.\nAnswer: 3*(a - 1)*(a + 92)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 1. Let y(a) = 7*a + 6. Let d(i) = -6*l(i) - y(i). Let z(w) = w + 1. Let p(t) = 6*t + 5. Let k(m) = 3*p(m) - 15*z(m). Calculate k(d(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44200 and 73322275?\nAnswer: 586578200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.21, 24\/7, 0?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40357*u + 66397 = -39366*u for u.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.93 - -0.07. Let q = -1 + 5.36. Let z = m - q. Round z to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1170*u**2 + 382\/3*u**3 + 3726*u - 972 - 14\/3*u**4.\nAnswer: -2*(u - 9)**3*(7*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -176 at most -176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.2 and 4079.\nAnswer: 37526.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i + 1. Let f be n(1). Suppose 0 = -f*m + 2*x + 20, 4*m - 3*x = m + 15. What is the remainder when (3\/6)\/(3\/84) is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**20*d*d*d\/d**(-13) assuming d is positive.\nAnswer: d**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 + 10*m**2 - m - 2. What is the smallest common multiple of 6 and i(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 - 125481*y\/2 + 15745481361\/4.\nAnswer: (y - 125481)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times -155639?\nAnswer: -217894.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**5\/20 - r**4\/3 - r**3\/6 + r**2 - 13*r. Let z be s(-4). Solve z*q - 3*q = 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.438, -4, -5, 3.1 in descending order.\nAnswer: 3.1, 0.438, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20310 (base 5) to base 8\nAnswer: -2462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 - 547\/5. Sort 1\/3, i, 0.3.\nAnswer: i, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -30\/19 (b) 3 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9639\/275400)\/((-7)\/4).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5\/((-50)\/(-16)))\/((-98)\/(-1674085)).\nAnswer: 2, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 25 = -5*r, -2*q - q + 3 = -r. Let k(x) be the second derivative of -x - 1\/3*x**r + 0 - 1\/2*x**2. Differentiate k(h) with respect to h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/42)\/(-4*35\/(-49)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 - 2*y + 4)*(-11 - 2 - 3 + (2 - 3 - 1)*(2 - 3 + 0) + 3 - 1 + 0)*(10*y + 5*y - 3*y) as w + m*y + h*y**2 and give m.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - a + 2. Let b be q(1). Let p be 22\/b - 2 - 3. Find the third derivative of -13*l - 9*l**3 + 7*l**2 + 13*l - p*l**3 wrt l.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/40)\/(55\/(-132)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2737 = 2*z, -u = 2*u + 4*z - 2725. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/75576 and 73\/24816?\nAnswer: 1662672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14\/12 + (-1555063)\/(-354).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -47949361?\nAnswer: 335645527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 9642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 826.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26 (b) -0.07 (c) -69 (d) 1.5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6888*1\nAnswer: -6888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 9*j + 12. Let c(v) = 3*v + 4*v + v. Let a be c(1). What is the remainder when 10 is divided by x(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 h when three letters picked without replacement from {m: 2, i: 2, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369196 is divided by 368181?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 41 - 18*s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 1, -280 + 271 = -5*g - 4*p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62428, -62414, -62378, -62308, -62192, -62018, -61774?\nAnswer: -61448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 13 = -2*g - 4, 2*b - 3*g - 13 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r - 3 - 368*r**2 - 10*r + 1 in the form b + z*r**2 + j*r and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v - 3*v + 0 - v - 2. Let x be (-20)\/90 - (-52)\/(-9). Give j(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266493 or -266494?\nAnswer: -266494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**3\/3 - 2*m**2 - 2*m. Let o be u(5). Suppose -x = 2*x - o. Solve -2*f = -x*d + d - 6, f + d + 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*a - 17*a + 58*a + (2 + 4 - 4)*(0*a + 2*a + 0*a) - 1 + a + 1 + (5*a - 2*a + a)*(-5 - 1 + 2).\nAnswer: 64*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 8\/17989 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1. Let h(s) = s**2 - s**2 - 85 + 73 + 12*s**2. What is h(o) + 12*y(o)?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1492.\nAnswer: 149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**6\/720 + l**5\/120 - l**4\/12 - 2*l**2. Let t(x) be the second derivative of w(x). Suppose -h + 20 = 3*h. Give t(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -85. Solve w - 21 = 5*i, 2*w + 2*i = a - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 8617 (b) -0.1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*s - 75, 0 = s + 3*s - 3*r + 65. Let l = 11 + s. What are the prime factors of (l - -2)\/(3 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 8*l. Let q(n) be the second derivative of n + 0 + 1\/54*n**4 + 2\/27*n**3 + l*n**2. Factor q(r).\nAnswer: 2*r*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207660 divided by 3461.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 8:29 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccffccccccffffcffccf. Give prob of sequence cfff.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 9311?\nAnswer: 102421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - j**3 - 2)*(3 + 2 - 3)*(-5*j + 0 + 0) - 3*j**4 + 5*j**4 - j**4 + (0 + j**2 + 0)*(2 - 2 - 2*j**2).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 378\/(-2961)*(16\/6)\/8?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.549736612 and -439.784.\nAnswer: -441.333736612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*j + 2*v + 99451, v = 4*j - 132598. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 3*c**2 + 1. Let o be r(3). Let t = 9 - o. Is ((-19)\/4)\/((-2)\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 10*y - 152. Let z(i) = -18*i + 305. Determine -7*v(g) - 4*z(g).\nAnswer: 2*g - 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/4*-156*(-138)\/(-11661)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6\/271, 3\/5 in decreasing order.\nAnswer: 3\/5, -6\/271, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 3*z + 3*z)*(-1 - 2 + 4)*(-27 + 72 - 141)*(-4 - 2 - 1)*(2 + 0 - 3).\nAnswer: -672*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1 + 0 + 2*k - 7. Suppose 2*w - 7 = 3. Does 2 divide m(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -516 and -54372.\nAnswer: 28055952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 121\/12 - 31\/3. Let b = 83 + -31. Let o = -209\/4 + b. Is o at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -7*c - 52. What is c rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1181984 to three dps.\nAnswer: -0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -50 - -5afd?\nAnswer: 5aad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 11. Determine k(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/4844 and 65\/42.\nAnswer: 14532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -7 + -4 + 11. Solve 4 = -5*u - 11, -3*h - c*u = 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 - 3*h**4 - 7*h**4 + (-1 + 2*h**4 + 1)*(1 + 0 + 1) - 3*h**4 + 0*h**4 + 4*h**4 + 3*h**4 + 0*h**4 - 5*h**4.\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -3 (c) 2\/5 (d) -4\/5 (e) -2 (f) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -333, -769, -1193, -1599, -1981, -2333, -2649?\n\"Answer: m**3 - 443*m + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 divided by -8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.4 - -24.5. Which is the nearest to s? (a) -2\/15 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*m**2 - 6*m + 6*m.\nAnswer: -101*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (214 - 192 + 471)*(-2*a**3 + 4*a**3 - 7*a**3) to the form p*a + l*a**3 + q + f*a**2 and give l.\nAnswer: -2465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1064418 - 4.\nAnswer: -1064422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a + 484 = 510 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17611 + 8868 = -28*i - 8883 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 - 29. Let v = s + -16. Factor 2*y**2 - 40 + 18 + 8 + v + 6*y.\nAnswer: 2*(y - 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*x**2 + 12*x**2 - 24*x**2 - 5*x**2 + 3 in the form q*x**2 + w*x + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 6 - 10 = 0. Let f = l + 7. Suppose 5*q - 3*x = 470, q = -f*x + 70 + 42. Round q to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + t = 42800003, 5*t = 6*t - 3. What is j rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 10:19 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*m + 40, 3*j + 2*j - 80 = 5*m. Calculate the remainder when 32 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 19.11. Let t = w + 0.21. Which is bigger: -3\/16 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 0.900216. Round o to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**2 + 1\/12*y**4 + y + 0 - 1\/2*y**3. Let x be p(3). Put 0, x, -3 in decreasing order.\nAnswer: x, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8\/51 + -14\/17. Let z = -13 + 12.5. Let i = 603.02 - 602.52. What is the closest to 7 in l, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + -75 + 86 + 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 392\/3*r + 31\/12*r**4 + 322\/3*r**2 - 161 + 94\/3*r**3 + 1\/15*r**5. Determine l so that j(l) = 0.\nAnswer: -14, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h - 26. Let d(z) = -3*z - 27. Let l = -68 - -62. Let v(x) = l*d(x) + 4*m(x). What is the remainder when v(19) is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114\/(-12) + 3 - 255\/(-85)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/120 and -1\/345.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - w + 7 + 11 + 15 - 40 in the form z + h*w and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u = 0. Let n(z) = -z**2 - 7*z + 3. Let h be n(u). Solve -h = -5*k + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3333010 (base 4) to base 3\nAnswer: 211101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 299 - 265. Let j be (-2)\/5 - 1406\/(-40). Let d = j - x. Do d and 1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*r + 93021 = 92537 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*u**2 + 77990*u - 83646742.\nAnswer: -22*u + 77990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-6)\/(-18))\/((-6)\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 65\/2548427?\nAnswer: 65\/2548427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-264)\/(-385) - 2\/7. Put 0.1, 3, y in decreasing order.\nAnswer: 3, y, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1 (c) 3 (d) -10 (e) -4 (f) -923\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 0 - (-14 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (19 - -1 - (-47 - -55))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 16*a + 20. Let q be p(17). Let l(b) = -b + 19. Let r(t) = 2*t - 14. Let x(j) = 3*l(j) + 4*r(j). Calculate x(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13754 and 11088898.\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(7))**2*-4 + 3.\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4056 is divided by 203?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 = -45*w + 16 + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -2. What is the greatest common divisor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.042234 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418298?\nAnswer: 2, 3, 7, 33769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**4\/3 + 8*f**2 + 5*f. Factor h(w).\nAnswer: -4*(w - 2)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -5591\nAnswer: 50319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-10))\/((2\/(-35))\/(9\/(-378)*30))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 12467 + 3*d + 41*d**3 + 12467.\nAnswer: 41*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 458 and -0.014 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 65*q. Let f(y) = -y. Let s(p) = -7*p. Let k(l) = -l**3 + 2*l**2 + 9*l - 3. Let w be k(4). Let h(c) = w*s(c) - 4*f(c). Calculate h(o(x)).\nAnswer: -195*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -2\/5 (b) 0 (c) 11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -0.3, -5.6654 in decreasing order.\nAnswer: 4, -0.3, -5, -5.6654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j + 7*k - 8*k, 0 = 4*j - 13*k + 13. Let h(g) be the first derivative of j*g - 1\/7*g**3 - 3\/2*g**2 - 3. Determine u so that h(u) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 584025 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*u**2 + 31*u**2 - 95*u**2.\nAnswer: -148*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.2. Let t be 7 + 3 + -2 - -2. Let q be 32\/(-30) - (-4)\/t. Put q, h, 3 in increasing order.\nAnswer: q, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(6 + -4)*(-6)\/4. Is 5585*(16\/5 + a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen halves of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 12:55 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552 divided by 8.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3725 - 26073\/7. What is the third biggest value in -5, t, 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*f + 5232 + 3542 = 476 + 2214 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*((h*h\/(h\/h**(-1\/11)))\/h)\/h*h**(-5)*(h*(h**0\/h)\/h)**(-23))**(-19))**(-26) assuming h is positive.\nAnswer: h**(108186\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-70))\/(3\/(-5)) - 6170\/9255\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 4 - 36*y + 9 to the form j + l*y and give l.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*f - 5*f - 2*m, 54 = -5*f - m. Let q = f + 10. Suppose -5*x + 45 = 5*p, 5*x + 3*p + p - 42 = q. Solve -5*g - 3*v = -4*g + x, -3*v - 6 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 13920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10029 + 10033. Find o such that 0*o**2 + 0 + 0*o**3 + 0*o - 3\/5*o**5 + 3\/5*o**w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1932947.\nAnswer: -3\/1932947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1521 - -874. Which is greater: -646 or t?\nAnswer: -646","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - 536\/32)\/(105\/40 + -3) is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c + 1. Let w be x(-5). Let r = 52 + -63. Let u = r + w. Are 11 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 + 4*t - 4*t**2 - 32 - 5*t - 11*t. Let f be z(-6). Sort -4, f, 23.\nAnswer: -4, f, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24403703.\nAnswer: 29, 523, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 8, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**5 - 1829187*r**4 + 4872337*r**2?\nAnswer: 120*r**2 - 43900488*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -447*i**2 + 608*i - 1 + 105*i**2 - 608*i - 321*i**2 to the form k*i + q*i**2 + c and give q.\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**2 + 209*f - 5082 = 0.\nAnswer: -231, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-16))\/((-330)\/(-20))*1?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -56133.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4 = j, 16*j - 12*j - 1 = -3*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6005 = 4*x. Let q = -24063\/20 - x. Calculate the common denominator of q and 59\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 237, 470, 703, 936?\n\"Answer: 233*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 60*t - 6. Let c(y) = -715*y + 70. Let s(x) = -6*c(x) - 70*k(x). Let q(h) = -2*h**2. Determine q(s(v)).\nAnswer: -16200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let y be j - (18 + 1 + 0). Let x = -9 - y. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)\/g)\/(g\/(g\/(g\/(g\/(g*g\/g**5*g)))))*g*((g\/(g*g*g*g*g**(-2\/11)))\/g)\/g*g*(g*g*g**(8\/5))\/g assuming g is positive.\nAnswer: g**(13\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 7*p. Let x be l(1). Suppose d + 2*a = a + x, -2*d - 3*a = -17. Suppose 5*u = -d*n + 1353, 1370 = 5*n + 4*u - 319. Is n 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 5:22 PM and 4:03 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from cccee.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 449, 849, 1273, 1733, 2241, 2809, 3449, 4173?\nAnswer: 4993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqxx when four letters picked without replacement from qxncxn.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:58 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1301 - 50. Let s = h - 1246. Let p = -7 - -11. Sort s, p, -0.7 in descending order.\nAnswer: s, p, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.31 times -0.5?\nAnswer: 1.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6193112000 to the nearest one million.\nAnswer: -6193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 2\/7 (c) -2\/13 (d) 4 (e) -0.151\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1072 and 208296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 6*b - 12. Let y = -5 + 1. Let i be (-18)\/y - (-12)\/(-8). Put 0, b, i in ascending order.\nAnswer: b, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 110471.\nAnswer: -6628.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 + (-2 - 1 - -2) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 5205 = 10*h + 3*d, 6922 = 4*h - 5*d. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c. Let z be v(1). Let j = z + 6. Sort -5, 5, j.\nAnswer: -5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*((-1*sqrt(108))\/(sqrt(144) + sqrt(144)*1 + sqrt(144)))**2 + -5.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(117))**2.\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11390 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16066 divided by 29?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 420703 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4\/2 + 125*k**3\/2 - 445*k**2 - 2020*k + 2400 = 0. Calculate k.\nAnswer: -30, -4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.47 + 0.03. What is v rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 47*h**2 + 97*h + 365. What is the hundreds digit of j(47)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 7:18 AM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.9852327 + -10.01476725. Let a = 18 + s. What is a rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2966*y**3 + 2336.\nAnswer: -8898*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155 - 153. Suppose 2*p + 5*w = 231, -p - 5*w = g*p - 354. Is p a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60343 or 60349?\nAnswer: 60343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5223735 and 1730?\nAnswer: 10447470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26316 - 4580. Suppose 4*b = -5*q + 3*q + t, 0 = -4*b - 3*q + 21734. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 0 - 4 - 2*v - v**2 + 5*v. Let b be ((-4)\/10)\/(3\/(-15)). Suppose -3*l = 11 - b. Calculate i(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from {l: 5, q: 7}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Let k = 8 - 5. Suppose -j = -9 + k. Let v(z) = 3*z**2 - j*z + 6*z. Give v(f(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and (-8)\/12 - (-1)\/(6\/52)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from {y: 1, p: 6, w: 6, d: 1, g: 3}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**4\/24 - b**3\/2 - 57*b**2\/2 - 34*b. Let f(h) be the first derivative of i(h). Let s = -3 + -4. Give f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 49 = 4*x, 10*p + 235 = 23*x - 22*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1076 - 0.2\nAnswer: 1075.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*s**3 + 4725*s**2 + 189190*s - 9240 = 0.\nAnswer: -21, 2\/41, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000142 rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 91188785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -70*1\/6*-3. Let z = 37 - v. What is the highest common divisor of 10 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-736)\/1932 + (-4)\/14 + 44\/(-6). Put -1, t, 2, 8, 3 in increasing order.\nAnswer: t, -1, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkx when three letters picked without replacement from {k: 2, t: 6, z: 1, x: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2\/17*v**2 + 10\/17*v - 8\/17 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/13)*h\/(h*h**(1\/6))*h)\/((h\/h**(2\/37))\/h*h*(h\/(h**(-11)\/h))\/h))**(-3\/16) assuming h is positive.\nAnswer: h**(35401\/15392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 30*z - 52. Let h be m(28). Let p be (5 + 0)*1*6. What is the derivative of 19*v + 0 + h + 1 + p wrt v?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/(-21))\/((-4)\/6) - 16\/(-24). Let i be (-2)\/(-12) + 14\/60. Which is the second smallest value? (a) t (b) i (c) -0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -54. Suppose -3*w + 407 = -4*g, 6*w = 3*w - a*g + 395. Suppose 4*m + 159 + w = 4*p, -p + 65 = -3*m. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 1 - 3*a - 1)*(8*a**2 - 2*a**2 + 0*a**2) + (4*a**3 - 4*a**3 + a**3)*(5*a - a - 3*a) + 12*a**4 + 6*a**4 - 3*a**4.\nAnswer: 22*a**4 - 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.365127 centimeters?\nAnswer: 0.00008365127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/40749 and -13\/8883?\nAnswer: 2567187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 75*y - 59. Let f(u) = 4*u**2 - 227*u - 177. Let j(q) = -2*f(q) + 7*l(q). Is j(-43) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 103991.8l?\nAnswer: 103991800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 50623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 711*l*p**3 - l*p + 403502*l - 387*p**3 wrt p.\nAnswer: 4266*l*p - 2322*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 153. What is x(119)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**5 + 3659*a**4 + 890493*a**3 + 72026125*a**2 - 14440874*a = 0.\nAnswer: -266, -233, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-104) + 1169\/91. Solve 5*i - 40 = -x*o + 8*o, 16 = 4*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1535? (a) 10\/13 (b) -0.4 (c) 4.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 643*v - 651*v = 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/27 + -5 + 0.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11376, -22687, -33998?\n\"Answer: -11311*v - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggssssggsgss. What is prob of sequence gs?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) -766 (c) 0.1 (d) 193 (e) -1\/5 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-4) + 15*(-1)\/(-6). Suppose -a*g + 1166 = -2*h + 4047, 2*h + 2*g - 2902 = 0. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a kilogram in grams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 23*p**2 + 21*p**2 - 35*p**2 - 29*p**2.\nAnswer: -67*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -50.13. Which is the nearest to -1? (a) t (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w, -2*w + 8 = o + 1. What is the units digit of (1 - 0)\/(o\/57)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 9:31 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16678941*u**3*x**2 - 3*u**2*x**2 + 1441266*x wrt u.\nAnswer: -100073646*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1417 and 11065834?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i = -3. Let p(v) = 4*v**3 - v**2. Let r be p(i). Let y(k) = k**3 - 92*k**2 + 255*k + 1080. Let l be y(89). Solve -d - l = r*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1344\/(-36))\/(-16))\/(1\/(-3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -7288.\nAnswer: 5\/7288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = -10*c. Solve -u - 4*p - 13 = c, p + 19 = 3*u + 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 970*b - 1596. Let a(t) = -14*t - 2. Let l(v) = -a(v) + d(v). What is the first derivative of l(c) wrt c?\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 11*q**5\/60 - q**3\/3 + q**2. Let o(w) = 3*w**2 - 23. Calculate the remainder when z(3) is divided by o(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a day in seconds?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 + 11*x - 11. Let g(n) = 2*n**2 - 5*n + 5. Let d(m) = 13*g(m) + 6*v(m). Let j = -1016 + 1013. Is 17 a factor of d(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 - 201368*x + 604068.\nAnswer: 4*(x - 50339)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 8 + -3 - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 2 = -8*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 11 = 1, 3*y = -5*k + 87. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.53 - 0. Let i = -2.6 - g. Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 60*a**2 - 66*a + 364. What is the remainder when 128 is divided by p(61)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + q**2 - q**3)*(-2*q + 4*q + 3*q)*(-2*q + 5*q + 0*q).\nAnswer: -15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 65477304 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1396 divide 670316094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54)\/(-8)*(-12)\/(-45)*5. Find the first derivative of -136 + 20*u - 45*u + o wrt u.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1540)\/(-175))\/(-22))\/((-176)\/(-55)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by 1.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 + -7061b?\nAnswer: -705b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 + 9 + 16 + 722*s - 722*s + 505*s**2 as y + t*s**2 + b*s and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 10*y - 8 = -2*u, 3*y = -5*u + 21. Solve -2*f = 5*r - f, -y*r + 4*f = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10149388 is divided by 1844?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x + 896 + 608. Let v = 318 + x. List the prime factors of v.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 17 = 5*r. Suppose -2*a + 9 = 2*m + 3*m, 21 = 2*m - 5*a. Suppose m*d = 7 - 1. Solve -r*n = -8 + d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306975 is divided by 2192?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.25 (c) -65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4110 and 11986815?\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 25, -1, -5, 0.1, 0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.4 (b) -0.3 (c) 0.87 (d) -2\/111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/(49\/14))\/((-4)\/(-6)). Let n = 27 - 32. Put -4, n, s, 5 in descending order.\nAnswer: 5, s, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - ((1 - -5) + 84 + -91).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7046 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001100010011101 (base 2) to base 11.\nAnswer: 27398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24163 (base 10) to base 3.\nAnswer: 1020010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*-2)\/sqrt(7))\/((sqrt(72)*2)\/sqrt(12)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62581, -62603, -62651, -62737, -62873, -63071, -63343?\nAnswer: -63701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.71539 microseconds in milliseconds?\nAnswer: 0.09271539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i - 10. Suppose 4*s - 184 = 5*u, 3*s - 4*u - u = 143. Let t = s + -36. Calculate the remainder when i is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y + 11. Let v be s(7). Let d be 3\/(3\/36*3). What is the highest common divisor of d and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356987147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**4\/12 - c**3\/2 - 3*c**2 + 4*c. Suppose f = -3*x + 5, -3*f + x = -0*f - 15. Let g be d(f). Solve 2*t - g - 2 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - 4 - -16 - (6 + (3 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-8))\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooycooocjycoooj. What is prob of picking 3 c and 1 y?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**2 - 8*y + 11. Let x(m) = -2*m**2 + 3*m - 4. Give -3*q(a) - 8*x(a).\nAnswer: -2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 10 - m**3 + 2*m**3 - 10.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(6*j - 2*j - 2*j)*(273*j**2 + 77*j**2 - 69*j**2) + 2*j**3 + 4*j - 3*j + j to m*j**3 + a*j**2 + r*j + d and give m.\nAnswer: -1122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16513176 rounded to 5 decimal places?\nAnswer: 0.16513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**5\/70 + 47*z**4\/42 - 13*z**3\/3 + 45*z**2\/7 + 1470*z. Factor s(d).\nAnswer: -2*(d - 45)*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 16*t + 40 = -3*g + 21*t, -3*g - 4*t = g - 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 2127563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 11 - 92 = 0. Suppose -3*h = -2*d - y, 0*d = h + d - 9. Calculate the greatest common divisor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*n + 57*n = -2*b - 55*n - 11, -5*n = b - 17 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 - 26 - 332*b**2 + 61 to the form i*b + u*b**2 + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + 2 + 0)\/2. Suppose -n + 123 = -2*u, -3*u = -5*u - 8. What is the third derivative of 37*b**2 + n*b**j - 42*b**3 - 48*b**3 wrt b?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*i**3*l*o**2 - 26*i**3*o**2 - 49*i**2*l*o**2 + 692*i*o**2 wrt l.\nAnswer: 21*i**3*o**2 - 49*i**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 10*a**2 + 14*a - 144. Let o be t(10). Sort o, -55, -2, -7 in decreasing order.\nAnswer: -2, o, -7, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 t when four letters picked without replacement from {t: 1, q: 14}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160052098 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) -2\/7 (c) -0.15 (d) -1439 (e) -3 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuiikchuucukh. Give prob of picking 2 u and 1 c.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7508, -15003, -22482, -29945, -37392, -44823, -52238?\nAnswer: -59637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5, m: 2, s: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + 11 + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -4 (c) -227 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 95 + -1 + -6 + -33 + 28.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -608370 - 465845 = 9341*j for j.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 + 16*g + 3*g - g - 4*g + (g - 3*g + 3*g)*(3 + 0 - 2) - g + g + g + 0 + g + 0 - 2*g - 2*g + 2*g - 2*g + 6*g + 5*g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 819.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44691 is divided by 117.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 603 and 335.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 929 - -5599. Does 96 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 19 + (-13 - (-171)\/9). Suppose -g = -0*g - 56. What is the highest common factor of t and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzd when three letters picked without replacement from {z: 3, f: 1, d: 3, b: 3}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1. Let p be 25\/150 + 58\/12. Let h(b) = -2*b - 7. Determine p*y(g) - h(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2. Let o(x) = 2*x**2 - 12*x**2 + 8*x**2. Let s(z) = o(z) - t(z). Let g(v) = 13*v**2. What is s(g(l))?\nAnswer: 507*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*a + 34 = -115*a - 20 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135 + -117. Suppose -14*i = f - 9*i - u, -12 = -f - 3*i. Put f, 2, 5 in decreasing order.\nAnswer: 5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4 - 600*o**3 - 79573*o**2 - 157350*o - 78376 = 0. What is o?\nAnswer: -404, -194, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {n: 2, z: 2, r: 2, i: 1, q: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13356 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s - 150. Let n(b) = 18*b + 2. Determine i(n(y)).\nAnswer: -90*y - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -10 (b) 2\/3463 (c) 5 (d) 0 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 2*d**2 - d - 1. Let i be g(-2). Let t be i + 1 + 5\/5. Suppose -7*s + 32 = -t*s. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28998.8 decades in months?\nAnswer: 3479856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 2500.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-8)*2\/14\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 0) + 0 + 54. Suppose -9*w + 5*w = x. Let c = 22 + w. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33, -0.16, 19704.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532495.\nAnswer: 5, 281, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - c - 4. Let l be d(-3). Let n(z) = z - 5. Let x(s) = 2*s - 8. Let f be (-2 - -5)*(-2 + 1). Let o be f + 0 + 4\/(-2). Determine l*n(r) + o*x(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 1)*(14 + 37 - 29) + 2 - 1 - 2)*(65*v - 65*v - 3*v**2)*(v**2 - 1 + 1).\nAnswer: 69*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13044 (base 5) to base 2\nAnswer: -10000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 22 + 19 + 4*c - 24*c**2 - 2*c - 6 + c**3. What is the units digit of w(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4716809*v. Let g(c) = 12*c**2. What is g(w(i))?\nAnswer: 266979445709772*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**4\/6 + x**3\/6 - 36*x**2 + 9. Let z(r) = -r. Let n(s) = s**2 + s. Let t be n(-2). Determine t*c(o) + 6*z(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(-u + 2*u + u) + 7*u - 2*u - 3*u - 3 + 3 + 475*u - 202*u.\nAnswer: 271*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 4*j + 4. Let y(a) = -a + 1. Let d(k) = -h(k) + 5*y(k). Let u(i) = 2*i**2 - i + 1. Let n be 1 - (-1 - -2)*-1. Calculate n*d(x) - 2*u(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(7\/3)\/p*p)\/p)\/(p**(-12)*p))\/(p**(3\/4))**(-14) assuming p is positive.\nAnswer: p**(137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 13 + 14. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4218, -4222, -4240, -4272, -4318, -4378?\n\"Answer: -7*y**2 + 17*y - 4228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 11:45 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m. Let b be o(2). Let p = b + -10. Solve -3*n = 3*z - 5*z + 1, -n + 2*z - 7 = p for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 139\/(-511) - (-10 + 476\/49). Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(7\/3)\/u**(-9)*(u**34)**(5\/6) assuming u is positive.\nAnswer: u**(119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -63*j - 1379. Calculate d(-21).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, k: 4, h: 4}. Give prob of picking 1 k, 1 o, and 2 h.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.5 (c) -0.103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 b when four letters picked without replacement from {p: 9, b: 7}?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddccddccdccc. What is prob of picking 2 c and 2 d?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 31792.\nAnswer: 1\/15896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 100 = -m. Let k be ((-308)\/(-1232)*(-2 + 2))\/1. Solve -4*n = k, -5*u - 2*n + 5*n - m = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 e, and 1 z when four letters picked without replacement from zenzn?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f. Suppose 3 = -51*r + 52*r. Let b(k) be the first derivative of 0*k**2 + 0*k + 3 - 1\/3*k**r. Calculate v(b(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/2))**(8\/17)*(r**(-1\/4)*r)**(-7\/3) assuming r is positive.\nAnswer: r**(-39\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 0.02 (c) 2 (d) -28879\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 - 2. Let s = a - -1.4. Let t = -25 - -73\/3. What is the third biggest value in t, s, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24571 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0 + 5 = 0. Let h be -2 - (k - 2) - 1. Solve h = 2*l - 3*l - 5*z - 15, z + 19 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -w**4\/12 + 5*w**3\/6 + 3*w**2 - 2*w. Let c be x(6). What is the units digit of (2 - c)\/2*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 14 - 41 + 3*t - 24 - 2*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24 - -17)*(-4)\/14. Suppose 0*x - x + 5 = 0, -t*x - 754 = -4*w. What are the prime factors of w?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69070 - 68981.069. Let p = 89 - c. Let y = 0.0549 - p. Round y to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145754 and 432796.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 47*w**2 - 23*w - 622. Give v(46).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of h**5\/60 - 5*h**4\/12 + 3*h**3\/2 + 14*h**2. Give y(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*d - 33*m + 28*m, 0 = 3*d + 4*m + 5. Solve -7 = 4*g + 3*h, d*h - 39 = 5*g - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.84 - -30.74. Let n = t + -23. Round n to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (sqrt(200) + 1 + sqrt(200))) + sqrt(200) + 5 + -4)**2 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 434 - 824. Suppose -5*o = k + 164, k = 3*k + o + 337. Let n = k - j. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11934858 equal to 11934859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(117) - sqrt(104)\/(2*sqrt(8))) + -2.\nAnswer: -1 + 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-9 + 7 + 12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1069 - 0.1603. What is m rounded to three decimal places?\nAnswer: -0.267","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5361990 to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23529*d**3 - 671*d**2 + 97.\nAnswer: 141174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3274690421 + -0.55769\nAnswer: -3274690421.55769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8888644 millilitres?\nAnswer: 0.0008888644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3998.7 + -3994.7. Let y = 0.09 - 0.03. What is the nearest to 0.06 in y, i, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4697584ng?\nAnswer: 0.0000000000004697584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 93, 86, 77, 66?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7094763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -a285d?\nAnswer: a2856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1539) + -3)**2*2 + -3 + 5.\nAnswer: -180*sqrt(19) + 3130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from {q: 4, o: 1, k: 1, p: 4, i: 4, v: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:14 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t - 155*t**2 + 52*t**2 + 48*t**2 + 61*t**2 + 2*t**3 - 6 - 3*t**3. Determine s(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 13. Let w = -3561 + 3561.2. Which is the closest to w? (a) -1\/7 (b) -0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2874, -2875, -2876, -2877, -2878, -2879?\n\"Answer: -t - 2873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 541, -4, 6, -64 in decreasing order.\nAnswer: 541, 6, -4, -28, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = 17*j - 5*j - 8*j - 2*y, 0 = 20*y - 460 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1080 is divided by 214?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/2))\/o**(3\/4)*o**(-4)*o*o*o**(-4))\/((o*o*o**5*o**(-1\/3))\/((o\/o**6)\/((o*o**(-5))\/o))) assuming o is positive.\nAnswer: o**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 12:32 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37, 12, -11, -32, -51, -68, -83?\n\"Answer: m**2 - 28*m + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -142514, -284755, -426988, -569207, -711406?\n\"Answer: q**3 - 2*q**2 - 142242*q - 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, u: 6, a: 4, m: 1}. What is prob of picking 3 a?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(320)*2 - (2*sqrt(500) + 2 + sqrt(180)))**2*3.\nAnswer: -1224*sqrt(5) + 156072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95043215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.935 * 0.6.\nAnswer: 0.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -1 + 2 - 768\/400. Let c(x) be the first derivative of 0*x**4 + 0*x - 1\/15*x**6 + 0*x**3 - 1 - d*x**5 + 0*x**2. Factor c(v).\nAnswer: -2*v**4*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 220*i**2 + 234*i. Let l(h) = 219*h**2 + 232*h. Let m(r) = -2*l(r) + 3*s(r). What is the second derivative of m(y) wrt y?\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 8:22 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -27*t - 220. Give z(-11).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 - 5*k + 4 - 4*k - 4*k + k**3. Suppose 1245*j - 1256*j + 77 = 0. What is the tens digit of l(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -118*l**4*m**3 - 189*l**4*m - 7967*l*m + 35*m**3 wrt l.\nAnswer: -1416*l**2*m**3 - 2268*l**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 6 = -2. Let l be 3\/3 + 1\/4. Let m = 22 - 21.5. Which is the biggest value? (a) o (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203244*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2. Let o(n) = 540313249*n. Calculate o(h(x)).\nAnswer: 540313249*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88*c + 5774*c**2 - 46*c**6 - 5773*c**2 - 193*c**6 wrt c.\nAnswer: -28680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 11*d - 94. Let m = -40 + 59. Calculate the remainder when z(15) is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 96 = 4*l. Let i = l - -136. What is the highest common divisor of 200 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8848 = -354*j - 17634 - 8564 for j.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 138877753 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2076 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.02 (b) 4 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1095 - -1085. Let h(v) = -3*v**2 - 27*v + 6. Calculate h(y).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1820.212ml?\nAnswer: 1.820212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/5 + 3548*z**3\/5 + 3538*z**2\/5 - 31932*z\/5 - 31923\/5 = 0. What is z?\nAnswer: -3547, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600922 = -609*w - 532105 for w.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 0.2 (c) 15774\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 269\/2 at least 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -43.5. Let m be 2*(1 - 0)\/(-4). Which is the third smallest value? (a) m (b) t (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 2.79\nAnswer: 11.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -342.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, l: 3, j: 1}. What is prob of picking 1 j and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*n**4 + 12 - n**4 - 3 + 12 wrt n?\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-66 - 1)*(0 + -1) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/630 + -4 + 18\/5. What is the biggest value in -107, w, 0.3, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 11. Suppose -10*b + 16 = -2*b. Let 3 + 1 + 6*x - o - b*x**2 = 0. Calculate x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -869683 divided by 1\nAnswer: -869683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b - 4*b**2 - b**2 - 47*b**4 - 7*b**3 + 44*b**4.\nAnswer: -b*(b + 1)**2*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 20. Suppose -2*l - 2*k = -3*k - 14799, -x*l = k - 22186. Suppose -5*o - 4*g = -0*o - l, -2*g + 7401 = 5*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z - 7 = -i, 70 = 4*i - 2*z. Suppose -i*g = -21*g. Suppose f - 29 = 4*x, g = -5*x + x + 4. What is the smallest common multiple of f and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by 85.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -26*k - 85. Let v be j(-6). Let c be (-17)\/2 + (v - 66). Sort c, 4, -0.5 in descending order.\nAnswer: 4, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 485 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * 1.351.\nAnswer: 48.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2. Let n(c) = -53*c. Give n(g(j)).\nAnswer: -106*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13, 6, -3, -14, -27, -42?\n\"Answer: -m**2 - 4*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 3, 0, 2, 5, -3.\nAnswer: -3, 0, 2, 3, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 17*v**2 + 2*v - 44. Let i be l(17). What is the fourth biggest value in 0.4, -1, 2\/17, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-49)*355740\/(-2640)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.95 - 14. What is the second biggest value in 0.4, f, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 210897292, 421794587, 632691882?\n\"Answer: 210897295*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-19 - (13 + 8) - -25)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -13*q**3\/2 - 907*q**2\/4 + 985*q - 1011 = 0.\nAnswer: -1011\/26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 923*s - 10*s**3 - 923*s + (2*s**2 + 3 - 3)*(-2*s + s + 0*s) - s**3 + 2*s**3 + 0*s**3 to a + c*s**2 + d*s + z*s**3 and give z.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 909, 1823, 2737, 3651, 4565, 5479?\nAnswer: 6393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 139? (a) 0 (b) 0.2 (c) -2\/17 (d) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103792692 a multiple of 2002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-87)\/27)\/(8 + (-426)\/54)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2223\/585*-275)\/11\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 392, 15 in decreasing order.\nAnswer: 392, 15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 + -3)*1\/2. Suppose -5*h - l = -3*f, -2*f + 5*h - 4 = -2. Solve -8*b + f*b + 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from yykyyyk?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 8080.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1667*k + 711555 = 683216 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 12*r**5 - 12544*r**4 - 262688*r**3 - 1787352*r**2 - 3762220*r + 1462552 = 0.\nAnswer: -7, 1\/3, 1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -433*l - 4386. Calculate c(-10).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5597260, -5597259, -5597258, -5597257, -5597256?\nAnswer: -5597255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -662, -1826, -2990, -4154, -5318?\n\"Answer: -1164*x + 502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 3:42 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 7 + 3)*(2 - c - 2)*(-2 + 0 + 0) + (1 + 3 - 6)*(c - 4*c + 4*c) + 0*c - 5*c + 3*c + (13 + 9 - 12)*(0*c - 3*c + 4*c) to j + q*c and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2 + 6097704*h + 9295498517904 = 0. What is h?\nAnswer: -3048852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 157\/126 + -5\/63. Let f(c) = c**3 - 3*c**2 - 4*c + 1. Let y(u) = -u + 9. Let x be y(5). Let h be f(x). Is h >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + -0.1. Let x = 0 - -2. Let t = x - 1. Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -241588*s - 30*s**3 - 45*s**2 - 5*s**4 + 241588*s.\nAnswer: -5*s**2*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*w, 31 = 3*i + 3*w + 2*w. Suppose -1 = i*y - q + 26, -40 = 3*y - q. Suppose 10*p + 18 + 2 = 0. Do p and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/480 and -58\/171.\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-40)\/(-9) - 82510\/50175\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 952*h + 5952 + 42690 = -208*h for h.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 57935790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 415 and 53701?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2. Let j(y) be the second derivative of -y**5\/15 - 3*y**3\/2 - 8*y - 8. Let n(b) be the second derivative of j(b). What is r(n(p))?\nAnswer: -192*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103620383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 45*g. Let d be q(4). Suppose d = -5*h + 825. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -22, -39, -76, -139, -234, -367?\n\"Answer: -w**3 - w**2 + 7*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**12))\/y**(1\/3))**(1\/12))**(16\/5) assuming y is positive.\nAnswer: y**(-148\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*j - 35*j**5 - 19*j**5 + 11*j**5 wrt j.\nAnswer: -860*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**5\/60 - 5*a**2. Let i(f) = -7*f + 6. Let t(m) = -m + 1. Let c(b) = i(b) - 6*t(b). Calculate c(p(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(255)\/(sqrt(5)*-1))\/(sqrt(15)\/(sqrt(10)\/sqrt(2))) - (-5 + sqrt(2448)*1*-2)**2.\nAnswer: -9817 - 241*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-20))\/(1\/(-4)). Suppose 5*i = 4*i + 4*w - 1, -1 = i - 2*w. Is i >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 - (-1491)\/9. Suppose 4*b - 4*h = 36, b - 3*h - 55 = -4*b. Suppose -f + b + 1 = 0. What is the greatest common factor of r and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8795 or -3577?\nAnswer: -3577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 955641*-3.2.\nAnswer: -3058051.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-756)\/(-1764) - (1 - 76\/182). Let k = -1.19 - -0.19. Which is the closest to 0.1? (a) 6\/11 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54, 60, 56, 36, -6, -76?\n\"Answer: -l**3 + l**2 + 10*l + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = i + 3*q, 668*i - 663*i = 3*q - 144 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmkpmamommkmoma. What is prob of sequence mppm?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (5 - 14) - 13\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -24, -1, 1460, -2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/10 + 431*j\/5 + 185761\/10.\nAnswer: (j + 431)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -226301 take away -2684.8?\nAnswer: -223616.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 5 - 6)*(-2*z - z + 4*z + (-1 - 4 + 4)*(-z - 1 + 1) + 3*z - z - z - 2*z + z + 3*z + z - 2*z - z + z + 4*z - 3*z) as d*z + i and give d.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 12.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*((sqrt(288) + (sqrt(288) + 0 - sqrt(288)) + -4 - sqrt(288)) + (0 + sqrt(288))*-5 + 4).\nAnswer: -240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 277\/1386?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 3, 4708.\nAnswer: 1\/2, 3, 4708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 37 = -5*r + 104, 99 = -5*m + 2*r. What are the prime factors of (m + -238)*(-1 - 2)?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/12 and 79\/43620?\nAnswer: 43620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 7:14 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 o when four letters picked without replacement from {o: 2, e: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42294383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 3. Let h(u) = u. What is 4*h(d) + y(d)?\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333322 (base 5) in base 13?\nAnswer: -c59b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 201d89 + 6?\nAnswer: 201d91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.7 - 2.3. Let y = h + 16.41. What is y rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1785)\/(-153) - (8\/12 + -1). Solve 8*v = x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 1)*-1*-6.\nAnswer: 6 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3483*z**2. Let g(c) be the first derivative of c**2\/2 - 650. What is d(g(u))?\nAnswer: 3483*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*u**4 - 50295*u**3 + 33515*u**2 - 5585*u = 0. Calculate u.\nAnswer: 0, 1\/3, 1117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 54*c = 681174. What are the prime factors of c?\nAnswer: 2, 3, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + t = -4*o + 927, 5*o = -3*t + 1549. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -5, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12624406, -12624407, -12624408, -12624409, -12624410, -12624411?\n\"Answer: -z - 12624405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 - ((5 - 4) + -4 + 9)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -68. Calculate the highest common divisor of 372 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36379237777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3830177.\nAnswer: 13, 294629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -401067.34 to the nearest 100.\nAnswer: -401100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*4)**2 + 2.\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 + 3*u**2 - 6*u**2 - 20*u**2.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/864 and 10\/3.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 156*c**3 + 3*c - 2. Is w(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128427992 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.12083131 to four decimal places.\nAnswer: -0.1208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 58269410 to the power of 1\/2, to the nearest integer?\nAnswer: 7633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 + 75 + 43*b)*(-7 + 5 - 2 + 1 + 3 - 3 - 4 + 3 + 3 + (0 - 3 + 2)*(-5 - 3 + 6) + 2 - 2 - 1 + 3 - 4 + 2)*(2 - 3 - 1).\nAnswer: -86*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 - a**2 - a. Let f be v(-2). Let o be (2\/(-4))\/((-1)\/4). Suppose 0*s = 5*s - 10, h - o = s. Solve 0 = 2*u - h + f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -31*z**3 + 5*z**2 + 10*z + 6722. Let h(g) = 6*g**3 - g**2 - 2*g + 2. Determine -5*h(y) - p(y).\nAnswer: y**3 - 6732","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20902022, -41804048, -62706074?\n\"Answer: -20902026*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 + (-9)\/6*-2 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -655 = 5*l - 2*t, -2*t = 2*l - l + 143. Let o = l - -667\/5. Let m be (-4)\/(-8) + 8\/(-32). What is the closest to m in -5, o, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11517 - 11516.99989635. What is c rounded to six dps?\nAnswer: 0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 35 - -263?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 1. Let a(f) = -11*f**2 + 20*f - 39. Let x(p) = -a(p) + 2*d(p). Is x(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 1, a: 1, z: 1, h: 1}. Give prob of picking 1 a and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*o - 79956869 - 129551131. What is o rounded to the nearest one hundred thousand?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2170 and 341.\nAnswer: 23870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i**2 + i**2 + 0*i**2)*(-24*i - 3*i + 5*i) in the form z*i**3 + w + d*i + v*i**2 and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 28 - 2. Calculate the remainder when 55 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 - (-12)\/(-176)*1089 - (-7)\/(-4)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5787, 5781, 5775, 5769?\nAnswer: 5763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - (-31 - -23) - -52.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11911.\nAnswer: 43, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-942)\/21 - -11*5\/(-385).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 + -80. What is the third derivative of -14*o**d + 15177*o**4 - 2*o - 10*o**2 - 15179*o**4 - 24*o**3 wrt o?\nAnswer: -48*o - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-7))**(-2\/17)\/(c**(2\/5))**32)**25 assuming c is positive.\nAnswer: c**(-5140\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3061, 6146, 9253, 12382?\nAnswer: 15533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b*b\/(b\/b**(-1)))\/b))\/b)**(1\/3)\/(b*b**(1\/3))**(-7\/6)*(b*b**(2\/3)*((b*b*b**(-4)\/b)\/b)\/b)\/((b**3*b)\/b**3) assuming b is positive.\nAnswer: b**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6206*t. Let o(w) = -w**2. What is o(k(a))?\nAnswer: -38514436*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 818938 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (185 - (1 - -2)). Let s = d - -62. Let o = s + -138. Is o a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*x)*(-1 - 2 + 4) + 2*x - 5*x + 2*x + 1 - 1 + x + (x - 5*x + 2*x)*(0 + 2 - 1).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21\/4? (a) 1 (b) 3.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13023529397 take away 2.9?\nAnswer: -13023529399.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 0*r - 1\/5*r**5 - 2 + 0*r**4 + 0*r**3 + r**2. What is the second derivative of f(l) wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*m + 9. Let j be 11\/33 + (-10)\/(-6). Suppose -s - j*u - m = 0, 2*s - u - 19 = -s. What is the closest to 2\/5 in s, -0.3, -3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 2*i - 6. Let g be j(4). Suppose 3*z - 3*s - 39 = 0, -3*s = 7*z - 2*z - 65. Solve 2*y - 2*b - 16 - g = 0, 2*b + z = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 - 5*d**2 - 4*d**2 + 5*d**2 - d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 19766658966 and 3.\nAnswer: 19766658969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 3*o - o)*(-4 + 3 - 1)*(3 + 0 - 1)*(0 + 2 - 4).\nAnswer: -40*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1884, 1878, 1868, 1854, 1836, 1814, 1788?\n\"Answer: -2*m**2 + 1886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 3*v = -7, -2 = 4*i + 2*v + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 2*c - 1. Let f(m) = 2*m**2 - 2*m. Let w = -10 - -26. Let q = w - 13. Let i(d) = q*n(d) + 2*f(d). Determine i(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16 + 0.09. Let y = 7 + -6. Let k = 1.2 - y. What is the smallest value in k, 3\/8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - 67 - (-125 - (245 + -374))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*1*(-6)\/(-234)*-6)\/(-1).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 3 + 3)*(f**4 - 3*f**4 + 7*f**4) + 4*f**2 + f**2 - 3*f**2 - 2*f**5.\nAnswer: -12*f**5 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(1 - (3 + -3)). Let j(v) be the third derivative of 0 + 1\/60*v**5 + 0*v**4 + 2*v**2 - 1\/120*v**6 + p*v + 2*v**3. Determine j(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3823313 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 158 + -134. Let r = -5 + 6. Let c = r + b. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379052 is divided by 693.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112148822?\nAnswer: 2, 3851, 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -16 + 28. Suppose 0 = -3*q - y*o - 3, 4*o = -4*q + o. Solve 8*h = q*h - 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 4:18 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -17120 = 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u + 10 = 0. Let y(f) = -3*f - 25. Let w be y(-9). Suppose d + 144 = 3*j - 2*d, -2*j - w*d = -96. Calculate the remainder when j is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364692211 to the power of 1\/3, to the nearest integer?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**2. Let r(j) = -3*j - 73*j**2 + 19*j**2 - 17 - 87*j - 28. Let c(t) = t**2 + 2*t + 1. Let s(d) = -45*c(d) - r(d). Give s(w(h)).\nAnswer: 441*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/192 and -46 - -42 - (-578)\/96.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 116\/24 + -3 - 1\/(-6). What is the second derivative of m**5 + 5*m**5 - 2*m + 2*m - h*m wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - -2*2\/(-4). Let z be (3 - 3\/1)*-1. Suppose -2*y + 4*y - 20 = z. What is the highest common divisor of y and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 43 = -172. Let s = u + 72. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 - -2. Let d = 0.8 - 0.4. Let z = d - m. What is the second smallest value in -0.2, -0.4, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/20 + 13*m**4\/12 + m**3\/3 + 7*m**2\/2 + 7*m. Is h(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*-5*5\/(-75)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z**2 - z + 72. Let t(u) = -9*u**2 - u + 71. What is -3*m(s) + 2*t(s)?\nAnswer: 3*s**2 + s - 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1747995 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -8*w - 6. Suppose -w*u = k + 24, 4*u + 21 = 2*k + 9. Let b(h) = -h**3 - 6*h**2 - 5*h + 2. Determine b(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 10 = 13. Find the second derivative of 2*v**3 - 13 - y*v**3 + 13 + 15*v wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 2:11 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/2)\/3)\/((-60)\/120)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7221\/11 or -656?\nAnswer: -7221\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.864955034 rounded to four decimal places?\nAnswer: -0.865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) 2 (b) -2\/11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -6889472\/9 - 2\/9*f**2 - 7424\/9*f = 0.\nAnswer: -1856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a = 3*f - 15*a - 13, 24 = 5*f + 4*a for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-56))\/(1\/((-49)\/(-28)))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/292643 or 645?\nAnswer: 2\/292643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296 = 4*k - 41*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (7 + (7 - 12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*f**5 - 17*f + 17*f + f**2 - f**5 - f**2 + (-1 + 1 - 2*f)*(-3*f**4 + 2*f**4 + 3*f**4).\nAnswer: -16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 37*o + 139 = -40*o, -2*o - 191 = -3*q. Solve -q = 38*w - 97*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/19110 and -171\/1421420.\nAnswer: 29849820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 320*b. Let v(c) = 1. Determine 2*v(q) - w(q).\nAnswer: -320*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 21 = 3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1697 and 282?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53*q - 195*q - 169*q - 214*q - 453*q)*(0*q - 2*q + q) to the form r + d*q**2 + u*q and give d.\nAnswer: 978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 16. Put 4, 2, -1, b in decreasing order.\nAnswer: 4, 2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-3)\/4 + 680\/544\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*l + 11 = 104*l. Determine v so that -32 - 15*v**2 + 24*v - 5 + 1 + l*v**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**3\/3 + 3*f**2\/2 - 3*f - 1. Give s(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2 - 1258*s + 8904 = 0. What is s?\nAnswer: -636, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122 + 0?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3022*k + 1. Let x(y) = -2*y - 1. Determine l(u) + 3*x(u).\nAnswer: -3028*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 2:30 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324 a factor of 94433268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-294)\/112*-1)\/((-3)\/2). Which is the nearest to -1\/3? (a) 2\/3 (b) -4 (c) y (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gohoggghgooo. What is prob of picking 2 h and 1 g?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147949004 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55364.5 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -11) + -2 + -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 m when four letters picked without replacement from {m: 3, q: 2, j: 6, c: 1}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.74 rounded to 0 dps?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 186 - 191. Which is the nearest to -0.1? (a) -0.1 (b) -3\/16 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/24726 and 17\/527805?\nAnswer: 13722930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**4 - 7696*k**3 - 4*k**2 - 19*k wrt k.\nAnswer: 48*k - 46176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -21, 75 in descending order.\nAnswer: 75, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -11*d + 63. Let i be y(15). Let j = i - -104. Suppose c = -5*u + 155, j*c = -5*u + 90 + 225. Does 40 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u. Let v(o) = -14*o. Let l(q) = 17*n(q) - 6*v(q). Let p be l(2). Let z(y) = 9*y**2 - 3*y - 3. Is z(p) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -105272, -210743, -316216, -421691, -527168, -632647?\n\"Answer: -u**2 - 105468*u + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 4405 - 43. Suppose -4*k + 11 - 31 = 0, 4*g - 4*k - o = 0. Let p = 386 - g. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2 - 2*c + 8 + 7 - 4*c. Let w(s) = 5*s - 12. Let r(q) = -4*h(q) - 5*w(q). What is r(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/((z\/z**(-3\/11))\/z*z*z*z)))\/z**(7\/6))\/(z\/z**(-30\/11)*z*z**(-2\/31)))**(6\/17) assuming z is positive.\nAnswer: z**(-5231\/5797)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/3348137 and -89\/856?\nAnswer: 26785096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from {c: 1, p: 1, n: 1, y: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25499*i**6 + 26021*i**2 wrt i.\nAnswer: -3059880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 11*y - 2. Let g be s(6). Let w(j) = 3*j**3 + j**2 - 6*j. Let u(k) = 5*k**3 + 2*k**2 - 11*k. Calculate g*u(o) - 7*w(o).\nAnswer: -o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a kilometer in meters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 3*x - 1. Let k(g) = g - 18. Let d be k(14). Let y be r(d). Solve y*n - 11 = 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + w + 8, -5*y + 19 = -5*w + 2*w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -0.4, -1815.21, -3\/17?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k + 4 + 10*k + 8*k**2 - k**3 - 4 to t*k + f*k**3 + d*k**2 + v and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27156 (base 9) to base 14.\nAnswer: 6993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-4.6\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -24*p + 262. Determine u(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/2667 and 17\/558165.\nAnswer: 3907155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-16))\/(80\/960))\/(15\/6).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 - 252 = 30*i + 341 - 99 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2708 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5974, -5943, -5912?\nAnswer: -5881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100)*3*-1 + sqrt(1100) + 3 + 4 - (-4 + 2 + (sqrt(1100) + 1)**2 + -5).\nAnswer: -1087 - 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1777 or -4046?\nAnswer: -4046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b - 10*b - 8*b - 16*b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 656 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -134, 0, -1 in ascending order.\nAnswer: -134, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18055725655298 + -0.1?\nAnswer: -0.28055725655298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3}. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3345 = 5410. Calculate the highest common divisor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2 + 104*r + 408. Let y be c(-6). Solve 0 = 4*t + 20, 11*p - 4*t + y*t = -46 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1175 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1) - (5 + -1 - 17). Suppose 5*m + 4 = j. Is m bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186883 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: Suppose 0 = -2*b - 3*b - b. Suppose -3*t + 2*f + b = -7, 3*t + 13 = -2*f. Are -1\/75 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8389.747ug in milligrams?\nAnswer: 8.389747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from qqoqoqqoqqqqoqoqqqq?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 240) + 139 - -31?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -30. Suppose 4*j - x = -2*y + 15, 4*j = 5*y + 6. Solve -u - y*u - 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 72574744 and 0.303.\nAnswer: 72574744.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 407*q**3 + 1203*q**2 + 3631*q + 2020.\nAnswer: (q - 404)*(q - 5)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3)\/3*(-36)\/(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002861115 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1. Let g(r) = 3*r**2 - 3. Let o(p) = -g(p) - 3*j(p). Let t(y) = y**2 + y + 8. Let c be t(0). Let a(s) = c*s - 8*s - 2*s**2. Give o(a(m)).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.62 + 178.38. Let s = k + -180.7. Which is the third biggest value? (a) -0.4 (b) -3 (c) s (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4459085569 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1487747?\nAnswer: 557, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70862.35cm to millimeters.\nAnswer: 708623.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1090*a**2*d**2 - 230*a**2*d + a**2 + 2*a*d wrt d.\nAnswer: -2180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 498 - 448. Let y = -26 + -8. Let a = q + y. Solve l + 9 = -h, 0*l - a = -l + 4*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*2*-5*4\/(-40)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 120*p - 474. What is o(64)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 2*a**7\/105 + a**6\/10 + a**5\/15 - a**4\/2 - 4*a**3\/3 - 22*a**2. Determine j so that c(j) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 827, 6632, 22393, 53090, 103703, 179212, 284597?\n\"Answer: 830*y**3 - 2*y**2 + y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2284 (b) -5 (c) 3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6297 * -19.\nAnswer: 119643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 104 = -29. Suppose 2 + 46 = 3*b - f, b + 3*f - 6 = 0. Calculate the highest common divisor of b and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 - 2*3\/3. Let d be ((-15)\/r)\/((-5)\/15). Suppose d*a - 3*i = 145, -i = -4*a + i + 116. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 + -0.42. Let g = l - -0.3. Let o = 2\/89145 + -6604\/29715. Which is the fourth smallest value? (a) o (b) -0.5 (c) g (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3396858l in millilitres?\nAnswer: 339.6858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*g**5 + 4*g**4 - 8*g + 4 wrt g?\nAnswer: 760*g**3 + 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106*n**4 + 2054 - 3579*n**4 - 7080 wrt n.\nAnswer: -14740*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 6 = 2*n, -3*c - 5 - 1 = n. Let g be n*-2*2\/(-3). What is the second derivative of -6*m**g + 3 - 3 + 2*m + 4*m**4 wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*x - x + 10*x - 3*x + 526*x**3 + 3*x in the form r + c*x**2 + q*x**3 + w*x and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/15 (b) 10030 (c) 9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 458*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/4958440 and -9\/112?\nAnswer: 69418160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 17*u**2 + u. Let k be 2\/(-6) - (-4)\/3. What is the smallest common multiple of c(k) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 105, 113, 123, 135?\n\"Answer: x**2 + 5*x + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-40)*x**(3\/8)\/x)\/(x**39*x)**(1\/8) assuming x is positive.\nAnswer: x**(-365\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8 - 2 - 4*v + 3*v with respect to v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10082*l. Let c(n) = 2402*n**2. What is c(a(g))?\nAnswer: 244155431048*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26359 (base 10) to base 5.\nAnswer: 1320414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -10*h - 122. Let o(d) = 9*d + 124. What is -6*g(i) - 7*o(i)?\nAnswer: -3*i - 136","meta":{"dup_signals":{},"source":"polynomials__add_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: What is the highest common factor of 119 and 1701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3, 5*j - 6 = 3*l + 8. Let g be l + 39\/15 + (-6115)\/25. What is the hundreds digit of g\/(-2) + -1*(-5)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14676 (base 8) to base 9.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert b7c8 (base 14) to base 16.\nAnswer: 7bf4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1158 and (23 + 21550\/70)*(-7)\/(-1)?\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 + 76. Let g(j) = j**2 - 2*j - 2. Calculate the remainder when g(-4) is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19367 is divided by 1187.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*b = -9, v - 2*b - 6 = -0. Suppose -4*m - 3*m + 1029 = v. What is m rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28564?\nAnswer: 2, 37, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-60)\/(-5)) + 710 + -661.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 593 + -362. Suppose -378 = -i - 17*i. What is the highest common factor of i and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*n**3 - 3)*(6 - n + 2*n**2 - 4 - 3).\nAnswer: 4*n**5 - 2*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r + 18 = -10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 r, and 1 o when four letters picked without replacement from {r: 4, w: 1, o: 1, m: 2, h: 1}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 4*d + 24. Let m(b) = b**3 - 14*b**2 + 11*b + 21. Let a be m(13). Let q be r(a). Solve -n + q*k + 2 = -13, 5 = -4*n + 3*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -4.08931, 2\/9, 1\/2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*v = -13, -5*v + 3*v = 5*k - 22. Let m(u) = u**3 + u + 5. What is the remainder when (13\/2)\/(2\/k) is divided by m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1531316576 + 54*p**3 + 21*p**3 + 1531316576 - 319*p**3.\nAnswer: -244*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1563*p*w**3 - 1838*p with respect to w.\nAnswer: 4689*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.056 + -0.944. Which is the second smallest value? (a) v (b) -2 (c) -55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/27 - (-4)\/(-18). Is (2 - h) + 132\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58459698 divided by 115533?\nAnswer: -506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 12\/271?\nAnswer: 12\/271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/8 (b) 0.4 (c) -2\/9 (d) -5 (e) 2\/142225 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 312?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 1. Let m be q(-3). Let d be (-2 - (-1 - -6)) + m. Sort -1, d, 4.\nAnswer: d, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 16*y**2 + 18*y + 22. Let g be s(-17). Suppose -t + 9 = g. Calculate the greatest common factor of 36 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 13. Let f be ((-1294)\/(-28))\/((-4)\/z). Let g = f - -93\/2. Is g >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2153 divided by -3046.\nAnswer: -2153\/3046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*j - 207 = -5*o, 4*o = -j + 176. What are the prime factors of o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 12054*r + 12057.\nAnswer: -3*(r - 1)*(r + 4019)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**3 - 32800*q**2 + 10112000*q - 798720000 = 0?\nAnswer: 160, 6240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.058365.\nAnswer: -0.11673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1055222 (base 6) to base 10\nAnswer: 54302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmmyypympmqpqpyygyy. What is prob of sequence gm?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3715523?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 21*m + 0*m**3 - 25 + m**2 - 5\/3*m**4. Let x(o) be the first derivative of z(o). Find the first derivative of x(k) wrt k.\nAnswer: -40*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**11*a*a**(-2\/23)*a*a**(-7\/2)\/(a\/(a\/a**1)) assuming a is positive.\nAnswer: a**(387\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1 - -0.3. Let o = 2.4 - s. Let d = -0.04 + -0.26. Which is the closest to 0? (a) -2 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 - (10 - -4). Let h = -25 - x. Let l = -16 - h. Let v(g) = g**2 + 6*g + 5. Determine v(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*y + 4. Let l be (6*(-1)\/y)\/(-1). Is (19\/(-2))\/(l\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from vvvvvvvvvvvvvvvnnvvv?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(130) + -2*(sqrt(130) - 2*sqrt(130)) - sqrt(130))\/sqrt(10).\nAnswer: 4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 96, 176, 312, 504, 752, 1056, 1416?\n\"Answer: 28*c**2 - 4*c + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1097 and -0.392.\nAnswer: 1096.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26257 or -26266?\nAnswer: -26257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 7 - 11, 11 = 3*l + 5*x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fssfssfsff. Give prob of picking 2 s.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -3\/2*u**2 + 1\/4*u**4 + 1 + u**3 - 3*u. Let o be z(-3). Solve -g + o*g - 33 = 4*q, 0 = -5*q - 2*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrhhhrhr. What is prob of picking 4 h?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 20153 = -x + 3*l, -2*x + l = -8059. Let o = x - 2781. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {f: 1, e: 2, h: 3, k: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*k + 77*k - 42276 = -29*k. Solve 51*x - 12*x = k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3967*q - 3962*q - 114545 = 0. What are the prime factors of q?\nAnswer: 31, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**6\/360 + 23*m**5\/120 + 5*m**4\/24 + 50*m**3\/3 - 3*m - 61. Let b(t) be the second derivative of k(t). Calculate b(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1471645 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/7)*m)\/m**(-5\/6))\/(m**(-1\/2)*m)**(-16)*m\/(m*m**(-4\/9))*(m*m**(1\/7))\/m*m**(-6)*m*m**(4\/7) assuming m is positive.\nAnswer: m**(719\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by (102\/8)\/(-5 - 161\/(-28)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 10 - 3, 3*t = -5*y + 6425. What is the smallest common multiple of t and 852?\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/7 - 4\/14. Let t be (-18)\/(-8)*(-20)\/15. Let f be v\/(-3)*t*0. Solve -28 = -4*p - 4*g, p + 5*g - 2*g - 15 = f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2709)\/455 - -4 - 6\/30 - -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-78)\/14 + (-15)\/35 - -55264) + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583904504?\nAnswer: 2, 19, 202183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.73 - 0.53. Let r = 17 - l. Let j = 2 - r. Put j, -0.3, -0.07 in increasing order.\nAnswer: -0.3, -0.07, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 10130?\nAnswer: -10135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 + 5142?\nAnswer: 5169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*d = 0, 0 = 6*m - 2*m - d. Which is the third biggest value? (a) -5 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/(190\/(-10))*33\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 - ((-51)\/(-18) - 4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**9\/504 - l**5\/30 + l**2 - 2*l. Let j(m) be the first derivative of z(m). What is the third derivative of j(x) wrt x?\nAnswer: 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22110120101 + -20122?\nAnswer: 22110022202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 + 9*x + 48. Suppose 147 = -q + 142. Is p(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y + 1. Let q be h(6). Calculate the highest common factor of 104 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or -1\/41?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 1:30 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5402, 5519, 5690, 5891, 6098?\n\"Answer: -4*q**3 + 51*q**2 - 8*q + 5363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 70*r**3 - 33*r**2 + 11*r. Let a(z) = 35*z**3 - 17*z**2 + 6*z. Let c(m) = -11*a(m) + 6*x(m). Find the third derivative of c(u) wrt u.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -24. Let s(n) = 3*n**2 + 7*n - 4*n - 3 - f. Let a be s(-3). What is the highest common factor of 28 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962836 a multiple of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 7*y - 57. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:26 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**5 - 192*d**4 + 3375*d**3 - 24018*d**2 + 68064*d - 47232 = 0.\nAnswer: 1, 6, 8, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1168\/12013?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1776677820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100101 - -11110101010101111100?\nAnswer: 11110101011011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 432819 and 152.\nAnswer: 432971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 2\/11, 17, -2, 0.4, 4\/5 in decreasing order.\nAnswer: 17, 4\/5, 3\/4, 0.4, 2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150444410 - -14119.\nAnswer: 150458529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10bc - -71a?\nAnswer: 17d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/226 + 7069\/4746. Let b = y + -8\/7. What is the smallest value in -2\/13, -1, b, -1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 9*m**5\/20 - m**4\/4 + m**3\/6 + 2*m. Let o be u(2). Is 9\/(-2)*o\/(-3) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s**3 - 40*s**3 - 8*s**3 + 13*s**2.\nAnswer: -64*s**3 + 13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139474705 is divided by 51?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -427*m = -2433951 - 2370226. What are the prime factors of m?\nAnswer: 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpwpwwwbwb. Give prob of picking 3 w.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 835 + -835. What is the closest to -2\/13 in 4, -10, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -2*g - 5*d, 786*g - 789*g = 37*d + 117 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5764*g**2 - 5*g**4 + 5754*g**2 + 0*g - 9*g**3 + 0*g + 2 - 4*g**4 to c + b*g**2 + t*g**3 + f*g**4 + v*g and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*z + z. Let r be (-10)\/(-4) + z\/(-4). Suppose -2*k - 3*k = -15. Solve r*l + k = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3*g + 8, -4*g = 2*b + g - 7. Let s be ((-12)\/9)\/(b\/(-3)). Solve s*t + 21 = 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19948500?\nAnswer: 2, 3, 5, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -51. Let t(m) = 1. Let p(s) = -5*s**2 + 6*s - 6. Let i(f) = q*t(f) + p(f). Find the second derivative of i(w) wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46005256991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -0.032\nAnswer: 0.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 greater than or equal to 417\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*142.4125.\nAnswer: -17.0895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 493449, 987145, 1480841, 1974537, 2468233, 2961929?\nAnswer: 3455625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = 54*v - 610. Solve 2*b - 5*l + 9 - 2 = 0, -4*l + v = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 17844160*l - 3. Let c(y) = -y. Calculate c(i(o)).\nAnswer: -17844160*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 46. Calculate w(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 330, 491, 650, 807?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-4)\/14 - (-535)\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 26*a - 170. Let z be y(-23). Let w = -287 + z. Solve -w*v + 2*g - 3 = 0, 3*v = -2*v - 4*g + 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97751, -97752, -97753, -97754, -97755?\nAnswer: -97756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26\/167 + 2791\/1837. Let c = 79275 + -79274. Is c at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 21*y - 31*y. Let j(l) = -6*l**2. Calculate j(p(s)).\nAnswer: -16854*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Let b be (1\/(-2))\/(2\/(-12)). Suppose -c = -u - b. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - m**5 + m**5 + 3*m**5 - 2*m**5 + (m**2 - 2*m**2 + 0*m**2)*(4*m**3 - 5*m**3 + 0*m**3) - 2 + 2 + 2*m**5 - m**5 - m**5 + 4*m**5.\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 8:39 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 2, h: 1, z: 1, x: 4}. What is prob of sequence ls?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39, 51, 31, -27, -129?\n\"Answer: -k**3 - 10*k**2 + 49*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 - -182. Calculate the smallest common multiple of o and 7.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, j: 1, e: 1, v: 1, b: 3}. What is prob of picking 2 b and 2 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*20\/350*(33\/(-4) - -8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2392 = -230*y - 6348 for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*n**4\/3 - 1024*n**3\/3 + 148*n**2.\nAnswer: -4*n**2*(n + 37)*(7*n - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, r: 3, s: 1, v: 1, d: 1, w: 2}. Give prob of sequence ww.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4587, 9181, 13777, 18375, 22975, 27577?\n\"Answer: k**2 + 4591*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 - 249*r + 11*r**2 + 251*r.\nAnswer: 6*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4648\/15 or 311?\nAnswer: 4648\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829729613?\nAnswer: 829729613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -136 divided by -3\nAnswer: 136\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -d**4\/24 + d**3\/3 + 226*d**2 + 2*d. Suppose -4*b = -3*i - 0*b + 12, 5*b = 15. Give r(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h - 29*h = s - 116, 0 = -4*h - s - 164. Which is smaller: -42 or h?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 382762 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 0*o + 0*o + (-1 + 0 - 1)*(22 - 22 + 6*o))*(o + 2*o + 0*o).\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488652 is divided by 726.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 5. Let v(f) = f**2 + 3*f - 13. Let k be v(-6). What is the first derivative of 6 - t + a*t - k*t wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-2 - -1)) + -15 + 15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/14 + 24\/14. Suppose -6 = -t*s - 0*s. Suppose -s*w + 9 = 4*r, 4*r + 1 = -w + 12. Is 4 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 4:06 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -192769452, -385538906, -578308360, -771077814?\nAnswer: -963847268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158545 is divided by 993.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 v when four letters picked without replacement from uuuuuvuu?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*y - 57*o + 53*o, 3*o + 3 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Let i = x + -2. Let t be 10 + -1*5\/(-5). Calculate the highest common factor of i and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8323*w**4 - 13304 wrt w.\nAnswer: 33292*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/126*1*6\/(-8). Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 = 4*c - 3. Suppose 7*t = 6 + c. Solve -w = 2*h - 3, -4*h + t*w + 12 = 2*w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2485469900 rounded to the nearest one million?\nAnswer: 2485000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 17*h - 3*h + 7*h - 4*h. Let g(j) be the second derivative of -j**4\/12 - 24*j. What is g(f(y))?\nAnswer: -289*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 588 by 1.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/13926 and 11\/12293071?\nAnswer: 811342686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 35*p**2 - 3. Let i(d) = 175*d**2 - 14. Suppose 21*r + 294 = 119*r. Calculate r*i(q) - 14*z(q).\nAnswer: 35*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90.196 - 2.\nAnswer: -92.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -15 (b) 10 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173*c**2*d**2 - 2*c**2*d*w**4 + 19*c**2 + 4321*c*d**2*w**2 wrt w.\nAnswer: -8*c**2*d*w**3 + 8642*c*d**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 + -0.1. Let w = 11190 - 11189. Which is the fourth biggest value? (a) f (b) 3\/19 (c) -1 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n. Let y(l) = -l**2 - 61. Calculate y(w(k)).\nAnswer: -64*k**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66.8 + 49.8. Which is smaller: -5\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -159 (b) -5.67 (c) 3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3607\/112 + 204\/7. Calculate the common denominator of h and (-23)\/(-4)*(-2)\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/8))**18 assuming z is positive.\nAnswer: z**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 6 - 2 - 136*k + 102*k. Let u be o(-17). Let z = -5 + 5.06. Is z bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d*d**(-2\/7))**7*(d\/(d\/(d*d*d**(-1\/8)))*d**(-1))**(-9) assuming d is positive.\nAnswer: d**(-23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 11*i - 24. Let w be s(4). Suppose 7*x = 8*x - 5*c - 2, -w = -2*x - 2*c. Solve 2*f = -x*b - 16, -b = -5*f + 3*f - 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 4*p**2 - 2*p + 4. Let j be i(-2). Let g(h) = h**2 - 4 - 3*h - 3*h + h. Let y be g(6). Solve j = -5*f - 3*l + 19 + 13, -y*f = -4*l + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/189996 and 3\/1240772?\nAnswer: 264284436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10205540 (base 9) to base 10.\nAnswer: 4905153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*v - 37*v - 100*v + 325*v - 22*v.\nAnswer: 138*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -9. Let g = 16 - 10. What is the highest common factor of t and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5896 + -2995. Suppose -15*l + 9411 = r. What is the greatest common factor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-1)))\/n)**(2\/3)\/(((n*(n**(-1\/3)\/n)\/n)\/n)\/((n*n**(-8))\/n*n*n)) assuming n is positive.\nAnswer: n**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u**4 + 0*u**4 + 2*u**4 - u**4 + 2*u**4 + 0*u**4 + (-2*u + 3*u - 3*u)*(u**3 - 2*u**3 + 2*u**3).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 0.6, 1, 1\/7, 1\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/(261\/522)*208.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005607 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1909 + 1909 + 47*z**3 + (0*z**2 - z**2 + 2*z**2)*(2*z - z - 3*z) as i*z**2 + j + g*z**3 + b*z and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 + 361. Let p be (-45)\/75 - a\/5. Does -53 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31d (base 16) to base 7\nAnswer: -2216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -713\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366572465995.3 + 44.\nAnswer: 366572466039.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17879*l**2 + 54585 wrt l.\nAnswer: 35758*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.4, -17, -5 in descending order.\nAnswer: 0.5, -0.4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.34 - 0.06. Let w = 118\/35 + -14\/5. Sort w, m, -5 in increasing order.\nAnswer: -5, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -994*8552.\nAnswer: -8500688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -41030?\nAnswer: -41039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y**2 - 8*y + 11. List the prime factors of d(5).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 33113.96 grams?\nAnswer: 33113960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5685363 is divided by 441?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -380*d + 380*d - 69*d**2 + 0*d + 0*d + 2*d**2 - 2*d**2 - 5*d + 5*d - d**2 + 0*d**2 + 3*d**2 + (2 - 2 - d)*(d + 0 + 0) + 2 - 2 + 2*d**2.\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 213725.9ug in kilograms?\nAnswer: 0.0002137259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 15)*(2 + 8\/(-6)). Let h be (i\/4)\/((-6)\/27*-3). Factor -6*q**h + 0 - 3\/2*q**2 + 0*q.\nAnswer: -3*q**2*(4*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from {k: 1, b: 1, w: 1, e: 5, i: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 - 2*l**2 + 10*l**2 to m*l**2 + y*l + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13914961*r**4 - 14572417*r wrt r.\nAnswer: -166979532*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -8, 2*s - 2*p = -7*p + 298. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29737 = -m + 29748. Solve 12 = m*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1200122122100?\nAnswer: 1200122122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(68)) + 4.\nAnswer: -2*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/36 and 532\/(-144) - (-1 + (-14)\/(-21)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 907, 3808, 8629, 15358, 23983?\n\"Answer: -2*t**3 + 972*t**2 - t - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 201412427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-126) + 40\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -471 - 1?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/18 + 2\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2164425 and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -345, 2, -4 in increasing order.\nAnswer: -345, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 327 + -264?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 3*j - 3*j)*(1 + 5 - 4)*(7*j + 29*j + 33*j)*(-j + 4 - 4).\nAnswer: 276*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 0.1, -0.0117, -0.5, -3.5, -3?\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 162*w**5 + 3*w**2 + 47*w wrt w.\nAnswer: 9720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 6 - -8)*-281. Let n = -776 - w. Calculate the remainder when n is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56851.\nAnswer: 139, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 6*s**2 + s - 2. Calculate d(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 70.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-35)*(-12)\/(-72)*63?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - 5*(sqrt(78) + sqrt(78)*-3) - sqrt(78))\/(-3*sqrt(6)*-5 + sqrt(6)).\nAnswer: 5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/55, -1\/11, -0.3, -4\/11, -3 in decreasing order.\nAnswer: -2\/55, -1\/11, -0.3, -4\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5 = -0. Calculate the remainder when x\/(-4) - (-165)\/12 is divided by 23\/3 - (-2)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285 by 9.\nAnswer: -95\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 v when four letters picked without replacement from {v: 7, o: 12}.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 64\/3 of a decade?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9541 is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -593732674, -593732672, -593732670, -593732668?\nAnswer: -593732666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3282.3 and 1143.\nAnswer: -3751668.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3)*(-27)\/(-45). Which is the biggest value? (a) z (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*q - 95*q - 139*q)*(-37 + 37 - 15*q**3 - 4*q**4).\nAnswer: 1252*q**5 + 4695*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)\/sqrt(3))\/sqrt(3))**2 + sqrt(19) + 0 + sqrt(38)\/sqrt(2) + sqrt(19).\nAnswer: 3*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398575908?\nAnswer: 2, 3, 2729, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -96*b**3 + 5*b**2 + 3*b - 5. What is the hundreds digit of l(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 2 (c) -0.2 (d) 1\/8 (e) -135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -5\/2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 - 9*t**3 + 3*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(92\/(-8) + 4). Let m(d) = -3*d - 41. Let z be m(q). Calculate the highest common factor of 44 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.97+36.0774\nAnswer: 37.0474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 6*v. Let b(n) = -2 + 0*n**3 + n**3 + 7 - 182*n + 173*n. Let l be b(3). Suppose -4*w = 27 + l. Determine y(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 35 = 8*z, 0*n - 3*z + 110 = -8*n + 3*n - 0*z for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 85a4 - 4?\nAnswer: 85a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3\/5, 5, -0.4 in decreasing order.\nAnswer: 5, -0.4, -3\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3074089*w + 4810 = -3074219*w for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160904738?\nAnswer: 2, 2851, 28219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 2*b - 4*b)*(2 + b**2 - 2)*(10 - 10 - 7*b**2).\nAnswer: -14*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 6. Let s be t(5). Suppose 2*g - s + 2 = 3*f, g = -3*f - 8. Let c be (-7 - -5) + (-18)\/(-6). Sort f, c, 5 in decreasing order.\nAnswer: 5, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 67. Suppose 4*p - 205 = -333. List the prime factors of f(p).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - -26. Suppose 5*v - 140 = t. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v + 210. Let m be ((-14)\/v)\/(7\/(-5)). Let j be (-23460)\/15912 - (-8)\/26. What is the biggest value in m, j, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c - 3*c + 3*c)*(5247 + 8353 - 4349 + 13531 + 4777 + 21952) in the form p + r*c and give r.\nAnswer: -247555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 480 = 3*j. Let n be ((-8)\/10)\/(2\/j). Let c = -20 - n. Solve 0 = 4*o - o + c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017732 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/722 and -157\/257412?\nAnswer: 4890828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from dttqcqttbqq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5927.72 - -14.4?\nAnswer: -5913.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuzu when four letters picked without replacement from ddduezdzudduedd?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d = -32*d - 21. Sort 3, 1, d, 5 in increasing order.\nAnswer: d, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3608389 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + z - 4*z = -18, -n + 3*z - 14 = 0. What is the common denominator of -37\/6 and (-889)\/(-14)*(n - (-8)\/(-9))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 267 and 42.\nAnswer: 3738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -cdd50 (base 14) in base 2?\nAnswer: -1111001111001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 326973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + 8. Let i be u(2). Solve 0 = -i*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11\/56 + 3\/8. Let k = -2437 + 17062\/7. Put k, 2\/3, m, 2 in descending order.\nAnswer: 2, 2\/3, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769952 is divided by 76993.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 3*b**2 + 2*b + 3. Let j be p(-2). Suppose 0 = -3*m - 1 + 16, 0 = -4*t + j*m - 7. Suppose -t*l - 2*l + l**2 + l**2 = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p**3 - p**2 + 1 + 0*p**2 - p**2 to the form a*p**3 + f*p**2 + y*p + z and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*g - 31 = 0, -206*t - 5*g = -205*t - 84 - 6 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 151*w**2 + 76*w + 25. What is the remainder when 476 is divided by y(-76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.28 - -0.279768. What is r rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.23 * 1459966\nAnswer: 4715690.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c**2 - 2*c**3 + 2*c**2 - 4*c - 10*c - 2*c.\nAnswer: -2*c*(c - 4)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 20 = -7*z, 0 = 3*z + 198*t - 399*t + 202*t + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -110994 times 1.8\nAnswer: -199789.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7468004.\nAnswer: 2, 1867001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*g + 3964015, 4*i + 5449765 = -4*g + 1485753. Round i to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 405*b**4 - 54855*b**3 + 1861400*b**2 - 819180*b + 90720 = 0?\nAnswer: 2\/9, 63, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 15*u**2 + 12. Let z(q) = -q**2 - 1. Let j(p) = -k(p) - 12*z(p). Let a(l) = l**2 + 2*l - 2*l. Determine j(a(g)).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -4 - (58 - 45)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 146604608 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*m - 16132, 17 = 4*m - 3. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pff when three letters picked without replacement from {f: 9, p: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -360, -361, -362, -363, -364, -365?\n\"Answer: -v - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -136620, 3 in increasing order.\nAnswer: -136620, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - o**2 - o - 2. Let k(c) = 4*c**3 - 7*c**2 - c + 15. Let x(n) = -3*h(n) - k(n). What is x(10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/86 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 260, 249, 238?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*-1*sqrt(20)\/(-1*sqrt(10)) + ((1*sqrt(24) - sqrt(24))\/sqrt(12) - sqrt(22)\/(-3*sqrt(11) - sqrt(11)))**2).\nAnswer: -10*sqrt(2) + 5\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*l**2)*(6 - 1 + 4)*(-l - 2*l + 4*l) + 0*l**3 + 4*l**3 + l**3 + 3*l**3 + 2 - 2.\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s. Let w(r) be the second derivative of -r**5\/120 + r**3\/2 - 2*r. Let f(j) be the second derivative of w(j). Give -f(h) - y(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -181*p - 436*p + 73*p - 3794 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/((-768)\/4))\/(((-25)\/(-4))\/(-5))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 80\/(-8)*2\/(-4). Suppose -n*c - y = -164, -4 = c - 4*y - 20. Let l = -3 + 20. Calculate the remainder when c is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -42075725?\nAnswer: -1\/42075725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 17519\nAnswer: -7\/17519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 13695*z**2 + 165485*z + 1169175.\nAnswer: -5*(z - 17)*(z + 5)*(z + 2751)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((153\/10)\/17)\/(-3).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11 - -6) + 105\/(-195). Which is bigger: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -i - 3*l, -16*i + l + 3*l - 397 = -5 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -87939804 divided by 1956\nAnswer: -44959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = n - 2. Let a = 181 - 177. Sort n, a, 5.\nAnswer: n, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 8 + (-84 + 4)\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 12:34 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:43 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(2\/9)*b)\/b*b**(-1))\/(b*b**1*b)**(-32\/3)*(b**(-1\/4))**(2\/9)*(b\/(b\/(b\/(b**6*b*b*b))*b))\/b*b*b**(-2\/11)\/b assuming b is positive.\nAnswer: b**(1517\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7928 + 6*m - 2*m - 7975)*(-3 + 3 + 4*m) - 7*m - m**2 - m + 6*m.\nAnswer: 15*m**2 - 190*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n - 17. Let w be o(-6). What is the first derivative of w + g - 5 - 4 + g wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 4*t**2 - t + 5. Let o(z) = -2*z + 28. Let y be o(12). Determine d(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3435, 6915, 10417, 13947, 17511, 21115, 24765?\n\"Answer: r**3 + 5*r**2 + 3458*r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = 0. Let o be 1*(-2)\/(-2)*g. Which is smaller: o or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w - 6 = 0. Let a be (-108)\/16*16\/w. Solve 5*p = 4*b - a, 3*b = -2*b - 5*p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -15, -4, -25, 24 in descending order.\nAnswer: 24, 3, -1, -4, -15, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 23*y**3 - 208*y**2 + 5*y + 17. What is p(9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1836)*-2)\/(4*sqrt(12)\/sqrt(4)))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 235 = 2*q. Let x = q - -66. What is x rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 + 779 = b. Does 45 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 43*m**3 + 4 - 1 + 21*m**3 - 2*m**2 + 20*m**3 - 19*m to the form b*m**3 + q*m**2 + y*m + w and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/30 + 2\/3. What is the second biggest value in 1, -2\/3, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 150*b + 327*b - 17136 = 0 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 64, 141, 222, 307?\n\"Answer: 2*i**2 + 71*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of 61*v**4\/8 + v**3\/6 + v**2. Let y be -4 - (1\/(-2))\/(1\/12). Is q(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 - 216*r**3 - 212*r**2.\nAnswer: -4*r**2*(r + 1)*(r + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*f**4 - 133*f**4 + 35*f**4)*(3 - 2 + 0)*(f - f - 2*f).\nAnswer: 60*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1138*l**2 + 378*l**2 + 377*l**2 + 382*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x**2. Let i(m) = -5*m**2. Let b(y) = 3*g(y) - 4*i(y). Let s(r) = 16*r - 9*r - 6*r - 19*r. Calculate b(s(d)).\nAnswer: 648*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 15*i**2 + 23*i + 127. Give f(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -13*p**3 - 24*p**2 + 6*p + 4805. Let b(g) = 28*g**3 + 52*g**2 - 13*g - 9610. What is 6*b(m) + 13*c(m)?\nAnswer: -m**3 + 4805","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.516 + -3.555. Let f = z - 17. Round f to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 + z. Let j(x) = 11*x - 6*x**2 - 4*x - 2*x - 2*x. Determine -4*j(u) + 11*v(u).\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -1552\/11, 5, -4, -92, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1065803 and 332?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -27*i + 20. Determine f(-2).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 + 94. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -446.9 - -520. Let y = -73 + l. Which is the nearest to y? (a) 3 (b) -0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 8*o - 84 = 0, -4*o - 472 = s + 470 - 902 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -14 + 3 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*c = 690955 - 682905 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 490000 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-2*9\/(-12))\/(9\/12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32, 76, 148, 248, 376?\n\"Answer: 14*s**2 + 2*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292640 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/417, 5, 3\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(33))\/sqrt(3) + -1 + sqrt(99) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -896*h**2\/5 - 1782*h\/5 + 4 = 0.\nAnswer: -2, 5\/448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 939320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1, 1\/2, -5, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-1 + -1)*-23. Let i = -26 + j. 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: Calculate the smallest common multiple of 292702 and 46100565.\nAnswer: 92201130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16639?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8666 - 5667. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4893209 a multiple of 347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 29, -0.16, -1848?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d + 14. Let u(w) = 7*w + 13. What is 6*i(b) - 7*u(b)?\nAnswer: -7*b - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/232 and 13\/734512.\nAnswer: 734512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13882438*h + 1461825?\nAnswer: 13882438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from xsxxxxsxxs.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.056 + 0.0559863. What is u rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4686a (base 13) in base 6?\nAnswer: -2432334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 5055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*p + 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 6 = -f + w, 4*w = -2*f + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most as big as 10722278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-18)\/(-14) - (-467)\/7. Let k = 69 - p. Solve 4*g - 6 = -4*v + k*v, 3*g - 2*v = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 35*b - 26*b - 18 = 0. What is the highest common divisor of b and 15435?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 77 = -2*w. Calculate the highest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 182525\/5 - (324\/(-9))\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 - 0.2. Let v = -0.6 + h. Put -1\/5, 0.5, v in ascending order.\nAnswer: v, -1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-6)\/48*22\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1728 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-8 + 4 - -2) - 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7728 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 21 = o + 5*k, -2*k - 39 = -5*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -8, -18, 1\/2, 2\/3, 3 in decreasing order.\nAnswer: 3, 2\/3, 1\/2, -0.2, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 128 - 74 = 0. Let z be 79\/(-9) - (-4)\/o. Let r be 64\/(z\/((-84375)\/10)). Round r to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 243*w**2 - 560*w**2 + 6 + 289*w**2 as u + j*w**2 + l*w and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2 - 1*-1. Let s = -3653 + 3652. Let u be (-228)\/(-36) - (s\/(-3) + v). Solve -4*p + u = -2*p, -27 = 3*b - 4*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 127, -1, 1, 3 in increasing order.\nAnswer: -3, -1, 1, 3, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 15 = -5*m. Let f be m - (1 - (-1 + 2)). Let x(t) = 0 + f - 3 + t. What is x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 5*o**2 + 6*o - 1. Let u be i(6). Let w be 56\/(-12)*(-6)\/4. Suppose 10 = -2*s + w*s. What is the nearest to s in -0.3, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 813*m**3 - 783*m**3 - 1591*m**3.\nAnswer: -1561*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - (-20)\/(-2))*-573. Let k be -1 - (0 - (-41207)\/(-8)). Let y = o - k. What is the common denominator of 21\/4 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7*x**(7\/2)*x)**(5\/7) assuming x is positive.\nAnswer: x**(115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4130 (base 7) to base 13.\nAnswer: 86c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/23)\/4 + 8 + 17534\/(-2024)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -968*i**3 + 633*i - 633*i + 350*i**3.\nAnswer: -618*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8058384*c**3 + 4029686*c**3 + 4028697*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 times -25?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*r = 16, -3*r - 10 = 2*a + 2. Let y be (4 - (6 - 4)) + a. Solve -2*g - 16 = 3*t - y, 5*t + 2 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w**3 + 25*w**3 - 45*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*(a*a\/(a*a**7))\/a)*a*a)\/(a*a**(4\/3))*a*a*a**(2\/3)*a**(-8))**16 assuming a is positive.\nAnswer: a**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 16*s**3 + 3*s**2 - 2*s - 1. Let h be v(-3). Let x be h\/(0 - (-2)\/4500). Round x to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 8 + 4)*(-r - 4*r - 2 + r**2 + 6*r).\nAnswer: 3*r**2 + 3*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(t**3 + 5*t**3 + 4*t**3).\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (308 - 18*d + 12*d + 8*d)*(1 - 3 + 1).\nAnswer: -2*d - 308","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 6 - 4)*(-m**2 - 4*m**2 + 6*m**2) - 2208*m**2 - 2175*m**2 + 4457*m**2 + 4*m + 11 to y + p*m**2 + n*m and give p.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**5\/270 - z**4\/108 - 45*z**2. Solve f(r) = 0 for r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -4. Suppose 2*a - 156 = -a. Let o be (2 + a\/(-24))*4. What is the closest to o in -4, q, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1550*m - 73365. What is v(-47)?\nAnswer: -515","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2. Let t(b) = -4107068*b. What is f(t(v))?\nAnswer: -16868007556624*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 98357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**8)**3 assuming g is positive.\nAnswer: g**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quu when three letters picked without replacement from huzzhzzqzuszzuuuuqh.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k - 92. Let h(z) = 3*z - 31. Let p(f) = 11*h(f) - 4*w(f). Calculate the smallest common multiple of 14 and p(-19).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5750 and 3151.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 8:18 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*70623\/1121.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-800)\/(-70))\/(6\/7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-45)\/(-6)*(-42)\/63. Put -3, n, -10, 1 in decreasing order.\nAnswer: 1, -3, n, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 34627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 + 97*d - 12 - 10 to c + b*d and give b.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**0)**5)**(-8))**(-1\/3))**20 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 280\/25 + (-2)\/10. Let l(t) = t**2 + 0*t**2 - k*t**2. Let w(c) = -3*c. Determine l(w(s)).\nAnswer: -90*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + -4*(sqrt(70) + 2*sqrt(70)) - sqrt(70))\/(2*sqrt(10)*5) + 4.\nAnswer: -6*sqrt(7)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -51320 (base 7) in base 10?\nAnswer: -12509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 5. Suppose 0 = 5*z - 0*z - d*m - 295, 0 = -4*z - m + 216. List the prime factors of z*(-4)\/(-10)*1.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -13*x + 101. Calculate z(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2 + 6\/(-4). Let k be q\/2 - (0 + -1). Let n(y) = y + 14. Let g be n(k). Calculate the highest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 37*s - 48. Give h(24).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.23 and -336347.\nAnswer: 413706.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*sqrt(1900)*-5)**2.\nAnswer: -7125000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 346 a factor of 2348994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/5*(-90)\/(-27). Let m = t + 6. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1189 - -1380. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25302 + 54204?\nAnswer: 24502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 197672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5182 + -5177. Let a be 1\/(6\/4 - 1). Suppose -3*b = -6, -a*q + 3*q + x*b - 17 = 0. What is the highest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 12. Put -5\/3, z, 3\/4 in decreasing order.\nAnswer: 3\/4, -5\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 v, and 1 i when four letters picked without replacement from {v: 1, h: 4, m: 7, k: 3, i: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 132863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 5, 11, 19, 29?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 614 divided by 2056555?\nAnswer: 614\/2056555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n. Let r(x) = -9*x + 17*x + 2567 - 2495. Give v(r(m)).\nAnswer: -40*m - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.259 - -32860792\nAnswer: 32860792.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1532339268?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6025549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -10, 0 = -17*y + 15*y + 5*v - 10. Suppose 5*r = -p + 24 + 27, y = 4*p + 2*r - 114. Solve h = -2*u + 4*h + 22, 2*u - 4*h - p = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 53 = 3*s. Suppose 3*i - s = -5. Let a be i - 0 - 0\/10. Solve 3*f = -a*m + 2 + 2, -3*m - 5*f - 4 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Let i(j) = -3*j**3 - 2*j**2 - j. Let s(d) = d**3 + d**2 + d. Let u(k) = q*s(k) + i(k). Determine n so that u(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -8, -1, 8?\n\"Answer: x**2 + 2*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 - -2) - (-14 - -28).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13888.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -29*s - 130. Let t(m) = -10*m + 97. Let h be t(11). What is the least common multiple of 3 and r(h)?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-336))\/((-369)\/(-574))*(-32)\/(-7).\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -1398180\nAnswer: 419454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.44?\nAnswer: -0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 259 = 199 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + q = -129, 0*l = l - 2*q - 41. Suppose 2*u + 8 = 0, -2*h - h = -4*u - l. Solve j - 23 = -5*p, -h*p = -j - 0*j - 27 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.081835 rounded to three dps?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*o**3 + 826*o**2 - 1787*o - 206 wrt o.\nAnswer: -480*o + 1652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-10 + 6)\/(-2). Let s be 40\/25 - x - 6\/10. Solve 0 = s*t - l + 7, -2*t - 3*l = 3 + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 34623.\nAnswer: -1\/11541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 122, 246, 370, 494, 618, 742?\n\"Answer: 124*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 - 0.7. Let n = x + -2.2. Let f = -4259.03 - -4259. Put n, -5\/2, f in decreasing order.\nAnswer: f, n, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -84, -309, -668, -1149, -1740, -2429, -3204, -4053?\n\"Answer: 2*b**3 - 79*b**2 - 2*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, -0.05, -6, 0.5, -2, -1.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 5 = 3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + b + 3*b)*(-1652 + 1652 - 42*b)*(0 - 3 + 10 + 0 - 3 + 2 + (-4 + 2 + 3)*(2 - 3 + 0) + 1 + 5 - 5 - 2 + 0 + 0).\nAnswer: -168*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 32, -74.2, -0.0406, -0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyy. Give prob of sequence nyy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1216 + 24?\nAnswer: -1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.853629 microseconds in days?\nAnswer: 0.0000000019196021875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 2*o**2 + 2*o. Let x be j(2). Let l = 3\/1426 - -39793\/64170. Let n = 2\/45 + l. Which is the closest to -0.1? (a) n (b) -6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 2. Let o(c) = 2*c - 5. Let f(j) = -9*g(j) - 4*o(j). Give f(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*n = 565*n + 5*v - 25, -2*v - 2 = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1672*g - 293*g - 1379 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -343134211 - 10?\nAnswer: -343134221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 808033997 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(17) + (sqrt(51) - sqrt(255)\/sqrt(5))\/sqrt(3).\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 183*o + 150*o - 341*o + 10*o**2.\nAnswer: -o**3 + 10*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -39304\/9*n**3 - 2*n**2 + 6*n - 17\/15*n**5 + 289\/3*n**4 + 0 + 1\/180*n**6. Find y, given that i(y) = 0.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 274809.\nAnswer: 1\/91603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -60, -236, -528, -936, -1460, -2100, -2856?\n\"Answer: -58*h**2 - 2*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 3*f - 12 = 2*a, 4*f = -16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*x - o, 10 = 2*x - 4*o - 0. Let u = x + -2. Let f(b) = -b**3 - 6*b**2 - 8*b - 3. Does 12 divide f(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + w + 4)*(-31*w + 32*w + 2*w**2 + 3 + 0*w**2).\nAnswer: 2*w**3 + w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7)*-2)**2*6.\nAnswer: -840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -121 + 128. Let k = 91.9 - 95.9. Sort l, 4, k in decreasing order.\nAnswer: l, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -2*c**5\/15 - c**4\/3 - 2*c**3\/9 - 526. Solve q(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 2)*6)**2.\nAnswer: 1440*sqrt(2) + 7344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86177 a multiple of 650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 693257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3347031 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -60694a (base 12) in base 11?\nAnswer: -938572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/4)*z**3*z*z\/(z*z*(z**(-6)*z)\/z)*z*(z*z**(-1\/11)*z*z)\/z assuming z is positive.\nAnswer: z**(491\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*k + 1 = 0, -3*k - 59 + 52 = -2*u. Let t(v) = -3*v + 2. Let i(w) = 39*w - 27. Let a = -18 + 45. What is a*t(b) + u*i(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 642.279 to the nearest 10.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 79998 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1, 5, -26, -10, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 822591?\nAnswer: -822587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461748 divided by -5019.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m = -4*x - 61, 90 = -5*x - 4*m. Let s(z) = z**3 + 14*z**2 - 2*z - 10. Let b be s(x). Suppose -l + b = -0*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-2))\/(-2))\/((-141)\/2635008*73)\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okkqqkkokqqxkkkq. What is prob of sequence oqo?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128563 is divided by 4414?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1585300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -34, 1423, 3852, 7253?\n\"Answer: 486*j**2 - j - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 5, -4*s + 12 = -24*v + 26*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495) - (-2*sqrt(495) - sqrt(495))) + sqrt(495))\/(sqrt(25)\/(sqrt(5) - sqrt(80)))*3.\nAnswer: -135*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/10 or -0.2?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*k - 4*f, -5*k - 12 = -k - f. Let v(c) = -c**3 - 2*c**2 - 3. What is v(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 3169432.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2761701246 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - (-731)\/51)\/((-6)\/(-27))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*1722\/(-451) + -14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 - 0.15. Let p = 0.8 - j. Which is the nearest to p? (a) -3 (b) -0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p. Let w = 5 + -3. Let f(a) = 5*a - w*a + 4*a - 4*a. Determine i(f(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-2 + sqrt(720))*5 + 1 + (sqrt(720)*1 - sqrt(720)) + sqrt(720))*1 + -1)*3)**2 + 2.\nAnswer: -12960*sqrt(5) + 234182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 17 + (-4 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a87 + 456?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506653254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 153 = -7*b. Let o be b\/6*(-2)\/1. Calculate the greatest common divisor of 51 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 541*d - 447 - 105 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(27\/4)\/f)**14)**(-7) assuming f is positive.\nAnswer: f**(-1127\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(540\/(-8)))\/(10\/(-15)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 3496831.\nAnswer: 2\/3496831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tccdkbabk. Give prob of picking 1 k and 1 t.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 10:25 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12848 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**5\/130 + f**4\/13 - 9*f**3\/13 - 553*f. Solve z(u) = 0 for u.\nAnswer: -9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f + 30*f + 585 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 4*c**2 + 2*c + 37. Let u be t(-5). Solve -o + 12 = -0*o + 4*b, -5*o - u*b = 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39143 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - m**2 - m + 3. Let k be q(0). Which is smaller: 27\/8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, -69, -268, -667, -1332, -2329?\n\"Answer: -11*x**3 - x**2 + 15*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19224 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 193 divided by -14\nAnswer: -193\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17199 is divided by 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -4, 0 = 3*b - 4*c + 15639 - 15628 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -354*k**3 + k - 42 + 684*k**3 - 328*k**3 - 4*k**4 in the form d*k**2 + h*k + f + v*k**4 + i*k**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -1. Let a(s) = -24*s**2 + s - 2. Let f(k) = -a(k) + 3*l(k). Let d be f(2). Let v = 168 - d. What is the greatest common factor of 30 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 494*r**2 + 663*r - 166.\nAnswer: -(r - 1)*(r + 166)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5595007 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6660616648 rounded to the nearest 1000000?\nAnswer: -6661000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 97150543 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 65 - (-40 + 59 + 7)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Let p(l) = 205*l**2 + 20*l - 244. Let y(j) = -204*j**2 - 25*j + 243. Let f(u) = -5*p(u) - 4*y(u). What is the first derivative of f(r) wrt r?\nAnswer: -418*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 10*b - 7*b + 1 + 2*b - 1 + (4 - 2 + 0)*(3*b - 4*b + 3*b) + b + b + 0*b + b + 2 - 2 - 2*b + 5*b - b)*(4*b - 19*b + 5*b)*(-3 + 3 + 1).\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-10) - (-2870)\/25. Suppose 15*h + 170 + q = 0. Which is bigger: h or -37\/2?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -3.2 (c) -1541\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 108 = o. Let j = o - -61. Suppose -k - 190 = -5*f, -2*k + 11 - j = -f. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4422913*f**5 + 757661*f**2 + 66.\nAnswer: 265374780*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -261*l**2 + 267*l - 6 = 0.\nAnswer: 2\/87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = 28*v + 7*v + 27 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -n + c, 4*n = 5*c - 6 - 2. Let i = n + 15. Calculate the highest common factor of i and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)*s**(-3\/5)*s*s\/(s\/(s**(1\/2)*s))*s**7*((s**(-1\/4)*s*s)\/s*s)**(14\/5)\/((s\/(s*s**(-8\/7)*s))\/(s\/((s*s*s**6*s)\/s))) assuming s is positive.\nAnswer: s**(128\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 8031096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 910058 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5995853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 266, 528, 790?\n\"Answer: 262*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, 3, 4 in descending order.\nAnswer: 4, 3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from qppqqppqqpqqqpqqqqq.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16535561 and 168.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/900 + (-9)\/30.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20345 < 20346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -3.9. Let s = -11 - -15. Let w = s - g. Put w, -1\/4, -0.5 in decreasing order.\nAnswer: w, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1362.313 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(8\/(-4)*(-8)\/(-4)). Which is the biggest value? (a) 3 (b) -0.13 (c) 0.2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 338 + -333. Let a = -189 + 192. Suppose 0*y - 3*y = -60. Solve -5*u - 6 = -4*j - y, b*u = -a*j + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0 (b) -17\/3 (c) -1\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7791 + 7876.248. Let p = x + -86. What is p rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 51 + (130 - 142)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**3\/3 - 41. Let s(i) = -7*i - 3. Let b(d) = -8*d - 2. Let r(z) = -3*b(z) + 2*s(z). Calculate r(g(l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 3*d**2 - 2. Let m be a(-2). Let u(f) = 13*f + 8*f - 20*f + m. Let v(o) = o + 1 - 4 + 3 + 2. Calculate -4*u(q) + 5*v(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 4*s + 40, 2*t - 64352*s + 64357*s + 45 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 + 2*j**5 - 4*j**5 + (4*j**2 - j**2 + 2*j**2)*(-2*j**3 + 3*j**3 - 8*j**3).\nAnswer: -38*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 - -3) + 0 - 4) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**3 + 1111*a**2?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 13*q. Let s(v) = 87*v**2 + 33*v + 3. Let h(y) = 2*y**2 - 11*y - 1. Let i(t) = 6*h(t) + 2*s(t). Determine f(i(n)).\nAnswer: 2418*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - 340\/(-34) - 12\/(2 + 1). Solve -11*w + 10*w - 4 = g, 0 = t + 5*w + 23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -433*n + 143*n + 145*n + 147*n - 187 as f + a*n and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 4*c + 9*l - 14*l, 44 = 4*c + 2*l. Solve 5*j - 16 = -4*q, -10*q + c*q - 4 = -2*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + f + 1. Let r be 46\/(-16) - ((-3)\/(-24) + 0). Let z(x) = -3*x**2 - 2*x - 2. Determine r*z(s) - 8*i(s).\nAnswer: s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-20))\/(3 + 29\/(-10)). Suppose x*s - 16 = 2*s. Solve s*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 20 - 66 = 0. Let h = -10 - x. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-1))\/(3\/2). Let b(s) = 2*s**3 - 3*s**2 + 10. Let k(c) = 5*c**3 - 9*c**2 + c + 30. Let j(y) = -8*b(y) + 3*k(y). What are the prime factors of j(r)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**3 + 136*n**2 - 54323*n + 25410237?\nAnswer: -3*n**2 + 272*n - 54323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1775073 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.2, -1.15, 2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 19831*j**2 - 98327055*j + 98307225.\nAnswer: -(j - 9915)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25.7 - -24. Let x = -1.4 - n. Round x to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 3*v - 7. Let r be a(5). Let k(g) = 2*g**2 - g + 4. Does 6 divide k(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371277162769713 + -0.5.\nAnswer: -371277162769713.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f**2 - 4*f + 5. Let i(r) = -21*r**2 + 9*r - 11. Let y(n) = 116*n + 1031. Let p be y(-9). Give p*h(k) - 6*i(k).\nAnswer: -4*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-6)\/(-81)*-18. What is the smallest value in j, -0.01, 2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 2*w - 2. Suppose 2*z + 6 = -z. Let l be 4 + 7 + (z - 1). Suppose -3*i - 2*a = -l, -11 = -5*i - 4*a + 3*a. Give g(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2218945070.\nAnswer: 2, 5, 221894507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 12:59 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n + 3. Let d(c) = -40*c - 159 + 63 + 55 + 57. What is 3*d(g) - 16*z(g)?\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.835 + 0.035. Let p = w + 5. What is the smallest value in p, 5, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q - 3. Let o be n(3). Let h = o - 4. Let a = 791 + -788. Solve a*m - 7*z + 16 = -3*z, -8 = -h*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5196, -10026, -14486, -18576, -22296?\nAnswer: -25646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.085 + -126.915. Let l = -126.9999982 - m. Round l to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29607115?\nAnswer: 5, 17, 29, 12011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -169\nAnswer: 1\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-4))\/(2\/(-84)). Suppose -2*r = -s - 13. Solve 5*q + 13 = r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**2 - 220*q. Let z(x) = x + x - 2*x + 3*x - x. Determine z(r(c)).\nAnswer: 8*c**2 - 440*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*4\/3*9\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 3631572.\nAnswer: 3631572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 7*k - 8. What is m(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(475) - sqrt(19))**2 + 5 - sqrt(152)\/(sqrt(8) + -2*sqrt(8))) - ((sqrt(475) + 1 - (sqrt(57)\/sqrt(3) + -3)) + 5).\nAnswer: -627 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2254665 and 394?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3452*d**2 + 1809*d**2 - 7069*d**2 + 1810*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -23*c + 2. Let i be u(-2). Suppose 0*z = -4*z + i. Solve 5*w = -2*p + 15, 0 = 2*w + w - 3*p + z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2)*5)\/(sqrt(6) - -1*sqrt(24)\/sqrt(4)) + (sqrt(50)\/(sqrt(10)\/sqrt(2)) - sqrt(10))\/(sqrt(125)*2 - sqrt(125)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16 and -5092716856507?\nAnswer: 5092716856491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227039161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, u: 2, n: 2, c: 1, p: 9}. Give prob of sequence uup.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 0.4, 0.13, 51, 5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 3*h = -2, 3*h + 409 - 412 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-15\/4))**(-1\/28)\/(m**(-20)*m**(-1\/13)) assuming m is positive.\nAnswer: m**(28985\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 12 + 4. Let w(x) = x**3 + 12*x**2 + 17*x - 26. Let t be w(-10). Let h(k) = -5*k - 4. Let z be h(-4). Solve t*i - z = q*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178494473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 904 + -421. Calculate the greatest common divisor of h and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40717 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*n + 3*k, 0 = -6*k - 23 - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -102 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 317006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -25. Suppose 5*j + 502 = 5*c + 62, 2*c = -5*j + 148. Let h = -32 + c. Calculate the remainder when h is divided by q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 + 13*s**2 - 20*s + 24. Let v be h(5). Is -0.035 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.177 and 147.\nAnswer: 147.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1176.3 + -1177. Suppose 3*i - 4*i - 1 = 0. Sort i, 2, y in ascending order.\nAnswer: i, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = v - 604. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 17642600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 10*r - 5. Suppose 0 = 52*q + 150 + 241 - 131. What is g(q)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1106, 2209, 3312, 4415?\n\"Answer: 1103*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2858*c**3 + 931*c**3 + 926*c**3 + 1000*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*b**2 - 2 - 15*b**2 + 2 to the form l + u*b + r*b**2 and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 greater than -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-8)*(-450240 + (15 - 13)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 116*u**2 - 1408*u - 1520.\nAnswer: 4*(u - 10)*(u + 1)*(u + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 0, 3, -2, 925 in decreasing order.\nAnswer: 925, 3, 2, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v**(-12))*v**(-17)*v*v*v**(-18)*(v*v**(3\/5)\/v)\/v assuming v is positive.\nAnswer: v**(-107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 a when three letters picked without replacement from {u: 2, s: 6, x: 3, a: 2, t: 2}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 18*p**2 + 22*p - 23. Let l be w(-15). Suppose 0*v = -2*v - 2*s + 318, 2*v - l = -4*s. Calculate the remainder when v is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(h + 0 + 0 + (-2 + 5 + 0)*(-3 + 3 - 2*h))*(2 + 17 - 60).\nAnswer: 410*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5*f - 8 = 0. Suppose -f*p - 77 = -3*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*z + 0*z = 369, 3*z = 5*k - 1852. Calculate the greatest common factor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = 6*d. Let i be (d + -6)*-2 - -2. Suppose l + i = 5*l. What is l rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -10*b + 28. Give s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2489*p - 2484*p = -5, -4*p - 84 = -10*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 9, -68 in ascending order.\nAnswer: -68, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 2*b - 3*s - 11, 4*b - 21 = 5*s. Suppose -r + 16 = b*m - 3, 5*m + 20 = 5*r. Solve 2*j + v + 3 = 5, 0 = -3*j - 4*v - r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j + 200 = 24*j. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 7*w + 7. Let q(b) = -b**2 + 4*b - 1. Let m be q(5). Let j be x(m). Solve k + j - 2 = 0, -4*v + 3*k - 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 - 144. Let k = t + 56.12. Which is the fourth smallest value? (a) k (b) -1 (c) -4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -9*m**5 - 2*m**4 + 7*m**3 - 6. Let s(r) = 17*r**5 + 4*r**4 - 13*r**3 + 10. Let t(b) = 5*h(b) + 3*s(b). Factor t(i).\nAnswer: 2*i**3*(i + 1)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6752 and 30384?\nAnswer: 60768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 3. Let t(l) = l - 7 + 3*l - f*l. Let z be t(-7). What is the highest common factor of 21 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f - 6. Let m be 1*((-390)\/(-546) + (-4)\/(-14)). Give n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40867\/18 + 2264. What is the common denominator of v and 125\/126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 1:20 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (1 - 0) - 13) + 11 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*z - 2*d = -126*z + 18, 2*d + 18 = -2*z. What is the closest to -19 in 2, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -36*m**2 - 851*m + 246. Determine o(-23).\nAnswer: 775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5\/9 - 13*t**4\/9 + 38*t**3\/9 + 76*t**2\/9 - 88*t\/3 - 32 = 0. What is t?\nAnswer: -2, -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22d8 + 0?\nAnswer: 22d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549*x - 2720 + 553*x + 2720.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7549 (base 15) to base 3.\nAnswer: -1021001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 263 - 268. Suppose 3*o = -m, 4*o = -3*m - o + 4. Let a(k) = -4*k + m*k + 0*k. What is a(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/3 - (-4)\/5. Let y = 702\/7 + -100. Which is the closest to v? (a) 2 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13018, -26028, -39036, -52042, -65046, -78048?\n\"Answer: f**2 - 13013*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n*n\/(n*n**(1\/4)\/n))))**31\/(n**(-13)\/n*n**(-8)) assuming n is positive.\nAnswer: n**(181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4139, 8322, 12535, 16778, 21051, 25354, 29687?\nAnswer: 34050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, 14, 104, 258, 482, 782, 1164?\n\"Answer: v**3 + 23*v**2 - 44*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 6*t**2 - 6*t - 2. Let g be j(-5). Let s(q) = 32*q - 3. Is s(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**4\/4 - y**2\/2 + 2*y - 6. Let o be k(0). Let f(m) = 118*m**2 - 3*m + 3. Is f(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 297 + -113. Suppose w = -8*l + 200. Solve -l = 5*h - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -4.032. Let b = 0.1 - z. Round b to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -5007*x**5\/5 - x**4\/4 + 6214*x**3\/3 - 7038. Find the third derivative of p(f) wrt f.\nAnswer: -120168*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 + 4 + -11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, z: 1, t: 1, w: 2}. Give prob of picking 1 z and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5dbe (base 15) to base 6\nAnswer: 232255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3305, -5297, -7291, -9287, -11285, -13285?\n\"Answer: -r**2 - 1989*r - 1315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 4. Let l = 5 + h. Solve l*f + 0 = -8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*a - 29*a + 56*a)*((-1 + 0 + 0)*(-a + 2 - 2) - 2*a + 0*a + 0*a + 2*a - 2*a + 2*a).\nAnswer: -11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*j - 84*j**2 + j**3 + 84*j**2 - 3*j**3 - 1.\nAnswer: -2*j**3 + 59*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1173*n - 1. Let v(w) = 10*w**2. Give v(l(b)).\nAnswer: 13759290*b**2 - 23460*b + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzqzqiiizzziz. Give prob of picking 1 q, 2 i, and 1 z.\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - 3a05?\nAnswer: -39a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.03 - 6.33. What is the nearest to d in -0.1, -21, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r - 6*r)*(27 - 4 + 85)*(6 - 8*r - 6).\nAnswer: 3456*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 0 - 4)*(3*k - 2*k + k) - 3*k + 2*k + 7*k - k - 4*k + 4*k)*(-1 + 0 - 1) to the form u + c*k and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 106976.4 and 0.5?\nAnswer: 53488.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 12. Calculate the remainder when 91 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7082*g + 129253 - 129253 - 6326*g.\nAnswer: -13408*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 31360. Let v(m) = 2*m**2 - 2*m. Calculate y(v(x)).\nAnswer: -6*x**2 + 6*x - 31360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-105) - (-159)\/(-315)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i + 4. Let d be n(4). Let j be (d\/6)\/(2\/6). Suppose 0 = -3*f - 20 + 95. Solve -f = v + 3*v - p, -v - 5*p + j = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 7, 2\/103, -2\/21, 0.4 in ascending order.\nAnswer: -2\/21, 2\/103, 0.3, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 83\/4 - (-6767)\/27068?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165777538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*k**4 + 58*k**4 + 6 + 58 - 1 wrt k.\nAnswer: 340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**3 + 6*r**2 + 5*r + 11. Calculate the remainder when l(-5) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6502 + 325223\/50. Find the common denominator of -64\/45 and n.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, m: 2, e: 1, x: 1, o: 5}. What is prob of sequence mv?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 15) to base 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14094)\/(-13) + 6 + 8\/(-52) is divided by 122.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**2 + 14216120*w - 12631129240900 = 0.\nAnswer: 1777015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) -4 (c) 186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 785691 divided by -9?\nAnswer: -87299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 103613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 116*p**2 + 786*p - 2504. Calculate c(109).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2570121 - -0.257. What is j rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m - 229. Let y be f(-33). Suppose 0 = -5*s - 5*u + 9 - 19, 0 = 4*s + y*u. Find b such that 25\/3*b**s - 10\/3*b + 1\/3 = 0.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**6\/165 + j**5\/110 + j**4\/66 - j**3\/33 - 22*j + 174. Let n(p) be the first derivative of v(p). Factor n(t).\nAnswer: -2*t*(t - 1)**2*(t + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5 = d, -2*d = 3*d - 5*l + 85. Let p(f) be the first derivative of -f**2\/2 - 11*f - 18. What are the prime factors of p(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.056?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -69094\nAnswer: -13818.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3 + 57*f**2 - 108*f + 1.\nAnswer: 6*f + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (2 - 1 - -1). Let y(k) = 10*k**2 + 6*k + 7. Let o(u) = -9*u**2 - 5*u - 6. Let t = -7 + 1. Let v(g) = t*o(g) - 5*y(g). What is v(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/28 and 89\/6256892.\nAnswer: 43798244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2483*k + 357*k - 2843*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**3 - 1032*g**2 + 269325*g - 1579014 = 0?\nAnswer: 6, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -902 = 6*l - 4*l. Let j = l - -1243. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cggzggszcggczgcgzgs. What is prob of picking 3 c and 1 g?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (23 + -20) - (-53 + 64)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 + 0*k**4 - 3*k**4)*(-3 + 5*k + 3) - 6*k**5 - k**5 + 3*k**5.\nAnswer: -19*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7632399 + -0.14033?\nAnswer: -7632399.14033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 21. Put 9, -3, q in ascending order.\nAnswer: -3, q, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 7*u**5\/10 + 8*u**3\/3 - u. Find the second derivative of m(w) wrt w.\nAnswer: 84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*s**3 + 253*s**3 - 127*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z*z*z**(-4\/13))\/(z**(-7)\/z*z)**(3\/4) assuming z is positive.\nAnswer: z**(673\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 113102 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -3 - 6\/5*m**2 + 1\/25*m**5 - 3\/10*m**4 + 13\/15*m**3 + 4\/5*m. Factor d(o).\nAnswer: (o - 2)**2*(o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34757229.\nAnswer: 3, 13, 409, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(7) + 3 + 5)**2.\nAnswer: -215 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + (-2 + 2 + (sqrt(75) - (sqrt(75) - (2 + sqrt(75) + -1))) + sqrt(75))**2.\nAnswer: 20*sqrt(3) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2 + (5 - 3 + 0)*(-3 + 2 + 0))*(-14*q + 53*q + 102*q) + (-q + 3*q - 3*q)*(0 - 3 + 1).\nAnswer: -703*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j + 28. Let o(v) = 2*v**2. Calculate o(g(t)).\nAnswer: 32*t**2 + 448*t + 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, g: 3, f: 5, t: 1, q: 3, j: 6}. What is prob of sequence lgft?\nAnswer: 5\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 173063409*g - 1. Let q(w) = w. Give q(p(x)).\nAnswer: 173063409*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -62*m**2 + 11*m. Let t(r) = -2*r. Calculate o(t(s)).\nAnswer: -248*s**2 - 22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -687 + 220. Let w = r - -1059. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - u + 47. Is q(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3749912\/275 + -13636. Find the common denominator of 91\/594 and q.\nAnswer: 14850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38\/9 in -5, 4\/5, 4.6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -c**3\/3 - 27*c**2 - 676*c - 12329. Calculate v(-34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*i + 5*i - 9*i + (-3*i - i + 3*i)*(1 + 1 - 4))*(4 - 6 - 5) in the form n + l*i and give l.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.513ms in hours?\nAnswer: 0.0000601425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 637 - -472. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3330 (base 5) to base 12\nAnswer: -329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**5\/4 + 6*m**4 - 3*m**3 - 87*m**2\/2 + 15*m\/4 + 75\/2 = 0.\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -4, 1, 9156, -1, 4 in increasing order.\nAnswer: -34, -4, -1, 1, 4, 9156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 d when three letters picked without replacement from {m: 1, q: 1, d: 2, l: 1, h: 2, j: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/513 at most 3287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 281989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3608 - 4795 = -115*y - 25*y - 703 for y.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 7) to base 16\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -534 - -2672\/5. What is the fourth smallest value in 3, t, -4\/17, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*h - 20. What is the greatest common divisor of h and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 4*y + d - 37, 4*y - 2*d = 2. Suppose -y*v = 2*v - 180. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235176 by 2868.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17980\/(-3627) - -6 - (-20)\/(-130).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 18743*y - 18742*y - 8, 0 = -4*l - 3*y - 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 14*w**2 + 24*w + 6. Let f be n(12). Let t(m) = -4 + f + 3*m - 17. Let y be t(5). Is 1\/2 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**4\/2 - 5*b**3\/3 + 2*b**2 + 3*b + 24. Suppose q(v) = 0. What is v?\nAnswer: -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 193*n - 1558. Let g be z(-104). Factor -72\/13 - 2\/13*l**g + 24\/13*l.\nAnswer: -2*(l - 6)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**6\/120 - u**5\/10 - u**4\/4 - u**3\/3 + u**2. Let k be m(7). Suppose k*o = -15 - 10. Put o, 2, -3 in decreasing order.\nAnswer: 2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*j**2 + 198*j + 100*j + 11*j**2)*(3*j + 23 - 23) in the form h*j**2 + x*j + o + t*j**3 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.2, 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5343953 decades to years.\nAnswer: 5.343953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.732462 hours to seconds.\nAnswer: 6236.8632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**2*s**2 - 2217*i**2*s + 244*i**2 + 1384950*i*s**2 - 3*i*s wrt s?\nAnswer: -8*i**2 + 2769900*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 2:15 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + l - 49*l**2 + 0*l.\nAnswer: -49*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 5*i + 48, 671 = 10*z + 6*i + 603 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 9*r**2 - 13*r. Let i be -1*-3*(-1)\/3. Let n = i + -5. Let a(h) = -4*h**2 + 6*h. Let q(o) = n*c(o) - 13*a(o). Let g(x) = -2*x**2. What is q(g(l))?\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - h - 5*t - 85, 0 = 5*h + 4*t - 229. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4015 and 11055.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13 + 0.03. Let i = v - -3.1. Are -1 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 + 0.58. Let a = b + -1.9. Let c = a + 2.6. Round c to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1522 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217.22964 nanoseconds to minutes.\nAnswer: 0.000000003620494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + 3. Let n = m - 23. Let b = 81 + -82. Sort b, 4, n.\nAnswer: n, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6557, -32641, -76113, -136973, -215221, -310857, -423881?\n\"Answer: -8694*v**2 - 2*v + 2139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 70 = -i, 901*i + 66 = -3*s + 6*s + 1793*i - 889*i for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 equal to 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*u + 98, -196 = -4*u + 2*j + 2*j. What is the remainder when u is divided by (-26 + 9)*(-1)\/1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 9:21 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. Suppose -4*j - 2 = -c - 1, -4*j = -3*c + k. Suppose -s + 8*p = 4*p - 21, j = 5*s + 2*p - 39. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/28)\/((-78)\/(-3822))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**5 + 4*i**5 + i**5 + 32*i**5 + 43*i**5 - 62*i**5 + (-3*i + 3*i + 2*i**5)*(3 - 2 + 0) + 3*i**5 - 3*i**5 - i**5)*(-2 - 1 - 1).\nAnswer: -52*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1505252 and -15\/8.\nAnswer: 3010504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*z - t, 0 = 3*z - 5*t - 13 + 28. Let o(y) be the first derivative of -y**4\/4 + y**3\/3 - y**2 + 5*y - 4. Give o(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*i + 139412 + 131878, -813945 = 3*h + 3*i. What is h rounded to the nearest 1000?\nAnswer: -271000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 50 + (-51 - -12)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 62.3078?\nAnswer: 62.3078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 + 2*k. What is the remainder when o(-5) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = d - 394, 0*d + 3*b - 376 = -d. Is 35 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 + 376416532 - 188208269 - 188208263.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*b*r**3*v**3 + 11*b*r**3*v - 10*b*r*v**3 - 3*r**2*v**3 + 2*r**2*v + 2*r**2 wrt r.\nAnswer: 90*b*v**3 + 66*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 22*v - 26 = -19*v, -2*i + 20 = -5*v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 2*n = -19*d + 14, d - n = 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**(3\/8)*m*m)))\/(m*m\/m**(3\/16)*m*m)*m**(12\/7)\/m**(3\/13) assuming m is positive.\nAnswer: m**(67\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 4*b**2 + 2*b - 3. Let c be s(5). Calculate the greatest common factor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65\/1516 or 1?\nAnswer: 65\/1516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5917835935 to the nearest integer?\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 5*p - 3*p. Suppose -227*w = -244*w - 255. Let q = p + w. What is the greatest common factor of q and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.5. Let d = -71.54 - -0.54. Let s = 72 + d. What is the closest to 0 in p, -3, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/51642 and -127\/798.\nAnswer: 361494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/472 and 41\/12354.\nAnswer: 2915544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/380 and -119\/579380?\nAnswer: 11008220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(0 + -6) - -53. Suppose -4*b = -2*b - l. Let p = 17 + -6. Calculate the lowest common multiple of p and b.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(1\/2)*v*v)\/(v*v*v**7)*(v**(-2\/3))**(-34) assuming v is positive.\nAnswer: v**(103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4655477234 a multiple of 934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160721, 160710, 160689, 160658, 160617, 160566?\nAnswer: 160505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101634608?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2609 + 2614. Let u = 0 + 0.1. What is the closest to u in 4, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r**0)\/(r**(-8)\/r**(-18)) assuming r is positive.\nAnswer: r**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 + 191052041785.\nAnswer: 191052041806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-53704)\/(-1372))\/137)\/((-1)\/(7\/10))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 6*v + 2*v**3 - v**3 + 14 + 9 + v**2 + 15*v as q*v**3 + j + g*v**2 + f*v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 5. Let q(x) = x + 14. Let u be q(-10). Suppose -15 = 3*g, u*m = 4*g + 26 + 2. Let h(z) = -2*z + 2*z + z - m. Calculate 5*h(o) + 2*j(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9428 - 86128\/9. Is -142 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + 20.91. Let n = -21.73 - -7.93. Let r = g + n. What is r rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lccfqlcflft. What is prob of sequence qfff?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*(0 + 0). Let m(r) be the third derivative of r**4\/24 + 3*r**2. Let a be m(2). Solve p*n - n = a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -21*o**2. Let p(z) = -7*z**2 - 328*z - 1167. Calculate p(y(q)).\nAnswer: -3087*q**4 + 6888*q**2 - 1167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. Suppose p*z - 10 - 54 = 0. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52091410.28 rounded to the nearest ten thousand?\nAnswer: 52090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 633 (c) -5 (d) 4 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12222110012 (base 3) to base 14.\nAnswer: 30c70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17339889, 17339894, 17339899?\n\"Answer: 5*f + 17339884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 822 divide 167717145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12275, -98261, -331639, -786101, -1535339, -2653045, -4212911, -6288629?\n\"Answer: -12282*v**3 - 4*v**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4704?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 12*s - s**2 - 8*s + 6. Let b(w) = w**2 - 4. Let k be b(3). Calculate u(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**3*t + 164127*s**2*t**2 - s*t - 4*t**2 - 1168715*t - 4 wrt s.\nAnswer: -3*s**2*t + 328254*s*t**2 - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g**2. Let n = -5 - -3. Let q(w) = w**2 + 2. Let v(j) = 15*j**2 + 33. Let d(r) = n*v(r) + 33*q(r). Give d(c(k)).\nAnswer: 363*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34732\/86855 - 2\/17371. What is the nearest to 3.61 in 1\/7, -2, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 5)*(1 + 2 - 5*i + 10*i).\nAnswer: 5*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*q - 5*j, -q + 4 = -53*j + 55*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 0*l + 4*l + 5, -4*l = n + 23. Let m(z) = z - 3. Determine m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848607.2t in nanograms?\nAnswer: 848607200000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 68 - 65 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q**2 + 18662*q + 55995. What is p(-3)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -196 at least -195?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**2 - 1 + 1)*(-224 - 306 + 918)*(-14 + 0 - 2 + 1) as a*k + t + y*k**2 and give y.\nAnswer: 11640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 141 (c) 3096\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 - -49. Suppose -4*s + 0*s + b = 0. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1975 + 31?\nAnswer: 19a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464597106.\nAnswer: 2, 3, 61, 1269391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.5 + -8.5. What is the second biggest value in j, 0.2, 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**3\/2 + 64*s. Let j(r) = r - 92. Determine o(j(i)).\nAnswer: 3*i - 276","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4)*112\/70.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/10)\/((b*b**(1\/6))\/b))\/(((b\/((b*b**(-2\/3))\/b))\/b)\/(b\/(b*(b*b**3)\/b)*b)) assuming b is positive.\nAnswer: b**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + h**2 + 4*h**2)*(23 + 35*h**2 - 23) - 2*h**4 + 2*h**4 - 3*h**4 + (1 - 1 - h**3)*(2*h - 5 + 5).\nAnswer: 100*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**4\/3 - 172*i**3\/3 + 336*i**2 - 2000*i\/3 + 1328\/3 = 0?\nAnswer: 2, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*p**2\/4 + 5*p + 1\/4.\nAnswer: (p + 1)*(19*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2378, 2458, 2590, 2774?\nAnswer: 3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 30.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3855)\/1028*16\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74927?\nAnswer: 31, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 5, s: 1, k: 1, x: 3, p: 3}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*t + 3*r, t + 2*t + 4*r - 14 = 0. Let b = -63\/10 - -52\/15. Calculate the common denominator of b and (-159)\/6*t\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in seconds?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30102 by -87.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*d - 18 = 0, 3*d - 18 = -h - 2*d. Let r(t) = -t**2 + 12*t - 9. Give r(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*n + 105274 = -214336. Is n less than -2065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 20*g - 23 = 9*g + 7*g, -3*f - 4*g + 17 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 5*j - 10, -2*v + v - 5*j - 20 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -10\/23, 19\/7, 32 in descending order.\nAnswer: 32, 19\/7, 1, -10\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -367950.\nAnswer: -367949.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11562775 - 14?\nAnswer: -11562800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058 > 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**3 + 7*o**2 - 25*o + 55. Give d(3).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 8. Let d(x) = -x - 7. Suppose -5*w = -4*w + 4. Let h be d(w). Sort n, -9, h in ascending order.\nAnswer: -9, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 3*v**4\/8 - v**3\/6 + 5*v**2\/2 + 7*v. Let h(y) be the first derivative of q(y). Calculate h(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (1 - (22 - (10 - 15)))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2)*w\/(w*(w*(w*w\/((w\/(w\/(w\/(w**4*w)))*w)\/w)*w)\/w)\/w))\/(w*w**(-2)*w)**(-4\/37) assuming w is positive.\nAnswer: w**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 5 = 5. Let m(j) = j**2 - 13*j - 272. Let n be m(y). Round n to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -8\/3 (c) 0.2 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*z = -236*z. Let n = -13 - -5. Let w = -6 - n. Which is the second smallest value? (a) w (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-1 + sqrt(3645) + 1 - sqrt(3645)) + sqrt(3645) + (sqrt(3645) + -1 + sqrt(3645) - sqrt(3645)) + -3)**2.\nAnswer: -2592*sqrt(5) + 87576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s**3 + 24*s**3 + 59*s**3 - 2*s - 22*s**3.\nAnswer: 87*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -407, -556, -699?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 - 46. Suppose 11 + 4 = 5*z + 5*v, -z = -5*v - x. Let q(g) = 0*g + 104 + g - 110. Calculate q(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(((z\/z**(-1))\/z)\/z))\/z**(16\/3)*(z\/z**(-19\/5))**(-19\/5))**(8\/5) assuming z is positive.\nAnswer: z**(-12944\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((t - 3*t + t)*(-2 + 2 + 2) - 23*t + 29 + 32*t - 40 + (-1 + 1 + 1)*(-5*t + 5*t - t))*(0*t**2 - 5*t**2 + 2*t**2) as k*t**2 + w*t**3 + q*t + x and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 60\/67?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25360 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 3, a: 3, n: 1, i: 2, e: 1}. What is prob of picking 2 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {v: 2, w: 1, n: 2, r: 6}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16548753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -622 divided by -3143?\nAnswer: 622\/3143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24807026 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13))**42 assuming m is positive.\nAnswer: m**(-546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, -7\/2, -1\/53, 5, 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -249789508\nAnswer: 74936852.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13997.\nAnswer: 13997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(720) + 2 - (sqrt(720) + sqrt(720)*-3 + 2 + sqrt(720) + sqrt(720)))*-4.\nAnswer: -48*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1240089 = 5*b, 5*l - 14 = 6. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4 + 33*t**3 - 144*t**2 + 64*t = 0. What is t?\nAnswer: 0, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 26*u + 24.\nAnswer: -2*(u - 4)*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.6 - 0.6. Let w = h - 1. Which is the nearest to 0.1? (a) w (b) -0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 6*s**2 + 7*s. Let m be (-6)\/2 - (-13 + 3). Determine u(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17630777 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.5407536\nAnswer: 0.21630144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 51*j**2 + 480*j + 149. Calculate f(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 27. Let l be 1\/(1*(-4 - a)) - -4. Let b be (l + (-81)\/25)\/((-3)\/40). Which is smaller: 4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 12:26 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -5, -1\/3, 0.01, 1\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 14, -6929, -1.3 in descending order.\nAnswer: 14, 5, -1.3, -6929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 83*m + 2950. Determine h(-36).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11865.\nAnswer: 3, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-33))\/(-3*4\/(-684))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.23 - 0.3. Let r = 0.08 + q. What is the third biggest value in r, -3\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 + 14*j + 10. Let t be v(7). Calculate the highest common factor of t and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, 61245 in ascending order.\nAnswer: -7, 0, 61245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*v - 6 = 4*i, -i + 3 = 4*v. Put -4, 5, i, 0 in increasing order.\nAnswer: -4, i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 9213570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q - 22. Let z be s(-9). Let p = -1 + z. Which is greater: 8\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123 by -7.\nAnswer: -123\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1000111101001101011001?\nAnswer: -1000111101001101011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -544045 (base 6) to base 3.\nAnswer: -2021200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2022525 + -10?\nAnswer: 2022515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146*k**4 - 7*k**2 - 9*k**2 + 22*k**2 + k**2 wrt k?\nAnswer: -3504*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4060*k + 215180. What is d(53)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 408708301 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8267, -8276, -8285?\n\"Answer: -9*l - 8258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3794 divided by 14\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 4*d + 7. Let q be a(5). Suppose 2*n = -2*x + q, 0*x - 3*x + 20 = 4*n. Suppose -j - n*j = -3. Solve -m = -2*m - j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 714960 to the nearest 1000.\nAnswer: 715000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190 and 6753470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/995714 and -7\/9459283?\nAnswer: 18918566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j + j)*((2 + 3 - 3)*(3 - 1 - 1) - 4 - 3 + 0).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3631 or 3632?\nAnswer: 3631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1857614215.\nAnswer: 5, 271, 1370933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 95604?\nAnswer: 95608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -36, 157?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from dowgk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*m + 14 = -3*c, 3*m + 15 = 0. Suppose -c*u = u + 30. What is the tens digit of (-196)\/u + (-2)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.1543 + -0.1543. Which is the closest to 9? (a) -3 (b) 2\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 20*g**2 + 23*g - 46. What is the tens digit of w(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 28*y**2 - 12*y - 42. Calculate n(27).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8586 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: What is the eighth root of 811198 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118540 - 252956 = -23*g. Let k = -4183 + g. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 0.5 (c) 0.05 (d) -5 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 7*g = 20. Let a = -18 + g. Let i = -23\/3 - a. What is the closest to 1\/3 in -3, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -35*h - 948. Let k be t(-27). Sort -110, k, 1 in descending order.\nAnswer: 1, k, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (696\/87)\/(4\/(-3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39834*j + 435*j**2 + 39834*j.\nAnswer: 435*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 52 = -122. Suppose -2046 = -q*z + 84*z. Is 64 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 994 divide 6262200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2226 or 1?\nAnswer: -1\/2226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -18509116.23 to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9*x - 210 = 0. Suppose -10*v = x + 10. Is v at least as big as -35\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 107 = -97. Suppose 0*o - 5 = o - c, 5*c = h*o + 25. Suppose o = 4*w + 3*n - 21, -3*w - 3 = w - 5*n. Solve -j + 8 = w*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1334*p**3 + 201436*p**2 + 309*p + 1058. Give s(-151).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*l - 413 + 11 = 108. Which is the closest to 0? (a) -19 (b) 0.2 (c) -11 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 + 252*s**2 - 8279*s + 208658\/3.\nAnswer: -(s - 722)*(s - 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1 - (-8 + -21). Let s = z - 28. Suppose 45 = 4*m - s. Calculate the greatest common divisor of m and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3366?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*n + 9 + 5 = 0, -12 = -3*n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/7)*k*(k\/k**(6\/7))\/k*k*k\/k**(-7)*k*k*((k**(-3\/5)\/k)\/k)\/k*k*k assuming k is positive.\nAnswer: k**(319\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15*n**2 - 56*n - 8. Let u(a) = -35*a**2 - 133*a - 19. Let p(h) = -8*u(h) + 19*x(h). Let f(b) = -772*b**2. What is p(f(j))?\nAnswer: -2979920*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13525? (a) 9.9 (b) 44\/3 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, -207, 439, 1\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126375155327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 10:40 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0950137 decades?\nAnswer: 0.000950137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2030 (base 4) to base 10\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242000388.\nAnswer: 2, 3727, 83311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6827 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-12))\/(10064\/(-5034) - -2). Let d = -314 + x. Calculate the remainder when d is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*b**4*j**2 - 2*b*h**2*j + 28*h**2*j - 3*h*j**2 - 2*j**2 with respect to b.\nAnswer: -60*b**3*j**2 - 2*h**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11538, 2, -490 in increasing order.\nAnswer: -11538, -490, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13365, -13901, -14793, -16041, -17645, -19605?\n\"Answer: -178*i**2 - 2*i - 13185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 m when four letters picked without replacement from {m: 4, d: 3, x: 4, g: 1, q: 2, j: 3}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 250438?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -5 (b) 0.1 (c) 0.12 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4 + 1 + 2 + z. Suppose 4 = -i + 6. Suppose 17*q + 259 = -115. Let y(f) = f**2 + 11*f - 11. Calculate i*y(g) + q*u(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*336102.\nAnswer: -336102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**3 + 26*h**2 + 19*h**3 + 18*h**3 + 12*h**3 - 54*h**3.\nAnswer: 6*h**3 + 26*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4) + -4 + -2*sqrt(17) + 5 + (sqrt(833) - (sqrt(833) + -1) - sqrt(833))**2 + (sqrt(153)*-2)\/sqrt(9).\nAnswer: -17*sqrt(17) + 835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620335436 a multiple of 412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78, -163, -298, -483, -718?\n\"Answer: -25*v**2 - 10*v - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1547*h = -1544*h + 5*z + 180, 0 = -2*h - 2*z - 116 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 41*f. Let j(r) = -9082 - 9010 + 18092 - 146*r. Determine t(j(h)).\nAnswer: -5986*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/9))**(26\/9)\/(s**(-1\/3)\/(s**(2\/3)*s)))**(7\/2) assuming s is positive.\nAnswer: s**(749\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2289414.\nAnswer: 2, 3, 381569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 + 3*y**4 + 2 + 4*y**2 + 0 as f*y + k*y**2 + j*y**3 + g + x*y**4 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/68 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by -6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 450.02 - 450. Is -18 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342 and 2071?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 - 272\/36 - 3952\/7272. Sort 1\/6, h, -0.1 in increasing order.\nAnswer: -0.1, h, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.71 - -755.71. Let y = w + -750.00725. Round y to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z - 28*z - 25*z - 12*z.\nAnswer: -75*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**4\/26 + 40*r**3\/39 - 133*r**2\/13 + 588*r\/13 + 871. Factor b(a).\nAnswer: -2*(a - 7)**2*(a - 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Let q(x) = x**3 - 3*x + 1. Let y be q(n). Let s = 0 - y. What is the smallest value in 5, s, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89440879.\nAnswer: 11, 8130989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 70 = -5*t - 60, 5*t = 2*z + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*l + 87 = 5*r, -3*r + 87 = 4*l. Suppose -16*p = -15*p - r. Calculate the greatest common divisor of p and 261.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -56*(1 - 4)\/3. Suppose z = 2*f - 72. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n + 187. Let g be v(-13). Suppose -34 = 15*x - g. Solve 5*k - 10 = -5*s, -x*s + 4 = -0*s - k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39655709, 39655670, 39655631?\n\"Answer: -39*x + 39655748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m + 1. Let i(y) = 8*y - 3. Let h(t) = 8*t - 3. Let r(o) = -2*h(o) + 3*i(o). Let p(d) = 9*c(d) + 4*r(d). Determine p(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*l**2 + 2046*k**2 + 7*k*l**2 - 2*k*l - 54*l**2 wrt k.\nAnswer: -4*l**2 + 4092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 132d?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -224382.7486 rounded to the nearest one hundred?\nAnswer: -224400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-88))\/((180\/55)\/6). Let w = 45 - 47. Which is the closest to r? (a) 1\/10 (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.3 + -12. Which is smaller: z or 2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(2 - (5 - 2)). Let t(u) = -u - 4. Let v be t(-6). Is (-2)\/(v*a\/30) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 948699893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 - 50. Suppose c*p + 20 = 72. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 2, 4, 26276043, 1 in descending order.\nAnswer: 26276043, 4, 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g = -3*w + 52, 3*w - 2*g + 2*g + 2*g - 3*g = 68 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20350, 40702, 61054, 81406, 101758?\nAnswer: 122110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2298389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21709 and 12770.\nAnswer: 217090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 6062.2 and 0.714.\nAnswer: 6062.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l - 15. Let u be o(5). Is -4\/21 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 43 = -7. Let l(i) = -2*i**3 + 2*i + 3. Calculate the remainder when l(-2) is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -774, -3064, -6870, -12192?\n\"Answer: -758*y**2 - 16*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/(-10))\/(2\/(-44)). Suppose 8*f - 2*f = -60. Let g be 25\/10 + (-35)\/f + -3. Solve 3*s + k = -t, -6*s = g*t - s + 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-318)\/(-742))\/((-12)\/98). Sort 3\/7, -4, u, 0.2 in decreasing order.\nAnswer: 3\/7, 0.2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15227130914 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 906*r - 23550. What is j(26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 2, l: 1, i: 1, j: 1, z: 1}. What is prob of picking 1 j and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12383, 12384, 12385, 12386, 12387?\nAnswer: 12388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -1)*(-12)\/24. Let l be (2\/6)\/(10\/30). Suppose c = y - 5*i + 11, l + 2 = i. Solve -p - y*p = -15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23985, -47980, -71975, -95970, -119965?\nAnswer: -143960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 16*p + 16. Suppose -5*s = 124 - 114. Let d(y) = -7*y - 3. Let o(q) = -9*q - 3. Let t(r) = s*o(r) + 3*d(r). Give -4*j(v) - 22*t(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*b + v, -5*b + 37 = -4*v - 17. Let i = -6 + b. What are the prime factors of 2 - (27*i)\/(-2)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.628 - -0.53. What is the smallest value in d, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.352*0.055.\nAnswer: 0.01936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(637) + 2 + -3)**2 - (sqrt(637)*-1 + -4 + sqrt(637))) - (6*(-2 + sqrt(637)) - (1 + ((5*sqrt(637))**2 - sqrt(637)))).\nAnswer: -63*sqrt(13) + 16585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gigygyiigglll. What is prob of sequence lglg?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -2100101?\nAnswer: 2100102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5103 and 923076.\nAnswer: 8307684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738932.8um to meters.\nAnswer: 0.7389328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*2 + -7 + 8. Suppose 0*j = -n*j. Suppose r - 27 = 5*u, -3*u + 8*u + 20 = j. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 5*i + 964, 2*z - 644 = 2*i - 0*i. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 5*g + 5*v - 745 = 0, v = -4*g + 587. List the prime factors of g.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 4, 0.038, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 10. Suppose -5*h + 2 = -p, -b*p + h + 7 = -4*h. Suppose 0 = p*g - 15, 19 = 4*r - 3*g - 2. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(13*j - 5*j - 29*j).\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1057 and -0.0427.\nAnswer: -0.00451339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 5*r**2 - 15*r + 0*r**2.\nAnswer: -r**2 - 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 48\/5 of a microsecond?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178*y**3 - 89*y**2 - 1 wrt y?\nAnswer: 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-14)*-5*9\/15.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -537 - -844. Suppose -4*y + 605 = -0*h + h, 2*y - b = h. Let x = y - 66. What is the remainder when x is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 6*g - 34. Let b be d(7). Solve -12*z + 8*z + b = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6463*r = -3*n + 6458*r + 19, -2*n - 3*r = -12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -200788914100 to the nearest one million.\nAnswer: -200789000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 711988700 to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -5246493 and 0.08 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -7*n**5\/20 + 11*n**2 - 4*n. Differentiate f(w) wrt w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 13*x + 971. Let k be t(-25). What is the highest common divisor of k and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, 1, -1, 5 in decreasing order.\nAnswer: 12, 5, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 21*s + 76. Let p be t(16). Suppose 3*n = -4*o + 1, -2*o - 6 = 5*n + 11. Calculate the smallest common multiple of o and (-3 - 16\/(p\/2)) + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5142087 and 414.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8870 - 18*t + 6*t + 4*t.\nAnswer: -8*t + 8870","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/46058 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3869, -15458, -34805, -61916, -96797, -139454, -189893?\n\"Answer: -j**3 - 3873*j**2 + 37*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -517 by 84675.\nAnswer: -517\/84675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*1*((sqrt(475) + -1 + -5 - -3*2*sqrt(475)) + ((2*sqrt(475) - sqrt(475) - sqrt(475))*-6 - (sqrt(475)*1 + -1)))**2.\nAnswer: -51375 + 900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2 + 15898*z - 27167988.\nAnswer: -2*(z - 5462)*(z - 2487)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 6. Let s = u + 3. Calculate the remainder when 13 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2178948 and 366.\nAnswer: 132915828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6 = -3*g. Let l be (g\/9)\/((-2)\/(-42)). Suppose -385 = 2*u - l*u. What is the greatest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v**3 - 2*v + 1. Let b = -3 + 4. What is the lowest common multiple of j(b) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m = -19*m + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-11 - -15 - (1 + 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -302504 at least -1512526\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*d - 30. Let m be (-5)\/(-10)*d\/(-15). Sort 0.1, m, -2 in increasing order.\nAnswer: -2, m, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53*j - 53*j + 5*j**3 + 30*j wrt j.\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14820 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t**(-4)\/t)*t)**(-2\/23) assuming t is positive.\nAnswer: t**(-18\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*t - 22*t - 9*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82201 rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47847485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23274 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2) + 57\/(-90). Let h = -2.1 + 2. Let y = 10.2 - 10. Which is the closest to h? (a) o (b) y (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v + 119. Calculate c(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 74*t**3 - 5*t**2 + 2*t - 2. Let y be x(2). Let n = y + -573. Which is the closest to -2? (a) -0.4 (b) 2\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, l: 3, m: 1, r: 6}. Give prob of picking 1 m, 1 r, and 2 e.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06000252 + 0.06. Round g to seven dps.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 267, 954, 2121, 3768, 5895?\n\"Answer: 240*l**2 - 33*l + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18 and -0.089.\nAnswer: 17.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**4 - 3643*h**3 - 244929*h**2 + 500783*h - 252212 = 0.\nAnswer: -68, 1, 3709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3\/5 + 1383*t**2\/5 + 32016*t + 31740 = 0 for t.\nAnswer: -230, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 2. Let m(w) = 35*w + 21. Let c(h) = 22*h + 13. Let j(n) = 8*c(n) - 5*m(n). Let f(i) = -3*i + 4. Calculate o*f(y) - 2*j(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**4\/48 - 13*m**3\/24 + 5*m**2 + 5*m - 17. Factor t(z).\nAnswer: (z - 8)*(z - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -64. Suppose 5*s + c*o - 135 = 3*o, -4*s + 80 = -4*o. Suppose s*t = 26*t - 28. Calculate the greatest common divisor of 28 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 11 = -2*w, -3*w - 3*a - 19 = a. Let g(s) = s**3 + 4*s**2 - 5*s + 6. What is the lowest common multiple of 18 and g(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 95884, 96010, 96130, 96244, 96352, 96454, 96550?\n\"Answer: -3*b**2 + 135*b + 95752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -786*(-35)\/30 - -10 is divided by 154.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26539320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17b8 (base 14) to base 6\nAnswer: 31450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) + (sqrt(264) + 1*2*sqrt(264) - sqrt(264)))\/sqrt(11))\/((sqrt(200) + sqrt(200) + (sqrt(200) - sqrt(200)*-1) - sqrt(200) - sqrt(200))*4).\nAnswer: 3*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15453632 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b - 70. Let h be x(8). Let q(o) = 5*o**2 - 7*o**2 - o**2 + o**h. Let v(s) = -22*s. What is v(q(k))?\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*a**3 - 11*a**2 + 17*a**2 - 6*a**2 + a as x*a + o*a**2 + b + p*a**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 171*w - 486*w + 183*w + 1 + 159*w.\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 135*w**2 + w + 3. Let i(s) = -542*s**2 - 4*s - 11. Calculate -6*i(z) - 22*o(z).\nAnswer: 282*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1312?\nAnswer: -1303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -11 - (30 - (-15 + 16 + 4)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-1) - (9 + -3). Let y be (-12)\/4 + n + 5. Let i(c) = -c**2 - 5*c + 3. Let t be i(-5). Solve -5*r = -4*g + 41, y = -t*r - 2*r - g - 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, m: 9}. What is prob of sequence ii?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v + 0*v - v + (7 + 1 - 2)*(0*v - 2*v + v) + 5*v + 0*v - 3*v + (-v - v + 0*v)*(-7 - 3 + 2)*(2 - 3 + 2) to the form f + d*v and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2504302 (b) 0.057 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l - 90 - 8. Suppose 2*b + 3*z + 3 = 0, -4*b + b + 24 = -5*z. Let p be 2\/(0 - 4\/10). Put b, l, p in descending order.\nAnswer: b, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*h - 51. Let y(a) = h*a - 14*a + 5*a. Let c(z) be the third derivative of z**5\/5 + 2*z**2. What is c(y(x))?\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 131 + -404\/3. Suppose -5*x + 10 = -10*x. Let y = -3202 + 3201.6. Sort x, 3, y, n in descending order.\nAnswer: 3, y, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 9*n + 61. Let s(u) = u**3 - 4*u - 30. Let m(v) = 9*s(v) + 4*t(v). Differentiate m(r) wrt r.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -184*v**6\/3 + 360*v**2 - 732. Find the second derivative of l(g) wrt g.\nAnswer: -7360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10212 - -22002111?\nAnswer: 21221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1346025*f - 4*f**3 + 2*f**3 - 1346045*f.\nAnswer: -2*f**3 - 20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.3 in 2\/3, 1\/3, -65?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 10*s + 8*s - 12*s + 3*s**2 - 24 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -27\nAnswer: 16\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4059 + -4040.27. Let r = x + -2.13. Round r to zero dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1464650301?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d - d + 2*d + d - 3*d + d + (0 + 5 + 0)*(d + 0 + 0).\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1641000 rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h + h)*(-5 + 3 + 0) - 1 + 5 + 0 + 3*h.\nAnswer: 7*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 443859, 887721, 1331583?\n\"Answer: 443862*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3427063.604 rounded to the nearest 100?\nAnswer: 3427100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = 16*y + 2*y + 135. Let v(m) = -3*m**2 - 1. Let x(d) = 4*d**2 + 2. What is y*v(c) - 4*x(c)?\nAnswer: -c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*a = 10 + 15, -4*g - 32 = 4*a. Let n = g + 9. Differentiate -1 - s**2 - 2*s**2 + s**n wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 1\/6*j**3 + 2\/3*j + 2\/3*j**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n - 5*n**2 + 4*n**2 - 4*n**2.\nAnswer: -5*n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1053.7 in -0.5, -0.7, -0.3, 2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -125118812 divided by -32617?\nAnswer: 3836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*v**5 + 3*v**3 - 69*v?\nAnswer: -240*v**3 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001286 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8204046161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 16 + -6 + -28?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 101241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 - 5*u**2 - 8*u - 14. Let w(v) = v**3 - 2*v**2 - 4*v - 7. Let n(o) = -2*k(o) + 5*w(o). Let f(i) = i + 1. Give -6*f(m) - n(m).\nAnswer: -m**3 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**4 - o**3 + o**2 - o + 1. Let x(n) = -3*n**5 - 11*n**4 - 11*n**3 + 5*n**2 + 16*n + 5. Let g(z) = -h(z) - x(z). Let g(c) = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26266 (base 9) to base 16\nAnswer: -4536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1. Suppose 7 = 2*f + 11. Let b(q) = 2*q**2 - q + 3. Let c(o) = f*v(o) + b(o). What is the remainder when c(-3) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 m when three letters picked without replacement from qqqmqqqqmqmmmmmq.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 187011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c - 53. Let p be -14*(-4)\/(-1 + -3). Let u be m(p). Solve 5*o - 2*o - u*r + 3 = 0, -3*o = 5*r - 29 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106037994043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7980 divided by 19.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 159 + 5*w - w**3 - 6*w**2 + 2*w - 157. Calculate j(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 - (5 + -9 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/406 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in -0.7, 6\/11, -4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3 = 1, k - 3 = -y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*w - 17 = 3*l, 2*l + 13 = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*i**4 - 188227*i**3 - 21*i + 600904841?\nAnswer: -40*i**3 - 564681*i**2 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 18*x + 97. Let p be s(-7). Suppose 3*q - 24 = 3*t, 3*t + 9 = -3*q + q. Solve -p*u = -17*u - q for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3114 - 109630 = -8*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2471490 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 7427292*m - 7427292*m + 2*m**2.\nAnswer: 2*m**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 = -5*b - 4, -8 = 2*s - b. Let a = 3246 - 94119\/29. Let p = a - 339\/319. What is the third smallest value in p, -1, s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 1392*s - 1355. Calculate j(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 14. Suppose 8 = 2*a + 4*f, 0*f + 3*f - 1 = -s*a. Sort -5, 0, a in descending order.\nAnswer: 0, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1356*x - 1356*x - 107*x**3 - x**2)*(3 + 2 - 3)*(0 - 1 + 2)*(1 + 3 - 6) to v*x**2 + f + r*x + j*x**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -541, 0.19, 4, 14\/3, 0?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26244 - 1884*w + 26244.\nAnswer: -1884*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15808 and 1026?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 170*c**3 - 5*c**2 - 1. Let w(d) = 172*d**3 - 6*d**2 - 1. What is 6*f(q) - 5*w(q)?\nAnswer: 160*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 1. Let t(q) = -20*q**3 - 6*q**2 + 6. Suppose 196*l - 218*l + 22 = 0. Calculate l*t(p) + 6*b(p).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285732, 285748, 285776, 285816, 285868, 285932?\nAnswer: 286008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 174, 178, 184, 192, 202, 214, 228?\n\"Answer: n**2 + n + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14428853*r**3 + 315024*r**2 - 9*r - 2?\nAnswer: -86573118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - u - 2*u + (0 + 3 - 5)*(2 - 2 + 2*u) + 2*u + 0*u - 4*u + u - 2 + 2 + 10*u - 9*u + 0*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*u + 128 - 128)*(6 - 4 - 3) - 4*u + 3*u + 7*u + 0*u - 3*u - 2 + 0.\nAnswer: 21*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386477695.\nAnswer: 5, 73, 307, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 22 + 48)*(308*w - 184*w - 186*w) + (-3 + 2 - 1)*(-w + 0 + 0) - 5*w + 3*w + w.\nAnswer: -247*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from grggqqqqrjgggqgggq.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (51\/(-15) + 4)*(-23)\/((-621)\/6). Suppose 486\/5 + p*u**2 + 36\/5*u = 0. Calculate u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**10)\/t**(4\/5))\/(t*t*t*t**(-4)*t*t**(-4\/5)\/t) assuming t is positive.\nAnswer: t**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77.2 + 82. Let f = 4.8 - k. What is the smallest value in 5, 1\/4, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {k: 1, q: 2, v: 1, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((3\/1)\/((-4)\/(-4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 53 (b) -0.3 (c) -0.11 (d) -0.1 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p**2 - 4*p - 22. What is j(5)?\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 4) + 3 + -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11213 (base 4) to base 15\nAnswer: -18e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 21434936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 (base 12) in base 13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 + 44)\/(-2 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-2))\/3 + -1212*128\/(-72) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23295, 23370, 23445, 23520?\n\"Answer: 75*k + 23220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - (-14)\/(-4))*15\/((-855)\/(-76)). Let x = -3.2 - -3. Which is the third biggest value? (a) x (b) -0.1 (c) y (d) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1479306 is divided by 646?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2428303262.\nAnswer: 2, 7, 11, 1433473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0, 13, -940 in increasing order.\nAnswer: -940, -21, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 747953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.25 - -0.05. Suppose 7*f = 2*z + 4*f - 9, 0 = 3*z + f + 3. Suppose 4*q + z*q - 4 = 0. Which is the third smallest value? (a) q (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52828597 to the nearest integer?\nAnswer: 7268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1261588661 rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2\/2 - 1962*l - 2402235\/2 = 0.\nAnswer: -3165, -759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4496821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 29481*q - 176725. Give t(6).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5 = 7*f + 27, -4*f - 31 = -5*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/2343 and -43\/5964.\nAnswer: 65604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -466 + 472. Suppose s*b = 17*b - 6336. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2 + 2)*(-2*i + 15*i + 14*i)*(i**3 + 3*i**2 - 3*i**2).\nAnswer: 27*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-3))\/(1\/(-5)). Suppose -z*n + 12 = -l, 5*n - l = 3*l + 3. Solve -n*c = -4*c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**4 - 3*q**2 - q - 3. Let b(r) = 1628*r**4 + 15*r**2 + 5*r + 221. Let i(d) = -b(d) - 5*j(d). What is the derivative of i(m) wrt m?\nAnswer: -6532*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793911055.\nAnswer: 5, 7, 647, 35059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-30)*((-810)\/(-3969))\/((-4)\/7)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -1 + (-4)\/2. Let w = 12 + b. Calculate the remainder when 21 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 329 and 57763.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 77?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/((a*a\/(a*(a*a**(1\/2))\/a*a)*a)\/a))\/a)\/a)**(-17)\/((a\/a**8)\/a**(-13)))**(4\/3) assuming a is positive.\nAnswer: a**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(1\/21))\/q)\/q)\/q)**(6\/17)\/(q**(-22))**(16\/3) assuming q is positive.\nAnswer: q**(41630\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 1)\/(-1 - 1). Let c = 7 + -4. Suppose q - c = -m. Solve -r = -4*t - 4, 0*r + 5*t = -q*r - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-586)\/3)\/(4\/6). Let h = o - -452. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 16*w**3 - 3*w**2 - 4*w + 15. Let g be o(4). Suppose -q = -5*h + 3*q + g, -585 = -3*h - q. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 - 14*j + 641. Let z(c) = 3*c**2 + 9*c - 427. Let o(p) = -5*k(p) - 8*z(p). Suppose -4*a = -2*a. Is o(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 97\/4, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13472 or -13473?\nAnswer: -13472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 1, q: 4, w: 1}. What is prob of picking 1 h and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 1:37 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.246809148 to two dps.\nAnswer: 2.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 19.65064 millimeters?\nAnswer: 1.965064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9782072 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -90 - -89 - (3 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8407, -16794, -25181?\nAnswer: -33568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -476, 16470 in decreasing order.\nAnswer: 16470, 2, -2, -476","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 1. Let b(j) = 3*j + 686. Let o(c) = -b(c) - 5*s(c). Let a(g) = -g + 691. Let v(d) = -4*a(d) - 5*o(d). Is v(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/135 + 149\/945. Let h = 0.054 + -0.0093. Let m = h - -0.1553. What is the nearest to 2\/11 in m, -4, g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38410 by -10.\nAnswer: 3841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 4*i + 11 - 25, -i = q - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**3*q*v**2 + 104*a**3 + a**2*q + q*v**2 - v**2 wrt q.\nAnswer: -4*a**3*v**2 + a**2 + v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 847*k + 217. Let q(t) = 65*t + 17. Give -77*q(i) + 6*z(i).\nAnswer: 77*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -30*m - 21. Let j(i) = 6*i + 4. Let z(y) = 21*j(y) + 4*l(y). Calculate the lowest common multiple of 16 and z(2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i - 8. Let r be p(5). Let o(v) = r + 7*v - 12. Let a(d) = -d. What is o(a(k))?\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k + 60*k + 935 = 0 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r*r**(-1))\/r*r)\/r**(1\/7)*r**(1\/2)\/r*r**(-2\/7))**(1\/2))**(2\/21) assuming r is positive.\nAnswer: r**(1\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 6 + 4. Suppose 5*s + 5*g - 2*g - 1480 = 0, -5*s + 1455 = -m*g. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 12*g - 7. Calculate s(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 15. Is q equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f - 5 = 19*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + -2. Let l be n - -7 - (-2 - 0). Suppose 0 = 3*h + 2*y + y - 249, -l*h + 3*y + 176 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4}. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2 - 5*q - 13. Let n(u) = u**2 + u + 3. Let a(i) = 2*i - 21. Let r be a(6). Give r*n(b) - 2*t(b).\nAnswer: -b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 353 (base 7) to base 5\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1485410.468 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 19 = 3*r, -3*p - 11 = -4*r + 16. Suppose -s = -r*s + 110. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*((0 + 1 - 2)*(-1 + 0 + 3) + 2 - 1 - 5)*(-37 + 38*m + 37).\nAnswer: 228*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (3 - 4) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times -0.04\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 + 35*c**2 + 9*c + 60. What is a(18)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 + -39. Suppose 4*s - u = -s. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 392.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 9*u - 7*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -2075, 1 in ascending order.\nAnswer: -2075, -53, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288 by 72.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, p: 2}. What is prob of sequence kpkk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpqxxxeqqrqqqp. Give prob of picking 1 p and 1 r.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 316, 2, -5\/6, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**4 + 11*w**3 - 19*w**2 + 13*w - 3 = 0?\nAnswer: 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -23*i + 23. Let s be z(1). Determine k, given that s*k**2 + 0*k - 2\/3*k**3 + 0 - 2\/3*k**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7 + 9 = 0. Suppose 7*a = n*a - 8. Which is smaller: a or 11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 7*i = -1152. Let k = 98 + i. What is the hundreds digit of (130 + k)*4\/(16\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 7, -26, -97, -212, -377?\n\"Answer: -h**3 - 10*h**2 + 36*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-2)*((-952)\/70)\/17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 595103187 + 15\nAnswer: 595103202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (5 + 7 + -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in -5, 2\/13, -3\/2, 0.01?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 29 = 4*a. Let g(r) = r**2 + 7*r + 4. Let h be g(a). What is the common denominator of h\/3*(-116)\/16 and 65\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 101?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12821*k + 815*k + 22521*k to the form m + s*k and give s.\nAnswer: 10515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 738 and 820?\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/18*(-45)\/(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -22. Let a(d) = 12*d - d - 13 - 4*d**2 + 3*d**2. List the prime factors of a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*w**5 + 0 + 0*w + 0*w**2 - 6\/13*w**3 + 8\/13*w**4.\nAnswer: -2*w**3*(w - 3)*(w - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - w**2 - 5*w**3 - 32595 + 32594. Let a = 24 + -12. Let s be (-2 + 0)*(-6)\/a. What is x(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 1:08 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s - 9. Let l be f(8). Suppose 4*i - l = 5*a, a + 0 = 1. Let c = i - 7. Which is smaller: c or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16328.6787 + 16321. What is j rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17401 is divided by 4770.\nAnswer: 3091","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41\/2 of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -227*o. Let a(u) be the first derivative of -8*u**3\/3 - 3087. Calculate a(q(t)).\nAnswer: -412232*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 - 3*u**3 + 3*u**3 + (0 - 3 + 1)*(-u**3 + 177*u**3 + 23*u**3).\nAnswer: -400*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 15292, 15302, 15324, 15364, 15428, 15522, 15652?\n\"Answer: b**3 + 3*b + 15288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(500)*1*2.\nAnswer: -80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 525 and 133?\nAnswer: 9975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + (sqrt(102) - (((sqrt(102) - (sqrt(102)*-6 + sqrt(102))) + sqrt(102))*-2 + sqrt(102))))*-3)\/(-4*(-2*sqrt(6)*-5 + sqrt(6))).\nAnswer: 45*sqrt(17)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, t: 2, o: 4, r: 2}. What is prob of picking 1 g and 2 o?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 8:59 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**6\/120 + 11*c**5\/60 - c**4\/12 + c**3\/6 - 3*c**2 - 166*c. Give w(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*v**4 + 32\/3 - 6*v**3 - 24*v + 56\/3*v**2.\nAnswer: 2*(v - 4)*(v - 2)**2*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -147 + 455 + 16*a**2 - 154 - 154. Let d(y) = -1. Let r(i) = 3*i + 2. Let k(z) = -2*d(z) - r(z). Determine k(q(j)).\nAnswer: -48*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 4*l - 8, 4*y + l - 3783 = -3796 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 41*t**2 + 52*t - 1121. What is the ten thousands digit of f(29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06773 - 361584355?\nAnswer: -361584354.93227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*l + 18 = -123. Solve -l*d = -2*n + 45 - 24, 4*n = -4*d - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 84\/11 in 4, 0.033, -2\/7, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 1 + 3)*(2 + 2 - 2) - 2 + 1 + 2)*(-10*i + 39*i + 52*i).\nAnswer: -81*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*z - 8 = -114*z. Determine q, given that -2\/9*q**3 - 2\/9*q + 0 - 4\/9*q**z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(500) + -5 + -3 - (-4*(1*sqrt(500) + sqrt(500))**2 - (sqrt(500) + -5*(sqrt(500) - (sqrt(500) - 2*sqrt(500))))))*4.\nAnswer: -400*sqrt(5) + 31968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -238, -5, 671, -4, 4, 20.\nAnswer: -238, -5, -4, 4, 20, 671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*q - 8 = 0, -12051*i = -12044*i - 2*q - 39 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bzz when three letters picked without replacement from {k: 3, z: 10, e: 2, n: 1, l: 1, b: 1}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(18)\/sqrt(2)) + (-1*sqrt(133))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27*(-16)\/(-72)*(-72)\/(-63)*(-49)\/6?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2981 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 5*i**2 + 3*i - 6. Give f(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bttttttbhhhhb. What is prob of sequence th?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/(sqrt(20)\/sqrt(5) + sqrt(4)) + sqrt(192)\/sqrt(4) + -3)*2)**2.\nAnswer: -144*sqrt(3) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 5:31 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + -1)*(-15)\/(-9)*-1. Let o(a) = 29*a - 31. What is the units digit of o(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33317 (base 8) to base 14.\nAnswer: 5183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 13311*n**3 + n**2 + 8*n - 21. Is h(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 217*m + 6064. Let j be o(25). Solve j*f - 75 = 23 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35404422*q**3 + 165798761?\nAnswer: 106213266*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*x - 13, 4*y + y - 5*x + 15 = 0. Let a(n) = n**2 - 6*n - 9. Let d be a(8). Suppose 13 = -2*q + d. Sort y, -5, q.\nAnswer: -5, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 47.3. Let k = g + 5.1. Let n = -15.5 - -16. What is the second biggest value in k, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*l - 48*l - 6*g + 44 = -8*g, 2*l - 10*l = 2*g + 206 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1052490749*t + 20362811 wrt t.\nAnswer: 1052490749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 + 17)*(-v + 2 - 2) in the form h*v + g and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1543.3 + -1544. Let v = -0.7 - -0.2. Let i = 43.2 - 43. What is the second smallest value in i, a, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 3:33 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3896265ml in litres?\nAnswer: 0.0003896265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.042 and -14845?\nAnswer: -623.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - -99) + 3 - -5. Let k = p - 108. Which is smaller: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(-3 + sqrt(84)\/sqrt(7)) + 3*(sqrt(24)\/(sqrt(72)\/sqrt(9)) + 3))**2.\nAnswer: -2715 + 780*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34383*a**2 + 34386*a**2 - 68780*a**2 - 5.\nAnswer: -11*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5527\/2170 - 149\/155. What is the common denominator of z and 3\/7280?\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = n - 17, n + 2*s - 7*s - 25 = 0. Let d(t) = -6*t**2 + 2*t + 6*t**2 - t**3 - t**2 - 4 + n*t**2. What is d(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3808 and 11968.\nAnswer: 83776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*4\/42)\/(-6*(7 + -8))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 14475604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = 0. Solve 7*k - 2*k + 25 = n for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30895649093 + 0.23482?\nAnswer: 30895649093.23482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.421041km to centimeters.\nAnswer: 342104.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.05 (b) -2\/9 (c) -1\/2 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 6. Let k(h) be the second derivative of h**3\/2 + 9*h**2 - 5*h + 31. Give -17*a(y) + 6*k(y).\nAnswer: y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32\/15 - -7\/3. Which is the second biggest value? (a) h (b) 0.8 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3084 + -2864. What is the highest common factor of z and 1595?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1245 and 0.064162?\nAnswer: 1245.064162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f - f - 6*f)*(0 + 1 + 0) + 0*f + 2*f + 0*f)*(-42*f**2 - 42*f**2 + 27*f**2).\nAnswer: 171*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 277 - 1109\/4. Let c = -3.5 + 3.1. What is the closest to -2\/3 in c, 4, j, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 0*b**4 - 8\/11*b**3 + 2\/11*b**5 + 4\/11 - 4\/11*b**2 + 6\/11*b = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 1. Let b be c(0). Let g be b + -4 + 11 - 0. Solve 2*j - 5 = 3*z, g*z - 3*z = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(150))\/(-5*sqrt(125)).\nAnswer: -sqrt(7)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -23644 bigger than -23644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/2659 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**3 - 590*g**2 - 2420*g - 2440 = 0?\nAnswer: -2, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12799963\/4580 + -11179\/4. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(720) + -3 - (0 + (1*sqrt(720))**2).\nAnswer: -723 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + w = -27, 0*m - 3*w + 10 = m. Let p = 11 - 7. What is the remainder when m is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -218, -223, -228, -233, -238, -243?\n\"Answer: -5*j - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2548 and 6292?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsapatprr. Give prob of sequence sa.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**6\/24 - 3*f**5\/20 + f**4\/8 - 7*f**3\/6 + 12*f**2. Let w(a) = 3*a**3 + 5*a**2 - 2*a + 4. Give 4*c(r) + 7*w(r).\nAnswer: r**3 - r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*r**3 - 1718641*r**2 - 51289835 wrt r.\nAnswer: -15*r**2 - 3437282*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -541, -1063, -1559, -2017, -2425, -2771, -3043?\nAnswer: -3229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7860 + -3808. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956058.\nAnswer: 2, 3, 79, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 164, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {m: 1, x: 1, p: 4, s: 1, d: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 343 = z, 0 = -4*x - 3*z - 2*z + 439. Let r = -93 + x. Suppose 25*v = r*v + 198. Calculate the remainder when v is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 a factor of 51012035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 1 in ascending order.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1352*y - 17572. Give p(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -69*r. Let d(t) = 3*t**2. Determine d(f(q)).\nAnswer: 14283*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 14*d + 19. Let p be v(-14). Suppose -p = 2*z - 5*j, -3*j + 6 = -3*z - 0. Solve -z*i = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142890 and 672882.\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 7:50 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5429, -44070, -148951, -353192, -689913, -1192234?\nAnswer: -1893275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -209, -217, -227?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.08661 - -14.13261. Let w = -0.346 + 0.3. Let h = w + t. Which is smaller: h or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in -1, -2, -330.1, -2\/39, -2\/13, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 x, and 1 j when four letters picked without replacement from {j: 2, x: 1, c: 1, e: 1, o: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -14326, 5\/4, 0.4, 6?\nAnswer: -14326","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05893 - -4.94107. Let m = -0.9 + 1.7. Let j = -0.2 - m. Which is the nearest to -2\/9? (a) j (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4300, -17139, -38528, -68461, -106932, -153935, -209464, -273513?\n\"Answer: d**3 - 4281*d**2 - 3*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 + 745*z - 6178. What is a(8)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17466819?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1736*d + 17369. Give i(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -154155646 + 154155646.324701319. Let h = p - 0.3247. What is h rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/12*87\/(-1276). Which is the third smallest value? (a) -4 (b) -2 (c) -5 (d) g (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -28. Suppose -3*b + p = -333. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 239098437 or 239098435?\nAnswer: 239098437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1663.2782 to the nearest integer.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**3*b**2*y**2 + 21158*a**3*b*y**2 - 4*a**2*b + 28*a*b**2*y + a*b*y**2 - 2*b*y**2 - 2 wrt a?\nAnswer: -24*b**2*y**2 + 126948*b*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 522 - 2?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114238?\nAnswer: 2, 57119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010110001010 + -1?\nAnswer: -11010110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k - 2*k**3 + 3*k + (-k**3 + 0*k**3 + 0*k**3)*(4 - 2 - 1) - 49*k - 33*k - 579*k**3 - 2 + 581*k**3.\nAnswer: -k**3 - 82*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + 102. Does 23 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -13 - 11 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3313122 by 2.\nAnswer: 1656561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*m - 15 = -5*a - 62*m, 0 = a - 5*m - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + -2. Let w = b - -22. Let k be w - (1\/1 + 1). Solve -q = -2*q + r - k, 2*q = -5*r + 17 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 43 = 57. Let f = 29 - m. Let g be (-24)\/f*(-6)\/(-1). Sort -5, 4, g in increasing order.\nAnswer: g, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4)*8)\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, -2, -3, -1, 0, -18.\nAnswer: -18, -5, -3, -2, -1, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ba4 + 131?\nAnswer: cd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 4. Let q be m(7). Let z = 1.27 - 6.27. Sort z, 5, -2\/95, q in decreasing order.\nAnswer: 5, q, -2\/95, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 13 = 5*a, 89*s = 90*s + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1797781 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6 - 38*b + 4 + b**3 + 22*b. What is the tens digit of k(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y**(-30\/13)*y)\/y*y*y)\/y*y\/(y\/y**(-16)))**(10\/7) assuming y is positive.\nAnswer: y**(-1990\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 6 = 5*f. Suppose 13*n = 3*n + 280. Suppose 0 = -6*i + f*i + n. Let b(z) = -z**3 - 14*z**2 - z - 17. Give b(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.58 and 1.33.\nAnswer: -3.4314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 790 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1425 and 213?\nAnswer: 101175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10112431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 535494444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 74*b + 420. Let g be c(-26). Sort 3, g, -4.\nAnswer: g, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -15*y - 3. Calculate the least common multiple of k(-2) and 24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-1*sqrt(20)*3)\/(-3*(sqrt(576) - 2*sqrt(576))))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2201 - 1100 - 1096 + 6*v**3 + 9*v**3.\nAnswer: 15*v**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -6. Let c be 28\/(-3)*(-1)\/(28\/72). Suppose -k*g + c = -12. Calculate the highest common divisor of g and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696188 is divided by 174037?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1780 + -30?\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 88664043 and 45.9842.\nAnswer: 88664088.9842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0*q)**(-1\/4))**(-9)\/((((q\/q**(1\/2)*q)\/q)\/(q**(-5)\/q))\/((q\/q**0)\/q**1)) assuming q is positive.\nAnswer: q**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -12. Suppose 0 = 2*k + k. Suppose 0*i - i + 10 = k. Calculate the lowest common multiple of v and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v + 26296 - 3*v + 26686 - 55701 in the form a + f*v and give a.\nAnswer: -2719","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 + x**2 - x. Let o(q) = q**3 - q**2. Let a(m) = -m**3 - 7*m**2 - 53*m - 489. Let k be a(-8). Calculate k*z(h) - o(h).\nAnswer: 2*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 12*x**2 - 52*x + 452. Determine o(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9442127?\nAnswer: 9442127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 333838*m**4 + m + 371883?\nAnswer: 4006056*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1674)\/(-1953))\/(315\/49)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (446*i + 1082*i - 471*i)*(2*i + 0*i - 11*i).\nAnswer: -9513*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151630725 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 21\/(-10))*(-83 - -79). Is o >= -480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -23. Let f = g - -18. What is the third derivative of l**4 - 4*l**4 + 19*l**f - 26*l**2 wrt l?\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4563 (base 9) to base 6\nAnswer: 23350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 10) to base 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 - -5.9. Let q = 1 - b. Sort q, 1, -2\/7.\nAnswer: q, -2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-27) - 82\/(-3). Let o = v - 14. Calculate the remainder when 51 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2\/5 + 118*y\/5 + 244\/5 = 0.\nAnswer: -2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/2 - 15\/3. Let l(b) = 85*b**2 - 4*b + 22. Let t(u) = -2*u - 1. Let x(i) = y*l(i) + 4*t(i). Differentiate x(w) wrt w.\nAnswer: -340*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 50*p - 8. Suppose -21*b + 11*b - 50 = 0. Let i(f) = -f - 1. Let c(j) = b*i(j) - s(j). Find the first derivative of c(g) wrt g.\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8748 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 0*m + 0*m**4 - 2\/3*m**6 + 0*m**3 + 0*m**5 + 2 - 2*m**2. What is the second derivative of f(c) wrt c?\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-4\/11))\/b**(10\/3) assuming b is positive.\nAnswer: b**(-89\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.99 + 16. Let l = 1 + t. Let w = l - -0.53. Round w to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 6) to base 16.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(25) + (sqrt(25) - (4*sqrt(175))\/sqrt(7)))\/sqrt(5).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301330 + 110?\nAnswer: 302100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1328, -5132, -11450, -20264, -31556, -45308, -61502?\n\"Answer: 3*i**3 - 1275*i**2 - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 977*l - 5. Is h(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9372?\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*x + 12. Let m = 8 - 26. Let v be ((-10)\/x)\/(6\/m). Put 3, -1, v in decreasing order.\nAnswer: 3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by -348\nAnswer: -8\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 6:40 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -4*m + 65. Let i be 6\/(-3)*52*(-2)\/(-16). Is i at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65642200*z**4 + 4*z**2 + 10471273*z wrt z?\nAnswer: 1575412800*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*f = -16, -f - 2 = -1. Calculate the remainder when 20 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/1555 and 50\/9.\nAnswer: 13995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 114*u - 2223. Determine i(26).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -172, -193, -222, -259, -304, -357?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1 + sqrt(425)) + (sqrt(425) - (-2 + (sqrt(425) - (sqrt(425) + 0)))) - (-6*2*sqrt(425) + -2 + -5)) + -4)**2.\nAnswer: -70*sqrt(17) + 20826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*m - 16, -4*v - 4*m + 5*m - 4 = 0. Suppose 27*u - 152996 - 230566 = v. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(628\/6)*((-85840)\/888 + 96)\nAnswer: 2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 3\/2*s**2 + 5\/6*s**6 + 0*s**4 + 5 + 0*s**3 + 0*s**5 + 0*s. Find the second derivative of a(g) wrt g.\nAnswer: 100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by (-11 - -1)*(-4)\/5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/160447 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2103 or -1\/4?\nAnswer: -2103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18aa90 + -4?\nAnswer: 18aa8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43, -34, -19, 2, 29, 62?\n\"Answer: 3*b**2 - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 397800 a multiple of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 204234 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t + 2. Let a be g(-3). Let f be (-8)\/10 - 218\/a. Suppose 3*u - 4*i - 226 - 14 = 0, -177 = -2*u - 3*i. What is the highest common factor of f and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 407*m + 289*m - 229*m + 480*m - 180*m as d + g*m and give g.\nAnswer: 767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 17. Suppose -h*z + 4*o + 21 = -23, 0 = -4*z + 4*o + 84. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u**5 - u**4 + 6*u**2 - 6*u - 6. Suppose 30 = 4*k - 14. Let z(c) = -21*c**5 - c**4 + 11*c**2 - 11*c - 11. Let m(p) = k*b(p) - 6*z(p). Factor m(i).\nAnswer: 5*i**4*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**14)\/(q**16\/q) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11*4\/(-4) + 10. Let h be ((-338)\/(-2) - x) + -2. Let f(o) = o**2 + 3*o + 6. Let t be f(-6). What is the greatest common factor of t and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 3*r + 2. Let j(f) = -f + 1. Let i be j(3). Let p be x(i). Solve p*n = n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 less than 137862879342?\nAnswer: 137862879303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -6 + 20 + -4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1386 + -1383. Sort 4, -3, d, -63 in descending order.\nAnswer: 4, d, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 288*g**2 - 292*g = 0.\nAnswer: 0, 73\/72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1943193?\nAnswer: 3, 7, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15990 - -9?\nAnswer: 15999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*g**2*i**4 - g**2 + 9*g*i**5 - 5*g*i - 12*g + i wrt i.\nAnswer: -852*g**2*i**2 + 180*g*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11012 (base 3) in base 8?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f - 4*f + 0*f)*(-f**2 - f**2 + 4*f**2) + 3*f**3 + f**3 - 3*f**3 - 13512*f + 13512*f - 79*f**3.\nAnswer: -74*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five quarters of a millimeter?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 75295, 1 in descending order.\nAnswer: 75295, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-205\nAnswer: -20.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*h - h - h)*(-3 + 2 - 1) + (-5*h + 276 - 276)*(3 + 0 - 5) in the form k + v*h and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -2 + (16 - 20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**2 + 80*n + 256 = 0?\nAnswer: -16, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.22 - -1.77. Round b to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7128)\/(-264)*1\/15.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*-2 - sqrt(77) - sqrt(77) - sqrt(77)*-1*-5)\/(sqrt(42)\/(sqrt(6) + -2*sqrt(6)) + ((sqrt(7) - (sqrt(7) - -1*sqrt(7)))*5 - sqrt(7))).\nAnswer: 11*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/960*-16*26*1.\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -12. Let i = 86 + m. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*m**2 - 22*m**2 + 54*m**2 to c + i*m**2 + l*m and give i.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 120 + 96 = 0. Let h = u + 50. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. Let s = d + -5. Which is the nearest to -2\/5? (a) 0 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/22 + -15\/88. Let k = 1\/15 - -1\/35. Which is the nearest to -9? (a) k (b) l (c) -2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -4*c**7\/105 + c**5\/15 - c**4\/2 + 2*c**3\/3 + 2*c**2 + 21. Find the second derivative of v(z) wrt z.\nAnswer: -96*z**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 13*p**3 - 12*p**2 - 2*p - 5. Let l(z) = -z**3 + 2*z**2 + z - 1. Give i(d) + 6*l(d).\nAnswer: 7*d**3 + 4*d - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 + 350*a**2 + 346*a - 371. Calculate m(-174).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3035 - -3035.2. Let k = -158\/345 - -4\/69. Which is the nearest to -2.2? (a) k (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = w - 0*h - 12113, -h = 3. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23*1\/23)\/(2\/(-6)*1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {q: 3, h: 4, n: 1, e: 2, s: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198*-4.\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 62944309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 + 89. Let o = 0.3 + f. Let r = 9.2999852 - o. What is r rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21483378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 266 and 8?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(58*z - 61*z - 3 + 1)*(0*z**2 - z**2 - z**3 - z**2).\nAnswer: -3*z**4 - 8*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -15, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19190.301 minus -1.45?\nAnswer: 19191.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v - 20. Let i = 42 - 37. Let h be m(i). Suppose -10*j + 7*j + 93 = h. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30209b (base 12) to base 13.\nAnswer: 20353a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1281*m**2 - 32026*m - 27. Determine r(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/5 and 41\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1049\/6227 - -7\/479. Which is the second smallest value? (a) -0.1 (b) 2 (c) -2\/3 (d) v (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273481.\nAnswer: 13, 109, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r + r - 12*r**2 + 3*r**2 + 3*r**3.\nAnswer: 3*r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-576)\/28)\/((-147)\/30184*-88)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2178 is divided by 55.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/24 and -101\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 12:59 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plpe. Give prob of picking 2 e and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*x + 2489 = 0, -5*l + 2*x - 2421 = 3812. Let h = 7866 - 3774. Let v = h + l. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n - 7. Let c(p) = 38*p + 22. Let b(w) = -40*w - 22. Let g(y) = 5*b(y) + 6*c(y). Determine -5*g(z) - 16*q(z).\nAnswer: 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) + sqrt(190) + sqrt(190)*-2 - sqrt(190))*2)\/sqrt(10))**2*1.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2929, 5837, 8745, 11653?\n\"Answer: 2908*w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/223 and -9\/2360.\nAnswer: 526280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1297775 (base 10) to base 8\nAnswer: 4746557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 42 + 101 + 6*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from rrwggwrrgww.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 462\/(-42)*(-16)\/22?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 4 + 4 + 3. Let c be f(9). Let h be (-1)\/1 + c\/(-5). What is the third biggest value in h, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 76368126 + 768126 = 0. Round s to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17026 is divided by 258?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 16*h**2 + 11*h + 9. Let x(g) = 8*g**2 + 6*g + 5. Let w(k) = 6*r(k) - 11*x(k). Let v be w(1). Solve -a = v - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 3*q**2 + 0*q**2)*(4*q**2 - 5*q**2 + 2*q**2) + (-7*q + 14*q + 10*q)*(-2*q**3 - 2*q**3 + 3*q**3).\nAnswer: -13*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - -1) - (-7 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -x - 13*v + 10*v, 4*v - 263 = -5*x. Suppose -4*o + 109 = -x. Calculate the remainder when o is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -474841744.9 rounded to the nearest 1000000?\nAnswer: -475000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74 (base 10) to base 11.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 10. Suppose 49 = p + 64. Give j(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*y**2 - 30 + 8 + 18)*((-2*y + 2*y + 2*y**2)*(-1 + 2 - 3) - 7*y**2 + y**2 + 3*y**2).\nAnswer: -105*y**4 + 28*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssciycycc. Give prob of sequence sscc.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 109*f**2 - 101*f - 979. Calculate x(110).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5125, 18226, 40063, 70636, 109945, 157990, 214771?\n\"Answer: 4368*s**2 - 3*s + 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-8)*(-6 + 12 + -10). Solve f - u*f = -10, -4*f + 23 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 - 19*w**2 + 29*w - 46. What is j(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 6:27 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + y)*((0*y + 3*y - y)*(-y**2 + 0*y**2 + 3*y**2) + 3*y**3 - 33*y**3 - 11*y**3 + (-3*y**2 + 0*y + 0*y)*(0*y + 2*y + 7*y) - 3*y**3 + 5*y**3 - y**3).\nAnswer: -63*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*s**4 - 1325*s**2 - 23*s - 28881?\nAnswer: 8*s**3 - 2650*s - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2468*z + 603*z - 22380 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 136717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -219*v**2\/5 + 108972*v + 29856\/5.\nAnswer: -3*(v - 2488)*(73*v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*u, -3*l = -0*l + 3*u - 165. Suppose 5*s = 2*s + l. Suppose -s = -6*x + 2*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40691, -80836, -120981, -161126?\nAnswer: -201271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 3 - 3*i**4 + 9*i**4 - 7*i**4 + i as v*i**4 + w + k*i**3 + j*i**2 + f*i and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b - 4*b + 0*b - 2)*(27501*b - 27501*b + 35 + 6*b**2) in the form y + g*b**2 + k*b + v*b**3 and give y.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 0. Let q = 9 + a. Let y = 11 + -12. What is the third biggest value in -5\/4, q, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63)\/126*(1 - 1). Suppose 0 = 2*s - 10, u = -2*k - s - 2*s + 1289. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 607 = -3*r, -19 = 4*r - z - 850. Suppose -7*q - r = -6. Let b = q - -109. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15699767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/49?\nAnswer: -6\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(70) + sqrt(70) + sqrt(70)*-3 + sqrt(70)))\/(-3*sqrt(360) - sqrt(360) - sqrt(360)) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/7 - 41856*b\/7 + 218990592\/7 = 0.\nAnswer: 10464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50.29? (a) -157 (b) 5 (c) 2\/15 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -708, -42, 3, -1 in decreasing order.\nAnswer: 3, -1, -42, -708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 58357, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1021*i**4 + 152*i**2*o - 109711*o wrt i?\nAnswer: 4084*i**3 + 304*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1232 + 3?\nAnswer: 1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 5:23 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 plus -123.154679?\nAnswer: -583.154679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28896, 28890, 28884, 28878, 28872, 28866?\nAnswer: 28860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7, -116, -239?\n\"Answer: -123*q + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24848031 is divided by 210.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 27*o**2 + 16*o - 83. Let u be q(26). Let g = u - -347. Let v(z) = -z**2 + 5*z - 2. Determine v(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - 3*n**2 - 5*n + 3. Let r be b(3). Let l(a) = -19*a + 13. Let g be l(-8). Calculate the highest common factor of g and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3040765, 6081531, 9122297?\nAnswer: 12163063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*d - 2*b, -19 = -2*d - 2*d - 5*b. Let h(m) = -14*m - 138. What is the least common multiple of h(-10) and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*t + 119*t + 3*f + 16, 0 = -2*t + 5*f + 30 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74301, -296566, -667027, -1185678, -1852513, -2667526?\nAnswer: -3630711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 334 or 333?\nAnswer: 334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-1 - -1) + -9 - -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 118.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4\/7 - 263*s**3\/7 - 6848*s**2\/7 + 1755380*s\/7 + 34150752\/7 = 0. What is s?\nAnswer: -158, -19, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**6\/3 - 14*r**5\/5 + 9*r**4 - 4*r**3\/3 - 17*r**2 + 18*r + 1713. Find o, given that u(o) = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/((-4)\/(144\/(-9))*23\/(-3))?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5ef (base 16) to base 7.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4 + 10*n**2 + 3*n - n**3 - 9 - 3*n. Let r be y(10). What are the prime factors of r\/(-2) + 5\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (639*a - 291 - 1278*a + 640*a)*(2 + 3*a - 2) to the form l + u*a**2 + x*a and give x.\nAnswer: -873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -970*y + 20. What is the units digit of k(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p + 6*p - 4*p)*(0 + 2 - 4)*(-1 + 0 - 3)*(11 + 23 + 17)*(-3 + 3 - 1) to the form d + g*p and give g.\nAnswer: 408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 + -145. Are m and -9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6471.249 weeks in milliseconds?\nAnswer: 3913811395200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by -7.\nAnswer: -87\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210473 is divided by 42090.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63216 and 1692?\nAnswer: 2971152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(7)*-1)**2 + (sqrt(112) + (sqrt(112) - (sqrt(112) + 0 - sqrt(112))))**2 - ((-2 + sqrt(28) + sqrt(7) - sqrt(7)) + -2)**2.\nAnswer: 16*sqrt(7) + 383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*o - 40 + 84. Let b(k) = k + 6. Let w be b(-3). Suppose -3*n + 6 = 0, -w = 4*a - 2*n - 15. Solve -o = -3*f + y, 2*f - a*y + 2 + 2 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 596 - 582. Solve -b + r = 2*d, 3*b - 7 = d - 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.4 + 2. Let h = 5062 + -5063. What is the fourth biggest value in -0.3, h, z, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 3*r**3 + 403*r**2 - 405*r**2 - 6 + 117*r**3 + 6 as z*r**3 + w*r**2 + t*r + q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10346 is divided by 157?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37823.\nAnswer: 109, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*a + 51*a**5 + 150*a**3 - 4 - 298*a**3 + 149*a**3 + 13*a wrt a?\nAnswer: 1020*a**3 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/11152 and 151\/75888.\nAnswer: 3111408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50845, -203669, -458377, -814969?\nAnswer: -1273445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 11 - 5)*(4 + x**3 - 2 - 3*x**3).\nAnswer: 34*x**3 - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -108.03 (b) -3 (c) -2 (d) 0 (e) -4\/33 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13501903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/60)\/((-12)\/(16 - (-1278)\/(-78)))?\nAnswer: -1\/156","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -983.000571 + 983. Round s to 5 decimal places.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q + 12*q + 3*q + 15*q - 15*q - 9*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1531637544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -246 - -57. What is the remainder when 1\/(-5 + (-948)\/x) is divided by 1\/(-2) - 45\/(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/125)\/((-51)\/(-170)). Sort -0.1, -39, -4, i, 1 in descending order.\nAnswer: 1, -0.1, i, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.57857 rounded to one decimal place?\nAnswer: -27.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 1.4, 5, -12.\nAnswer: -12, -2, 1.4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from {y: 2, f: 3, m: 1, v: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -410 and 0.146.\nAnswer: -409.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13741 + 13741. Sort 29, 1, 4, -4, h in decreasing order.\nAnswer: 29, 4, 1, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -519 less than 1\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -9 - -14 - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*f - 145*f + 6179 + 1983 = 0 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -5, -49, 31 in ascending order.\nAnswer: -49, -5, 0, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3185501 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-209)\/(-722)*-19*2728\/242?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*t + 7, -4*d + 3*t + 8 = -t. Suppose -29 = -h - d. What is the greatest common divisor of 98 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3439403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*(-12)\/(-12))\/((-4)\/4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*g - 3*f, 4*f - f + 14 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*f**5 + 5035*f**4 + 3033663*f**2 + 2 wrt f?\nAnswer: -660*f**2 + 120840*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13616, -13617, -13618, -13619, -13620?\nAnswer: -13621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -3523.\nAnswer: -1\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 18*n**2 - 71*n + 25. Calculate the remainder when w(11) is divided by 59.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 8\/3*g**3 + 3*g - 2 - 1\/4*g**4 + 1\/2*g**2. Let m be x(8). Solve 4*i + 5 + m = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90483 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -834881\/350966 - -1\/47859. Calculate the common denominator of o and -35\/869.\nAnswer: 5214","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578963370 to the power of 1\/2, to the nearest integer?\nAnswer: 24062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23214341333 - 4?\nAnswer: -23214341342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((-6)\/45 - ((-7044)\/180 + 14)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 13100*t**2 + 3 - 4 - 1 + t + 3. Let v be j(-1). Round v to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 + 88 = 29*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 10 = -2*q, -3*q = -2*j - 2*j + 15. Let u(m) = 3*m**3 + m + 1. Determine u(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*v + 8, v - 2*n = 3*v. Let k = v + 43. Let b = k + -2. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsymssy. What is prob of picking 1 s and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*g + 5*l - 1, -3*g + 2*l + 9 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 2 + 12 = 0. Let j = -19.6 + 20. Let x = 0.1 + j. Which is the nearest to -2? (a) x (b) -1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181289 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 116 = 19. Suppose y*x + 10*x = 0. Factor 2\/19*c**4 + 4\/19*c - 2\/19 - 4\/19*c**3 + x*c**2.\nAnswer: 2*(c - 1)**3*(c + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-16 - 13) + 10 + 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22584 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: b\"What is the jth term of -102443, -203439, -302991, -401099, -497763, -592983, -686759?\n\"Answer: 722*j**2 - 103162*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3849*u**4 - 3850*u**4 + 632*u**2 - 2162*u + 1995*u**2 wrt u?\nAnswer: -12*u**2 + 5254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -3542 in ascending order.\nAnswer: -3542, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 2.3. Which is the fourth smallest value? (a) o (b) -2 (c) -0.06 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -724927 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 12*q**3 + q**2 - 3*q + 1. Let m be g(-3). Let h be 2*(-4 + m\/(-10)). Suppose -4*v + 33 = b + 2*b, b = 4*v - h. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from tjsss?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4170 + -846508\/203. Let f(v) = v**2 + 17*v + 31. Let r be f(-15). Is u smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/11 and 51\/121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -1 + (5 + 7 + -7 - 8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*d - 41 = -66 - 55 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.284 + -0.072. Let z = r + -0.112. Which is the closest to z? (a) -3 (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4852984, 4852977, 4852972, 4852969, 4852968, 4852969, 4852972?\nAnswer: 4852977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*c - 406 = -1325, -5*y - 1510 = -4*c. Let m = y - -301. Suppose 28 = 2*a - 34. Solve 0 = -5*x - m*j + a, -3*x + 2*x - 2*j + 9 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23544.94266 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-92)\/(-22) - (-4)\/(-22). Suppose 4 = 2*j, n - 8 = t*j - 3. Let y = -1.336 - -0.336. Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 834729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8366.23 - 7987.8. What is w rounded to the nearest ten?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97.2 + 98.2. Which is the nearest to s? (a) -0.3 (b) -1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13164500 rounded to the nearest one hundred thousand?\nAnswer: 13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = 18*d - 88. Let u(w) = -5*w + 55. Let g be u(d). Solve g = -4*b + 5*y - 32, 3*b - 2*y - 3*y = -29 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 1\/11*f**3 + 1\/33*f**4 - 1\/231*f**7 + 1\/11*f**2 - 2*f + 0 - 1\/55*f**5 - 1\/55*f**6. Factor p(z).\nAnswer: -2*(z - 1)*(z + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**5 + 4*o**2 - 4*o**2 + (-o + o + 2*o**2)*(2*o**3 + 2*o - 2*o) + 2*o**5 - o**3 + o**3 - o**5 + 0*o**5 + 0*o**5)*(1 - 7 + 3)*(-67 + 140 + 56).\nAnswer: -1548*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(410\/136 - 3). Let p = 1909\/7 + n. What is the common denominator of p and 31\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4332273*o - 2578513 wrt o.\nAnswer: -4332273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*g + 24 = 77, -48 = -3*b - 3*g. Suppose -58 = -k + 61. Let w = k - b. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8027 and 0.75297.\nAnswer: 8027.75297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 944\/(-8) + -1 + 0. Let v = m + 1310\/11. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-230)\/92*156\/(-330))\/(7\/77).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 7*r = -2*r, h + 4*r = 17. Suppose t - 2660 = -2*t - h*b, 0 = -4*t - 5*b + 3540. Suppose -4*l = 4*j - t, -j + 3*l + 163 = -41. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10) + 7\/(-30). Let a be 4\/10 - ((-884)\/(-195))\/(-17). What is the closest to 1 in s, -2\/9, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4443 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: Simplify ((z**(-2\/5))**45)**(-15) assuming z is positive.\nAnswer: z**270","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 6) + (-76 - -78)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18 * 0.083\nAnswer: 1.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3377 is divided by 1442.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*y - 36*y - 565*y - 1360*y.\nAnswer: -2240*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 98\/9?\nAnswer: 98\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8237\/574 - -205\/14. Let f = -416\/861 + n. What is the common denominator of f and 31\/24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - ((-6 - -2) + -210 + 182)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -359 - -435. Let l(h) = -h**2 + 13. Calculate the remainder when w is divided by l(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2*l - 5*l)*(3*l**4 - l**4 - 3*l**4 + 2).\nAnswer: l**5 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395 - 395 + 51*o**2 + 9*o**2.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 4. Suppose 0 = s - 6*s - 3*k + z, -5*s + 35 = -3*k. Let p(q) = 2*q - 5. Let g be p(5). Sort 0, g, s in decreasing order.\nAnswer: g, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 35 (c) 104 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 603198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15 = -2*o. Let x(c) = c**2 + c**3 - 1 - 6*c**2 + o*c**2 + 3*c. What is the units digit of x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 528 and 6622473?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*q + 1 - 127 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01779502 - -5787804.01779502. Let a = j - 5787803.3199923. Let l = a + -0.68. Round l to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -29. Suppose z + 14 = t. Solve -5 = z*d - 8*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1023\/155*-5 + 31)*1*12.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-83 - -36)\/(-47))\/(2\/15138)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.85 - -16.024. Let a = -0.074 + k. What is a rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2073\/5, 0.3, 5, -241, -0.5.\nAnswer: -241, -0.5, 0.3, 5, 2073\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - x - 10, 5*w = -2*x + 19. Let d = 8\/13 + -114\/143. Which is the nearest to d? (a) -0.3 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -617\/5 - -123. Which is the third biggest value? (a) m (b) 0.03 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) 9 (c) -7\/187 (d) 7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1764*a**5*c - 5*a**3*c**2 + a**2*c**2 - 111*c**2 + 23 wrt a.\nAnswer: -105840*a**2*c - 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -21*h**2 + 7*h + 444. Let u(d) = 25*d**2 - 5*d - 445. Let o(w) = -5*b(w) - 4*u(w). Factor o(i).\nAnswer: 5*(i - 11)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 4\/9*h**5 + 16\/9*h**3 - 16\/9 - 22\/9*h**4 + 38\/9*h**2 - 20\/9*h = 0.\nAnswer: -1, -1\/2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4171750?\nAnswer: 2, 5, 11, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0522? (a) -4\/3 (b) 4 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -637 - -425. Let w = v - -119. Is w\/(-2) + (-2)\/(-4) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*q - 6 - 38 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 119704205.168.\nAnswer: 119704205.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 - 3*z**2 + 0*z**3 - 3*z**3.\nAnswer: -3*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 16 + 8 + 1)*(r + 2 - 2)*(3*r**2 - r**2 - 4*r**2).\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.1315\nAnswer: 0.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**3 + 2*m**2 - 2*m - 2. Let u be l(-2). Let x = u - -10. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 932726059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7537.048 years to decades.\nAnswer: 753.7048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10*363\nAnswer: -3630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/2 - 1280\/((-5)\/1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 804, 805, 806, 807?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1)**40*h\/(h*h\/(h\/(h*h**(2\/3)))*h)*(h*h**(3\/4))\/h)\/(h**(-1\/2)*h*h**(-7))**(2\/65) assuming h is positive.\nAnswer: h**(2297\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*y = 3 - 255 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*u - 331*f + 326*f + 16 + 3 = 65*u, 3*f = -4*u - 26 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -3*q**3 + 7*q**2 + 4. Let m(u) = u**2 + 1. Let n(a) = g(a) - 4*m(a). Factor n(y).\nAnswer: -3*y**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 9:38 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*l = l, 0 = -4*o + l. Let c = -72 + 70. What is the nearest to -2\/7 in 1, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 532\/22 - 4\/22. Suppose 9*k - 5*k = s. Let a be 0*(k\/9 - 1). Solve a = -r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -145, -214, -283?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21028 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431*k + 7570*k + 10457*k.\nAnswer: 17596*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2382*o - 32 = 4*r + 2388*o, -2*o = -2*r - 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26525 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/35)\/((-2)\/14)*(-440)\/(-80)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*u + 11, 4*w = 2*w - 5*u + 29. Suppose 12 = -3*r + 7*r. Solve w*k + l = 4*l - 13, 3*l - 3 = -r*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2 - 1 + 5 - 6*r + r**2. Let j = -1003 + 1007. What is the smallest common multiple of j and p(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5. Solve 0 = w*k + 5*r + 10, -3*r - 2*r - 10 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-174)\/116*(-4)\/3. Suppose -5*v - r + 4967 = 194, q*r = -4. Calculate the remainder when v is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 6 - 0. Solve j = -m + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 556, 501, 406, 265, 72, -179, -494, -879?\nAnswer: -1340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a meter in millimeters?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196202330?\nAnswer: 2, 5, 19620233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*w + 61, 5 + 8 = -2*j + 3*w. Let y = 14 + j. Let q(c) = -5*c - 13 - y*c + 0*c + 7*c. Calculate q(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.53115 months?\nAnswer: 0.005442625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8317 + -3467. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 * -2.7\nAnswer: 40.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*r - 6*r - 2091 = 1718 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*l**4*n - 8*l**4 - 3*l**2 + 82*l*n - l - 4*n wrt l?\nAnswer: 660*l**2*n - 96*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 99, 201, 301, 399?\n\"Answer: -b**2 + 105*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016846 is divided by 559?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -2*h**3\/39 - 40*h**2\/13 - 6*h + 11. Factor w(q).\nAnswer: -2*(q + 1)*(q + 39)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2358\/8 + (-6)\/(-24)?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -20*l**8\/21 - 5*l**4\/12 + 4*l**3\/3 + 11*l**2 - 5. Find the second derivative of h(q) wrt q.\nAnswer: -6400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + 33?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/20*12)\/(2\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67640 and 2384310?\nAnswer: 9537240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69309*k**4 + k**3 + 498788*k?\nAnswer: -831708*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3976 and 2130?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -1. Let p = 3.69 + -2.89. What is the third smallest value in v, p, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 61 + 40 = -41 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1152)*-1*2)\/(-2*-2*sqrt(18)\/sqrt(2)*5).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 12, i: 7}. Give prob of sequence ff.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 take away 114?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2414*p - 2448*p = 714 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 35 = 1. Suppose 2*s - 3 = -j, -2*j + 0*j + 2*s + i = 0. Let y(o) = 2*o**2 + 2*o + 1. Let f be y(2). Solve -v - f = -3*d - j, -4*d = 4*v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 4*v**3\/3 + v**2\/2 + 3*v. Let f be o(9). Suppose -4*x - 25 = -f. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 74. Calculate the least common multiple of p and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25110)\/(-248) - 100)\/(165\/(-648)).\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d + 105. Let b be o(34). Put 2, b, 1, -5 in decreasing order.\nAnswer: b, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/14*48720\/5278.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r - 631. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10285\/12 + -2620\/3. Let c be 18792\/5 + -1 + (-72)\/180. Let f = c - 37611\/10. Calculate the common denominator of f and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 247, 241, 233, 223, 211, 197, 181?\n\"Answer: -y**2 - 3*y + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -454 - 7942?\nAnswer: -8296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -655558.7 - -0.5\nAnswer: -655558.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-561)\/66 + 1490\/180.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-6))\/(-5*4\/90)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/8 of a century?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 44 = -r. Suppose 7 = -2*o + t + 18, -5*o = -4*t - 23. Let x = r - o. Solve -x*c + 0*y = y - 17, y - 11 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + -15. Let x = -43 - d. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3649178 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/12 + 20\/6. Let h(i) = -51*i - 8*i**2 - 26 + 39*i + 7*i**2. Let v be h(-2). Put s, v, 4 in ascending order.\nAnswer: v, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 + -0.34. Let x = -72.31 - -73. Let f = x - 0.89. Which is the third biggest value? (a) p (b) 0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100220110122001 (base 3) to base 4\nAnswer: 110011102321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -74640385148 from 0.048.\nAnswer: 74640385148.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -34. Let v(b) = -8*b + n - b + 5*b. Let l(w) = -w + 4. Let p(y) = 8*l(y) - 3*v(y). What is p(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -514*s + 126*s + 242*s in the form m + o*s and give o.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7621105.\nAnswer: 5, 43, 35447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 37*p**7\/105 - 3*p**6\/20 + 1895*p**3\/2 + 3035*p**2. Differentiate b(z) with respect to z.\nAnswer: 296*z**3 - 54*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101111010101000110110 (base 2) to base 6\nAnswer: -440031114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.62 + -0.38. Which is the closest to -1? (a) 0.5 (b) -0.04 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*l - 14, -l - 2*l = 5*b - 35. Suppose -8 - 97 = -l*y. Let u = -8 + y. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = j - 19, 5*j - 134 = -c. Calculate the common denominator of (2\/14)\/(18\/(-777)) and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**2 + 2*v**2 - 4*v**2 in the form n + g*v**2 + t*v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 576696458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1435, 1373, 1219, 931, 467, -215?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - 2*p**2 - 2 - 27700*p**3 + 0*p**4 + 4*p**4 + 27572*p**3 + 0*p**2 + 1 to j*p**3 + k*p + m*p**2 + o*p**4 + d and give j.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102011 + -122?\nAnswer: 2101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10347041\/9 - 1149671. Let -v*t**2 - 2 + 4\/3*t = 0. Calculate t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -85\/11823?\nAnswer: -85\/11823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-1) + 4 + 1. Let b(c) = c + 3. Let v be b(0). Suppose -2*z - 2*t - v*t = 0, 3*t = 4*z - 52. Solve 2 = p*g - z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4182253m to millimeters.\nAnswer: 418.2253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (56\/(-63))\/2 + 436\/9. What is the greatest common factor of z and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(6)*-1 - sqrt(6)) - sqrt(189)\/(sqrt(36)\/sqrt(4)))\/((sqrt(112) - (sqrt(441)\/sqrt(7) - sqrt(7)))*-3).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9189859 at most -9189859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9794685 litres to millilitres.\nAnswer: 979.4685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1604 - 1598 = 5*k - 3242 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**5\/10 - 29*n**4\/12 - 31*n**3\/6 + 332*n. Suppose u(g) = 0. Calculate g.\nAnswer: -1, 0, 31\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 3:43 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/2 + (-238)\/(-255)*6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)\/z)**(-50)\/((z*z*z\/(z**(2\/15)\/z*z))\/(z\/z**(-2)*z)) assuming z is positive.\nAnswer: z**(1517\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*y = -247*y + 5906 + 122 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*y + 94*y - 845 = 196*y + 1913 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001101001001 (base 2) to base 3.\nAnswer: 200000021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p - 19 = 2*j, -2*j - 13 = 3*p. Which is bigger: j or -6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 9:13 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -649711, -649929, -650145, -650359, -650571, -650781?\nAnswer: -650989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + c - 139, 0 = -4*x + 5*x + 3*c - 25. Suppose 0*s - x = -s. Suppose -4*k = 4*t - s, 2*k + t = 4*k + 1. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**3\/6 - 15*b**2\/2 + 3416*b. Let p(f) = -f**2 - 9*f. Let a be p(-9). Give t(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 116 = -0*w. Suppose -4*h + h = -30. Calculate the remainder when w is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 - -64. Let x = 25 + q. Solve 5*y = 4*j - x, 0*j + 20 = -5*j - 5*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1291*i*s**3 - 3635*i wrt s?\nAnswer: -3873*i*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 2. Let i be ((-3)\/(-8))\/((-8)\/(-64)). Let y(f) = f**2 + 9. Let w(t) = -3. Let k(h) = i*w(h) + y(h). Give -d(u) - 5*k(u).\nAnswer: -7*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.14 (b) 0.5 (c) 0.04 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 561 + -484. What is the second derivative of i*u**2 - 146*u - 30*u**2 + 19*u**2 + 36*u**2 wrt u?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 17 = -44. Solve 5*i + 2 = -3*z, -5 + r = 2*z + 3*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -13*i**3 - 17*i - 8 + 5*i - 1107*i**2 + 1100*i**2. Let f(s) = -10*s**3 - 7*s**2 - 11*s - 8. Let c(j) = -4*f(j) + 3*q(j). Calculate c(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 6*f + 25, 0 = i - f - 7. Let q(r) = -r - 4. Let c be q(-7). Suppose -y + c = -3*v + 17, 0 = -i*v + 3*y + 7. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 599045420?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81525.\nAnswer: 3, 5, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.9 - -31.9. Put -5, y, -1\/4 in ascending order.\nAnswer: y, -5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.25351412.\nAnswer: -0.025351412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10*1555\/(-5598). Determine o, given that -a*o**3 + 8\/9*o - 4\/3 + 1\/9*o**2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285 + 279 + 3041*w - 3052*w - 564.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, a: 1, e: 1, u: 2, r: 1, q: 1}. What is prob of picking 1 e, 1 v, and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 30*p - 665. What is i(22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 12*j + 13. Let t be l(-19). Let c = 156 - t. Solve 0 = -4*g - c + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from xuumumsxs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19365235 and 350672.\nAnswer: 3131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1657118?\nAnswer: 2, 29, 28571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5184.5 - -5184. Which is the third smallest value? (a) -1\/6 (b) -9\/8 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -41*m**5\/120 - 3*m**4\/8 - 5*m**3\/3 + 3*m. Let o(b) be the second derivative of x(b). Is o(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o**2 + 2*o + 2. Let r be f(-1). Suppose 4*j + 19 = -3*v, 3*v + r = -2*j - 0*j. What is the tens digit of 0 - ((v - -1) + -47)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -10, -76 in increasing order.\nAnswer: -76, -10, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68406896 by 2.\nAnswer: 34203448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + c + 2*c - 2*c)*(2*c**4 + 0*c**4 - 5*c**4).\nAnswer: -3*c**5 - 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 115243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjbjb. Give prob of sequence jjjb.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -0.23, 2\/11, 38, -25 in ascending order.\nAnswer: -25, -9, -0.23, 2\/11, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/114*21\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(1 - -4)\/(-30). Let u be 1\/3 - 1\/12. What is the smallest value in n, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1 + 6 = 0. What is the tens digit of c + -1 + -1 + 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29284 divided by -1614.\nAnswer: 14642\/807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6662 is divided by 3330.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(2\/11)\/c))\/c**11)**(-9\/7)*((c\/(c*c*c\/(c*(c\/((c*c*c\/c**1)\/c*c))\/c*c)*c))**(19\/4))**(-3\/2) assuming c is positive.\nAnswer: c**(19647\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (sqrt(175) + -1*sqrt(175)))*-3*-1*4.\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-10) + (-2)\/10. Let i be -1*((x - -5) + -5). Solve i*l - 20 = 6*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025831 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 11*v = 382. Let u = -159 + v. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6525 and 8934900?\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1418 divide 12599131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3164 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 5*p - 2. Let g be n(5). Let l be g\/(-6)*(-1 - -7). Solve -l*z - 1 = 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1675648661 to the nearest integer?\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -472c (base 15) to base 10\nAnswer: -15117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/3 at most as big as -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 414 and 2199654?\nAnswer: 50592042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-69) - 32180\/(-14352)) + -2 + 320\/156\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263774098 less than -0.09?\nAnswer: -263774098.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = 4*p - 4057*x + 4053*x, p + 180*x = 304 for p.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/3, 3\/2, 12656, -5, 24 in ascending order.\nAnswer: -5, -3, -2\/3, 3\/2, 24, 12656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000053549836 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**2 + 4*v. Suppose 0 = 3*j + 4*j + 133. Let i = j - -13. Let u(p) = -4*p**2 - 2*p. Calculate i*o(k) - 11*u(k).\nAnswer: 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*p + 202*p = 8. Suppose 12*d - p*d - 40 = 0. Solve -4*t = 28 - 8, 5*r + d = -5*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (53 - (42 - (16 - 1))) + -40\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/2)\/(6\/8). Suppose c = 10 - a. Suppose -t + 10 = 2*m + t, 4*t = 4*m - 4. Calculate the remainder when c is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19866 and 2242966?\nAnswer: 47102286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -40951296 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 7*k + 440. Let c = -86 + k. List the prime factors of (2 + -1)*((-274)\/(-2) + c).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 - -217. Is t 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 4 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/18 + 106\/9. Suppose 3*p + 0*p = t. What is the second derivative of -p*j + 0*j**3 + 6*j + 3*j**3 wrt j?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(152)\/sqrt(72) - (sqrt(304) + 0)**2).\nAnswer: -1520 + 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 12*x - 80 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 + -10 + -29 + 29. Let d = -96 - -863\/9. What is the fourth smallest value in d, -0.2, v, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.258.\nAnswer: -0.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - r + 15. Let l(b) be the first derivative of -3*b - 3*b**2 - b**r - b + 3 + b. Factor l(x).\nAnswer: -3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqllqlqllqt. Give prob of sequence lqq.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -20*d + 13856. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5345273 + 5345272.70000004. Let m = u + 0.3. What is m rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003120 (base 4) in base 16?\nAnswer: -10d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7784.542um to meters.\nAnswer: 0.007784542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.69*-1754.\nAnswer: -4718.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358232721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210 + -377\/2. Let z(a) = a**2 - 6*a + 2. Let b be z(2). What is the common denominator of (-71)\/18 + (-2 - 16\/b) and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 258 + -46. Find the second derivative of 0*j**2 - 15*j**2 + c - 212 + 15*j wrt j.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -135*l - 256. Determine g(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-10))\/(36\/312). Let c(v) = v**3 + 13*v**2 + 9. Determine c(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 81 = -84. Let h be 0\/(1 + -2 - 0). Solve 4*u + 0*c = c - d, u - c = h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - ((-1334354)\/(0 - -2))\/(80\/(-1040)). What is v rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifbifibbfibfbbfibb. What is prob of sequence ib?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 46 - 6 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, i: 1, j: 2, h: 1, m: 1, u: 1}. Give prob of picking 2 a and 1 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 217, 426, 641, 868, 1113, 1382?\n\"Answer: r**3 - 3*r**2 + 211*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 7*u + 84. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (2*2*sqrt(133) - sqrt(133) - sqrt(133)))\/sqrt(112).\nAnswer: -sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:31 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 2*k**3 - k**2 - 3 - 2*k**2 + k**3 + 4*k. Let d be w(-4). Solve -4*l - 4*n = -n - 31, 3*l + d = 5*n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10865 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 + 13*y + 7. Let v be l(7). Which is smaller: v or 1\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 366, 732, 1098, 1464, 1830, 2196?\nAnswer: 2562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 - -129. Let s = i + -38. Solve 2*n - 2*k - s = 0, 0*k + 5 = -k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 51. Suppose c*v = -i + 47, -i + 2*v - 6*v = -46. What is the least common multiple of 27 and i?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*p - 32*p. Suppose -3*z - 2*z + 2*z = p. Suppose -3 = -z*u - u. Solve -14 = -u*a + 5*k, 2*a + 3*k - 1 = 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 10*x**2 + 7. Let l be w(-10). Let b = l - 8. Which is smaller: b or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -10 + -23 + -2 + (-1 - -1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4\/11, 0.05, 0.2, -5, -4 in descending order.\nAnswer: 16, 0.2, 0.05, -4\/11, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -8966.\nAnswer: -3\/8966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3716649, -3716668, -3716687?\nAnswer: -3716706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1856 = 2846*y - 2910*y for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - s + 1. Let t(c) = -51*c**3 + 14*c**2 + 3*c - 3. What is -t(j) - 3*x(j)?\nAnswer: 51*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 12 = 0, -g + 24 = -4*g + 729*o - 733*o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(6))\/(-1*sqrt(12)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 8*i**2 + 8*i + 13. Let k(p) = 10*p**2 + 50*p + 9. Let m be k(-5). Give t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o*o**(1\/3)))\/o)\/o)\/o**(1\/5))**(-43) assuming o is positive.\nAnswer: o**(1634\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -21*r**3 - 16*r**2 - 22*r + 75. List the prime factors of b(-9).\nAnswer: 2, 3, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3976529 is divided by 750.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -12. Let t = p + -3. What is d in 0 - 1\/3*d**t - 1\/3*d + 2\/3*d**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 72102076, 72102075, 72102074, 72102073?\n\"Answer: -s + 72102077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01263 rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201514 (base 8) to base 5.\nAnswer: -4111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943847123.\nAnswer: 17, 3265907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(209)*-2 + sqrt(209) + sqrt(209) + sqrt(209))\/(sqrt(176) - sqrt(176)*-3)*-6.\nAnswer: -3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -10. Suppose -3*h + 6 = 3*m, 2*m + 4*h = h + 1. Suppose 3*f = 6*f - a - 49, m*a = -3*f + 61. What is the remainder when f is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4478 + -4478.1. Let v = -1.3 + 0.3. Which is the nearest to v? (a) 3 (b) 3\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2378843*g**2. Let r(n) = -5*n**2. Give j(r(i)).\nAnswer: -59471075*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**5\/420 + r**4\/84 + r**3\/14 + r**2 - 5*r. Let q(b) be the first derivative of c(b). What is x in q(x) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpeeeeeeevepeppe. Give prob of sequence pv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 1. Let n(k) = -10*k**3 - 2*k**2 - 25*k - 16. Let j(x) = -7*x**3 - x**2 - 16*x - 11. Let c(t) = 7*j(t) - 5*n(t). What is c(b) + 3*f(b)?\nAnswer: b**3 + 13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2852, 11387, 25596, 45473, 71012?\nAnswer: 102207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 396 + 1 + 0 + -2. Suppose 0*k + 5*k - s = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6760801 to the nearest ten thousand.\nAnswer: -6760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 688 - 223. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.93 take away 5890.3669829?\nAnswer: -5967.2969829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/68, -0.5, 5, 0.6, -1\/8, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -233 + 240. Let x(b) = 2*b**3 - 4*b**2 - 4*b + 12. Let t(o) = -2*o**3 + 5*o**2 + 3*o - 13. Let n(l) = 5*t(l) + 6*x(l). Is n(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 9) to base 4\nAnswer: 23203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 4:49 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248703067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8*f = -78 + 46, 23 = -q + 5*f. Suppose -2*a = -a - 24. Suppose 0*h - 4*h = -a. Calculate the highest common divisor of q and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*u**3 - 112*u**3 + 11*u**4 - 27*u**4 - u + 14*u**4 + 1 - 58*u**2 to s*u**3 + j*u**4 + r + l*u + t*u**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -5*x - 25, a - 3*x + 5 - 20 = 0. Suppose -2*v + 0 + 24 = a. Let l be (63\/(-27))\/((-1)\/v). What is the highest common divisor of 196 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**3 - 23*b**2 - 9*b - 3. Give k(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 114*k - 373. Calculate s(-56).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111846 is divided by 106533?\nAnswer: 5313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2476*l**2 - 47*l**2 - 2431*l**2 - 174.\nAnswer: -2*l**2 - 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kehk when four letters picked without replacement from kkdkrhekkddukkdkhkkk.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 11*q - 5. Calculate i(16).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -58 (c) -4 (d) -0.1 (e) 2\/7 (f) -9 (g) -124\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079 - 125493?\nAnswer: -125493.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**2 - 3*f - 2. Let h be m(-1). Suppose 0 = -w - 2*w + 45. Calculate the remainder when 86 + h + w\/5 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*x = 0. Suppose c = -x*c + 4. Let u be 0 + (-117)\/30*1 + (-97)\/970. Sort -5, c, 2, u in decreasing order.\nAnswer: c, 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 13 + (-16 - -9) - (-2 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**4\/24 - 3*k**2\/2 + 2. Let y(p) be the second derivative of d(p). Let n(c) = 0*c**2 + c**2 + 0*c**2. Determine n(y(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32515 is divided by 6493.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-237)\/(-790)*(-1)\/(-6)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.5 and -0.0486?\nAnswer: 1.5486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 28. Let w be 1334\/d + (-2)\/7. Calculate the highest common divisor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86\/3 - -29. Let m = 650 - 650.4. Let x = 4 - 8. What is the biggest value in b, m, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 9. Let n(g) = -g + 4. Let c be n(-4). Suppose -4*h = 5*z - 13, z + c = -h - 4*z. Let x be r(h). Put 0, x, 4 in descending order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1320*d**3*v**3 + 28*d**3 - 2*d**2*v + 14*d*v**2 - v**6 wrt v?\nAnswer: -7920*d**3 - 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/4 - 523*j\/2 - 36270 = 0.\nAnswer: -124, 1170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-1))\/14*3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81680000 rounded to the nearest one million?\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -114 * -0.1.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 394*w**3 + 624*w**2 wrt w?\nAnswer: 2364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40124315.\nAnswer: 5, 7, 11, 89, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 18564433.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 326426 and 2644?\nAnswer: 431535172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 290331186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + 1.98. Let a = -2.1 + k. Let u = -167\/4 + 42. Put 0.3, u, a in decreasing order.\nAnswer: 0.3, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3168 and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-14 - (6 - 14) - -25)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 51. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132 or -134?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = -105 + 287. Calculate the remainder when 72 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**4 + d**3 + d**2 - 1. Let l(m) = 5*m**3 - 2. Let h(j) = -2*l(j) + 4*z(j). Factor h(t).\nAnswer: -2*t**2*(t + 2)*(2*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*w + 18, 20*w = 16*w + r + 13. Suppose 4*j = 4*x - 16, -2*x - w*j - 3*j + 8 = 0. Sort x, -2, -1, -28 in descending order.\nAnswer: x, -1, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50134, -50130, -50132, -50146, -50178, -50234, -50320, -50442?\n\"Answer: -t**3 + 3*t**2 + 2*t - 50138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/8*140\/70\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 161184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*3*1*(1*sqrt(76) + -2)*-2)**2 + -1)*5.\nAnswer: -36000*sqrt(19) + 359995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 68*z. Let l(n) = -2*n**2. Determine l(k(u)).\nAnswer: -9248*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Find h such that -15*h + 19*h + 4 + 2*h**d - 10 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12976, -12972, -12968, -12964, -12960, -12956?\nAnswer: -12952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 13. What is q(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 13. Let h = -0.28 + -0.02. What is the second biggest value in n, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 3:20 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5*-72.4\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + j + 6. Let y be o(0). Let s = -13 + y. What is the units digit of (-158)\/(-14) + 2\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2104*i**5*k**2 + i**2 - 1660*k**2 wrt i.\nAnswer: -126240*i**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 1)*(-2 + 5 - 2)*(-47 + 92 - 46 - 65*c) to the form q + i*c and give i.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 v when three letters picked without replacement from hhhvhhvhh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2432) - (1*sqrt(2432) - sqrt(2432))) + sqrt(2432) - sqrt(2432))\/(sqrt(6)\/sqrt(108)).\nAnswer: 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89ec6 (base 15) in base 2?\nAnswer: 1101011000110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 4:02 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -31. Let o be (-2)\/h + (-215)\/(-45). Solve 0 = -2*p - 2*c - 2, o*p + 4 = 3*p - c for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s**3 - 5*s - 10. Suppose 0 = -3*x + 8*x - 25. Let o(h) = 4*h**3 - 3*h - 5. Let b(i) = x*o(i) - 3*f(i). Find the first derivative of b(l) wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -14. Suppose 4*y - p = -y. Suppose -5*f**2 - 2*f**3 + 4*f**2 - 3*f**2 - f**4 + y*f**2 = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/(15\/(-90))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2. Let g(w) = 9641*w**2. Calculate g(c(a)).\nAnswer: 86769*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 3*f**3 + 15*f**2\/2 - 3*f + 7972. Let g(x) = 2*x**2 - 4*x**2 + 1 + 0 - 2*x**2 - 7*x. Give 5*g(i) + 2*k(i).\nAnswer: -2*i**2 - 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 174748856 to the power of 1\/2, to the nearest integer?\nAnswer: 13219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(224)*4 + sqrt(224))\/sqrt(7) - (3 + sqrt(32) + 1)))**2.\nAnswer: -4608*sqrt(2) + 19008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a millimeter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 - 30*q - 39. Let x be y(-8). Differentiate x*s**2 - 8*s**2 + 116 + 43 - s**2 + 4*s + s**2 wrt s.\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -15660?\nAnswer: 15663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -2.8. Let x = 2.02 - n. Let p = x - 0.019976. Round p to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.99972ml to litres.\nAnswer: 0.00399972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2970255133 to the nearest integer?\nAnswer: 1437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -382.77 - -382.6. Let g = 0.03 + -0.53. Which is the third smallest value? (a) g (b) 2\/3 (c) -5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -220, -862, -1932, -3430, -5356, -7710?\n\"Answer: -214*w**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 27*s**2 - 7*s + 118. Determine k(27).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0*n**3 - 2 - 6*n**3.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -309 - -305. Let h be b + 7 - (0\/1 - 7). Solve -12 = n - h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*d + 1394*d + 917*d + 2.\nAnswer: 2429*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3144, -6258, -9334, -12354, -15300?\nAnswer: -18154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 divided by 539?\nAnswer: 457\/539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 6. Determine u(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1))**49)**(11\/6))**41 assuming h is positive.\nAnswer: h**(-22099\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 3*i + 1. Let z be f(1). Is (3 - 6) + (z - -3112) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375236169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**3\/3 - 9*z**2\/2 + 3*z - 1. Determine j(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-1)\/6*1. Let s be 60\/45*6\/4. Let q be 6\/s - (-5)\/(10\/(-8)). Which is greater: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-14) + (-4408)\/(-1197) + 3\/(-27)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 9*f - 12*f + 1, -2 = 2*f + 2*k. What is the fourth smallest value in -0.21, -5, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -98, -189, -280, -371, -462?\n\"Answer: -91*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690724229 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/800)\/(102\/170)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 5*r**2 - 3. Suppose 2*w - 3*j + 14 = -0*w, -w + 4 = 4*j. Calculate the remainder when y(w) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4*sqrt(153) - sqrt(153)))\/(sqrt(18)\/sqrt(2)*3) + (-4*sqrt(51)*3)\/(sqrt(3)*-4*1).\nAnswer: 19*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l + 19*l - 21 = 10*w, -2*l = -4*w - 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -306, -303, -298, -291, -282, -271, -258?\n\"Answer: z**2 - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (0 - (10 - 1 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1001 - -881. Let c be 8\/(-10) + (-6)\/(n\/76). Factor -1\/2*p**2 - c*p + 0.\nAnswer: -p*(p + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -6. Suppose 2*j = -3*l + 4, h*j = 32 - 7. Let z(r) be the second derivative of -r**3\/3 - r**2\/2 - 2*r. What is z(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from ncwcjrx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from znxzvvfvznnvffv.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3 (b) 3 (c) -13 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 326, 1162, 2548, 4490, 6994?\n\"Answer: l**3 + 269*l**2 + 22*l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-3) + 29\/(-3). Suppose -178 = -7*c + 11. Let n(b) = -c*b**2 - 3*b**3 + 9 + 4*b**3 - 2*b**3 + 10*b + 19*b**2. Calculate n(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -258092, -257747, -257402, -257057?\n\"Answer: 345*m - 258437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 5:47 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -t, 35 = 3*p - 4*t + 6*t. Let c be (-6)\/(-2) - (0 + (-16)\/2). Solve 5*u + 3*a + c = -0*a, -3*a + p = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 323834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1321, -2643, -3965, -5287, -6609?\n\"Answer: -1322*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 18639 = -18641 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3196 by -2.\nAnswer: -1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/(-9) - 3)\/((-1)\/195). Let y = 70 - u. Calculate the lowest common multiple of 9 and (-8)\/y*60\/(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 30*v + 19*v to the form h*v + u and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13316 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: Suppose -4*h + h + 10 = c, 5*c = 5*h + 10. Solve -c*y = -y - 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8. Suppose 14 + 12 = 3*h + c*l, 4*l = 16. Let k be (-1)\/(((-6)\/21)\/h). Round k to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 - -49. What is the nearest to -6 in -0.1, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-120)*-10*(-3)\/96. Sort a, 0.03, 2.3, -1 in ascending order.\nAnswer: -1, 0.03, a, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(76)*4 - (sqrt(19)*-2 + -3))**2.\nAnswer: 66*sqrt(19) + 2308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, r: 1, j: 1, w: 1, l: 2}. What is prob of picking 1 j and 1 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 4*y**2 - 58270*y + 58270*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8712 = -27*m - 8928 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(51) + (sqrt(561)*-4)\/sqrt(11))\/((sqrt(72)\/sqrt(4))\/sqrt(6)).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7202 by 29.\nAnswer: -7202\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3573 - 0.552?\nAnswer: 3572.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 11:37 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 8 = 4*q, g = 5*g + 5*q + 10. Let t = 4 - 8. Sort -5, g, t in ascending order.\nAnswer: -5, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-1\/8)\/s)\/s)\/(s*s*s**(-3\/8)*s*s*s))**50)**(1\/14) assuming s is positive.\nAnswer: s**(-675\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.787 - -0.213. Let r = -0.112 - 0.288. What is the closest to 1 in -5, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -209351\nAnswer: 209350.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -77*n**3 + 5*n**2 + 4*n - 9. Is p(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 53*s - 53. Let v(i) = -372*i + 363. Calculate 15*g(z) + 2*v(z).\nAnswer: 51*z - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(-2)*b*b))\/(((((b**36\/b)\/b)\/b*b)\/b)\/b))\/(b\/b**4)**(9\/7) assuming b is positive.\nAnswer: b**(-204\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 0 + 28*r + 41\/21*r**4 - 72\/7*r**2 + 76\/7*r**3 + 1\/10*r**5. Determine g, given that q(g) = 0.\nAnswer: -6, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52.4755 - -452630053.\nAnswer: 452630105.4755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -8981?\nAnswer: -8981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12703758 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3959*q*t**2 + 33425*q - 2*t**2 - 8*t wrt t?\nAnswer: 7918*q*t - 4*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*d = 31, -4*r + 20*d = 15*d - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + sqrt(810)*-2)\/sqrt(5).\nAnswer: -17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29 - 1150?\nAnswer: -1179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 1308.\nAnswer: 17\/1308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -173*k + 171*k + 58538. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**5\/7 + 2*x**4 + 25*x**3\/7 + 12*x**2\/7 = 0.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2007699 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 10 = 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 137838.1 rounded to the nearest one thousand?\nAnswer: 138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 441 and 6468?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -32, -61, -108, -179?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202111 + -110?\nAnswer: -2202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -19. Let a = i + 13. Is (34*-2)\/(a + 4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 9*w**2 + 18*w - 65. Suppose -3*t + 174 = -3*l, 5*t - 2*l = l + 290. Calculate the remainder when t is divided by x(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 + 1064*m**2\/3 - 4220*m + 12624.\nAnswer: -(m - 1052)*(m - 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(600)\/(2*sqrt(192))*-6)\/(sqrt(50)\/((sqrt(875) + sqrt(35))\/sqrt(7))*-5))**2.\nAnswer: 81\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-47)\/1)\/((-2)\/(-16)*4). Let b = 97 + o. Sort -24, 0, b, 4.\nAnswer: -24, 0, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(1 + 0 + 0)*(-23*d**2 - 349*d + 349*d).\nAnswer: -46*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134.746*631.\nAnswer: 85024.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 9*g - 44 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -40*h + 226. Let q be z(-18). Calculate the highest common divisor of 22 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 87.0599 centuries?\nAnswer: 104471.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a day in minutes?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 18496.78 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 15625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 4. Let x be 2\/3 + (-23)\/3. Let t = -6 - -8. Let f(j) = 0 + 9 + 0 - t*j. What is x*y(p) - 3*f(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let q be b(-3). Let y(l) = -3*l + 3 - 14 + 7 + 1. Give y(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -55*g**3 - 8*g**2 + 2*g - 5. Let w be o(-7). Let q = 95179 - w. Suppose -6725 + q = -5*s. What is s rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5984\/33 + 4\/6. Suppose h = -5*l - 238. Is 290\/14 - 24\/l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243 times -18596?\nAnswer: -41710828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4025, -8057, -12103, -16169, -20261, -24385, -28547, -32753?\n\"Answer: -m**3 - m**2 - 4022*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1300))*4 - (-3 + -3*sqrt(1300) + sqrt(1300)) - ((sqrt(1300) + 0)*-3 - (sqrt(1300) - (-1 + sqrt(1300)))*-2)**2*2.\nAnswer: -23409 + 300*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 89994, -2\/9, -0.5, 1, -0.02, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 d when three letters picked without replacement from xxxxdddxdxdxdxddxxxd?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from nznnerzezkpn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1085*j**4*k**3 - j**4*k - 7*j**4 + 6*j**2*k**3 + 8977*j**2*k**2 wrt j?\nAnswer: 26040*j*k**3 - 24*j*k - 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5186, -10734, -16648, -22934, -29598?\nAnswer: -36646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 25, -1786, 20.\nAnswer: -1786, 20, 25, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.85448 or 0?\nAnswer: -1.85448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -l + 22, 4*l - c = 3 + 1. Suppose -l*i + a = -6*i + 17, 0 = 4*i - 2*a - 2. Suppose -3 = -2*q + i*q. Let f(k) = k**2 + 5*k + 1. Give f(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5*z = 94, 28 + 12 = -2*m + z. Let t = 25 + m. Suppose -3*r - 376 = -5*k - 2*r, 0 = r - t. What is the least common multiple of 12 and k?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/50 and 13\/60?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdqqvbtsqqsbq. What is prob of picking 1 d, 2 b, and 1 q?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.47 and 4054851244.\nAnswer: 4054851243.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 80, 169, 258?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 165, -0.4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -17\/304986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11441 is divided by 108.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 651 - 381 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73279398 is divided by 108.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, k: 8}. What is prob of picking 3 k and 1 n?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -1578e?\nAnswer: 1578a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 246 + -254. Let j = l - -354. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07493402 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 3*s**2 + 3*s - 1. Let p be b(3). Let z be -1 + 2 - p\/(-4). Solve -4 - 5 = -z*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6487463096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 11680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1121908354 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 464 divide 440088396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 - (-25 - -38) - (4 + 5).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 1253320630?\nAnswer: -1253320630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 21*k**2 - k + 6. Give v(-19).\nAnswer: -697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y**3 - 4*y - 3. Let q be t(-3). Calculate the remainder when 1 + 3 + -4 - q is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*d - 65. Let g be (18\/d - 1) + 2. What is the third biggest value in -3, 0.2, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*y + 42, 2*c - y = -c + 39. Solve -3*i = i - c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1274\/16)\/(-49)*(2\/3)\/((-3)\/(-9))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -354676127 + -1?\nAnswer: -354676128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4802 (base 9) to base 3\nAnswer: 11220002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 500 - 498. Let g be (-52)\/84*3 + f + 0. What is the nearest to -2.5 in g, -2\/5, -6\/5, -0.3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.142 + -0.858. What is the nearest to b in -2\/5, 2, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76943 divided by 4\nAnswer: -76943\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/7 + 185811*w**2\/7 + 2877051069*w\/7 - 2877236883\/7.\nAnswer: 3*(w - 1)*(w + 30969)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*i - 102*i = 3. Suppose 13 = 5*w - 2*w - b, 5*b = -5*w + 35. Put w, i, -3 in descending order.\nAnswer: w, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 327 + -262. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 - f**2 - 3*f**2 + (0*f - f + 2*f)*(-f + 3*f + 0*f))*(-2432 - 885 - 622).\nAnswer: -3939*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 8, 36, 76, 128?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 17. Give d(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-2) - (16 - 31). Let d be 11\/r + ((-25)\/15)\/5. Which is the third biggest value? (a) d (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028206 to five decimal places.\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. Let x = -75 + 38. Let y = x + 37. Which is bigger: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0 + 0)*(3 + 2 - 3) + (-46*o + 64*o + 60*o)*(-o - 2*o + 5*o) + (-1 + 1 - 2*o**2)*(-4 + 13 + 7).\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -44*t - 570. What is the remainder when o(-36) is divided by 338?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143 - -1821\/16. Let c = -61\/2 - g. Find the common denominator of c and 99\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3 - 33284*v**2 + 9841088*v - 740899072 = 0 for v.\nAnswer: 152, 8017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -66 - 8*p + 30 + 26. Let y(t) = 3*t + 4. Let m(f) = 2*x(f) + 5*y(f). Let k(w) = 6*w. What is m(k(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 6*t**2 + 8*t - 4. Let b be a(7). Let u(i) = 9*i - 11*i**2 + i**3 + 6 + b*i**2 - 13*i. Let k(q) = q**2 + q - 1. Determine 4*k(d) + u(d).\nAnswer: d**3 - 4*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 5*m**2 + 4*m - 13. Let p be j(-6). Which is smaller: p or 16?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17426699?\nAnswer: 17426699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-2*sqrt(288) - sqrt(288))*4 - -3*(sqrt(288) + 4 + sqrt(288))) + 4)**2.\nAnswer: -2304*sqrt(2) + 10625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -62 + (-16 - (-2 + -33 - (-330 - -313))).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**4\/5 + 10003583*s**3\/5 + 25017903204091*s**2\/5 - 75053799644547*s\/5 = 0?\nAnswer: -5001793, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8349 - -8630. Which is smaller: 2807\/10 or h?\nAnswer: 2807\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 63*m**3 + m**2 - 2*m + 2. Let d = 24 + -11. What is the remainder when t(1) is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 12:17 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2 + 6*c. Let m(r) = 3*r**2 + 5*r. Give 4*h(y) - 5*m(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1248154 and 581.\nAnswer: 8737078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/364)\/(605\/120 - 5) and 89\/728.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:37 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.071 + 0.871. What is the biggest value in 1\/8, g, -3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -0.1, 2, 5, 4, 2\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -21. Suppose 1006*y = 990*y + 240. What is the hundreds digit of (-2)\/y + 3797\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160429?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2207771563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 = 67*g + 233 + 979 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2. Let j be (24\/(-84))\/((-3)\/21). Let g(x) = -294*x + 5*x**j - 1 + 9 + 294*x. Calculate z(g(h)).\nAnswer: -25*h**4 - 80*h**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 6 = -j. Suppose 0 = -2*p - 3*p - j*o + 85, 0 = 4*o - 20. Let h be -56*5*p\/7. Round h to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(5)*-4*2)\/(sqrt(162) - (sqrt(162) - (sqrt(162) - 6*((sqrt(162) - sqrt(162)*-4) + sqrt(162))))).\nAnswer: 8*sqrt(7)\/315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 + 12*p**3 + 0*p**3)*((6 - 2 + 0)*(-3 - 3 + 3 - 4 + 0 + 2 + (3 + 0 - 2)*(3 - 1 - 3)) + 3 + 0 + 4).\nAnswer: -153*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d - 10 - 2*d + 3 - d**2. Let l(k) = 124 + 10*k - 67 - 214. Let q be l(15). What is u(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 35*k - 213. Give w(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 120?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 61, 71, 101, 157, 245?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2579 = 8*r - 9*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.4, -1, 1\/3 in ascending order.\nAnswer: -4, -1, -0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 20 = -6*s. Suppose m + s = 2*m. Calculate the smallest common multiple of 14 and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 28, 80, 154, 250, 368, 508?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 25 = 2*o, 16*w + 12*w - 26*w + 14 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -12 + 129*q + 19 + 37. Is c(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 2*t + 2829*t**2 + 6*t.\nAnswer: 2829*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3\/8, 1\/6.\nAnswer: 1\/6, 3\/8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.7 - -2.7. Let v = -133498176 - -133498165.00000056. Let z = v - t. What is z rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*x, -3 - 2 = -x. Let k = 12 - l. Let s(h) = -h**2 + 7*h + 1. What is s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 12 - 2 - 28*l to b + k*l and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*q**3 + 31*q**5 - 52*q**2 + 10*q**3 + 0*q**3 wrt q.\nAnswer: 1860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -4470039, -1\/4, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 - 6328*l - 1998792.\nAnswer: 2*(l - 9798)*(l + 306)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n + 23*n - 4 + 4 + n**2 to l*n**2 + q*n + o and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -249.43 at least as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -2. Suppose l - 65 = -v*l. What is the greatest common divisor of l and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 2*m + m - 2*m + m**2. Let w be x(4). What is the smallest value in -1\/6, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 11:23 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 237?\nAnswer: 6873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15206 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1695 + -1659. Sort 1, 3, h in descending order.\nAnswer: h, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - (sqrt(704) - 2*sqrt(704)*-4) - (-4 + -3 + sqrt(704)))**2 + 0 + (sqrt(1100) + sqrt(1100) + 1 - sqrt(1100))**2*3.\nAnswer: -948*sqrt(11) + 60376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -228 * -199.226\nAnswer: 45423.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, 10, 19?\n\"Answer: 9*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3742 + -0.4742. Which is the third biggest value? (a) -2 (b) -1\/2 (c) 3\/19 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 170*s**2 + 489*s + 2015. Suppose -2*f - 2*z = -282, 0*z - 4 = -z. What is the lowest common multiple of o(167) and f?\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 26*p + 77*p - 6*p + 112*p)*(3*p + p**2 - 3*p + (3 - p - 3)*(-2*p - 1 + 1)) in the form y + g*p + b*p**3 + t*p**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:24 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/684 - 128\/(-144).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7443359 micrograms?\nAnswer: 0.0000007443359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, c: 14}. Give prob of sequence hhc.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 22 - 18 = -4*l, 4*l - 2*r - 44 = 0. What is the first derivative of 9 - 1 + 4 + 13 - l*j wrt j?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -137*f + 142*f. Let 3*q**4 + 3*q**2 + 17*q**f + 4*q**5 + 13*q**2 + 51*q**3 - 19*q**3 = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336, 696, 1070, 1464, 1884, 2336, 2826, 3360?\nAnswer: 3944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.37693 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 32*z - 12. What are the prime factors of x(9)?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a**2 + 18*a - 16. Let t(y) = -16*y**2 + 38*y - 31. Let o(i) = -7*f(i) + 3*t(i). Let s be o(8). Let x(r) = r**2 + 12*r - 16. Determine x(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/7 + (2 - -2). Suppose 9 = 5*z + 3*w, -b*w - 28 = -5*z - 3. Factor 2\/3*l - 2\/9*l**z + 0*l**2 - 4\/9.\nAnswer: -2*(l - 1)**2*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/63 and 19\/39.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1015.6722 months to decades.\nAnswer: 8.463935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - -1.31. Let i = u - 0.19. Which is the closest to -1\/4? (a) i (b) 1\/3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 7*m**2 - 5*m + 1. Let g be p(-4). Let s = 7 + g. Find the common denominator of -45\/8 and 428\/6*(-3)\/s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -364, -7943 in descending order.\nAnswer: -1, -4, -364, -7943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 288\/(-5) - (-4)\/(-10). Let p = b + 81. Suppose -3*y = -6*y + 69. Calculate the highest common factor of y and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2\/19 + 1086*g\/19 + 32704\/19 = 0.\nAnswer: -511, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26430 - -26376. Which is the smallest value? (a) -0.4 (b) -27 (c) q (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/3 - 1385209*n\/3 + 461736 = 0.\nAnswer: 1, 1385208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((6\/(-40))\/((-15)\/40))\/(1656\/(-180))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 10708814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1703?\nAnswer: 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 45026 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: What is prob of picking 2 g when two letters picked without replacement from {t: 7, g: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 912 and 396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 5*k + 2*k)*(-2 - k + 0*k + 2*k) + 18*k**2 + 7*k**2 - 2*k**2.\nAnswer: 21*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 5*d + 2, -5*o - 6*d + 3*d = 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768551214.\nAnswer: 2, 3, 29, 223, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -103875, -103894, -103905, -103902, -103879, -103830, -103749?\n\"Answer: o**3 - 2*o**2 - 20*o - 103854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2 (c) 3 (d) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70\/9 or 1064373?\nAnswer: -70\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g*m*q - 3*g*q**3 + 38*m**2*q**2 - 42*m**2*q + 5*m**2 - 2*m*q**4 wrt q.\nAnswer: -18*g*q + 76*m**2 - 24*m*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 727914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12636636106*u - 10*u**3 - 12636636106*u.\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, -1 in increasing order.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}