diff --git "a/data/dm_maths/full_data_2/10981_11255.jsonl" "b/data/dm_maths/full_data_2/10981_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10981_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (((q*q*((q\/q**(3\/8))\/q)\/q*q)\/q**(-7))\/((((q*q\/(q\/(q*q**4)))\/q)\/q)\/q*q*q**4))\/(q\/(q**(-1\/7)*q)*q*q**(-2))**(1\/4) assuming q is positive.\nAnswer: q**(47\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*p + g, 3*p = -7*g + 2*g + 14. Solve -5*c = -2*s - 3, -3*c = -p*s + 5*s + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12692690 to the power of 1\/2, to the nearest integer?\nAnswer: 3563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2499 + -2504. Let m(r) = -7*r + 5. Let j be ((-2)\/6)\/((-3)\/18). Let g(p) = -5*p + 4*p + 0*p - 1 + j*p. Determine h*g(b) - m(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -2, 13, 46, 103?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 6*c**2. Let t be f(6). Let a(r) = -r**3 - 5*r**2 + 6*r + 4. Let j be a(-6). Let s be (-2)\/j + (-52)\/(-8). Solve t = s*g - g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57697?\nAnswer: 57697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 7*z**4\/4 - 2*z**3\/3 - 3*z**2\/2 + 3*z + 3. Is m(2) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -2, 3.\nAnswer: -69, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/497 and -36\/35.\nAnswer: 2485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 4*f**2 + 9. Let s be (-1 - -3) + 1 + (-7 - 0). Calculate k(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r + 14. Let j(k) = -6*k - 13. What is -5*j(h) - 4*l(h)?\nAnswer: 2*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 16 = 8*x. Suppose 5*q - 4*p = -20, -q - q + x*p - 15 = 0. Sort 1, -1, q, -3 in ascending order.\nAnswer: -3, -1, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1040 and 520.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6389*g**2 - 25348*g**2 + 6378*g**2 + 6210*g**2 + 6380*g**2.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7340230.\nAnswer: 2, 5, 41, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 7*c - 65 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*b**5 - 263156*b**4 - 2983944*b**3 - 702248*b**2 + 2983932*b + 965404 = 0. Calculate b.\nAnswer: -11, -1, -1\/3, 1, 21941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6863754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096823 is divided by 57727?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192 - 10*u + 24*u + 123 - 12*u - 129 - 176.\nAnswer: 2*u - 374","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 d when four letters picked without replacement from {s: 1, c: 8, d: 4}?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6639.65*4.\nAnswer: -26558.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o - 8 = 0. Let z(n) = -10. Let p(t) = -t + 2. Let a(r) = 3*p(r) + z(r). Calculate a(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15, -87, -173, -237, -273, -275, -237, -153?\n\"Answer: r**3 + 2*r**2 - 115*r + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 364 - 363.5. Which is the closest to -1\/4? (a) 5\/3 (b) 0 (c) 2\/3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001332460945 rounded to seven decimal places?\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 19 (c) 119.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 462067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14276468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v - 3*w + 17 = 0, -3*v - 17 = 2*w. Let l(d) be the second derivative of d**4\/12 + d**3\/2 - 2*d**2 + d. Calculate l(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45*(-7)\/(-7)*(-92)\/(-23)*2\/(-8).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 4. Let f be q(2). Find the third derivative of 0*g**f + 9*g**6 - 4*g**6 - 2*g**2 + 13*g**2 wrt g.\nAnswer: 600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -30529*b - 2. Let x be d(3). Let i = 45589 + x. Round i to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1105 + 1108. What is the nearest to 3\/7 in -4\/7, -1\/8, -1, b?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*t - 105*t + 510*t**3 - 1581*t**3 - 1106*t**3.\nAnswer: -2177*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 492520, 1970061, 4432626, 7880215, 12312828, 17730465?\n\"Answer: 492512*w**2 + 5*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2597700 - 4?\nAnswer: -2597704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/(1332\/(-984)) - 25\/75.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (198*t**2 - 175*t**2 + 629*t**2)*(2 - 1 + 1) to the form u*t**2 + q*t + v and give u.\nAnswer: 1304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {a: 2, b: 3, y: 1, r: 4, s: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.05 (b) -23 (c) 0.4 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**7\/1260 + 5*n**4\/8 - 3*n**2. Let q(u) be the second derivative of o(u). Let d(a) = 11*a**2. Give d(q(p)).\nAnswer: 44*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - a + 0*a - 3 = 0, -5*p = -a - 3. Solve 0 = -p*j + 2*j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (4 + (-4 - -4) + 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101517 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 y(p) = 5*p**2 + 1. Suppose 0 = g - 2*g + 3. Let q(m) be the second derivative of m**4\/3 + m**2\/2 - 7*m. Give g*y(o) - 4*q(o).\nAnswer: -o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272988971 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(((-20)\/8)\/5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*j - 8*j + 2*j - 8*j**2)*(-2*j**2 - 3*j**2 + 0*j**2) in the form g*j**2 + b + h*j**4 + x*j**3 + v*j and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1\/2 (c) -0.7 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -1\/4, -25, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w - 1. Let l(p) be the first derivative of -7*p**2\/2 + 116. Calculate -2*d(b) - 3*l(b).\nAnswer: 7*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*l**2*w**3 - 2*l**2 + 104*l + w**4 wrt w?\nAnswer: 24*l**2*w**2 + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 298574 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z + 1 = -359. Calculate the remainder when 62 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - 4*-2*sqrt(637) - (sqrt(637) + 1 + sqrt(637) + -1))**2 + (-1*sqrt(104))\/sqrt(8)*-2 + 4.\nAnswer: 2*sqrt(13) + 31217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8095, 8097, 8099, 8101?\nAnswer: 8103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 29091.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11798177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 1729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4661555 + -0.466. What is u rounded to 6 dps?\nAnswer: 0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 14*h**2 + 13*h + 5. What is p(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1685879, 1685760, 1685641, 1685522, 1685403, 1685284?\n\"Answer: -119*k + 1685998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 535 (base 8) to base 11\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17914, -71565, -160984, -286171, -447126?\nAnswer: -643849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 6*s**2 + 2*s - 3. What is b(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + sqrt(48) + -2.\nAnswer: -4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -21, -59, -123, -219, -353, -531, -759?\n\"Answer: -p**3 - 4*p**2 + p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -7. Suppose -5*f = -z + 42, o = -3*f - 5*z - 41. Calculate the common denominator of -39\/7 and 37\/(-24) + (-6)\/f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3119466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 165566205 at most as big as 165566207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 68608, 68794, 68980, 69166, 69352?\n\"Answer: 186*t + 68422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.931 in -0.366, -2\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((8 - -3) + -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21, 62, 117, 180, 245, 306?\n\"Answer: -w**3 + 13*w**2 + 9*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11689630 to the power of 1\/2, to the nearest integer?\nAnswer: 3419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*f + 5*f. Which is smaller: f or 3\/14?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*w**3 + 2*w**3 - 4*w**3 + (2*w**3 + 3 - 3)*(-1 + 1 - 2) - 2*w**3 - 2*w**3 + 3*w**3.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 5*j = q - 5, j - 20 = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184 and 380.\nAnswer: 17480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -1, -86?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k**2 + 3*k + 1. Let r be j(-1). Suppose -3*d = r*v - 81, 7*d - 113 = 2*d - v. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5922*x**4 - 216*x**2 + x?\nAnswer: -142128*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23115097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 1102020122220?\nAnswer: 1102020200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -17*w - 93. Let k be p(-4). Let g(f) = -24*f + 165. Is g(k) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -916.06 rounded to 0 decimal places?\nAnswer: -916","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.13 (b) 2 (c) 0.09 (d) 159 (e) -1 (f) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z - 3*z)*(z - 2*z + 3*z)*(-8*z - 14*z + 16*z) - z**3 + z**3 + z**3.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.56 - 0.36. Let g = 3 + 1. What is the nearest to -2\/3 in g, 1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.5, 5, -1279 in increasing order.\nAnswer: -1279, -3\/5, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 45.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/5)\/(10824\/880*-20)?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 3*l + 293773, -8*l = -3*i - 12*l + 176255. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/21877 and 93\/1336?\nAnswer: 175016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i + 3319998. Let f be (-1)\/(-2) + i\/2. Round f to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0de (base 16) in base 7?\nAnswer: -263643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from nnxn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*j - 0*j. Suppose -2*k = 3*k - 4*o + 4, -5*o - 20 = 0. Let g be k\/(-14) - 30\/105. What is the nearest to g in j, -4\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 times 0.05571?\nAnswer: 19.72134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54 and 26?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 4 + 5*o + o + 3*o**2 + 0*o. Let q be j(-7). Solve q = -5*t - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -23*z + 37*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -389 (base 10) in base 8?\nAnswer: -605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2425486919*r**2 + 9*r**3 + 14*r + 8*r + 2425486919*r**2 - 22*r.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = 1. Let f(v) = -v**3 + 4*v**2 - 4*v + 3. Let i be f(2). Suppose y*k = -i*k + 60. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 5:45 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/4)\/((-8)\/32). Suppose -v*m + 6 = -m. Suppose 0 = 3*q + 3*h + 28 - 10, -3*h + 2 = -2*q. Sort -5, q, m in decreasing order.\nAnswer: m, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 514361 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, 3.2, 7, -4, -0.08?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*z + 3120 = 0, 1406 = 2*d - 5*z - 1711. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5454 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 + 4*x**4 - x**4 - x**4 - x - 3*x**2 + 1 in the form k*x**3 + q + l*x**4 + v*x + b*x**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(26*33\/66).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110\/(-20)*31\/(-62)*-8\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - d + 2*d)*(-1 + 0 - 1)*((-1 + 1 - 5)*(-6 - 3 + 4) + 5 - 5 + 7).\nAnswer: 128*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -181899354 divided by 6?\nAnswer: -30316559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862448769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 545, -0.3, 1\/12, -2\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 156 or 151?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 12. Let j = l + -1.5. Let b = j + -2. Which is greater: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 10\/(-4))*0. Let z = -13 + 59. Suppose t - z - 4 = i. What is the remainder when t is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4)*18*(-1)\/(-6)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 361*l**2 - 359*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**4 + 15220*a**3 - 5113385*a**2 - 20636020*a - 20696820 = 0.\nAnswer: -3349, -2, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7149 + -7612. Which is the second biggest value? (a) -3\/4 (b) g (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1182 and 1.\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0 - -3) + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-1 - sqrt(143))*3)\/(sqrt(22)\/sqrt(2)*1).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 12) to base 2\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/91 + 2\/13 + 123. Suppose -14*v = -25*v + 1364. Which is bigger: v or s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2812 or -8438\/3?\nAnswer: -2812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 3, 51 in increasing order.\nAnswer: -3, 0, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 3*j + 18, 2*f + 2 = -3*j - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 8*h = h + 3*h - 88, 0 = 3*k + 5*h - 52 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5316784218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1869309 by 47931.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, b: 1, u: 6, c: 5, m: 3}. What is prob of sequence uc?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27464, 219590, 741078, 1756610, 3430868, 5928534, 9414290, 14052818?\nAnswer: 20008800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**6\/360 + a**3\/6 - 2*a**2. Let c(w) be the first derivative of p(w). Let f(t) = 3*t - 4*t + 4*t. What is f(c(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1088\/(-56))\/(-34))\/(32\/21)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.11 and 162720129170.\nAnswer: 162720129169.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30467 + 2.3218.\nAnswer: -30464.6782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -288 - -566. What are the prime factors of q?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 21. Suppose -2*z = -6*z - p*x + 34, x + 16 = 3*z. Suppose -z*g = -3 - 15. Solve 0 = 4*a - 0*n + n - 17, 2*n = g*a + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 51\/7 (b) -3 (c) 0.2 (d) -1\/18 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3625 and 1173314625.\nAnswer: 3625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from tqtqqtqq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4205462 (base 7) to base 16.\nAnswer: 7b935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 703855 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (0 - (10 + 0 + -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165 by 33.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + 5*sqrt(17)))**2 + -4.\nAnswer: 450*sqrt(17) + 4046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.75561 milliseconds to microseconds.\nAnswer: 70755.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 6*g - 294. What are the prime factors of k(35)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55041960 divided by 9173660\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*r**2 - 109*r**2 + 46*r + 446*r**2 - 110*r**2 - 113*r**2.\nAnswer: 3*r**2 + 46*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1011001101?\nAnswer: -1011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6858 + 6858. Let p = 0 + 0.1. What is the nearest to x in p, 1\/4, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-812)\/(-8) - 1\/2. Let i = m - -77. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*b = 40, 0*v - 25 = -2*v + 3*b. Let h be -1 - 5*-12*4\/v. Suppose 14 = -3*p + 3*y + h, -2*y + 10 = 2*p. Does 3 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in hours?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 6*y + 4. Let w be k(8). Is 8 a factor of w\/25*(-70)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 10. Let s be j(-8). Solve h = -o, -4*h - 2*o - 2 = s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 11. Put 3, a, -3 in decreasing order.\nAnswer: 3, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18542459\/145890 - -16\/14589. Let u = -127 + i. Find the common denominator of u and 13\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1388511 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5945, 47672, 160929, 381482, 745097, 1287540, 2044577?\nAnswer: 3051974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*a + 10 = 34, 9 = -3*z - 3*a. Suppose 14*m = -z*w + 19*m + 118, 2*m = -4*w + 260. What is the highest common divisor of w and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 3. Suppose 16*x = 15*x + 12. Suppose -2*h + 5*v = 19 + x, -4*v = h - 17. What is k(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 10:30 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-7) - 16\/(-14). Suppose -y + 5*n + 256 = -288, 0 = -z*y - 5*n + 1148. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + x - 16 = 0, 4*x + 9 = -4*j - 23. Let n be 80\/(-3)*(-690)\/j. Round n to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 2*u**3 - u + (0*u - u - u)*(4*u**2 + u**2 - 3*u**2) + 0 - 2*u**3 + 0 to the form r + y*u**2 + k*u + a*u**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:04 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qsysysqss. What is prob of sequence qys?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 210181 by -1.\nAnswer: -210181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, k: 3}. Give prob of picking 3 k.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19128 + -19123. Suppose 4*h + 3*u = 309, 4*u = -3*h + 4*h - 82. Sort h, 1, o.\nAnswer: 1, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 47.1716357 and -0.371?\nAnswer: 47.5426357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (-2 - 4)) + -3 + -6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 959 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**7\/70 + j**6\/20 + 7*j**5\/20 - j**4 - 6*j**3 - 112*j**2. Solve u(s) = 0.\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1958*y - 38. Let u(k) = 1962*k + 51. Determine -4*n(s) - 3*u(s).\nAnswer: 1946*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 3*l**5 - 5*l**2\/2 + 11. What is the second derivative of y(t) wrt t?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50 and 4.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(3\/(-4)) - (-4 - -2). Put 3, -3, 1, u in descending order.\nAnswer: 3, 1, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*6)\/(3\/(-4)). Let v = 13 + -11. What is the highest common divisor of v and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -661.985 smaller than 0.153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*n**3 + 281*n + 286*n + 276*n - 843*n - 224*n**3.\nAnswer: -26*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/1843860 and 19\/194.\nAnswer: 178854420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 622945 and 85777?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/9)\/(15\/45). Let p(x) = -2*x**3 + 5*x**2 + 3*x + 1. Let u be p(-3). What is the greatest common divisor of n and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 56. Is t at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + i - 1, i - 16 = g + 3*g. Let t = -3 - g. Solve z + 2*c - 16 = -2*z, -t*z + 14 = 2*c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2142347334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3913 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: Solve -4826*i = -4802*i - 480 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3847.093nm to kilometers.\nAnswer: 0.000000003847093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 18*j**2 + j. Let p(f) = 2*f + 5. Calculate w(p(b)).\nAnswer: 72*b**2 + 362*b + 455","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**3\/5 + 974538*k**2\/5 + 79138819872*k\/5 - 158297131104 = 0.\nAnswer: -162428, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -256\/5*q + 3184\/5*q**3 + 3048\/5*q**2 - 38*q**4 - 198\/5*q**5 - 128\/5 = 0.\nAnswer: -4, -1, -2\/11, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 53, 0.1, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -719798553 and 0.5.\nAnswer: -359899276.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38760\/(-34748) - (-152)\/(-5548)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13, 1, -14, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -12?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642494?\nAnswer: 2, 321247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 400121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 361.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 12, z: 3}. Give prob of sequence fr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a. Let v(i) = i + 6. Let q be v(-3). Let d(f) = -q*f**2 - 3*f**2 + 4*f**2. Give l(d(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -17*c**3 + 6*c**2 + 5*c - 4. Suppose 0*m - 3*m - 33 = 0. Let i(g) = 50*g**3 - 17*g**2 - 14*g + 11. Let j(z) = m*o(z) - 4*i(z). Is j(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -421*r**4\/4 + r**3 - 6089*r**2\/2 + 8170. Find the second derivative of z(j) wrt j.\nAnswer: -2526*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*24.529\nAnswer: 73.587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 16\/3712*-16 + 246\/203?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*q - 136*q + 63*q + 1273*q**2 as l*q**2 + r*q + f and give l.\nAnswer: 1273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3742267 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(150\/(-20))*(-2 - (-124)\/56)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*b**2*o**3 - 14*b**2*o**2*u + 2*b*o**3*u + 4*b*o**3 + 3*b*u - o*u wrt b.\nAnswer: -38*o**3 - 28*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 330523906*j**2*u**3 - 246749*j**2 - 97*u wrt u?\nAnswer: 1983143436*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(132)*2)\/(sqrt(33)\/(sqrt(3) - (sqrt(6)\/sqrt(2) + sqrt(3)))) + -4.\nAnswer: -4 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (-4 - 2) - (-359 + 398)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 7:18 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 23*d**5\/10 - 52*d**2 + 103*d. Differentiate j(g) wrt g.\nAnswer: 138*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -53*87\/(-15) + 48\/80 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 26. Let u(y) be the second derivative of y + 0 - 1\/12*y**4 + 0*y**3 + 0*y**2 + 0*y**5 - 1\/15*y**l. Find the third derivative of u(i) wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x + 372 = l, 5*x + 2*l = 619. Calculate the remainder when x is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.863314 rounded to 3 decimal places?\nAnswer: 0.863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53585647 to the nearest integer?\nAnswer: 7320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 27 = 3*q, 2 = q + 3*y - 5. Let x = -4 + q. Suppose 0 = -l - p + x*p + 10, 0 = -4*l - 3*p + 17. Solve t - 2*b + 19 = -4*t, 0 = t + 4*b - l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 5:25 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - a = -4, 4*j - 6*a = -a + 13. Is j\/2*(-273 + -8 + 1) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30068, -0.1, 9\/67.\nAnswer: -30068, -0.1, 9\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*w = -3, -2*o - o + 9 = -3*w. Calculate the remainder when 15 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16000 by 25.\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*s + 7638 = 384*s - 21*s. Suppose -6 + 2 = -2*d. What is the remainder when s is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*g - 145*g - 80 = 0 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.069 times 8?\nAnswer: -8.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q. Let m be h(-1). Let w = 15 + -9. Suppose w*n + 16 = -m*p + 2*n, -3*p - 8 = 2*n. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 618?\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 61 - -39007?\nAnswer: 39068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and (165\/6)\/((-33)\/(-66))?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2461*w**3 - 2473*w**3 + 4933*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70)*-2)\/(sqrt(490) + 2*sqrt(490)) + 5 + 5)**2.\nAnswer: 80*sqrt(7)\/21 + 6316\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*s - 16 = -2, -1 = 2*a - s. Let t be 6*(-1)\/(a\/2). Let f be t\/(-21) + (-60)\/(-14). Solve -4*h - h = -r + 15, 17 = 5*r + f*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 65368085 to the nearest 10000.\nAnswer: 65370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -44843715 - -1.23?\nAnswer: -44843713.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v + v - 6 - 4*v. Let p(g) = g**2 - 8*g - 37. Let k be p(12). What are the prime factors of s(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3739514100 rounded to the nearest 1000000?\nAnswer: -3740000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 8:39 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*i + 57. Let d(f) = 4*f - 3. What is the remainder when d(8) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 8. Let d be k(-4). Let a(t) = 2*t**3 + 3. Let s(m) = 6*m**3 + 8. Determine d*a(x) - 3*s(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 13. Let j be d(-8). Suppose s - 11 = 4*n, -3*n = j*s - 4*n - 17. Solve 2*w - z = s*w - 2, 4*w + 3*z - 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-716 + 696 - (-4 + (0 - -1))) + (0 - -8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 2. Let y be z(3). Let n be (-25 - -25)*(-2 - 4\/(-4)). Solve -r + y = -n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 6*u - 4. Let n be a(-6). Let y be (-2)\/6 - n\/(-6). Let m(v) = 4*v**2 + v. Let i be m(y). Is i at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154 + 6.1?\nAnswer: 1160.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((265824\/355)\/156)\/(3\/(-15)*1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.521 + -0.678. Let q = 1.299 + k. Let h = -1 + 1. Which is the closest to q? (a) -5 (b) -2\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -47*a**3 - 8*a**2 - 324*a + 335. Calculate w(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 328 = -2*q. Let f = -29991 - -29993. Sort -2, q, f in increasing order.\nAnswer: q, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 19*h**2. Let c be 4*((-1)\/(-5))\/(18\/45). Let y(l) = 32*l**c - 10*l**2 - 11*l**2 - 9*l**2. Give y(x(s)).\nAnswer: 722*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 115 - (5 - -11)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*d, 5*d = j - 3*j - 65. Is (5\/6)\/(j\/(-5160)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1305221 or 1305215?\nAnswer: 1305221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21249 and 115580394.\nAnswer: 7083","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 0.2, -0.5, 0.3, -0.1 in ascending order.\nAnswer: -0.5, -0.1, -0.02, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 14754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svekskpevsvvvv. What is prob of picking 2 k and 2 e?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 5*t - 45, 0 = -3*m + 2*t + 8388 - 8393 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 0*k**2 + 8*k**4 + 0*k + 6 - 4*k**5 + 2\/3*k**6 - 16\/3*k**3. Determine s, given that i(s) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2. Let l = -23 - -27. Suppose -l*k + 3*u = -48, -2*u = 4 + 4. Let c(w) = -k*w**2 + 14*w**2 + 0*w + 0*w. Calculate c(t(n)).\nAnswer: 20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -113572 + -25?\nAnswer: -113597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -3, -2.5272?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + 2\/5 + 198\/55. Solve 17*m - c = 20*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2*(-342)\/96 + -7) + (0 - 3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42552893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*v**3 + 34*v**3 - 139*v**3)*(3*v**2 + 0*v**2 - 5*v**2) + 3*v**5 - 2*v**5 - 4*v**5.\nAnswer: 337*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 92, 55, 20, -13, -44?\n\"Answer: j**2 - 40*j + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -338 + 528. Calculate the remainder when w is divided by (18\/6)\/(-12*9\/(-2304)).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-786*z**4 + 978*z**4 - 508*z**4)*(8 - 8 + 3*z) + 0*z**5 - z**5 + 2*z**5.\nAnswer: -947*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-33)*2\/(-5)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.103 times 1\nAnswer: -0.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54 + 27310?\nAnswer: 27364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10567*c + 10565*c - 5*a - 53, 5*a - 4 = c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10766\/4 + ((-9)\/(-6))\/3. Suppose -5*i + 2814 = -3*r - 543, -4*r = -4*i + z. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*f**2 - 63*f - 3.\nAnswer: 3*(f - 1)*(22*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 79252660.\nAnswer: 79252655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (-20)\/(-3))\/(2\/270) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - y + y)*(1 + 4 - 4) + 0*y - 2*y + 4*y + y + 0*y + 0*y + (4 + 2 - 4)*(1 + 2*y - 1) to x*y + s and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67740 by -6.\nAnswer: -11290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -w - 5*d + 5, 3*d = w + 3. Let b = w + 2. Suppose -2*m + m + 13 = 5*h, -h - 1 = 2*m. Solve 6 = -h*n + 3*k, 3*n + 0*k - 2*k = -b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2. Let h(k) = 46*k + 20. Determine h(r(m)).\nAnswer: 92*m**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -79*q - 5*q**2 - 70*q + 25*q - 3*q - 63*q.\nAnswer: -5*q*(q + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -36*j**2 + 1160*j + 1109. Calculate w(33).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -30.9999892. What is f rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14871844 - -541566.\nAnswer: -14330278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1232 + 1?\nAnswer: 1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in sixty-nine halves of a microsecond?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*10\/16 + (-12)\/(-48). Suppose -j*t + 30 = c, c + 2*c - 4*t = 122. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*q + 25*q - 19*q)*(-2 - 10*q + 5*q**4 + q + 11*q).\nAnswer: -40*q**5 - 16*q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1339507799.\nAnswer: 7, 31, 6172847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3649.479 months in decades?\nAnswer: 30.412325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1241 + 707. List the prime factors of g.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ytrtzzttyytytwwyyz.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:50 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 + -6 + 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -480 divided by 2\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16798483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 3442*r**2 - 108030*r - 111474.\nAnswer: -2*(r - 1689)*(r - 33)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 30*g + 41. Let z = -65 - -75. Is r(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 13*c**8\/56 - 3*c**5\/20 - c**4\/4 - 199*c**2\/2 + c - 151. What is the third derivative of a(v) wrt v?\nAnswer: 1560*v**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102163?\nAnswer: 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 10:07 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-4) - 1\/(-2). Let j = o + -5. What is the third derivative of 2*a**2 + j*a**5 + a**5 - a**5 + 2*a**6 wrt a?\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -2*y + 804 - 816, y - q = -6 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 11904895.\nAnswer: -5952447.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {z: 1, w: 3, g: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 13*r**2 - 3*r - 45. Calculate c(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*y**3 + 319*y**3 - 688*y**3 + 171*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1491*x - 8404*x + x**3 - 2*x**2 - 536*x.\nAnswer: x**3 - 2*x**2 - 10431*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 555, 7, 3, -3, -7, -5, 66 in descending order.\nAnswer: 555, 66, 7, 3, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1023, -1006, -979, -942, -895, -838, -771?\n\"Answer: 5*z**2 + 2*z - 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 4*t + 17. Let s be m(-5). Let c be s\/(-8) - 126\/(-96). What is the biggest value in c, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 = 5*f - t, 2*t = -f + 142 - 21. What is the greatest common factor of f and 374?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**5\/60 - h**4\/3 - 7*h**3\/6 + 49*h**2 + 2. Let t(m) = m**3 - 5*m**2 + 5*m - 1. Let o be t(5). Let r = 16 - o. Give u(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, p: 1}. What is prob of sequence phh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 23*k - 4. Let z(f) = -5*f. Determine z(l(o)).\nAnswer: -115*o + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/(-12) + 7\/(63\/(-6)). Let j = -4\/3 + 2. Let y = -7 - -7.2. Which is the third smallest value? (a) j (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + 6 + 15*l**2 + 3*l**3 + 5 + 9*l**3. Let a(i) = -7*i**3 - 7*i**2 - 5. What is 13*a(h) + 6*p(h)?\nAnswer: -h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 948 - 69 - 490 + 1065 - p + 998 as r*p + z and give z.\nAnswer: 2452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 130, 6, 3\/2, 0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w + 0*w - 4*w + (0 + 0 - 2*w)*(-1 - 3 - 1) + (-3*w + 5*w - 3*w)*(-4 + 0 + 3) as p*w + x and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 42845.68 years in millennia?\nAnswer: 42.84568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1260 and 1259 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3035609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/240*-16*12\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 1. Let n(v) = 2*v**2 + 18*v + 12. Let f(o) = 6*g(o) - n(o). Factor f(i).\nAnswer: -2*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202 + -1?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -527, 2, -96.\nAnswer: -527, -96, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by -69?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000375684432 to 7 decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 10*b**3 + 0*b + (-3 + 3 - 5*b**3)*(-4 + 17 + 4) as n*b**2 + u + f*b**3 + s*b and give f.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y + 10. Let w be f(-3). Let q be (0 + -1)\/(w\/(-4)). Solve -u = -2*u + 4*b, 0 = -q*u - 2*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.258, -6\/41, 2\/9, -1, -33 in decreasing order.\nAnswer: 2\/9, -6\/41, -0.258, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4760 and 7336?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14b8f - 7b?\nAnswer: -14c0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnmncnmn. What is prob of picking 1 c and 2 m?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g + 66. Let x be k(-11). Factor 0 + x*r**2 - 1\/4*r**3 + 1\/4*r.\nAnswer: -r*(r - 1)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + 130?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -598. Let k = 587.989 - w. What is the third biggest value in 2\/19, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 32700 = 5*s, 13*s + 13077 = 2*q + 14*s. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)*m**(6\/25)\/m)\/(m**(1\/10)\/m**(-16)) assuming m is positive.\nAnswer: m**(-853\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377653937.\nAnswer: 3, 11, 5501, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2 + 408*q - 405 = 0.\nAnswer: 1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157 + 166. Let n(f) = 2*f**2 - 13*f + 31. What is the remainder when n(k) is divided by (26\/(-2) - 0)*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 2\/23, 2, 3\/2, -2.4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than 0.2651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 966, 957, 936, 897, 834?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 10*r**2 + 10*r - 11. Let x be i(-11). Suppose 4*m + 2*f - 5*f - 41 = x, 55 = 5*m - 5*f. Is 18 a factor of (-2)\/m - (-868)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 235.272 decades?\nAnswer: 28232.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100110011101001000000111 + 101?\nAnswer: -11100110011101001000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 2:10 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i - 2*i + 7*i. Let p = -5 - -11. Is 9 a factor of n(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 17*b**6\/120 - b**5\/15 - 5*b**4\/2 - 2*b**2 - 17*b. Find the third derivative of g(z) wrt z.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-132)*8\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 38764?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-598)\/13*(3\/27)\/(70\/315).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101 + 1001011?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22212001102 - 100?\nAnswer: -22212001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5884 = 19611. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 224 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6575 and 30?\nAnswer: 39450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 17 + 7. Let v = 0.1 - 0.1. Let g = 773238 - 773241. What is the third smallest value in g, v, d, -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (3 - 1)) + (-1 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 375.\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - i - 6. Let u(h) = -h. Let q(n) = o(n) + u(n). List the prime factors of q(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/31))**(-1\/5))**(1\/7) assuming u is positive.\nAnswer: u**(-33\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1457 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -6*m**2 + 1\/15*m**7 + 11\/30*m**5 + 4\/15*m**6 + 0 + 1\/6*m**4 + 0*m + 0*m**3. Let l(k) = 0. What is k?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -156, -286, -340, -318?\n\"Answer: 38*x**2 - 244*x + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130.60004595 - 130.6. What is t rounded to 6 dps?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 474.2 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 19*x**2 + 93*x + 9. Let y(b) = -10*b**2 - 47*b - 5. Calculate 6*k(r) + 11*y(r).\nAnswer: 4*r**2 + 41*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + ((-1)\/(-2) - (-234)\/36). Solve 0 = 4*d + 2*k - p, 4*d = 5*k - 30 + 71 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.4. Let s = 0.028 - 0.028. Let d = 1 + -1. What is the closest to s in 3\/7, d, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 2960.\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + 15*b - 8*b**2 - 49 - 36*b.\nAnswer: -8*b**2 - 15*b - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*o + 16 = 7*o, 12 = 4*l + 3*o. Let h be (-4)\/(5\/18 - (-2)\/9). Sort h, l, -5.\nAnswer: h, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5452, -5444, -5440, -5440, -5444?\n\"Answer: -2*w**2 + 14*w - 5464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002925451 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1239 (base 14) in base 9?\nAnswer: -4331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -63.83554692 - 0.5\nAnswer: -64.33554692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (74 - 34 + 5*y - 38)*(y**3 - 2*y**3 + 4*y**3) to a*y**4 + c*y**2 + o*y + s*y**3 + w and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*d**3 - 1086*d**2 + 1086*d**2 + 39*d**4 - 44*d**4 = 0 for d.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11803868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -1 + 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/10*108\/15*276\/184?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**4 - 75*n**3 + 306*n**2 - 435*n + 150.\nAnswer: 3*(n - 5)**2*(n - 2)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 3 + (7 - -94). Suppose -525 = -5*q + 3*u, 4*q - 3*q = -2*u + c. Let n = q + -62. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457437 is divided by 407.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.41 + 269.1907.\nAnswer: 277.6007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*l - 6, 3*l + 2 = 43*b - 45*b. Suppose -4*t - 2120000 = -5*d, 5*t - b*d = -191109 - 2458891. Round t to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -229 (b) 0.1 (c) 0.3 (d) 1\/6 (e) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.2. Let l be (2 - (-2)\/(-4))\/(-3). What is the smallest value in l, -0.4, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4967 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14205444761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/7 (c) -2\/5 (d) 1\/3 (e) 62\/5863\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - -12 - -57 - (-17 - (7 - 7)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 4*n**2 - 9*n - 8. Calculate h(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142084 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3073*c*r**4 - 294*c*r + 2*c + r**4 - 9*r**3 + 10*r + 1 wrt r.\nAnswer: -36876*c*r**2 + 12*r**2 - 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) -0.106 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.942709 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y. Let d = 9.22 - 8.22. Which is the closest to d? (a) y (b) 2\/11 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**5\/20 + d**4 + 3*d**3\/2 - 2*d**2 - 5*d. Let k be b(-11). Suppose -9*v + 2*c + 43 = -6*v, -5*v + 2*c = -77. Is v > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 12:31 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + d - 1. Let u(y) = y**3 - 8*y**2 - 4*y + 5. Let x(f) = 6*k(f) + u(f). Let p be x(4). Round p to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 0)*5\/(-1). Suppose 21*h - 25*h + 26 = n, -4*n = 5*h - 38. Solve l*g + 14 = k, -3*g + g + 4*k = n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6541581 at most -32707902\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4863\/2 + 2432. What is the third biggest value in 0.4, 86, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 38*p**3\/3 - 7*p**2\/2 + 110*p - 1224. Find the first derivative of n(h) wrt h.\nAnswer: 76*h - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + 0.1. Let d = 1 + s. Let n = 1.55 - 1.85. Which is the nearest to -1? (a) n (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k = -45. Calculate the least common multiple of k and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-7)\/(-1)) - 110\/(-210). What is the closest to -0.4 in -1, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o - 18. What is the remainder when l(20) is divided by 6\/10 - (1248\/(-30))\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g. Let d(m) = -4486*m. What is d(a(f))?\nAnswer: -13458*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l - 2. Let r be m(-5). Suppose 4*q = 5*q - 2. Let k be (q*-2 - -1) + 9. What is the highest common factor of r and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4*n - 22, 5*f + 16 + 12 = -n. Let o = 0 + 6. Let q be 0 + 0 + o\/(-15). What is the smallest value in q, f, 2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 - 107*d - 237. Let h be q(-24). Solve -h*l - 27 = 108 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 5 - -2) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2520 and 1665.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6681660 and 69240.\nAnswer: 13363320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14664 divided by -1128?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108002 and 23798?\nAnswer: 1285115798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 d when four letters picked without replacement from dnudzdzdzdzddz.\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4639 + -4\nAnswer: -4643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4 + 1 - 3*t + 2*t. Let q be f(-3). Suppose x + 32 = 4*x + 4*w, x + 4*w = 24. Put q, -4, x in descending order.\nAnswer: x, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2224 - 5?\nAnswer: -2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 18*o - 9. Let q(c) = 9*c - 4. Let s(u) = -3*g(u) + 7*q(u). Determine s(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 18*k**2 - 33*k - 22. Determine o(-13).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let o(v) = 38*v. Let m be 7\/(-2) + 204\/24 + -6. What is m*o(k) + 8*w(k)?\nAnswer: -46*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1525212700 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*((-1 + 0 + 4)*(-2*n + 5*n - 2*n) + (-71 + 35 - 37)*(-5 + 3*n + 5)) - 1 + 2*n + 1.\nAnswer: 434*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 663 and 1374161?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w = 16. Suppose -4*f + 3*f = -w. Let l be f\/(-22) - 105\/(-33). Solve 5*p - 5 = -4*j, -6*j + l*j + 5 = 5*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 116\/174*4*9\/24. Let u be (3\/(-2))\/((-2)\/(-1)). Which is the closest to -0.2? (a) u (b) i (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6192990.79 - 0.96384?\nAnswer: 6192989.82616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1657\/166104 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -1. Let g = -1.71 + 2.21. Which is the second smallest value? (a) g (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 5 - 5)*(-1 + 4 + 1) + (3 - 4 + 4)*(1 - 1 + l) - 4*l - 9*l + 6*l as q*l + i and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/594 and -41\/612.\nAnswer: 20196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 575, 1130, 1701, 2294, 2915, 3570?\nAnswer: 4265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 23665, 189640, 640133, 1517404, 2963713?\n\"Answer: 23710*f**3 - f**2 + 8*f - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72524 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -23. Let c be ((-16)\/a)\/(1\/6) + 8. Solve -c*j = -2*j + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83030 is divided by 83030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2100214 + -2?\nAnswer: -2100216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dk when two letters picked without replacement from dyykkd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 268170*r + 76.\nAnswer: 268170*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2819, -5103, -7385, -9665, -11943, -14219, -16493?\nAnswer: -18765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - b**2 + 3*b - 3. Let k be v(2). Let x(w) = -2*w - 6 - k*w + w. Let f(s) = -3*s - 1. Let t be 2 + (10*-2)\/(-1). Calculate t*f(a) - 4*x(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1230818 and 16000644\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*t + 35*t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862 = 9*c - 5*d + 871, 1 = -c + 4*d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137 * 2.4.\nAnswer: 328.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 27*m - 10. Let y(z) = 13*z - 5. Let l(d) = 2*x(d) - 5*y(d). Suppose 2*o + 11 = 5*n, 4*n - 6*n + 11 = -3*o. What is the units digit of l(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 48\/60*-3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 26, -5601, 4 in ascending order.\nAnswer: -5601, 3, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 2262*k**2 + 12 + 18 - 2259*k**2 - 14.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r - 13. Let g be q(-8). Solve -2*z - 1 = -g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6345529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2406 and 632259106?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33384834.\nAnswer: 2, 3, 7, 264959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -5*r**2. Let o(k) = -5*k - 4. Let c(d) be the first derivative of 1\/2*d**2 - 7 + d. Let x(q) = -4*c(q) - o(q). Determine x(a(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303606 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (-24)\/20)\/(12\/40). Solve 3*l = p*l + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16\/7 - 64*h**3 - 88\/7*h**5 + 388\/7*h**4 - 44\/7*h**2 + 176\/7*h = 0. Calculate h.\nAnswer: -1\/2, -1\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 100*x. Let t(f) = -101*f. Let v(r) = 7*t(r) + 6*y(r). Let i(g) = g**2. What is i(v(k))?\nAnswer: 11449*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 107 and 0.08?\nAnswer: 8.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 7)*(a - 3*a + 0*a)*(-75*a**2 + 77*a**2 + 109*a**2) as q*a**3 + j*a**2 + l + m*a and give q.\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/8)*(k*k**(-2\/29))\/k)\/(k\/(((k*(k**1\/k)\/k)\/k)\/k)*k**(-2)))\/(((k\/(k**(-2)*k))\/k)**(-4\/11)*k**(-6)\/(k*k\/(k\/(k*k**0\/k*k)))) assuming k is positive.\nAnswer: k**(19573\/2552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -10.6. Which is the nearest to 3? (a) 1\/3 (b) -0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u = 45*u - 3. What is the smallest value in -3, -1, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 33*f + 166. Give g(25).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68931 = -14612*u + 6750*u + 7011*u for u.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6921033 to the nearest integer?\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15187291, -15187290, -15187289?\n\"Answer: f - 15187292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 1, n: 1}. Give prob of sequence im.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 1960?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 - -66. Let s = 0.9 - 0.6. Put -5, l, s in increasing order.\nAnswer: -5, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3315*j + 38 = 5*d - 3312*j, 5*d + 4*j = 34 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**5*l)\/l)\/l**(3\/22))\/(((l**(4\/7)*l)\/l)\/(l**(6\/11)\/l)) assuming l is positive.\nAnswer: l**(-641\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**3 + 1. Let w be f(1). Suppose -2*m - 7 = 3. Let c = m - w. Let a(s) = -s**3 - 3*s**2 - s - 2. What is a(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 55332\/203 + -1 + (-6)\/(-14). Let h = k - 262. Solve 2*q = -2*w + h, 5*q - 2*w + 3*w - 17 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -6. Suppose l = b*l - 264. Calculate the remainder when l is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532*s = -528*s + 3*v - 62, 22*s - 8 = 2*v. Factor 12\/7 + 2\/7*y**s + 10\/7*y.\nAnswer: 2*(y + 2)*(y + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-51)\/7 - -7) + 12.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x**2 + x - 4*x**2 - 4*x**2 - 2)*(2*x**2 + x**2 - 4*x**2 + 0*x**2 - 3*x**2 + 2*x**2 + (x + 3*x - 2*x)*(-3*x + 3*x - x)).\nAnswer: 8*x**4 - 4*x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5\/5 + 24*w**4\/5 - 58*w**3\/5 - 156*w**2\/5 + 72*w + 432\/5 = 0 for w.\nAnswer: -2, -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -w - w - w**3 + 3*w - 2*w**2 as i + v*w**3 + s*w**2 + a*w and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 17*m + 54. Calculate d(4).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 d when three letters picked without replacement from ddgdgdddgddggd?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 2, -0.0855776, 0.2, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451125*s = 450920*s - 25215 for s.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 346*c - 710*c - 4*c**2 + 3 + 353*c to the form g + h*c + x*c**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -99 + 7. Let b = -10 - q. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w**3 + w. Suppose -2*m + 8 = 4*r, -r - 2*m + 2 = -3. Calculate j(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60614 (base 7) to base 9.\nAnswer: -22155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3)*t\/(t**2*t*t)*t)**(-8\/13)\/(t**0\/t**(1\/5))**(-45) assuming t is positive.\nAnswer: t**(-311\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 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: What comes next: 85672, 169295, 252916, 336535, 420152, 503767?\nAnswer: 587380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 2*u**3\/3 + 3*u**2 + 5*u + 1. Let a = 111 + -115. Calculate m(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*q + 23, -3*q - 3*n + 6 = -5*n. Suppose 0 = -5*p + 3*p + 4. Let y be p\/(-1) + (-12)\/(-6). Solve y = -a + 2*g - 2, -3*a + 12 = q*g - g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1724*u**3 - 22*u**2 + 15*u - 4. Is v(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49120 + -28874. What is the ten thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3503345, 3503310, 3503275, 3503240, 3503205?\n\"Answer: -35*y + 3503380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*((-75)\/12)\/5. Let d = p - 43. Let i be d\/(-12) - 3\/(-12). Sort i, -4, 5 in increasing order.\nAnswer: -4, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 4*o**2 + 2*o**2)*(-92 + 44 + 32)*((-2 + o + 2)*(2*o + 1 - 1) + o**2 - 5*o + 5*o).\nAnswer: -432*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/70*((-10)\/(-4))\/(-1). Let r = 1 + z. Is 5\/(30\/112) + r\/9 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from moaomoxmxoao.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.268 and 0.03664088516.\nAnswer: 0.30464088516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o**2 - 4*o - 4. What is u(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/840 + 14\/80.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -546 + 574. Let d = 293 - 162. What is the remainder when d is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*w = -9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2805854885?\nAnswer: 5, 41, 13687097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 11. Let p be y(-9). Let r = 3 - 2. Let u = p + r. Sort -4, u, 4 in decreasing order.\nAnswer: 4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 0*x + 3*x**2 + 3 + x**3 - 3\/4*x**4. Factor v(t).\nAnswer: -3*t*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 7.1. Let c = u + -6.5. What is the nearest to -2\/5 in c, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 6696.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 + 160*r. Let w(n) = -3*n**2 - 161*n. Calculate -2*v(p) - 3*w(p).\nAnswer: p**2 + 163*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -6*m + 124. Let f = -121 + m. Let k(d) = 5*d**2 + f*d**2 - 7*d**2. Let y(g) = 29*g. Calculate k(y(l)).\nAnswer: 841*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6141 divide 312245286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + f - 6*f + 37 = 0, 17 = 3*r + f. Solve -r*q + 35 + 3 = -6*j, q - 2*j = 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**4\/16 - 3*t**3\/2 + 27*t**2\/2 + 39*t. Factor q(y).\nAnswer: 3*(y - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15742624 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45517, 45478, 45439, 45400?\nAnswer: 45361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 746 - 738. Let l(x) be the first derivative of 3\/4*x**2 + o - 3\/4*x - 1\/4*x**3. Factor l(r).\nAnswer: -3*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+3610.03\nAnswer: 3610.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1030 (base 6) to base 10.\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + (8 - 7) - 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 16. Let o = -40 - -83\/2. Which is the nearest to -3? (a) -1\/3 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 19*i + 55 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g + 8*g)*(-g**2 - 16*g**2 - g**2)*(0*g + 0*g + g + (0*g + 5*g - 4*g)*(-6 - 7 + 4)).\nAnswer: 1296*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3037 + -1545. Suppose -s - 5292 = -r. What is s rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2079 by 63.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**3\/7 + 140*x**2 + 5056*x\/7 - 2000 = 0.\nAnswer: -7, 2, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 8*i**2. Let g(c) be the third derivative of 41*c**5\/60 - 7*c**4\/12 + 3300*c**2 - c + 2. Determine g(v(t)).\nAnswer: 2624*t**4 - 112*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2049, 4099, 6149?\n\"Answer: 2050*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -352*f**2 - 22*f - 104. Let g(l) = 88*l**2 + 5*l + 26. Let n(v) = 9*g(v) + 2*z(v). Find the second derivative of n(u) wrt u.\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1404 - -3?\nAnswer: 1411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*-1*-3 + (sqrt(32)\/sqrt(4))**2.\nAnswer: 3*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) - 2*(-2 + sqrt(1100))) + 1 + sqrt(1100) + -5 + (1 + sqrt(1100))*-3 + -2 + sqrt(1100)*-6)**2.\nAnswer: 900*sqrt(11) + 89125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5596 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 23983 times 22.3\nAnswer: 534820.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 6*h + 10 = 10*h, -4*h = -v + 11 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 41 - 5. Let x be ((-4)\/6)\/(q\/18). Let a = x - -4. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1104 or 170908\/155?\nAnswer: 170908\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1037.963 - 0.037. Let q = 1039.282 + s. Round q to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/19 - 9034*y**3\/19 - 20776*y**2 - 263840*y - 14313600\/19 = 0. Calculate y.\nAnswer: -4473, -20, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**9\/a)\/((a**(-1\/39)\/a)\/a))\/(a\/a**(-24))**(-24\/7) assuming a is positive.\nAnswer: a**(26137\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 47904*-52\nAnswer: -2491008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28 - 60028)\/(-2*4\/64). What is a rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 2*h + 152848 = -4*u, 2*u - 2*h - 76412 = 0. Round u to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*t - 3*y - 8, 5*y = -5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + (-2)\/2)\/(-2). Suppose j - 2 = -q*j. Factor 2*w**2 - 2*w**j + 3*w**5 + 7*w**3 - 4*w**3 - 6*w**4.\nAnswer: 3*w**3*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -520, -1236, -2228, -3490, -5016, -6800, -8836?\nAnswer: -11118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.8579 years in centuries?\nAnswer: 0.128579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 24*j + 2. Let p be n(24). Suppose -p*f = 2*l, f + 12 = 5*l - 12. Solve -3*m - 4*q + l = 0, 2*m + q - 1 = -0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12834 divided by 62\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from {h: 4, r: 2, m: 3, w: 2, d: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46597 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11295 and 675?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(-6)\/o))\/o*o)\/(((o**6\/o)\/o)\/o)*((((o*o\/o**(-1\/2)*o)\/o)\/o*o)\/o*o)\/o**(5\/4) assuming o is positive.\nAnswer: o**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1177194 and 230082.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15373.\nAnswer: 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.07 (b) 20 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 58*v - 1. Let y(d) be the second derivative of d**3\/6 + 63*d. Determine i(y(u)).\nAnswer: 58*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 18 + 10)*(15*r - 7*r + 6*r)*(0 + 3*r + 0).\nAnswer: 1050*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5 + 170*k**4 - 174*k**3 - 39338*k**2 + 220780*k = 0.\nAnswer: -83, -19, 0, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/6 - 2\/4. Let f = -13 + 11. Put 3, f, u in decreasing order.\nAnswer: 3, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 67816083, 135632165, 203448247, 271264329, 339080411?\n\"Answer: 67816082*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*c + 2110 + 525 = 0. What is the smallest value in c, 0.3, 0.5, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 2*q**2 - q**2)*(-7*q**3 + 33*q**2 - 33*q**2) + (3674 + 46*q**4 - 3674)*(-2*q + 0 + 0).\nAnswer: -85*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {r: 1, h: 1, x: 2, t: 1, j: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4) - 1)*(-3 + 2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/2)\/(318\/(-212))*-3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1504648.\nAnswer: 2, 19, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/(30107\/33580) + 26\/221.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0*8998.84\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1787*i + 298357. What is g(167)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 4. Let p(k) = -k - 6. Let f(q) = 8*i(q) - 5*p(q). Let x be f(-1). Let g be 1 - (x - (2 + 2)). Sort g, -3, 5.\nAnswer: -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + (-14)\/28 - (415\/160 + -2).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52725 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.338 equal to -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821702 = -254*p + 784872 for p.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 7, y: 4}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 17*g. Let i be k(17). Let b(q) = -2*q + 5*q + 2 + i - 5*q. Let m be b(0). Let u(d) = 3*d**2 - 2*d. Calculate u(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -378.648 - -379. Let p = 0.352 - q. What is the second biggest value in 9, -1\/14, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -37 - (-88 + 2 + -1 - 20).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*y + 83*y + 1845 = -2*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -42560, -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, n: 5, c: 2}. Give prob of sequence sn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 235 and 1930?\nAnswer: 90710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-6)*m*m*m**(-2\/37)*(m**5\/m*m)**9 assuming m is positive.\nAnswer: m**(1552\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 + 3 - 1262770*a**3 + a**2 - 1 + 0*a**2 + 1523*a + 1262770*a**3 to n + i*a**4 + u*a**2 + h*a**3 + k*a and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxq when three letters picked without replacement from {t: 8, o: 2, q: 1, m: 5, x: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - (1209\/(-26))\/((-209)\/(-114))) + -9.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 16 + 7 = 2*b, 0 = -2*b - 6. Suppose 14 = -5*x + 34. Suppose -2*p + 2 = 0, -7 = x*s + o*p - 6*p. Let q(h) = 6*h**3. Calculate q(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 3*v - 5. Let f be z(5). Suppose -3*a + 29 = 3*d - 19, 0 = -f*a + 15. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/58708 and -23\/216768.\nAnswer: 2817984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 17763*k + 1101235. Determine c(-62).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*z**6 + 54814*z**3 + 158*z**2 + 30 wrt z?\nAnswer: -1080*z**3 + 328884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 136.\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 7*l**2 + 5*l + 6. Let f(x) = -x**2 - 11*x - 37. Let s be f(-6). Give g(s).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 1243965*v + 12439150.\nAnswer: 5*(v + 10)*(v + 248783)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuwsnuuksusa. Give prob of sequence ka.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -1, -0.09, 1\/4, -3, -2.53, -6\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 173*g + 51. Let x be o(29). Suppose 2*f = -2*m + x, 4*m + 7 = 19. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -7.78?\nAnswer: 23.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 4*w**3 + w + 5*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40803 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**5\/60 + h**4\/24 + h**3\/2 + 255*h**2. Give k(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 5*q**3 + q**3)*(-2*q - 2*q + 11*q) - 2*q**4 + 69*q**4 - 5*q**4.\nAnswer: 48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 3*a + 235. Let f be u(0). Suppose -f*v = -232*v - 27. Calculate the highest common divisor of 423 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/24*(-6)\/42.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/3 + 62*s\/3 + 64\/3 = 0. Calculate s.\nAnswer: -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - -1.95. Let g = -2.4 + w. What is the third smallest value in g, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**3 - 6*c**2 - 33*c + 4. What is the units digit of u(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 5*o + 160. Let h(k) = 12*k**2 + k. Let r be h(-2). Let g = r + o. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1809)\/(-351) + 2\/(-13). What is the common denominator of 19\/33 and (-14)\/(-28)*(-34)\/12*k?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2158914 decades to years.\nAnswer: 2.158914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3 (c) -0.2 (d) -0.53 (e) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56508957767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 306604139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 2*s + 443. Is x(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0605 - -5.4795. Let m = -0.54 + t. What is the nearest to 1 in m, -0.4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*u = -111*u - 207 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 7, o: 2}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*u**3 + 1544*u**3 + 545*u**3.\nAnswer: 1842*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2867?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 8837.9 times -0.2\nAnswer: -1767.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2001 (base 10) to base 8\nAnswer: 3721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -0.1. Let d = -0.1 + z. Let t = 1.03 - 0.93. Is t at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 45. Let f be h(8). Solve 0 = 2*o - f + 31 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 26. What is the biggest value in 0.1, h, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 0*p**2 - p**3)*(-1 + 5 - 6) - 2*p**3 - p**3 + 2*p**3 - 20165*p**3 - 26775*p**3 - 1545*p**3.\nAnswer: -48484*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*k + 93 = 0, 2*n + 0*n + 5*k = 39. Calculate the remainder when 78 is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047120 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52222 + -75?\nAnswer: -52317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - 0. Let g = p + 0.2. Let s = -1 - g. Which is the second biggest value? (a) 1\/10 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -58, -129, -248, -439, -726, -1133, -1684, -2403?\n\"Answer: -4*g**3 - 43*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 16 = -18*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - 4*m**4 + 2*m**4 + 0 + 10*m**4 + 4*m - 4*m + (3*m**2 - 1 + 0 - 2*m**2)*(-5*m**2 + 3*m**2 + 3*m**2).\nAnswer: 9*m**4 - m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1300320011 (base 4) to base 6.\nAnswer: -13524245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -92. Let h = c + 110. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152*s + 1313*s - 3747*s + 19980 = -1102*s for s.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 2*w - 1. Let j be i(-3). Let m = j + 29. Suppose 360 = -968*c + 990*c + 140. What is the greatest common divisor of m and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10666 smaller than 9592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(1\/18))**(-6\/25)*c**(-30)\/c*(c**(-7)\/c)\/c*c)**(-45) assuming c is positive.\nAnswer: c**1776","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6*u + 3*f - 21, -u = 5*f - 18. Let g(p) = -2*p**2 - 8*p - 4. Let b be g(-3). Solve u*l = -3*o, 5*l = b*o - 8 - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 10:35 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630377433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 213617 - 831598 = -3*t, -2*s = 3*t - 617969. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2387 - 113?\nAnswer: 2274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1113b?\nAnswer: -11139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17003761.\nAnswer: 1291, 13171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = z - 1241, 2*z + 3*n - 2416 = 4*n. List the prime factors of z.\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 3*k + 358 + 352 + 332 + 318 - 1422.\nAnswer: 5*k - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -1\/25*y**5 - 18 + 0*y**3 + 0*y**4 + 0*y - y**2 + 1\/300*y**6. Solve l(s) = 0 for s.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -44*s**2 - 3*s + 3. Let x(a) = -43*a**2 - 4*a + 4. Give 4*u(t) - 3*x(t).\nAnswer: -47*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 104*d + 35. Let f(r) = 105*r + 35. Let t(l) = 3*f(l) - 4*m(l). What is the derivative of t(g) wrt g?\nAnswer: -101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = 2*q. Let k be 4\/q - -1*2. Let t(u) = u**3 - 2*u**2 + 3*u - 3. Let d be t(2). Which is the closest to -0.1? (a) d (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 4*x**2 + 2*x - 2. Let c be g(-2). Calculate the remainder when (-106)\/(-6) + c\/6 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 162, 104, 48, -6?\n\"Answer: g**2 - 61*g + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1018*k**6 - 2*k**2 + 193 wrt k.\nAnswer: -122160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 2. Let u(g) = 15*g + 11. Let t(p) = -33*d(p) - 6*u(p). What is the least common multiple of t(1) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m**2 - 470*m + 232. What is t(-59)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1. Let j(u) = 2*u - 1. Let f(y) = 3*c(y) - j(y). Give f(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, u: 1, w: 1, d: 2, e: 3}. Give prob of sequence we.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/523066 or 0?\nAnswer: 3\/523066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/5, -0.5, 1\/16, 2\/7, 5 in ascending order.\nAnswer: -5, -0.5, -2\/5, 1\/16, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w + 12 = -9. Put w, 9, -4 in descending order.\nAnswer: 9, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*s - 20 + 8, 4*z - 36 = -2*s. Solve -20 + 4 = z*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -15939*s - 6853780. Give n(-430).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 6812 - 3228 + f - 3584.\nAnswer: -4*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c**3 - 15*c**2 + 10*c. Let q(a) = 4*a**3 - 9*a**2 + 5*a + 1. Let b(j) = -2*h(j) + 3*q(j). Give b(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -70*o + 1. What is a(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2134 and 1358?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -18*j - 3. Let n(w) = -53*w - 8. Let k(y) = 11*m(y) - 4*n(y). What are the prime factors of k(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 302*m**3\/3 - m - 70. What are the prime factors of x(1)?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Let p = 6 + r. Sort p, -1\/2, 4 in ascending order.\nAnswer: -1\/2, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 41907*q - 40. Let c(g) = -111750*g + 105. What is 8*c(m) + 21*y(m)?\nAnswer: -13953*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 862 is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyyyyyzy. What is prob of picking 1 z and 3 y?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -132*o**2*q + 41*o*q**2 + 9*o + 4*q**2 - 230342*q - 1 wrt o.\nAnswer: -264*o*q + 41*q**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*d + 65*d - 16*d - 15*d - 9*d.\nAnswer: 85*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 2. Suppose -s = -3*d + d. Suppose 4*w + q = 100, d*w - 18 = -4*q + 70. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-16))\/(258\/(-3870)*(-6)\/(-4))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*91.5257.\nAnswer: 45.76285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 566248?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*c**5 - 48840*c**4 - 154362*c**3 - 29408*c**2 - 1446*c = 0. What is c?\nAnswer: -241, -3, -1\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 7:17 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -112 times 0.13\nAnswer: -14.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4444559349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -193*p + 0*p**3 - 14 - 13 + 24 - 4*p**3 + 3*p**3 to the form m + z*p**2 + k*p**3 + w*p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 53.965629us?\nAnswer: 0.0000000149904525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 2*h**2 - 4*h. Let r(m) = -2 + 3*m + m**2 - 5*m - 2*m**2. Let g(a) = -2*a**2 - 5*a - 5. Let i(s) = 4*g(s) - 10*r(s). What is i(n(o))?\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-12) - ((-80)\/(-6))\/8.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1886211 = -7511095. Let h be (-2)\/7 - 16317725\/35. Let i = k + h. Round i to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 9 = 4*b + 80, 3*l - b - 56 = 0. Solve -10 = l*j - 12*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -132, -265, -398, -531, -664?\n\"Answer: -133*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/25*(-5)\/(-21))\/(78\/(-39))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 1:09 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + z + 94 = 0, -d + 46 = d - z. 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: Suppose 0 = -32*j + 37*j - 125. Find the second derivative of -135 + 37*d - j*d**3 + 42*d - 15*d**3 - 81*d wrt d.\nAnswer: -240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from bbvvbhhhvvvp.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102064520 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 188 - 207.4. Let c = 18 + n. Let x = 0.6 - c. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0395, 1\/45, 6, -0.24 in decreasing order.\nAnswer: 6, 1\/45, -0.0395, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -145.53 + -0.07. Let f = m + 146. Put -0.6, f, -3\/4, 3\/8 in decreasing order.\nAnswer: f, 3\/8, -0.6, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3 + 4*l + 3*l + 2*l**2 + 6 - 5. Let q be k(-4). Calculate the greatest common factor of 22 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4. Let h be 4\/(-4*d\/(-22)). Let l = -14 - h. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7521*p**2 + 4*p + 2. Let i(r) = 3015922*r**2 + 1606*r + 803. Calculate 2*i(u) - 803*o(u).\nAnswer: -7519*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26994503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4419.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = 2. Let c(g) = 10*g**2 + 7*g**2 - 15*g**h. Let l(q) = 28*q + 1. Calculate l(c(v)).\nAnswer: 56*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 4:35 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -17*x - 3. Let z = -1\/40 - 1\/10. What is the nearest to 0 in x, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2158\/(-182) + 14)\/((-7)\/49)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = -324. Suppose 2*k = -3*f + n + 18, -4*k = -f + 60. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6951977 and 16?\nAnswer: 111231632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1953+57\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 - -0.26. Let b = -0.3 + q. Suppose -3*o - 4*o - 7 = 0. Put b, 2\/7, o in descending order.\nAnswer: 2\/7, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.262163 rounded to 2 decimal places?\nAnswer: -4.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 2:30 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 79662168 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 10 = -2*r. Suppose -4*i + 5*i = r. Let k = 3 - -1. What is the remainder when i is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p**5*q**3 - 10*p**5 - 3*p*q**3 - 8*q**3 - 4*q**2 wrt p.\nAnswer: -100*p**3*q**3 - 200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/9 + 40*q**2\/9 - 56*q\/9 - 32 = 0. What is q?\nAnswer: -2, 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/2))**27\/(i**(-5)\/i*i)**47 assuming i is positive.\nAnswer: i**(443\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 978\/22 - (-689)\/53 - 36\/(-66).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -1 - 55\/(-3 + -2) and 52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73532173 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11014 is divided by 5117?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 26*v**2 + v**3 + v**3 + 17*v**2 + 17*v**2. Let q be x(-8). Solve 4*m - 14 + 2 = q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10228573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -223233442 (base 5) to base 11\nAnswer: -619065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 40*v**5 - 90*v**4 - 145*v**3 + 370*v**2 - 60*v - 40 = 0.\nAnswer: -2, -1\/4, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/2 - 1)\/1. List the prime factors of p*((-21)\/9 - 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218676.078ns to days.\nAnswer: 0.000000002530973125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/9)\/s**12*(s\/s**(-4))**21 assuming s is positive.\nAnswer: s**(838\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = -5*d + 112. Solve 0 = d*l - 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1127, -8 in ascending order.\nAnswer: -8, 0, 1127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-4*k + 19 - 19) + (k - 3*k + 0*k)*(2 - 2 + 2).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/3 - 31788488*s**3\/3.\nAnswer: 2*s**3*(s - 15894244)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 7*v - 6*v + 4*v**2 + 2*v + v**3. Suppose 5*t - 9 + 26 = -3*l, 18 = -4*l - 2*t. What is b(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6988831.\nAnswer: 61, 114571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18120*z = 21937*z + 19085 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*q + 9 - 14 + 34*q + (-4 - 1 + 3)*(-q + 4 - 4) to h + k*q and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2 - 6*q - 3. Let t(u) = -36*u**2 - 70*u - 35. Let b(v) = 140*o(v) - 12*t(v). Let h(w) = 21*w + 3. Calculate h(b(n)).\nAnswer: 252*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 7:51 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 10 = p + 2*p, 4 = -4*b - 2*p. Suppose -5*n + 10 = m, 2*m + 0 = -5*n + 15. Calculate the remainder when b is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22439973.\nAnswer: 3, 23, 325217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77019409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*a = -225*a. Solve a = 23*k + 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 176426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*u**4 - 49427*u**3 - 3671432*u**2?\nAnswer: -480*u - 296562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 8:39 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -49 + 3025. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172995986.\nAnswer: 2, 86497993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-4*-4 + -4 + (sqrt(7) + sqrt(7) + 1)**2.\nAnswer: 25 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.9415, -747, -3\/4 in increasing order.\nAnswer: -747, -10.9415, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 267 and 38626?\nAnswer: 115878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 223*d**5\/20 + 42*d**2 - 3*d + 3. Differentiate y(i) with respect to i.\nAnswer: 669*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 12*s + 52. Let r be g(15). Let p be 2 + r + -5 + 1 + 0. Solve -p*m - 2 = 5*d + 3, -5*m = d + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -106 + 113. Let t(k) = -k + 10. Let f be t(7). Let b(n) = n**3 + n**2 - n + 6. What is the remainder when b(f) is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.17.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 4) + (35 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4100 + -5935. Round p to the nearest ten.\nAnswer: -1840","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, 1\/5, 0.5, -0.36?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/5 - 498*r**2\/5 + 4842*r - 68094\/5 = 0. What is r?\nAnswer: -291, 3, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 345 + -345. Let n(d) be the second derivative of -2*d + h + 0*d**2 + 1\/100*d**5 + 1\/60*d**4 + 0*d**3. Find t such that n(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -8*b - 246. Is (-3)\/((b\/7)\/215) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124 - 55*j**2 - 93*j**2 - 132 - 9*j**2 - 2*j to the form v + p*j + t*j**2 and give t.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -3*s + 3*l - 5*l, -26 = 340*s - 338*s + 10*l for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -35 + 64*z**2 + 0*z + 3*z - 63*z**2. Let k be r(5). Factor -1\/3*d**2 + 0 + 1\/3*d**4 + 1\/3*d**3 - 1\/3*d**k + 0*d.\nAnswer: -d**2*(d - 1)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -9 + -16 + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -195*(3\/5)\/(-1). Suppose v = 3*g - 5*a, -2*a + 118 = 5*g - 46. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30683*t**4 + 17608 with respect to t.\nAnswer: -122732*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**3 - 2*d. Let s be m(2). Suppose -4*f - j + 23 = 0, 3*f - s = 4*j - j. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - (63\/(-6))\/3)*32. Suppose b*d - 128 = 12*d. Suppose 2*c = d - 0. Is c less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -971*o**3 + 2720*o - 130*o**3 + 2718*o - 8113*o + 2675*o.\nAnswer: -1101*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nknssqnfsqokfn. Give prob of sequence nsq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c - 4 = -13*c. Let v be (1 - (-56)\/(-10)) + 3. Which is smaller: c or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 9:45 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - h**2 + 2*h + 2. Let o be y(-3). Suppose -r + 5*b + 60 = 0, r = -4*b - o + 47. Does 15 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 + 2*p - 1. Let i be c(1). Let h = 0 + 2. Let z = 221730 + -221725. Solve -r = i, h*o - 3*r - 1 = z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 4) in base 14?\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:00 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 10333145?\nAnswer: -10333151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -9 + 9 - y. Let r = 2 - -4. Let u(g) = 4*g - r*g + 6*g. Give n(u(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**5 - 27*n**5 + 2*n**5 + (4 - 4*n**2 - 4)*(3*n**3 - 2*n**3 + 0*n**3).\nAnswer: -34*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*d + 239*d = 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**3 - 16*j**2 + 6*j - 21. Calculate the remainder when t(8) is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:08 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1\/325, -1\/5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -5*m**8\/2856 + 13*m**7\/1785 + 13*m**6\/510 + 4*m**5\/255 + 1607*m**2. Solve a(x) = 0 for x.\nAnswer: -1, -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1363358802?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -3*w**2 + 3*w - 142. Calculate v(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*x - 74*x + 57*x - 170*x.\nAnswer: -454*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25883, -103147, -231925, -412223, -644047, -927403?\n\"Answer: -x**3 - 25751*x**2 - 4*x - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010102100 (base 3) to base 14.\nAnswer: -8120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001156181 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-61 - 28) + (35 - -118)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -22. Let m be l\/9 + (-10)\/(-45). Let f(c) be the third derivative of -c**4\/24 - c**2. What is f(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(3\/29))\/h**(-1\/3) assuming h is positive.\nAnswer: h**(125\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of 10 + 58*s - 112\/3*s**3 + 1\/2*s**2. Find the second derivative of u(p) wrt p.\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609534255?\nAnswer: 3, 5, 11, 3694147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4)*6\/(-36). Which is the third biggest value? (a) 1 (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2342 - -2407)*(-3)\/5?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3900 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 8.1334007.\nAnswer: 0.81334007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z - 15. Let c be a(17). Let v = c - -165. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -4, 3\/5, 4\/5, 2\/9, 1\/209, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o - 1. Let f = 11 - 9. Suppose 4 = -f*l + 4*l. Suppose 5*i - 2 = -u, -l*i - 5*u + 5 = -6*u. Calculate h(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15331, 30686, 46041, 61396?\n\"Answer: 15355*q - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**4\/24 - u**3\/3 - 20*u**2 - 2. Give b(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323391050 to the power of 1\/3, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/30 + (-10)\/15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8236 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2*r**4 + 2*m**2*r + 3*m**2 + 10*m*r**3 + 38*r wrt r?\nAnswer: -12*m**2*r**2 + 60*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125912.\nAnswer: 2, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14.061436 - 0.3\nAnswer: -14.361436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuyy when four letters picked without replacement from {h: 1, i: 3, y: 4, u: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*b - 83*b + 339518 = 3017*b for b.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/8 + (13 - 275\/20). Let r(j) = -j**3 + 4*j**2 + j. Suppose 2 = 2*p - k + 3*k, 5 = -p - 3*k. Let w be r(p). Sort o, w, -1 in descending order.\nAnswer: w, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2684?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253140 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4919*b + 14219. Determine a(-3).\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 51*o**3 - 2*o**2 - 50*o**3 + 5*o + 0*o**2 - 6. Let y be x(2). Suppose -y*v = -3*m - 265, -4*m - 6 + 96 = v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**3\/2 - 808943*g**2\/2 + 1617889*g\/2 - 808945\/2 = 0.\nAnswer: -808945, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 199377286 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.5, -91 in decreasing order.\nAnswer: 0.5, 0.4, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3326*q + 3339*q - 104 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(76)*3)\/((sqrt(4) + (sqrt(64) - sqrt(4)))*-5))**2 + 1 + (2 + sqrt(114)\/(sqrt(600) - (-2*sqrt(600) - sqrt(600))))**2.\nAnswer: sqrt(19)\/10 + 8703\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4281118 is divided by 1083.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 4*c - 6*c)*(4 - 1 - 2)*(3 + 2*c - 3).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w**4 + 9*w**4 - 2*w**2 + 2*w**3 - 1 + 3*w**2 to the form u + y*w + x*w**4 + j*w**2 + o*w**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -640*r + 4483. Determine j(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/1334 and (252\/(-30))\/(-2*2 + 364\/280).\nAnswer: 12006","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8200.613 nanometers in centimeters?\nAnswer: 0.0008200613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 9:41 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.041 (b) 2\/7 (c) -0.061\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1407\/(-804)*138\/(-21)\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50220?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 7*s**2 + s - 4. Determine z(-6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3600765 and 2205?\nAnswer: 3600765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 44113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -10. Suppose -4*f + 5*p = -37, -g*f + 6 = -p - 14. Solve -f*b = 3*n, 16 + 4 = -4*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 368 - 372.722. Let a = v + 4.7. Round a to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 14. Suppose 1 = -c*n + f, 6*f - 3*f - 3 = 0. Suppose n*s = 5*s - 80. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.74*0.1\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 21 - 15 = 0. Let a be 6 - q*((-2)\/(-2) + -2). Factor -k**a - 4\/3*k + 8\/3 - 10\/3*k**2.\nAnswer: -(k + 2)**2*(3*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1048 - 1047. Let q = 29.9 + -30. Let w be 2 - 3 - (-30)\/26. Which is the closest to q? (a) t (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 459 - 459 + 3*u to s + c*u and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 5*g. Let d be p(-8). Suppose 4*w + 20 = 5*w + 3*i, 0 = -2*w - 2*i + d. Calculate the least common multiple of 98 and w.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqnnnznjjqjqqcjqqzq. What is prob of sequence zqn?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/33, -15, 1\/6.\nAnswer: -15, -2\/33, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32998374 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 10*a - 23. Let d be p(-5). Let w be (-4)\/6*(d - (-65)\/(-30)). What is the third biggest value in w, 4, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -446\/1635 and 0.05 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*a - g, 2*a + 3*g - 7 = 8. Let b = 243 - 203. Solve -b*t + a = -42*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -90*i**3 - 3149*i**2 + 38*i + 110. Let z be m(-35). Let 0 + 104\/5*c**4 + 28\/5*c**z + 108\/5*c**3 - 16\/5*c + 16\/5*c**2 = 0. What is c?\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 15. What is the highest common factor of 10 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44157113?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11654413 to the nearest integer?\nAnswer: 3414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 308 - 298. Solve -5*m + p*m - 15 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.4 - 3.5. What is the nearest to u in -2\/3, 1\/4, 3\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 83*s - 11. Let r = 18 - 12. Let t(z) = z. Let k(v) = r*t(v) - i(v). Is k(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 1)*(-2*c**4 - 3*c**4 + 3*c**4) - 166*c**3 + c**4 + 1 + 166*c**3 to the form i*c**2 + u*c**4 + t*c + l + k*c**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 11. Let r = 5.0311211602 - 0.0311209802. Let y = v + r. What is y rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 30.2 (c) 65\/4 (d) 1.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10744, 21462, 32158, 42820, 53436, 63994?\n\"Answer: -2*o**3 + o**2 + 10729*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55.7 + 63.7. Which is the third biggest value? (a) -0.8 (b) k (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-16)\/d)**48\/(d**12)**(-41) assuming d is positive.\nAnswer: d**(-324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -823548 (base 9) in base 8?\nAnswer: -1671326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/7189 and -40\/49?\nAnswer: 50323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-49 - (11 - ((18 - 10) + -2)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/27 + 2\/(-3). What are the prime factors of 1*4 + x\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.004 - -89.996. Let n = 92.68 - r. Round n to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28.17523 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6939409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 396740, 396758, 396776, 396794, 396812?\nAnswer: 396830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44)\/3*-1*3. Suppose -2*w + 180 = -4*q, q + 210 = -4*q - 5*w. Let t = q + b. Solve t = -h + 2*h - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 29 + 109. Let v(s) = -s - 16. Let c be v(i). What is the common denominator of 29\/10 and c - -2 - 108\/(-32)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*y + n, -y + 5*n = -5*y - 13. Suppose 49*z - 46*z - 5*r - 59 = 0, 3*r - 40 = -4*z. What is the lowest common multiple of y and z?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -2*p**2 - 1 + 7\/4*p**4 - 7\/6*p**3 + 4*p. Find the second derivative of n(a) wrt a.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 447 + 447 - q)*(-72 + 74 + 303) as m + v*q and give v.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20453*u*w*x + 1354252060*u*w + 152*u*x - 2*w*x - 2*x wrt x.\nAnswer: -20453*u*w + 152*u - 2*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o. Let c(v) be the third derivative of 0*v**4 - 1\/10*v**5 - v**2 + 0*v**3 + 0 + 0*v. What is c(g(k))?\nAnswer: -54*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 150, 175, 220, 291, 394, 535?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -15*t**3 + 5*t**2 + 2*t - 7. Is y(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47085 is divided by 327?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -9. Let z(h) = -h**3 - 6*h**2 + 8*h + 2. Let v be z(-7). Which is greater: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440\/930*91068 + 2\/62*2.\nAnswer: 2, 3, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -17 - h**2 + 6*h**2 + 12*h**4 + 10. Let n(r) = -12*r**4 - 5*r**2 + 6. Let k(s) = -6*m(s) - 7*n(s). Find the third derivative of k(w) wrt w.\nAnswer: 288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -818328 + 431*t**3 - 8*t**3 + 818331 as h*t**3 + a + n*t**2 + k*t and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + (sqrt(1584)*-1 - sqrt(1584)) + sqrt(1584))*3 + 1 + 3)**2 + -5 + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) -2112 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.2. Let k be (-17)\/(-36) + (-6)\/27. Let i = 16 - 17. What is the closest to k in i, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1441*-1.4.\nAnswer: 2017.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -863 = 56*z - 4*z - 31 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 w, and 1 h when three letters picked without replacement from {j: 1, x: 1, r: 2, w: 8, c: 1, h: 4}.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Convert -4021365 (base 7) to base 3.\nAnswer: -220011212020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 198990*a. Let n(x) = -9*x. What is k(n(r))?\nAnswer: -1790910*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 7449.71 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -17*z**2 + z + 109. Calculate o(7).\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8934 divided by -4467.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3 - 3. Suppose -2*n - z - 20 = -4*x, -5*x + 3*n + 35 = 0. Suppose 0*t + t - 4*c - 65 = 0, -x*t - 5*c = -155. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - (5 - 3))*88\/(-2). Suppose -1724 = -4*r - j. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9184\/(-852))\/(-2)*18. Let f(v) = -v**2 + 3. Let w be f(-10). Let h = z + w. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*h - 85, 4*d + 54 = 3*h - 60. Let x = 354 + d. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.37805 and 8.\nAnswer: -3.0244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248676 is divided by 1793.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3727315 is divided by 403?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 1, 1\/4, -346, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -392 + -2?\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-16264159.\nAnswer: -1301132.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365 is divided by 276?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**3 - 52*g**2 - 47*g + 65. What are the prime factors of c(22)?\nAnswer: 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 5*y - 3*p + 2, 3*y - 4 = 8*p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 643 + -198. Suppose 0 = 2*t - o + 97. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 7 - (17 - 16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1915.408824 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -95621, -95111, -94601?\n\"Answer: 510*l - 96131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10330010312 - -3?\nAnswer: -10330010303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 1 - (395 - 408).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/(10\/5980). Let o = f - 294. Which is the nearest to -2? (a) -4 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 3) + -8 + 4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 4650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.9 + -11.9. Let y = -6.9439 - h. Round y to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4743 + -80655\/17. Is -2 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {w: 5, a: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 - ((-14 - 8) + 16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/392 and 37\/98.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w. Let m(a) be the second derivative of a**3\/3 + 9*a**2\/2 + 4*a - 1. Let j(i) = i + 1. Let s(y) = -18*j(y) + 2*m(y). Determine s(t(z)).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 236269357 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 2764?\nAnswer: -55.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-28))\/(-2)*-7. Let m be 11\/3 + 6\/z. Factor -m - 2\/3*v + 2\/3*v**2 + 2\/3*v**3.\nAnswer: 2*(v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**4\/24 - 2827*r**2 + 2*r. Let z(s) = -2*s. Calculate 15*t(m) - 6*z(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a = -2*a - 35 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2982 + -2980. Solve d - l + 20 = 4*l, 3*l = g*d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-585)\/(-130)*4\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1218379*j + 4*j**2 - 1218379*j.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120433 (base 10) to base 8.\nAnswer: -4214261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 193a05e (base 15) in base 13?\nAnswer: 3a77c1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u**2 + u - 2. Let q be w(-5). Suppose -3*l + q = 5*m - 487, -2*m = 4*l - 286. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-12)*((-6)\/(-12)*-16 + 5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 384.1 - -559298070.8.\nAnswer: 559298454.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 325.8\nAnswer: -1629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/196 + 1\/4)*-1. Suppose d - 2 = -1, 2*d + 8 = 5*j. What is the nearest to 0 in j, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*p + 7. Let t be (-1)\/(1\/(-2 + -1)). Let i = t - p. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347 = 4*y - 5*p, p + 174 + 100 = 3*y. What are the prime factors of y?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1582927\/276 + 45885\/8. Let o = r + -1\/138. Which is the third biggest value? (a) o (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-108)*(-3)\/(-10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 348023?\nAnswer: 348022.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -9*a**2 - 3*a + 6 - 3*a + 0*a. Let v(t) = t**2 + t - 1. Determine -p(j) - 6*v(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3196 + -3200. Which is the closest to -3\/4? (a) -3\/4 (b) 4 (c) 1\/11 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 6378060?\nAnswer: 6378060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 9:06 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(325) - (2 + sqrt(325) + sqrt(325))**2) - (4 + sqrt(13) + 0 - (2*sqrt(65))\/sqrt(5)).\nAnswer: -2612 - 69*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31270 + 137*p**2 - 15649 - 15621.\nAnswer: 137*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 6 (b) 0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 2*l + 3*l)*(-2 - 4 + 4) - l - l + 3*l - 3 + 3 + l - 4*l - l + 6*l + (-4*l - 1 + 1)*(2 + 1 - 1) - 2*l + 0 + 0.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121111 - -11?\nAnswer: -121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3832*p*v**3 + 35*p*v - 131111475*p - 25*v**2 + 1 wrt v.\nAnswer: 11496*p*v**2 + 35*p - 50*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n. Let z(o) = -1285*o + 271 + 641*o + 645*o. What is z(f(m))?\nAnswer: m + 271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21231 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 + 2*t - 5. Let m(a) = -10*a**2 + 4*a - 12. Let f(o) = -o**2 - 1. Let y(i) = f(i) - m(i). What is 7*r(l) + 3*y(l)?\nAnswer: -l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/10*-105*99\/(-8316).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002084 to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -212 - -220. Let t(i) = 269375*i**2. Let w be t(g). What is w rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbab when four letters picked without replacement from {b: 10, e: 7, a: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5371, 0, -5, -76, -13 in increasing order.\nAnswer: -5371, -76, -13, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -66, 22, 0, -133, 1 in descending order.\nAnswer: 22, 1, 0, -66, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 13*k - 21. Suppose 0 = 3*t - 6*t + 2*o + 41, 3*t - 17 = -4*o. Give z(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 107.9, 1\/2, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14996, -14610, -13938, -12956, -11640, -9966, -7910, -5448?\nAnswer: -2556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -105 (base 7) to base 8\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9366500 rounded to the nearest one hundred thousand?\nAnswer: 9400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 78624 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 the value of (22\/(-143))\/((-42)\/(-91))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107.757 + 0.243. Let d = -113 + j. What is the third biggest value in d, 9, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1662)\/10188 - 3\/(-18). Let z = p - 577\/3113. Sort z, 4, 6.\nAnswer: z, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -271, 3, 1, 2518.\nAnswer: -271, 1, 3, 2518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*s + 385, -2*z = -0*z - 3*s + 225. Let i = -25 - z. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 8. Suppose 4*s = -2*c + 28, -2*s = -s - 5*c + 15. What is the lowest common multiple of s and k(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, -259, 0, 11, -7 in descending order.\nAnswer: 11, 0, -7, -194, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1109923 is divided by 369922.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 361*l**4\/12 - 19*l**3\/2 + 9*l**2\/8 - 126*l. Solve b(k) = 0 for k.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 658078 - 658078 - 2*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1266\/35448)\/(2\/(-204)))\/(6\/(-35)).\nAnswer: 85\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -16*g, m = -5*g + 75. Calculate the greatest common divisor of 105 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 84 - 7 - 8?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05663 * -1149.\nAnswer: 65.06787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 72 - 143 = 0. Let q = 38 + o. Suppose -b = 2*b. Put -2, b, q in ascending order.\nAnswer: q, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.5, 1, 32, -2\/11 in ascending order.\nAnswer: -17.5, -2\/11, 1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29317 - 3?\nAnswer: -29320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5493053021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -0.07003?\nAnswer: -0.12997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -2. Let w be (-8)\/(24\/5) + 4\/6. Let m = 10 + -14. What is the second smallest value in w, m, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 2*h + 2*h)*(57*h**3 + 5*h - 19 + 67*h**2 - 64*h**2 - 59*h**3) in the form k*h**3 + n + i*h**2 + c*h + g*h**4 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 3*b**2 + 2*b - 1. Let w be x(2). Let t(p) = 2*p - 16*p + 10*p + 12*p + 12*p. Give t(w).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -8*t + t. Suppose -17*i - t = -13*i. What is the units digit of 44 - (i - (-1 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuju when four letters picked without replacement from ujjjjjjujjjjujujjjuj?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 218 + 61 = 4*z, 3*z = 2*v + 204. Suppose 51*c - z*c + 60 = 0. Solve -2*r - c + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -211765 - -211785.00135. Let z = 20 - m. Round z to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**1*k)**(-15\/8))**(-41) assuming k is positive.\nAnswer: k**(1845\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -135*n - 1451. Determine m(-11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(30*v**5 + 91*v**2 - 91*v**2) + 84472*v**2 + 205 + 2*v**5 - 84472*v**2 + 217.\nAnswer: -58*v**5 + 422","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 3*p + 0*p + (2 + 2 - 5)*(3*p - 4*p + 0*p))*(4 + 4 - 3)*(2*p + 2*p + 0*p).\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 u when three letters picked without replacement from {s: 4, z: 2, u: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 - j - 3*j**3 - 2*j**2 - 3*j**4 + 5*j**4 + j**4 to the form l*j**2 + s + q*j**4 + c*j + i*j**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/(4158\/44))\/(32\/2160).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138618311?\nAnswer: 13, 2861, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 9. Let r be n(-5). Let j = 48.0817 - -0.0183. Let w = -48 + j. Which is the biggest value? (a) 14 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1197506 and 1373.85.\nAnswer: 1373.7302494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*c - x - 3, 3*c + x - 2 = 0. Let y be (c - 2) + 44\/2. Let d = y - 13. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424880.\nAnswer: 2, 5, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.3, 2.306, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -621*g**3 + 4*g**2 + 247. Let m(v) = -v**2 - 2. Let d(x) = 6*m(x) + w(x). Find the third derivative of d(i) wrt i.\nAnswer: -3726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*t + 0 - 2*t)*(-3*t**2 + 7*t**2 - 8*t**2) + 3*t**3 - 4*t**2 - 4*t**3 + 3*t**2 to the form k*t**2 + x*t + q + n*t**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 11*x**2 - 7*x - 1. Let g be p(12). Suppose -3*v = -4*v - g. Let h = -25 - v. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 8*n. Let c be a(-5). What is the units digit of 1\/(1 + 2) + 475\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157 and 910757.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 13389 + 13538 - 7*r to l*r + f and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Express -409 + 23*f + 409 in the form w*f + v and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4486*j**2*l**3*z**2 + 4*j**2*l - 2*j**2*z**2 - 5*j*l**3*z**2 - 2*j*l**2*z**2 - 166*j*l**2*z - l**3*z wrt j.\nAnswer: -8972*l**3*z**2 + 8*l - 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169 + -86. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, -1\/159, -9.5, 9, 2\/17 in descending order.\nAnswer: 9, 2\/17, -1\/159, -0.16, -9.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7695*q - 16265*q + 5973*q)*(q - 4*q - q).\nAnswer: 10388*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8277 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -4767?\nAnswer: -476a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y - 3. Let h be q(-8). Let t = 11 - h. Let j = 10 + t. Calculate the remainder when 14 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 3, q: 2, v: 1}. Give prob of picking 1 l and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 31. Is (-212 - -1)*(-1 + v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 6:26 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8 + 7*j**2 + 3*j**2 + j**3 + 9*j + 8. Let a be c(-9). Suppose a = -4*s + 5*l + 34, -5*s - l = -19 - 9. Is 1 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, -13, -49, -107, -193?\n\"Answer: -k**3 - 2*k**2 - 7*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 10:46 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(1539) + -5*sqrt(1539))*3*1 + 3)*-1)**2*-4.\nAnswer: -886608 - 5184*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 40417?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(((m*(m\/m**(-22))\/m*m)\/m)\/m))\/(m*(m\/(m*(m**(2\/39)*m)\/m))\/m))\/(m\/((m\/m**(2\/19))\/m)*m*m\/(m\/(m\/(m\/m**(6\/13)*m)))) assuming m is positive.\nAnswer: m**(-16684\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -7*l + 45*l**3 - 47*l**3 + l + 4. What is the derivative of n(a) wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -4. Let j = -0.33 - 0.07. Which is the nearest to -2? (a) 2\/5 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 837211*x**3 - 47379*x wrt x?\nAnswer: 5023266*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from jactjcajtqcctqcc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 11. Let s(u) = u**3 + 5*u**2 + 2*u - 5. Let t be s(f). Suppose 134*a = 68*a + 66. Solve -2*r + t = a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1587, -14369, -49577, -118425, -232127, -401897, -638949, -954497?\n\"Answer: -1869*p**3 + p**2 + 298*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 3*l + l)*(62 - 1851 + 3179 + 3287)*(-2 - 3 + 3).\nAnswer: -18708*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1033, -4141, -9389, -16777, -26305?\n\"Answer: -1070*k**2 + 102*k - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 2*s + 2*s + 7 + s**2. Let c = -5 - -3. Let x be 1*(-4 - c - 3). Calculate m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/(25 + -18) - (4 + 64)\/4. Suppose 2*p = -2*i + 2, 2*i - 6 + 2 = 0. Sort p, -6, a, -3 in decreasing order.\nAnswer: p, -3, -6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -2\/145 (c) -379\/3 (d) 4 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121)*1*1 + sqrt(121) + 6*2*sqrt(121))\/(2*(sqrt(77)\/(sqrt(7) + sqrt(112)) + -1*sqrt(176))))**2.\nAnswer: 13475\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-2))\/((-17)\/(-408)). Suppose -4*v = -t + 12. Calculate the least common multiple of v and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h + 41*h = 5*j - 19, j + 76 = 12*h. Calculate the remainder when 18111 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 19165*f + 6110910.\nAnswer: 5*(f + 351)*(f + 3482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (4 - 132\/15))*-5. Let t(u) = u**2 - 12*u + 9. Let h be t(10). Let d = r - h. Sort 1, d, -1, 0.\nAnswer: -1, 0, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8.367774mm?\nAnswer: 0.000008367774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10*(-20)\/16*2. Is 2 - 1*5*y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iixi when four letters picked without replacement from {k: 3, i: 3, x: 1, w: 7}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 342?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 70*x**2 - 111*x. Let y(o) = -93*o**2 + 147*o. What is 9*t(q) + 7*y(q)?\nAnswer: -21*q**2 + 30*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 11*f**3 - 10*f**2 - 7*f + 11. Let k(r) = 7*r**3 - 7*r**2 - 4*r + 7. Let t(n) = -5*j(n) + 8*k(n). Determine t(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3654 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*((-15)\/(-6) + -3). Let j(a) = -a**3 + a**2 + 2. Let v be j(p). What is the third derivative of 5*l**5 + 4*l**2 - 2*l**2 + l**v + l**2 wrt l?\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**2 - 6*u + 8. Let c(a) = -112*a**2 + 13*a - 6. Let w(f) = 50*f**2 - 6*f + 3. Let p(q) = -4*c(q) - 9*w(q). Calculate 4*b(t) + 11*p(t).\nAnswer: 6*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*t - 11*t - 4*t to d + v*t and give v.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 3*z + 17. Let b be v(5). Suppose 29*h - 96824 = -b*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108 - -233) + 8 + -11 + -1 + -7.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x - 8. Let l = -10 + 61\/6. Let d(b) be the third derivative of -l*b**3 - 1\/24*b**4 - 2*b**2 + 0 + 0*b. Give -6*d(a) + i(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 78974483 and -0.1.\nAnswer: 78974482.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**2 + 144*o**4 + 149*o**4 - 439*o**4 + 145*o**4 - 145 in the form v*o**2 + p + j*o**3 + d*o + q*o**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -7) + -11 + -7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 - -0.21. Let p = r + -5.07. Which is the smallest value? (a) 1 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1437 and 0.26.\nAnswer: 0.037362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 k when two letters picked without replacement from iiqqqkikqi.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/120)\/(61\/9272)*-1?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 16*o - 7. Let p be k(12). Differentiate 36*s + p*s - 78*s - 6 with respect to s.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-18) + 0)\/((-2385)\/64899). Let d = 26\/265 + u. Find the common denominator of 17\/12 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 44.18. Let k = -0.18 + r. Are 2\/13 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -65*w + 345. Let h(j) = -22*j + 115. Let m(x) = 10*h(x) - 3*l(x). Calculate the remainder when 57 is divided by m(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*w**2 + 259*w + 11*w - 67*w**2 + 150*w**2.\nAnswer: 8*w**2 + 270*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 124)\/(1\/(-3)). Suppose -o - 75 = 4*x + 2*h, 0 = 2*x + 2*h + 214. Let r = x - -170. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 5*g + 5. Let r(q) = -4*q**2 + 12*q - 12. Let j(k) = -2*k**2 + 6*k - 6. Let m(a) = 5*j(a) - 3*r(a). What is 6*i(v) - 5*m(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.2 less than -71.85669?\nAnswer: -86.05669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.67605\nAnswer: 1.3521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 7:02 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.00987957 >= -1\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*f - 6*f - 3 = -0*o, 463 = 5*o + 146*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**8\/420 + 2*x**7\/105 - x**6\/30 + 19*x**3\/6 + 7*x**2. Let w(h) be the first derivative of o(h). Factor w(a).\nAnswer: -4*a**2*(a - 3)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y, -4*w - y = -80. Determine d, given that 4*d**3 + 8 + 60*d**4 + 2*d**2 - 64*d**4 + 10*d**2 - w*d = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 9*i**2 + 10*i + 4. Let s be r(10). Solve d = -d + 2*f - 2, 0 = -d + s*f - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21789 is divided by 295.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*s = 3*v - 57*s - 65*s + 104, -5*v = -66*s + 464 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3187 and -374294344558.\nAnswer: -374294347745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84525705, 84525703, 84525701?\nAnswer: 84525699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3 - 9480*k**2 = 0.\nAnswer: 0, 4740","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 4. Let q(s) = s**3 + 9*s**3 + 1 - 5*s**3 + 2*s**3. Give q(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, a: 1, g: 1, x: 1, f: 1}. Give prob of picking 1 d, 1 f, and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.74 + 0.26. What is the third biggest value in -2\/7, a, 1\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -37. Suppose 0 = -2*k - 3*f + 398, -2*f = v*k - 5*k - 1017. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) - 44\/(-8). Suppose -b + 12 = p. Find the third derivative of b*n**2 + 3 + 7*n**3 + 0*n**2 - 3 wrt n.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:17 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (28\/(-56))\/((-2)\/(-16)). What is the remainder when (4\/b)\/(507\/127 - 4) is divided by 69?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 + 90. Let b = -1.4 + -8.8. Let k = p - b. Do 0.2 and k have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from zcciczcziiiiciiz.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 186.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 3*w - 4*w. Suppose -102*s + 166 = -w*s. Let h = s - -43. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27666 = -4930*y - 2225*y - 23272 - 492842 for y.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -62308.2375 to the nearest one thousand.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -76*z + 16. Let n be y(-2). Calculate the highest common factor of n and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4\/5 + 842*i**3 - 6420073*i**2\/5 + 837389208*i - 989077986576\/5 = 0. What is i?\nAnswer: 716, 1389","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 78590160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52\/369 or 3\/61?\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 117\/(-6) - ((-2268)\/(-8))\/(-81)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 times -0.0232\nAnswer: -0.002552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150245*i**3 - 149867*i**3 + 300115*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:07 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**5\/20 + 13*p**4\/4 + 26*p**2 - 80*p. List the prime factors of u(39).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -a + 4*a - 5, -4*b - 10 = 2*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -1 + 0*k**2 + 0*k - 1\/6*k**3 - 3\/8*k**4. Suppose q(n) = 0. Calculate n.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 + -30. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5) - 4*91\/(-1040)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + 20 + 22*q**3 + 9*q**3.\nAnswer: 31*q**3 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 338027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**4\/4 + 1332839*x**3\/4 + 3998529*x**2\/2 + 3998533*x + 2665690 = 0.\nAnswer: -2, 1332845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/22 (b) -0.15 (c) 1 (d) -5 (e) 0.5 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xal when three letters picked without replacement from xahlz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3680.6 - -3381. Let l = -299.61917 - k. What is l rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -683843599 from 10546.\nAnswer: 683854145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -20. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451383377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-79)\/(((-29)\/(-58))\/((-10)\/(-20)))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -71192.8.\nAnswer: -71193.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 19*x - 14*x - 8 = 0, 4*m + 2*x = -2*x + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1019, -29, -4, -2\/13.\nAnswer: -29, -4, -2\/13, 2, 1019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -279*s**8\/28 + 605*s**4\/4 + 24*s - 9. Find the third derivative of o(a) wrt a.\nAnswer: -66960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -288.45 - -181.45. Which is the second smallest value? (a) v (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 518*o**2 + 208*o.\nAnswer: -o*(o - 104)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1313 + -1310. Suppose 4*p + 1 = -3*a, p - a + 5*a + 10 = 0. Suppose -10*o = -7*o + q - 11, -2*o + 2*q = -2. Solve -h = -p*f + o for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-304)\/(-30) + 14\/(-105). Suppose -l*c + 0*c + 1500 = 0. Calculate the greatest common divisor of 12 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*u - 18 - 35, -4*l - 20 = 0. Suppose 89 = 4*y + 5*j, -2*j + 17 = 3*y - 41. Calculate the greatest common divisor of y and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/1537, 1\/3, -8, 2.327?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 + 3605*h**3 + 6*h**2 + 4005*h**3 - 7135*h**3.\nAnswer: 475*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkbbbdukbub. What is prob of sequence bd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -6*w**4 + 68*w**3 + 54*w**2 - 68*w - 48 = 0.\nAnswer: -1, -2\/3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/6)\/(2\/(-6)). Let k = 3.6 + -0.6. Let v = -2.9 + k. Which is the closest to v? (a) 0.4 (b) j (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 0 - 3*h + 0. Let q(y) be the second derivative of y**3 - 2*y. Calculate f(q(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14\/52)\/(-7)*24\/(-3))\/2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*p**3 + 106*p**3 + 113*p**3 - 2*p**2 + 106*p**3.\nAnswer: p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2 + sqrt(612) - (-3 + sqrt(612) + -1)) + 2)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n = 12, -i - 3 = n. Let h be 0 + 3 + i + 7. Suppose -3*a = -8*a + 5. Are h and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 9. Suppose 3*i = 6, s*u = -0*u - 5*i - 5. Let m(l) = 98*l**2 - 15. Is m(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*j**3 + 1089 - 1088 - 284*j**3 + 168*j**3.\nAnswer: 10*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-10 - 1468\/(-592)*4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1487 + -2891. Let r = 9798\/7 + y. Calculate the common denominator of -14\/13 and r.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = -2. Let s be f\/9 + (-10)\/(-3). What are the prime factors of 1\/3*s + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(0 - 2) - 2. Let l = -108 + 108. Which is greater: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**4\/6 - r**2. Let z(q) = -q + 5. Let j(t) = -t + 6. Let x(k) = -5*j(k) + 6*z(k). Determine c(x(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -8, 14, 58, 130, 236, 382?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gesshegtgev. Give prob of sequence see.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4)**34 assuming y is positive.\nAnswer: y**136","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + 2 + -2 - -12. Suppose -6*w = c - 36. Solve -5*r + 17 + w = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 40*d**2 + 1. Let k be a(1). Suppose -5*t - k - 44 = -4*u, 0 = -3*u + 5*t + 60. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*x = 0. Let s be 0 - (x + 0 - 2). Find the third derivative of 10*o**3 - 5*o**3 - o**2 + 3*o**s wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4885774 is divided by 1079?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-5)*(-15)\/(-60)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(sqrt(7) - (sqrt(7) + sqrt(112))*2))\/((-1*sqrt(48))\/sqrt(4) + sqrt(432)*-2 + sqrt(12)).\nAnswer: sqrt(3)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {i: 4, y: 15}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/10 + 57*b**3 + 1143*b**2\/10 + 286*b\/5 = 0. Calculate b.\nAnswer: -1, 0, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from {p: 4, d: 4, z: 1, u: 4, k: 3, a: 2}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 50*z**2 + 137*z - 1956. Calculate o(48).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of -a**4\/12 + 8*a**2 - 3. Let k(t) = t**2 + 35. Calculate z(k(s)).\nAnswer: -2*s**2 - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 22*u - 19. Let w be x(12). Let d = w + -130. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38164761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 9) to base 16.\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48048)\/4806 + 10)\/((-454)\/(-4086)).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2688798327461 and -1?\nAnswer: 2688798327460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**2*p**3*s + 95*c**2*p**3 + 13*c**2 - 2*c*p**3 + c*p**2 + 9*c + 3*p**3*s - p*s wrt c?\nAnswer: 8*p**3*s + 190*p**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -685 to the nearest ten.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*p + 466*p = -459 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.77832 kilograms?\nAnswer: 6778.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 91672.15 decades?\nAnswer: 916721.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8830235?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + (1 - (-1 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1464214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8026583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + -64 + (-1 - (-3 + 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4583*q**2 - 1146*q**2 - 1144*q**2 - 1144*q**2 + 24*q**3 - 1149*q**2.\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812\/10813 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (560\/48)\/((595\/14)\/(-17)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1842043.\nAnswer: -552612.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3 + sqrt(500) + ((sqrt(250)\/sqrt(5))\/sqrt(10) - (-5 + 0 + sqrt(5))))**2.\nAnswer: 220*sqrt(5) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 1\/4, -50, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 925, 700, 337, -152, -755, -1460?\nAnswer: -2255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 30. Let s(p) = -5*p - 5 + 20*p + 5*p**2 - c*p. Let q(f) = -14*f**2 + 14*f + 14. Calculate 4*q(z) + 11*s(z).\nAnswer: -z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0, -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 - 2844*p**2 - 719775*p - 54941250 = 0. Calculate p.\nAnswer: -598, -175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + x - 10 = 3*x, 5*c + 10 = -2*x. Suppose 3*f + 0 - 12 = c. Find the third derivative of -f*g**4 + 12*g**2 + 4*g**4 - 85*g**5 + 93*g**5 wrt g.\nAnswer: 480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + q - 1059, -4*q = -3*k + k - 438. Let p = k + 151. Let c = p - -151. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1100\/52 + 8\/(-52). Suppose -4*r + o = -5*x, -5*r = 3*x - 4 - 13. Calculate the greatest common divisor of r and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 2*a**3 - 1974 + 644 - 3*a + 664 + 670.\nAnswer: -2*a**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01511 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/8)\/((-2)\/(-4)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - (0 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = -4*f + 179. Let z(b) = -4*b**f - 17 - b**3 - 16 + 33 - 9*b**2 - 12*b. Calculate z(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 745460636 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 68.7681 (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 88.81332 litres?\nAnswer: 88813.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*t - 10. Let o(p) = p**3 - 40*p**2 + 2*p + 0*p - 58 + 19*p**2 - 11*p**2. Let m be o(32). Put -4, t, m in decreasing order.\nAnswer: m, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.540011515 + -19.54. Round h to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50773752 (base 8) in base 16?\nAnswer: -a3f7ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 499 - 443 = 28*c. What is the nearest to -14 in -0.5, -5, 5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a - 72 - 4 = -20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3080 divided by -140\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8)\/(12\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 25 = -7. Let c = -2 - 3. Let f = q + c. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-10)\/15*(-510)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -147202659, -147202667, -147202687, -147202725, -147202787, -147202879, -147203007, -147203177?\n\"Answer: -u**3 - u - 147202657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*k - 15 = 0. Let d(z) = z + 1. Let s(r) = -r. Let u(f) = k*s(f) + 2*d(f). Let v be u(2). Which is greater: 1\/2 or v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from {d: 3, v: 1, x: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - -24 - (2 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 2*a**2 + 4*a - 3. Let w be u(2). Suppose 4*n + 4*g + 122 = -22, -3*n - 88 = -g. Let v = -29 - n. Put v, 1, w in decreasing order.\nAnswer: w, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174199?\nAnswer: 17, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k**2 + 3*k - 71. Let n(w) = 3*w**2 - 2*w + 36. Let h(r) = 4*b(r) + 9*n(r). Let d(p) be the first derivative of h(p). Calculate d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Let z(f) = f**3 + 6*f**2 + 3*f - 5. Let p be z(-5). Let a = -10 + 17. Solve -j + 4 = v, o*j - p*j = -4*v + a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + 1 + 8*4 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3900 divided by 4\nAnswer: -975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3001*l - 39021. Give u(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -29 + 0*n**2 + 1\/4*n**4 + 0*n**3 + 3*n. Let p(x) be the third derivative of x**4\/24 + x**2. Determine z(p(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 243 (base 13) to base 6.\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - -2*sqrt(396))**2 + 3.\nAnswer: 1862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*r - 70, 4*b = -r + 75 + 27. Calculate the remainder when 179 is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -111 + 24. Let x = 125 + j. Let f = x - 20. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47323 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -132 - 48. Let b be 6\/n*6*-2. What is the nearest to 0.1 in 1\/4, 2\/31, b?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224 and 1421?\nAnswer: 45472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2079, -5, -6, 4 in decreasing order.\nAnswer: 4, -5, -6, -2079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**3 + 9*p**2 + 22*p + 6. Let z(g) = -10*g**3 - 19*g**2 - 42*g - 11. Let m(v) = -11*j(v) - 6*z(v). What is x in m(x) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 8*q - 4. Let v be j(7). Suppose 2*k + 8 = v*k. Suppose 2*t = -3*s - 3*t + 12, 2*s - k = -2*t. Solve p - 3 = s*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -124 (b) -2\/5 (c) -15\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*a - 65*a = -134*a + 3076. What is a rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-15)\/y*y**(-11)*y*y**(-21)*y*y*y*y\/(y\/y**17)*y assuming y is positive.\nAnswer: y**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6298 is divided by 296?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s + 8*s = 2205183 + 647477. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1519658 and 1247.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4*(sqrt(1008)*1 + sqrt(1008))*6)**2.\nAnswer: -13934592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 12:08 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2768, -5417, -7848, -9953, -11624, -12753, -13232?\n\"Answer: 18*m**3 + m**2 - 2778*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.368, 0.1, -1781601 in increasing order.\nAnswer: -1781601, 0.1, 0.368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let m(c) be the third derivative of -43*c**5\/30 - c**4\/6 + 22*c**2 - 1. Give m(i(k)).\nAnswer: -86*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z**5\/5 - 11728*z**4\/5 - 36624*z**3\/5 + 102474*z**2\/5 + 327753*z\/5 + 27702\/5 = 0 for z.\nAnswer: -3, -2\/23, 3, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 399473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-5))\/(((-12)\/(-40))\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*b - 6, -5*b - 3*t = -2*t + 3. Which is bigger: 10\/27 or b?\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - sqrt(3)*-2*5 - (sqrt(75) + 2).\nAnswer: -2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - t - 1. Let d(a) = 10*a**2 + 10*a + 2. Let q(x) = d(x) + 6*u(x). Let y(z) = 4*z**2 + 5*z - 5. What is 5*q(n) - 4*y(n)?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -29*n**3 - 45*n**2 + 51*n + 715. Is o(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = 2*a, -8 + 40 = -3*m + 4*a. Calculate the common denominator of 1296\/(-8)*1\/m and ((-33)\/(-8))\/(9\/28).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*s + 3341*s**2 - 3341*s**2 + s**5 - 2 + 19*s**5 + 5*s**5 + 12*s**5 + (3*s - 5*s + 0*s)*(5*s**4 - 3*s**4 - 3*s**4) + s**4 - s**5 - s**4.\nAnswer: 38*s**5 - 9*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 389 - 386. Suppose 5*c + 1 - 14 = 4*a, u*c + 5 = -4*a. Let o(j) = 7*j**3 - 1. Give o(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16945.794035 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 1, 221\/1111 in ascending order.\nAnswer: 221\/1111, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 41, 7, -27?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -0.2, -5, 14 in increasing order.\nAnswer: -5, -0.2, 2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-102 + 390 + 131)*(5*d - 2*d + 0*d)*(20 + 54 + 11 + 5) to the form o*d + k and give o.\nAnswer: 113130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 5*m - 6*m = -23, 0 = -5*m + 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 12:22 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100263583 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u**2 - 5*u**2 + u**2 + 3*u**2 + 0*u**2 + 17*u**2 - 24*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*m**2 + 231*m**2 + 194*m**2 - 221*m**2.\nAnswer: 287*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (58 - (9 - 11)) + (-88 - -103).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-9921)\/(-185192))\/((-3)\/832)\nAnswer: -104\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74332 is divided by 495.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6225 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 74, 82, 92, 104?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (0 - 3) + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (14\/35)\/(20\/(-3100)) + 8 + (-12)\/(-6)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/(-114))\/(1\/27*6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12205 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 615 + 167. Suppose b + 31 = 5. Let k = b + 40. Calculate the greatest common factor of p and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 10*b - 9 = 3*g, 3*b = -3*g - 6. Let k(t) = -2*t**3 - 2*t**2 + 4*t + 5. List the prime factors of k(g).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6*b - 10 = 0. Suppose 5*x = 4*d + 23 + b, 2*x = 8. Let v(s) = 6*s**2 + 2*s + 1. Is 16 a factor of v(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1511 + -3121\/2. Find the common denominator of a and 2\/20*(3 + -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 144, 178, 174, 120, 4, -186, -462?\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -45*h. Let j(t) = 2*t**2 + 19*t + 10. Let k be j(-9). What is i(k)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7848 divided by -2616?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85695\/22 + 3900. Let l = 19569 - 1311150\/67. Let a = l - 6577\/804. Calculate the common denominator of m and a.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 - -0.48. Let d = m - 1. Let k = -7 + 5. What is the second biggest value in d, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.12081 weeks to seconds.\nAnswer: 41804265.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 226972*m + 226971.\nAnswer: (m - 226971)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**4 + 441*b**3*p - 2*b*p - 159*p wrt b?\nAnswer: -12*b**2 + 2646*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of (-8702)\/(-6) + 31\/(-13 + -80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, q: 1, i: 6, t: 1, j: 1}. What is prob of picking 1 i and 1 t?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/((-9)\/(-6) + -1 + 0). Let o = i + -54. Let w = -106 - o. Let r(d) = -d**2 - 7*d + 9. Give r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1669 and -37\/6.\nAnswer: 10014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.20052 * -0.4.\nAnswer: -0.080208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122276606.\nAnswer: 2, 43, 73, 19477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3276*a**2 + 0*a**4 - 3368*a**2 + 3*a**4 + (3*a**2 - 3*a**2 - 2*a**3)*(2 + 2*a - 2).\nAnswer: -a**4 - 92*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259, 337, 415?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53 - 18) + 18 + -38 + -50?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*o**3 + 98*o**3 + 62*o**3 - 118*o**2 + 94*o**3.\nAnswer: -2*o**3 - 118*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3230, -3224, -3208, -3176, -3122, -3040?\n\"Answer: z**3 - z**2 + 2*z - 3232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -84, -130, -176?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/132 and 83\/110.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + j + 1)*(-1 + 3 + 3)*(228660*j**2 - 20*j**3 - 228630*j**2 + 2*j**3) to l*j**2 + k*j**3 + r + b*j + y*j**4 and give k.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 119, 273, 383, 449, 471, 449?\n\"Answer: -22*w**2 + 220*w - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231671 and 4037?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f - 2. Let d be a(-1). What is the common denominator of (-3)\/d - (-7 + 11) and 48\/120 - (-207)\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((11\/(-30))\/(-11))\/((-6)\/(-9)). Let j(w) be the second derivative of -2*w - 5\/12*w**4 + 2\/3*w**3 + 0 - 1\/2*w**2 + c*w**5. Determine j(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3013 - -5396. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53854915 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15473777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = 0. Suppose 3*s + 2*s = u. Suppose s = -2*i - 2*v + 42, 4*v + 0*v = 8. Calculate the remainder when 37 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*j = -0*v - 20, -4*v + 22 = -2*j. Suppose -v*t - 200 = -0*t. Round t to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1417715 and -1.\nAnswer: -1417716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**2 + 1\/6*m**3 + m + 0. What is y(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z. Let k be (39\/(-26))\/(1\/(-6)). Let g(y) = -10*y - 7*y - k*y. What is b(g(p))?\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5\/2, -8, -4\/3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 312849 + -12203216\/39. Let v = n + 54. Is v at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -2*j**7\/7 + 5*j**3\/3 - 6. What is the third derivative of k(l) wrt l?\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2 - 6. Let w = 9 - 15. Let l(n) = -3*n**2 - 5. Determine w*l(d) + 5*o(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-8)*120\/27. Let d = -12 + 15. Factor 8\/9*n**2 - q*n**d + 8\/9*n + 0.\nAnswer: -2*n*(3*n - 2)*(5*n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vidlwvjiwvi. Give prob of picking 1 w and 1 l.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**3 + 8840*x**2 - 35280*x = 0 for x.\nAnswer: 0, 4, 1764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 - 0\/3 - -47 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 0. Let y = r - 41. Suppose 0*w - 7 = -w. Calculate the remainder when w is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 813 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 170, -1, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 6:49 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -8*o + 127 - 239 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-6) - 2\/(-6). Suppose 0 = -2*r + v + 1, -3 = b*r + 3*v. Let w(c) = c**2 + c - 5. Let m be w(r). Let g(y) = -3*y - 5. Calculate g(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(2\/3)))\/(u**(-8\/9)*u) assuming u is positive.\nAnswer: u**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 12 = -v. Suppose 2*c - 8 = -2*o, 0 = 4*c - 2*o - v + 2. Calculate the highest common factor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 5324545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9139751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -800 (b) -16 (c) 148\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19262 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 10*m - 11. Suppose m*d + b = 2*b + 9, -5*d + 15 = 5*b. Let r be (-9)\/15 - (-4)\/(-10). Is r >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472 is divided by 458.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1 - 2 + l**2 + 2*l + 0 - 3. Let a be h(-4). Suppose 19 = a*r + 3. Sort r, 1, 0 in decreasing order.\nAnswer: r, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15482 - 1\/(-1)*(-4 + 6). What is the units digit of (-9)\/21 - q\/105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 32*s - 1437 - 7335 = 50*s for s.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 310983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/8*0\/38. Solve r = 188*s - 174*s + 42 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63864, -63880, -63896, -63912, -63928, -63944?\nAnswer: -63960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 - 12*a - 6. Calculate u(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 19659?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4562078?\nAnswer: 2, 2281039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169532753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2 - 2\/(-2))*14. Suppose d*o + 70 = 21*o. Solve -9 = -r + 3*v - 1, 0 = 3*r - o*v - 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 5 = -y, -3*y - 105*a = -101*a + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1950 and 950?\nAnswer: 37050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 1\/2, 2\/9, 354?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 + 14*j**2 - 6*j**2 + (18*j**2 - 16*j**2 - 13*j**2)*(3 - 5 + 4) - 4*j**2 + 4*j**2 + j**2 to the form x + a*j**2 + r*j and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/297 and -41\/81.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10018 + 10019. Put -29, 5, -3, r, 2 in decreasing order.\nAnswer: 5, 2, r, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 15*u + 2. Let i be a(-14). Suppose -2*t + h + 16 = 2*t, 0 = 4*t + 2*h - i. Solve 3*s - 18 = -t*y - 6, 12 = 3*s - 5*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11630, 51164, 117052, 209294, 327890, 472840?\n\"Answer: 13177*c**2 + 3*c - 1550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 3, 4, 41704, -23 in descending order.\nAnswer: 41704, 4, 3, 0, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zejp when four letters picked without replacement from {z: 1, j: 1, e: 2, p: 1, x: 1, c: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -11*t**3 + t**2 - 2*t - 1. Let a be h(-1). Calculate the greatest common divisor of 104 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 5*b + 2. Determine r(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/20*65\/(-117)*33*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.6, -0.05, 5\/2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 2 + 6\/2. Calculate the remainder when 1468\/20 - (-4)\/(-10) is divided by (95\/25)\/(h\/10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1618787256 and 7503?\nAnswer: 7503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/39475 and -131\/260.\nAnswer: 2052700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + o + 41 - 7 to the form w + u*o and give w.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63207\/5 + -12640. Let n = -916\/275 - -106\/25. Calculate the common denominator of n and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11592084.\nAnswer: 2, 3, 7, 59, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, 2\/3, -2\/5, 0.1, 558, 3 in ascending order.\nAnswer: -2\/5, -0.19, 0.1, 2\/3, 3, 558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwjc when four letters picked without replacement from gvgcwggccccwjgww?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4103664?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0514 and -3\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2*p + 7, 9*p - 5*q = 4*p - 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112210 a multiple of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279154 is divided by 68764.\nAnswer: 4098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (210\/35*4*3\/1512)\/(1\/132)?\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**11\/o**11)**17 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2 + 14*s + 46*s + 304 - 124 + 4*s**2 = 0. Calculate s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(108) - (sqrt(3) - ((-4*sqrt(300))**2 + sqrt(300))).\nAnswer: 15*sqrt(3) + 4797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1468 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**4 - 25261*d**3 + 448919 wrt d?\nAnswer: -8*d**3 - 75783*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1573) + 5 - (-4*sqrt(1573) + -4).\nAnswer: 9 + 77*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1)\/(-2 + 3). Let k = j - -7. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g - 1. Let n = 0 + -1. Let s be j(n). What is the derivative of -3*k**3 + 3 - s + k**3 wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 1 = -f, c - 4*f - 1 = 2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1080\/165 + 18\/(-33). Solve 10 = -3*l + 4*r, -5*r + 15 = l - p*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 - 32*f\/7 - 8.\nAnswer: -2*(f + 2)*(f + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aajaakvj. What is prob of sequence kjva?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, g: 3, a: 4}. Give prob of sequence gdgg.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 121*p + n + 1938, -49449*n = -p - 49445*n - 8 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11203201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {z: 1, o: 6, e: 1, m: 3, i: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*f - 54, 2*f = 4*f + p + 36. What is the units digit of ((-30)\/f)\/(3 + (-1590)\/531)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 12. Suppose 3*h + 1 = 4*h. Calculate the smallest common multiple of p and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*c - 4*m + 35 = -273*c - 3*m, -9*m - 36 = 0 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a02 (base 15) in base 13?\nAnswer: -1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 689, 4765, 15183, 34907, 66901, 114129, 179555?\nAnswer: 266143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-36)\/(-18)*-1 + 35\/(-2))?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -361, -528, -689, -844, -993?\nAnswer: -1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 236 divided by 118\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 f, and 1 o when four letters picked without replacement from {f: 9, x: 1, v: 2, o: 4}?\nAnswer: 72\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-2)\/(-2) - 10. Let f(r) = r**2 - r + 1. Let z(d) be the second derivative of 2*d**3 - 6*d**2 - 11*d + 0 - 5\/6*d**4. What is b*f(o) - z(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1612 or 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47043385*f**2 - 11474419*f + 1 wrt f.\nAnswer: 94086770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 2 + 23 - 178*c**3 + 174*c**3 as u + r*c**3 + y*c + s*c**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7702 + 834?\nAnswer: -6868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6.6. Let k = 0.08 - 4.08. Sort k, h, -0.1.\nAnswer: k, h, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7452 + 7457. Suppose -g + 5*r + 62 = 0, 24 = 2*g - 3*r - 72. Calculate the remainder when g is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88982.78 micrograms in milligrams?\nAnswer: 88.98278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -526900219*b**3 - 270380010 wrt b.\nAnswer: -1580700657*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 243, 1\/6, 0, -0.5, 24?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 13 - 2. Let a be (-1 - t)*2\/2. Let m(c) = -4*c**a - 5*c - 2 + 5*c**2 + 6. Give m(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4801296)\/30)\/(-46)*(-5)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 535.037 + -1.037. Let k = -532.852 + q. What is k rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2599979 + -0.26. Round m to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 280*v + 599. What is r(-7)?\nAnswer: -1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.35 equal to 23929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -13 (c) -3.121 (d) 0.04 (e) -6\/11 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.2 - 105.8. Let t = h + 135. Which is the smallest value? (a) -2 (b) -0.2 (c) t (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 10\/14 - (-420)\/180*(-7400)\/(-5880).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, -1, 3.\nAnswer: -1, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, e: 1, y: 3, x: 1, o: 3}. What is prob of sequence cco?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*u + 3*z, 2*u = 4*u + 2*z. Let b(l) = 5*l - 7. Calculate the smallest common multiple of b(u) and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 1. Let p(o) = -o**3 - 5*o**2 - 6*o - 6. Let c be p(z). What is the third derivative of y**2 + 2*y**c - 2*y**4 - 2*y**4 wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -1\/3, -0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((6*sqrt(110)\/sqrt(2))\/(sqrt(125)*-1) - (sqrt(110)\/(1*sqrt(10)) + sqrt(44)\/sqrt(36)))*1.\nAnswer: -76*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**5 + 4284*j**4 + 1000792*j**3 - 74117960*j**2 - 27269157972*j - 1463493185140 = 0?\nAnswer: -119, 173, 1255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1.9. Let n = a + -0.1. Suppose 13*u = u - 36. Sort n, u, 1\/4 in ascending order.\nAnswer: u, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -595, -1268, -2117, -3088, -4127, -5180?\nAnswer: -6193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/8959 and -101\/355725?\nAnswer: 6047325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24906 - 24891. What is the remainder when 5605 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 64 - 664 = 0. Let d(r) = -7*r - 1. Let o be d(-2). What is the greatest common divisor of o and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3480, -3558, -3636, -3714?\nAnswer: -3792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223804*s + 32 = -4*i + 223799*s, s = -3*i - 35 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -651, -1549, -2447, -3345, -4243, -5141?\n\"Answer: -898*h + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20177271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41154148 to the nearest integer?\nAnswer: 6415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-44)\/y**(-10) assuming y is positive.\nAnswer: y**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5268 rounded to 1 decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 5. Suppose 3*g - p*z + 9*z + 10 = 0, 3*g + 6 = -3*z. Suppose g = -4*u + t - 5 + 13, -t + 4 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 45 - (-2264 + 2335).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - (-2)\/1)\/2. Suppose 5*f + l*f = 70. Calculate the greatest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1837276*h**2 + 1 + 1877721*h**2 - 3715007*h**2 - 1.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2 = -4*z, -56*z + 5*g + 86 = -57*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -20 - 18 + 7 + u**2 + 7*u. Is 15 a factor of v(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-243)\/(-270))\/((-2)\/(-5)*3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 23893440?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or -2\/101?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 97.3 and -0.0187?\nAnswer: 97.3187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2624627 + -1273627. What is j rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(560)\/(sqrt(100)\/sqrt(10))*1)\/(6*-2*sqrt(648) + sqrt(648) - (sqrt(648) - (1*sqrt(648)*-3 + sqrt(648)))).\nAnswer: sqrt(7)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 11898*b**2 - 503330*b - 515226.\nAnswer: 2*(b - 43)*(b + 1)*(b + 5991)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2*b - 10 = 0, 126*t - 9 = 123*t - 3*b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57997.\nAnswer: 59, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 9. Let o be n(-5). Let d(r) = -412 - 46*r**2 - 2*r + 99*r**2 - 52*r**2 + 408. Give d(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 16966 (b) 0.03 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3613241?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13353*n**3*w**4 - 104*n**3*w**2 - 1744*n**3 - 3*n**2 + 5*n - 19 wrt w.\nAnswer: -53412*n**3*w**3 - 208*n**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25776*g + 25780*g - 32 = -2*v, -6*v + 74 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c**3 - 12*c**2 + 5*c - 9. Let h(x) = 5*x**3 + 11*x**2 - 5*x + 8. Let r(b) = -7*h(b) - 6*z(b). Let j be r(4). Is 22 a factor of j + (-1)\/((-1)\/64)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8423466 and -94.\nAnswer: -791805804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 14)*(2 + 0). Let k = -36 - p. Is 6\/k - 6236\/(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.02, -3, -2, -214.5, 2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6385, 19497, 46037, 92719, 166257?\nAnswer: 273365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 67 - 19 = 0. Calculate the least common multiple of v and (1 - 2\/(-2)) + 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -82 + 89 + (0 - 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.1*-0.01.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 22587616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**6\/120 - m**5\/60 - m**4\/6 + m**3\/2 + 5*m**2\/2 + 13. Let j(b) be the second derivative of f(b). Calculate j(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-132))\/((-28)\/(-24)*40\/70).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 - 5*y + 5*y)*(2*y**3 + 2*y - 2*y).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 = -4*u + 367. Let k = 0 - 2. What is the nearest to -0.1 in k, 2\/15, u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 56, 85, 114, 143?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 6 = f, 4*f - 421*z + 424*z - 91 = 0 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36176813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1151245 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123 + -495\/4. Which is smaller: 3\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 26489729 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6314 - 6374 = 6*q for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 3*k - 4*k - k - 3 + 3 + (-1 - 1 + 0)*(k + 3*k - 2*k) + (-2*k - k + 5*k)*(2 - 1 + 1) - 134726 - 206*k + 134726.\nAnswer: -209*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -48, 0 in decreasing order.\nAnswer: 3, 0, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 6. Suppose v*r + 35 = 5*n + r, 0 = 3*n + 5*r - 52. Suppose 2*x + 297 = 5*x. What is the greatest common factor of n and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.03 - 958.03. Let j = 956.998526 + w. Round j to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 611 and 188?\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nlnbllbnbxb.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1666.\nAnswer: 2\/833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2110 and 33338?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 684.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1152.6 - 1152.5. Put -0.3, n, 3, 0.2, 0.4 in decreasing order.\nAnswer: 3, 0.4, 0.2, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9216064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1451161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + -47)*1\/(-2). Suppose -3*i = j - 16, 5*i = -0*i + 4*j + v. Suppose x = -4*x + 20. Solve -f = i*r + 12, 0*f = -x*f + 4*r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 7 - 3. Suppose n*s - 102 = t, -s - 3*t + 30 = -t. Is 758\/s + (-4)\/26 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/5, -5, -2\/5, 1, 1\/2, -823?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**3\/6 - 4*m. Let v(t) = -t**2. Let k(r) = 3*v(r) - 2*y(r). What is the second derivative of k(p) wrt p?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1234 - 1199. Calculate the lowest common multiple of k and 77.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -330, -468, -590, -672, -690?\n\"Answer: 4*n**3 - 16*n**2 - 118*n - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2 - 1009244210*n + 50928693770926205 = 0 for n.\nAnswer: 100924421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*x + a - 25, -2*x + 20 = 4*a. Let b = x - -6. Solve -2*l + b*y - 11 = 3*y, 5*l + y + 2 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -3 (b) -2 (c) 21508\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*8 - (-36618)\/4667?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*k - 7605*k = 236256 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2440031 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3\/32, 1.3, -7\/2, -1?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 310 and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114482 divided by 114482.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63 plus 0.16?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 30*z - 1104 + 2217 - 1105.\nAnswer: 27*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91.7 - -91.76. Which is smaller: u or 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**26\/g)\/g)\/(g**8\/g) assuming g is positive.\nAnswer: g**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 + -5.22. Round g to 1 decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 10969*k**2 - 16*k - 40. Is t(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28354703479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.465, 4, -52, -27, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.4, -1.021, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 136083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 + -13.88. Let i = -10 - k. Suppose -4*h + 14 = -y, 0 = 3*y - 5*y + 3*h - 8. Which is the third biggest value? (a) y (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2 - 3*h - 3*h + h**3 - 2*h**2 + 3*h + 4. Let n be w(3). Let o(t) be the first derivative of t**3\/3 - 2*t**2 - 6*t - 2. Give o(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2927 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: Suppose -16*r - 357 = -325. Suppose 6*i - 5*i - 32 = 0. Let p be i\/(-6) - (-1)\/3. Which is the closest to -0.1? (a) r (b) -1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 297 and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80*m - 196.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -51*k + 5*k. Put -2, k, 3, 4 in decreasing order.\nAnswer: 4, 3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 1:29 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/(sqrt(8) + -2*sqrt(8)))**2 - sqrt(7)) + -1 + sqrt(7) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3367 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13\/26)\/(2\/196). Suppose -3*d + 5*j = -45, -j = -4*d + 2*j + w. Calculate the highest common divisor of 20 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/((-441)\/70)*(-79)\/((-13825)\/(-3990)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1190, -1241, -1274, -1283, -1262, -1205, -1106, -959?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 2930, 140 in decreasing order.\nAnswer: 2930, 140, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 465704 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {b: 1, n: 2, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 2542\nAnswer: 6\/1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 354 + 169 + 163 - 841 + 155.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 2*s**3 - 2*s**3)*(-s + 2*s + 0*s) + 9*s**4 + 0*s + 0*s + 743*s**4 + 588*s**4 - 345*s**4.\nAnswer: 993*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 461.2655?\nAnswer: -462.2655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159*j + 7444 - 23454 - 158*j)*(-4*j**2 + 3*j**2 + j - j**2).\nAnswer: -2*j**3 + 32021*j**2 - 16010*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22892187.\nAnswer: 3, 827, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 145 + 117 = 0. What is the units digit of (3987\/(-12))\/((-76)\/16 - w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 8.28 (b) 9.85 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 662543 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20*2)\/2 - 0. Let z = 70 + 38. Let n = z - g. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 310\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o + 6*o + 0*o**2 + o**2 + 7 + 3*o. Let a be y(-4). What is the units digit of a + -1 + -2 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18*(-110)\/(-264))\/(-3*4\/(-2))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -41. Suppose 15 = -5*y + o*y. Suppose -135 = 12*k + y*k. Is k at least as big as -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(-4 + sqrt(3)) + 2 + (-1 + sqrt(3) + 2 + 0)**2 + 4.\nAnswer: -sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40081?\nAnswer: 149, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p + 1. Let o be w(-8). Suppose -o = -8*g - 1. Which is the second biggest value? (a) -2 (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20873728 divided by 22112?\nAnswer: -944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -5, 5 in descending order.\nAnswer: 5, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8503.\nAnswer: 11, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**0*b\/(b\/(b*(b*b**(3\/7)*b)\/b)*b)*b*b\/(b\/(b*b**(1\/10)\/b))*b**(-4\/5)*b assuming b is positive.\nAnswer: b**(191\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p - 970 + 9685. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151.9, 14, -3\/5.\nAnswer: -151.9, -3\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 131235 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 + -63 + (-3 - -11 - 11) + 77.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u, -18*k = -14*k + 2*u - 916. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2398 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 655.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 70 = -6*j - 2*n, j = 2*n for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -279 - 304786?\nAnswer: -305065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2358840 and 30.\nAnswer: 2358840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 590176189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6301 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(0 - (-92)\/6). Let p = 67 - d. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48549048115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 790 = -93. Suppose -2*v = l - 4861. Suppose -v = -5*y + 1901. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*t + 386 = 1127 + 1095 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Let k(v) = v - 1. Let m(w) = 4*w - 6. Let q(f) = z*m(f) - 6*k(f). Let y(x) = -x. What is q(y(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3638 - 3635. Factor 0 + 4\/3*b**4 + 0*b - 4*b**g - 16\/3*b**2.\nAnswer: 4*b**2*(b - 4)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -9, -116 in decreasing order.\nAnswer: -2, -9, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00344574 to four dps.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/12, 0.9, 3\/5, 3, -1\/6?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 7:41 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 82*u + 3. Let i be m(-1). Let h = i + 83. Suppose -h = 4*g - 5*n + 23, g = 2*n - 9. Sort 1, g, -5, 4 in descending order.\nAnswer: 4, 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 15117450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 5*w**2 - 53*w + 282. Let s be y(6). Solve -13*u - 29 - 23 = s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 420*y + 2760. Calculate g(-5).\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3243241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3819 - -434b7?\nAnswer: 47003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -8.4.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 11:39 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -4 + 4 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1641 - 1641 + 14*z + 4*z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 1\/112*l**8 + 0*l**5 - 2*l**2 + 1\/24*l**4 + 0*l**7 + 0*l**6 + 0*l**3 + 0 + 0*l. What is the second derivative of g(p) wrt p?\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 156*o - 1055. Let t be b(7). Suppose 0*k - 2*k + 222 = 0. What is the greatest common factor of t and k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4906185 to the power of 1\/2, to the nearest integer?\nAnswer: 2215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17863*d**5 + 1999*d**3 - 30214203*d wrt d?\nAnswer: -357260*d**3 + 11994*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**3 - 1 - u**3 + 5*u**2 + u**3 + 2*u - 4*u**3 as n*u + m + k*u**3 + v*u**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6*12\/14. Factor -2\/7*a**3 + 0*a + 0 - 2\/7*a**4 + u*a**5 + 2\/7*a**2.\nAnswer: 2*a**2*(a - 1)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u**2\/5 - 516*u\/5 + 11088\/5.\nAnswer: 6*(u - 44)*(u - 42)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 165 and -0.1.\nAnswer: 164.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x = 4*z + 46, z + 8 = -4*x. Let t = -45 + 63. Let v = z + t. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318 - 184. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 5*i**2 - 18*i - 91. Determine c(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k*q**3 + 8024*k*q**2 - k*q + k - 208*q**2 + 1612*q - 77 wrt q?\nAnswer: 24*k*q + 16048*k - 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1\/5, 0.9, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2. Let b(f) = 15*f**2 + 2. Let z(q) = -b(q) - 6*h(q). Suppose 3*l - 8 = 7*l. Determine z(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 - 24755334?\nAnswer: -24755273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*v = -23, 0 = -q + 2*v - 4*v - 39. Let r = 34 + q. Suppose -4*l - 1674 = -6*k + r*k, 1093 = 2*k + 5*l. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + 1*sqrt(99)*1 + -4)**2*-4.\nAnswer: -401 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*-2*-3 + sqrt(95) - sqrt(95) - (sqrt(95) + 2*(sqrt(95) - -3*sqrt(95))))\/((sqrt(60) + -3*2*sqrt(60))\/sqrt(12)*6).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h - 17. Let q be j(9). Let f = q + -25. Let u(s) be the first derivative of s**4\/4 + 2*s**3 - s**2\/2 + 2*s - 7. What is u(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4558453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.18 minus -1868.03?\nAnswer: 1969.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2799719\nAnswer: 5\/2799719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159 - -157. Sort t, 6, 0, 4 in ascending order.\nAnswer: t, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -218*r**3 - 2*r**2 + 3*r + 1. Let s(v) = 1 + 8*v - 3*v**2 - 291*v**3 - 5*v + 73*v**3. Let z(x) = 4*o(x) - 3*s(x). Is z(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -2*r**2 + 5*r + 12. Does 8 divide s(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 15 = -9*k, 4*k = -2*j - 76 + 56 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15900808*z - 54773647 wrt z.\nAnswer: 15900808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**(2\/19)*(p\/(p\/((p**1\/p)\/p)*p))\/p**(1\/3)*(p**0\/p)\/p*p**6*((p\/(((p*p**(2\/5))\/p*p)\/p))\/p)**15 assuming p is positive.\nAnswer: p**(-253\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -20. What is the units digit of (-2)\/y*(-201)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1476)\/1148)\/((-6)\/3).\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnnmtnnwwnmhnxn. Give prob of picking 2 w and 2 t.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*c**3*f**4 + 2*c**3 + 1801*c**2*f**4 - 11549*c**2 wrt f?\nAnswer: -76*c**3*f**3 + 7204*c**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (62 - (0 - (-1 + 17))) - -18\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1001110?\nAnswer: -1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 3, m: 3}. Give prob of sequence dq.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**2\/3 + 784336*o\/3 + 784324 = 0.\nAnswer: -196081, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -16*b + 149. Let a be m(9). Solve -a*c - 11 = 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**3 - 5*w**2 - 10*w - 4315. Let i(f) = 9*f**3 + 6*f**2 + 12*f + 4316. What is -5*i(u) - 6*n(u)?\nAnswer: -3*u**3 + 4310","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 240\/28*(-1 + 33\/(-2)). Let a = l + 153. Solve a*y - 4 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 0*m**4 + 0*m**4)*((-2 - 1 + 5)*(-3 + 3 - 2*m) - 1 + 3*m + 1 - 5*m - 3*m + 5*m + (6 + m - 6)*(1 + 0 + 0) + (0*m - 2*m + 3*m)*(-35 - 2 + 6)).\nAnswer: -68*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 5:23 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, -2, -1, 0, -2838 in increasing order.\nAnswer: -2838, -113, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8206 = -71*g + 325 for g.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 1\/120*r**5 + 0*r + 0 - 1\/6*r**3 + 0*r**4 + r**2. Let j(t) be the first derivative of f(t). Give j(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177.2202 nanometers to kilometers.\nAnswer: 0.0000000001772202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-132)\/(-34) + 8\/(-204)*-3. Solve 5*s + x*n = 8, -s + 12*n = 11*n - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 10*v + 5. List the prime factors of q(15).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = -5*l + 14*n - 272154, -5 = -5*n. What is l rounded to the nearest 1000?\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3201853, 3201868, 3201899, 3201952, 3202033, 3202148?\nAnswer: 3202303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2488 rounded to 1 decimal place?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -35*k**4\/24 - 88*k**3\/3 + 105*k**2. Let d be g(-6). Calculate the greatest common divisor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -738.393738 + 1.89\nAnswer: -736.503738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and -12 - (1 - 28) - 8.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 23. Let a be d(-19). Suppose -5*u = -a*k - 121, -3*u + 3*k + 74 = 2*k. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 2*o + p - 2*p, -4*o - 2*p + 60 = 0. What is the greatest common divisor of 34 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 228 = -3*y - 3*x, -y + 64 = 4*x. Let w be -3*(4 - 5) - y. Let u = w - -111. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 18, c: 2}. Give prob of picking 1 c and 1 s.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0914897027 rounded to 3 dps?\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2. Let x(p) be the third derivative of -p**5\/60 - 8*p**3\/3 - 5*p**2. Determine h(x(c)).\nAnswer: c**4 + 32*c**2 + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 2 - (54\/(-6) + -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1919 + 1894. Is -185\/7 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124215.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 14) to base 12\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - (-6)\/(108\/(-102)) - 2959\/(-33). Solve r - i = -17*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96604846 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**4\/3 + 4*c**3\/3 - 16*c\/3 + 16\/3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6275?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32846.\nAnswer: 2, 11, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*19\/((-2375)\/(-50))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180 (base 9) to base 2.\nAnswer: 10011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 v, and 1 y when four letters picked without replacement from {y: 1, a: 11, v: 6}.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7427*l**2 + 22292*l**2 - 168*l**3 - 7435*l**2 - 7430*l**2 - 338*l**3.\nAnswer: -506*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 326 = a + 4*c, -4*a + 5*c = -1389. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 2 = z. Let b be 18\/4*(-30)\/z. Is b\/140*4 - 1312\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 846 and 12?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180781459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 50 - 121 = 94 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 5*o - 3. Let q be k(-5). Let f be q\/(-15) - (-4)\/20. Which is the second smallest value? (a) 0 (b) f (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 1 + p**3 + 2*p**2 - 4*p - 2*p**3 to the form s*p**2 + w*p + d*p**3 + r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 32*l**3 - l**2 - l + 1. Let p be 1\/(1\/(2 + -1)). What is the units digit of o(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1551, 3\/2, -6, -1\/7, -4 in decreasing order.\nAnswer: 3\/2, -2\/1551, -1\/7, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiitniixititcitg. What is prob of sequence nt?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, g: 1, k: 3}. Give prob of sequence kkk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 3*s**2 - 67*s - 101. Let i be q(10). Let b(m) = -m - 11. Calculate b(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75592123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 - 57 = -12*j. Suppose 0 = w + 5*f - 1160 - 474, j = 5*f - 25. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 0.8. Let g = 15.1 - 12.1. Put j, 1, g in increasing order.\nAnswer: j, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 222676023 - 3?\nAnswer: 222676020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 1, c: 2, m: 2, t: 1, v: 2}. What is prob of sequence cvfm?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -11*i - 225. Determine y(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 72, 4, 34, 5, -111 in increasing order.\nAnswer: -111, -5, 4, 5, 34, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91145053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:49 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)\/(-1*sqrt(10)) - sqrt(55))\/(-5*sqrt(33)\/sqrt(3)).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 322150087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -500 - 90. Let y be 100\/(0 + 1\/a). Round y to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2828 - -3143. What is the smallest common multiple of 1 and t?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 960 - 956. Let y be (-4)\/(0 + (-3)\/60). Suppose -3*v + v + m*h = -40, -4*v + y = 4*h. Calculate the remainder when 96 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 3 + (2 - 6 + 2)*(-1 + 3 - 1) - 7 - 10 + 10)*(7*v**3 + 3*v**3 + 4*v**3).\nAnswer: -196*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 8*m + 1. Let r be u(8). Let l(y) = -3*y**3 + y**2 - 5*y - 2. Let o be l(-2). Differentiate -1 + 8 + r + 19*s - o*s with respect to s.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q + 1. Let t(b) be the second derivative of b**3\/6 + 4*b**2 + 10*b. Let k be t(9). Suppose 3*o + 2*d = -2*d - k, -4*d - 16 = 4*o. What is i(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27\/14 - -635\/322. Let w = h - 74\/115. Which is the third smallest value? (a) 0.2 (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*u + 70, 2*u = p - 0*p - 90. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -351 - -354. Solve 2*g - i + 5 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*f - 3*l, -3*f + 4*l + l + 14 = 0. Let v(w) be the first derivative of 5*w**2 - 4*w**2 - 2*w + 0*w - f. Find the first derivative of v(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -83, -67, -45?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, -163, -309, -513?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 2)\/(3\/6). Let s = 971 - 689. Calculate the common denominator of -95\/22 and 2\/d - s\/(-88).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 86287.\nAnswer: 56\/86287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8043*-4.\nAnswer: 3.2172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/15, -5, 5.5, 0.2, 2\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1457698*y + 1457837*y + 8640 = -8596 for y.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126776*v**3 + 3*v - 66389?\nAnswer: 760656*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*o - 839 + 839)*(4*o + 2*o - o) to the form r*o + q*o**2 + j and give q.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3611 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -42400000 to the nearest 1000000.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-196))\/(-2 + (-116)\/(-56)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-25))\/c**(-1) assuming c is positive.\nAnswer: c**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0451704296 rounded to 3 dps?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15015 and 1053.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 8*q - 25. Let m(p) = -2*p**2 - 14*p - 51. Let y(h) = -13*b(h) + 6*m(h). Let j be y(-19). Solve j = 3*s + 4 + 5, 4*k + 5*s + 15 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 10. Let s be u(10). Let f = -23 - s. Let l be (f + 0)*(-2)\/3. Solve t + 5 = x - l*x, 0 = -2*t - 5*x - 22 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(152)\/(sqrt(8) + sqrt(288)*-6) + 2)**2.\nAnswer: -2*sqrt(19)\/5 + 60044\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpnsjsujojojjsjooos. What is prob of sequence upon?\nAnswer: 5\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 192*h**5 + 272*h.\nAnswer: 3840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 3.1\nAnswer: -0.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185 - -52. Let i = -91 - x. Calculate the remainder when i is divided by (-4)\/(-24) + (-477)\/(-54).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1390.5526 to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5341 + -3951310.1613.\nAnswer: -3945969.1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1187*d**3 + 4*d**2 - 119*d wrt d?\nAnswer: -7122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**3\/3 + 3*k**2 - 6*k - 57. What is x(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 3*k - k - 20, -5*w = -3*k - 15. Let a = -0.031 + 107.031. Let g = a + -107.31. What is the second smallest value in w, 2\/21, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*(sqrt(133) + 2*sqrt(133))*4)\/(sqrt(567) + (sqrt(567) - -1*sqrt(567)) + sqrt(567) + sqrt(252)*2)*-6.\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 52*s**2 + 54*s - 49. Let u be a(53). Let w(m) = m**3 - 5*m**2 + m + 9. Determine w(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -37, -37, -33?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -268.3895 to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359381 at least 1359382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-2)\/(24\/5) + (-24)\/(-72).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 427 + -422. What is the second biggest value in t, 2, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19335509.3 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4018 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56935\/136644*1\/(15\/44).\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -606, -617, -634, -657, -686, -721?\n\"Answer: -3*n**2 - 2*n - 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17807, -17808, -17809, -17810, -17811?\n\"Answer: -i - 17806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 + -48. What is the greatest common factor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.047 and -1.68.\nAnswer: -21.91896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + ((-1*sqrt(152) + sqrt(152))\/sqrt(8) - (sqrt(38)\/sqrt(2) + 4)) + ((sqrt(1539) + 2)*3)**2 + 4.\nAnswer: 323*sqrt(19) + 13886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -3. Let a = -884.6 - -884. What is the second biggest value in a, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3368 + 47085\/14. Let l = -2\/7 - v. Factor -l*i - 1\/2 - 12*i**2 - 8*i**3.\nAnswer: -(i + 1)*(4*i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*o - 12, q - 6*q - 5*o + 20 = 0. Suppose s + 4*s = q. Which is the biggest value? (a) s (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 < -186428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 7, -38, -139, -314, -581, -958, -1463?\n\"Answer: -3*n**3 - n**2 + 17*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/4 - 5*y**3 - 11*y**2\/2 + 5*y + 21\/4.\nAnswer: (y - 21)*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0191*33452.\nAnswer: -638.9332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - -8) + 7 + (5 - -7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/2 - (-21)\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 11 - 40)*(t**3 - 3*t**3 + 3*t**3)*(-3*t**2 + 0*t**2 + 4*t**2) + (-4*t**3 - 4*t**4 + 4*t**3)*(t + 2*t - 4*t).\nAnswer: -15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*k + 938 = 0, 5*v = 2*v + 4*k + 706. Calculate the highest common factor of v and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**2\/2 - 469505*j\/2 = 0.\nAnswer: 0, 469505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -39 (b) 2\/7 (c) -5 (d) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 307 + 42 + 167 - 263 + 55*j in the form h*j + m and give m.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*v + 2*i, 18 + 3 = 3*v - i. Let w be 7 + ((-4)\/(-4) - v - -6). Calculate the highest common factor of 52 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5682*w**2 - 2842*w**2 + 37 + 12 - 27*w**3 - 2840*w**2.\nAnswer: -27*w**3 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 133864124\/5 or 26772824?\nAnswer: 133864124\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {y: 3, h: 3, e: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -23. Suppose x*z = 4*z - 2*q + 14, -5*q - 7 = -4*z. Suppose 6 = -w + z*w. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 34*f + 374 = 0, -2*i = -16*f + 14*f + 5 + 17 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -1 + 0 - sqrt(17))*-6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - g + 121, 5*r + g - 304 = -g. Let i = 94 - r. Suppose i - 5 = 3*u. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22, 29, 50, 91, 158, 257, 394?\n\"Answer: q**3 + q**2 - 3*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.432 + 8.672. Let a = -0.24 + b. Let o = a + -8.0000088. Round o to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 30 - 1\/2*i**2 + 14*i = 0.\nAnswer: -2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from {i: 3, f: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 14*u**2 - 16*u - 9. Let z be n(-15). Let y be (96\/(-28) - -4)*(1 + z). Let x(h) = 3. Let d(s) = -s - 4. Calculate y*x(f) + 3*d(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 4*o. Let n(m) = m**3 + 7*m**2 + 5*m - 10. Suppose 8 + 36 = k + 2*w, -w + 85 = 2*k. Suppose 8*y = y - k. Let q be n(y). Calculate b(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 4b20909?\nAnswer: -4b20909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + 1 - 2*w**3 - 4*w**2 + 3*w**2 - 4 to k*w + z*w**3 + p + l*w**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ooooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1072*z**6 + 99*z**4 - 3923*z**2 + z.\nAnswer: -128640*z**3 + 2376*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -624968, -624960, -624952?\nAnswer: -624944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6586239110.\nAnswer: 2, 5, 11, 17, 3522053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -17*d. Let t = -0.32 - -0.02. Which is the closest to d? (a) t (b) -5\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by (15 - 21)*(0 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n + 74*n**2 - 7 - 5*n**3 - 17*n**2 - 58*n**2 to r*n**3 + c + s*n + i*n**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 6*p + 1. Give c(4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*p**4*s + p**4 - 33*p**2*s**3 - 9*s**3 wrt p?\nAnswer: -8*p**3*s + 4*p**3 - 66*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -322 + 451. Let v = 55 - q. Is v > 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504106327.\nAnswer: 504106327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*s + 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*d**2*k + 30*d**2*w**2 - 168310*d**2 + 27*d*k + k*w**2 - 2543*k*w wrt k?\nAnswer: 4*d**2 + 27*d + w**2 - 2543*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-12) + (-7)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzeyyzvyzev. Give prob of picking 3 z and 1 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -2*o**3\/21 - 148*o**2\/7 - 10952*o\/7 - 261. Factor a(m).\nAnswer: -2*(m + 74)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -26. Suppose 3*m - j = m - 5*z, 0 = 2*m + z - 6. Let y(c) = 2*c**2 + m + 3*c**2 - 2. Let x(f) = -4*f. Give x(y(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 1, t: 1, e: 1, k: 3, o: 6}. Give prob of sequence gk.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23)\/(-7) - (-2)\/(-7). Solve -9 - 108*u - 327*u**2 - 147*u**4 - 4 - 378*u**w + 1 = 0 for u.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 826, -203, -1912, -4301?\n\"Answer: -340*b**2 - 9*b + 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 876 + 1531 = 132*g - 1553. Solve 230 - 380 = -g*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/11 - 28*m**2\/11 - 62*m\/11 - 32\/11 = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 28\/16*4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 10:29 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/1595 and 2416\/(-30200) + (-1 - 1218\/(-1100)).\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 879*g**5\/10 - g**3\/6 + 3*g**2 - 3*g. Is l(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 9. Let y be u(4). Let l(v) = v. Let g be l(7). Sort y, g, -3 in decreasing order.\nAnswer: g, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p. Suppose -5*k = q - 6 - 6, 0 = 5*q - 3*k + 24. Calculate the lowest common multiple of (-3)\/9*1 - 19\/q and h(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s - 2*s)*((0 - 1 + 2)*(s + 1 - 1) + 2 - 2 - 2*s + 5*s - 3*s + s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 100*d**2. Let p(b) = 2715*b - 2715*b - 9*b**2. Calculate 45*p(i) + 4*w(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 4)*(-86*h + 57*h - 84*h)*(h**3 + 0*h**3 + h**3) + 49*h**2 - 49*h**2 - 12*h**4 to the form u*h**4 + w*h + k + v*h**2 + l*h**3 and give u.\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 29400 = -15*o. Suppose -3*s = -10*s + o. Does 12 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2*c**2 + 0*c**2 - 3 + 0 to m + g*c + k*c**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949 is divided by 187.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 14*q**4 - 760*q**3 + 760*q**3 - 2*q**2 as m + d*q**4 + g*q**3 + s*q + t*q**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-1\/4)\/q*q)\/q*q**(-6))\/(q**1)**(2\/21))\/((q*q\/q**(-1\/2))**(1\/70)*(q\/(q\/(q\/((q\/(q*q\/q**3)*q)\/q))))\/(q**(-2)*q)) assuming q is positive.\nAnswer: q**(-134\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 471 + -130. What is the greatest common divisor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -4. Suppose 3 = -i + x. What are the prime factors of (3\/(-5))\/(i\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 2*q**2 + 42*q - 84. What is x(6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 4. Calculate c(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of 0 + 1\/12*q**4 + 3*q - 13\/60*q**5 - 1\/3*q**3 + 18*q**2. Let c(h) = -6*h**2 + h - 1. What is -7*c(p) + 3*x(p)?\nAnswer: 3*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.2 (b) -41\/2 (c) 4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -171.785 and 13.\nAnswer: -2233.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 37. What is the nearest to -1 in 11, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 - 1.03. Put 5, 0.5, z, 3 in descending order.\nAnswer: 5, 3, 0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 2*o - 504. What are the prime factors of o?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -242?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b - 5*j, 5*j - 43 = -4*b - 18 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 18078632\nAnswer: -1\/9039316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 10:46 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41*c - 73*c - 4*c)*(-c + 0 + 0 + 1) as u*c + z*c**2 + i and give z.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33\/10 of a meter?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 - 61 = 4*q. Let o(p) = p**3 + 28*p**2 - 32*p - 67. Suppose -173 + 57 = 4*f. Let d be o(f). What is the greatest common divisor of d and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*z**2 - 9*z + 7 + 3*z - 4*z - z.\nAnswer: -106*z**2 - 11*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 542, 7, 8.1, 1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.27181 to 1 dp.\nAnswer: 24.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 864*r**2 - 613 + 167*r**3 - 1727*r**2 + 863*r**2 + 2*r wrt r?\nAnswer: 501*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165755611.\nAnswer: 7, 179, 132287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 145629 less than 1.3?\nAnswer: -145627.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-16)*(-8)\/(-3). Let l = 11 - x. Calculate the remainder when l is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.02 times 3\nAnswer: -15.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -196.999842 - -197. Round n to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67.19 + 75.683. Let g = q + -8.03. Round g to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 140812238?\nAnswer: 140812238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1535*j**2 - 1620*j**2 - 1950*j**2 as r*j**2 + w*j + n and give r.\nAnswer: -2035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92900 and 200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125 + 2*s**2 + 6*s**2 + 4*s + 113 wrt s.\nAnswer: 16*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 7*q + 21. Let m be z(-3). Let a(i) = 2*i**3 + i**2 + 4*i + 28. Is a(m) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 69 = -5*p - 10, -4*p = 3*j - 55. Find the first derivative of 22 + 14*i**3 + j - 13*i**3 wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 11*c - 8. Let u be a(7). Suppose u = 13*l + 43. Solve l*t - 6 = 4*q, -4*t - 5 = q + 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/13, 2, 6, 5, 0.1 in decreasing order.\nAnswer: 6, 5, 2, 2\/13, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/26 and (0 + 5\/(-135))\/(2\/(-183)).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3672 = -41*l + 68*l. List the prime factors of 10625\/l + (-2)\/16.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5382, -5373, -5360, -5343?\n\"Answer: 2*f**2 + 3*f - 5387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228386, -228363, -228302, -228185, -227994?\nAnswer: -227711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a = 24. Let i(m) = -m**3 - 12*m**2 - m - 10. Let d be i(a). What is the units digit of d\/3*(-3 + 36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 716c?\nAnswer: -7173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y + 310. Let h = 62 - y. Suppose h = -c - 0*x - 4*x + 108, -2*x + 474 = 4*c. What are the prime factors of c?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -9. Let s be (-3)\/12*(-1 + n). Suppose -5*v + 2*v + c - 1 = 0, 3*c = -6. Which is greater: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/5, 205, -3\/8 in descending order.\nAnswer: 205, -3\/8, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and 0.033.\nAnswer: -10.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5954 divide 4617546190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1653421*h**4 - 12480*h + 22 wrt h?\nAnswer: 19841052*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-32)\/(u**(1\/27)*u**(-20)))**(-2\/45) assuming u is positive.\nAnswer: u**(-2806\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10220 + (-21)\/(-5 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*v + v, -q - 10 = 2*v. Which is the smallest value? (a) q (b) -5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 + 282*v + 3. Let o(y) = 8*y. Calculate i(o(c)).\nAnswer: -320*c**2 + 2256*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.039 - -2.139. Let c = o - 1.8. Let d be (0 - 1) + 30\/18. Put 1\/4, c, d in ascending order.\nAnswer: 1\/4, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1885*s**2 - 151350 + 151350)*(3 + 0 - 2) as j*s**2 + v + g*s and give j.\nAnswer: -1885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -786 divided by 284448\nAnswer: -131\/47408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-172)\/180 - 48\/1080. Is b <= -41\/368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 2)*(3 - 2 - 3)*(4 + 0 - 6)*(-1 - 2*b + 1).\nAnswer: 40*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 77874.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.03447814\nAnswer: -0.1723907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-399)\/210)\/((-33)\/(-330))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 40 = -5*f, -4*r + 2*r = 4*f + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 + -36. Let q be (-1 - z\/(-9)) + -2. Is q bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 17 - 7 = 3*b, -10 = -5*h - 2*b. Suppose 14 - 4 = -h*a. Sort 3, 5, a in increasing order.\nAnswer: a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 42*k**2 + 337*k + 252. Give s(-49).\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(3*m**3 + 3*m**3 - 4*m**3) - 5*m**3 + 2*m**3 + 2*m**3 - 4*m**3 + m**3 + 2*m**3 + (-2*m + 1 - 1)*(5*m**2 - 4*m**2 + m**2) - m**3 - 4 + 4.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 divided by -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9152*n**3 + 13870 wrt n?\nAnswer: 27456*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273678 - -5871.\nAnswer: -267807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 2. Give z(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -502857*f + 3520046. Determine c(7).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 251 - 235. Suppose 0 = -o*n + 11*n + 1570. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 1:38 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -11*r + 1. Let c(f) = -20*f - 632. Calculate c(q) - 2*n(q).\nAnswer: 2*q - 634","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 + 0.79999952. What is m rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 30 and 110\/1679 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {m: 7, d: 1, w: 1, y: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)\/((y*y*(y\/(y**1*y))\/y)\/y))**(-9\/8)*(y*y**(2\/11)*y*y**2)\/(y\/(y\/(y**(2\/5)\/y))*y*y**(-2)) assuming y is positive.\nAnswer: y**(2247\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -w**4\/12 + w**2\/2 + 2*w - 2. Let h(f) = -2*f**3 - 2*f**2 + 5. Determine h(t) - 2*j(t).\nAnswer: -2*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5920 - -8330. List the prime factors of o.\nAnswer: 2, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 51. Let m = 3 + -3. Let t = -2.2 - -2. What is the nearest to t in m, 1\/2, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 17*o**2 - 311. Let g(q) = -22*q**2. Calculate r(g(s)).\nAnswer: -748*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 2, j: 1, b: 5, m: 2, t: 2}. Give prob of sequence bm.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651757 is divided by 108259?\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5\/6, 3\/17, 2\/11, 17, 737 in ascending order.\nAnswer: -2, 3\/17, 2\/11, 5\/6, 17, 737","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/7 (b) -36\/35 (c) 0.3 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143671 + 161.6663.\nAnswer: -143509.3337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 4, 1\/7, 2\/5, 1\/101?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -301, -306, -315, -328, -345, -366, -391?\n\"Answer: -2*b**2 + b - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 - 2*n - 2. Let j be o(-2). What is the smallest common multiple of 16 and (9\/6)\/(j\/(-16))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 8*f**2 + 7*f + 6. Let b be k(7). Suppose b*y = -3*r + y + 71, -2*r - 2*y = -54. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13 - (10 - 28)) + 0 + 68. Suppose -32 - 127 = 3*n. Let h = w + n. What is the lowest common multiple of h and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -1040*d - 2076. Is 12 a factor of j(-72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-6*sqrt(931) + -1)*-5 + -6*(-4 + -4 + sqrt(931) + sqrt(931) - sqrt(931))**2).\nAnswer: -5292*sqrt(19) + 35790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165050688347 - -11589859335413871\/70220. Let d = n + -1\/7022. What is the common denominator of d and -91\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642029075.\nAnswer: 5, 109, 235607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17478831?\nAnswer: 3, 5826277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/(((-88)\/(-36))\/(-22))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddttttddt. What is prob of sequence dttd?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(9 - (-35)\/(-5)). Are 2 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 773 (base 9) to base 4\nAnswer: 21321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*y + 17050530 = 17058566 for y.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30585 + 77607 = 56*w. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 9 - (0 + (0 - 3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22870 and 61575188?\nAnswer: 4574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1148*c - 70081. Determine n(62).\nAnswer: 1095","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06235789919 to six decimal places.\nAnswer: 0.062358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l. Let a(m) = -3*m**2 - 1086*m + 16. Determine v(a(s)).\nAnswer: 27*s**2 + 9774*s - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22414568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -42996.723871845?\nAnswer: -42991.723871845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-24)*4*(4 + -4). What is the nearest to j in 29, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 9*i + 15. Let z = 3991 + -3984. What is u(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 6, -426, 101 in decreasing order.\nAnswer: 101, 6, 5, 3, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34\/9 in -0.4, -0.1, 12?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = 2*y. Let g(s) = -s**3 - 4 + 3*s + 2 - 2 + 7*s**y. Does 25 divide g(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10) - (0 + (-56)\/(-10))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4371b056 + 1?\nAnswer: 4371b057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 723\/2, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 886*v = 482*v - 2564 - 264 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 40\/14 + -3 + (-902)\/1722. Put m, 19, -24.7 in ascending order.\nAnswer: -24.7, m, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.613 - -0.113. Let t = 71\/52 + -8\/13. Let b = 98 - 98.3. What is the third smallest value in 4, t, b, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12210 + -200112222?\nAnswer: -200202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/(-129)*2\/14*3*-1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/232 and 31\/33466.\nAnswer: 133864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 347115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -117.6 - -21.6. Let v = r - -57. Let s = -40 - v. What is the biggest value in -0.4, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8873399*-3.\nAnswer: 26620197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**5\/15 - c**3\/6 + 36*c**2 + 8*c. Let w(n) = -n**2 + 1. Determine -3*d(x) - 6*w(x).\nAnswer: -6*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 2*n + (-6 + 1 + 3)*(4*n - 4*n + 2*n) + (-n - 2*n - 4*n)*(6636 - 13794 + 6442) + (-1 + 4 - 2)*(2*n + 2*n - n) to the form j*n + a and give j.\nAnswer: 5009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, h: 3, m: 2, z: 3, l: 2}. What is prob of picking 2 h and 1 c?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*z + 5*z = 23, 3*n - 5*z + 5 = 0. Suppose n*m - 40 = 45. What is the greatest common factor of 34 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*u - 38. Let j = 245 - 134. Suppose -s = 4, -5*k + 27 + j = 3*s. What is the highest common factor of u and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-15)\/(-85)*(-355)\/(-426)*(-2)\/5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/3)\/((-2)\/3). Suppose 0 = -3*l - 3*a + 18, 0 = -2*l + 4*a - 2 - 4. Which is bigger: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 972468317 - 148785165013\/153. Let b = t - 16258. Calculate the common denominator of b and 65\/102.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f - 5*f + 2*f)*((-f + 2*f + 4*f)*(0 + 2 + 0) - 5*f + 4*f - 2*f) to the form a + w*f + b*f**2 and give b.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1795*g + 2302*g = 21436 + 248966 for g.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187248 is divided by 3540?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 4*d**2 + 9. Let y be l(3). Solve -2*i - 20 + 30 = y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214420 (base 5) in base 12?\nAnswer: -43b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 <= 0.011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114 and 399.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*z - 4847 = 8389, -2*g - 2*z = -5296. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 261 + -174. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3*r - r)*(5*r - r - 2*r) - r**2 + 3*r**2 + 6*r**2 - 3*r**2 + 4*r**2 - 2*r**2 + 3.\nAnswer: r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p + 40 = -4*u, 89125*u + 22 = 2*p + 89127*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 45665057?\nAnswer: -4566505a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1920\/(-64))\/((-63)\/(-3))\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58454 is divided by 27651.\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6 + 335 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three sevenths of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + (1 - -4) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.9 - -1.1. Is z at least as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, m: 2}. What is prob of sequence fmfm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2545315.\nAnswer: 5, 509063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -113652 take away 0.254?\nAnswer: -113652.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + -40)\/(-3) - -5 - 40?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-4 + 2\/(-1))*108\/(-27) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Let d(r) = -2*r + r + z*r**2 + 2*r**2 - r**3 + 2 - 3*r**2. Give d(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*c - 153. Let y = -12 + c. Solve 1 + 21 = -5*b - 4*l, -2*b - y*l = 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y + 6*y - 2*y - 3 - 3 - 4 + y.\nAnswer: -6*y - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -cab735?\nAnswer: cab730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -617083 or -617081?\nAnswer: -617083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/7 (b) -5 (c) 5\/2 (d) -1 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*f**2 + 3 + 3 - 2.\nAnswer: 3*f**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -262.\nAnswer: -3\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 622, 623, 624?\n\"Answer: a + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -6 - (-177)\/57.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 38*l + 257. Determine b(-7).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1179 to 3 decimal places.\nAnswer: 0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + (5340\/150 - 27). Suppose -3*i = -0*i - 15. Let g be (6\/(-20))\/(36\/(-15)). Sort g, i, 0, p in ascending order.\nAnswer: p, 0, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29474946 > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 19*b**2 - 3*b - 2. Let w(j) = -2*j**3 - 37*j**2 + 7*j + 5. What is 14*q(i) + 6*w(i)?\nAnswer: 2*i**3 + 44*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 - 506*v**2\/3 + 12745*v\/3 + 13250\/3.\nAnswer: -(v - 25)*(v + 1)*(v + 530)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y + 111. Calculate z(-23).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2 + 7236*a - 14464 = 0.\nAnswer: 2, 3616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75200 and 40.\nAnswer: 75200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8690.709 millennia?\nAnswer: 869070.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19959.\nAnswer: 3, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -954 = 12*a + 3414. Let n = -361 - a. Let y = 1 + 4. Solve z + 11 = -y*x - 10, n*x = -2*z - 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -3\/9607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {e: 1, p: 1, m: 5, r: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 4*n - 5*i = 0, -2*n + 3*i = -8. Suppose 4*p - 10 - n = 0. What is the smallest common multiple of 9 and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/5 of a hour?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 528 and 1736922.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/4)\/p*p\/(((p**(-12)\/p)\/p)\/p))\/(p**(-7)\/p*p*p**(4\/3)*p))**(1\/5) assuming p is positive.\nAnswer: p**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - b**2 + 3*b - 2. Let m(i) = 925*i**4 + 4*i**3 + 4*i**2 - 12*i + 1753. Let d(r) = -m(r) - 4*y(r). What is the first derivative of d(p) wrt p?\nAnswer: -3700*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -8. Let c = y - -9. Find the second derivative of -4*u**4 + u**4 - 3*u + 0*u**c wrt u.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000032368754 rounded to 7 decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 c, 1 g, and 1 p when four letters picked without replacement from {g: 3, c: 1, t: 2, f: 1, p: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 71.41869kg?\nAnswer: 71418690000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 13*p - 12. Let m be o(11). What is the least common multiple of 4\/(-2 - (-10)\/4) and ((-90)\/25)\/(-6)*m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 100\/11, -26, 0.4, -5, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-183368*o - 13024*o**3 + 183368*o - 3764*o**3)*(4 + 2*o**2 - 4).\nAnswer: -33576*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6270 = -434*o - 1930 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 13. Calculate the smallest common multiple of 30 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 7) to base 10\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 200289.\nAnswer: 20028900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, 0.05 in increasing order.\nAnswer: 0, 0.05, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19345 + 8*c**3 + 19345 - 11*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165518370 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273424612595 - -0.5.\nAnswer: 273424612595.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -1 (b) -0.02 (c) 0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/3 + n**3 - 5*n**2 + 17*n\/3 - 2 = 0 for n.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6 = -t. Suppose 2*y + t*a - 21 = 42, -5*y + 192 = -4*a. Suppose -72 = -2*x - x. What is the greatest common divisor of y and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -13*r**3 + 3*r**2 + 20*r + 18. Determine w(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80329?\nAnswer: 80329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 390, 556, 702, 822, 910?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 40. Let g be (j - 4)\/((-2)\/(8\/6)). Let z(r) = 0 - r**2 + 6 + 5*r - g*r - 2*r. Calculate z(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4012013401 to the nearest integer?\nAnswer: 63340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2298 + -1616. What is the greatest common factor of 62 and x?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.188 plus -4274.881247?\nAnswer: -4275.069247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -748, -674, -626, -616, -656, -758?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000158127 to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -8 + 13 - (-1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.061 - 0.039. Let n be 0 + (1\/2 - 1). What is the nearest to n in d, -1\/5, 2\/7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-10)\/w*w)**(1\/14) assuming w is positive.\nAnswer: w**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b - 25. Let o be j(-9). Solve -o*i + 8 - 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**3\/4 + 4215*h**2\/4 - 16925*h\/4 + 12705\/4 = 0. What is h?\nAnswer: -847, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 + -2.6. What is the third smallest value in 0.3, h, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 17345.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001 - 100110001111110?\nAnswer: -100110000101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105139 = -2612*g - 15013 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2970 and 8208090?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 8) in base 2?\nAnswer: -110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 - 2*h + 3. Determine v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 20. Let v(a) = 5*a + 4. Let b be v(-3). Is 11 a factor of m\/(2\/b - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2707527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2292, -0.4, -9 in increasing order.\nAnswer: -2292, -9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 396 divided by -44\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:16 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-6 - -1) + 3 - -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100022112 - -122112220?\nAnswer: 22020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 12*s + 28. Let c be (-1*1)\/((-14)\/112). Determine x(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-4)*l*l*l*(l**(-3)*l)\/l*l)\/((l*l\/l**(1\/7)*l)\/(l*l**5*l)) assuming l is positive.\nAnswer: l**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Let s be -2*(1 + -4)\/o. What is the third derivative of 2*v**6 + v**s - 5*v**2 + 2*v**2 wrt v?\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224272567 a multiple of 4447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100181607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(504) + (-2*sqrt(504) - sqrt(504))))\/((-4*sqrt(32) + sqrt(32))*-6).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/66)\/((9\/(-108))\/(5\/(-20)))?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24765 divided by 4953?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1236309303 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*m - 5*j, m = 5*m + 3*j - 21. Let y(u) = u**2 - 7*u + 7. Determine y(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*o**3 + 93*o**3 - 214*o**3.\nAnswer: -57*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3832*r**3 + 3208*r**2 wrt r.\nAnswer: -22992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1184, 2444, 3778, 5192, 6692, 8284?\nAnswer: 9974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -473 + 475 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/18 and -7 - (-6 + (-5352)\/704 + 6)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 208941 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 36 - 0. Let c be ((-6)\/4)\/(18\/y). Suppose -z = 3 + c. Let b(x) = x**2 + 7*x + 6. What is b(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t. Let h = 0 + t. Which is greater: 1\/5 or h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5517300 and 16.\nAnswer: 22069200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -518, -521, -526, -533, -542, -553, -566?\n\"Answer: -q**2 - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 16 = 50. Let a be s\/(2\/(-1) - 0). Let u = a + 21. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5714 - -88?\nAnswer: 5802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10*15\/27. Let z = 40 - 47. Let x = z + 7.3. What is the second biggest value in x, 1\/3, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4689 (b) -7 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 410 - 408. Solve -3*x = -9, -3*m - 4*x = w*m - 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 64 = 2*r - 4*r, -2*m - 60 = -2*r. Let h = 148 - r. Calculate the highest common divisor of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 2, r: 1, l: 1, j: 1, m: 1}. What is prob of sequence jm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 2*v - 1. Let o be -10*6\/(-90) + 22\/(-6). Calculate w(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 406261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3724 divided by 4.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/21*(-7)\/(-2). Suppose -a = 5*d - 9*d. Suppose d*q - 150 = -4*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p. Let o(s) be the second derivative of -s**4\/12 + 3*s**2\/2 + 2*s. Let h(i) be the first derivative of o(i). Give y(h(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.3 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 9*o + 10. Let m be s(5). Let t(u) = 1 + m*u**3 + 6*u**3 + 3*u**2 + 4*u - 12*u**3 + 0*u**3. Give t(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*s**3 - 154 wrt s.\nAnswer: -345*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.1 (b) 1\/12 (c) 2\/21 (d) 6 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004754608 to seven dps.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.59064 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205380?\nAnswer: 2, 3, 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbxt when four letters picked without replacement from {f: 2, q: 1, b: 2, t: 1, d: 1, x: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 5*x. Let i be c(-5). Suppose i*o + 2*o = 10. What is the smallest common multiple of 3 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15 + -5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6 - 2*s**3 - 3*s - 3*s**2 + 2*s**3 - s**3 - s**2. Let p be f(-4). Find the common denominator of 3\/p + 230\/(-36) and 59\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 2\/21169519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*d - 233*d + 21160 = -12880 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0\/s*s*s)**17\/(s**(2\/7)*s)**(7\/6))\/((s**(-2\/7))**(2\/109)\/(s**(-2\/9)*s**(-2\/15))) assuming s is positive.\nAnswer: s**(1040329\/68670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.09, 20\/17, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 3}. What is prob of sequence av?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 h when two letters picked without replacement from {g: 2, h: 4, p: 4, r: 2, v: 7}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39256103 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 25 = -5*t, 48 - 37 = 3*s + 4*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277*2.2.\nAnswer: 609.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**5\/180 - t**4\/9 + 7*t**3\/18 + 2*t**2 - 13. Let q(o) = 0. Calculate o.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 129, 297, 533, 837, 1209, 1649?\nAnswer: 2157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-3))\/(22\/1452*22)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-8))\/((-3)\/(-24)). Suppose 2*y = -q - 0. Let l = 13 - 13. What is the nearest to 1\/3 in l, -5, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*c + 40*c + 810 = 0 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8726 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 - 3*y**2 + 30*y + 0*y - 77.\nAnswer: -3*(y - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m**2 - 339*m + 6227. What is a(25)?\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fcww when four letters picked without replacement from {w: 5, f: 3, c: 2, b: 2}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2144, 2152, 2184, 2252, 2368, 2544?\n\"Answer: 2*j**3 - 6*j + 2148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -10445, -0.12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 21 = 25, -w + 63 = 3*j. Is 3 a factor of (-9 - w)*(-1)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2144.7 and 0.\nAnswer: 2144.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0157998 to four decimal places.\nAnswer: -0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 654.42 grams?\nAnswer: 0.00065442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 2*k**3\/3 - 17. Let r(b) = 17*b**2 - 2*b. Determine a(r(g)).\nAnswer: 578*g**4 - 136*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -23200141 (base 5) to base 6\nAnswer: -4253313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u - 3. Let b be w(13). Suppose 10 = -h - 2*v + 2, -5*v - b = 0. Let s(y) = -y - 1. Give s(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 71, 182, 385, 710?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 3 (c) -815 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.4 - -3.495. Let w = -211849.0950078 + 211849. Let k = w + v. What is k rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*m = 8. Let y be (4\/1)\/(-1)*1. Put -1, y, m in descending order.\nAnswer: -1, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjwjjjjjjwjjwjjjjw?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2270740\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11781 - 11777. Put 0.035, p, -1\/8 in decreasing order.\nAnswer: p, 0.035, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjpp when four letters picked without replacement from {s: 2, p: 3, j: 13}.\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-2) - 93\/30. Which is the closest to -2\/5? (a) i (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppkrpkrppmkpkkkkrkk. What is prob of picking 1 m and 1 r?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**0*q)\/q)**22\/(q\/(q**(-5)\/q)*q**(2\/3)) assuming q is positive.\nAnswer: q**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 3*f - 3, 0 = -7*f + 3*f - 2*a - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, u: 3, j: 3, t: 1}. What is prob of sequence mj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = -t + y + 408, 3*t - 4*y - 561 = 0. What is the remainder when t is divided by 158?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -391 - -463. Let h = g - 63. Which is the nearest to -3? (a) -2\/9 (b) 1 (c) 2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**3 + 2*r**2 - 1. Let i be y(-1). Let n be (-15)\/(-2) - 3\/i. Let w(u) = u - 6. Let z be w(8). What is the greatest common factor of z and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 661 or 656?\nAnswer: 656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 292264361*b**3 - 22354*b + 2104 wrt b?\nAnswer: 1753586166*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/29))\/(j*(j\/(j*((j\/((j*j*j**(-9))\/j))\/j)\/j))\/j*j))**41 assuming j is positive.\nAnswer: j**(8405\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -106, 49, 2.\nAnswer: -106, -4, 2, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5 + 16516*o**4 + 33981446*o**3 - 478402748*o**2 + 1198281920*o + 1710649600 = 0 for o.\nAnswer: -4136, -1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -21325?\nAnswer: -21325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/7)*t)**(1\/18)*(t\/t**1)\/(t*t**(-5))*((t*t\/(t*t\/(t**(-1)\/t)))**(-19))**(-2\/191) assuming t is positive.\nAnswer: t**(14830\/4011)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from aaaararaa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -399354 + 248797467\/623. Let z = 2\/89 - j. Factor 0 + 2\/7*d + z*d**2.\nAnswer: d*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0804 and 0.07.\nAnswer: 0.005628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 209652498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**6\/1200 - v**5\/75 - 3*v**4\/80 + 35*v**2. Find z, given that g(z) = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -860*k + 1434 = -859*k. List the prime factors of k.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (8 - 14 - (0 + -2 + -1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04 - -3.04. Let j = -1 - -1.2. Sort j, g, -5 in descending order.\nAnswer: g, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 54*c + 295.\nAnswer: -(c - 59)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2 + 70. Let r be (-1 + u)\/((-2)\/(-4)). Let z be r\/10 - 2 - 6\/15. Let m(o) = -12*o. Calculate m(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111010 (base 2) in base 6?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -2) + -14 + (6 + -1 - (223 - 209)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (5 - (3 - (6 + 5))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 426?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 5. Let y = -4 - 2. Give h(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 4*l**4 - 3*l**4 + (-6*l + 4*l + 3*l)*(-6 + 2*l**3 + 1 + 6).\nAnswer: l**4 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6885)\/1836)\/(4 - 27\/6)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14170 is divided by 189.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - y - 1. Suppose -1 = 5*l - 0*l - 4*q, -2*l = -2*q. Let m(x) = x**2 + 3*x - 1. Let u(k) = l*m(k) + h(k). Solve u(j) = 0 for j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/240*5)\/(((-825)\/60)\/5).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 d when four letters picked without replacement from dhsdhvhdhhhddhddhvhh.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + 18583576?\nAnswer: 18583561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2705.\nAnswer: 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42018, -42666, -43318, -43974?\nAnswer: -44634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -59 bigger than -30\/271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 8. Solve i + v*t - 14 = 0, -3*i - 3*t = 2*t - 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**4 - 4*a**2 + a + 1. Let t(b) = 431*b**4 - 12*b**2 + b - 5. Let s(n) = -3*k(n) + t(n). What is the second derivative of s(l) wrt l?\nAnswer: 5208*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -7\/90*w**5 + 1\/18*w**4 - w**2 - w + 0*w**3 + 0. Let y(s) be the first derivative of k(s). Factor y(i).\nAnswer: -2*i*(7*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 153 = 3*v + 145, -2*v - 18*p = -26 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 273 + 998 = 0. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.6 plus 9.363?\nAnswer: -16.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 227350 and 18080?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose 2*f = 7*f + 5*v - 30, 3*f + v - 22 = t. What is the lowest common multiple of f and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 174 + 6 = 0. Let o be (-4)\/2*3*115\/b. Let y be (8\/(-28))\/(12\/21). What is the second biggest value in o, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 s, and 1 q when three letters picked without replacement from {y: 2, g: 1, s: 5, i: 3, q: 1, k: 1}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-2 - -3) + 1. Suppose 0 = -4*v - 5*q + 9, q - y = -3*v - 0*q. Sort 0, v, -4 in ascending order.\nAnswer: -4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/60 - i**3\/3 + 11*i. Let j(m) be the second derivative of k(m). Let b(h) = 1 - 1 + 2*h**2. What is j(b(l))?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 25*v + 18. Let s be j(0). Let c be 34\/(-2 + (-84)\/(-39)). Let o = -77 + c. What is the greatest common factor of o and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000012248 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 433593 - 293487. Suppose -4*w - 2018340 = -4*m, -m + 2*w + 232252 = -272334. Let l = m + i. Round l to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56315 - -4?\nAnswer: -56311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w - 6*w + w)*(39*w + 42*w - 90*w) + (2 - 2 + 2)*(0*w**2 - 2*w**2 + 3*w**2) to the form h*w + s*w**2 + d and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2976445*j**6 - 2982*j**2 + 18*j + 11.\nAnswer: 357173400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*r*w**3 - 80*b**2*r + 3*b*r*w - 2*b*w**3 + 6*b*w**2 + 8*r*w**3 wrt b.\nAnswer: 2*r*w**3 - 160*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 86272.58 centuries?\nAnswer: 103527096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {a: 2, n: 1, e: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = 282*f - 456 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23322 by -1014.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 16 = 15*i. What is the highest common divisor of i and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 2 (b) -1\/3 (c) 20169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*y + 26*y - 28 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + -14. Let y = o - -36.9999995. What is y rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3430646019?\nAnswer: 3, 17, 22422523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 12296996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Expand (-6*a**3 + 4*a**3 + 0*a**3)*(4*a - a - a) + 10106*a - 10106*a - 4588*a**4.\nAnswer: -4592*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*j - 15 = 0, 3*r = 4*j - 2*j + 1. Let x be 1 - (0 - (-2 + 3)). Suppose 22 = r*i + 4*s, -3*i + 4*s + 52 = x*s. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/7))**41\/(y**(1\/7)\/(y*y*y**(-1)*y)) assuming y is positive.\nAnswer: y**(177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 20 = -5*p, -4*f - p + 44 = p. What are the prime factors of (2032\/f)\/(155\/25 - 6)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 7*a + 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/2486 - -4947\/12430. Factor -2\/5 + f*z**2 + 0*z.\nAnswer: 2*(z - 1)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*v + 4*v + 12*v in the form l*v + d and give l.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + s**2 + 4*s. Let n be j(2). Let k(h) = 7 - 8 - n - h. Let q be k(-6). Is q equal to -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17.1 + 15.1. Let a be 3\/4 + (-441)\/684. Sort c, a, 0.4, 6 in descending order.\nAnswer: 6, 0.4, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7719023209\/3598 + 2145365. What is the common denominator of 71\/63 and i?\nAnswer: 32382","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 4, k: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 950\/13 greater than 15815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by (-4 + -8)\/(3 + -2 + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 218 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-195)\/21)\/5)\/((-4)\/(-28)). Let j(p) = p**3 + 11*p**2 - 22*p + 50. Give j(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0 + 0)*(-2*v - 9 + 9 + (1 + 2 - 1)*(-4 - 2*v + 4)).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 11 - 9 = 0. Solve 0*u = k*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/4040 + 6669\/4040. What is the common denominator of 103\/38 and g?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1)*(6 + 117\/((-3042)\/364)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 34 (c) 2\/5 (d) -13.2 (e) 1\/6 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 4*m**2 - 23\/3*m**3 + 0*m + 7\/2*m**4 + 9. Differentiate y(b) wrt b.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 14 + 9)*(9*c**5 + 397*c**5 + 172*c**5 + (c**4 + 4*c**3 - 4*c**3)*(-c - 4*c + 3*c) + c**5 + 0*c + 0*c).\nAnswer: 577*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 3680085?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 less than or equal to 0.088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16027 + 16121. Calculate the remainder when 591 is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2725, 2718, 2711, 2704, 2697?\nAnswer: 2690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150910.\nAnswer: 2, 5, 71, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f + 11. Is d(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/50826139 and -25\/7260877.\nAnswer: 50826139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 259 + -258.789. Let b = k + -0.111. Put 3, 2, b, 5\/3 in decreasing order.\nAnswer: 3, 2, 5\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a41aa59 + 13?\nAnswer: a41aa71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -19. Differentiate -5 - 2*v**3 + 0*v**b - 2*v**3 with respect to v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (24 - 9)*4\/40*15146\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 5*a**7\/42 + 2*a**6\/3 - 3*a**5\/2 - 5*a**4\/3 + 25*a**3\/6 + 83*a. Factor d(x).\nAnswer: 5*x*(x - 1)**2*(x + 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 17*m**3 - 7*m**2 + 7*m + 13. Let a(h) be the third derivative of -11*h**6\/120 + h**5\/12 - 5*h**4\/24 - 3*h**3\/2 - 2*h**2 - 101. Give -7*a(l) - 5*c(l).\nAnswer: -8*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**4\/6 - 2*y**3\/3 + y - 3. Let x(p) be the first derivative of v(p). Determine i, given that x(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38224 times 1814?\nAnswer: 69338336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**5\/15 + u**2. Let y(n) = -2*n - 2. Let k(r) = -6 - 1 + r**2 - 3*r + 4. Let i(q) = 2*k(q) - 3*y(q). Calculate i(j(p)).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002122 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 1 - 19 = 0, 2*u - 5*s = -23 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**3\/10 + 211*z**2 - 37737*z\/10 + 84726\/5 = 0.\nAnswer: 9, 2092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3 + 4 + h**2 - 5*h + 0*h**2. Let a be q(6). Suppose -4*z + 45 = a. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/5)*b*b**(2\/9))\/(b**1*b**(-4))*((b**(-3)*b)\/b**0)\/((b*((b\/b**(-1))\/b)\/b*b)\/(b\/b**3)) assuming b is positive.\nAnswer: b**(-26\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) + 56\/20. Let k be w*2\/((-12)\/(-34)). Let o = k + -6. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/(-114))\/(21\/(-6)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 9*l + 3*l to the form u*l + f and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 3:15 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/22 + 756860\/(-23452)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -863*i - 163 - 118 = -833*i + 79 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*u - 4*h + 1962, 5*u = -2*h + 3284. Suppose l = -4*z + 140, 4*l + l - z = u. Suppose -l = 21*w - 22*w. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 4*z**2 + 2*z + 2. Let p be (-6 - 0)*(-2)\/4. Suppose 3*n = h + 21, -21 = -p*n + 3*h - 0. Suppose 2*s + 1 = -n. Give r(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v - 312. Let k(z) = z + 151. Calculate 13*k(d) + 6*u(d).\nAnswer: -5*d + 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/864 and 7\/96.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63\/496 - 1\/496. What is the common denominator of r and (21 - -1)\/(3707\/(-22) + 7)?\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/30 - (-23)\/(2129340\/18396). What is the third smallest value in r, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -109, -24, 0, -4, -7.\nAnswer: -109, -24, -7, -5, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 + 127. Let f = 1155 - 1098. Let m = a + f. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 13 = q, -4*v = 2*q - 1 + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u**2 + 147*u + 108. Let i be x(-27). Let y(l) = -66*l + 4. Let p be y(5). Let z = i - p. Calculate the greatest common factor of z and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + 7*k**2 + 16*k**2 - 20*k**2 + 4*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 - 8330 - 8494 + 0*w**3 + 16699.\nAnswer: -2*w**3 - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-6)\/(-12))\/(21\/(-154)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven fifths of a litre?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 8. Let m be y(-6). Let u be (-2 - -1)*m\/(-2). Let r = -793\/5 + 158. What is the nearest to u in -0.5, r, -6\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 20*k + 6. Let v(o) = -7*o - 2. Let x(d) = -6*s(d) - 17*v(d). Let z be x(-4). Let i(y) = y**z + 113*y - 113*y. Let f(r) = -17*r. Give i(f(h)).\nAnswer: 289*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218 + -213. Solve 5*v + s = 6*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + (-40 - -55 - 27)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -57. Solve -3*u + g*u = -12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 27, 4 in decreasing order.\nAnswer: 27, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*p**2 + 32*p**2 - 16*p**2.\nAnswer: 63*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1250 (base 9) to base 16.\nAnswer: -3a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 734, 1410, 2082, 2756, 3438, 4134?\n\"Answer: w**3 - 8*w**2 + 693*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273 + ((-7)\/35 - (-3)\/15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -8333*a**4\/4 + a**3\/2 + a**2 - 5*a. Let y be i(-2). Round y to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 2*n**3\/21 + 74*n**2\/7 + 2738*n\/7 + 53. Find b, given that p(b) = 0.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -3 + 0 + 7 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by (84\/(-8) + 3)\/(284\/96 - 3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5195417 to the power of 1\/2, to the nearest integer?\nAnswer: 2279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 835 = -3*o - 0*n, -847 = -3*o + 2*n. What is the hundreds digit of (o\/4)\/((-6)\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7601 + 3889. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 177 + -176. Which is the closest to 0? (a) i (b) -1\/8 (c) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2622042346 and 7766?\nAnswer: 7766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 29*k**2 + k + 1. Let z be (-6)\/(-15) + 7\/(-5). Calculate the remainder when o(z) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 7*n**4\/24 - 16*n**3 + 3*n**2 + 2. Let j be h(14). Factor 0 - 36\/5*y**j - 8\/5*y.\nAnswer: -4*y*(9*y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 93 - 9. Let f = 79 + x. Sort f, 5, -3, 6 in increasing order.\nAnswer: f, -3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*s - 135 = 0, s = 4*f + 2*s - 98. Let d be 14\/(-5)*f\/(-10). Suppose -w + d*w = 30. Let k(l) = l**2 - 6*l + 7. Determine k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022788242 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = 12*i + 2*i + 266 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 45*w**2 - 20*w - 76. Let x be d(-4). Let p = x + -698. Solve i + 12*i = -p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4*q = 17, -n + 3*q + 0 = 10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p - 32. Let n be k(-12). Let y = -69 - n. Calculate the remainder when y is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhof when four letters picked without replacement from hofhhfff.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524306 is divided by 30558?\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 199\/271 - 2062\/2439. Let y = 0.9 - 1. Which is the closest to q? (a) y (b) 0.1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20336 is divided by 115?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*o + 22, 3*o - 4*o = 5*k + 13. Let u = -9268331\/14391255 + 3470\/4547. Let x = -3\/211 - u. Put x, -0.4, k in decreasing order.\nAnswer: x, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152841*s + 152841*s = j - 1, 5*s + 3 = -3*j + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p - 5 - 1 + p**2 + 0. Let o be m(7). Is 1 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-10)\/15402) + 14\/(-7). Let a = n + -3332. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 6632b?\nAnswer: 66325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, b: 2, d: 2, h: 3}. What is prob of sequence hbdd?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 505.4239 millimeters in micrometers?\nAnswer: 505423.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 11:14 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/((-156)\/13 + 11). Suppose -5*y = -25, -3*y + 2 + 3 = -5*l. Suppose 4*f + 10 = l*t - 2, 5*t - 8 = -f. Solve 5*v = t*n, -5*v + g*v - 3*n = -25 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1)\/(15\/10 + -1). Solve 5*m = s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -333868 in -0.4, 2\/5, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -10*f**2 - 40*f + 20. Let w(s) = 2*s**2 + s - 1. Let g(u) = -q(u) - 20*w(u). Find the second derivative of g(t) wrt t.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5898, 5898, 5900, 5904?\n\"Answer: j**2 - 3*j + 5900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 + q**4 + q**3 - q**2.\nAnswer: -q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 508, 1964, 4376, 7744, 12068, 17348, 23584?\nAnswer: 30776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2795 - 705 = 2*g + 1170. Is g greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/5, 1\/4, -2\/7, -24?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 9\/14*v**3 - 5\/14*v**4 - v + 0 - 3\/7*v**2 + 9\/140*v**5. Factor w(i).\nAnswer: 3*(i - 2)*(i - 1)*(3*i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2578*q + 202375 + 39658 = 87767 - 180874 for q.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 80160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 13, 1, 0.336, -5, 7, -2\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/3*61056\/27136?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4 + 108868*v**3 - 9665308*v**2 + 209962620*v + 219736800 = 0 for v.\nAnswer: -1, 45, 27128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 - 80*d**2 + 81*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o - 1)*(-1 + 3 - 1) + (o - o - o)*(-2 + 0 + 0) + 5*o - o - 2*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m + 3*m + 0*m + 1 + 7*m + 7717*m**3.\nAnswer: 7717*m**3 + 16*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z + 5. Suppose 16*x = 31*x + 75. Let c be m(x). Solve 2 + c = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2978\/7 (b) -4\/3 (c) 0.6 (d) 0.1 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 + 1 - 1)*(32 + 4*i - 34 + i).\nAnswer: 5*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 18 = 3*d. Let r(t) be the second derivative of -1\/12*t**4 + d*t + 0*t**3 + 0*t**2 + 0. Let j(k) = k**2. Determine j(r(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -3 - (27 + -27)) + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-12))\/((-1)\/21). Suppose -m = -5*h + 8. Suppose h*n = 5*d + 5, 0*n - n = d + 1. Solve 0 = -j - n*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/249, -2\/9, 25, -4?\nAnswer: -1\/249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -670 - -732. Let h be g\/31*(2 + (-7)\/4). Let u = 0.3 + -0.2. What is the nearest to u in 2, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251651276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 1)*(2*c + 0*c - 4*c)*(-4 + 3 + 2).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1943 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -8 - 1\/42*w**4 + 4\/21*w**3 + 0*w**2 - 2*w. Suppose c(u) = 0. Calculate u.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 850, 1621, 2392, 3163, 3934, 4705?\n\"Answer: 771*l + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-33) + 160\/(-88). Let h = -1 - -1. Let u = h - z. Which is the closest to u? (a) -2 (b) 3\/2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 8*n - 8. Let f be p(-6). Suppose 2*k - 2 - f = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 83, -2, -4, -37 in decreasing order.\nAnswer: 83, 3, -2, -3, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1698*f + 2. Let h(u) = -u**2. Calculate i(h(v)).\nAnswer: 1698*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6072 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101.156 + 0.156. Let l = z + 100.6. Put -2\/33, l, 3, -2\/7 in increasing order.\nAnswer: l, -2\/7, -2\/33, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 k when four letters picked without replacement from {k: 5, u: 5, q: 2}?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 1:57 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6840719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 373 and 4100\/11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1*13 + (4140 - 4131)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-2)\/(-1) - 3). What is the units digit of (-3 + (-76)\/(-6))*q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/(894\/2491280*-76).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0561 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -9 - (4 - 8 - -20).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 23187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, i: 5, a: 3, g: 5, t: 4}. What is prob of sequence ttti?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 11*y - 5. Give q(-4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d - 84 + 22 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3*-9.1.\nAnswer: -11.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71400592?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -4*n + 4 + 13, -2*q + 4*n = 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1026819*z**3 - 512831*z**3 - 513989*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2885c8 (base 16) to base 3.\nAnswer: -11222220220211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78 - 75)\/((-1)\/3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 900 and 1005.\nAnswer: 60300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.74439919341 - -6.7444. Round b to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 1 - 1 + (117*w - 219*w - 310*w)*(4 + 2 - 5))*(4*w**3 - 4*w**3 - w**3).\nAnswer: 410*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/594)\/((-311)\/6842).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64404440*c**3 + c**2 + 125586*c - 38.\nAnswer: -386426640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 109*i = -112*i + 30, -34 = s - 3*i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/3 + 10*g**2 + 28*g\/3.\nAnswer: 2*g*(g + 1)*(g + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or 3\/8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1667*g = 574*g + 32003 - 2492 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 8600*q**2 - 17179*q**2 - 3*q + 6 - 8*q + 11 + 8589*q**2. Give v(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 4. Let j(t) = 5*t - 23. Let k(v) = -6*j(v) - 34*z(v). Let c(u) = -u**2 + 17*u - 10. Let i be c(15). Suppose i = -2*q - 3*q. Calculate k(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767 + -1835 - (-1 + -38)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 158.7.\nAnswer: -317.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-110)\/(-9) + (-14)\/63*1. Let t be -2*(1 - (-10)\/(-4)). Suppose t*h = 2*h + m. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6273409 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -391*i**3 + 1884*i + 174704417?\nAnswer: -1173*i**2 + 1884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g = 18*g + 9, i - 14 = -4*g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16975 is divided by 48?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 4. Suppose r - 5*r = -12, 3*y - c*r - 972 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 2.19.\nAnswer: -6.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*v + 4623 = -13*v + 37*v for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -11. Which is the nearest to 0.1? (a) t (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emm when three letters picked without replacement from seymesmyyyesyys?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -310 < -0.053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -55.92. Let o = -156 + 155.92. Let w = o - q. Which is the nearest to 0? (a) -2 (b) w (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from {w: 3, e: 2, a: 1, d: 1, b: 1, o: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 3*z = 24, -385753*m + 385754*m - 5*z + 16 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 + 2*h**5 - h**5 + (-2*h + 5*h + 0*h)*(-4 - 5*h**4 + 4).\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-9)*3\/5. Let t = 846.7 - 846.76. Which is the nearest to t? (a) -5\/6 (b) n (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.7 and -86408.2?\nAnswer: 86407.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4\/9 - 32*o**3 + 3460*o**2\/9 + 864*o + 4030\/9 = 0. Calculate o.\nAnswer: -155, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 4*q + 2365. Calculate the smallest common multiple of j(0) and 2150.\nAnswer: 23650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(4 - 2*d - 4)*(1311*d**3 + 1109*d**3 - 5373*d**3).\nAnswer: 5906*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -19.3 times -0.52025\nAnswer: 10.040825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10320216455 - -0.5?\nAnswer: -10320216454.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/53)*q**9*(q\/(q*q**23*q*q))**(1\/13) assuming q is positive.\nAnswer: q**(4902\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.3 + 7.9. Sort g, 0, 5\/4, 23 in ascending order.\nAnswer: g, 0, 5\/4, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in 5, -8, -1\/17, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 2430163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -29\/6 (b) 1 (c) 2 (d) 0.19 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6348 and 1104?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 289579 and 608.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*k = -8*k + 1, -2*q - 4 = 2*k. Let d(i) be the first derivative of -2*i**2 - 2*i + 62. Let r(m) = 1. Calculate q*d(p) - 3*r(p).\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83581, 167165, 250749?\nAnswer: 334333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 305015*q + 2745213. Give k(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-8)*8\/5. Suppose 44 = u*a - 5*s, 3*s = -10 - 2. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -952903, -952905, -952907?\nAnswer: -952909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3\/7, -2\/13, -22\/3, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 450 - 433.8. Let g = n - 12.2. Which is the smallest value? (a) -0.2 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 966\/60 - 1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 159125, 318222, 477317, 636410, 795501?\n\"Answer: -r**2 + 159100*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f**2. Let x(c) = -8*c**2 + 17*c. Let l(w) = -3*w**2 + 6*w. Let g(n) = 17*l(n) - 6*x(n). Calculate g(s(b)).\nAnswer: -192*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q**2 - 173*q + 378. Calculate f(-22).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3549388*o**4 + 6001*o**2 - 18.\nAnswer: -85185312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 16998873 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -6468409\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*p = 133*p + 127*p + 144 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17 times 0.417\nAnswer: -7.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/c**(-2))\/c*c\/c**(-1))**(-12)*(c*c**(-4)*(c*c*c*c**(-1\/5)\/c)\/c)\/(c*c**5*(c\/(c*c\/c**(-2\/13)*c))\/c) assuming c is positive.\nAnswer: c**(-4228\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 9. Let j be r(6). Suppose j = 4*b - 3*b. Suppose -b*q = -1 - 5. Solve q*z - 1 = 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 103 = -z - 85, 4*z + 5*y - 12 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - -3)\/(-4) - (-4 - 4). Solve -d = 3*t + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*h - 37*h**2 + 76*h**2 - 31*h**2 in the form a*h**2 + r + z*h and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-12)\/(-162))\/((-1)\/70662). Let g = o + 5243. Let h = -9 + g. Is 0 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**8\/56 + 19*m**7\/42 - m**4\/4 - 18*m**3 + m - 349. What is the third derivative of u(b) wrt b?\nAnswer: -120*b**3 + 1140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32986*q**2 - 2 - 8235*q**2 - 8237*q**2 - 8269*q**2 + 2 - 8244*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 85099701 to the power of 1\/2, to the nearest integer?\nAnswer: 9225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 745\/15 - 2\/3. Calculate the greatest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047326 to 4 decimal places.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 3*o - 9 + 28 - 1 in the form k*o + n and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-14)\/20 + (-16)\/(-80)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 9, -10 = 4*k - 4*r - 14. Let v(q) be the third derivative of q**4\/8 + q**2. Let s be v(k). What is the greatest common factor of 18 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 - -71.04. Let t = -0.04 + g. What is the biggest value in 3, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1251 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -4 (b) 0.024 (c) 0.83 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 12*s**2 + 3*s - 1. Let t be c(-13). Let f = t + -117. Calculate the least common multiple of 57 and f.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-6) + 23\/6. Let z be -10*6\/(-15) - (n + -2). List the prime factors of 830\/14 + (-5)\/(35\/z).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0 + 15. Let c = 8 - y. Suppose -5*o = p + 4*p + 10, 2*o + c*p + 8 = 0. Solve -z + 0*z = -o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17429, 34853, 52277, 69701, 87125?\n\"Answer: 17424*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16049, -32087, -48125, -64163?\nAnswer: -80201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (8*7\/14 - 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/(-143))\/(1504\/(-107536)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k = -3*h - 18, 3*k - 9 = 0. Let p(i) be the third derivative of 11*i**5\/10 - i**4\/24 - i**2. Is p(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1173*o + 2155. Give l(-2).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8539374 and 1074.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 16 = 17*t. Suppose -2*x = 2*l - 7*l + 5391, 2*x - 2162 = -t*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 220\/96 + -21*(-11)\/616. What is the nearest to -1 in -5, -0.051, j?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*(sqrt(300) + (sqrt(300) - (sqrt(300) + -1 + sqrt(300))**2)) - (3 + ((sqrt(6)\/(sqrt(2)*1))**2 + sqrt(3) - (1 + sqrt(3) + 0))))*-2.\nAnswer: -14402 + 720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (3 - 14) - -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 30095910*r - 30095910*r + 3226*r**3 to the form m*r + l*r**3 + u + p*r**2 and give l.\nAnswer: 3226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d + 13*d - 16335*d**2 - 6*d.\nAnswer: -16335*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 - -77. Let w = 4\/9 - 10\/9. Which is smaller: z or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from eou?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 8*p = -78. Let y be (2 + (-54419)\/(-2))*p\/192. Let v = y - 3685. What is the common denominator of -79\/4 and v?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 36 = 7*h - 6*h, 4*h - 40 = -3*g. Let q be (88\/(-396))\/(g\/(-42)). Factor l - 1\/6*l**2 + q.\nAnswer: -(l - 7)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 64 (b) -0.03 (c) 1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 399647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:45 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25267919 and 251?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -4.4. Let i = s - 4.6. Let x = i - 1.8. What is the biggest value in x, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000126999 rounded to six decimal places?\nAnswer: 0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38708 is divided by 38498.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffiw. What is prob of sequence ff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 515901817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 88, 2\/3, -4, -0.2, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5717*r = 5753*r + 756 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 807 - 907. Which is greater: z or -103?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14973966 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 9 + 5*o**3 - 25*o + 2*o**2 + 9*o**2 - 2*o**2 + 32*o. Let l(r) = -r**3 - 2*r**2 - 2*r - 2. Calculate -2*g(j) - 9*l(j).\nAnswer: -j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 - 132*t + 133. Let w be l(32). What is the nearest to w in 2\/7, 1\/8, -0.9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10337068?\nAnswer: 2, 7, 369181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 132323 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134579 is divided by 147.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4454, 35960, 121598, 288452, 563606?\nAnswer: 974144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s - 7. Let l be h(-5). Suppose l = 3*y + 2. Let q(r) = 3 + 3*r - 3*r - r**y - r. Calculate q(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 389351.3651376 - 389351. Let w = t - 0.1751449. Let d = w - 0.19. What is d rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1443*h**2 + 6*h - 1. Let v(o) = -1444*o**2 - 5*o + 1. Let f(x) = -6*r(x) - 7*v(x). Let q be f(-1). What is q rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*y - 233, 16*y - 19*y + 5*d = -268. Solve -39*z - y = -12*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -1 (c) 5 (d) -668 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, -14\/9, -3\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-368220)\/15162)\/((-30)\/(-84)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 379, 564, 749, 934?\n\"Answer: 185*k + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k + 7*k**2 - 12 - 4*k - 4*k**2 = 0. What is k?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 6. Let u = -212\/185 - -35\/37. Which is the second smallest value? (a) 1\/6 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 2)\/((-5)\/(-5)). Suppose 45 = 4*w - t, -1 - 16 = -2*w - 5*t. Suppose 3*p - 5*k - 5 = w, 4*p = 4*k + 16. Solve -p*c - 2 = -m*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/78588 and -53\/1135160.\nAnswer: 10216440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from {k: 4, e: 2, g: 11, z: 1, h: 1}?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 10*h + 7*h + 2, 3*h = -c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1920 and 4245?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -95*s - 523. Determine g(-10).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38104714 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121222 (base 3) in base 2?\nAnswer: 11101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -2. Let f = -5 + 5.4. Let n be 0 + 1 - (-6)\/(-2). What is the closest to v in n, f, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.05 - -0.11. Let w = y - 0.46. Is w smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 24*u**2 - 1238*u - 327. What is d(-25)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -71576?\nAnswer: 53\/71576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1196 or -1198?\nAnswer: -1198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*g + 5*z - 842, 0 = -2*g - z + 834. Let y be (-2440)\/9 + 22\/198. Let v = g + y. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4 = 4*r - 17, -5*t = r - 9. Suppose -6*j = -3*j - 60. What is the greatest common divisor of j and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(15\/10)*(-29 + (-13)\/((-9620)\/21420))?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808993 is divided by 989.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*q = 11*s + 84*q - 24, 2*s - 5*q = 21. Solve -6*z + 0 + 1\/3*z**4 + 4\/3*z**s - z**2 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1137923.143 to the nearest 100.\nAnswer: 1137900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/9270 and 91\/10.\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-103 + 107 - (-1 + 2 + -1)) + 8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 39 = 9. Let g(s) = 14*s + 3. Is g(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/3 + 584*p**3\/3 - 28808*p**2 + 338720*p\/3 - 336400\/3 = 0. Calculate p.\nAnswer: 2, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + w**2 - 2*w - 2. Determine y(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -597058072*l*w + 558166600*l with respect to w.\nAnswer: -597058072*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or -17?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p + 994. Let k be m(-107). Let r = 18 - 28. Let c = r + k. What is the highest common divisor of 84 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b - 22. Let z(q) = 6*q**2 - 438. Calculate z(n(c)).\nAnswer: 24*c**2 + 528*c + 2466","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 + 79. Let h(i) = -i**3 + 212. Let o be h(0). Let y = o + k. What are the prime factors of y?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-24))\/(2\/(-4)). Which is the third smallest value? (a) 5\/2 (b) -0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21855, -5, -1 in ascending order.\nAnswer: -21855, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 18 = -2*h - 4*i, -3*h + 2*i - 14 = 0. Let t be -1 - (-8 - (h + -2)). Let u be 2\/t*99\/22. Solve -d - 8 = u*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/1807 in 2, 7, 0, -6\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/28899 and -23\/4695717?\nAnswer: 183132963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-21))\/(71\/(-497)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-4)\/(-16))\/(4\/6)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 2*k**2 + 5*k + 4. Let q be (-4 + 63 + 8)*-7. Let x = q - -466. Calculate m(x).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36896948 and 891?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 912358?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.723752 months in years?\nAnswer: 0.643646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, f: 1, i: 2, q: 1, w: 2, k: 1}. What is prob of picking 1 k and 3 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agaa when four letters picked without replacement from {a: 7, g: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 6593?\nAnswer: 46151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 692.0866 millennia in months?\nAnswer: 8305039.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -13\/17 (b) 0 (c) 3 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.237 in -0.3, 0, -4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x**2 + x + 3. Let t(s) = 6*s**2 + 2*s + 4. What is the remainder when t(3) is divided by u(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/141 and -29\/81705?\nAnswer: 3840135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/21*(30 + -23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7592616 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178, 200, 224, 250, 278, 308, 340?\nAnswer: 374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + m**4 - 2*m**4 - m**5 + (2*m**2 - 6 + 6)*(-2*m**3 + m**3 - m**3) - m**5 + m**5 - 3*m**5.\nAnswer: -10*m**5 - m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5527 in 0.5, 5, 14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 1)*12 + -2. Let i = q - -43. What is the greatest common divisor of i and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6930997.7503 and -4.\nAnswer: 6930993.7503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1275003094?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**7\/189 - 7*f**6\/135 - f**5\/6 - f**4\/6 - 13*f. What is i in k(i) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((-2)\/36)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 427 and 7049.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -24*v + 1046. Calculate d(46).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 660 and 17292.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.241 - -0.344. Let f = -0.1030202 + g. Round f to six dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 452175142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*d + 108, 29 = -d + 14450*q - 14447*q for d.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((z*z\/z**(2\/3)*z)\/z)\/z)\/z*z)\/z)\/(z*z*z**0*z)*(z*z**1)**38)\/((z**(-1\/3))**(-1\/15)*(z\/(z\/z**(-1\/2))*z)\/z**(1\/4)) assuming z is positive.\nAnswer: z**(12971\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 3*z**2 - 3*z**2)*(2 + z**3 - 2) - 20*z**5 - 13*z**5 + 98*z**5 + (5*z**2 + 3*z**2 - 5*z**2)*(-2 + 2 - 2*z**3).\nAnswer: 58*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-3 + 1*-10). Is r smaller than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*i**6*w**3 - 1625*i**3*w**3 + 5*i**2*w**2 + 563*i**2 - 2*i*w**3 + 2 wrt i.\nAnswer: 2640*i**3*w**3 - 9750*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 + 79. Suppose g*q - 10*q + 679 = 0. Let f = q - 23. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(14) + 6*sqrt(84)\/sqrt(6))*1)\/(1*sqrt(343)*-1).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -42587.4329 to zero dps.\nAnswer: -42587","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8410268?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/66 and 9\/358.\nAnswer: 11814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*d)*(-5*d**2 + 9 - 18 + 3*d**2 + (-2 + 1 - 1)*(16 + 7*d**2 - 16)).\nAnswer: 32*d**3 + 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*u + 13*u + 7 + 8 wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 4*j - 2395. Give c(-47).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s + 12 = 43*s. Suppose 9*v - s = -30. Let a(y) = -5*y**2 + 2*y - 5. Let l(u) = 14*u**2 - 5*u + 14. Let j(t) = 11*a(t) + 4*l(t). Give j(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 0 - 0) + 8572. Suppose 5690 = -m - l. Let o = 6765 + m. Round o to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-9 - -8 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:59 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1835 + 27526\/15. What is the nearest to x in -4, 0, -1\/4, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 20811938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284 greater than 1286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 4*c = -7*c - 32, 5*c = -5*y - 40 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17 + (0 + 3)\/3. Let t = 177 - 33. What is the greatest common factor of t and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 + -702\/11. Let t = -17\/8 - -7\/8. Suppose -2*x - 14 = -5*x + p, -4*x + 3*p + 17 = 0. Sort x, t, o in ascending order.\nAnswer: t, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 177 + 42 = 0. Suppose -104*m + 99*m = -r. Solve -m*d + 0*d = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -0.4722 (c) 0.1 (d) -0.2 (e) -0.02 (f) 3 (g) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1109 divide 2118978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.97502 * -0.5\nAnswer: -0.48751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -5*(3 + sqrt(176)) - (sqrt(176) - (-5 + (2*sqrt(176) - sqrt(176)) - sqrt(176)))) + sqrt(176) + 1 + -2 + -1*sqrt(176) + 2 + -3)**2.\nAnswer: 880*sqrt(11) + 4884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmwkjmmwmtwwwwjmmww. What is prob of sequence mm?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 9. Find the third derivative of -4*p**2 - 2*p**2 + f*p**5 + 2*p**2 + 11*p**2 wrt p.\nAnswer: 300*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 - 76288*y**2\/5 + 915348*y\/5 - 2745936\/5.\nAnswer: (y - 76276)*(y - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62 - -65. Suppose 5*a = -5*b + 3130, -2*b + d*a = -380 - 847. Suppose -121 = 5*j - b. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*m - 2*m**4 + 12*m + 14*m + 3*m**3 + 5*m**2 + 2 to the form h*m**4 + z*m**3 + o + v*m**2 + k*m and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -21. Does -20 = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 450*l - 39596. Calculate p(88).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 338458 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/9 + 584*t\/9 + 1320 = 0. What is t?\nAnswer: -270, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m. Let n(h) be the first derivative of m*h**2 - 1 + h + 1\/3*h**3. Differentiate n(w) with respect to w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 2:35 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 223460 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {z: 2, j: 7, e: 4, k: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*j - 462 = -2*i, 3*i - 254 = -4*j. Solve i = 17*k + 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485204 is divided by 495058.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 7*v**2 + 3*v - 13. What is i(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6.5. Let r be ((-18)\/(-28))\/((-9)\/(-12)). Let z = r + -4\/21. Put -4, t, z in ascending order.\nAnswer: -4, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -192 + 197. Let y be ((-3)\/(-18))\/(2\/(-8)). What is the third biggest value in y, -3, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-13 + (-1 - -23)) - -12\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 153 - 7?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a**2 - 11*a + a**3 + 2*a**2 + 6 + 25*a + 0. Let v be u(-7). Solve 0 = -0*p - v*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -5*v + 4*v + 5, 2*d + 3*v = 15. Solve d - 5 = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 24?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-12)*(-10)\/(-955). Is z bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*3 + 0. Let g(a) = -a**2 + 4*a + 4. Let u be g(4). What is the third derivative of c**r - 3*c + 3*c + 2*c**u wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31484090 divided by 31484090\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.298, 2\/21, 0.32, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -870.0000068 + 870. What is q rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -58\/1267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.069 - -135325356\nAnswer: 135325355.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**2\/7 + 41903*t\/7 - 460812\/7 = 0.\nAnswer: 11, 41892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29229001 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 814401611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 16*u**2 - 12*u + 7. Give c(-15).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1858482 divided by 463.\nAnswer: 4014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*p*s*z**3 - 8*p*s*z**2 + 2*p*s - p*z**5 + 16*s*z**4 + 10*z**2 wrt z.\nAnswer: -102*p*s - 60*p*z**2 + 384*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29431 to 3 dps.\nAnswer: -0.294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -1671689.8.\nAnswer: -11701828.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 34. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**4\/4 - k**3 + k**2 - 3*k + 12. Let i be t(-4). Let p(o) = -3*o**2. Let x(f) = -6*f**2. Calculate i*x(y) - 9*p(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -4 (c) 1\/3 (d) 17\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -1. Let a = l - 5.1. Let h = -0.9 + a. What is the second smallest value in h, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) 267 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1733 - 4?\nAnswer: -1737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409576.\nAnswer: 2, 51197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*l**2 + 19*l**2 - 82 + 82 as y*l**2 + t + u*l and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 345 - 83. Calculate the remainder when b is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 31230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*z + 166*z + 45*z = 281 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = 2*w - 2*g + 16, -4*g + 4 = -4*w. Let z = 118 + -182. Let t = z - -62. Which is the nearest to -1? (a) t (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h, 10*h - 5*h = i - 5. Suppose f = -0*f - i. Let c = f + 54. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36816\/312)\/((-6)\/(3\/1))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 0*p**4 + 0*p**2 - 6*p**3 + 0*p**5 - 47\/6*p**6 + 57 + 0*p. Find the third derivative of k(d) wrt d.\nAnswer: -2820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*r = -10, 32*r + 18 = 3*j + 20*r for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147399848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000101 + 1100001000?\nAnswer: 110000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (3 + (-94)\/18)) + 0\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 39*a + 555. Let d(l) = -21*l - 277. Give -11*d(s) - 6*u(s).\nAnswer: -3*s - 283","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**3\/6 + v**2\/2 + 4*v. Determine g(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**5\/240 + 3*m**4\/4 + 54*m**3 - 108*m**2. Factor x(p).\nAnswer: (p + 36)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.072.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**5\/4 - 219*r**4 + 16353*r**3\/4 + 540735*r**2\/2 + 779223*r + 513162 = 0.\nAnswer: -306, -26, -2, -1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23478 and 1365?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -12*s + 98. Let h be i(8). Sort -5, h, 0, -12 in ascending order.\nAnswer: -12, -5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 64*a + 53. Let j(g) = -16*g - 13. Let p(x) = -9*j(x) - 2*q(x). Let l(s) = 3*s + 2. Calculate -11*l(w) + 2*p(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**2*k*(k\/(k*k*(k**(2\/7)\/k)\/k*k))\/k*(k**7*k*k)\/k**(-5)*(k**(-2\/7))**(-46)\/((k\/(k\/(k\/k**(-1\/2))))\/k**(-4\/11)) assuming k is positive.\nAnswer: k**(4311\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 - 86. Let v(o) = -o**2. Calculate j(v(u)).\nAnswer: -3*u**4 - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 + -76. Let p be 1*(0 + -2)*m\/12. Let z(o) = -11*o - 12. List the prime factors of z(p).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -777 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*r - 3*c + 6, 5*r = 3*c - 11. Let i be (-3)\/((-246)\/80 + r - -4). Suppose -794 = -i*z + 38*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/2))**42)**(-35\/3) assuming v is positive.\nAnswer: v**(-245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -15. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14181 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -135948*p*y**3 + 51*p*y - 30149*p + 9*y**3 + 2*y**2 wrt y?\nAnswer: -815688*p*y + 54*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 26, 5\/4, -35, 2, -2\/7, -2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 15206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-12*5\/(-80))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/((b**(-16)*b)\/b)*b*b*b*(b\/(b**(2\/111)*b))\/b*b)**(-11\/4))**(-42) assuming b is positive.\nAnswer: b**(93940\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m + 8*m - 11*m**4 - 20*m + 9*m wrt m.\nAnswer: -132*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 12, 4*m - 481 - 251 = v. Is 26 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9188608 - -0.9.\nAnswer: -9188607.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4 + 83115664*d**3 - 431763267019384*d**2 - 863526783385776*d - 431763433250724 = 0. What is d?\nAnswer: -1, 10389459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22197409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 30*s**2 + 43*s + 830. Let z(k) = 11*k**2 + 15*k + 277. Let d(x) = 6*i(x) - 17*z(x). What is the remainder when d(0) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2455500 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-8)*y**(-2\/29)\/y)\/(y**2*y)**24)**(-4\/21) assuming y is positive.\nAnswer: y**(9404\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2922 is divided by 1524.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 5*p**4\/12 - 5*p**3\/3 - 3*p**2 + 7*p. Let k(o) = -o**2. Let x(d) = 4*k(d) + l(d). Determine x(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -5\/2*s**2 - 1\/3*s**3 + 0 + 15*s. Give j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 17937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10968 divide 608482752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*o + 175. Suppose 6*q - o = 847. Does 50 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 327*n + 8. Let i be h(2). Suppose x + i = 663. Solve 5*u + d = 5, u + d - x = -d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**3\/2 + p**2\/2 - 13*p - 12. Let j(f) be the first derivative of u(f). Suppose -2 = 5*c + 3. Determine j(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 32*v + 31. Let f be i(18). Which is greater: f or 606?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.08\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-214)\/55*(135\/24 + -5) and 87\/10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3022113111 (base 4) to base 15\nAnswer: 1158e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6070693?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5331.248 millilitres to litres.\nAnswer: 5.331248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0196 and 4939.\nAnswer: -96.8044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -120*h + 4323. What is s(36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*n + 2*n. Suppose -5*w + 11 - 1 = -3*y, -4 = -n*w - 5*y. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -604.07 - -604. What is the biggest value in -8, a, -3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - d**2 - d - 14. Let x be r(0). Is -14 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80))**2 + 4 + sqrt(5) - (sqrt(60)\/(sqrt(12)*-3))**2.\nAnswer: sqrt(5) + 751\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 16*l**2 + 12*l + 35. Determine k(15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 6. Let z be g(-7). Suppose 2*t = -t + z. What is the remainder when t is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 j when three letters picked without replacement from bajaffjfaabx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8 - 2*k + k**3 + 6*k - 3*k + 0*k**3. Let r be i(0). Suppose c - 20 = -r. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 0, -41, 2630, 0.1, 10 in increasing order.\nAnswer: -41, -28, 0, 0.1, 10, 2630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -4088748?\nAnswer: -4088748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50979 is divided by 12732.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 70064065 to the power of 1\/2, to the nearest integer?\nAnswer: 8370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23390897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.7 and 12845.49.\nAnswer: 12846.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 681\/180*3 + -14 + 6\/15.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 3\/2 (c) 1 (d) -9 (e) 9 (f) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 1997100.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 1\/2*k**3 - 11 - 1\/8*k**2 + 0*k. Determine y so that x(y) = 0.\nAnswer: 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1700895 or -1700893?\nAnswer: -1700895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*c + 4*c - 22*c + 1242 = 0. Let n be (-2)\/(-3) - 49\/6. Which is greater: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*n**2*s - 1104851*g*n*s + 2*g*n + 12343*n**2*s - 99*n**2 wrt n?\nAnswer: -4*g*s + 24686*s - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15426, 15399, 15354, 15291?\nAnswer: 15210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 72, 47, 2, -69, -172?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57.68*6.\nAnswer: -346.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. What is the first derivative of 2 - 2*g + 2*g - v*g + g wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 - -129. Find the second derivative of -15*c**4 + 4*c**4 - 7*c**4 - u*c + 47*c wrt c.\nAnswer: -216*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 728, 1663, 2938, 4541, 6460, 8683, 11198?\nAnswer: 13993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 + 249*w - 58 + 12 + 19 to x + b*w and give b.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11467 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(20*v + 14*v - 63*v)*(2 + 0 + 0)*(5 - 1 - 2) to l*v + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -829135730 = -829135728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2)*z*z\/z**(3\/7))**(-26)\/((z**(2\/3)\/z)**(-3\/2))**(-15\/8) assuming z is positive.\nAnswer: z**(-1559\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, z: 2}. What is prob of picking 1 z and 1 k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9068219845 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 14*u**2 + 3*u - 15. Let m(j) = j + 6. Let f be m(8). Let k be x(f). What is the highest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 3 + 3. Let j(x) = -x. Suppose -2*t = 4 - 10. Let r(w) = t*j(w) - 2*d(w). Let m(h) = 2*h**2. Calculate m(r(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 4*h + 7. Let l be j(-5). Let n = l + -51. Is n a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p - 24*p - 23*p + 66*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33562?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/485 and -39\/269?\nAnswer: 130465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/10)\/h*h\/h**1)**(-19)*(h*h*(h\/((h\/(h**1\/h))\/h))\/h*h\/(h*h**(1\/2))*h)**(2\/23) assuming h is positive.\nAnswer: h**(4857\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -33*x + 4. Let i be t(-9). Suppose 3*p - i = -c + 30, -2*p = c - 219. Let u be -3 - (-410)\/p - 2\/7. Is u smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.69 and -29.8941.\nAnswer: -21.2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 25. Suppose -92 = 11*l - 15. What are the prime factors of p(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 51*i**2 - 62*i + 608. What is o(50)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 108 - 24 = 4*z, 4*n + 3*z = -49. What is the tens digit of (-9)\/(-12) + 2*(-506)\/n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -771, -1544, -2317?\n\"Answer: -773*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*u**5 - 21*u**4 - 4*u**2 + 15690*u.\nAnswer: 1320*u**2 - 504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -168441705.8 rounded to the nearest one million?\nAnswer: -168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -4725.\nAnswer: -4713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 10*w - 5*w - 5*w + 3*w - 6.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 9*o - 3393 = 0. Suppose 3*s + 609 = 5*r - 0*s, -3*r - 4*s = -o. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o**3 - 2*o**2 + 16*o - 2. Let s(h) = h**3 + h**2 - 7*h + 1. Calculate s(r) + t(r).\nAnswer: 12*r**3 - r**2 + 9*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**5 - 252800*h**4 - 3196150260*h**3 - 19167549070*h**2 + 3196150265*h + 19167801870 = 0 for h.\nAnswer: -25277, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*c - 10*c + 9*c)*(-2*c - 2 + 1 + 2)*((1 + 0 - 2)*(-1 + 2 + 0) - 1 - 2 + 4 - 2 + 4 + 0) in the form q*c + x*c**2 + y and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**2 - 4*u + 1. Let r(d) be the first derivative of 13\/2*d**2 + 16\/3*d**3 - 4*d - 20. Determine -7*j(v) - 2*r(v).\nAnswer: 3*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 1. Let j(i) = 345*i**2 + 2*i + 4. Calculate j(s) - 4*m(s).\nAnswer: 345*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -0.09 (c) -21 (d) -2\/7 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 2, -2 in descending order.\nAnswer: 2, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 2*y**2. Give r(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 - 1 - -6*(-1)\/2. Let j(p) be the third derivative of -1\/90*p**d - p**2 + 0*p**4 + 0 + 0*p + 0*p**3. Factor j(n).\nAnswer: -2*n**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4147603 divided by 757?\nAnswer: -5479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.559 - -0.36. Let d = k + 0.199. Let z = -71 - -37. Is d bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(539) - sqrt(539)*1) + -2 + (4 + sqrt(539) + 1)*5)**2.\nAnswer: 1680*sqrt(11) + 14051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 - 84*g + 5. Let x be m(28). Sort 2, x, 6 in decreasing order.\nAnswer: 6, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 2*j**2 + 82*j - 314. Calculate r(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + w)*(-1 + 0 + 4)*(2*w + 2 - 1 - 3 + (2 + 0 + 10)*(2 - 2*w - 2)) to t*w + a + d*w**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 229490 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, r: 2}. Give prob of sequence rr.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2025 - -63453. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276 divided by 10572.\nAnswer: -23\/881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -100, -333, -700, -1201, -1836?\n\"Answer: -67*s**2 - 32*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 68*v**2 + 1205*v - 1954. What is g(26)?\nAnswer: 984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.72 + -0.28. Let n = 7190.9 - 7191. What is the biggest value in j, 1\/2, n, -0.05?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*p + 9. Let z be (p + -2)*(-3 - -2). What is the highest common divisor of 8 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(19) + -4 + 3)*6.\nAnswer: -24*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 3*b - 89 = 0, f - 1033*b - 12 = -1038*b for f.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23 and 8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 2*h**2 + 2*h - 3. Let d(w) = -w**2 - 5*w - 4. Suppose 1 + 8 = -3*i. Let j be d(i). Calculate o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 5635*v**2 - 11290*v.\nAnswer: 5*v*(v - 2)*(v + 1129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(43\/258)\/((-6)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w. Let q(u) = 137*u. Let c(p) = 7*p - 74. Let d be c(10). Let n(l) = d*y(l) - q(l). Let x(s) = 2*s. Determine x(n(v)).\nAnswer: -290*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 15009*a**2 - 35292*a**2 - 11 - 2420*a**2 - 13.\nAnswer: -52721*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -572 in ascending order.\nAnswer: -572, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5*n - 23, 4*j + 8*n - 31 = 3*n. Solve 6 = 5*m - m - 2*i, -j*m - 5*i = -13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/210140 and -15\/28.\nAnswer: 210140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24185 = -2703*b - 2072 - 68567 + 11031 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, k: 6, h: 4, e: 3, n: 1, x: 1}. What is prob of picking 1 e and 1 n?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from {f: 1, r: 6, m: 4, w: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + 15*d - 21. Let b be n(9). Let t = 62 + b. Calculate the greatest common divisor of t and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 6 + -6 - (-9 - -3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x + 3 = 25. Let u(z) = z**2 + z + 1. Suppose -2*n - 3*l + 5 = -0*n, 4 = -4*l. Let y(r) = -5*r**2 - 5*r - 5. What is n*u(d) + x*y(d)?\nAnswer: -d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -b - 3*b - 518, 3*z + b - 1567 = 0. Suppose 0 = -0*x + 3*x - z. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/30 + 3*u**2. Let a(i) be the second derivative of i**3\/2 - 2*i. What is a(n(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c + 2*c - 27*c + 5*c + 6*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, b: 1, p: 3, u: 2, g: 3, v: 2}. What is prob of picking 1 b, 1 g, 1 p, and 1 u?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.349 + -0.349. Which is the closest to -5? (a) -1\/4 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -112944, -112234, -111526, -110820, -110116, -109414?\n\"Answer: -w**2 + 713*w - 113656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38 and -12099124.49.\nAnswer: -12099086.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 2 - 18*s**4 + 3 - 3 + 87*s - 89*s - s**2 in the form r*s**2 + h*s + z + y*s**3 + f*s**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*x + z, -6*x + 3*z + 18 = -3*x. Is (-2)\/8 + 653\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145 (base 6) to base 14\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15096\/180*813\/6128. Let m = -3\/1915 + o. Find the common denominator of -109\/6 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54.6 + -53. Let o = 1.5 - f. Suppose -436 = 42*y - 100. Which is the nearest to o? (a) 2 (b) y (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243340\/3 - 695\/6*n**3 - 5405*n**2 - 5\/6*n**4 - 259210\/3*n = 0. What is n?\nAnswer: -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 - 13*r + 1. Let w be u(6). Which is the closest to 0.2? (a) w (b) 2\/5 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 233 = 3*r - 238, -5*p = 2*r + 25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2574 in 6\/169, 1\/3, 27?\nAnswer: 6\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 383 + 3397. Let t = 83167\/44 + z. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 + 9. Let m = 12 + f. Let h = m + 48. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23 and 72?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-262)\/16 - ((-24)\/(-64))\/(-1). Let c = 10 + -15. Sort c, j, -2.\nAnswer: j, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -731 + 730.5. Which is the third smallest value? (a) 1 (b) t (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 1311188\nAnswer: -3\/655594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419381251?\nAnswer: 41, 1913, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70 - -62) + (0 - 7) + 6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 3:18 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + 0.1. Let q = 0.24 - -4.76. Which is the nearest to p? (a) 0.3 (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547468.\nAnswer: 2, 17, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57 - -56.5. Let r = 383 - 1531\/4. Which is the nearest to r? (a) -1 (b) -19 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - 2451*j**2 - 2 - j**4 - 2464*j**2 + 3*j**3 + 4932*j**2 - j**4 as p*j**2 + b*j**3 + i*j**4 + q*j + d and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 3*q - 1. Let t be i(3). Let c be t\/55 + (-9000)\/(-11). Suppose -209 = 3*y - c. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1157430277024857448 - 1157430265552397826.99999774. Let f = -11472459868 + c. Let g = f - -247. Round g to 7 decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1794 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45 + -53?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 15) to base 6.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 706 - 698. What is the thousands digit of 6695\/(-3 + x) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31 + 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 - -123. Which is smaller: -0.14 or g?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/(90630\/756)*(-280)\/12 - 10?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 5*s + 0*s)*((-4*s**2 + 4*s**2 + 2*s**2)*(s - s - s) + s**3 - 2*s + 2*s + 4*s**3 + 0*s**3 - 5*s**3).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-2\/19))**(-28))**(-17\/4))**(4\/11) assuming i is positive.\nAnswer: i**(9996\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, f: 2, h: 3, u: 4, a: 2}. What is prob of picking 2 f?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2641 + 9. Let d = y + 1096. Suppose -d = -4*r + 2*p, 0 = -r - 0*p + 2*p + 929. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100 - 100011010011010110000?\nAnswer: -100011010011010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -237*p**4 - 1871*p**3 + 37495*p**2 + 10*p wrt p.\nAnswer: -5688*p - 11226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 = 3*d - 117. Let b = -27 - d. What is the remainder when 27 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:14 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4680 and 1560?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -0*o + 2*o, -3*o + 10 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - j**3 - 3*j**2 + 0*j**2 + 4*j. Let d(w) = 3*w + 6*w**3 - 7*w**3 - 10*w**2 - 11*w + 4. Let b be d(-9). Calculate f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/1391 and -82\/2247.\nAnswer: 29211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 8:03 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*t - 36358 = -226*t. Are -5194 and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((-3)\/(-18))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2544869 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -18*a - 749. Give m(-83).\nAnswer: 745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 4:36 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c - 5. Suppose 0 = -2*r + 9 - 97. Let t = r - -39. Let z(p) = -p + 1. Let o(d) = t*z(d) - b(d). Give o(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 - 16 + 5*l - 9*l.\nAnswer: -4*l + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.55519382 to 2 dps.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7 + -1)\/((-84)\/68880).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 31235, 31232, 31219, 31190, 31139?\n\"Answer: -r**3 + r**2 + r + 31234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.517 + 2.8921. What is c rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3132 in 1, 0.5, 0.1, -1\/7, -0.034?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 482351 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2190*d**3 - 323*d + 2?\nAnswer: -13140*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Let o(h) = -8*h + h - i*h + 2*h - h**2. Suppose 116 = 3*f - 31*f - f. Give o(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37899.4 litres in millilitres?\nAnswer: 37899400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 514 is divided by 65.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5145653 (base 8) to base 15.\nAnswer: 1bdc24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1348 - 2a9?\nAnswer: 106c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4590*m**3 - 4246*m**2?\nAnswer: 27540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 1. Let r(p) = -p**3 - 3*p - 5. Let n(h) = -h**3 + 7*h**2 - 5*h - 5. Let u be n(6). Suppose 13 + u = 2*s. Let a = 4 - s. What is a*i(q) - r(q)?\nAnswer: q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (10 + -4)) + (-11 - -5) + (-76 - -83)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(7) + sqrt(343) - sqrt(7)))\/(3*sqrt(54)\/sqrt(6) - sqrt(9))*6.\nAnswer: 3*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 m when three letters picked without replacement from jnrmmjb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**4\/8 + 4*n**2. Let l(u) = -u**3 - 5*u. Give -5*h(f) + 3*l(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1409373 - 2167*m - 1409373 to the form u + c*m and give c.\nAnswer: -2167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 - 263.\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 3. Suppose 3*g = -2*g + 15. Let u be (-20)\/(-6) - 1\/g. Give r(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 931*v**2 - v. Let w(q) = -1610*q. What is x(w(c))?\nAnswer: 2413245100*c**2 + 1610*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.38 - -12.02. Let q = -102.6 - c. Let r = 115.000119 + q. What is r rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2306454?\nAnswer: 2, 3, 53, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/11 (b) -0.1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -11. Solve d = j - 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 5:50 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + 15. Suppose 44 = 3*a - 10. Calculate the remainder when i is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 82 + 18 = 0. Let l(t) = -t**2 + 13*t + 9. Give l(p).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93472560 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -10 (b) 0.03 (c) -77097\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 28.8?\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 4. Let q(u) = 9*u - 24. Let i be q(3). Let b be m(i). Let j be (-1)\/(2*(-2)\/(-20)). Put b, -2, j in increasing order.\nAnswer: j, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 72*v + 89. Is p(-45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 + -117. Let i = -3 - o. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/(26\/(-1144)). Suppose -27*r + v*r = 0. Which is the closest to 2\/3? (a) r (b) 0.4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z - 41. Determine h(5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 9:41 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*k = -46, 28*k - 27*k = 5*x + 37. Suppose -48 = z - 4*z. Sort x, -3, -5, z in descending order.\nAnswer: z, -3, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 2*t - 3*t)*(-3 - 2 + 4) + 3*t - 5*t - t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7629 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136365 and 270.\nAnswer: 2454570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 7, -0.6, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 d when three letters picked without replacement from {y: 1, v: 3, x: 2, f: 5, r: 4, d: 5}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/1 - -135)*(-1824)\/(-684). Calculate the highest common divisor of c and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -769*r + 771*r + 12 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.481093 kilograms in grams?\nAnswer: 6481.093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -257 - -147. Let r = -110.5 - w. What is the biggest value in 0.2, 0.1, r, -4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/11, 0, 112859 in descending order.\nAnswer: 112859, 12\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 4. Solve -7*p - 8 = -4*y - 3*p, y = q*p + 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -p + 23. Let o = 24 - p. Let g = -27 - -29. Solve -b - g*a = 10, -o*b + 10*a = 5*a + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 686 + -206. Suppose -10152 = -7*v + 43*v. Let k = v + q. What is the greatest common factor of 22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 870 by 104781.\nAnswer: 290\/34927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 314 - 166 = 0. List the prime factors of (-9348)\/(-32) + (-6)\/v.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 3) + 168\/14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 235 - -1\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1292384.\nAnswer: 2, 40387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*j + 880, -4*j - 490 + 138 = -2*i. Calculate the highest common factor of i and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 36 = -5*w - 43, 2*w = i - 16 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3.4328, -2\/73, 2\/13?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 16 - 59*l**2 - 24 + 1368*l.\nAnswer: -59*l**2 + 1368*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millisecond in microseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 76*r - 289. Determine q(-72).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + -5 + 1 + -1. Let a = 2 - -12. Let s = u + a. Solve 2*c - 4 = -2*h, -2 = -c + s*c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 49*c - 100*c + 53*c + 3*c**2 + 6*c**2 - 3*c**2. Let k(j) = j + j - j + j**2. Give -2*k(q) + v(q).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 186703613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 662\/499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/4)\/(l*(l\/l**(1\/6))\/l*l)*l**(1\/6)\/l*l**(-3\/7)*l assuming l is positive.\nAnswer: l**(-113\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1800 = -4*d, -5*o + 667 = 2*d - 254. Let f = -431 + d. What is the greatest common divisor of f and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**3\/3 + 9*b**2\/2 - 8*b. Calculate the remainder when 3 + 1*(1 - 3) is divided by a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70472, 279074, 626744, 1113482, 1739288?\nAnswer: 2504162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)\/c*c*c**(-2\/23)*c*c*c*(c*c**(-7))\/c*c*c**3*(c**(2\/5))**(-27)*((c\/c**1*c)\/c)**23 assuming c is positive.\nAnswer: c**(-1367\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 226152659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -99. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25896*c**4 - 2*c**3 - 80715*c**2 wrt c.\nAnswer: -621504*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(22\/3)\/b*b)\/b**(4\/25))**(-50) assuming b is positive.\nAnswer: b**(-1076\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*k - 123. Let t(r) = -k*r**2 + 4*r**2 + 12*r**2 + 2*r**2. Let i(c) = -10*c. Determine i(t(b)).\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0 - 2*z**2 - 1\/24*z**4 + 0*z**3 + 0*z. Let q(o) be the third derivative of o**4\/24 + o**2. What is d(q(h))?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 533 + -525. Calculate the remainder when (4\/j)\/((-1)\/(-44)) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + u. Let n(o) = -2*o - 10*o**3 + 9*o**3 + 5*o**2 - 3*o - 12 + 36. Let q(l) = -5*k(l) - n(l). What is the derivative of q(z) wrt z?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**8\/960 + z**6\/120 + 5*z**4\/24 + z**2. Let u(h) be the second derivative of n(h). Find the second derivative of u(r) wrt r.\nAnswer: 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4 + (-3 + 2 + 0)*(3 - 2 - 2) + 6 - 1 - 4)*(2107 - 2107 + 36*a**2)*(25 - 77*a**3 - 25).\nAnswer: -8316*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2514, -2487, -2436, -2349, -2214?\nAnswer: -2019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 572 is divided by 273.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpe when three letters picked without replacement from {p: 2, e: 2, f: 1, z: 1, o: 2, s: 5}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.344646 grams?\nAnswer: 9344646000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 276010 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13343.54 meters in millimeters?\nAnswer: 13343540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003661585 to 4 decimal places.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13\/4, 1\/18, 0, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z**2 - 399*z + 1811. Is d(-158) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 28, 5, -2210, -2, -40 in descending order.\nAnswer: 28, 5, -1, -2, -5, -40, -2210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 34837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6 - y - y**3 + 6*y**2 - 4*y + 2*y. Let f = 42521 - 42516. Give a(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9474623?\nAnswer: 31, 305633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 19, 17, 13, 7, -1?\n\"Answer: -r**2 + r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.44 + 1.693. Let r = -0.053 + m. Sort 0.19, r, 5, 3.\nAnswer: 0.19, r, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267, 258, 249?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 959886808 to the power of 1\/2, to the nearest integer?\nAnswer: 30982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 6 - 5 - 7)*(2121*q**2 - 2121*q**2 + 153*q**3).\nAnswer: -2907*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.1 (b) 51\/2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 + -29. Suppose -5*u + 7*u - 8 = 0. Suppose 17 + t = u*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 40*w - 36*w = -2532, 5*u - 6382 = -3*w. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffc when three letters picked without replacement from fafafffanfaffffffac?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three sevenths of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -83, -99, -121, -149, -183, -223?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13447*y**4 + 17*y**3 + 3896619*y**2 + 2*y wrt y?\nAnswer: -322728*y + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8282548 and 3806?\nAnswer: 91108028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**3 - m**2 + 7*m - 3. List the prime factors of f(7).\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t + t - t)*(0 + 0 - 2*t**2)*(0*t**2 - 2*t**2 + 7*t**2).\nAnswer: -50*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 63422?\nAnswer: -6341b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 23160 to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -272, -1194, -2794, -5120, -8220, -12142, -16934, -22644?\n\"Answer: -8*d**3 - 291*d**2 + 7*d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -24*v**2. Let k(l) = l + 22. Determine k(w(t)).\nAnswer: -24*t**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 4846056?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1824430 divided by -1824430?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 8. Let c = -28 - -30. Suppose 0 = c*y + 2*y + 2*y. Solve -q + y = r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16888 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 329861817 + -21.16?\nAnswer: 329861795.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1 + 7*y - y + 1 - 8*y. Let q(d) = -11*d. Calculate q(k(b)).\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*s**2 - 35*s**2 - 43*s**2 + 0 + s**2 + 0 + (0*s - 2*s + 0*s)*(-s + 3*s - 3*s) + 2*s**2 + 2*s - 2*s.\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6 - (-76041)\/(-13419).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*y + 784 + 686 = 96*y for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - w - 134 = 0, -3*w - 21 = z - 159. Let q be (-141)\/(-9) - (-6)\/(-9). Calculate the highest common factor of z and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/(3\/(-72)). Let m = 1175 + -1169. Calculate the greatest common factor of m and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**5\/7 + 46*v**4 + 596*v**3\/7 - 6312*v**2\/7 + 7632*v\/7 = 0.\nAnswer: -159, -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 5*m - 2. Let s be u(-3). Suppose 3*a = s*a - 153. What is the remainder when a is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2009.4ng in grams?\nAnswer: 0.0000020094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 179316433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**4\/4 - 2*w**3 - 2*w**2 + 15*w - 40. Let p be j(7). Suppose -p*t = -37*t + 280. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 + 4*k - 6. Let c(b) = -b**2 + 16*b - 15. Let z(m) = -7*m + 7. Let w(i) = 2*c(i) + 5*z(i). What is -3*j(x) - 4*w(x)?\nAnswer: -x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -176*q + 2. What is o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 4*i + 2. Determine r(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2784622609.\nAnswer: 281, 9909689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47 and 1479271.\nAnswer: 69525737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*c + 28, 0*j = c - 4*j - 14. Let s(u) = -4*u + 26. Let o be s(c). Solve -m + x + 0*x - o = 0, -4*m = 2*x + 26 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 82 + 53. What is the greatest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h + 113. Suppose -3*p - a - 2*a = 27, 4*p = 5*a - 36. What is the remainder when 197 is divided by b(p)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/14)\/((-1)\/7). Suppose -38 = s*v - 0*v. Let w = -13 - v. What is the least common multiple of w and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*f - 9, -12 = 4*q + 2*f + 2*f. Let r = 4 + 3. Suppose 0 = -2*l + 8, -u + 2*l - 7 = 6. What is the third smallest value in q, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 3*n - 6. Let a be x(-5). Suppose 4*m = 2*i + 6, 0*i = -a*m - 4*i + 12. Solve -m*d = 0, d = 4*l - 2*d - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d + 6, 297*d = 4*p + 293*d - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 251 = 5*x + c, -c = -3*x - 149. Let m = x - -68. What is the second derivative of -11*b**4 + m*b**3 + 20*b**3 - 37*b**3 - 20*b wrt b?\nAnswer: -132*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14852 is divided by 185?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -3, -5, -81546, 5, -2 in increasing order.\nAnswer: -81546, -5, -4, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 7*d**6\/120 - d**5\/10 - 5*d**4\/24 + 5*d**3\/6 + 677*d**2. Let i(l) = 6*l**3 - 7*l**2 - 4*l + 4. Calculate 4*a(v) - 5*i(v).\nAnswer: -2*v**3 + 11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5962, 4, -1, 12 in descending order.\nAnswer: 12, 4, -1, -5962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 564115\/79938 + -6\/4441. What is the common denominator of s and 33\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 60\/13, -28\/9, 12 in decreasing order.\nAnswer: 12, 60\/13, -28\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 6*a - 4. What is the remainder when d(-5) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -492837, -492792, -492759, -492744, -492753?\n\"Answer: -v**3 + 52*v - 492888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5338*z - 1191. Is n(40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 111. Suppose 31 = -o + 5*n - 5, -n - 165 = 4*o. Let k = 41 + o. What is the tens digit of y(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16099432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2 (c) 2\/7 (d) 2 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29470019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88 + -201758342.\nAnswer: -201758254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 179421889176 from 0.1.\nAnswer: -179421889175.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(-2)\/m)*m*m)**(-1\/20))**(-49) assuming m is positive.\nAnswer: m**(343\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 - 10*l - 7. Determine q(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/8 + -1)*-2. Let a be (-14)\/10 + 6\/15. Is g at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5 = -o - 9, -5*o = -4*r - 4. Suppose 110 = -o*n + 9*n. Suppose -2*i + 5*i = 36. What is the remainder when n is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 23. Solve -a = 0, 0*a = n*f + 4*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**3 + o**3 - 4*o**3)*(4 - 2 + 0) + 8 - 3*o**3 + 2*o**3 - 3 to a*o**3 + l*o + j*o**2 + q and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g + 5. Let k = g - 1. Solve 2*j**4 - 3*j**3 + 2*j**5 + k*j**3 - 2*j**2 + j**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1210 + 1210 - 18*h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 18*j**2 - 17*j + 2. Let s be p(-17). Let m be 1847\/s - ((-1)\/2)\/1. Let n be (-255)\/m - 2\/(-8). Sort n, -2\/11, 5 in ascending order.\nAnswer: -2\/11, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 1395*z + 48685. Give y(-38).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12917\/4428 + 1\/2214. Suppose 0*n + n - 22 = 0. Calculate the common denominator of o and (-1)\/(-2) - (-58)\/n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77055.\nAnswer: 3, 5, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (-364)\/14)\/63?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwx when three letters picked without replacement from xxxxxxxxxwwxwxxxxxwx.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 90 + (-4 + 10 - -16).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23468954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 11*i + 4. Let k = -7 + 18. Let s be z(k). What is the third derivative of 6*q**2 - 3*q**4 + 0*q**s + q**2 wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3154.52969 rounded to zero decimal places?\nAnswer: -3155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - 1. Let t be (-4)\/(-6) - 260\/f. Let g be t\/(-16) - (4\/(-4) + -1). Which is greater: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 237457163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 974.\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 + 77. Let a = w + 37. Find the third derivative of -2*o**2 - a + 6 + o**2 + 5*o**3 wrt o.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16006 - -26682. Suppose v = 2*p - 86. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2871, 2835, 2795, 2751?\n\"Answer: -2*a**2 - 30*a + 2903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62382945, 124765893, 187148841?\nAnswer: 249531789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 143\/6 + ((-44)\/24 - -2). Differentiate -2*k - 420*k**4 + 423*k**4 - j + 3*k wrt k.\nAnswer: 12*k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 x when three letters picked without replacement from yxyyxyxxyx?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3639288669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84.00001 + 84. What is v rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 6*b + 0*b**2 - 3*b**2 + 2*b**2 - 4. Let k be j(-7). Suppose k*x = -x. Solve x*g - 5 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7066963, -7066947, -7066919, -7066879, -7066827?\n\"Answer: 6*l**2 - 2*l - 7066967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 3 + -6112 + 6176.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (4 + 2 + -3)) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354*q**3 - 700*q**3 + 345*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1464*h**4*z - 4*h**3 + 388*h**2*z + 82*z wrt h?\nAnswer: -35136*h*z - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48368462?\nAnswer: 2, 29, 479, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -55b4da (base 15) in base 10?\nAnswer: -4088230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 22*w**6\/15 - 7*w**2\/2 - 24*w. Differentiate l(y) wrt y.\nAnswer: 176*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + v = 3, -3*v - 6 = -2*k - 0 + 1 - 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/((49\/(-28))\/7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - (1 - 9*2\/6). Suppose 3*p = 9, 8*p - 5*p + 6 = -k*i. Let m = 0.1 - -0.1. Which is the nearest to m? (a) -1 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(7) - (sqrt(7) - 3*sqrt(7) - sqrt(7))) - (sqrt(63) + 0)) + -3.\nAnswer: -23*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182 and 1483378.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 454 + -453.5. Which is the nearest to -0.13? (a) 1 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 969613*o**3 + 411331*o.\nAnswer: 5817678*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - c - 2220 = 0, 0 = 4*c - 3*c + 1. List the prime factors of d.\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -461 (base 12) to base 7.\nAnswer: -1615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 785588533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 210\/(-40) - (-19)\/(-36). Which is smaller: -1\/1384 or z?\nAnswer: -1\/1384","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 292469 or 3802078\/13?\nAnswer: 3802078\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 0*p**2 + 9*p**3 + (1 - 1 - 2*p**2)*(p - 2 + 2).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7))**(-8\/3)\/((m\/(m*m*m\/m**(-3\/7)))\/(m*m**(-1))) assuming m is positive.\nAnswer: m**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 264156 to the power of 1\/2, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.646266 - 7.646261. Let a = 8 + -2. Let h = z + a. What is h rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4216 is divided by 152?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5023*l - 6. Let r(x) = 1779*x. What is r(g(b))?\nAnswer: -8935917*b - 10674","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 30. Let l(m) = -m + 1 - 1 + q + 1. Let b(y) = -2*y + 6. Let s be (1 + 0)*(-15 + 11). What is s*l(z) + b(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(2\/5)*x*x)\/x)\/(x\/x**(-6)))**(6\/17) assuming x is positive.\nAnswer: x**(-108\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*w**3 + 1265478249*w**2 - 1265478249*w**2.\nAnswer: -65*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 90557906 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 4*o**2 - 4*o. Let q(x) = 6*x**3 + 21*x**2 - 21*x. Let z be (-5)\/(15\/6) + -2. Calculate z*q(j) + 21*d(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 1853 = 3*x + 75, 2*r + 2*x + 1924 = 0. Let z = -573 - r. List the prime factors of z.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*c - 12. Let v(h) = h**2 + 2*h - 5. Let l be v(c). Let p(a) be the first derivative of a**4\/4 - 2*a**3\/3 - 2*a**2 + 3*a + 1. What is p(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 2, -5, -13.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 545765?\nAnswer: -1637295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-15) + 0)\/((-6)\/30). Suppose -2*i + t*w = -2*w - 1, 0 = 3*w - 3. Solve 2*l = i*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from {w: 14, h: 5}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3670 + -5?\nAnswer: 3665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 9:41 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x**2 + 2*x - 2*x)*(-18*x - 39*x**2 + 18*x) in the form p*x**2 + j*x**4 + m*x + f + i*x**3 and give j.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 40 = -2*q. Let d(s) be the third derivative of s**5\/60 + s**4\/8 - 3*s**2. Let h be d(-4). Solve 0*i + q = -h*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 3*u + 12. Let l be i(5). Suppose 12 = -l*p + 14. What is the tens digit of 51*4\/6 + p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.0394.\nAnswer: 0.0394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 6. Let d = 2 + -1. Let r be -4 + (17 - 14) + 1 + 0. Put b, d, r in ascending order.\nAnswer: b, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73008688 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/6*(-12 + 0)*-1 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*r - 12 = -4*b - 123*r, 4*r = 3*b - 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**5\/13 - 16*t**4\/13 + 32*t**3\/13 - 4*t**2\/13 - 34*t\/13 + 20\/13 = 0?\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -508, -509, -510?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7216936 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14, -28, -52, -86, -130?\n\"Answer: -5*f**2 + f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.97 + 0.87. What is the biggest value in -4, 0, g, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(-2)*2\/(-3). Let l(u) = -9*u + 2. Let x(b) = -4 - 5*b + 3 + 2. What is g*l(h) - 5*x(h)?\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-1*2) - (63 + -62). Let j be o\/12 + 406\/84. Solve -6 = 7*v - j*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f - 6 - 3*f + 8*f**2 + 3 + 0*f. Is p(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1401 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by (16 - (-290)\/(-20))*68\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -6*5\/(-10) + 8 and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7947 + 7946. Sort -2\/3, t, -3\/5, 22\/3 in increasing order.\nAnswer: t, -2\/3, -3\/5, 22\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u + 6*u + 0*u + (4 + 24 - 12)*(111 - 8*u - 111).\nAnswer: -127*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 14, 0.1, 91 in descending order.\nAnswer: 91, 14, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2387484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**3 - 6*g**2 - 2*g. Suppose -36 + 6 = -6*u. Suppose -u*d - 3*p + 2 = -0*p, -5*d + 6 = 4*p. Calculate the remainder when 107 is divided by f(d).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdvvtqqtdhdvyvdttddd. Give prob of sequence qt.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 224 - 483. Let p = 371 + r. Calculate the common denominator of (-892)\/p + 9\/12 and 119\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 - 18*l**2 - 6*l - 5. What is the remainder when c(-9) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11 - (0 + -3))\/1. Suppose r*w - 6 = 11*w. Suppose 2*t + w*h - 88 = 0, -t - 3*t + h + 161 = 0. What are the prime factors of t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*x**2 + 33*x**2 - 52*x**2 - 852*x.\nAnswer: 7*x**2 - 852*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346047 is divided by 20354.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p + 4. Let q be 0 + -1 + (-5)\/(-5). Suppose -5*c = -c - 20, -5*l - 2*c = q. Is p not equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vimnf. What is prob of picking 1 f and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -18. Suppose 6 = 6*y - 3*y. Is y at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**2 - 7*t - 7. Let i(v) be the first derivative of 0*v**2 + v - 1 + 1\/3*v**3. Let u(a) = 5*i(a) + n(a). What is u(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*p - 366 = 0, -3*t - 130 = -2*t + 3*p. Let x = t - -151. What is the remainder when x is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3300 (base 4) in base 2?\nAnswer: -11110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 0*q - 0*q - r + 5, -15*r - 35 = -22*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -9. Suppose a = -w - n + 3*n + 220, 0 = -4*w + 3*n + 855. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:22 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -669 by 1.\nAnswer: -669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**2 - 27*f + 23. Let u be s(4). Suppose -3 = -2*t - 5. Sort t, u, 82.\nAnswer: u, t, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/3, -3, 121?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/116 and -3\/2?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9165557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -13. Let l = 5.8 + n. Which is bigger: l or -1\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67126534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -150012, -150100, -150188, -150276?\n\"Answer: -88*i - 149924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*i**4 - 12*i**4 - i**4 + 3 + 14 wrt i?\nAnswer: -112*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wck when three letters picked without replacement from kpppwpzcccp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -2*h - 23296. Suppose -4*s + h = -4*r, -4*s + 875 = -r - 908. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26115250573 + 5?\nAnswer: 26115250600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 261.98249 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3260*n**3 + 1501*n - 1 wrt n.\nAnswer: -19560*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**6\/160 - 161*y**5\/80 + 205*y**4 - 800*y**3 - 187*y**2. Factor q(z).\nAnswer: 3*(z - 80)**2*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462958700 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 761 + 523 + 3*d + 535 - 1819.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -207*h**3 + 5*h**2 + 5*h + 217. Let k(j) = -103*j**3 + 2*j**2 + 2*j + 108. Let p(o) = 2*a(o) - 5*k(o). Find the first derivative of p(l) wrt l.\nAnswer: 303*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 + -53. What are the prime factors of -3*1*c*(-35)\/(-15)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = -8*y + 1465. Let h = y + -89. Suppose -j + 3*m = 3*j - h, 21 = j - 2*m. What is the lowest common multiple of j and 51?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Let k be ((-25)\/5 - -5)\/1. Sort k, 1, s in descending order.\nAnswer: s, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 120784715, 120784717, 120784719?\n\"Answer: 2*r + 120784713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -41480000 to the nearest one million.\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-440)*(-15)\/(-9)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlljjl. Give prob of picking 1 j and 1 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*d - 855 - 369 = -82*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w + 19. Let v(r) = 14*r + 76. Determine 9*j(z) - 2*v(z).\nAnswer: -z + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/30)\/(1\/(-30)). Let q be (5\/3)\/((-40)\/x). Solve q*z - 6*z = -4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41, 85, 91, 41, -83?\n\"Answer: -3*b**3 - b**2 + 68*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 4*h**2 - 9*h + 5. Is w(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 12 (c) -4 (d) 2\/7 (e) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50014, 49993, 49962, 49915, 49846, 49749, 49618, 49447?\nAnswer: 49230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/4 + (-189)\/(-6). What is the highest common factor of 75 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o + 3. Let m be -11 + (-5 + 4 - -6). Suppose -17 = 200*y - 183*y. Let j(z) = z. Calculate m*j(x) + y*w(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**2 + 3*z**3 + 11*z**2 + z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3794884 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**4 - 147*w**3 + 2448*w**2 - 14592*w + 12288 = 0?\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from qqqqnnyynn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3 - 3 - 4*a. Suppose -4 = -0*s - 2*s. Let q(l) = 0 - l**2 + s - 2. Determine h(q(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -122236073 rounded to the nearest one hundred thousand?\nAnswer: -122200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7056467 is divided by 558.\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.6 + 76.4. Let s = a + -100.1. Suppose 12 = -4*w + 44. What is the closest to s in 0.5, -3, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6870733.2 milliseconds to hours.\nAnswer: 1.908537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119570*a**2 + 8*a + 13762 wrt a?\nAnswer: -239140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.7 (b) 4 (c) -1 (d) 0 (e) -95 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -12*j. Let y(w) = -36*w + 1. Determine -7*r(x) + 2*y(x).\nAnswer: 12*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.22 - -0.22. Which is the closest to 0? (a) -0.5 (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -24*p**2 - 42*p - 18. Give y(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -280 - -283. What is the closest to -3 in p, -0.1, -0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - 114 = -58 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*z + 1970, l + 1958 = 4*l - z. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 15*z**2)*(3 - 7 - 1)*(-21*z + 7*z - 17*z).\nAnswer: -2325*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2 + 4. Suppose 0 = 4*a - a - 15. Suppose a*u + 16 = c*u. Solve -f + u = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + (sqrt(847) + -1)*6 + 4 + 1*sqrt(847) + -4))**2*6*4.\nAnswer: -266112*sqrt(7) + 35862048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273526?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 97, 205, 359, 565, 829, 1157?\nAnswer: 1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*t**2*w*y**2 - 5*t**2*y**2 + 2*t**2*y + 2*t*w*y**2 + 2*t - w*y + 45*y wrt y?\nAnswer: -40*t**2*w - 10*t**2 + 4*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Suppose -3*h - 2*h + 5 = 0. Find the second derivative of -3*p + h - 2 - p**z + 1 wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 26. Solve -3*v + 13 = -j, -3*j - q*v = v - 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*k**4 - 11*k**3 + 649?\nAnswer: 28*k**3 - 33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 744584 and 1713?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.001, 31, 0.5, -1\/2, 2.002 in descending order.\nAnswer: 31, 2.002, 0.5, 0.001, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 20, 11 = 4*m - 2*s + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**3\/6 - 21*m**2\/2 + 100*m + 54. Let z(n) be the first derivative of v(n). What is z(0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12. Solve -k - 3*g - 5 = f*g, -4*k = 2*g + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvllvlvvvvvllv. What is prob of sequence vvl?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -99*l**5\/4 - 739*l**4\/6 - 2272*l**2. What is the second derivative of h(n) wrt n?\nAnswer: -2970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 8*n**2 + 2*n - 8.\nAnswer: -2*(n - 4)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(396) + sqrt(11))*1 - sqrt(176)*-1).\nAnswer: -33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 870\/(-15)*1\/2*1. Let f = -21 - n. Let s(w) = -w**2 + 10*w - 16. Let o be s(f). Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 728 and 91?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 44, 68?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2121827\/532 or 3987?\nAnswer: 3987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 15. Suppose 0 = -179*u + 181*u - 6, -y = 2*u - 16. Suppose 26 = -3*i + 2*i + 5*w, 0 = -5*i - 3*w + 10. Sort y, i, l.\nAnswer: l, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + 0 - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**6)\/w**1)\/(w**6\/(w**(-3)\/w)) assuming w is positive.\nAnswer: w**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-42) - (-6)\/(-21). Suppose 7*o + 12 - 33 = i. Solve -w - o*w = -4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 9869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2900047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 19 = 4*y, 0 = 2*z - 94*y + 99*y - 1. Solve 32*r = z*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h + 2 = 0. Let v = 6 + -11. Let s be 27\/v - (-26)\/65. Put s, 5, h in ascending order.\nAnswer: s, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91\/8 - 107\/8. What is the common denominator of v and 53\/386?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**3 - 3*a + 4. Let f(k) = 5*k**3 + 5*k - 6. Let w(n) = n. Let j be w(5). Determine j*f(l) + 8*z(l).\nAnswer: l**3 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 2*(sqrt(396)*-2 + sqrt(396) + sqrt(396)) + -1)**2.\nAnswer: -12*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -151*p - 4. Is k(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2 + 18. Let r = 13 - 7. Let p(c) = 2*c**2 - c**2 - 2*c + r - 2*c - 2*c. Calculate p(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 8*i - i)*(2*i - 4*i + i)*(13*i - 10*i - 15*i)*(3 - 3 + 5).\nAnswer: 660*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 12\/19, -0.02, 4, -4, -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3382022*h**3 + 16534102*h + 1 wrt h?\nAnswer: 20292132*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 1) + -71 + 70?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.005, 92?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-2*1\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -1087*f - 1409. Is t(-58) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*h + 3*h**2 - 184*h + 94*h.\nAnswer: 3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8795 - 18*g**3 - 3*g**3 - 8795.\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 3*q**2 + 2*q + 2 - 11*q**2. Let i(m) = 1 + m + m**2 - 6*m**2 + 0. What is -8*i(s) + 3*x(s)?\nAnswer: -2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1204609936, -1204609932, -1204609926, -1204609918, -1204609908?\nAnswer: -1204609896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28575 and 3215259?\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -25135614?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/15)\/(2\/5). Suppose 0 = 2*d - 6, p - 6 = -0*p - l*d. Let t = 54 - 173\/3. Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2. Let k(f) be the first derivative of f**5\/60 - 107*f**4\/24 + 58*f**3\/3 + 44. Let g(w) be the third derivative of k(w). Give h(g(l)).\nAnswer: -8*l**2 + 856*l - 22898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**4\/36 - s**3\/2 - 10*s - 4. Solve c(v) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3037545 to the power of 1\/2, to the nearest integer?\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, m: 6, y: 2, s: 1, b: 2}. Give prob of sequence myy.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 7*f + 10. Calculate n(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*j + 74690*y - 74694*y, 0*y - 1 = -y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 208*r + 758*r - 2 - 275*r - 257*r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)*l*l*l)**15\/((l**(5\/2)\/l*l*l*l)\/(l\/l**0*l)))**34 assuming l is positive.\nAnswer: l**(-1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19780596 by 9.\nAnswer: 2197844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 6*l**2 - l + 11. Let w be d(6). Let p(b) = -b**2 + 7*b - 5. Let n be p(w). Suppose 1264 - 104 = n*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-16 - 27) - 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-51 + 2\/1). Let c = 82 - i. Suppose 0 = 6*o - o - c. 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 x(g) = 2*g + 2. Let b be x(4). Suppose -b = -f - f. Solve 4*s = -3 - f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 720.6624 hours to days.\nAnswer: 30.0276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/2 and 49\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1652 by 826.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-216)*(-138)\/(-2))\/(11*31\/(-1023))?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -594.611 rounded to the nearest integer?\nAnswer: -595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-128)\/(-228) - ((-170)\/(-190) - 1). Let k = 0.6 + -0.55. Let i = 2.95 + k. Which is the second biggest value? (a) i (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppxuhuhuhyou. What is prob of sequence hy?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28.23*-0.5\nAnswer: 14.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -86, -129, -172?\n\"Answer: -43*q - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3635 plus -225029?\nAnswer: -221394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118*h**3*v**5 - 2*h**3*v**2 - h**3*v - 5*h**2 + 5*h*v wrt v?\nAnswer: 2360*h**3*v**3 - 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -346*l**4 - 147 with respect to l.\nAnswer: -1384*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21625 + -34761. Let i = -5136 - k. Round i to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 84\/130 - 704\/(-4576). Factor 1\/5 - k**2 + r*k.\nAnswer: -(k - 1)*(5*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l**(-10)\/l)\/l*l))\/l**3)\/(l\/(l*l**(-1\/2)*l)*l**(8\/7)*l) assuming l is positive.\nAnswer: l**(117\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 248 and 89990086?\nAnswer: 359960344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 2\/5 (c) 1\/29491\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uouuuouuuooouuuuuuuu. What is prob of sequence uoo?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 7 - 47. Let s be w - (2\/2 + -5) - -7. Solve 0 = -s*o + 4*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 + 2321?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-77)\/(-42) - (-1)\/6. What is the second derivative of 10*h**5 + 4*h + 124*h**f - 124*h**2 wrt h?\nAnswer: 200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 2*v - 7. Let s(n) = -n**2 - 3*n - 10. Let o = 11 - 4. Let b = -5 + 0. Let u(h) = b*s(h) + o*j(h). Factor u(a).\nAnswer: -(a - 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 8*q**2 + 4*q + 7. What is s(7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + 2*-4*(sqrt(275) + -1*sqrt(275) + 2) + -2 + 3)**2.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 + -2.01. Let h be 4\/(48\/(-4)) - (210\/(-9))\/(-14). Which is the nearest to h? (a) 1 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 2*m**2 - 3*m. Determine n(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -16*j + 394. What is the tens digit of w(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535486362 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2, -4\/9, 3\/10?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.289148ng in tonnes?\nAnswer: 0.000000000000008289148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*12*11\/(-187)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -3. Let g = -58.7 + 72. Let y = -13 + g. Sort -3, y, m in ascending order.\nAnswer: -3, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.6 + -1.2. Which is the third biggest value? (a) 2\/15 (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/3*(-198)\/(-15). Let k = d + 86. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17409480 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -318*p - 664. What are the prime factors of i(-14)?\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*u + u - 2*u)*(0 + 5 - 2) + 0*u + 2*u + 0*u - u + 3 - 3)*(0 + 5 - 3)*(-1 + 1 - 1).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*a + 156, -6*a = 4*w - 4*a - 320. Does 38 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*p*t*x**4 - 2*p*t*x**2 + 55*p*t*x - 2*p*t - 1284*p wrt x?\nAnswer: 76*p*t*x**3 - 4*p*t*x + 55*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2729\/8205 + 2\/2735. Let h = 0.2 + 0.3. Which is the closest to t? (a) -1 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 461472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a38 - 13447?\nAnswer: -1260b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5\/4 + 6*f**4 - 41*f**3 + 60*f**2 = 0.\nAnswer: 0, 2, 10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*n - 88. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 4:36 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 19. Let q(b) = 46*b**2 - 2*b. Let v be q(f). Suppose -v - 60 = -4*t. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**3\/6 + 19*k**2 + 2*k - 16. What is the remainder when 44 is divided by n(30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430872276 to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 400 = -5*j. What is the greatest common factor of 567 and j?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5 = 5*g, -2*q + 5 = 2*g + 3*g. Let a(j) = 92*j - 1816. Let k be a(20). Solve -5*h = i - k, -h + 3 + 2 = q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddrd when four letters picked without replacement from {d: 6, r: 7}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2149702779 - 2149702873.99999884. Let n = 95 + p. What is n rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -696220904.7 rounded to the nearest 1000000?\nAnswer: -696000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190101 = 268*a - 248*a - 241539. Is a a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310422 - 231023?\nAnswer: 24344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -153*m. Let w(l) be the first derivative of 4*l**2 + 195. Calculate j(w(q)).\nAnswer: -1224*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -3, -9 in descending order.\nAnswer: -3, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 - 19*o**2 - 3*o + 3. Let l(u) = -2*u**3 - 20*u**2 - 4*u + 4. Calculate 4*f(v) - 3*l(v).\nAnswer: -2*v**3 - 16*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (0 + sqrt(1088) - sqrt(1088)))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - v + 14. Let n be b(-6). Suppose -d + 4*d - 2*z + n = 0, 3*z = 2*d + 154. Let l = d - -90. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10683 - 34*o**2 - 24568 + 13885.\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) + (-54)\/(-10). Suppose -y*x - 32 = -x. Let l be (-3)\/(-4) + (-2)\/x. What is the third biggest value in 2, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(2240) - (sqrt(2240) - 5*sqrt(2240)) - sqrt(2240)))\/(-6*sqrt(28)\/sqrt(4)) + 0.\nAnswer: 31*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r. Let l(z) = -48*z**2. Calculate k(l(a)).\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4533*t + 110894 = -179218 for t.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -12*c**7 + 8*c**3\/3 - 21*c**2\/2 + 235. What is the third derivative of f(a) wrt a?\nAnswer: -10080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-330)\/((1*2)\/(-4 + 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 + 0.1. Let l = p + -1.1. Is l bigger than 5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 9:49 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1197182 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*c - 19*c + 55*c - 9*c**3 - 2 - 15 - 18*c to j*c**2 + y*c**3 + i*c + p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 2, j - 5*g - 5 = 6*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 4*v. Suppose 9*i - 5*i = 12. Let r(u) = u**2 - 3*u. Let m be r(3). Let t(h) = -h - 2*h - h**2 + m*h. Calculate i*a(j) - 4*t(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83840*f**3 + 78959*f**3 - 2940 - 19*f**2 + 19*f**2 wrt f.\nAnswer: -14643*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)\/u**(8\/7))\/(u**13\/u**36))**(4\/3) assuming u is positive.\nAnswer: u**(176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1\/9 (b) 15 (c) -21 (d) -1\/4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = k + 2*k - 19, 5*k - 27 = -3*z. Do z and -10\/493 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1\/4 (c) 25.6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -5, -35, 2 in ascending order.\nAnswer: -39, -35, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 120*x = -123*x + 22, 4*j + 28 = 2*x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-7))\/(2\/14). Let b be 3 + -5*((-27)\/r + 5). Put 1, 44, -2, b in descending order.\nAnswer: 44, b, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 32 = -3*z, -3 = 4*l + 5*z + 1. Let o be (-9)\/((-27)\/(-6)) - -7. Put 2, l, o in descending order.\nAnswer: o, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 13. Let d = -4 - q. Suppose 5 = d*f - 5. Solve f*b = b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 114, 159, 240, 363, 534, 759, 1044?\n\"Answer: g**3 + 12*g**2 + 2*g + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-5)\/i)**4*i\/i**(-1\/28)*i\/((i\/(i\/i**27))\/i)*i assuming i is positive.\nAnswer: i**(-1203\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 504056*p + 15879528196.\nAnswer: 4*(p + 63007)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1063447?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 5*s + 4*s + 104*s**2 + s**2.\nAnswer: 105*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let j be 63\/24 - (-6)\/16. Let z(u) = 5*u**2 - 129*u + 6. Let q(l) = 6*l**2 - 128*l + 8. Let n(m) = j*q(m) - 4*z(m). Determine w(n(o)).\nAnswer: -2*o**2 + 132*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -14528080 to the nearest 100000.\nAnswer: -14500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*j**3 + 1132946*j**2 + 18302 wrt j.\nAnswer: -24*j**2 + 2265892*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89270 divided by 17854?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 399*j - 402.\nAnswer: 3*(j - 134)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -127 + 1 + 2. Let l = 169 + p. Suppose 2*m - l = -m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*g = 585*g - 46074 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -a + 3*a. Let b(l) be the second derivative of 0*l**a + 0*l**4 + 1\/15*l**6 + 0*l**3 + l**2 + l + 0. Differentiate b(c) with respect to c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*-1*sqrt(1000))\/(sqrt(48)\/sqrt(54) + sqrt(800)*2 + sqrt(800)).\nAnswer: -450*sqrt(5)\/91","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1358454 and -0.4.\nAnswer: 1358453.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6726 is divided by 3360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 136*l - 19. Is r(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - u - 3959, -2*n + n = 3*u - 779. What is the lowest common multiple of n and 1356?\nAnswer: 9492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 - 2*a + 3. What is the units digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k + 62 - 2*k + 2*k - 15. Let y be l(17). Solve -4*h - 3*a = -6*h - 19, -3*a = h - y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2970 greater than -2889888\/973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 234643387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, d: 10}. What is prob of picking 4 n?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267217 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 93\/2. Let l = -0.92 - -0.52. Which is the closest to m? (a) 1 (b) 0.16 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 496696, -2, 5 in ascending order.\nAnswer: -2, 5, 496696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - (8 + -6) - -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -516 - -526. Solve 2*v - w = -2*p, -24*p - 3*v = -26*p + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f + 2 = 0. Factor -1 + f*h**4 - 2*h**2 + 1 - 2*h**3 - 2*h**5 + 4*h**3.\nAnswer: -2*h**2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j**2 - 2*j - 18. Let m(s) = 3*s**2 - s - 6. Let f(h) = 2*l(h) - 7*m(h). Calculate f(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -207*q + 80. What is g(1)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1346 + 1344. Which is the nearest to 2? (a) 2\/21 (b) n (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 3:49 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - 1368 = 0. Let v = k + -430. Calculate the common denominator of v and -23\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, q: 2, s: 6}. Give prob of picking 3 n.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - (7 + -5)) + 16 - 4) + -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16813148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 18 = w, 97*q = 94*q - 12. Calculate the lowest common multiple of w and 2201.\nAnswer: 4402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 95?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 10*f**2 + f - 8. Let v be l(10). Suppose -5*h = -2*c + 3*c - 17, 2*c = h + 1. Solve -2*p = -4, 2*p + h = 5*y + v for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2) - (-1718079)\/242 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000903 rounded to five dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1030515 (base 8) to base 7\nAnswer: 2223031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 8*b**3 + 3*b**2 - 27*b + 3. Determine o(4).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g + 158*g**2 + 6*g + 2*g as d*g + r*g**2 + z and give r.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 + 0*f**3 + f**3 - 22 - f**4 as q*f + p*f**2 + x + m*f**4 + u*f**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -10 + 46 + -17 + -47?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -6) + -8 - (13 - 25)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -5. Suppose 16*b - 23*b = 21. Let f = -173\/4 - -43. Put b, f, u in decreasing order.\nAnswer: f, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -63*b + 17. Let q be v(2). Let f = q + 126. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 10 (b) -0.05 (c) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 8. Let q be m(4). Suppose -p - q = -21. Suppose -3*a = -5*f + 7 + p, -5*f = a. Put -2, -4, a in descending order.\nAnswer: -2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.09 (b) -0.51 (c) 2\/9 (d) -5 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 84, 239, 498, 885, 1424?\n\"Answer: 4*b**3 + 16*b**2 - b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12)\/((-5)\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2525 and 113675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 141?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -38. Let d = o - -36. Which is the second biggest value? (a) -1\/6 (b) d (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/5 (b) -1\/4 (c) 2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 68*c*l**2*q - 2*c*l**2 + 2*c*l*q - 31413*c*q - c + 2*q wrt l?\nAnswer: 136*c*l*q - 4*c*l + 2*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201 - 203. Which is the closest to o? (a) 2\/3 (b) -3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.4618112 rounded to 2 decimal places?\nAnswer: -40.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yffdgzyfgfzyuug. What is prob of picking 3 f and 1 z?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8704251 is divided by 22036.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -8, 49, 170, 379?\n\"Answer: 4*c**3 - 4*c**2 + c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-28))\/(260\/(-3640))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -11*w**6\/30 + w**4\/2 - 7*w - 13. Let k(d) be the first derivative of z(d). What is the third derivative of k(v) wrt v?\nAnswer: -264*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - v + v)*(v + 0*v + v) + (-4*v - v + 3*v)*(0*v - v - v) - 2*v**2 + 7*v**2 + 2*v**2 in the form m + q*v**2 + t*v and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 3, -0.5, -32 in increasing order.\nAnswer: -32, -0.5, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63 - 36. Factor 2 + d*n**2 - 2*n - 11*n**3 - 11*n - 12*n**3 + 7*n**4.\nAnswer: (n - 1)**3*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8*z - 2. Determine i(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + ((-88)\/(-110))\/(1150\/32875).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5572693 divided by -161\nAnswer: 34613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 4. Let z be j(5). Let r = -3 + z. Let k = r + 19. Calculate the greatest common divisor of k and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/19, -1027?\nAnswer: -1027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**3 - 9915*c**2 + 4900455*c + 14790735 = 0. Calculate c.\nAnswer: -3, 993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025628161 to 6 decimal places.\nAnswer: -0.002563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4750185 is divided by 1279.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/90)\/(17\/68).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 389648 and 2044?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 2*g + 1. Let p = -10 - -1. Let v = p + 11. Suppose 0 = t + v - 4. Give x(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 186*x - 7467. Determine m(39).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from tqtq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -11*m**7\/105 - 7*m**5\/30 + 14*m**2. Find the third derivative of h(k) wrt k.\nAnswer: -528*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -200302545?\nAnswer: 200302553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 8239 - 60826. Let r = -248707\/18 + c. Calculate the common denominator of r and 2135\/(-204) + (-1)\/6 + 830\/16932.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52317659202 minus 22?\nAnswer: -52317659224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/7 - (-5940)\/1134 - 6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/40*1)\/(173\/(-692)). Sort 0, 150, m, -1\/4.\nAnswer: -1\/4, 0, m, 150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -30?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.62 + 3.34. Let r = -0.65 + 4.75. Let u = r - t. What is u rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40417 - 18*a**2 + 40417 + 5*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38341\/2 + -19145. Let k(v) be the first derivative of -n*v**2 + 0*v + 16. Let c(u) = -2*u**2. Give k(c(l)).\nAnswer: 102*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 89?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfssssggsssshs. What is prob of sequence fhg?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -730, -718, -698, -670, -634, -590?\n\"Answer: 4*f**2 - 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-1036))\/((((-14)\/21)\/((-4)\/(-6)))\/(-7))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 364, 1254, 2672, 4564, 6876, 9554?\n\"Answer: -9*q**3 + 318*q**2 - q + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1629 - 1646 - b**2 + 3*b**2.\nAnswer: 2*b**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1)*(-470)\/(-940).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9612 and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (222 + -111) - -24.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/96*(-3)\/(-2))\/(33\/(-12))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/8 - (3 + (-110)\/4). Calculate the common denominator of 11\/90 and ((-8)\/(x\/(-61)))\/(-3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2201110012 (base 4) to base 11.\nAnswer: 411475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.2. Let c = 11.3 - 11.268. Let g = 0.032 - c. Sort d, 5, g in decreasing order.\nAnswer: 5, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 66 = 2*s. What is the lowest common multiple of 8 and s\/4 - 2\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 16. What is the third derivative of -9*a**2 + 4*a**4 - l*a**4 - 5 + 5 wrt a?\nAnswer: -120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*l + 2*n, -3*l + 6 = 2*n - 0. Let z be (-5 + 4)\/((-10)\/l). Factor -3\/5*q**2 + 1\/5*q**3 - 2\/5 + z*q**4 - q.\nAnswer: (q - 2)*(q + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - 4*u**5 + 5*u**5 + (-5*u**4 + u**4 + 0*u**4)*((-1 - 4 + 6)*(-11*u - 16*u + 19*u) - 3*u - u + 2*u).\nAnswer: 42*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336 + -306 + (-2 - 2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*3*119\/(-85)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 9. Let u be -4*2 - 4*-1. Sort 1, g, u in ascending order.\nAnswer: u, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 6 + 0*l + 7\/3*l**3 + 1\/2*l**2. Find the second derivative of q(w) wrt w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3666341 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i. Let h(n) = 21*n**2 - n. Give c(w) - h(w).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 10*h**2 + 11*h. Let k be n(-11). Suppose 3*q - g - 3*g - 241 = k, 0 = 5*g + 5. Calculate the remainder when q is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 - 6*q**2 - 4*q + 1. Let k(w) = -w**3 - w - 1. Calculate -i(v) + 4*k(v).\nAnswer: -2*v**3 + 6*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -769 + 773. Solve 4*f + 20 - 4 = s*g, -20 = 5*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.14516 microseconds in nanoseconds?\nAnswer: 87145.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 9 = -17*m. Suppose m*c + 13 = 4*c. Suppose -26 + 91 = c*r. Solve -4*f + 9 - 1 = -r*n, 9 = -3*n + f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -351070 times 40.95\nAnswer: -14376316.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*h - 5*h**2 + 2*h**2 + h**2)*(-1 + 3 - 5)*(10*h**3 + 8*h**3 - h**3).\nAnswer: 102*h**5 + 816*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 20 = -9*j. Suppose -j*c = -6*c - 5*x - 411, -5*x = 2*c - 361. Does 33 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -39471 and 10609?\nAnswer: 50080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -26461?\nAnswer: -26460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2*z + 110 = 0, 2*z - 307 = -5*y - z. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 + -11 + 8 + -2 + 1. Solve -4*i = -7 - f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925775453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**3\/6 + 3*w**2\/2 + 2*w. Let n be a(-9). Is (-38)\/(-1) + 4 + n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*j + 15 = -67*j, -j + 31 = 6*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 5. Let q = -32 - -37. Suppose -q*x - 26 = -4*c + 35, -c = -5*x - 49. Let m be 56\/(-12) - (-3)\/x. What is b(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -247\/3. Which is the third smallest value? (a) p (b) -2\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from ffffffififffffif.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**3\/2 + 1167*f + 2. Let l(q) = -11*q + 18*q + 9*q. Give l(u(p)).\nAnswer: 48*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -121669.764 rounded to the nearest 100?\nAnswer: -121700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, m: 4, d: 2}. Give prob of sequence ddim.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivv when three letters picked without replacement from {i: 5, u: 1, v: 4, e: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1026 - 1026.5. Let u = 1.5 - 3.1. Let t = -0.4 + u. Which is the third smallest value? (a) t (b) 2\/11 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 422244 and 738927?\nAnswer: 2955708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37113710 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 19*j**3 + 2180*j - 2180*j + j**2.\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -4 + 3 + -10 + (2 - -14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000400813 rounded to 7 decimal places?\nAnswer: -0.0000401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 15 + 7 = -3*c, -8 = -4*c. Let v(y) = -y + 12. Let k be v(8). Let a(z) = k - 5*z + 4*z - 3. Calculate a(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, w: 6, n: 3, c: 1, r: 2}. What is prob of picking 1 c and 3 w?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -264.237\nAnswer: -263.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 153893.7ml in litres?\nAnswer: 153.8937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**4 - 40*h**3 - 335*h**2 + 3310*h - 5040 = 0. Calculate h.\nAnswer: -9, 2, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2130 divided by 426\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**2 + 8629185*r + 8629190 = 0. Calculate r.\nAnswer: -1, 1725838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/1239175 and -7\/194.\nAnswer: 2478350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 19952 - 9697 = 412221. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-468)\/3*11920\/116220?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t**2 + 2. Let s(i) = -3*i**2 - 1. Let m be -1*3*((-451)\/33 + 11). Let f = -5 - -8. Determine f*g(z) + m*s(z).\nAnswer: 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 410453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 47*j + 7. Let y(o) = -142*o - 22. Determine 16*a(v) + 5*y(v).\nAnswer: 42*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.5 (c) 0.064\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1))**19\/(w\/(w*w*w**(1\/3)))**18*(w**0\/(w**10*w))**(-45) assuming w is positive.\nAnswer: w**519","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*h**3 - 39*h**3 + 47*h**3 + 185*h**2 - 155*h**3 wrt h?\nAnswer: -1236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)*f*f**(-2\/37) assuming f is positive.\nAnswer: f**(-187\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 522 - 521.691. Let d = -1.81 + 1.956. Let t = d - f. What is t rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12\/11, -476\/11, -829, 1\/5 in decreasing order.\nAnswer: 1\/5, -12\/11, -476\/11, -829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.06 + -0.14. Let d = 0.6 - -2.4. What is the nearest to 1 in 0.2, d, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**7\/2520 + u**4\/6 - u**3\/6 - 25*u + 2. Let g(z) be the third derivative of l(z). Let r(d) = -15*d. What is r(g(h))?\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*9\/(1575\/(-10))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11646718067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w**3 + 294*w**2 - 677*w + 37381. Give h(97).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 8:05 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y + 1288 = -296 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 274781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -15*f - 572. Calculate t(-38).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30194934 is divided by 7548728.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 98 + -35. Is g at least as big as 40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k + 45 = 0. Let q(a) = 0*a**3 + k*a**2 + 3*a + a**3 - 3*a**2 - 5. Let v be q(-4). What is the highest common factor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40004120 + -3?\nAnswer: -40004123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -87553 or -87552?\nAnswer: -87552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(24) - (sqrt(1176) + -1*sqrt(1176) + sqrt(1176))) + sqrt(24) - sqrt(24)))\/(-4*-3*sqrt(192)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 4\/75, 142\/31, -0.3?\nAnswer: 142\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 443 + -273. Let t = p + -189. Is t bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3 + 3 + 13 - 3 + 2*s. Let b be n(-8). Factor 2\/3*p**2 + 0 + b*p.\nAnswer: 2*p**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 minutes after 2:04 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1032?\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17205 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*1*(-17 + (9 - 5 - -2)). What is the nearest to 1 in 7, a, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, c: 11}. Give prob of picking 1 f and 2 c.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 - -69?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 6) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - -365?\nAnswer: 34d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442357 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 10. Let c(b) = b - 10. Calculate -6*c(y) + 5*j(y).\nAnswer: -y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -729 + -75. Does 8 divide y\/(-10) + 2\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63060713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -316.72.\nAnswer: 4750.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*g + 209 + 207 = -71*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 3:10 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*j**2\/3 - 6547*j\/9 + 2614\/9.\nAnswer: (5*j - 2)*(6*j - 1307)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 = -h, p - 10 = -5*h - 4*p. Let k = -2.1 + 15.1. What is the second smallest value in h, k, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5885 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11271 is divided by 477.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (30 + (-5 - 11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 y, and 1 m when four letters picked without replacement from {j: 2, b: 3, y: 4, x: 4, l: 1, m: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29724?\nAnswer: 2, 3, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 101322424 (base 5) to base 3\nAnswer: 210012100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -3\/25?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z = -14*z - 1640. Suppose 5*k = 2*r + 1187, -2*r = -45*k + z*k + 948. What is the remainder when k is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -10.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9979*o + 9639719. What is k(-966)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 325*w**2 - 156*w**2 - 98*w**2 to b*w**2 + c + o*w and give b.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 4:05 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.16 and 0.184.\nAnswer: -0.02944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2680)\/(0 + 4 + (-3 - 2)). What is b rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, 1, 1\/3, -3.23, 0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22751 is divided by 2274.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6\/20 + 543400\/2000 and 80.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6734, -6736, -6738?\n\"Answer: -2*f - 6732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9936159 to 3 dps.\nAnswer: -0.994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23207681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1066, -1069, -1066, -1051, -1018, -961, -874, -751?\n\"Answer: j**3 - 3*j**2 - j - 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/54 and 13\/184649589.\nAnswer: 1107897534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -1624, 1\/3 in increasing order.\nAnswer: -1624, -2\/3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 50*k**3 - 24*k**2 + 37*k - 226. Is d(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -3)*8\/36*-51. Let t = b - 32. What is the second derivative of -j**2 + 0*j - 11*j**t + 11*j + j wrt j?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12142858 is divided by 97.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 + 0*o**2 + 2*o + o**2 + (2*o**2 + o**2 + 4*o**2)*(5 - 1 - 3) - 3*o**2 + 2*o**2 - o**2.\nAnswer: 7*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 11 = -0*s + 4*j, s = -j + 1. Suppose 0 = -s*y - 5*c + 25, -4*y - 1 = -3*c + 14. Let g be (-9)\/(-6) - 11\/2. Sort g, y, -0.01 in decreasing order.\nAnswer: y, -0.01, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-4) - (-12)\/(-4))\/(288\/192)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*n**2 + 6 + 6 - 66*n**4 + 27*n**4 + 29*n**4 as u*n**3 + x*n**4 + a + z*n + d*n**2 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -3, -48 in descending order.\nAnswer: 5, -2, -3, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 245 = -10*j. Let v = j - -54. Calculate the remainder when 8 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from qqqqqqmmqq?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 41000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -6377.\nAnswer: -2\/6377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1316*l + 1959 with respect to l.\nAnswer: 1316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**2 - 3470*o - 147935. Let t = -666 + 681. Let s(u) = -u**2 - 868*u - 36984. Let j(w) = t*s(w) - 4*p(w). Factor j(k).\nAnswer: 5*(k + 86)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (10 - 4) - (0 - 3 - 0)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 26*d**2 + 5*d - 6. Is 46 a factor of g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + -47 + (-9 - 4) + 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10 = 5*z - 3*z, -8 = 2*z. Suppose -4*j - 55 = -5*g, -4*j + 65 = g + y*g. Solve -4*k + 3 = g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 134412*z**3 - 8*z**2 + 9*z. Is s(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(448) + -2*sqrt(448) - sqrt(448)) + sqrt(448) + -5.\nAnswer: -7*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81735451.\nAnswer: 7, 349, 33457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1181413.7636 to the nearest 100.\nAnswer: 1181400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9292 and 20806?\nAnswer: 957076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**3 + 3*y**2\/2 - 2*y + 2148. What is u(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 3*h - 3. Let i be y(-2). Let v be (i\/(-1) - -4) + -2. What is the second derivative of b**2 + b**2 - v*b + b wrt b?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.006 (c) -33\/10 (d) 1 (e) -1\/2 (f) -0.3 (g) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*k**4 + k**2 - 16*k**4 + 4*k**4 wrt k.\nAnswer: -192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*m + 21, 6 = 4*m - 14. Calculate the remainder when 24 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-63)\/180 - 6\/(-10). Let u = -0.1 - 0.1. What is the closest to u in -2, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195740*s*t**2 + 12905*s - 5*t wrt t?\nAnswer: -391480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*i**4*x + 2949*i**4 - 16*i**2*x - 17*i**2 - 3*x wrt i.\nAnswer: -144*i*x + 70776*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 961181*l**3 - 744056?\nAnswer: 2883543*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, -8, -31, -86, -185, -340, -563, -866?\n\"Answer: -2*k**3 + 2*k**2 + 5*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -1111*z**6\/6 - 896*z**3\/3 + 29. What is the third derivative of n(d) wrt d?\nAnswer: -66660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7516286?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 0\/(-4) - -1. Sort d, 4, 8 in decreasing order.\nAnswer: 8, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*k - 3215 + 1604 = -1275 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, v: 1, f: 2, j: 1}. Give prob of sequence fcf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4 + 52*r**3 + 68*r**2 - 1300*r - 4200 = 0. Calculate r.\nAnswer: -7, -6, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 1 q when three letters picked without replacement from {o: 1, c: 3, q: 1, b: 1, e: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x**4\/11 - 157452*x**3\/11 - 27852174*x**2\/11 - 1268838432*x\/11 + 283341240\/11 = 0.\nAnswer: -2730, -93, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50360 + 78147. List the prime factors of h.\nAnswer: 37, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25427 + -25404. Sort 3, 5, d, -3, 1.\nAnswer: -3, 1, 3, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a**2 + 246*a + 259. Let w(k) = 80*k**2 - 2215*k - 2330. Let o(z) = 35*d(z) + 4*w(z). Factor o(u).\nAnswer: 5*(u - 51)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 440.9 from 5.\nAnswer: -435.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 4*o + 2*a = 4*o + 25, 20 = -4*o - 2*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.566 + 0.8.\nAnswer: 17.366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 286425857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by -20\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*a = -w - 6, -w = a. Suppose 5*t = b + 4 + 4, -t + 2*b = -7. Calculate the remainder when w is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -59110467?\nAnswer: -1\/19703489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 89*v - 176*v + 4*v**2 + 92*v - 3*v**2. Calculate the remainder when 117 is divided by p(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (14 + (-8 - -8 - 6))) + 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - a + 25 = 0, 13*z = 8*z + 3*a + 90. Calculate the remainder when 358 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.7423 - 55.\nAnswer: -35.2577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-84)\/(-15) + -5)*4\/18. Sort t, 4, -2\/7, -2\/5.\nAnswer: -2\/5, -2\/7, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 15760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 533, -5, 3, 5 in decreasing order.\nAnswer: 533, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83793.73 years to centuries.\nAnswer: 837.9373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from waewewaaaew?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(170) + sqrt(170))*-3)\/((-1*sqrt(160) - sqrt(160))*-6).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z)**(3\/16)\/((z*z\/(z\/(z*z**(-14)\/z))*z*z)\/z**20) assuming z is positive.\nAnswer: z**(245\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 2 - (-10 - (-312)\/76)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*q**3*w - c*q**2*w**2 + 6*c*w**2 - c*w + 6*q**3*w**2 + 11*q**3*w wrt w?\nAnswer: -2*c*q**2 + 12*c + 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, 0.08, 3 in decreasing order.\nAnswer: 190, 3, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 100100011 (base 2) in base 15?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-63)\/4)\/((-1020)\/(-96) + -11) and 175.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 164*d**3 - 6*d**2 - 53*d + 283. List the prime factors of m(6).\nAnswer: 17, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 3*g + 331. Is a(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 12 = -2*r. Let b be 6\/(r\/(-1)) + 4. Let q = -1 + b. Solve 7 = -4*s + i, 5*s - q*i + 6*i = -20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 540.90543 to 0 decimal places.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - -615)\/5 + 8 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/360 - p**5\/40 - p**4\/12 - p**3 - 26*p**2. Let f(i) be the first derivative of h(i). What is f(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 88\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23046 by 1.\nAnswer: -23046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/233 smaller than -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 80*f**2 - 3*f - 3. Let x be y(-1). Calculate the highest common factor of 16 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.1 - -1. Let y = x - -1. Does -0.02 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*r - 640, 2*r = -5*t + 4*r - 640. Is 12 a factor of ((-3)\/(-2))\/((-8)\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194777526 to the power of 1\/2, to the nearest integer?\nAnswer: 34566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*z = -36*z - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/30 and (2\/3)\/(3080\/1529).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.3. Let h = -67.3 - -65.3. What is the nearest to j in h, -5, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/20 - 7*z**4\/3 - z**3\/6 - 18*z**2 - 47*z + 4. What is y(-28)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471263589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4794 divided by -102\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -2, 1\/5, 1\/3, -2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31130 (base 4) in base 12?\nAnswer: 5b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**6 - 161*o**5 + 15275*o**3 - 564016260*o**2.\nAnswer: -480*o**3 - 9660*o**2 + 91650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1914*y - 1432*y + 857*y + 74670 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u. Let r(x) be the first derivative of -x**2\/2 - 6*x - 66. Calculate f(r(k)).\nAnswer: -k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50129, -15, -1 in increasing order.\nAnswer: -50129, -15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.5 + 9. Let f = c - 12. Let a = -2 + f. Put a, -2\/13, -1\/4 in ascending order.\nAnswer: -1\/4, -2\/13, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9*k**3 - 2*k**2 + 3*k - 3. Let a be y(-3). Suppose -3*x - a = -6*x. Calculate the remainder when x is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 12?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56851 at most 56849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {e: 2, k: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*u + 30*u - 109*u**2)*(-4 + 16*u + 4 - 1) to the form d + a*u**2 + q*u**3 + z*u and give q.\nAnswer: -1744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6718.7 + 6734.7. Let n = -4 + 6. Which is the nearest to -0.1? (a) x (b) n (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 19*z**2 + 3*z + 3. Let n(i) = 56*i**2 + 8*i + 8. Let a(w) = -3*n(w) + 8*r(w). Let v(s) = 4*s. What is v(a(u))?\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 6219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 204422, 19, 0 in ascending order.\nAnswer: 0, 19, 204422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - -1 - (-3)\/3. Let d(t) = 7*t**2 + 7*t - 3. Let f(w) = w**2 + w + 1. Let c(m) = -d(m) - 3*f(m). Let z(o) = 3*o**2 + 3*o. What is p*c(y) + 14*z(y)?\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727425972.\nAnswer: 2, 3, 7, 13, 31721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(320) - (sqrt(320)*1 - sqrt(320)))*1 + 5 + (sqrt(320) + 0 + sqrt(320)*-2 - -3*sqrt(320)*2))**2 + 0.\nAnswer: 480*sqrt(5) + 11540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -42, -47, -54, -63, -74, -87, -102?\n\"Answer: -n**2 - 2*n - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 10525 (b) 22\/7 (c) 0.3 (d) -3 (e) 1 (f) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-18)*(-2844)\/(-790). What is p in 1\/9*p**5 - 1\/9*p**2 - 1\/3*p**b + 0*p + 0 + 1\/3*p**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 - 242 - 93)*(-k - 3*k + 6*k)*(1 + 0 - 4) as g*k + v and give g.\nAnswer: 2160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -17533693 and -17533691 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*(-108)\/(-5346))\/(3\/33 - (1 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + h - h - 6*h**2 - 3*h**2 + h**2 + (2 - 1 - 2)*(0*h + 0*h + h**2))*(-10 - 4 + 12 - 4*h).\nAnswer: 44*h**3 + 22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - 9 + 58 + 17 + (-163 - 21*a**2 + 163)*(0*a**2 + 0*a**2 + a**2) + 2*a**4 + 3*a**4 - 4*a**4.\nAnswer: -18*a**4 + 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -145822.\nAnswer: -5\/145822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -230 - -226. Sort 3, m, -1\/4, -34 in decreasing order.\nAnswer: 3, -1\/4, m, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 567069 and 5763.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q + 36 - 27*q**3 + 249*q - 300*q**2 + 41*q.\nAnswer: -3*(q - 1)*(q + 12)*(9*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m - 8. Let p be s(11). Factor -3*j**2 - 2*j**2 + 2 + 4*j**3 + p*j**2 + j - 5*j**3.\nAnswer: -(j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - (-1)\/(-2)*10. Let v = 302 - 2118\/7. Which is the biggest value? (a) g (b) 1\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 824\/7 - 118. Suppose 5*i - 4*i + 3*l = -8, i = l + 8. Let f = 7 - 4. What is the nearest to 1\/2 in t, f, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.094679 and -1.\nAnswer: 1.094679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 14. Suppose -156 = 4*c - 4*k, 6*k + 44 = -c + 2*k. What is the tens digit of u\/9 - c\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**4 + 2*k**3 - 148*k**2 - 204*k + 319. Let g(d) = 4*d**3 + d**2 + 1. Let w(l) = -5*g(l) - s(l). Suppose w(u) = 0. Calculate u.\nAnswer: -27, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Suppose 4*s = -0*s - 8, -4*i + 102 = m*s. Suppose -b = 3*b - 108. Calculate the greatest common divisor of b and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 + (-5 - -10) - -47.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11388?\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 10*j - 63. Let v be u(15). Let i = -658 - v. Let d be 1\/((-1)\/(-1)) + -6. Put d, i, -3 in decreasing order.\nAnswer: i, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-8\/7))\/n**13 assuming n is positive.\nAnswer: n**(-85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 1\/4 (b) 3 (c) 4 (d) 1 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102995\/3768 + -1\/1256. Which is bigger: h or 27?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.3 (b) 174 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 4*v + 4*v)*(14*v**4 - 114*v + 114*v) + (2*v + 2 - 2)*(0 - v**4 + 0).\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011979746 to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/l**(-15\/4))\/l*l*l**(-3\/20))**(2\/21))**(-1\/23) assuming l is positive.\nAnswer: l**(-8\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 1971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.68 + -0.32. Let i(n) = 4*n**3 + n**2 + n + 1. Let l be i(-1). What is the second smallest value in v, -0.3, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1096*r - 32 - 506*r - 12 - 507*r)*(-1 - r**2 + 1).\nAnswer: -83*r**3 + 44*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1138075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 6331.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.09 and -42793?\nAnswer: 42793.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - x - 28 = 0, 5*c - 5*x - 27 = -12. Suppose 4*w + 0*w = 4. Let m be (-16)\/(-7) - (w + 1). What is the second smallest value in c, 3\/2, m?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -5 (b) -3 (c) 5\/3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -326580*x**2 - 15029?\nAnswer: -653160*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.3072 + 24.3006. Let m = -16 + h. Round m to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129565416 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18005721297 and -40.2?\nAnswer: 18005721337.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3466 = -1471. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -20, -208, -4, -1.\nAnswer: -208, -20, -6, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = 18*f + 14*f - 108. Suppose -4*w + 326 = 5*j - 334, 0 = 4*j - 5*w - 569. Suppose f*l - j = 932. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from xpptv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 7*y - 4. Let p(z) = -z - 50. Let k(a) = -2*a - 83. Let r(t) = 3*k(t) - 5*p(t). What is i(c) + 4*r(c)?\nAnswer: -c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnnnnnnnnnwmmmnnmn. What is prob of picking 3 n?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + w + 3*w**4 + 0*w**4)*((51*w + 7*w - 24*w)*(-1 + 0 + 0) + 3*w - 6*w + 0*w).\nAnswer: -74*w**5 - 37*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10869 - 10864. Sort f, -2\/9, -0.4 in descending order.\nAnswer: f, -2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 37, -6 in ascending order.\nAnswer: -6, -1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z. Suppose 5*h - 3*h + 10 = z. Let o(i) = i. Let n(m) = 2*m**3 - 5*m + 7. Let d(u) = h*o(u) - n(u). Differentiate d(f) with respect to f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 = -5071.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9855 and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2781 is divided by 927?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o = 2*h - 127, 16*o + 4 = 15*o - 7 + 6 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.2 + 4.5. Let q = -7\/16 + 83\/80. Which is the nearest to q? (a) -2 (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28004, 28043, 28084, 28127, 28172, 28219, 28268?\nAnswer: 28319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 13*t - 30 + 6*t**2 + 10*t**2 + 10*t**2 - 27*t**2. Let a be i(10). Solve -2*r + 4*b + b = 23, a = r - 3*b + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqtsqstfttqseq. What is prob of sequence ste?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -4, -0.3, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = -11. Suppose -2*v + i = 2*v. Let l(t) = 4*t**2 - 60*t + 60. Let r be l(1). Solve 2*h - r = v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 548\/(-2877) + 361\/21 + (-54)\/8?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1382 rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 3*z**2 + 4*z**2 + (-60 + 462*z + 30 + 29)*(3*z - 6*z + z) to q + r*z**2 + c*z and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 291 and 153066.\nAnswer: 153066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p - 7*p + p + 0*p in the form d*p + j and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + (sqrt(684) + sqrt(684) + sqrt(684)*2)**2 + -1 + 0)*1.\nAnswer: 6*sqrt(19) + 10943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-3*(-1)\/2. Let i be t\/(-6) + 14\/4. Let u be i\/1 - (1 - 1). Solve b = -o - 10 - 0, -2*o - u*b = 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*o - 58 + 57 = 0, -i + 14 = 3*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69 and 2.2?\nAnswer: -151.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 460, 461, 462, 463?\n\"Answer: u + 459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5\/4*y**2 + 225\/4 - 115\/2*y = 0.\nAnswer: 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(1*4\/12). Suppose 4*w - u = 25 - h, -2*w = -u - 6. Suppose -3*t = -w*m - 6*t + 23, m = t + 11. Solve -y = -3*q - 9, 4*q + 3*y + 2*y = m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*v - 23 + 23)*(-v + v - v**3) + (3*v + 2 + v - 3*v)*(-2*v - 3*v**3 + 2*v) in the form o*v**4 + x*v + l*v**2 + y + r*v**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -15. Suppose -2*g - 48 = -5*g. Let m = g + -11. What is the remainder when f is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d*f**4*y**2 + d*f**2*y + 3*d*y**2 + 9044*d - 220*f**4 + 17*f**3*y wrt f?\nAnswer: 72*d*f*y**2 - 5280*f + 102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20397757.9 rounded to the nearest one thousand?\nAnswer: 20398000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 174306019 and 8.\nAnswer: 174306027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 121 + -92. What is the remainder when a is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981097?\nAnswer: 13, 163, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 8*(20\/(-16) - -1). Suppose h - 94 - 224 = m. Does 33 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -38*h**2 + 38*h - 172. Let x(r) = -10*r**2 + 10*r - 43. Determine 6*l(o) - 23*x(o).\nAnswer: 2*o**2 - 2*o - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i*l**2*x - 4*i*l - 10*i - 132*l**2*x + 2*l**2 wrt x?\nAnswer: 2*i*l**2 - 132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18597.03631 rounded to the nearest one hundred?\nAnswer: 18600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16652255027 from 0.0136.\nAnswer: -16652255026.9864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 - 18*q + 3. Let x be f(-9). Let v be (0\/9)\/(-1 + x). Solve 2 + v = 2*s + 2*l, -3*s - 2*l = 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = d + 3. Does 5 divide (-17 + 2 + d)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -7405c0?\nAnswer: 7405c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 126896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 164.3 (c) 13\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -8, 9, 24, 37, 48?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/126 - 35\/(-126)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 9732?\nAnswer: 19\/9732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2. Let j(b) be the first derivative of 2*b + 3 - 1\/6*b**4 + 0*b**3 + 0*b**2. Let i(p) be the first derivative of j(p). Determine o(i(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**3 + 777*x**2 - 271*x**2 - 251*x**2 - 255*x**2.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/2 - 24*u + 46683\/2.\nAnswer: -3*(u - 117)*(u + 133)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 19*i**3 + 141*i**2 - 334*i + 372. Let a(j) = -4*j**3 - 28*j**2 + 67*j - 75. Let k(n) = -14*a(n) - 3*o(n). Determine k(-33).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*q - 3*q. Let l = 8 - q. Let m be (-6)\/39 + (l - 2). Are m and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16063841069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11\/9 - (-1)\/(4\/(-4)). Is 35 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*s = -3841 - 103 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*m**4 + 64*m**4 - 75*m**3 + 75*m**3 + 770*m**2 + 2*m**5 + 88*m**4 wrt m?\nAnswer: 120*m**2 + 3360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1779, -3442, -4913, -6192?\nAnswer: -7279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.4.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 4, 0.5, 88, 5\/3 in descending order.\nAnswer: 88, 4, 5\/3, 0.5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = d + 22, -5*d - p + 5*p + 6 = 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0 = -6. Suppose 3*h = -5*t - 292, -6*h = -m*t - h - 92. Let j be ((-16)\/t)\/((-6)\/14). Is -2 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6559134900 to the nearest one million.\nAnswer: -6559000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -7*w + 125. Is w at least as big as 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*b + 16 = 0, -4*x + 5*b - 25 + 8 = 0. Suppose 17 = 6*d - 7. What is the least common multiple of d and (x - (-1 + 1)) + 8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 13, g: 3, m: 3}. What is prob of sequence ag?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 - 6 - (2 + -1 + 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**9\/252 + u**6\/30 - 3*u**3\/2 - 23*u. Let k(s) be the second derivative of v(s). Find the third derivative of k(g) wrt g.\nAnswer: 720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (119 - (-3 + 2)) + 2\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2121, -2068, -1967, -1806, -1573, -1256, -843, -322?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 11. Let z = l - 10. What is the second biggest value in 0, 1, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 15) + -13 + 0 - (-12 + 13).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-7\/5)*s**(1\/4)\/s**1)**(-41) assuming s is positive.\nAnswer: s**(123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a - 4*b + 8, 0 = 3*a + 5*b - 10. Let x = -1 + a. Let h(c) = -11*c. List the prime factors of h(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 19 + (-15 - 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*r - 6*r - 2054 = -4*r + 42*r for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -3*k**4\/28 + 17*k**3\/7 - 27*k**2\/2 - 243*k\/7 - 29. Factor c(p).\nAnswer: -3*(p - 9)**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509746319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*h + 2*h - 2*h)*(0*h - 7*h + 0*h) - h**2 + 0 + 0)*(0*h - h - 6*h**2 + 3*h**2) + (2 - 2 - h)*(-1 + 2*h**3 + 1).\nAnswer: -125*h**4 - 41*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 594336976 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*h)*(1 + 31 - 7).\nAnswer: -50*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1.15. Let y = 0.8 - k. Is 1 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/4 and ((-7)\/(-16478))\/((-3)\/(-71270)*5) + -2?\nAnswer: 14124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49135 + -145340\/3. Let w = -220949\/321 + x. Is w smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -621206 + -188.\nAnswer: -621394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((8*(-3)\/57)\/(-2))\/(-2)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-9)*-1)\/((-11)\/99). Suppose -2*s = -2*i + 14, 0*i - 4*s - 18 = -v*i. Solve -10*b + 8*b + i = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 - (2 + -15 + 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 663 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -584112 divided by 194704.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 73*x + 464. Give k(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 + 78 = 7*y. Is 57 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 422\/1 + (56\/(-7) - -6). Let h be (-160)\/l - (-1)\/(-3)*-2. Which is the closest to -2? (a) -2\/13 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65223326?\nAnswer: 2, 7, 4658809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14\/161)\/((-132)\/506))\/((-3)\/(-936)).\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from dddudududduu?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + g)*(-23*g + 25 - 25) + (2 + 0 - 7)*(g**2 - 4 + 4).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 646963*b**2 + 5*b - 451495?\nAnswer: 1293926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -2*x - 3*c, 22 = -2*x - 5*c - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/24 + (-2)\/6)*6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/15)*p**(-6\/5) assuming p is positive.\nAnswer: p**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**8\/336 + 23*f**4\/24 - 9*f**2. Find the second derivative of z(h) wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 354 and 17641.\nAnswer: 105846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 - 2*l + 34 - 53*l**2 + 11*l + 50*l**2.\nAnswer: -3*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2526458 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3431300 rounded to the nearest one hundred thousand?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52669 + 6*b**2 + 104232 - 51563.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7350 - -7675. What is the biggest value in -1\/5, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*m + 12 = -0*m, -4 = 4*m. Let c = 1 + -2. Put c, b, 0 in decreasing order.\nAnswer: b, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, r: 1, x: 1, d: 1, y: 1}. What is prob of sequence yxbd?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 38 = y, -2*y = -4*a + 2*a - 76. Let p = 42 - y. Let z be (12\/(-9))\/(3\/9*-1). Solve z = -0*q + p*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 s when three letters picked without replacement from zszssz.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5463854 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 58986\/(-30)*(-1475)\/86. Let l = u - 33722. Find the common denominator of l and 83\/2.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.1, -2\/7, 0 in decreasing order.\nAnswer: 11.1, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24.61715378 and -0.02?\nAnswer: 24.59715378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 3 - 28*n.\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*z + 3 + 41. Let h(v) = v**3 - 15*v**2 - v + 24. Let b be h(15). Let a(o) = -6 - 9*o + b*o + z*o. What is a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 1\/14*u**8 + 0*u**7 + 2*u + 0*u**2 + 0*u**3 - 1\/3*u**4 + 0*u**6 + 0*u**5 + 0. Find the third derivative of m(q) wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c - 4 + 3*c - 2*c. Let t(n) = 14*n**2 + 4. Let r(z) = -17*z**2 - 5. Let o = -1071 - -1066. Let q(a) = o*t(a) - 4*r(a). Calculate q(i(s)).\nAnswer: -72*s**2 - 96*s - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 12 = -r - 8, 3*k = -3*r for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -1454520.\nAnswer: 727260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + h - 16, 3*j - 6*h = -3*h + 12. Suppose -4*p - 3*o = -18, 2*p + j*o - 16 = -2. Solve -2*b = -v + 3, -6*b + 2*b + p = v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 16490404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/5)\/(5\/(-25)). Suppose 4*a = -v*o + 1197, -5*o + 3*o = 10. Suppose -d + 446 = 5*t - a, 5*t + 2*d = 753. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -457*q - 44. Let p be o(6). Let n = 211 + p. Let v = n - -48939\/19. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 8. Suppose 0 = 2*n - 0*n + 3*y - 1, -i*y + 5 = 4*n. Suppose -4*l - n*j + 6*j + 100 = 0, -j = 3. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20282*r**5 - r**3 - 3*r - 6738?\nAnswer: -405640*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30363522 (base 7) to base 2\nAnswer: -1001101011010100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225 by 14768.\nAnswer: 225\/14768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/25 in -1082, -0.07, 5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (-33)\/(-3))\/1. Let k(f) = -f**3 - 8*f**2 - 9*f + 1. Let x be k(n). Let l = 45 + x. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1 - b)*(20 - 8 + 4)*(1 - 2 - 4)*(2 - 2*b - 2).\nAnswer: -160*b**2 - 320*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145*s**3 + 62*s**3 + 81*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 4*c - 11, 0 = 960*c - 962*c + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.183 - -4.093. Let o = y - 4.31. Which is the smallest value? (a) -18 (b) o (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let z be (-1)\/(-2) + 2\/(-4). Suppose -k - 5 = -z. Let i(q) = -q - 3. Let d(u) = u + 4. Let j(f) = 3*d(f) + 4*i(f). Calculate k*s(o) + 4*j(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 2, 35, 0, 0.5, -257646, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.69 + -0.29. Let x = -1.3 + a. Put -10, -3, x in descending order.\nAnswer: x, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/sqrt(567) + sqrt(700) + 1 + 4*(-3 + sqrt(56)\/sqrt(8) + 2).\nAnswer: -3 + 127*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1539)*1)**2.\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(1\/16)\/(11\/22). Let b(w) = 3*w**2 - w**3 - 4*w + 3*w**3 + 5*w - w**3. Let v be b(-3). Put o, -0.3, 1\/4, v in increasing order.\nAnswer: v, -0.3, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 13*b**2 + 26*b - 13. What is the remainder when z(-9) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1050 = -6*w + w. Suppose w = 21*f - 35*f. Which is smaller: -47\/3 or f?\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 41 = -25. Are h and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14455781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50712 is divided by 539.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19839 is divided by 248.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2166 and 24.\nAnswer: 8664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(18))\/sqrt(9))**2 - sqrt(12)\/(sqrt(30)\/sqrt(5)).\nAnswer: -sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17de9 + -113?\nAnswer: 17cd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-12)\/14)*(-106)\/371.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + -3 + 3\/3. Let b be (6\/p)\/(9\/(-10)). Let x = b + 1. What is the biggest value in -5, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418755418 a multiple of 738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*a + 381*o - 383*o, -2*a + 3*o - 30 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 98?\nAnswer: 3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*k + 10 - 14 + 76*k + 4.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.624 and 4?\nAnswer: 3.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -60804885 and 1298477.\nAnswer: -59506408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/27))**40)**(-15) assuming i is positive.\nAnswer: i**(400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 10*r - 23)*(-r + 4*r - r) + (-3*r + 3*r + r)*(-2*r - 4 + 4).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/28 (b) -1 (c) 9\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17275? (a) 5\/29 (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5387766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -9. Suppose 3*t - 4*t = f. Calculate the remainder when 2 is divided by (-48)\/(-22) + t\/33.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 0 to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -442*x - 171*x - 150*x - 48*x to the form y*x + c and give y.\nAnswer: -811","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.0902 and -4.1.\nAnswer: -16.76982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {c: 2, g: 12, w: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -23 + 61 + (1 + 6\/9)*3. Solve -23 = 4*t - x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (235 - 234) + 2\/(-8) + 25\/(-12)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11473177633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792973.4 years to centuries.\nAnswer: 7929.734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 2:35 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59*c**2*f**2 + 2634*c**2*f*h**2 - c**2*f*h + 327*c*f**2*h**2 - 516*c*f**2*h + 10*c*f**2 - 2*f*h**2 wrt h.\nAnswer: 5268*c**2*f + 654*c*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3507190 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: Simplify 5*((-6*-2*sqrt(66) + sqrt(66))\/(sqrt(486) - sqrt(486)*-1) + (sqrt(66) + 4*(sqrt(66)*-1 + sqrt(66) - sqrt(66)))\/((sqrt(216) + sqrt(54))\/sqrt(9)))**2.\nAnswer: 1375\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -3*m**2\/2 + 19*m - 2. Let b be (24\/(-28))\/((-2)\/(-14)) + -4. Calculate the remainder when a(b) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f + 36*f + 45 = -5*b, -3*f = 2*b + 23 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -3. Suppose 3 = n*x - 3*x. Let k be 8\/x - (-5 + 3). Solve -3*j = -5*j + k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 + 3 + -1) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389, 775, 1147, 1499, 1825, 2119, 2375?\nAnswer: 2587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531951?\nAnswer: 3, 7, 73, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 85, 365, 827, 1465, 2273, 3245, 4375, 5657?\n\"Answer: -k**3 + 97*k**2 - 4*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6031524 centimeters to micrometers.\nAnswer: 6031.524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, o: 7}. Give prob of picking 3 w.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -111011221012212 (base 3) to base 6\nAnswer: -410054252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 90.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78789.\nAnswer: 3, 26263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 358*l**3 - 6*l**2 - 6*l. Let c(x) = -359*x**3 + 7*x**2 + 6*x + 1. Let w(q) = 5*c(q) + 6*h(q). Does 27 divide w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34624 divided by 8656?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-4)\/(-2) - -4. Suppose -4*f + 13 = 5. Suppose c*w + 75 = 2*r, -r - f*w = r - 40. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028422 to six decimal places.\nAnswer: 0.000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1169 - -423. What are the prime factors of 6 - 14\/7 - o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -1141694?\nAnswer: 1141690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*l*t**2 - 3*l + 55*t**2 - 261*t wrt t.\nAnswer: -22*l + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 272710517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 8830?\nAnswer: 8830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1359 + -1575. Is f greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8993.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18636276*x**5 + 11048703*x**2 wrt x.\nAnswer: -1118176560*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 3:33 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 12*g + 158 = -10*g, 5*s - g - 201 = 0. Solve 0 = -30*l + 10*l - s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9560 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 8. Let d(u) be the second derivative of -u**5\/10 - u**4\/12 + 5*u. Is d(y) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 31. Let y = 44 - 40. What is the tens digit of -1 + h + 308\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8009 + 1.7836. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 10*q + 41. Calculate the remainder when 80 is divided by h(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*m - 8*m**4 - 9*m - 2*m**3 - 2 + 7*m**4 + 14*m to the form h*m**4 + k*m**2 + b*m**3 + l + i*m and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13645372 to the power of 1\/2, to the nearest integer?\nAnswer: 3694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*n + 8 = 0, 2*n - 8 = 5*q - 2*q. Suppose q*z - 4 = -2*z. What is the smallest common multiple of z and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7043 + 8256. List the prime factors of i.\nAnswer: 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(7\/2)\/c**(1\/4))\/(c**2)**36)\/((c*c*c**5*c*c*c*c\/c**(-7))\/(c**(-1\/4)\/c**(-7))) assuming c is positive.\nAnswer: c**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*f. Suppose o + 2*s - 2 = f, -1 + 7 = o - 2*s. Solve 5*c + 17 = -4*n + 54, -c - o = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 6*x - 8 + 2 + 7. Let w be (-2 - -3) + 0 + 4. Let n be (-10)\/w - 1*-1. What is p(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(76)*-2*-5 + sqrt(76))\/sqrt(576))**2.\nAnswer: 2299\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssswww. Give prob of sequence sw.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5 = -n + 3*s, 5 = 5*s. What is the first derivative of -23*z**n + 36 - 208*z + 208*z wrt z?\nAnswer: -46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15036.5 - -15038. What is the fourth smallest value in s, 0, -3, -3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -895*c = -898*c - 2*t + 4, -2*c - 2*t + 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 34*d = -56 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 290 and 13333504?\nAnswer: 66667520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 v, and 1 e when four letters picked without replacement from ewvreoeswreo.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from {u: 1, r: 9, v: 4, l: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11245 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000112937019 to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from puufheohpup?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*z**3 + 832*z**2 + 2*z + 17701 wrt z.\nAnswer: 48*z + 1664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*k + 6*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53756 and 11545460.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2\/33 (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide ((-9)\/(-18))\/((5 - 54663\/54666) + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/3)\/g**(2\/7)*(g**(-2\/17)\/g)\/(g*g**(-1\/4))*(g**(-3)*g)\/(g*(g\/g**(-1\/8))\/g*g*g)*(g*(g\/(g**(2\/9)*g))\/g)\/g**(3\/7) assuming g is positive.\nAnswer: g**(-73649\/8568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 883114 to the power of 1\/2, to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1509656 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2))**(11\/3)*h**(2\/15)\/(h*h**(-2)))**(2\/25) assuming h is positive.\nAnswer: h**(89\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(10\/3)*u)\/((u*u**(-8))\/u*u))\/(u**(2\/7)\/u**(4\/11)))**(5\/17))**8 assuming u is positive.\nAnswer: u**(105440\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)*q*q**(-4\/9)*q)**(-28) assuming q is positive.\nAnswer: q**(1120\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*k + 24*k + 5*k - 57 = 0. Let c(o) = 79*o + 2. Give c(k).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*g + 1760 = -375*g. Let b(x) = 39*x. Let u(j) = -8*j. Determine g*u(h) - 4*b(h).\nAnswer: 20*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 5*h + 6. Let s be (1\/1)\/(5\/25). What is n(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryyyryyyyyyyyyyyyyy. What is prob of sequence rryy?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1745 is divided by 216.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - 21*m + 18. Let n(s) = s**2 + 10*s - 18. Let z be n(-10). Let v be l(z). Let d = -72 + v. Solve 4*y - 2*r + 2 = 0, -y - r + 4 + 0 = d for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10*-2*16\/20. Suppose 13198 = a*q - 3954. What are the prime factors of q?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*q - 13 = 0, 2*m + 2*q + 3 = 5. Let n(y) = -3 - y**2 + 0 + 4 + 3*y + 2. Let h be n(3). Solve -m*i - h*g + 3 + 8 = 0, 3*i + 26 = 4*g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 363580*f**2*g**3 + 3*f**2*g**2 - 3*f**2*g - 44*f**2 - 2*f*g**3 - 13*f*g**2 + 5*g**3 + 2*g**2 - 42 wrt g.\nAnswer: 2181480*f**2 - 12*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 210000 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 a factor of 17617655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 1)*28\/(-12). Let x be 4\/2 - (t + -1). Let w be (-2)\/3 + x\/6. Are w and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23.692 and -270?\nAnswer: -6396.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 3:51 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 21*k**2 + 295*k + 24. Let h be x(-14). Solve 3*z - h = -2*j, -z - 2 - 4 = -4*j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0. Let k = 3.32 + -0.32. Which is the second biggest value? (a) k (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 6. Let u be 0 - 9\/(-3) - o. Suppose u*t = -2*q - 4, 4*q + 3 + 5 = 2*t. Which is smaller: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 2\/11, 8\/3, 4\/13, -4?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/4 - 20305*u**3\/4 + 20302*u**2 - 20301*u.\nAnswer: u*(u - 20301)*(u - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10128.017874 rounded to the nearest ten?\nAnswer: -10130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (3 - (-85)\/(-10)) + 5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.695561 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:16 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 15*v - 112 = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 5*r**7\/42 - 7*r**6\/6 + 15*r**5\/4 - 15*r**4\/4 + 97*r. Determine l, given that k(l) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2504347655 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - x**2)*(-20 + 219 + 118 + 357 - 104).\nAnswer: -570*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 12*l**2 - 18*l + 81. Let d be c(11). Solve 0 = -4*t + s - 7, -t + d*t + 29 = -4*s for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 339 - 333. Calculate the greatest common divisor of 54 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*j**3 - 2*j**4 + 61*j**3 - 31*j**3 + j**4 + 75*j wrt j?\nAnswer: -12*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 313600 and -0.117?\nAnswer: -36691.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 2. Let n(k) = -2*k - 3. Let g be n(c). Let d(q) = -q**3 - 7*q**2 - 8*q - 7. Let w be d(-6). Solve -2*p - g = w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 6. Let f be j(6). Let y be 1238230\/285 - 2\/(-6). Suppose 0*p + 2*p - d - 8681 = f, -p + 2*d + y = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*s + 17, 4*s - 4*r + 12 = 6*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 1 - 1 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86692*k**2 + 4 + 3878*k**2 - 2 - 2.\nAnswer: 90570*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 983, 992, 1013, 1052, 1115?\n\"Answer: y**3 + 2*y + 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3832.3 - 3832. What is the third biggest value in s, 4, -6, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 11*w**2 - 6*w - 6. Let i(m) = -3*m**3 + 32*m**2 - 17*m - 17. Suppose 8*g - 3*g - 5*k = 65, -5*g + k + 81 = 0. Give g*x(t) - 6*i(t).\nAnswer: t**3 - 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-25))\/(3588\/14950). What is the closest to o in -125, -3\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 1164*k - 1164*k. Let u(m) be the third derivative of -7*m**5\/60 - 10*m**2. Determine x(u(w)).\nAnswer: -49*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -589?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1858.9 + -0.2\nAnswer: -1859.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 3*y**2 - 2*y**2)*(-2*y + y + 0*y) + y**3 - 7*y + 7*y + 10*y**3 - 12*y + 12*y + (-y**3 + 2*y**3 + 0*y**3)*(-1 + 5 - 2).\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -27*d**5 - 13944*d**4 + 49981*d**3 + 31666*d**2 - 28072*d + 4160 = 0.\nAnswer: -520, -1, 2\/9, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 648 - 363. Let w = 158 - t. Let y = w - -147. Calculate the highest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 10 = -3*i - 3, 30 = 5*i - 2*k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3 = 4*i, -20 = -6*l + 2*l. Suppose -5*o + 34 = 5*p + 4, -i*p + 20 = -2*o. What is the lowest common multiple of 2 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 1 = 5*q, 279*g = 139*g + 141*g + 5*q - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from vvqvvvvvvq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 10*a - 12. Let n be x(-8). Let l(i) = i**3 - 4*i**2 + 2. Let z be l(n). Solve z = 2*b + 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*f + 1872 - 6724 = 2770 for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*s - 3. Let u be (-1)\/(((-6)\/20)\/3). Suppose -s*c - 21 = -3*d, c = -4*d + u - 2. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -2 - -5 - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxr when three letters picked without replacement from {r: 7, s: 2, x: 2, n: 7}.\nAnswer: 49\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18334531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(4)*-1 + 5*(sqrt(11) - (sqrt(11) + (sqrt(33)\/sqrt(3))**2)) - (sqrt(11) - 1*(sqrt(44))**2 - sqrt(539)*-1).\nAnswer: -9*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + (-1349)\/(-142) + 2\/4. Let j(s) = -38*s + 9. Calculate j(p).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6041284 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 2*c - 4. Let b be x(-3). Calculate the highest common factor of b and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 9, 81603?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-120)\/62 - (-152)\/(-2356))*(-7)\/2. Solve -r + 20 = -4*s, s - 4 = -9*r + y*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42126073367 and 31.17.\nAnswer: -42126073335.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/14)\/((3 - 2) + 1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 7:00 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*i - 4*a - 2, 3*i + a - 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 917835 and 39904?\nAnswer: 851750880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-252)\/(-224))\/((-2)\/(16\/6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -1, -4, 3\/4 in decreasing order.\nAnswer: 10, 3\/4, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 6*a + 50. Let t(q) = q**3 + 6*q**2 - 2. Give t(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 111, 250, 445, 696, 1003, 1366?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-11)*q*q**17*q)\/((q\/(q\/(q*q**(8\/3))*q))\/((((q\/q**22)\/q)\/q*q)\/q)))**(-12\/5) assuming q is positive.\nAnswer: q**(212\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d. Suppose 63*n - 58*n + 10 = 0. Let p(m) = 25*m**3 + 3*m + 1. Let s(v) = n*p(v) - 6*r(v). Find the first derivative of s(g) wrt g.\nAnswer: -150*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + sqrt(5) + 4 + ((sqrt(60) + -3*sqrt(60))*2)\/sqrt(12).\nAnswer: -3*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1154, -231, -6688, -20755, -44970?\nAnswer: -81871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*x - 21 = 0, x - 3 = 3*i - 3*x. Suppose 7*o - 4*o = -4*w, i*w + 17 = 2*o. Solve 2*f = o*f - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((2420\/(-132))\/(-55) + 2\/(-6)*-41).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 1\/240*p**5 + 0*p - 56*p**2 + 0 + 1\/4*p**3 - 5\/96*p**4. Factor y(d).\nAnswer: (d - 3)*(d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18079994)\/(-4) + 12\/8. Round c to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/913 and -43\/1472835.\nAnswer: 16201185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by -66?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.07279009.\nAnswer: -0.29116036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-4*(-9)\/(-36))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -9 + -5 - (-3 - -4 - 6).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 3 + -3 + 8 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*22085\/(-28)*(-9 - -11). Do -31544\/5 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a + 120. Give r(-19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 35*f**2 - 34*f - 46. Let w be b(36). Suppose -w*u = -30*u + 34400000. What is u rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 - 221020121102?\nAnswer: -221020200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 4*n - 6. Let p be i(4). Let f = -8 - p. What are the prime factors of 1 + f*15\/(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -22*y - 14. Give f(1).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -86. Let r(m) = v - 20 - 2*m - 26. Let h(n) = 6*n**2 - 2*n**2 - 12*n**2. Calculate h(r(z)).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/19? (a) -1\/6 (b) 2 (c) -2\/15 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*a**2 - 48*a**2 + 5*a**2)*(-3729 + 2097 + 1900) + 5 - 5 + 2*a**2 in the form u*a**2 + m*a + i and give u.\nAnswer: -7502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2120 and 1060.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/(-1242)*(3\/4)\/(-1)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.503248 + -287867?\nAnswer: -287866.496752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-22)*(-3300)\/240\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 851680347 a multiple of 1743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 12) in base 2?\nAnswer: 1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 + 6871 - 8*y**3 - 3437 - 3428 + 4*y**2 - 2*y to n*y**2 + h + a*y + i*y**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5523, 5521, 5519?\n\"Answer: -2*u + 5525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 140?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*c - 22, 3*r - 11 = c + 2. Let y be r\/(-18) + 38\/9. Solve 5*m = 16 + y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 398 - 221. Let v = m - -58. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 975328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 276251.\nAnswer: -58\/276251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k + 2. Let v be (8\/12)\/2*-6. Let q be s(v). Suppose 36 = c - q. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*k**2 + 399*k = 0. What is k?\nAnswer: 0, 133\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 618 - 614. Solve -5*r = -4*a - 7, -4*a + h*r + 2 - 6 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2 (c) -0.1 (d) -3\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1004*k**2*l*m + 197*k**2 - 8*k*l*m - 5*k - 2*l - 3 wrt m?\nAnswer: 1004*k**2*l - 8*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -2*j**7\/7 + 47*j**5\/5 - j**3\/3 - 27*j**2 - 44. Find the third derivative of o(l) wrt l.\nAnswer: -240*l**3 + 1128*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 717, 6\/5, -10.96 in decreasing order.\nAnswer: 717, 6\/5, -10.96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2484.5 - 2486. What is the closest to -1\/2 in -0.8, 2\/13, g, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o - 9. Let m(f) be the first derivative of -3*f**2\/2 + 14*f - 1. Suppose -5*i + 25 = 0, s + i + i = 18. Determine s*t(g) + 5*m(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 13\/1272?\nAnswer: 13\/1272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2. Let n(m) be the second derivative of -m**3\/2 + 5*m. Give w(n(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {s: 4, e: 3, x: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*b + 221822 + 166618 = 0. What is b rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -2*i - 3*z, 5*i + 2*z + 97 = 4*z. Let h be 498\/105 + -4 + 3\/i. Which is the nearest to 1? (a) -3 (b) -0.4 (c) h (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46\/204993 or 0?\nAnswer: -46\/204993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/2 - 3874171*d**2 - 7504588846094*d + 45027672546828.\nAnswer: -(d - 6)*(d + 3874174)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 440 = -0*l. Let j = -55 + l. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k**4)\/k**10*k**(10\/3)\/(k**(1\/9)\/k) assuming k is positive.\nAnswer: k**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.34 + -1.198. Let t = l - -0.858. Which is the fourth smallest value? (a) -3 (b) 3 (c) t (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - -122102100?\nAnswer: 122102211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 719 + -721. Which is the closest to 0.1? (a) u (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 12. Let d be x(6). Let g(l) = -l - 7. Let z be g(-12). Let j be (-2)\/(2 + -1) + z + 0. Solve -j*c + d - 15 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, -9, -21, -39, -63?\n\"Answer: -3*j**2 + 3*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f - f)*(-1 + 1 + 1)*(22518*f**2 - 12732*f**2 - 12564*f**2)*(2*f + f - f).\nAnswer: -11112*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**2. Let l(f) = 6*f + 4. Let y(b) = 5*b + 5 + 2*b + 0. Let r(v) = -5*l(v) + 4*y(v). Calculate r(g(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbppyxbeebbbbbxeepb. What is prob of sequence pb?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 - 43*g - 12. Is f(-13) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from rkoiy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2 = -u, 2*u = 3*p - 8 - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3504384*z**2 + 5219136*z + 1943236.\nAnswer: 4*(936*z + 697)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-66 - -78 - -20)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 206*q - 111*q - 113*q + 136026. What is the thousands digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 14*t - 30. Let k be g(6). Suppose -3*x + 87 = 3*s, 52 = 2*s - 0*x - x. Calculate the greatest common factor of s and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -147*s**2. Suppose -14*r + 16*r - 6 = -2*g, -4 = -4*r. Let p(l) = -101*l**2 + 59*l**g + 44*l**2. Give p(q(m)).\nAnswer: 43218*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 6, t: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -1\/28909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzggl. What is prob of sequence zl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 11*v**2 - v - 10. What is the smallest common multiple of 9 and z(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**1))\/j)**(39\/5)*j**(1\/5)\/(j*((j*j**3)\/j)\/j*j) assuming j is positive.\nAnswer: j**(-97\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -161506.83 to the nearest 1000.\nAnswer: -162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 + 39\/9)*-6. Let d be (t - -1) + -2*6\/4. Let w(p) = 21*p - 2. Let x be w(2). What is the highest common factor of d and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 = k - 4, -k - 23 = 5*b. What is the biggest value in -0.1, -7, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17249 rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 22*a**3 + 287. Let d(f) = -2*f**2. What is d(m(c))?\nAnswer: -8712*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -72, -151, -248, -357?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*k - 3*i, 2 = k - i - 2. Let h = 39 - 37. What is the second smallest value in h, -3, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-2061) - 1460748\/(-450672)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 15*n**2 - n - 17. What is v(-15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 0*b + 2*b)*(-69*b**2 + 2 + 133*b**2 - 63*b**2).\nAnswer: -2*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 5*h**2 - 11 + (-3*h - h + 2*h)*(-2*h + 2*h + h) + 0 + 0 + 6*h**2 as m + x*h**2 + u*h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 94887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 8, t: 11}. Give prob of sequence xn.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = c - 20. Calculate the common denominator of (-2)\/c + (-1188)\/80 and 2\/(-9) - 1895\/(-90).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*k + 22, 2 - 5 = -4*q + 3*k. Let f(i) = i + 7. Let a be f(q). Suppose 0*p = 4*u - a*p - 4, -2*p = -4*u + 10. Solve -u*h + h = 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 987 rounded to the nearest ten?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a**3 - 5*a**2 - 4*a - 1. Let n(m) = 5*m**3 - 4*m**2 - 4*m. Let y(l) = -4*h(l) + 5*n(l). Let b be 3 - (-1)\/2*(8 - 6). Is 7 a factor of y(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 828*m - 7933 = 5506 + 34585 for m.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105361272 a multiple of 5958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 400663*h**4\/24 - 55*h**3\/3 + 242*h**2. Let l be s(-30). What is l rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -27. Let v = -10.43 + l. Round v to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 10*b**2 - 8*b - 5. What are the prime factors of m(-6)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (407*t**2 - 102*t**2 + 441*t**2 - 61*t**2)*(4 - 4 + 1) as v + j*t**2 + a*t and give j.\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/5, -1, 1, -14, 3.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -647425*k**2 + 18. Let o(y) = y. Calculate s(o(w)).\nAnswer: -647425*w**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 2. Let t be b(2). Suppose 0 = t*n + 2 + 2, -q = -2*n - 8. What is the second derivative of 2*f**q - 3*f**5 - f - 2*f**4 wrt f?\nAnswer: -60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/16 + (-5)\/8. Which is the second smallest value? (a) q (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 + 10*d - 7. Is t(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2656844 is divided by 91614?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008282973 to 7 decimal places.\nAnswer: -0.0008283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2802945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 11:20 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -205213*g**2 - 136113*g?\nAnswer: -410426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002054 to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -1 - 0, 4*s - 647 = -q. Is 25 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2419 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 271*k**2 - 1596*k - 1602. Calculate f(-265).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - 71.9865. What is m rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 205*f**4 - f**3 - 19*f - 118748 with respect to f.\nAnswer: 820*f**3 - 3*f**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.165+611\nAnswer: 611.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010610 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41364.973717 - -41365. What is o rounded to 3 dps?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 5*n**2 + 4*n + 4. Let r be o(4). Suppose 4*u - 21 = -3*i + 261, 4*i + r*u = 380. Suppose -2*k = -i - 60. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 502762105 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + sqrt(605)*-6)\/sqrt(11))\/(sqrt(1210)\/sqrt(2)).\nAnswer: -5*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*t = k - 23, 1 = 2*k - 5*t. What are the prime factors of (k\/((-56)\/35))\/(2\/(-8))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -32. What are the prime factors of v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + -32244010?\nAnswer: -32243440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 4*b - b**2 - 3 + 2*b**3 + b**2 - 3. Let z(h) = 4*h**2 - h + 1 - 3*h**2 + 0*h**2. Let u(m) = -y(m) - 2*z(m). Determine i so that u(i) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437*m + 429*m - 1267*m + 396*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 2*n + 46, u + 52 = 3*u - 4*n. Suppose u = 2*v - 3*z, 4*v - 5*z - 40 = 28. Solve -3*b = 2*w - 0*w - 13, 3*b - 3*w = -v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244927 minus 30422626?\nAnswer: -30667553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*g**2 - 23*g - 5*g + 12*g + g**3 + 4*g**4 + 13*g as c*g + s + h*g**2 + x*g**4 + r*g**3 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 5*a**2 + 284*a - 94. Give n(-57).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2\/5 (c) -1 (d) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -340406318 to the nearest one million.\nAnswer: -340000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 5*d**2 + 6*d + 42. Determine n(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12275 + 12285. Put 5, -31, -5, v in descending order.\nAnswer: v, 5, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 164 + 144 = 0 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -31335 (base 6) to base 9\nAnswer: -5725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*5)\/((-804)\/1206)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 8*z**2 - 7*z - 1. Let t be q(-7). Is 2\/169 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, m: 3}. Give prob of picking 1 m and 3 r.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a. Let v(y) = 52*y - 1818. Let q(l) = 329*l - 10908. Let w(n) = -6*q(n) + 38*v(n). What is w(o(m))?\nAnswer: 2*m - 3636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36*(-27)\/432)\/((-3)\/(-16))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w - 23. Let d be i(-4). Suppose -5*b + d = -x - 4, 0 = -4*x + 5*b - 21. Do -30 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 783 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -1, -26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/37 (b) 0.3 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((3 + (-132)\/45)*-157286)\/(-2). Let x = -5246 + z. What is the common denominator of 52\/3 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 74003428?\nAnswer: 370017140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((1 + 3)\/(-4))\/(2\/(-442430)*5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5632*z. Let j(a) = -40541*a. Calculate r(j(p)).\nAnswer: -228326912*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 6 = 4*x. Suppose 513 = x*b - 5*p + 62, 2*p = -5*b + 1171. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134787187 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -2*j + 2*m, 113*m = 109*m. Solve -j*k + 9*f - 40 = 5*f, 6 = 2*k + 2*f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x + 21. Give q(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1372 - 15\nAnswer: -1387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*l**5 + 7*l**5 + 106*l**4 + 16*l**2 + 9*l**5 - 108 + 108 + 9*l wrt l.\nAnswer: -240*l**2 + 2544*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -346 + 348. Solve -s = 5*m - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*y + 27, -4*y + 2*y - 8 = 0. Let p(a) = a**2 - 8*a + 7. List the prime factors of p(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-one fifths of a milligram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + m - 39, -c - 5*m = -3*m - 18. Let a = -8 + c. What is the remainder when 23 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61 + 0?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 2293.\nAnswer: 22\/2293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**5\/60 + h**4\/12 + h**3\/6 + 6*h**2. Let f be v(0). Solve p = -0*p + f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2 = 3*x - 0, 5*o = 20. Suppose 2*k + 3 = -1. What is the units digit of 9 - 3\/x*k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8353*k**3 + 5*k - 636. Let z(p) = -4176*p**3 + 2*p - 254. Determine 2*g(l) - 5*z(l).\nAnswer: 4174*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkrhqua. Give prob of picking 1 q, 1 u, and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3\/3 - 280*q**2 + 50511*q - 7840166\/3 = 0.\nAnswer: 113, 614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 - 76*r**2\/9 + 328*r\/9 - 112\/3.\nAnswer: -2*(r - 2)**2*(r + 42)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24632, -24631, -24630, -24629?\n\"Answer: j - 24633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20971 and 86701?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 37644 divided by 4\nAnswer: 9411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 8*n + 5. Let a be s(-7). Let f be (-69)\/a - (-3)\/4. Put -3\/4, 0.3, f in ascending order.\nAnswer: f, -3\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1185916 + 1839916. Suppose -8*r - o = -2*r. What is r rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 52 - 16. Suppose -4*o - 8*g + 13*g = -7, 2*g = -3*o - h. Which is the nearest to o? (a) 0.02 (b) 0.3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*s**4 + 12*s - 12*s + (0*s - s - s)*(3*s**2 - 3*s**2 + 5*s**3) to t + i*s + o*s**2 + v*s**3 + q*s**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -669750 + 669987 for w.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 36. Let p(k) = -k**2 - 13*k - 18. Let l be p(-9). Find the first derivative of -9 + 9*v**2 + 5 - i - l*v**2 wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 3:40 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115475?\nAnswer: 5, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10 - (-192)\/18 - (-10)\/(-6). Which is the closest to 1\/2? (a) 1\/15 (b) h (c) 0.5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69407981.\nAnswer: 347, 200023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.83 or -239?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/12 + ((-1)\/(-4))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 2:01 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 312, 311, 310?\n\"Answer: -q + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -35 and 3.33?\nAnswer: 38.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 348585 and 185912?\nAnswer: 2788680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.4 (b) 3 (c) -6\/551 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 15) to base 3\nAnswer: -10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 357 or -1108057?\nAnswer: -1108057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.35 times -5?\nAnswer: 456.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 385 = 492. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p - 6. Give v(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 611654086*u**4 - 677426129*u**2.\nAnswer: 14679698064*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*s + 9 + 16 = 0, 12 = -3*s. Calculate the least common multiple of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/56 and 109\/176.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4732 - 2162. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + q + 5 = 0, -5*i + 0*q - 25 = -2*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u + 37180260. Let k = 19354512 + u. Let v = 15659447 - k. Round v to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -5 + -83 - (923 + -951)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -114614742 rounded to the nearest 10000?\nAnswer: -114610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (24 - 2) - (-2 - 2). What are the prime factors of ((-1)\/(w\/(-440)))\/((-2)\/15)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28885 = 544*w + 20619 for w.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -50 - (-202 + 129)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 3*f = 2*f + 12, 2*z = 3*f - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.01999981 - 0.02. Round v to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1584036\/205 + -7727. Calculate the common denominator of p and 26\/25.\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6890, 7083, 7274, 7463, 7650?\n\"Answer: -v**2 + 196*v + 6695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 635\/20*((-30780)\/95)\/(-81)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 6. What is the least common multiple of h and 153?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 10, 5*r + m - 670 = -0*m. What is the highest common divisor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-2106)\/52 - -41)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b4b81 (base 12) to base 14.\nAnswer: -62385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2958 in 0.3, 0, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 20853.92 to the nearest one hundred.\nAnswer: 20900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2849 + 20*a**2 + 0*a**2 - 3002.\nAnswer: 20*a**2 - 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 6*z**2 - 2*z - 5. Suppose 18*p + 155 = 47. Give i(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193580729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-106)\/(-3))\/(14\/21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4608 divided by -227?\nAnswer: 4608\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1677.\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgqm when four letters picked without replacement from qmgmggmq?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 697*t + 98211. Determine u(-196).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u**2 + 13*u + 5. Let l(g) = -7*g**2 - 14*g - 2. Let y(m) = 7*l(m) + 6*x(m). What is y(-17)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 0.3. Let j = -2\/133 - 125\/532. Sort j, -1, v in ascending order.\nAnswer: -1, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b - 1. Suppose 16 = -17*y - 16*y + 17*y. Give p(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 - 4*y. Let f(o) be the second derivative of -o**3\/3 - 7*o**2\/2 - 17*o. What is the remainder when i(2) is divided by f(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -17.26. Let s = 0.26000044 - v. Round s to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-10))\/(2\/(-4)*-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 0.5483907.\nAnswer: -3.4516093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/(-12 + 476\/21 + -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53\/2 + 27. Let h(v) be the first derivative of v + 2 + 1\/3*v**3 + i*v**2 - v**4. Calculate h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 52, 89, 162, 283, 464?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -4*o - 3, -4*d + o = -0*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000235502161 to 7 dps.\nAnswer: -0.0000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 9*n + 19. Let v be x(6). Suppose 0 = 4*m - 3*a - 39, -a + v + 0 = m. Solve -m*l + 3 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -29*o - 5. Let c(i) be the first derivative of -29*i**2\/2 - 6*i + 4537. Give 4*c(k) - 5*w(k).\nAnswer: 29*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuxuuuxuuuuxu. Give prob of picking 2 x.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/81978 and 26\/3.\nAnswer: 81978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 - o + o)*(-2*o + 2*o + 2*o**3) - 4*o**5 + 3*o**5 + 2*o**5.\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*o + 9*o**2 - 1 + o**3 + 43*o + (-7 - 7*o + 7)*(-3*o - o**2 + 3*o) to f*o**3 + k*o + q + t*o**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001338 to 5 decimal places.\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c - 23*c = -3*y - 13, 0 = 2*y - 4*c + 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*q - 3348 = -1620 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 61078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -1\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1867225 divided by 3931\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2*12\/(-2). Suppose -h = -d*r + 3, r - 6*r + 19 = 3*h. Let n(w) = 0*w + 2*w + 12*w - 7*w. Calculate n(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*y - 5, -17 = -13*y + 9*y + s. Let i(v) = v**2 - 7*v + 4. Determine i(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-1)\/2*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*l - 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -366795, -733557, -1100319?\n\"Answer: -366762*c - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:43 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 11. Let y(o) = -2. Let x(s) = t(s) + 3*y(s). Let k be -1*1*21\/(-7). Let u = 2 + k. Let f(c) = 3*c + 9. Calculate u*x(a) - 3*f(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 2333738576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 37*x - 248. Let y be u(-43). Let p(r) = -r**3 + 10*r**2 + r - 11. Give p(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 22*q - 2. Let c be v(8). Is c > 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1538840609 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(2 + 2) + 0. Let g be 44*(10\/8 - s). Suppose 25 = 2*o - g. What is the greatest common divisor of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -10303003?\nAnswer: -10303000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2451 + 1512 - 603 = 480*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(720) - sqrt(720)*-1).\nAnswer: -96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100433432?\nAnswer: 2, 11, 1141289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29\/3 + 107\/12. Suppose 2*v + 50 = 7*v. Let b = v + -11. Is z at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a533d (base 16) to base 4.\nAnswer: -2211030331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 16*i + u + 6 = 0, 5*i - 17 = 2*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/105*(-1)\/4*(-1000)\/(-8200)*-2?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*s**3 - 127*s**2 + 14*s**3 + 142*s**2 - 1 to t + l*s**3 + x*s + q*s**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174384 divided by -504.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 1. What is the tens digit of (-5 - -6)\/(t\/11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + f - 2*f)*(-1 + 1 + 2)*(-2 + 16 + 2)*(-3 + 3 - 4).\nAnswer: -256*f","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -4*k - 2. Let l(d) = 7*d + 2. What is 2*b(h) + 3*l(h)?\nAnswer: 13*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 1:21 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -149.54 times 1.39\nAnswer: -207.8606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/8 + 279*x**2\/8 - 793*x\/2 + 1305\/2.\nAnswer: (x - 9)*(x - 2)*(x + 290)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((3*(sqrt(3) - sqrt(3)*-1) - (-5 + sqrt(6)\/sqrt(2))) + 5 - (-1*(1*sqrt(363) + sqrt(363)) + -5)))**2*4.\nAnswer: 3672*sqrt(3) + 9904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**5\/20 - 7*z**4\/12 - z**3\/6 + 4*z**2 + z - 71. What is r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 112, -3\/4 in ascending order.\nAnswer: -7, -4, -3\/4, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16510, 16512, 16514, 16516?\n\"Answer: 2*b + 16508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g + g + 0*g + 3 + 9*g**2. Let a(d) = 2. Let q(y) = -y**2 - 5. Let f(b) = -5*a(b) - 2*q(b). Determine f(o(m)).\nAnswer: 648*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323 (base 14) to base 13.\nAnswer: -388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76867 + -4.\nAnswer: -76871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2505012515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 941741000 rounded to the nearest 1000000?\nAnswer: 942000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -92 - -165. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l + 2*l)*(0 - 3 + 1) + (15*l - 23*l + 13*l)*(4 - 2 - 18).\nAnswer: -86*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 4, -93, 2\/13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1074.252ml?\nAnswer: 1.074252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggzz. What is prob of picking 2 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/11 (b) 775 (c) 2 (d) 2\/5 (e) 0.5 (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*g = -46*g - 52*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4014 (base 9) to base 8.\nAnswer: -5561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5503639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(13) + sqrt(208)))**2*-2 - (sqrt(78)*1*5)\/sqrt(6) - ((sqrt(78)\/sqrt(3)*6)\/sqrt(2) - ((-2*sqrt(260))\/sqrt(5))\/sqrt(4)).\nAnswer: -23400 - 13*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71432441 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2621381?\nAnswer: 7, 374483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -c + 306, -3*c + 2*c + 300 = -3*o. Let h = -273 + 65. Let z = c - h. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 55417 - 5?\nAnswer: 55412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = 39. Suppose -2*n + 7*n - o = 0. What is the first derivative of 4*z**n - z**3 - z**3 + 5 + 0 wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002818591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -124*j**2 - 16*j - 2. Let o(s) = -61*s**2 - 8*s - 1. Let k(c) = -9*o(c) + 4*p(c). Find the second derivative of k(z) wrt z.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -71297, -142591, -213895, -285209?\n\"Answer: -5*z**2 - 71279*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5139, 5229, 5331, 5451, 5595?\n\"Answer: h**3 + 83*h + 5055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -9*v + 3. Let y be p(0). Solve 4 = 3*k + 4*t + y, -4*t = -4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*s - 10 - 9, 5*s - 4*h = -130. Let a be 1 - 5 - (s - -6). Solve 2*p + 10 - a = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 144857*b**4*q - 2*b*q - 189*q + 10396 wrt b.\nAnswer: 579428*b**3*q - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 4582333.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 314 - -41444?\nAnswer: 42313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 42*y**2 + 3*y + 10. Let j(h) = 41*h**2 + 2*h + 8. Calculate -5*j(n) + 4*r(n).\nAnswer: -37*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -2, 0, 0, -2, -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6566, 13139, 19718, 26303?\n\"Answer: 3*k**2 + 6564*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bduuwuqubd. Give prob of sequence uuq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80467, -160927, -241387, -321847, -402307?\nAnswer: -482767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4700 divided by 1?\nAnswer: -4700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 u when three letters picked without replacement from euuxbuuuubuubuuuuux?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13\/12 - -301\/300. Let f = r - 19\/75. What is the nearest to 1 in -2, -3\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/11)*h*h)\/(h\/(h*h**1\/h))*h**(-2)\/(h\/h**(-6)) assuming h is positive.\nAnswer: h**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 3*q - 3*l, 4*l - 64 = -3*q + 76. Suppose -q = 17*d + 7*d. What is the nearest to 0.04 in -5, d, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172\/56 + -3 + 30350\/(-543872).\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7150684063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 458354\/(-3060) + 1\/(-9). Let v be ((-1)\/(-1))\/(-1) - -151. Let h = g + v. What is the closest to -2 in -2, h, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 22, 42, 66?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -5 - (-36 - -7 - -32).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 2. Let c be g(0). Suppose -v + 15 = 5*h, -3*h + c*v + 0 = -22. Solve 3*w = 9*i - 4*i - 2, h*i + 3*w - 7 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**15*u\/((u*(u\/u**(-13))\/u)\/u) assuming u is positive.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29884870 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8200 and 615.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-36)*(-3)\/(-2). Suppose 12*a + 366 = 498. Put a, v, -0.2, 5 in ascending order.\nAnswer: -0.2, v, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.075 - -3.075. What is the smallest value in -1, -5, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 59. Let s(q) = -5*q**2. Let k(c) = -27*c**2. Suppose 32 = 6*b - 34. Let h(d) = b*s(d) - 2*k(d). What is h(l(z))?\nAnswer: -z**4 - 118*z**2 - 3481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -8) + 1 + (-9 + 5 - (1 + 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -642675 to the nearest 1000.\nAnswer: -643000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.131, -1, -960, 1, 2, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 2*q**2 - 18*q + 4. Let z be o(-4). Is -85 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9547092 divided by -2433\nAnswer: -3924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188177 is divided by 388?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, a: 6, w: 4}. Give prob of sequence ammw.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -512\/924749 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 6*o**5\/7 - 393*o**4\/7 - 240*o**3 + 762*o**2\/7 + 5058*o\/7 - 3753\/7 = 0.\nAnswer: -3, 1, 139\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 18*z**2 - 4*z - 10. Let c be i(-3). Let d = 167 - c. What is the second biggest value in -0.1, 2, -0.2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h + 157 = -563. Calculate the highest common divisor of 108 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 4. Let a be g(4). Let d = 30 - 7. What is the remainder when d is divided by a\/1 + 2*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 7*y**3\/3 - 2*y**2 + 5*y - 3. Let k be i(2). Suppose -3*f + 5*l - 7 = -2*f, -5*l = 5*f - k. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 22 = m, -m - 5 + 3 = g. Suppose -n = m*n. Suppose -w + 15 = -n*w. Solve -d = 4*d + w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23456328209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**2 + b + 8. Let v(n) = 2*n**2 + 5*n - 9. Let y be v(-7). Let i be 204\/y - 4\/(-18). Is z(i) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 6*d**2 - 2*d - 8. Let g be f(-6). Suppose 9*t - 80 = 4*t. Let v = -877 + 881. Solve -t = g*l + v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-9)*f\/((f\/(f*f**(-1\/2)*f))\/f))\/((f*f**(-1)*f)\/f)**(19\/4))**(26\/7) assuming f is positive.\nAnswer: f**(-169\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 7*m**2 + m - 2. Let j be i(7). Sort 0, -1\/11, j, 0.5.\nAnswer: -1\/11, 0, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/7*n**2 + 0 + 0*n - 2*n**3 + 6\/7*n**4 = 0 for n.\nAnswer: -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 - -67. Suppose -4*m + 62 = -3*c + w*c, 4*c - 26 = -m. Calculate the remainder when 41 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 194, 366, 538, 710?\n\"Answer: 172*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -1. Let t = -2 - w. Let m = -14.5 - -11.5. Which is the nearest to t? (a) 2\/5 (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 9:06 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, -6, -1.3, -5, -2\/7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6332 or -6338?\nAnswer: -6332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.021 - -0.01718. Round f to 4 decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(6\/(-12)))\/(36\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(288) + (sqrt(288) + -1 + sqrt(288))*-1)*-2*-1 + -1)**2.\nAnswer: -3744*sqrt(2) + 41641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108587, 108525, 108369, 108071, 107583?\nAnswer: 106857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = d, -3*g + 3 = 2*d - 5. What is the greatest common factor of g and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039024611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(448))*1 + (-3 + sqrt(448)*-1)**2) + 1 + (sqrt(112) + 0 + 1)**2 + 1.\nAnswer: -2633 - 328*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9150000*(-11)\/((-165)\/(-25)). What is z rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 354*r**2 - 897*r - 223014.\nAnswer: -3*(r - 109)*(r - 31)*(r + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 6*c**2 + 5. Let s(z) be the second derivative of z**4\/12 - z**3 + 5*z**2 + z. Calculate the remainder when s(7) is divided by f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*h**3*q**3 - 2*h**3*q**2*w - 129*h**3*w - 118*h**2*q**3 + 3*h**2*q**2*w + h**2*q**2 wrt h?\nAnswer: -60*q**3 - 12*q**2*w - 774*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-14) - (-8 - -4)\/(-28). Let r = -8 + 12. Suppose -4*m - 84 = -r*u - 0*m, n*u - 2*m = 64. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 2*w - 3*w + 21, w = -3*r + 13. Let z be 0 - (r + (-35)\/5). Let i be 6 + (-1)\/(-1 + 2). Solve 0 = m - z*y + 1, 8 = i*m + y - 3*y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8339267 to the nearest integer?\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -483.2 + 479.2. Put 0.4, 0.8, -117, d, 4 in increasing order.\nAnswer: -117, d, 0.4, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498491*o = 498263*o - 26 + 20318 for o.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 5*x**2 - x + 1. Suppose 744*t - 50 = 754*t. Calculate h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 e when four letters picked without replacement from {f: 5, t: 5, i: 5, e: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-3 - -2) + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 4, -1, 126?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -154 - 16*i + 65 + 62 with respect to i.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11551*a**5 - 2*a**2 - 6888 wrt a.\nAnswer: -693060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 + 1 = 0. Suppose 4*m = -4*i + i - 11, -m = n*i + 9. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -44. Suppose b*x - x = -4. Solve -w = x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4917, -9785, -14649, -19509?\n\"Answer: 2*x**2 - 4874*x - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000111000000101110 + 11?\nAnswer: 11000111000000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12*o + 8*o - 32 = 0, -3*s - 5*o = -8. Solve 2*p = s*p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -229515 + 1245515. What is y rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1545 + -33.6545. Let y = 33.012 + -0.012. Let o = h + y. Which is the biggest value? (a) 0.5 (b) 2\/5 (c) 1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -27. Let i be t - -13*2*27. Round i to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 8:17 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/(-38))\/7*(17 - 9)\/24*-3?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*n**5 - 1172*n**4 + 21488*n**3 - 153936*n**2 + 349632*n + 165888 = 0. Calculate n.\nAnswer: -2\/5, 6, 9, 12, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 163855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-54)*(-1)\/(8\/12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46052502 to the nearest integer?\nAnswer: 6786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 19*d**2 - 46*d + 81. What is b(21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 530 + 34. Suppose i*h - 5442 = 41*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 11:36 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 - (-12 + (5 - (1 + -12)))) - -103.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2380*h - 2380*h + 7199*h - 2429*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*z - 20, -z = 2*z + 6. Suppose 2*b + 6 = 3*j + j, 5*j - 2*b = 8. Let m(p) = -3*p**2 - 91*p**3 + 42*p**3 + 50*p**3 - 2*p - p**j. Give m(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/8 - 4309*h**3\/8 - 4648327*h**2\/8 - 13906227*h\/8.\nAnswer: -h*(h + 3)*(h + 2153)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 5:48 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -1 + 3, 0 = h - 3*u - 15. Let z be (20\/6)\/((-22)\/(-33)). Suppose d + 3 = 0, 19 = t - z*d + 2*d. Calculate the least common multiple of t and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96153 (base 11) to base 2\nAnswer: 100010001010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 11*f**3 - 1101*f**2 - 1031*f + 1360. Determine k(101).\nAnswer: -761","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.154 at least as big as 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -319276135*c*h**2 + c*h - 796120*c + 96*h - 1 wrt h?\nAnswer: -638552270*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309 = 18*u + 42*u - 711 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 5*o - 40 = 2*b, -2*o + 22 = -2*b. Let f be 2\/(-5)*(-15)\/o. Factor 2*s**4 + 0 + s**5 + 2*s**2 - 3*s**4 + s - 2*s**3 - f.\nAnswer: (s - 1)**3*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6352720?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -242 from -26627002652.\nAnswer: -26627002410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3.38.\nAnswer: 5.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*w + 81 = 29, 0 = -4*a + 2*w + 222. Suppose -2*i + a = 3*l, 3*l - 3*i - 81 = -0*i. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62946.17ng to tonnes.\nAnswer: 0.00000000006294617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*u + 74*u - 141*u - 31*u.\nAnswer: -126*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2598.431343 rounded to 0 dps?\nAnswer: -2598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/8)\/(24\/32). Let r be ((-5260)\/(-16))\/(i\/(-8)). What is r rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 961, 1183, 1539, 2017, 2605, 3291?\nAnswer: 4063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -11, -1, -2, 2.\nAnswer: -11, -2, -1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 7:03 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(sqrt(160)*2)\/(sqrt(15)\/(sqrt(3)*-1)))**2.\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10231303 (base 5) to base 2.\nAnswer: 10101000110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 426?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f - 2. Let c be l(-1). Solve 1 = 2*q + 4*s + c, 0 = -s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*n = 72*n + 71136. Suppose 5*m + 4*r - n = m, -5*m - r = -7394. What are the prime factors of m?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 40. Suppose 3*q - u - 51 - 18 = 0, 81 = 4*q - y*u. Is 23 a factor of ((-24)\/14)\/(q\/(-1932))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -860?\nAnswer: 3\/860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l - 5. Let g(q) be the first derivative of q - 5486. Determine d(h) + 3*g(h).\nAnswer: 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -280 + 279. Let w be 4\/2*2\/4. Let h = w + k. Solve 0 = 4*s - 2*m - 14, 0*s + 2*s + m - 9 = h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15922*f - 15823*f + 1216 = 28 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 259 - 259.13. Let u = o + 0.04. What is the closest to u in 0.3, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + 3*v - 61 - 9*v)*(v**4 - 9*v + 9*v).\nAnswer: -v**5 - 61*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*g - 5*g + 80, -y = -g - 26. Suppose 8 = -y*h + 24*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12271?\nAnswer: 7, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 66 - 10. What is the third derivative of -t*g**4 - 6*g**5 - 10693*g**3 - 81*g**2 + 10693*g**3 wrt g?\nAnswer: -360*g**2 - 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.271015842 less than -9?\nAnswer: 20.271015842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**3\/2 - 11159*q**2\/2 - 16742*q - 11162 = 0.\nAnswer: -2, -1, 11162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 + 77. Let l be 7\/3 - 4\/(-6). Suppose -7*t + h = -l*t. What is the least common multiple of t and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-780)\/117 + 14\/(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135\/4 less than or equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a decade in months?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2304 - 1670. Calculate the remainder when t is divided by 81.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 3 + (0 + 0 + 2)*(3 + 2 - 4) + 1 - 3 + 3 - 2 + 0 + 0 + (-3 + 8 - 3)*(-2 - 1 + 0))*(-v + 5*v - 5*v) in the form t*v + r and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5\/2, -1\/75, -10?\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6751300 by 1492.\nAnswer: -4525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*n - 21*n + 171 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**21*c*c*c\/((c*c\/(c\/(c*(c*(c*c\/((c\/(c*c*c*c**(7\/5)\/c*c*c*c))\/c))\/c)\/c))*c)\/c*c*c))**42 assuming c is positive.\nAnswer: c**(-5964\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohhhohhhhhhhho. Give prob of sequence hoo.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 17*s + 11*s - 76692. Calculate the highest common divisor of 33 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, 40, 1, -2, 0, 7 in increasing order.\nAnswer: -2, 0, 1, 2, 7, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, 2.\nAnswer: -5, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a*x**3 - 5238*a*x**2 - 26*a*x + 3*x**3 + 4641529*x**2 + 2 with respect to a.\nAnswer: -4*x**3 - 5238*x**2 - 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 7 = -0. Let y = 11 + p. Suppose 3*t - y*t = -13. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14945)\/252)\/(-7) + (-4)\/18. Does 7 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = v. Suppose 2*m - 15 = -v*m. Is m at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/6 - (-3 - 68\/(-24)). Which is bigger: t or 1\/786?\nAnswer: 1\/786","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 29624.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.054 + -0.474. Let g = y - 16.58. Let c = g + 16.75. What is c rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 8*d - 6. Suppose -2*i - 3*f = 27, -3*i + 2*i - 16 = 2*f. Let h be l(i). Suppose 4*w = -3*n + 9 + 5, h = n + w. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**3 - u**2 - 3*u - 5*u**3 + 2*u**3 + u**3 to the form p*u + x*u**3 + t + a*u**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p - 1. Let d(a) = 11*a - 3. Let n(b) = 4*d(b) - 9*x(b). Let k be n(-5). Suppose k*r = 9*r - 1001. What is the greatest common factor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -31*h + 324. Determine l(5).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.4228563 to 1 dp.\nAnswer: 26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**14)\/k**10*k**(-3\/2)*(k*k*k**(-2\/45)*k*k*k)\/k assuming k is positive.\nAnswer: k**(-1849\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 17*b**2 - 5)*(-42*b**3 - 62*b**3 + 15*b**3) + 5*b**5 + 0*b**5 - 3*b**5.\nAnswer: 1515*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 964 - 368 - 265 - 191 = 140*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r - 336 + 7*r + 334. Calculate i(13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*p - 13*p + 4*p**2 + (0*p**2 - 4*p**2 + 2*p**2)*(3 - 4 - 2) + (-4*p + 3*p + 0*p)*(3 - 3 + 2*p) as s*p**2 + b*p + v and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/270192 and 29\/16?\nAnswer: 270192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99 + 102. What is the closest to 1 in h, -0.4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-20129346)\/804)\/((-5)\/(-8) + -1)?\nAnswer: 2, 16691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47168 and 224986?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-7))\/2)\/(2\/(-8)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -144*c**3 - 6*c**2 + 2*c + 416. Let t(l) = -719*l**3 - 33*l**2 + 11*l + 2081. Let x(p) = 11*n(p) - 2*t(p). Find the first derivative of x(d) wrt d.\nAnswer: -438*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 13, l: 6}. What is prob of picking 2 l?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 400901 divided by -1435?\nAnswer: -400901\/1435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r. Let w be 44\/(-28) + (-9)\/21. Let m be 130\/26 + 1*w. Let y(s) = 4*s. Give m*u(k) - 5*y(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -78 (c) -44 (d) -0.5 (e) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*x - 39 = i, -5*x = -25. Let y(g) = -7*g - 20. What is the remainder when y(-6) is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2640 * -8.\nAnswer: 21120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 637*w**2 - 318*w**2 - 3 - 317*w**2. Let t(m) = -23*m. Calculate t(j(n)).\nAnswer: -92*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1926307.\nAnswer: 151, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -845 divided by -169\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6e (base 15) to base 2\nAnswer: -1101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 9:30 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a**2 + 849*a - 13. Let m(x) = 6*x**2 - 1697*x + 21. What is -3*m(d) - 5*r(d)?\nAnswer: -3*d**2 + 846*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 6*u**2 - 5*u - 1. Let f be (-1)\/(0 + 1\/(-5)). Let k(i) = -7*i**2 + 6*i + 1. Let h(m) = f*k(m) + 6*d(m). Differentiate h(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1181*o**4 - 7*o**3 + 9*o + 349. Let d(x) = -591*x**4 - 4*x**3 + 5*x + 175. Let w(z) = -7*d(z) + 4*j(z). Find the second derivative of w(u) wrt u.\nAnswer: -7044*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -50 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-8) - 24705\/(-1035)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/4*12\/15. Let c = 5 - t. Suppose -4*a + c*h + 163996 = 2*h, -2*h + 8 = 0. What is a rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + -28. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**2 - 9*p + 15. Let f(h) = -5*h**2 - 10*h + 12. Give -5*f(s) + 4*g(s).\nAnswer: s**2 + 14*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 895 a factor of 26291260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i**2\/17 + 86*i\/17 - 74\/17 = 0.\nAnswer: 1, 37\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -354 at most -373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*m - 2*m, 0 = -5*s - 5*m + 50. Suppose -11 = s*x - 6. Calculate the smallest common multiple of 27 and (2 - x)\/(-1 + (-4)\/(-2)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303, 659, 1013, 1365, 1715?\nAnswer: 2063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2214915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 857504.6 litres?\nAnswer: 857504600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 5*l**2 - 7*l + 5. Let i = 5 - 11. Calculate the remainder when 31 is divided by g(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -5*c**4\/8 - c**2 - 187. Let w(y) = -172*y - 2. What is r(w(i))?\nAnswer: 2580*i + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 5*q + 4*v - 8, -3*q = v - 20. Suppose 0 = 5*c - 81 + 11. What is the remainder when c is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 615.8333 to the nearest 10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (sqrt(363) - (sqrt(363)*1 - sqrt(363))*-6)) + (sqrt(243) - (sqrt(243)*-4 + -2))**2 + 0 + sqrt(243)*-3.\nAnswer: 186*sqrt(3) + 6079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**3\/3 - 2*r**2 - 4*r + 3. Let z be p(-3). Is -1 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12315314 divided by -61886?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + 3*i**5 + 0*i**5 - 2*i**5 + 0*i**5 - 2*i**5 + i**5 + (0*i**3 + i**4 + 0*i**3)*(2 - i - 2) - 3*i**5 + 0 + 0.\nAnswer: -4*i**5 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 102983471 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29706581*c**2 - 5017454*c**2 + 16931194*c**2.\nAnswer: 41620321*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -30374723 and 0.15368.\nAnswer: -30374722.84632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 202 - 445. Let l = k + 84. Which is smaller: l or 1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1072*t*y**3 - 4161*t - 1176*y**4 + 5*y**3 + 25590*y wrt y?\nAnswer: 6432*t*y - 14112*y**2 + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -g + 4*g - 2, 3*n + 2 = -g. Calculate the remainder when (1\/1*-21)\/(-1) is divided by -12*(-2)\/2 + g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 71. Let j = 6 - s. Let w = -1 - 1. Put j, 2, w in ascending order.\nAnswer: w, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 + 0.95. Let y = 2 - a. Let i = 19\/16 + -155\/144. What is the nearest to -3 in y, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -504745, -504746, -504747, -504748?\nAnswer: -504749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(204) + 3*2*sqrt(204))*5)\/((-1*sqrt(192) - sqrt(192)) + (sqrt(12) - sqrt(192)*2) + sqrt(12)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 143856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvwwvvwwwvvvw. Give prob of sequence www.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2494 and 294031?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10*15\/(-10) + 119. Put s, 1, -2 in decreasing order.\nAnswer: s, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.5 (c) 5 (d) 25 (e) 3\/607\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*z - 21763 = 129*z - 364*z + 1547 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/3 in 1, 782, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/3, -1\/11 in descending order.\nAnswer: -1\/11, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 616127.9 days?\nAnswer: 53233450560000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 2, e: 4}. What is prob of sequence eip?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 866 = -864 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1\/2595 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-22)\/(-110)*10\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 659*h - 653*h - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighteen fifths of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000025046 rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-1 + (-2 - -1)). Let m be (-5 + z)\/2 + 26. Suppose 0 = 3*x + 3*k + m, -x + 3*k + 13 = 5. Is -4 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in -18, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5343 - 2096?\nAnswer: -7439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - b + 2. Let v be n(4). Let d = v + -9. Suppose d = 10*l - 5*l. Solve -3*s - 4 = -l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 1. Let b = -16 + 28. Let s be 3\/7 + 88\/56. Suppose -6*n = -s*n - 4*y, 3*n - b = -3*y. Determine f(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5874, -10335, -13388, -15033, -15270?\nAnswer: -14099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**3\/9 - 232*h**2\/9 - 1742*h\/9 - 168 = 0.\nAnswer: -108, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3001*u**2 - 4*u + 4. Let j be f(2). Round j to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689647411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h + 4*h + 16*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 7417, 14828, 22239, 29650, 37061, 44472?\n\"Answer: 7411*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(-5)\/(-60)*-6*58. Is p smaller than -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2353 + -126397032892?\nAnswer: -126397035245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-455)\/(-10) + -3)*(3 - 5). Is (5 - n)*(-2)\/(-6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56567250 at least as big as -56567249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656365037.\nAnswer: 656365037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 6 - -6 - -9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14839 - 5780*j**2 + 14839 to y*j + n + v*j**2 and give v.\nAnswer: -5780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 222027 to the power of 1\/2, to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(1\/2))\/v)**(-18))**(20\/3)*(v*(v\/(v**(-2\/17)*v*v*v*v))\/v*v**(-2\/5))\/(v*v**0)**(-1\/51) assuming v is positive.\nAnswer: v**(-16132\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40803 is divided by 358?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p. Suppose 4*l = 2*i + 6, 5*l + 0*i = 2*i + 8. Let m(g) = 22 - 22 + l*g**2. What is h(m(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21 - 27?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28970952 - 28970952 - 80*t**3.\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Suppose 5*r - 5*v = -15, -99*r + 95*r + 2*v = 14. Sort r, l, 1, 3 in increasing order.\nAnswer: r, l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -21*k - 6. Let v(t) = -43*t - 13. Let f(s) = -9*o(s) + 4*v(s). Let i be f(-1). Let d = i + 29. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -13*f**3\/6 - 9*f. Let c(t) = -3*t**2. Determine c(j(k)).\nAnswer: -507*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-14))\/1 - 29238\/(-4956). Let s = -5\/118 + q. Let k = -140 + 195\/2. Calculate the common denominator of s and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26660487 + 226.9.\nAnswer: 26660713.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28795803 - 40638803. Round q to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4 = 3*u, -u = 24*w - 21*w - 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3809500 rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 16*k**2 + 5*k + 0*k - 3*k.\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -196452+0.4\nAnswer: -196451.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/3 + (-29 - 13)\/(-14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 (base 12) in base 6?\nAnswer: -1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -1030121030002?\nAnswer: -1030121030100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**3 - 6*m**3 + 11*m**3 + 7*m**2. Let y be h(7). Solve s + 4*s = y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0261 + 0.5261. Suppose -5*p - 43 = -3*z, 4*p - 3*z - z = -36. What is the nearest to p in -3, h, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3604)\/1802)\/(6\/(-4))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162 + -81. What is the highest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 + (-32 - -34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + 4*t - t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - sqrt(252)*4)\/(sqrt(80)\/sqrt(5)).\nAnswer: -11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2221700.\nAnswer: 1\/2221700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 893*l**3 + 1609*l**3 + 3418*l**3 + 402*l**3.\nAnswer: 6322*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*f + 264 = 0, 3*f + 168 = -x - 2*x. Is 12\/x + 346\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3834 and -0.79.\nAnswer: 3833.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 736702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1456, 1464, 1476, 1492, 1512, 1536, 1564?\n\"Answer: 2*p**2 + 2*p + 1452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162798, 162802, 162812, 162828, 162850, 162878?\nAnswer: 162912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**4\/12 + 11*r**3\/6 + 2*r**2 + 5*r. Let k be u(-11). Let v(c) = -2*c - 4*c - c + k*c. Let i(z) = -3*z. What is i(v(q))?\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/13, 5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 16 = -0*f + 4*f, -3*f = 12. Let j be (-4 + 8)\/(-4)*v. Are -15 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7 + n**2 - n + 3*n - 2*n. Suppose 2*g = 5*y - 104 + 84, -g = -5*y + 20. Give m(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8421.0327 plus 1?\nAnswer: 8422.0327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -74*z**5 + 8440*z**4 + 16638*z**3 + 7660*z**2 - 464*z = 0.\nAnswer: -1, 0, 2\/37, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**2 + 5. Let w = -75 - -79. Let r(l) = 8*l**2 + 11. Suppose -2*y + 3*m - 18 = 0, 3*m - 5*m = y + 9. What is w*r(a) + y*j(a)?\nAnswer: -4*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 1 + 18\/(-7). Let q = 722 + -129. Let d = -4145\/7 + q. What is the closest to -1 in o, d, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s - 140. Suppose -s = -5*g + 2*c, 3*g - 3*c = -8*c + 21. Calculate the highest common divisor of g and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72595.35 centimeters in micrometers?\nAnswer: 725953500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*16\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*n - 76, -7*n + 5*j - 115 = -12*n. What is the smallest common multiple of 16 and n?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**3\/5 - 12*w**2\/5 - 18*w\/5 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 3:30 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1020 times -727\nAnswer: 741540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93843 is divided by 93712.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (534\/(-165) - (1840\/253)\/20)\/((-3)\/(-20))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 15*y + 9. Determine k(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**2 + 0*r + 0*r)*((4*r - 3*r - 2*r)*(0 - 4 + 0) - 2*r + 4*r - 4*r) to the form k*r**3 + v + n*r + y*r**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 62, 100, 134?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cocakcoooco. What is prob of sequence ko?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1276 - -2?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11026, -43789, -98366, -174763, -272986?\n\"Answer: -g**3 - 10901*g**2 - 53*g - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-10)*30\/(-4). Suppose 2*t - o + 4*o - 192 = 0, -82 = -t + 2*o. What is the highest common divisor of t and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z = 27563 - 135947. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + e70?\nAnswer: e6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -141870*w - 3688616. Determine n(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4\/3, 5, -0.4, -0.1, -0.61.\nAnswer: -2, -0.61, -0.4, -0.1, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 66*z**2 - 517*z - 39130. Calculate w(-67).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*1*8\/1120*-8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 284148925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 324?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 537 by 1.\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4662862 - -13139.\nAnswer: -4649723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 518123441?\nAnswer: 11, 47, 1002173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900 = -238*l + 232*l. What is the common denominator of (-2)\/(-12) - l\/1530 and -30\/119?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 4 = 12, 2*l - 10 = l + 5*n for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhllhhlg. Give prob of picking 1 l, 1 g, and 1 h.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 8*o + 15. Suppose -23*l + 15*l = 248. Let j = -40 - l. Are j and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 - 61. Suppose -f*u = -4*d + 108, 5*d - 108 = -3*u + 43. Does 10 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(4\/(-27))*(-5)\/(30\/(-6))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -944 or -537284\/569?\nAnswer: -944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -10 + 4 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13.5 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = 4. Let k be 1*x + (-1 - -3). Is (k - -2)*10\/3 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5008 + 5?\nAnswer: 5014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t\/t**10)*t**(1\/5)\/t*(t*t*t\/(t*t**(17\/3))*t*t*t*t)**26 assuming t is positive.\nAnswer: t**(253\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -17378276.5 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 7. Suppose 0*i - 4*i - 24 = 0. Give l(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1934 + -9666\/5. Is -2222 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 1 + 497*x + 0 - 5958*x + 2.\nAnswer: x**2 - 5461*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8.5. Which is the biggest value? (a) 0.1 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - -29. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/2 - 3*h**4 - 5*h**3\/2 + 10*h**2 + 18*h + 8 = 0. What is h?\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - 3*t**2 + 94*t + 29. What is the thousands digit of o(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 6, 22, -23, -0.1.\nAnswer: -23, -12, -0.1, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**5\/20 - s**4\/3 + 2*s**3\/3 - 3*s**2\/2 + 17*s. Suppose 8*k - 4*k - 3*i + 32 = 0, -2*k - 22 = -3*i. Give p(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -4*b**3 - 3*b**2 + 3. Let q(w) be the second derivative of -49*w**5\/20 - 35*w**4\/12 + 35*w**2\/2 + 10*w - 30. Calculate -6*q(j) + 70*v(j).\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asskg. What is prob of sequence kga?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 20*v**2 + 782*v + 56. Determine m(-39).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 16*t**2 + 13*t + 21. Does 17 divide b(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -157*j**5\/30 + 85*j**3\/3 - 9*j**2 - 4*j. Let n(g) = -472*g**2 + 255. Let k(o) = -5*n(o) + 8*y(o). Differentiate k(i) wrt i.\nAnswer: -304*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 3*y**2 + 3*y - 2. Let x be f(-2). Let d be ((-15)\/10)\/(x\/(-8)) - -178. What is the highest common divisor of 70 and d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4729919 - -0.473. Round k to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 633621 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2\/y)\/y)**(2\/13)*(y*y**(-12)*y*y)\/y*y\/(y*y**(-11)*y) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 0 + 0*s + 0 + 5 - 2*s. Let k(j) be the first derivative of j**4\/4 - 3*j**3 + 5*j**2 - 11*j - 13. Let p be k(8). Give a(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f + 7. Let o(j) = -5*j - 42. Let v(a) = -3*a - 29. Let g(n) = -3*o(n) + 4*v(n). Give 5*g(q) - 7*k(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:13 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -7 + (-16 - -3) + -15.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 + 39 - 24)*(3*n - 5*n + 3*n) to g + i*n and give i.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.23 + -0.11. Let g = 314 - 318. Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 355 + 277. Is 631 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3951 by 14.\nAnswer: -3951\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -29*y + 17*y. Calculate the remainder when 1014 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -188.49847.\nAnswer: 18.849847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 60*w - 108.\nAnswer: -3*(w - 18)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 18749*z + 3854*z - 516*z - 1 - 92*z.\nAnswer: -z**3 + 21995*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -w - 0*w + 2*m - 59, 34*w + m + 40 + 55 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/8914 + -4469\/35656. What is the closest to 9 in f, 2\/7, -11\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70725 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 114867 to the power of 1\/2, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 3*k**5\/5 + 6*k**3 - 8. What is the third derivative of b(n) wrt n?\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 3*f - 10. Let q = -361 + 354. Let z(n) = n**2 + 2*n - 7. Give q*z(m) + 5*v(m).\nAnswer: 3*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33622*y + 4 = -33621*y. Solve 4*r - 19 = 1, -3*t - y*r = -5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/8 - 4221\/(-28). Let c = -114 + j. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -566408.95?\nAnswer: 2265635.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*((-65)\/15 + 5). Let k be -3*6\/6*q\/3. Suppose -k*b + 308 = -272. Calculate the remainder when b is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3327, -13259, -29831, -53043?\n\"Answer: -3320*f**2 + 28*f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 173569, 173558, 173515, 173422, 173261, 173014, 172663?\nAnswer: 172190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 26 = -2*f. What is the units digit of (-12112)\/f + (-7 - 744\/(-104))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-216))\/(1*(-1 - 0))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 42\/5 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34*784\/2499 - (-22)\/(-6). What is the second smallest value in j, 0, 5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22*a + 3*a + 12*a + 106 + 13*a + 2*a wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29861 and -1.\nAnswer: -29861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 24664835.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*o + 493, -2*y - o = 4*o - 503. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13128 and 22608?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - 2*y - y**2)*(149 + 893 - 59) as w + p*y**2 + m*y and give p.\nAnswer: -983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1997488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**3\/3 + 9499*u**2\/3 - 362369*u\/3 + 117623 = 0.\nAnswer: -9537, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 - 107. Let k be (-2)\/(-3) - (-15)\/(-9). Is k greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tttgttttgtggg.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34646040824 + -2.08.\nAnswer: 34646040821.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17)\/(17\/(-6)) - (-145564 + -7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -423645?\nAnswer: -423646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16422443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -92, -289, -660, -1259?\nAnswer: -2140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 14, r: 2}. What is prob of sequence br?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*g + 18, -j + 2390*g + 42 = 2365*g for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13853 (base 10) to base 3\nAnswer: 201000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b4 (base 16) in base 12?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**5\/4 - 10*m**4 + 395*m**3\/6 - 135*m**2 + 1418*m. Factor k(l).\nAnswer: -5*(l - 2)*(l - 1)*(l + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**2. Let v(g) = 199 - 359 + 7*g + 161. Calculate x(v(w)).\nAnswer: 245*w**2 + 70*w + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 12*n**2 + 18*n - 25. Give a(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -3. Let o(s) = 6 + 26*s**2 - 4 + 9*s - 27*s**2. What is the tens digit of o(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -13*x + 18*x. Let q = x - -13. Find the second derivative of 4*f - 3*f + 13*f - 11*f**q wrt f.\nAnswer: -66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2013 (base 5) to base 6.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-9)*3 + -32. Let d = -27 - f. Solve -3*h - 4*w = 10, -2*h = -w + d - 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260 divided by -420?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 6*m - 2. Determine a(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = 0. Which is the third biggest value? (a) -2 (b) -1\/3 (c) t (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1018, -965, -914, -871, -842, -833?\n\"Answer: -q**3 + 5*q**2 + 45*q - 1067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 12438240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eudwdnkw. Give prob of picking 1 u and 2 w.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 24*x**2 + 126*x + 3. Calculate the remainder when 1303 is divided by n(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 2*a - 36, 5*m + 38 = 4*a - 56. Calculate the common denominator of ((-438)\/(-8))\/((-18)\/6 - -6) and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + 388*o - 9022. Let l be t(22). Let v(z) = -20*z - 18. What is v(l)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1088 and 2792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47092864 a multiple of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -486, -2285, -5402, -9843, -15614?\n\"Answer: -t**3 - 653*t**2 + 167*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145020 by 5.\nAnswer: -29004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 0*l + 5*h = -11, -3*l + 3 = -3*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + ((-550)\/(-143) - (-4)\/26). What is the third derivative of 20*c**5 - 8*c**2 + 28*c**2 + l*c**2 wrt c?\nAnswer: 1200*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**3 - 27*u**2 - 3*u - 14. Calculate the remainder when 173 is divided by a(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 12. Let m = h - 0. Let y = -1 + -3. Which is the closest to -1\/2? (a) -5 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 141*x**2 - 462*x - 600.\nAnswer: 3*(x - 4)*(x + 1)*(x + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189451 and 276.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/4)\/(-30)*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16981585, -16981586, -16981589, -16981594, -16981601, -16981610?\nAnswer: -16981621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -757, -3044, -6863, -12208, -19073, -27452, -37339?\nAnswer: -48728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 45 - 65. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i - 2*i**3 + i**3 - 603*i**2 + 2 + 1207*i**2 - 601*i**2. Calculate n(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494*u = -491*u - 2265. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5686 - 21755.499?\nAnswer: -16069.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 1, -0.3, -0.4.\nAnswer: -4, -0.4, -0.3, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 6:05 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1347*r + 171699 + 34168 - 24022 = 0 for r.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 44. Let i = m + 32. Let u = i - 12.1. Is u at least 0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**3 - 3*n**2 - 16*n + 28. Let z be o(6). Let b = z + -709. List the prime factors of b.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4\/8*-454)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13193759 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 220 and 488840.\nAnswer: 488840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 208895*r - 2924524. Determine q(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 883494701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -94042, -94190, -94338?\n\"Answer: -148*c - 93894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - 12*39\/((-1755)\/60)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 156, 134, 90, 24?\n\"Answer: -11*g**2 + 11*g + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**2 - 40467498*w - 80934984 = 0.\nAnswer: -13489164, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110022 (base 4) in base 13?\nAnswer: -25b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221 + 20000020?\nAnswer: 13333133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 271522159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2842 - 2841.9. Which is the closest to 11? (a) 98 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 2. Let i be c(-3). Let x be 132\/5 + i + 4\/(-10). Calculate the highest common factor of x and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17535 and 6074124?\nAnswer: 30370620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*d - 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(78) - sqrt(78))*2)\/(sqrt(6) - (-2*sqrt(384) + sqrt(384))).\nAnswer: 2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6510 - 3588. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -8.7, -5 in decreasing order.\nAnswer: 3\/5, -5, -8.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(132) - (sqrt(132) + (-6*-2*sqrt(132) - sqrt(132))))*-2)\/(((sqrt(432) - -1*sqrt(432)*-4 - sqrt(432)) + sqrt(432) - sqrt(432))*4) + 5.\nAnswer: -5*sqrt(11)\/16 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5 - 9 = 0. Let d be ((-1)\/3)\/(l\/12). Suppose -t = -0*u - d*u + 220, -3*u + t = -329. List the prime factors of u.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2600.3*1.6\nAnswer: 4160.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -16*g**2 + 59*g + 9. Determine t(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141221715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1132\/6720 + 6624\/347760?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2482830 (base 9) in base 16?\nAnswer: -14a7e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2288\/132 - (-5472)\/(-648).\nAnswer: 80\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**3 - 4*i**2 + i + 4. What is the remainder when n(4) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/54 - (-4 - (-388)\/(-36)). Put 6, q, 0 in decreasing order.\nAnswer: q, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26)\/(-7) - (-6)\/21. Factor 7*s**4 - 4*s - 9*s**b + 5*s**3 + 2 - s**3.\nAnswer: -2*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, v: 1, k: 2, n: 1, z: 2}. Give prob of picking 1 k, 1 v, 1 n, and 1 s.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612)*1 - sqrt(612))*-2)**2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, -4\/149, 7, 2\/43, -1\/2?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -49, -259, -469, -679?\n\"Answer: -210*w + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 12:47 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1900)*-3*6)**2*6 + -3)*-1.\nAnswer: 18468003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 10. Suppose 9 + 10 = -o - 5*p, -4*o - 3*p = r. Let w(a) = -2*a**2 - 3*a + 5. Let x(c) = c**2 + c - 1. Determine o*w(n) + 3*x(n).\nAnswer: n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*y**2 - 4 + 4)*(-2 - 12*y - 33*y + 17*y) as z*y**3 + n + m*y**2 + r*y and give z.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (46 - 11) + -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, w: 6, g: 8}. What is prob of sequence wgkw?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose -4*b = -z + 22. Let t(a) = -11*a**2 + 16*a + 1. Let h(i) = -31*i**2 + 46*i + 3. Let x(c) = -6*h(c) + 17*t(c). Determine x(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -272133.524 to the nearest one hundred.\nAnswer: -272100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + 0 + 2 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 10:49 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6) - (-5271)\/24849?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 4, -260, -178.\nAnswer: -260, -178, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 271 - 181. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 971 - 230 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 58. What is the closest to -0.2 in h, 12\/13, 0.3, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (21 - 12) + (-1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1645*v - 448*v + 304*v - 50092 = 0 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*w + 11. Suppose w*p + 29 - 504 = 0. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 - 14*g + 46 - 15 + 15 - 7*g + (-3*g - 4 + 4)*(4 - 2 - 1) to o + j*g and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38299199 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2. Let h(n) be the first derivative of -4*n**3\/3 + 16*n + 139. Give u(h(p)).\nAnswer: 16*p**4 - 128*p**2 + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/6)\/((-4)\/(-2)). Suppose q = o + 4*o. Sort o, -3, 6 in decreasing order.\nAnswer: 6, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10862701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 10*v**2 + 5 - 4*v**2)*(2 - 2 - 1).\nAnswer: -6*v**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 10*t + 13. Suppose 128*f - 129*f = -t. Let i(r) = -14*r**3 + 2*r**2 - 1. Determine i(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (308\/(-24))\/(-11). Which is the closest to -0.1? (a) 0.4 (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-3 - (1 - 6)) + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 5:57 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*1*-1 - (sqrt(85)\/sqrt(5)*-4 - sqrt(17)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 490 - 483. Suppose -t = 5*q - 27, -4*h - 5*q = -1600. Calculate the lowest common multiple of 5 and h.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48598182?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*(1 + sqrt(1300)) + -2 + (sqrt(1300) - (sqrt(1300)*-1 - sqrt(1300))) + -6*(-2 + sqrt(1300)) + sqrt(1300) + -2*2*sqrt(1300))*4)**2.\nAnswer: 36864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225100032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59\/3 - -20. Let g(m) = -m**3 - 5*m**2 - m - 3. Let w be g(-5). Let j be w + 0 + 7\/(-3). What is the second smallest value in b, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.5, -3\/7, 156989?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, u: 1}. What is prob of picking 2 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9830 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 228 + -67. Suppose 2*l + 73 = b. Calculate the least common multiple of l and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -3 - 3) + 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67860722 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: Let p = 51103 + -51102.8500032. Let v = p + -0.15. What is v rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.02 * -0.2\nAnswer: -0.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 e when four letters picked without replacement from qeeeqqqq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from ggpjgplgjggg?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 5) to base 14.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 102*p**2 + 2745*p + 1. What is t(-22)?\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l**2 + 2*l + 21*l**2 - 10*l**2 - 6 as w*l + i*l**2 + o and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(208)*4 - (2 + 4*sqrt(208)) - ((sqrt(208) + 1*sqrt(208))*1 + 3*sqrt(208)*-3 + sqrt(208))**2.\nAnswer: -7490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 3*n - 24. Let d be a(-5). Let x = d + -13. Solve 3*i - 3*h = -0*h + 24, -3*i - 4*h = -x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -471 (base 10) in base 3?\nAnswer: -122110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -11*n**2 + n - 1. Let b(p) be the second derivative of p**5\/5 - p**4\/6 + p**3\/6 - p. Let r be b(1). Let c be (-1)\/(-1*(r + -2)). Calculate t(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 17*v**2 + 5*v - 15. Let a be c(-14). Suppose -217 = -8*p + a. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millennium in months?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.1 + 21.5. Let i = o + -14. Let v = i - -0.68. Round v to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 3*m**4\/4 + 7*m**3\/3 - m**2 + 98. Find the third derivative of v(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2 + 3*q - 27. Let h be r(6). What is the greatest common factor of 324 and h?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49457 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g. Let o be ((-18)\/(-12))\/((-3)\/(-2)). Let v(w) = w + 1. Let t(y) = 5*y + 3. Let l(m) = o*t(m) - 3*v(m). Calculate p(l(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*n - 38 = 5*w - 66*n, 2*w + 2*n + 1 + 31 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*x**3 - 93*b**2 + 2*b*x**2 + 96*x**4 wrt x?\nAnswer: 12*b**2 + 2304*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287807 is divided by 2640.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 3, 1\/2, -0.00283, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from ooyyoooooo?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13498, 56625, 128502, 229129?\n\"Answer: 14375*w**2 + 2*w - 879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 448 and 33728?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 - 2*i + 4. Let c(y) = -y**3 - 6*y**2 - 5*y + 9. Determine 2*c(l) - 5*d(l).\nAnswer: -2*l**3 + 3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**3 - 71*o**2 + 4*o - 449. What is the ten thousands digit of c(26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, y: 5}. What is prob of picking 2 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27320 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwxxwrxwrwwwu. What is prob of picking 1 u and 1 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 190 = h, t - 4*h - 6 - 53 = 0. Let z = t + -60. Suppose -z*o - 28 = -2*a + o, 0 = -a + o + 15. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 727205962*o**2 - 53367*o - 1435.\nAnswer: 1454411924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 7*l - 25, -22*i + 21*i = 4*l + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826783127 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - -240034304?\nAnswer: 240034325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 1097 = -1135. Let x = -361 + f. Calculate the remainder when 22 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from fpfppff.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 513229912 to the power of 1\/2, to the nearest integer?\nAnswer: 22655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*a - 0*t + 32, 4*t = 0. Let q(r) = 3*r + 8 + 4*r + 4*r**2 - a. Does 21 divide q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 11*d + 26, 4*d - 5*d - 14 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:04 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/492*1\/6)\/((-4)\/16).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**6\/120 - o**4\/24 + 55*o**3\/6 + 3*o**2. Let f be k(0). Calculate the greatest common divisor of 22 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 3 - 3)*(-v**2 - 3 + 3) - 3*v**4 + 0*v**4 + v**4 + (0*v**2 + v**2 - 3*v**2)*(-2*v**2 + 3*v - 3*v) + 7 - 2*v**4 - 7 + 4*v**4 + 2*v**4 + 3*v**4.\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qrqqqqqrqq.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472163802?\nAnswer: 2, 3, 11, 109, 65633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169.\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6200, 6172, 6104, 5978, 5776, 5480?\nAnswer: 5072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.052*-0.294.\nAnswer: 0.015288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4250352 divided by 708392\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 7:25 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9295025 is divided by 4647492?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9757?\nAnswer: 11, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 390218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4 + 838435*n**2*s**3 - 40150*n + 3*s**3 wrt n.\nAnswer: -12*n**2 + 1676870*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21070*f**3 - 3*f - 39431 wrt f?\nAnswer: 63210*f**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 811, 1690, 2669, 3748, 4927?\n\"Answer: 50*d**2 + 729*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249785.\nAnswer: 5, 49957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*i**3 + 6*i**2 + i**2 + 206*i**3 - 5*i**2 + 86*i**3 to the form p*i + v*i**3 + t*i**2 + y and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176*28\/(-448) - (1 - 92\/6).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 56, 427, 1054, 1943, 3100?\n\"Answer: r**3 + 122*r**2 - 2*r - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 - 29\/3)\/(53\/(-58353))?\nAnswer: 2, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760*k + 1902*k + 18272 = 0 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33823, 33501, 33179, 32857?\n\"Answer: -322*c + 34145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 9*h - 15. Give f(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -11 - (5 + -26 + 13 + 14)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -35*i**2 + 15*i - 15. Let a(k) be the second derivative of -3*k**4\/4 + 2*k**3\/3 - 2*k**2 - 11*k. Let z(g) = -15*a(g) + 4*f(g). Solve z(c) = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1460423282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 33\/3 - -3. Let k = c - -19. Suppose -2*n - k = -67. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -451 <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - 0 - (-726)\/143. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1534, 3004, 7540, 12074?\n\"Answer: -s**2 + 4541*s - 6074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s + 12*s + 0*s + 11*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l - 2*l + 4*l + (3 - 4 + 2)*(2*l - 1 + 1))*(-3 + 3 - 3*l) to the form m*l**2 + p + b*l and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 227169 and 587?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - h + 43 - 14, -21*j + 24*j = 35*h - 40*h + 201 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4758*y**2 + 423*y - 4745*y**2 - 211*y - 212*y.\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 1)*1*2. Suppose -2*i = -4*j + 34, 0 = -j + 3*i + 18 - 7. Let g = z + j. 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 -246130000 rounded to the nearest one million?\nAnswer: -246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6*t + 64516 = 8*t, -3*t + 12 = 0. What is the thousands digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238\/(-51) - 42\/(-14).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 3:42 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11.85087 * 0.15\nAnswer: 1.7776305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -4*x**2 + 0 + 1\/3*x**4 + 30*x - 2\/3*x**3. Suppose l(q) = 0. What is q?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 48329 and -175.2.\nAnswer: 48153.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 7*z**2 + 4*z + 2. Let x be g(4). Let v = -59\/2 - x. Let s be 10\/24*((-2)\/(-5) - 0). Put v, 4, s in decreasing order.\nAnswer: 4, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 6*m - 15*m - 48 = -3*d - 11*m, -3*d + 3*m + 96 = 5*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 42*l + 99. Give x(13).\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 17. Let x be h(-15). Suppose -2*n + 5*j - x = 0, 3*n + 3*j = -2*j + 18. Let f(r) = -r. Give f(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 7. Suppose w*k - 6*k + 140 = -2*b, 185 = 4*k - 3*b. Suppose 0 = -y + 5*y + 4*n - 216, -y + k = -3*n. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/191 in 0, -0.3, 0.0501?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(704) - (sqrt(704) + 1))**2 + (0 + sqrt(704)*-2)**2)*-5*3.\nAnswer: -42195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(72) - ((sqrt(72) + 2)*-1 + sqrt(72))))**2.\nAnswer: 384*sqrt(2) + 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*o**2\/7 - 125453*o\/7 + 27878\/7.\nAnswer: (o - 13939)*(9*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 68*x**2 + 91*x**2 + 61*x**2 + 0*x + 60*x**2 - 276*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Let t(d) = -2*d**2 + 2*d. Let z(k) = t(k) - 2*u(k). Suppose 3*v - 2*s = 10, -5*s + 3*s + 8 = 0. Let a(c) = 3*c + 0*c + v*c. Calculate a(z(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -20. Let j be 8\/56 - 40\/s. Suppose j*o - 3*d - 447 = 0, -5*o - 3*d + 741 = -28. Calculate the greatest common factor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/27*-3*1\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 84 (b) 0.04 (c) 4\/15 (d) -0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 5*l + 125, -70786*o = -3*l - 70787*o + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107684328 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61\/3, 0.1, -1\/5, 835.\nAnswer: -1\/5, 0.1, 61\/3, 835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 + -90. Let p = j + 13. What is the closest to 2 in p, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((32\/(-2))\/(-80))\/(22\/(-660))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -102, -246, -462, -756, -1134?\nAnswer: -1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 44. Let a be q(0). Let b be a\/(-12) - (-2)\/6. Let v(j) = 10*j - 11. Let o(t) = -12*t + 13. Let k(y) = 3*o(y) + 4*v(y). Give k(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m + 2. Let p(n) be the third derivative of 0*n + 1\/24*n**4 + 0 + 2*n**2 + 0*n**3. Determine -2*p(z) + t(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 5*g + 3. Let a be w(-4). Let h(p) = -29*p**2 + p. Calculate h(a).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*a**3 + 1618*a - 1618*a + 12 - 12.\nAnswer: -33*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is -2\/47197 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-15)\/(-6) + -2). Find the first derivative of 4*a**p - a**4 - 4*a**2 + 4 wrt a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3 - 17 = 0. What is the third smallest value in -3\/5, -1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 1. Let g(l) = -2172*l - 17. Let r(t) = g(t) + 3*s(t). Suppose -3*z = 33 - 15. Let a be r(z). Round a to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010101101001000000001010110 + -100?\nAnswer: 10010101101001000000001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-84)\/(-36))\/(2\/6). Let o be 38\/2*(-7)\/g. Is -19 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1429 - 766 - 6760*g**2 - 663.\nAnswer: -6760*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/((-1725)\/69))\/(((-4)\/(-3))\/(8\/(-12)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of 2\/245*k**7 - 4\/35*k**5 + 0*k**4 - 10*k**2 + 0*k + 9\/40*k**6 + 0 + 0*k**3. Factor q(f).\nAnswer: 3*f**2*(f + 16)*(4*f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4697, -4695, -4693, -4691?\nAnswer: -4689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 2\/3*p**3 + 3\/2*p**2 + 2 + 0*p. Let o be c(-2). Solve 3*g - x = x - 7, -o*g + 7 = x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 2*z**2 + 9*z + 10. What is o(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 = n + 9*n. Let k = -35 + n. Suppose k*s - 50 = 26*s. Calculate the highest common factor of 225 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4625 is divided by 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 371*h**2 - 3*h - 1?\nAnswer: 742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-8) + 340\/(-576). Let b = t + 1\/16. Factor 0 + b*v**3 - 2\/9*v**2 + 0*v.\nAnswer: 2*v**2*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-16)*((-20)\/(-3))\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 9 = -44. Let p(l) = -1 - m*l + 5*l - l. Let v be 5*(-2)\/(-10)*-4. Determine p(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 6 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 651017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.24 - 8.76. Put -0.4, -5, 0.05, d in descending order.\nAnswer: 0.05, -0.4, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23 + 714\/28)\/(3\/108*30\/2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-21))\/(1\/(-24)). Let i be (j\/102)\/((-6)\/126). Let m = i + 26\/17. Is m > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*(-12)\/(-9). Find the second derivative of -b + 2*b**4 - 19*b**k + 19*b**2 wrt b.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = b + 5, -b - 1 = 0. Which is bigger: 6 or o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -146, -959, -3156, -7427, -14462?\n\"Answer: -115*b**3 - 2*b**2 - 2*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 3) + (-33 - -32) + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1657820 by -331564.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006603408 rounded to four decimal places?\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 13, e: 1, l: 3}. Give prob of sequence ell.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1134*i + 23432 = -2650 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) -59 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -161880 divided by -710?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f + 498 + 8 = 62*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from affxqvvx. Give prob of picking 2 f and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 11:48 AM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 3*i - 1. Let m(y) = -y + 13. Suppose 0*j - 48 = -4*c - 2*j, 0 = 5*j. Let r be m(c). Calculate k(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3117\/13 + -240. Let k = 33\/26 - t. What is the common denominator of 65\/12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 x when four letters picked without replacement from vxvxxxqc.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 - 2*x - 2. Let h(u) = u**2 + u + 1. Let k(a) = 2*h(a) + s(a). Let m(p) be the second derivative of -5*p**4\/12 + 22*p + 2. Calculate m(k(i)).\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/8)\/c**2)\/(c*c**(1\/4))**(-3\/7) assuming c is positive.\nAnswer: c**(-103\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 115079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617)*1 - sqrt(1617))\/(sqrt(108) - (sqrt(108) - sqrt(108)*1) - sqrt(3) - sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**5\/60 - 55*a**3\/2 + 58*a**2 - 2*a. Let k be n(-13). Solve 3*m - 14 = -z, k*m = 5*z - 1 - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15606 + 15609. Solve -2*p + 4*s = 32, 3*p + 71 = i*s + 41 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25511?\nAnswer: 97, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 11*x + 16. Let o be g(9). What is the least common multiple of 14 and o - -1 - (-3 + -6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 21*l - 47. What is q(-20)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 35 = 5*t, 3*x + t - 10 + 1 = 0. Suppose x = f, -g + 5*f - 5 - 5 = 0. Let y be 2\/(5\/g - 0). Solve -w = y*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -146.\nAnswer: -145.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 37*v**2 + 103*v + 1011. Let u be a(-39). What is the highest common divisor of 2844 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -17\/5 - 1\/5*s**4 - 16\/5*s + 16\/5*s**3 + 18\/5*s**2 = 0.\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/11)\/f*f*((f\/(f*f**(-13))*f)\/f)\/f)**(-7)\/(f**3\/f**4*(f**(-1)\/f)**32) assuming f is positive.\nAnswer: f**(-195\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-2*-2)\/(-3*sqrt(11)*1).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 211 + -423\/2. Let q(d) = -d**2 + 9*d - 3. Suppose s = 13 - 4. Let r be q(s). Which is the closest to 2? (a) -0.1 (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47773280.\nAnswer: 2, 5, 298583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/8)\/(3 - (-13)\/(-4)). Let c be 1 + 10 + 5\/j. Solve 3*u - c = 7*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628395.9 months in decades?\nAnswer: 5236.6325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.22 and 1.61376?\nAnswer: 3.5825472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -7602?\nAnswer: 5\/7602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45789 is divided by 3813.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a microgram in nanograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 0*a**2 - 2*a**2)*(23 - 7 - 17)*(-4*a**2 + 4*a**2 + a**3).\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05261 to 3 dps.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1029438 and 5454?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/(sqrt(6) - -2*sqrt(6)) + (sqrt(35) + (sqrt(105)*1)\/sqrt(3) - sqrt(35)))*-3)\/((sqrt(7) - 2*sqrt(567))*3*5).\nAnswer: 4*sqrt(5)\/255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 950, 0, -1053 in increasing order.\nAnswer: -1053, 0, 950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 877.8 + -789. Let a = y - 89. Let h = -4 - 1. What is the nearest to -2\/3 in h, -2\/9, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23176 is divided by 190.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -3 + 10 - 1*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123975 is divided by 51?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 28 (b) 1.8 (c) 1\/4 (d) 5.64 (e) -1\/4 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -0*d + d. Let q(k) = -12*k**2 + 11 + 2*k - k**3 - k**2 - 2*k - k. Let n be q(-13). What is the greatest common factor of n and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o - 1. Let j(w) = -w - 3. What is j(b) - 4*x(b)?\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-7)*15\/25?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*t*z**2 + 12*t*z + 3*t + z**2 - z + 1125 wrt z.\nAnswer: -50*t*z + 12*t + 2*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*u + 3*j + 144, 56 = u - 5*j. Calculate the remainder when u is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6941400 rounded to the nearest ten thousand?\nAnswer: -6940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -101657 (base 12) in base 14?\nAnswer: -67919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3355 + (30\/3)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*s**3\/9 + 284*s**2\/9 + 2*s\/3 = 0.\nAnswer: -1, -3\/139, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 4*p = 250, -k - 4*p = 4*k - 3*k + 210 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.041 + 0.211. Let h = 312 - 307. Sort h, r, 2\/7 in increasing order.\nAnswer: r, 2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.981 to one decimal place.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 534, 493, 438, 363, 262, 129, -42?\n\"Answer: -f**3 - f**2 - 31*f + 567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 213*a + 25. What is the hundreds digit of u(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7557770357 and -0.4.\nAnswer: -7557770357.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 8*z - 20. Let p be j(-10). Solve 2*l - 3 + 1 = p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-3))\/(3\/(-12)). Let z = x + 51. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 189*n**4 - n**2 + 22 wrt n?\nAnswer: 4536*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 198*b + 2330. Determine s(-85).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4439.75077 to the nearest 10.\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -506.516 * -26\nAnswer: 13169.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12*k + 6. Let l(d) = -4*d - 35. Let t be l(-10). Let r(y) = 8*y - 2*y + 5*y + 7. Let p(b) = t*r(b) - 4*s(b). Differentiate p(m) wrt m.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10104 - 84. What is the thousands digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1613280801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 594 - -1315. What is the greatest common divisor of c and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 31*r**2 + 4 - 35*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106246161?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5675.9293 to the nearest 10.\nAnswer: -5680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9458, 8730, 7996, 7256, 6510, 5758, 5000?\nAnswer: 4236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 (base 11) in base 5?\nAnswer: 3103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, 19, -19 in decreasing order.\nAnswer: 19, 10, 4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2132, -2114, -2066, -1988?\n\"Answer: 15*m**2 - 27*m - 2120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*h**2 + 2 - 2)*(294*h + 260*h + 89*h) in the form v*h**2 + x + f*h**3 + z*h and give f.\nAnswer: 3215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6242 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.3 - -29. Which is the second biggest value? (a) -1 (b) 0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1704 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -98*w**2. Let a(k) = -k + 2. Let s(d) = -20*d + 50. Let b(n) = -25*a(n) + s(n). What is p(b(h))?\nAnswer: -2450*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - x - 262 = 0, -10*x + 8*x - 153 = -3*f. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2484 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10757 - -10751. Let g = 3.91 - -0.09. Which is the nearest to 2? (a) g (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (-42 - (-34 - -23)) - (-2 - -36).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.10599782 + -0.106. What is r rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 + p**3 - 8*p**3 - 3*p - 2*p**2 + 5*p**3 as g*p**4 + l*p + w*p**3 + b + i*p**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**7\/105 - 3*t**6\/10 - 31*t**5\/10 - 47*t**4\/3 - 44*t**3 + 9907*t**2. Solve w(p) = 0 for p.\nAnswer: -11, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-13))\/(-2 + 7 - 2)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**1)**(2\/137)*(o**(-6)*o)\/o**6 assuming o is positive.\nAnswer: o**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18549.57 + -18989.64072. Let h = s - -440. What is h rounded to three dps?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-6))\/((-1)\/66).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - 5*l**2 - 11*l - 20. Let w be r(-4). Suppose -3*q + 509 = -5*u, -11*u + 677 = 4*q - 16*u. Calculate the highest common divisor of w and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138 - -169. Suppose -77 = -5*h + 2*u, -2*h + 15 + 3 = -4*u. What is the remainder when b is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -8 - 22. Suppose 0 = -2*c - 21 + r. Suppose -2 = -f + 3. Sort 0, c, f in descending order.\nAnswer: f, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 13452 = -54*i. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (51\/17)\/(6\/584). Suppose 5*i + 1145 = -5*k, 3*k + v = 4*i + 1201. What is i rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 376997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 2313336?\nAnswer: 25446696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1265 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + (-222)\/24*-4. Differentiate z + 38 - o - 32 + 2*z**4 wrt z.\nAnswer: 8*z**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702842580 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127.0654 + -127. Let q = 0.06542152 - f. What is q rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*w**2 - w**3 + 13*w**4 - 121*w + 62*w + 2 - 18*w**2 + 60*w as m + v*w**4 + s*w + u*w**2 + f*w**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -547, -1098, -1649, -2200, -2751?\n\"Answer: -551*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 266203823 to the power of 1\/2, to the nearest integer?\nAnswer: 16316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**0)\/n*n)\/(n**(1\/5)*n) assuming n is positive.\nAnswer: n**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 223330202 (base 4) in base 2?\nAnswer: 101011111100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010121 + -1121010111?\nAnswer: -1200021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 23 = -2*j + j, 3*j - s - 19 = 0. Suppose i = -i + j. Determine r, given that -3*r**3 + 2*r**2 - r**i + r**2 + 3*r**5 - 6*r**2 + 4*r**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1796.\nAnswer: 1\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, -21, 5, -4.\nAnswer: -21, -5, -4, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 9 = 0, 7 - 12 = -2*a + b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 2*g - 5*g + (-6*g + g - 6*g)*(7 + 9 + 2))*(-2*g**2 + 4*g**2 + 2*g**2) as b + v*g + i*g**2 + r*g**3 and give r.\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (31 - (-22 - -15))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 204651?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c - 6. Let d(k) = 9*k + 12. Let f(b) = 3*d(b) + 7*t(b). Suppose -w = w + 4*s - 28, 3*w = -s + 27. Let l = w + -13. Determine f(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146.214 + -25?\nAnswer: -171.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1))\/t)**23*t*t**(2\/9)\/t*t\/(t*t**(-5))*t assuming t is positive.\nAnswer: t**(-151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2992*v = -14838 - 149722 for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002697962437 to seven decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 93335.31 litres in millilitres?\nAnswer: 93335310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -234 + 527. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**10\/120960 + g**9\/60480 - g**4\/6 - 3*g**2. Let s(v) be the second derivative of b(v). Factor s(z).\nAnswer: -z**4*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 275 - 275.02. Which is the third biggest value? (a) 4 (b) h (c) -0.3 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/25)\/(3\/(-15)))\/4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**3\/6 - 2*z - 21. Let q(r) = 501*r. Determine d(q(p)).\nAnswer: 501*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 h when two letters picked without replacement from {h: 1, i: 1, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + -6*(-2)\/(-4). Let z(g) = -2*g + 25*g**l - 31*g**2 + 3 + 17*g**2. What is the units digit of z(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.148 - 0.052. Which is smaller: n or 16?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 7) in base 4?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 8*m - 2363. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-4) + 4\/(-16). What are the prime factors of t - (1 - 0 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8636, -8638, -8630, -8606, -8560, -8486, -8378, -8230?\n\"Answer: f**3 - f**2 - 6*f - 8630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 286 = -5*d + 2*f, -5*d - 5*f + 295 = 0. Let h = d + -49. Solve -2*v - 5 + h = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 5. Let i(d) = -d**2 + 2*d - 4. Let j(t) = 3*g(t) - 4*i(t). Let b be j(-1). Solve -22 = -z - b*l + 3, -2*z + 5 = -l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31430, -62844, -94242, -125624, -156990?\n\"Answer: 8*j**2 - 31438*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c - -c?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4176241 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/((-1302)\/56))\/(4\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = -321*j + 319*j - 4*w, -5*w + 112 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/(l*l**(-2\/9)*l))\/l*l*l)\/l**(2\/13))\/(l**(-5)*l\/(l*l**0*l)))\/((l**0\/l*l**5*l)\/((l\/(l\/l**(2\/9)))\/l)**(-10\/3)) assuming l is positive.\nAnswer: l**(1636\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2815)\/(-1126))\/((70\/(-72))\/(-7))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 10085568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 6764468?\nAnswer: 20293404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6 and -0.21.\nAnswer: 5.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011010010 (base 2) in base 15?\nAnswer: -574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:27 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i - 4*i - 20 = -4*l, -3*l = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 904683?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 a factor of 48447378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 2, i: 1, w: 4}. What is prob of sequence ivv?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 13*n - 8. Let x be j(15). Suppose 4*m - x*m = -234. What is the remainder when m is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3325*p + 805319?\nAnswer: -3325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500137?\nAnswer: 11, 19, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 929 = 14*f - 1143. Suppose -5*s + u = f - 467, -4*u - 79 = -s. Calculate the remainder when 377 is divided by s.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163071.732 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 19*v - 26. Let p be k(21). Solve -18 - p = 3*x - 5*a, -22 = -x - 5*a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 7. Let v(k) = 7*k - 14. Let s(l) = 5*r(l) + 2*v(l). Let h be s(7). Sort -4, h, -5 in decreasing order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4*t = 3, 4*f + 207 = 4*t + 203 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -8. Let y = -0.266 - 100.234. Let j = y + 101. Which is the third biggest value? (a) 5 (b) j (c) x (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 179 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5439? (a) 3\/7 (b) 0.1 (c) -0.4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 5) to base 12\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, s: 6, f: 1, j: 2, c: 3, p: 1}. Give prob of picking 1 p and 1 j.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9916.47 years to millennia.\nAnswer: 9.91647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvgvvvvvgv. What is prob of picking 4 v?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 7*p**2 - 3*p + 6. Let m(x) = -x**3 + 15*x**2 + 16*x + 6. Let d be m(16). List the prime factors of y(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1 - 6*p - 6*p**2 - 6 + 6*p**3 - 7*p**3. Let s be x(-5). Solve s = -w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6249 is divided by 1243?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -4986*z + 5003*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(4\/7)*g**(18\/5)*g)**49)**(1\/28) assuming g is positive.\nAnswer: g**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**4\/6 - 25*r**3\/6 + 35*r**2 - 190*r\/3 + 100\/3 = 0?\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*n = 6*n + 546401. What are the prime factors of n?\nAnswer: 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**2 + 638238408*b = 0. Calculate b.\nAnswer: -159559602, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p + 1. Let f(a) = -a**2 - 11*a - 3. Let j(r) = -2*f(r) - 5*g(r). Calculate j(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627900 is divided by 308?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-1211*((-33840)\/(-70))\/(-4). Is 1\/4*2 + m\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 748215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/832 and (4\/(-6))\/((-34)\/(-6)) - 19664\/84864.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 321*v - 186. What is the units digit of a(38)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -252*f - 774. Let i be p(-3). What is the second biggest value in 2.2, -3\/7, i?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1694 = -186*n + 376 - 210 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3. Let p(b) = -b**3 - b**2 + b + 3. Let m be p(i). Suppose -y = 4*g + 249 - 263, 5*g = -3*y + 28. Put 5, m, g in decreasing order.\nAnswer: 5, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-27)\/(-18))\/(9\/(-12) + 0). What is the closest to -0.1 in t, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2661036937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 241769 + 71209 = 0. List the prime factors of s.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 381072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**5\/20 - d**4\/6 + d**3\/2 + 3*d**2\/2 - 5*d. What is i(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 243 + -61. List the prime factors of x.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 10 = s. Let a be -3*(-10)\/12*s. Let p(v) = v + 4*v + 2*v - a*v. Let d(u) = 3*u. Determine p(d(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -182.76 + -0.24. Let l = 472771069.9999909 - 472771253. Let y = l - t. Round y to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 217*m**2 + 2*m - 4. Let h be 100\/(-36) + 4\/(-18). Is o(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-241*m - 850*m - 984*m - 943*m)*(m + 2*m - 4*m).\nAnswer: 3018*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*z + 4*h = -25, -10947 + 11091 = 2*z + 3*h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -0.007, 5 in descending order.\nAnswer: 5, 4, 1, -0.007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91\/5 - -627\/35. What is the fourth smallest value in 2\/7, -1, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 10*r**2 + 6*r - 34. Let p(z) = -19*z**2 - 9*z + 69. Let s = -158 - -169. Let q(t) = s*u(t) + 6*p(t). Factor q(y).\nAnswer: -4*(y - 5)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19584)\/918*(-90)\/24.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43113 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.988169ug to tonnes.\nAnswer: 0.000000000004988169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 1, -9, 2, 5, -2030, 3 in decreasing order.\nAnswer: 5, 3, 2, 1, -9, -36, -2030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -210, -208, -206, -204, -202, -200?\n\"Answer: 2*r - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -2, 0.5, 201 in descending order.\nAnswer: 201, 0.5, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 319\/2*m**2 + 121\/2*m**3 - 64*m + 6.\nAnswer: (m + 3)*(11*m - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*u + 25 = -u, -5*i = 3*u - 40. Suppose 0 = -i*f + f + 28. Suppose f*c - 10*c = -120. Solve -4*o - 2*g - 26 - 4 = 0, -5*o = 3*g + c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e21 (base 16) in base 14?\nAnswer: 4437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 2*w + 3*w + 0*w + 3 - 2*w + 1 + 2*w - 4 + 4 + (1 - 6 + 4)*(-w - 1 + 1) + w + w - 4*w - 5*w + w + 3*w - w - 5 + 5 + w - 4*w - w + 0*w + 2*w - 4*w.\nAnswer: -6*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 466672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -522202332 or -522202334?\nAnswer: -522202334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/24, -0.3, 0.3, -18, -138 in ascending order.\nAnswer: -138, -18, -0.3, 1\/24, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 0*z**2 + 3*z - 1 + 1\/3*z**3. List the prime factors of w(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00237731883 to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 86820.56g?\nAnswer: 86820560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 - 452\/5. Which is the third smallest value? (a) v (b) 2\/9 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 293 + -249 + -19 + -5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 160 = 0, -2*b - 20 - 28 = -4*b + 3*g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*z + 14790 - 14790 in the form l + x*z and give x.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -5 - (2 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -0.14?\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13369506 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231278097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 2 (c) -0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-111)\/888)\/((-2)\/(-8)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3494 - 1934. What is the smallest common multiple of n and 6?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7)\/(-1)*(2 + 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -37 in descending order.\nAnswer: 3, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = -2*h + 15, 4*p - 7 = -h. Solve 1 = h*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -29, 172, -5, -0.2 in decreasing order.\nAnswer: 172, 0.3, -0.2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s*s\/(s**8*s)))\/s*s*s)\/s*s\/(s*s*s**(1\/2)\/s)*s)\/(s**(2\/15)\/(s\/(s\/(s*s**(-1)))*s)))**(-16) assuming s is positive.\nAnswer: s**(-2248\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 + 80. Solve 2*u = n*a - 2*u + 24, 5*a + 10 = u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m**2. Let u be 0 - (1 + -1*4). Let l(q) = -u*q + q + 4*q. Calculate l(t(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3.5. Let o = 1 + 3. What is the second biggest value in o, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126269 is divided by 138?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -4.1. Let v(y) = y**3 - 3*y**2 + 3*y - 1. Let z be v(2). Let j be (-2)\/((-18)\/25) + (-2 - z). What is the closest to -2 in k, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 4*y + 6*y - 102*y - 465*y - 324*y + (-y + 4*y - y)*(1 + 0 + 0))*(-3*y + 2*y**3 + 3*y) to x*y + j*y**3 + f*y**2 + i*y**4 + t and give i.\nAnswer: -1770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 190*p**2 - 191*p.\nAnswer: p*(p - 191)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 16*r**2 + 12*r + 37. Let n be ((-1236)\/112)\/(15\/(-20)) + 8\/28. Determine a(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14422720313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589794849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, m: 1, z: 1, h: 1, r: 2, u: 1}. What is prob of picking 1 h and 2 r?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -8 + 6 + 4 + -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -349? (a) 1 (b) 0.3 (c) -2\/7 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 5. Let g be u(-5). Let z = 0 - g. Is z > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5694357\/4852666 + -1\/49517. What is the common denominator of n and 61\/266?\nAnswer: 1862","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1169.251 rounded to the nearest integer?\nAnswer: -1169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10918314.\nAnswer: 2, 3, 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 4164 = 122*z - 324 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1 - 2*d)*(2*d - 4*d + 0*d)*(1 - 1 - 4).\nAnswer: -16*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/7 + 2*h**4\/7 + 14*h**3 - 26*h**2\/7 - 576*h\/7 + 72 = 0. Calculate h.\nAnswer: -6, -3, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 591181\/1843 - -7384\/97. Let s = u - 397. Put -0.4, s, 5 in decreasing order.\nAnswer: 5, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7802 and 2706166.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 2 - ((-1 - 12) + (29 - 32 - -19))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, -120, 4, 33, 2\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14246 is divided by 105?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-7\/3)))**(-1\/23)*(q**(-18))**(-2\/35) assuming q is positive.\nAnswer: q**(2729\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14 - (-300)\/(-7)) + 5277\/36939?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Solve 8*z**i + 4*z**5 - 5*z - z**5 + 10*z**4 + 0*z**5 - 2 + 2*z**3 = 0 for z.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((r - 4*r + 0*r)*(1 + 3*r - 1) - r**2 + r**2 - 3*r**2)*(-2*r**2 - r + r).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -34*b - 541. Let v be g(-16). Let s = -4 + 7. Differentiate -15 - s + 54*m**3 - 28*m**v with respect to m.\nAnswer: 78*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43740, -87398, -131056, -174714, -218372, -262030?\nAnswer: -305688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.648 + 0.848. Is x bigger than -17.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19391883*0.4\nAnswer: 7756753.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 98\/3. Is z not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1183314818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -189312360 divided by -18931236?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 358094370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/7 - 1)*(5 + -12). Suppose l*h + 0 = 5*c - 41, -24 = -3*c + 3*h. What is the remainder when 19 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -3. Let n = -6.14 - -139.14. What is the nearest to s in -1\/5, 3\/2, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12292 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 11*s + 18*s + 4 = 0. Let a(t) = 3*t**2. Let k be a(-1). What is the nearest to s in -1\/2, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7486 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 102768*q*u - 424*u + 54 wrt q.\nAnswer: 102768*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2500\/(-23))\/((-38)\/(-361)). Let o = -626687\/690 - b. Let v = 737\/6 - o. What is the common denominator of -5\/21 and v?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 760 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20053 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**3 + 9*j**2 - 6*j - 10. Let f be p(-6). Let g = f + 1517. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*v + 93*v - 18*v + 180*v**3 - 182*v**3.\nAnswer: -2*v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2945 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 573.6324km?\nAnswer: 573632400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - (1 - -5))\/((-2)\/14). Let a be -4 + (-4 - c) - -4. Suppose p = a*p - 8. Calculate the highest common factor of p and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*r - 13 + 2*r**4 - 5 + r**2 + 0 + 19 - 3*r**2 to the form c*r**3 + k*r + z*r**2 + v*r**4 + g and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.4 - 4.4. Let f = -912670616 + 912670628.99999886. Let j = f - y. Round j to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1560, 3103, 4616, 6093, 7528, 8915, 10248, 11521?\nAnswer: 12728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5182*z**3 - 9*z**2 + 2991732*z.\nAnswer: 31092*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -312891 (base 10) to base 12\nAnswer: -1310a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(4\/(-8))*(-2)\/(40\/(-6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 389365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/26? (a) 0.3 (b) -0.3 (c) 5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 7891 = 8001 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7*8\/(-84)*(-9)\/(-24)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 1. Let g(p) = -31*p + 2*p - 17*p - 4 + 1. Determine g(k) - 5*t(k).\nAnswer: -51*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u - u - 2 - 2*u - u**3 to n*u**3 + f*u**2 + a + s*u and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvpvvvpppp. What is prob of sequence pvp?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 24 + 4*c**2 - 5*c**2 - 3*c + 10*c. Let r be f(8). Differentiate -5 + r - 4 + 8*w**3 with respect to w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + y**2. Suppose -4*c = -c + 3*i + 18, -7 = -3*c + 2*i. Let x(p) = 2*p**4 + 10*p**3 + 6*p**2 - 4*p - 2. Let g(j) = c*x(j) + 6*s(j). Factor g(q).\nAnswer: -2*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 574020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 6\/268005995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3 = 2*t, -3*t - d + 7 = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153 - -172. Solve 21*l - s*l = -8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -13*h + 12*h + 1 - 2. Let c(i) = 2*i**4 - 6*i**3 + 4*i**2 - 6*i - 6. Let o(t) = -c(t) + 6*y(t). Factor o(p).\nAnswer: -2*p**2*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4553.69 + 4575. Let y = 21 - l. What is y rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y - 102*y = 8*y + 8978 for y.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - -35) + (0 - (1 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 214*g**2 - 2245*g - 813. Give q(-224).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9834 divided by -11.\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4\/7 + 2316*w**3 - 410332*w**2 - 2888532*w\/7 = 0. What is w?\nAnswer: -4223, -1, 0, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:44 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-2) - 3\/(-6))*-38. Suppose -50*u = -c - 93. Factor 0 + 16\/3*s**u - 3\/2*s**5 - 2*s**2 - 5\/2*s**4 + 0*s.\nAnswer: -s**2*(s + 3)*(3*s - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-24)*204\/119*248\/8\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2387753.84 + 6.12.\nAnswer: 2387759.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 - -137. Let f = -11 + 35. Let z = t - f. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 2)*(2 - 22 + 6)*(5 - 5 - w) to the form n*w + t and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14)\/(-4) + -1)\/(75\/600). Solve -7*p + x = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i - 2. Let h(s) be the second derivative of -1\/2*s**2 + 0 - 11*s + 1\/6*s**3. Calculate -6*h(y) + 2*l(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30917?\nAnswer: 43, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35*n**2 + 18827*n - 1121581?\nAnswer: 70*n + 18827","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 6*s**2 + 51*s - 16. Let z be t(-5). Solve 0 = -2*n + 2*q + z, -2*n - q = -2 - 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 5*v - 6 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052 a factor of 66864927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -29*p - 3. Let v = 2106 + -2062. Calculate the remainder when j(-3) is divided by v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 8:04 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 32\/(-4))*5. What is the greatest common factor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeceoemmmeceeeem. What is prob of picking 1 e, 1 m, and 1 o?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1966261 divided by -178751.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.4 at least 574\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 4. Let b be v(6). Suppose 16 = 3*r - b*r - 2*d, 0 = r + d - 1. Solve 0*a + r = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.99, 1\/4, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3105 and 37053?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 658169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/2 (b) 1.3 (c) 5 (d) 0.4 (e) 0.27 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 180831 - 180831.339962. Let a = 0.01 + 0.33. Let o = a + s. What is o rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 + 10 + 15 - 7) + 0 + -7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + t**2 - t - 1. Let u be y(-1). Suppose 0 = -d + 5*a + 56, -4*a + 84 = 2*d - u*d. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26992\/(-964)*3\/(-14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -13*y + 2. Give n(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-90) + 2\/15. Solve y = -4*d - 0*d - 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 19. Determine r(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 33 = -5*k - 1, 4*o - 56 = -2*k. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - (3 + 2 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -2\/57*s**3 - 1\/114*s**4 - 1\/19*s**2 + 0 - s. Factor x(y).\nAnswer: -2*(y + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -7*j - 19. Let q = -0.979 - -0.109. Let x = -2.13 + q. Which is the closest to j? (a) -1 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -69*a**2. Let s(p) = 7*p. What is s(i(m))?\nAnswer: -483*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4559.\nAnswer: 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14370.976 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 0)\/(-6)*4. Let h = 0.31 + -0.01. What is the biggest value in 4, y, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 277, 2\/3, 27915, 0 in decreasing order.\nAnswer: 27915, 277, 2\/3, 0.01, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13857\/188 - -5691381\/77080. Let q = i + -1\/205. Let g = 0.35 + 4.65. Which is the nearest to 2\/5? (a) -0.2 (b) q (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 3*u - 15, 13 = 5*l - 5*u + 3*u. Let p = -13 + 15. Let w = 5 + p. Solve -5*g - w = l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3351 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-176)\/2)\/(7\/(-119)). Suppose 3*r - 2*d = a, -4*r + 0*d - d + 2013 = 0. Suppose -12*c + r = -10*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h**5 - 2*h**4 - 50*h**3 + 8*h**2 + 8*h = 0. What is h?\nAnswer: -2, -1\/3, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 70*s. Let l(o) = -81760*o**2. Give u(l(b)).\nAnswer: -5723200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -11*o**5\/15 - 11*o**2. Let j(v) = 2*v. Calculate j(g(q)).\nAnswer: -88*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 39 + 30 + 122*j**2 + 124*j**2 + 4*j**3 - 241*j**2.\nAnswer: 4*j**3 + 5*j**2 + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 22*r**3 + 9*r + 8*r - 5*r**3 - 34*r**3.\nAnswer: -17*r**3 + 17*r + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 8*d = 0. Suppose -5*w + 25 = d, -3*t + 2*w = -3*w - 2. Suppose -3*x + 97 = r - 0*r, 5*r - 5 = 0. What is the remainder when x is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 1 + 1)*(0*o**2 - 2*o**2 + o**2) - o**4 + 6*o**4 + 2*o**4 - 1 + 2*o**4 + 1 + (-2*o**2 + 3*o**2 - 4*o**2)*(-o**2 + 0 + 0).\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:13 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2248.999367 - 2249. Round j to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7838517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 0 + 0*a - 1\/3*a**3 - 1\/24*a**4 - 24*a**2. Let u(k) = -7 - 1 + 11 + 4*k - 2*k. What is -5*u(i) - 7*w(i)?\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30917 and 123.\nAnswer: 3802791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.1+136\nAnswer: 134.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/3 + 3347*a**2\/3 + 26728*a\/3 + 17808.\nAnswer: (a + 4)**2*(a + 3339)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 500\/(-60) - -2.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 206 = -2*k + 4*k, z = -2*k + 108. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbtbttttttttt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15114\/8244)\/(1\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {q: 2, l: 1, x: 5, t: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36527553 by -9.\nAnswer: 4058617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 6. Let k = -3 - f. What is the closest to k in 0.4, -1\/11, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ena when three letters picked without replacement from {e: 1, n: 3, g: 8, j: 5, a: 3}.\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 5, -0.0767, 7\/8, -2, -3 in ascending order.\nAnswer: -3, -2, -3\/2, -0.0767, 7\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u + 4. Suppose -3*h + 26 - 5 = 0. Let s be (-2 - 2)\/(-3 + 5). Let x(m) = -3*m + 1. Give h*x(q) + s*k(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 + 4*v**2 + 46*v - 47*v as i*v**2 + g*v + u and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3 + 14176*y**2 - 56730*y + 42552 = 0.\nAnswer: -7092, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6 - 11\/(-3). Let v(k) be the first derivative of -k**4\/4 - 10*k**3\/3 + 11*k**2\/2 + 3*k - 18. Let w be v(-11). Is f at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 20, 151, 185, 5, 0.2 in increasing order.\nAnswer: -3, 0.2, 5, 20, 151, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*f - 285*f + 876. Let u(w) = -w**3 - 6*w**2 + 4*w. Let a be u(-3). Let p = a + 24. Put p, f, -3 in decreasing order.\nAnswer: f, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*g**5*l**3 + 3*g**5*l + 5*g*l**2 - g + 14*l**3 wrt g?\nAnswer: 1320*g**3*l**3 + 60*g**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -k + 4*j, -40*j = -11*k - 51*j + 88 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 119453639797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5007265 or -2\/11?\nAnswer: -5007265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -81 - 13?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 7. Let u be j(-8). Suppose -2*b = -4*c, 2*c - 4*b - u = -7. What is the nearest to -0.2 in 2\/15, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h - 128516 + 128264 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10*b**2 - 22*b**2 + b**3 - 7 - 14*b + 6. Let h be d(13). Let m be 4\/h - 4\/(-112). What is the third biggest value in -0.3, m, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34145199334 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176622?\nAnswer: 2, 3, 29437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 500192 and 5390?\nAnswer: 2500960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 times -49?\nAnswer: -4165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/6)\/(305\/45 - 7). Find the third derivative of 32*k**3 + 77*k**2 - 35*k**2 + 21*k**o - 5*k**3 wrt k.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 2*m**2 - 6*m**2 + (3*m - 4*m - m**2 + 0*m)*(1 + 2 + 0 + (0 + 3 - 1)*(2 - 4 + 1)).\nAnswer: -3*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 14) to base 2\nAnswer: -1010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {r: 3, y: 2, c: 4, k: 1, t: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 477071\/32 + -14910. What is the common denominator of f and (-1 - -7) + 41\/(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*m - 55*m**2 + 31*m + 25*m + 31*m.\nAnswer: -55*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjj. Give prob of sequence jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2592 and 8.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6076060 and 34.\nAnswer: 103293020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of 3373*s**6\/30 + s**5\/20 - 2399*s**3\/6 + 3158*s. Find the second derivative of r(g) wrt g.\nAnswer: 40476*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30*13\/((-65)\/(-24)) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a - 9. Let g be o(3). Let t be ((-52)\/5 + g)*(-27 + 2). Does 110 = t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inc when three letters picked without replacement from {c: 1, i: 2, n: 6, h: 9}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z + 3. Let o(a) = 5*a - 2. Let t(h) = -21*h + 9. Let l(n) = 22*o(n) + 6*t(n). What is -3*l(p) + 10*x(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-9))\/(p*((p\/(p\/(p\/(p\/p**24))))\/p)\/p) assuming p is positive.\nAnswer: p**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 5 - (-20)\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68\/37467185 or 0?\nAnswer: -68\/37467185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-107702)\/12 - (-1)\/(-2). Let r = u - -8577. Let c = -377 - r. Find the common denominator of c and 93\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 51 = -18287*l + 18290*l, u - 2*l = 3*l - 85 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 3:38 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 3\/4, -215, -0.008?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*s = 30, -5*o - s - 2*s = -30. Suppose -115 = -o*k + k. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5571.43 minus 67205714?\nAnswer: -67200142.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -501486 - 6?\nAnswer: -501490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 3. Let r be g(6). Suppose 202 = 79*d + 22*d. Solve 3*o = -4*x - 1 + 4, d*x + 3 = -r*o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3557261 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1891 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (9 + 5 + -14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(425) - -2*sqrt(425)))**2*-4 + 2 + sqrt(272) + sqrt(425)*-1 + -5.\nAnswer: -15367 + 479*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449847 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-392)\/(-858) - 2\/52*4. Do l and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5209307506?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13077*h**2 + 39227*h**2 - 13075*h**2 - 13080*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 9*q - 7*q. Let v = -27 + q. Is v greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -30, -39, -44, -45?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35013779\/408 - 85818. Let x = g - -2\/51. Find the common denominator of x and -2 + (0 - 5\/16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2697 and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*f - 33*f + 10184. Let p = f + -1802. List the prime factors of p.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1388\/168 - (-14)\/4*2 - 279\/(-3906)?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3039 - -3045. Put -0.0301, b, -2\/13 in decreasing order.\nAnswer: b, -0.0301, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-6))\/((-8)\/12). Suppose -a*n + 80 = -0*n. Suppose 4*w - 2*b - 36 = 0, 4*b + 32 = w + 2*w. What is the lowest common multiple of n and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b40c (base 14) to base 9.\nAnswer: 46442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1) - 312\/(-72)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/764 and (-11)\/396*(24 + -7).\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -25. Let l be p\/(-4) - 11074\/56. Let f = 278 + l. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10355460*z**6 + 2556963*z**2 - 2?\nAnswer: 1242655200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 692239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/(-893) + 802\/1482 + 2\/(-3).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scsc when four letters picked without replacement from cscsssscssssssssssss?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 111, 190, 293, 426, 595?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 24*g = -140 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62776 and 24780?\nAnswer: 941640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 947352246 by -1.\nAnswer: -947352246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*v = 5502506, -2*p + 809013 + 1391993 = -3*v. Round p to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3795 (b) 10882 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 76100 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5 - 32 + 44 + 7*v - 15*v + 45 wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2. Let b(m) = -2*m + m + 3*m - 6*m. Give s(b(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 19 + 1)*(-4*c + 97*c + c).\nAnswer: -2444*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190324 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 11 - (0 + 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(-11)\/(-209)*19.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15887117, -31774305, -47661493, -63548681, -79435869?\n\"Answer: -15887188*p + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 0*s**4 - 1\/336*s**8 + 1\/20*s**5 + 0 + 0*s + 1\/120*s**6 - 1\/70*s**7 + 0*s**3 + 132*s**2. Find d, given that v(d) = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s. Let a(d) = -84 - 136 - d**2 - 156 + 4*d**2 + 226. Calculate z(a(f)).\nAnswer: -3*f**2 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjgh when four letters picked without replacement from hvjwjwgvggwpwvjvvghv.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 54072, 54106, 54150, 54204, 54268, 54342?\n\"Answer: 5*z**2 + 19*z + 54048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/45 (b) 2250 (c) 37\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12606, -25215, -37824?\n\"Answer: -12609*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -u - 10*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*j + 9 = 6*h, 0 = -j. Solve -8*o**3 + 5*o + h*o**3 - 3*o**2 + 209*o**4 - 214*o**4 + 8*o**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let o(s) be the first derivative of 7*s**2\/2 - 14. Give o(a(k)).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 845\/3494 - 37032839\/115302. Let g = n - -321. Which is the fourth biggest value? (a) g (b) 0.5 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55692185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -68 - 2?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 5:29 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 7*a + 6. Calculate the remainder when (-2035)\/(-45) - (22\/18 + -1) is divided by s(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 4. Let c(m) be the second derivative of -m**4\/12 + 7*m**3\/6 - m**2\/2 - 5*m. What is the lowest common multiple of k(7) and c(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggyyau. Give prob of picking 1 a and 2 g.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d - 3*d + 3*d)*(2*d - 2*d + 2*d)*(10 + 46 - 14) in the form r*d**2 + y + n*d and give r.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 2*s - 1. Let t be m(2). Let w(a) = -3*a**2 - 6*a + 5. Let g(x) = 13*x**2 + 23*x - 21. Let z(l) = -2*g(l) - 9*w(l). Is 4 a factor of z(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 + 87. Suppose b - 3*o + 116 = 5*b, b + 4*o - 16 = 0. Let t = h + b. Let k(m) = m**2 - 6*m - 3. What is k(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 2. Let j(l) = -l - 2. Let s(f) = -6*j(f) - 5*x(f). What is s(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 2*c + 160 - 28 - 85.\nAnswer: 2*c + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**5\/9 + 8*r**4\/9 + 8*r**3\/9 - 4*r**2\/9 - 10*r\/9 - 4\/9 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1900) + (-3 + sqrt(1900) + -4)**2 - (sqrt(1900) + ((-3 + sqrt(1900))*2)**2))*5*1.\nAnswer: -1000*sqrt(19) + 56870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22015 (b) -3\/5 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97170.2ml in litres?\nAnswer: 97.1702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - k**2 + 1 + 0)*(14*k + 13*k - 10*k).\nAnswer: -17*k**3 - 34*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -8 - -5 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3543 + -3543. What is the closest to 64 in p, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12612)\/(-122967))\/(28\/78)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 12 = -3*b, -14*b + 10*b + 18 = 2*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2804 divide 4918939432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 3*i + 6. Let p(w) = 3*w**2 + 10*w + 17. Let s(l) = -4*p(l) + 14*z(l). List the prime factors of s(5).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2) + 108\/(-8))*10. Let g = b + 146. Calculate the highest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38592 and 3600.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a - 19*a - 7*a + 42*a - 9*a - 12*a - 7*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 543200531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6869.603 millennia?\nAnswer: 686960.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 284\/(-36))\/(2 + 10).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 6*d - 2*d = -25, d = -4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2136497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-24384)\/(-288))\/(-127)*(-666)\/4\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, -5, 5, -0.19 in decreasing order.\nAnswer: 5, 0.02, -0.19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 2*i - 5*i - 5*w + 225, -23*i + w - 137 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2124*k**3 + 2*k**2 + 3857?\nAnswer: 6372*k**2 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3 + 6*d - 2 - 5. Let c be m(3). What is the units digit of (2\/7)\/(2\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -672294 at least -672293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glg when three letters picked without replacement from llamgmggamalmag?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -117, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a milligram in micrograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000996108977 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25902702.\nAnswer: 2, 3, 7, 167, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-81)\/(-36) - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -25.51, 2.\nAnswer: -25.51, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1471*a + 2 - 2 + 1467*a + 0. Let f(y) = 3*y**2 - 5. Calculate s(f(q)).\nAnswer: -12*q**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -681 - -682. Let p = -9 - -13. Let v be p\/(-2) - 21\/(-15). What is the second smallest value in -2\/11, w, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((8\/(-4))\/142). Let l be 217\/(-3) - (0 + -2). Let s = l + i. What is the nearest to 1 in 4, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*v**3 + 49*v**3 + 148*v**3)*((4 + 1 - 2)*(-v + 3*v - 3*v) + 0*v - v - 2*v) in the form d*v**3 + j*v + r + l*v**2 + g*v**4 and give g.\nAnswer: -1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5740.451 litres in millilitres?\nAnswer: 5740451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001216 rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 672\/(16\/2)*(-12)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-40))\/((-2)\/85) + -4. Which is the fourth biggest value? (a) 4\/5 (b) -1\/3 (c) -0.051 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 8. Let h be 2\/6*(3 - 3). What is the lowest common multiple of -1 + (-1 - h)*-10 and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (4 - (-2 - -6)). Suppose 7*v + 0*v - 28 = y. Solve 2*l + 2*u - 19 = 7*l, 0 = 5*l + v*u + 37 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488918?\nAnswer: 2, 37, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13975499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 2:46 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (79*o - 9 + 9)*((-2*o + 0*o + 0*o)*(7 - 3 - 2) - 3*o + o + 3*o + 2*o - 4*o + 4*o) to v*o + l*o**2 + d and give l.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37923 is divided by 26170?\nAnswer: 11753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5935*k**3 + 7444*k**2.\nAnswer: 35610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6046.992 centimeters?\nAnswer: 60469920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - k + 24530 + 15432 = 0, 0 = -5*o + 5*k + 39980. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4624.7 + -90.7. Let g = -4534.04114 + w. Round g to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1511*u + 13178*u + 6698*u.\nAnswer: 21387*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16333 - -16344. Solve 0 = 5*v + d, 70*v - 66*v + p = -3*d for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 696 and 284331834?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {x: 3, o: 1, i: 4, m: 2, n: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 147*k**2 + 13*k + 26. Let j = 599 - 601. List the prime factors of v(j).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87354440 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11050 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80))**2*-4 - sqrt(5) - sqrt(25)\/sqrt(45))*4.\nAnswer: -1280 - 16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 221*j + 12264. Give r(-84).\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50*i**2*k + 62*i**2*w**2 + 36*i*w**2 - 207978*k*w**2 - 2*k - 2*w**2 wrt i.\nAnswer: 100*i*k + 124*i*w**2 + 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plhlkhl. What is prob of sequence kp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1 and -6.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050056?\nAnswer: 2, 7, 17, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102230131312 (base 4) to base 12.\nAnswer: -178409a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 14*b - 96. Let j be x(8). Let f(g) = g - 17. Let m be f(28). Solve -1 + m = 2*i, 3*i = -a + j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2274879797 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100232 - 0?\nAnswer: -100232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 225 (base 16) to base 9\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7558541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011382 to three dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*m**3)*(-73*m + 949 - 949)*(1 - 4 + 5) as h + j*m**4 + p*m**2 + s*m**3 + u*m and give j.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 715\/(-39)*(-21)\/(-70)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 412 from -8.\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*k - 16, 0*f + 8 = -4*f + k. Is f smaller than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-7)\/(-28) - 109\/36).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(10)*1 + 5)**2.\nAnswer: 10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 3*t**2 - 4*t - 3. Let a be c(-3). Suppose -15 + a = 5*d. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wweegeereeeeew. Give prob of picking 2 e.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**2 + 5*q - 8. Let j be i(-6). Let o = j + 263. Solve -4*c - o = 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1*100504\nAnswer: -100504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81)*1)\/sqrt(3) - (sqrt(324)*2 + sqrt(324))\/sqrt(12))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (-15 - (-64 + 28)) + -26?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -10, 85, 32, -4 in descending order.\nAnswer: 85, 32, 0, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5487 and 61950?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -396*b**2 - 6745*b - 207. What is s(-17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*d**2 - 107*d + 6296 = 0. What is d?\nAnswer: -787\/85, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021561?\nAnswer: 1021561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -180, -570, -960, -1350?\n\"Answer: -390*v + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 0.3 (b) 0.7 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - g**2 - 61043*g - 61125*g + 122091*g + 0.\nAnswer: -g**2 - 77*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*n**3 + 3*n**2 - n**2 + n + 88*n**3 in the form c*n**2 + a + m*n + f*n**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + ((-126)\/27)\/(-1). Put v, 5, 3 in descending order.\nAnswer: 5, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/3 - 6\/(-3). Is 5 a factor of (-2 + 15)*1*n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 104, 7, -70, -2, 0 in decreasing order.\nAnswer: 104, 7, 0, -2, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 64. What are the prime factors of (30\/4)\/(c - 84\/88)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = 0, -81*p + 82*p = -2*b + 947. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18\/(-8) - (-5)\/20. Let i be 46\/(-18) - (-1 + z). Which is the third biggest value? (a) 3 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from {y: 1, v: 1, j: 1, i: 3, u: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*t - 6. Suppose 5*q - 32 = -t. What is the third smallest value in 3, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 27860774, -5.\nAnswer: -5, 13, 27860774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, u: 4, b: 9}. Give prob of picking 3 b.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfxf. What is prob of picking 2 f?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153 + -61. Suppose q = -t + 5*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40642395*j**3 + 27278360*j - 2 wrt j.\nAnswer: -243854370*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 3. Give b(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*s**3 - 702172*s**2 + 82697192*s wrt s?\nAnswer: 42*s - 1404344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 552 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738626590?\nAnswer: 2, 5, 13, 5681743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3829640 divided by -380?\nAnswer: -10078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*y = -28, -4*y + 3*y + 14 = 4*x. Suppose 6 = -x*w + 14. Suppose 0*h + h + 4*g - 277 = 0, w*h - 509 = g. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**3 - 339*x**2 - 643*x + 2567. Calculate q(-111).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*q - 15, 35 = -26*z + 25*z - 4*q. Which is the closest to z? (a) 0.3 (b) 5\/3 (c) 0 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**14)**7 assuming j is positive.\nAnswer: j**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-55*(-39)\/(-390)). Factor 1682\/11 + 2\/11*w**u + 116\/11*w.\nAnswer: 2*(w + 29)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 53 = b - k, -5*b = 4*k - 79. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*z + 18 = 0, 0*u - 3*z = 3*u - 12. Solve 0 = -u*i + 5*y - 40, 2*i + y + 8 = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260675133?\nAnswer: 3, 86891711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308303?\nAnswer: 308303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -204744.47 rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -575 + 1525. Let g be (n + 0)\/((-32)\/1344). What is g rounded to the nearest one thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 330284?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5790036 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -q. Let h = 1 + -10. Let p be (-12)\/h*(-21)\/(-28). Solve 0 = -2*s + 2*u, -2*s + 3*u + q*u = p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(5 + -1 + (sqrt(99) - (5 + sqrt(99)*-2))))**2.\nAnswer: -192672 + 3888*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.002 and -2?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -2732, -2, -9, 1 in decreasing order.\nAnswer: 17, 1, -2, -9, -2732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17240986 and 9816.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -769 divided by 769?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2. Let z(q) = 11*q**2 + 10*q. What is z(f(l))?\nAnswer: 44*l**4 - 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xcxc when four letters picked without replacement from xxxxxccxxxxocxx?\nAnswer: 11\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 671*l - 2633. What is the units digit of u(34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423*t + 80*t + 4 + 207*t - 4.\nAnswer: 710*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/7 (b) 0.48 (c) -5 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17771, -17799, -17829, -17861, -17895, -17931?\nAnswer: -17969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aia when three letters picked without replacement from {a: 3, i: 1, v: 1, y: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -932.\nAnswer: -5\/932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 + 26*w + 4. Let h be v(7). Let x be (-8)\/h + 7\/35. Which is the nearest to 1\/2? (a) 3 (b) x (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -18 + 14 - (3 - (-1 + -684)). Let f = 301 - i. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -1100011110000000011110111011?\nAnswer: 1100011110000000011111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*o + 6*o + 2*b, -2*o = -3*b - 32. Suppose -4*d + 5*r = -7*d - 17, 0 = -3*d - r - 1. Calculate the lowest common multiple of d and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230020233233 - -11?\nAnswer: 230020233310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 7339 - 7344. What is the smallest value in n, -44, 3\/7, 0, -4?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swl when three letters picked without replacement from lfshppwh.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, a: 2, n: 3, g: 1}. Give prob of picking 1 v and 3 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -14. Which is the smallest value? (a) w (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924 = 292896*c - 292929*c for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 8*b**2 + b + 36. Let a be p(8). Let l be ((-231)\/a + 6)*4\/3. Let g(s) = -s - 1. Give g(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -241204*-20.35.\nAnswer: 4908501.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-2\/7)*q))**1*q\/(q*q**(-3)*q*q*q)*q*q*((q\/(q\/(((((q\/(q**4*q))\/q)\/q)\/q*q)\/q)))\/q)\/q*q assuming q is positive.\nAnswer: q**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from ggggggggggwgggg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - b - 22 - 205 = 0, g = 3*b - 89. Let v = -79 - g. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - 6227458954710\nAnswer: -6227458954710.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a millennium in months?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 3*z - 30 = 0. Suppose -28 = 2*f - z*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (185 - -10 - 75)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(152)*2*-1)\/(sqrt(2) + (sqrt(14)\/(sqrt(7)*2) - sqrt(2)) + sqrt(2) + sqrt(16)\/sqrt(8)*-6).\nAnswer: -16*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - 4*w**5 + 3*w**5 + (-1 + 1 + w**5)*(3 - 2 - 3) - w**5 + 0*w**4 + 0*w**4 - 2*w**4 + 2*w**4 - 3*w**5 - 7*w**5 + 16*w**4 - 16*w**4 - 2*w**2.\nAnswer: -12*w**5 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffoc when four letters picked without replacement from oocvfcofvffcvovovco?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 4*h + h)*(-8 + 3 + 9) + 185*h - 28*h + 8*h + 80*h.\nAnswer: 241*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.12275 decades to months.\nAnswer: 3014.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.21 + -0.15. Let v = d + 0.04. Let f = -0.06 + 0.46. Put v, 0, f in descending order.\nAnswer: f, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3600 and 25216?\nAnswer: 5673600","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104168.\nAnswer: 2, 29, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11692209 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*i**2 + 9 + 6*i.\nAnswer: 3*(i + 2)*(i + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5\/5 + 2*h**4 + 14*h**3\/5 + 6*h**2\/5.\nAnswer: 2*h**2*(h + 1)**2*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*a - 6, -3*q = 13*a - 17*a + 6. Let j be (-1572)\/(-16)*q*160\/(-6). What is j rounded to the nearest one hundred?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*z - 0*z. What is the common denominator of (225\/22)\/3 + z and -55\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133862147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n**2 + 63*n + 95. Let u be g(11). Is u greater than 229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 2, d: 1, f: 1}. What is prob of picking 1 a and 1 d?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-2*j - 3*j + 3*j) + j + 0*j - 3*j - 2332171 - 627*j - 1055*j - 448*j + 2332176.\nAnswer: -2128*j + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 + 17*k**2 + 13*k - 49. Let t be x(9). Let h(p) = 11*p**2 + 49*p + 55. What are the prime factors of h(t)?\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*u = 0, -2*v + u + 4 = -5*v. Find the common denominator of -3 + v\/(24\/63) and 65\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881634 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 26, -3, 60 in decreasing order.\nAnswer: 60, 26, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313 = 89*p - 333 + 23 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3. Let i be 1 + (-82)\/7*4. Let x = i - -46. Put -2\/3, k, x in descending order.\nAnswer: k, x, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80 + 80. Which is the nearest to v? (a) 4 (b) 2\/35 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32905 and 5.\nAnswer: 32905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 + 76134212*x\/9 - 724552279607618\/9.\nAnswer: -2*(x - 19033553)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819347 is divided by 44318.\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f - 4*f**3 + 5*f - 3 - 12*f**2 + 25 + 3*f**3. Suppose 44 = -3*x - b - b, 0 = b + 4. List the prime factors of o(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 7*u**2 + 0*u - 5\/6*u**3 - 1\/60*u**5 - 14 + 1\/6*u**4. Let n(y) be the second derivative of t(y). Determine n(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*c + 10 = -3*c, -5*z + 37 = -4*c. Let m = -2 - -4. Suppose -3*l = 2*i - 3, 4*l - m*i - 21 = i. Calculate the remainder when z is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.093 - 0.057. Let o = m + -7.55. Let z = o + 7.9. Is z at least -0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/16)\/((-9)\/27*3\/(-20))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28597539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 1202134?\nAnswer: -1202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g + 4*z - 1953 = 14*g, -3*z = 3*g - 5904. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21120223 (base 4) to base 9.\nAnswer: -57654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 186666624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 906a (base 16) in base 13?\nAnswer: 13a9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230 (base 4) in base 10?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1779*f - 1789*f - f**2 + 3568*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-298)\/(-14) - (-10)\/(-35). Suppose r + g = 4*z, 5*r + z = 4*z - 37. Let j = r - -4. Which is the smallest value? (a) 5\/2 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 413444042 (base 5) to base 15\nAnswer: 2398ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6296.\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/1*(271456\/35928 + (-12 + 2)\/1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/5, 1\/2, -165, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = -4*l + 1, -3*g - 5*l + 38 = 0. Suppose 7*z - g*z = 16. Suppose -z = -2*x + 24. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 48*a**3 + 17*a**2 - 20*a + 9. Let l(w) = -17*w**3 - 6*w**2 + 7*w - 3. Let g(z) = 6*i(z) + 17*l(z). Determine g(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 6272010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -20. Let z = -12 + n. Find q, given that 2*q**2 + 6 + z - 19 + 2*q = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1805*f = 1234 + 3322 - 946. Let 74\/3*t + f*t**2 + 8 = 0. What is t?\nAnswer: -12, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57591135 divided by -304715?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.0348, -2, 1.318, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.038 + 0.099. Let h = x - 0.261. Which is the second smallest value? (a) -1 (b) 0.02 (c) h (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -137*u - 1723. Calculate f(-13).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4351933*a**5 - 3*a - 1751165?\nAnswer: 87038660*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(171) - sqrt(171)))\/(5*sqrt(144)).\nAnswer: -3*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 166 and 830.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1071)\/(-801)*(-10)\/(-35) and -81\/712.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a**3*r**4 - 8241*a**3 + 4707*a*r**4 - 16*a*r**2 wrt r.\nAnswer: -144*a**3*r + 112968*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22678492901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2. Let u = -2 - -1. Let y(x) = x + 12. Let f be y(-15). Let l(r) = 2*r. Let s(o) = -o. Let c(k) = f*s(k) + u*l(k). Calculate v(c(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1714, 1736, 1758, 1780?\nAnswer: 1802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**8\/168 - a**4\/12 + 3*a**2\/2 + 2. Let o(h) be the second derivative of u(h). What is the second derivative of o(c) wrt c?\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 3*c**2 + 3. Let k be o(3). Suppose 0*b + 4*b - 12 = 0, -k*z + 204 = -3*b. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - -3*sqrt(228) - sqrt(228)) + sqrt(228))*5)\/sqrt(12).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -23, -1538\/3, -1\/32?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 1465163\nAnswer: -1465163.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2015 - 21313154?\nAnswer: -21315213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*b**3*j*r**3 + 3*b**3*j*r - b**3*r**2 + 18*b**2*j*r**2 - b**2*r**3 + j*r**3 wrt r?\nAnswer: -60*b**3*j - 6*b**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1016872)\/(-6))\/(5\/15). Let j = -278247 + 509811. Suppose -v - h = j. Round v to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 6.5?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 166 = -28*d + 8*d + 9 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1399\/4 + 350. Let w = -3 - -7. Let s = 6 - 5.94. What is the third smallest value in w, s, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**5\/5 - 11*s**4\/2 - s**3 + 34*s**2 - 44*s - 2029. Let z(o) = 0. Calculate o.\nAnswer: -2, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 125 = t, 5*v + 5*t - 119 = v. Let d be (-2 + 1)*-1*v. Suppose -d*n + 12 = -29*n. Solve -3*g + 3 = -n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/18)*w)**21*w*w**(-4\/19)*w**33 assuming w is positive.\nAnswer: w**(8773\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**(2\/9))\/q*q**6)\/(q\/(q*q\/((q**(2\/9)*q)\/q)*q))**(-37) assuming q is positive.\nAnswer: q**(-527\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -27380, -19, 3 in descending order.\nAnswer: 3, -19, -27380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*c**2 + 62 + 22*c**2 + 31*c**2 - 62.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -2*s - 20. Let r(a) = -a**2 - 14*a + 92. Let h be r(-19). Let f be ((-2)\/s)\/(h\/6). Solve 4 = -o - f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*g**4*m + 2*g**4 + 2*g**3*m - 3*g**2 - g*m wrt g?\nAnswer: -456*g*m + 48*g + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*p - 311 - 117, -4*p + 580 = -5*i. Let k = -11 - i. What is the remainder when k is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {w: 4, d: 2, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yly when three letters picked without replacement from lyylyyywywywwlylyll?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 4, 623 in decreasing order.\nAnswer: 623, 26, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**4\/2 - 11856*d**3 + 23709*d**2\/2 = 0 for d.\nAnswer: 0, 1, 7903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.075462 - 0.175462. Let t = 1 + 0. What is the closest to a in -1\/51, t, -2\/9?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**7\/2520 - 19*x**6\/720 - 53*x**5\/30 - x**2 + 41. Let q(v) be the third derivative of z(v). Give q(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1255304 (base 6) to base 5.\nAnswer: 4214010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 190*n + 18*n**3 - 190*n + (-4 + 4 + n**2)*(-4*n + 5*n + n) + (-15 + 2*n**2 + 15)*(-n - 3*n + 3*n) to the form k + m*n + h*n**2 + w*n**3 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -50840.8 to the nearest one thousand.\nAnswer: -51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 + 2*f**2 - 4*f**2 - f**2 as i*f**2 + y*f + m and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/48 and 7\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -10. Let n = -8 + 8. Solve n = -5*i - y - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14\/19*z**5 - 732\/19*z**2 + 610\/19*z**3 + 160\/19*z + 0 - 24\/19*z**4 = 0.\nAnswer: -8, 0, 2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g**3 + 4*g**2 + 3*g - 8. Let x(t) = -t**3 + t - 2. Calculate -d(y) + 4*x(y).\nAnswer: 2*y**3 - 4*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + -49. Differentiate -13 - y + 18 - 20*h wrt h.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9279 + -0.0577?\nAnswer: 9278.9423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.3 in 2\/7, -3, 1545, -26, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let h = 20 - 18. Suppose x + 5 = -m*x, s - 13 = h*x. Let q(a) = -a**3 + 3*a**2 + 2. What is q(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1730211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1499, 1259, 1015, 767, 515, 259?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 98073, 392642, 883583, 1570896, 2454581?\n\"Answer: 98186*u**2 + 11*u - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30957?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 3:06 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3152 and 2557651.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/((-16)\/72) + -21. Suppose -12 = 7*s + 72. Find the common denominator of (s\/z)\/((-544)\/30) and 13\/6.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpfpppfppppp. What is prob of picking 3 f and 1 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25975, 25972, 25959, 25930, 25879, 25800, 25687, 25534?\nAnswer: 25335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -182 - -226 - (1 + 6 + (-7 + -1 - -4))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*u + 27*u + 1 + 44*u.\nAnswer: -4*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from luh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsbbsbsbsbsmbmmbm. What is prob of sequence ss?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j + 213. Calculate the common denominator of 21\/2 and (-6)\/9 + j\/99.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 divided by 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 5*m - 6 + 34*m**2 - 4*m + 96*m + 0*m**3. What is the hundreds digit of q(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.612135mm?\nAnswer: 3612.135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/6 - 35344\/(-141). Calculate the greatest common divisor of d and 1134.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 + 9)*(-r - 2*r + 4*r) + (1 - 3 + 1)*(-21 + 21 - 7*r).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(6000) - sqrt(6000) - sqrt(4860)*-1)\/(2*(sqrt(12) - (sqrt(12) + sqrt(24)\/sqrt(2)))*-4))**2.\nAnswer: 1805\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9077.643 years?\nAnswer: 9.077643","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*w - 5*f, 0*w - 3*f - 23 = -2*w. What is the least common multiple of w and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - (-2 + (10 - 7) + 6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tftf when four letters picked without replacement from fttftttf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11699, -46734, -105139, -186914, -292059, -420574, -572459?\nAnswer: -747714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 12*y**2 - 13*y + 15. Let n be x(11). Is 1*17 + 4 + n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 5*a + 5. Let o be n(4). Let i be (1 - (-331)\/(-218)) + (-9)\/(-18). Let j = 973\/436 - i. Which is smaller: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (-36)\/(-4) - -1. Calculate the remainder when (-1)\/o*-5 + -2 + 184 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y - 3. Let j be x(-2). Let t be 3\/(-2 - -5)*7. Suppose 0 = 2*d - 2*q - 23 - 3, j*q - t = -d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * 106921.1.\nAnswer: -1603816.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/22)\/((-1)\/((-56*3)\/4)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8133*h**2 - 15418*h**2 + 7402*h**2 to the form o*h**2 + u + x*h and give o.\nAnswer: -16149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 69145764 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2303 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1526 and 4\/6377.\nAnswer: 1390186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11362 by -5681.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73 - m + m**2 - 10*m**4 + 32*m**4 - 15*m**4 - 13*m**4 to the form j*m**4 + x + n*m + a*m**3 + v*m**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 460 (c) -3 (d) -9 (e) -5 (f) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times 0.5?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430437, 860874, 1291313, 1721754?\nAnswer: 2152197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*s + 272*s - 264 = 0. Calculate the highest common factor of s and 972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, 4, -29.\nAnswer: -29, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 8*t**2 - 7*t. Let o be r(7). Suppose -2*i + 34 + o = 0. Solve 0 = -5*q - 8 - i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -400140 + 1206?\nAnswer: -376732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 35*i**4 + 180*i**3 - 6755*i**2 - 67200*i - 166500 = 0?\nAnswer: -10, -6, -5, 111\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91\/2 + -265\/6. Let d = 39.8 - 44. Let h = d - -4. Which is the nearest to g? (a) 0.3 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*m - 23 + 24 = -z + 73*m - 137*m, 2*z + 4*m = -16 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 5, -3.\nAnswer: -3, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/5, 5, -0.2543, 6, 4, -4?\nAnswer: -0.2543","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105515?\nAnswer: 5, 47, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/334823 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 6*x**3 - 4*x**3)*(2 + 0 - 1) - 5*x**3 + x**3 + 3*x**3.\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**5\/5 + j**4\/3 + j. What is g in b(g) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + sqrt(68) + ((sqrt(68) - 3*sqrt(68)) + sqrt(68) - sqrt(68)) - (1 + sqrt(17) + -2)) + (sqrt(68) - -6*sqrt(68)*-2))**2.\nAnswer: -48*sqrt(17) + 9793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f. Let p(k) = -12976*k**2 + 2*k + 1. What is n(p(m))?\nAnswer: 25952*m**2 - 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/35)*a**(-20))**(-39) assuming a is positive.\nAnswer: a**(25857\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 times 1.14?\nAnswer: -59.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*a + 30*a + 72 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7322441 litres in millilitres?\nAnswer: 732.2441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 9.4863?\nAnswer: -28.4589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*k + 5540 = -7595 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j + 10. Let v(t) = -2*t + 9. Suppose 0 = 6*k - 5 - 19. Let b(w) = 11 - 12 - 3*w + 0*w + k*w. Let d be b(-6). What is d*v(g) + 6*p(g)?\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 14 = 2*l - 3*i, 0 = -l + 5*i - 10. Suppose -a - 5*u - 27 = 0, -4*a + l*u + 17 = -0. What are the prime factors of (12\/14)\/(a\/(-14))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1766246*u**3 - 1570478*u**2 + 1?\nAnswer: -10597476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 744.6 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 222*u**2 - 447*u**2 + 226*u**2. Let b(k) = 6*k**2. What is i(b(h))?\nAnswer: 36*h**4 - 12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -223 + -2545?\nAnswer: -3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 45 = t. Let a be 2*(-6)\/36 + (6 - 3661\/(-21)). Calculate the highest common factor of t and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 3*u = -2, 10 = 6*b - 2*b - 3*u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 293 = 273 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 13 + 20)*(11*k**2 - 4*k**2 + k**2)*(-2*k**3 - 10*k**3 + 2*k**3).\nAnswer: -3440*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/(27\/9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-250)\/1875)\/(4\/5).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 763946?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 3. Let m = -1.7 - -2. Let g = -4 - -7. What is the nearest to -2 in g, m, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 391*j - 18. Let m(x) = 59*x - 7. Let y(v) = -2*v + 1. Let l(z) = 2*m(z) + 10*y(z). Let u(t) = -9*l(t) + 2*s(t). Factor u(c).\nAnswer: -4*c*(c + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -23, -0.2, -180\/7 in decreasing order.\nAnswer: 5, -0.2, -4, -23, -180\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-70) + 66\/(-35). Suppose -2*v - 1 = -5*i - 2, 3*i + 13 = -5*v. Which is bigger: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/10*1*8\/84?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1390 - 2*d + 4173 - 1387 - 1392 + d**3 - 3*d**2. Calculate u(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.05 + -4. Let b = -190 - -190.0524. Let c = w - b. Round c to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t + 4*t + 1052 + 3*t - 1052.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.05, -2\/7, 0.4, 0.17, 2, -549?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/3, -5, 0, -10, -2\/35, -0.3446?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*r - 3. Let t = 56 - 34. What is the common denominator of (t\/(-165))\/(r\/(-5)) and 11\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(2) + sqrt(2) - sqrt(2)) + -2)**2 + sqrt(2))*4 + 2.\nAnswer: -60*sqrt(2) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2285\/16 - -573\/4. Which is the second smallest value? (a) g (b) -5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -134653?\nAnswer: 134655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 130*r**2 - 2485*r + 238. Determine b(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1188311825 * -0.1.\nAnswer: -118831182.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 2855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5321899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 2 (c) 4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let y(r) = 3*r**2 + 5*r + 4. Let s be y(-1). Let u(m) be the second derivative of 1\/3*m**4 + 0*m**3 + 4*m + 0*m**s + 0. Calculate u(o(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*z - 199*z = 17*z - 35*z + 10008 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from ndnkkkjknknjkdjnk.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -895 - 5015. What is the thousands digit of (87\/145)\/(2\/k*-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 + 0.05. Let g = 10567 + -10568. What is the nearest to g in z, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219434 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82938)\/(-26444) - 6\/44.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-3) + (-3)\/(-9). Let l(h) = h**2 - 3*h + 3. Let j be l(t). Factor -v**j + 3*v**3 + 0*v**3 - 3*v**4 + v**2.\nAnswer: -v**2*(v - 1)*(3*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -891 - -1611. Is i a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0 (b) -143837 (c) -2\/11 (d) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 t when three letters picked without replacement from wwkktww?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*c**2 - 84*c**2 + 266*c**2 as k + l*c + b*c**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60270444*c**4 + 316867853 wrt c?\nAnswer: -241081776*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 o when three letters picked without replacement from {z: 1, g: 1, i: 2, x: 6, o: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -5.1. Let o = -1.1 + b. Which is bigger: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 2001311333112?\nAnswer: -2001311333111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1854869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 + 1.859.\nAnswer: 1.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8489 - -8474. Which is the closest to 1\/2? (a) l (b) 1\/6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 6:08 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -69*o + 91. What is the tens digit of d(-25)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/1)\/((-4536)\/162).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -411.0000167 - -411. Round u to six decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -320\/21 + 109\/7. Let -x*w**2 - 1\/3*w + 1\/3*w**3 + 1\/3 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**4\/12 - 48*f. Let y(o) = o**2 + 2*o + 2. Let d(i) = 5*i**2 + 11*i + 11. Let p(z) = -2*d(z) + 11*y(z). Determine a(p(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(684) + sqrt(684) + 5 + sqrt(684) + -2)**2 - (-4 + 1 + sqrt(2736) + (1*sqrt(19)*2)**2))*-5.\nAnswer: -54400 - 660*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3813759 divided by -423751.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/8)*u**(-12))**(-2\/61) assuming u is positive.\nAnswer: u**(99\/244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 119878, 40, 4 in decreasing order.\nAnswer: 119878, 40, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/85 in -865, 0.3, 3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5 - 47*w**4\/3 + 23*w**3 + 5*w**2 - 34*w\/3 = 0.\nAnswer: -17, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22298 (base 11) to base 14.\nAnswer: baa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 6*(-83)\/2. Does 31 divide (-1)\/((-4)\/b*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - 9. Suppose 6 = 22*j - 19*j. Suppose 3*t - 5*d + 58 = 0, 4*d = -j*t + 5*t + 56. Is t > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 - 161.4?\nAnswer: -162.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:27 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.14 + -0.15. Let b = z + 0.21. What is the closest to -0.3 in -3, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (1 - -7) + 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36336 (base 11) in base 10?\nAnswer: -52311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -739, -730, -709, -670, -607?\n\"Answer: x**3 + 2*x - 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 3:35 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71, 278, 609, 1052, 1595, 2226, 2933, 3704?\n\"Answer: -2*h**3 + 74*h**2 - h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-56))\/((-5)\/35) + -4 + 1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*s = -35*s - 5*g - 18, 4*g = -16 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-1)\/6*3\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*sqrt(121))\/(-1*sqrt(44) + sqrt(11)).\nAnswer: -20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/31970 and -107\/1840?\nAnswer: 255760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1443161198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -7436408.\nAnswer: 1\/1859102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*a - 14*a - 16*a)*(0 + 5 - 2)*(-1 + 2 - 4).\nAnswer: -90*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 1023321?\nAnswer: 1023312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 f when two letters picked without replacement from oofofmofifm?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*g + 17*g + 18*g - 7)*(-4 + 4 - g**3) + 3*g**4 + g**4 - 5*g**4.\nAnswer: -6*g**4 + 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.6678 - -0.0442. Round a to 1 dp.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 8, d: 5, a: 4}. What is prob of picking 2 a?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 100*r**2. Let y(c) = 13884*c. Give y(w(o)).\nAnswer: 1388400*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1030050 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 7*i**5\/12 - 85*i**4\/3 - 8*i**2 - 16. Find the second derivative of h(c) wrt c.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2622657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003487526 to seven decimal places.\nAnswer: 0.0003488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1159 + 814 = 115*u. Let p = 7 - 8. Let s = -12 + 278\/23. Which is the nearest to 15? (a) p (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-15)*(0 + 0). Let j = -1.6 + 2. Which is the closest to l? (a) j (b) 4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 26*x + 82. Give b(-6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 4*c + 4. Let o be k(-5). Solve o*r = 10*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122301569 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 0*i = -2*i. Solve -4*w = -x + 1, -5*x = 4*w - i*w - 29 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j + 6. Let b be c(2). Suppose 5*s - 2*q = 18, -s - 5*q - 28 = -5*s. Is b\/1 - (-72)\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.026 + -0.284. Let z = s + 3.31. Let b = 282 + -280.6. Is z < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 3*s - s + 41776*s**2.\nAnswer: 41776*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 6*v - 2. Let n(b) = b - 13. Let g be n(16). Suppose g*z + 0*z + 18 = 0. Let a(r) = r**2 - 5*r + 1. Let x(t) = z*a(t) - 5*k(t). Give x(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590*b + 459*b = -625525. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - 2*y**2)*(3*y**3 - y**3 - 8*y**3) + (3*y**2 - 5*y**2 + y**2)*(-75*y**2 + 75*y**2 + 22*y**3).\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**7\/210 - w**6\/60 - w**5\/60 + 4*w**2 + 8*w. Factor y(a).\nAnswer: -a**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = -4*g. Let m = g - 4. Suppose -v = -m*v - 9. Calculate the remainder when 16 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2209 = 2377. Let u(p) = -43*p - 5. Let n be u(-5). Calculate the greatest common factor of r and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269346828?\nAnswer: 2, 3, 37, 653, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 10. Let m be d(0). Suppose -8*q + 4*q + 36 = 0. Suppose r = x - 14, 2*r + 39 = 4*x - q. What is the greatest common factor of m and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*p - 19*p - 130*p + 720 = 0. Factor -34\/5*a - 14\/5*a**2 - p.\nAnswer: -2*(a + 1)*(7*a + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1 - -3. Suppose -s + 5*d = -26, 16 = -3*s + 5*d + 44. What is the nearest to -0.1 in -1, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2. Let m(p) = 295*p. What is m(a(s))?\nAnswer: -590*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 3 (c) 4 (d) 5 (e) -21.4197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 54 = 4*r. Suppose 0 = -2*l + 4*o - 6, 4*l - 4*o + 12 = -0*o. Let k be (-1)\/3*r\/l. Is k equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z**2 + 5*z - 5. Let q(i) = -4*i**2 - 3*i - 7. Let r(v) = 2. Let w(h) = q(h) + 5*r(h). Give -3*u(p) - 5*w(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 3*i + 1 = -0*c - 12, 174 = 20*c + 4*i + 230 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 35. Let k be j(0). Let w = k + 39. Is 6\/w*(-4782)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/9, -14, 0.3, 33?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*r = -129, -5*a + 3*r = 11 - 194. What is the remainder when a is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2565 + -2566. Which is the third biggest value? (a) y (b) 13 (c) 4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114758435 a multiple of 1705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.0869 + 0.2569. Let r = -0.17 + v. Let h = r + 18. Which is the second biggest value? (a) 3 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 13 = f, -6*f - 3*q + 6 = -2*f. Suppose -2*d = -f*d - 4*w + 18, 2*d - 4*w = 0. Suppose -3*n + d = -15. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 6:36 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -14. Let r = -1 + 2. What is the smallest common multiple of (r + j)\/((-2)\/6) - 0 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 17*b**2 + 18*b + 34. Let v be y(-16). Let r be v + 4\/22 + (-10)\/55. Suppose 8 + 28*h - 6*h + r*h - 2*h**2 - 30 = 0. What is h?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 236 (base 14) to base 4.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (28 - 1) + (-17 - (16 + (19 - 50 - -7)))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**6\/1260 + 11*v**5\/140 + 17*v**4\/42 - 85*v**3\/3 - 83*v**2. Let s(u) be the first derivative of m(u). Solve s(q) = 0.\nAnswer: -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-4)*z)\/z*z*(z**(9\/2)*z)\/z)**(-23))**(5\/8) assuming z is positive.\nAnswer: z**(-345\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4 = k - 4*k, -2*j = k + 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 563820?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64640719.\nAnswer: 11, 13, 452033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -671\/2 - -340. Which is smaller: r or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 169053186475 - 2.2\nAnswer: 169053186472.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 5*m**4\/12 + 25*m**3\/3 + 40*m**2 - m - 1. Solve v(u) = 0 for u.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4662 and -2\/62507 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3)*i)**12)**18\/(((i*i**(-3\/4))\/i**(-1\/2))\/(i\/(i*i**(1\/4)\/i))**27) assuming i is positive.\nAnswer: i**(183\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9266223 months?\nAnswer: 0.077218525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*y - 6*x + 5*x, 0 = -3*y - x + 18. Solve y*d - 2*j - 4 = 2*j, 5*d - 35 = -5*j for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -521, -779, -1037, -1295?\nAnswer: -1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8188, -16833, -25478, -34117, -42744?\n\"Answer: v**3 - 6*v**2 - 8634*v + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -957*s**3 + 14*s**2 - 839*s - 7. Let c(v) = v**3 + 2*v**2 - 1. Let d(g) = -14*c(g) + 2*t(g). Find the second derivative of d(a) wrt a.\nAnswer: -11568*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 7*j**2 - 2*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 2*a**2 + 3. Suppose -2*x = -5*u - 5*x - 1164, 0 = -5*u + x - 1152. Let o = 238 + u. Let q(c) = c**3 - 3*c**2 - 5. Calculate o*z(d) + 4*q(d).\nAnswer: -3*d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28617?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 26202.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**24\/(d\/d**(-10\/7))*d**27\/d**(-2\/49) assuming d is positive.\nAnswer: d**(2382\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 273204705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*w + 1 = 3*w, -t + 6 = -4*w. Find the third derivative of 9*c**3 + 103 + 7*c**t - 103 wrt c.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51512253 + -2?\nAnswer: 51512251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4511 and 6659971.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2482 and 149.6311.\nAnswer: 2631.6311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 635657 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven halves of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 191, -2, 8, 13 in descending order.\nAnswer: 191, 13, 8, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - 6.95. Let n = d - -6.5. Put n, 1, -4 in increasing order.\nAnswer: -4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, 19, 14 in descending order.\nAnswer: 19, 14, 11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -2. Let b(p) = -90*p + 95. Let u be b(1). What is the second biggest value in u, 2\/9, n, 6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - -21 - ((6 + -3 - 143) + 6 + -17)?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -193 + 197. Suppose 0 = -4*u - 4*l + 28, -3*u + 5*l = -o*u + 3. Calculate the remainder when 73 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 1 - 4*s + 17)*(-9 + 9 + 5*s).\nAnswer: -20*s**2 + 35*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 210663614 a multiple of 773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22302413505 + -4?\nAnswer: 22302413501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**2 + 10*m - 30. Let k be z(4). Let y = -87 - k. Calculate the common denominator of 48\/11 and (y\/2)\/(24\/(-224)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 500 + -569. Let q(y) = 42*y**2 + 3*y + 1. Let b be q(-2). Let o = z + b. What are the prime factors of o?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -4 - (-5 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 31*a**4 - 3*a**2 + 7*a. Let w(y) = 21*y**4 - 2*y**2 + 5*y. Let v(i) = 5*r(i) - 7*w(i). Find the third derivative of v(z) wrt z.\nAnswer: 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 27. Let c be s(-25). Let d(f) = f. Suppose 5*w = -2*x + 3*w + 4, -w = -x + 2. Let m be d(x). Solve -c = 4*z + m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 1, n: 2, b: 1}. What is prob of picking 1 b, 1 j, and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4.49 and 0.571?\nAnswer: 5.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**3 - 96*o**2 - 2500*o - 2400 = 0?\nAnswer: -15, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 0.180530865653329?\nAnswer: 0.380530865653329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (4 - 10)) + 4. Suppose -11*f + p*f + 8 = 0. Suppose 4*g = -l + 144 + 14, -f*g + 5*l = -146. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 249.901487 to the nearest ten.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 112*g + 86691. What is u(182)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 190\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -41, -42?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1085854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j = 24. Suppose -x = 3*m - 19, 0*m - 6 = -2*m. What is the remainder when x is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -201, -194, -173, -132, -65, 34, 171?\n\"Answer: o**3 + o**2 - 3*o - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.851232 rounded to two dps?\nAnswer: -1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 19*g**3 + g**2. Let l = 5 + 0. Let x = l + -4. Is 20 a factor of b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238, -428, -644, -898, -1202, -1568?\nAnswer: -2008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:30 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, u: 2, j: 3, q: 3, r: 1, v: 1}. Give prob of sequence rdq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2. Let p(b) = b - 1. Let s(l) = 2 - 5*l + 3*l - l. Suppose -4*q + 9 = -7*q. Let r(h) = q*s(h) - 6*p(h). Determine j(r(t)).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-13)*v)\/v**(-18))\/((v*v**8)\/(v*v\/(v\/(v*v\/(v\/v**2))))) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (2 + 0 - 4). Suppose b + 5 = j*u + 5*b, -2*u - 2*b = -4. Let c be (4 + -1)\/1 - 1. Solve -2*k + 8 = d, u*d + c*k = k - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*2\/(-4)*(-48)\/24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*1352\/(-468) - -36.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13, -21, -41, -79, -141, -233, -361?\n\"Answer: -x**3 - x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, 1, 4, 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkm when three letters picked without replacement from mbbbbmmkb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b - 26*b - 9*b - 29*b + 51*b.\nAnswer: -32*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 316413 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*f + 1121 = p - 48*f, f = 4*p - 4489. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 8*p**2 + p + 1. Let j be n(4). Let f be 0 - 114*(-9)\/((-27)\/(-2)). Suppose -139 - f = -j*x. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*s + 5 - 19, 0 = -s. Is x 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 - 14) + 11 + 1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140791, -281517, -422177, -562771, -703299, -843761?\nAnswer: -984157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 5*v - 20, -g + 5 = 5*v - 8*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11537 and 973?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + (-5)\/3)*2. Let f = 4.96418 - -0.03582. Which is the second smallest value? (a) f (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2\/8 + 5*c\/4 - 3 = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {h: 3, p: 1, n: 3, q: 2, s: 3, m: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 2875.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11, -48, -103, -176, -267, -376?\n\"Answer: -9*t**2 - 10*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(288) + sqrt(288) + (sqrt(288) + sqrt(288)*-2)**2)*5.\nAnswer: -1440 - 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 9 = 0, 0*l + 5 = 2*l - 3*x. Let z be (-6)\/l + (8 - 2). What is the tens digit of 12\/(2 + (-12)\/z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3165291, -6330579, -9495867, -12661155?\nAnswer: -15826443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.147003 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(65)\/sqrt(5) + 0 - (2 + sqrt(1872))*-3.\nAnswer: 5 + 37*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + l + 22. Let q be d(0). Let c be (-12 - 2)*((-48)\/14 + 2). Let t = q - c. What is the common denominator of -39\/2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3541*g = -131153 - 69484 - 110971 for g.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -2, 0, -1 in descending order.\nAnswer: 2, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -15 - (9 - 11 - 9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/(-256))\/((-2)\/(-48)). Let z(x) = -x**3 + x**2 - 3*x + 3. Calculate z(f).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3422510419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1630)\/7335)\/((-4)\/(-30) + 0)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-16)\/(-8) + (-27)\/2 and (-4599)\/(-189)*(38\/44 - 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m - 9. Suppose 0 = 2*t - 2*n + 74, 4*t - n = 4*n - 152. Let f = t + 35. Let z(i) = -i + 3. Calculate f*s(a) + 7*z(a).\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2*(25\/(-10) + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 363 and 198.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca47b7 (base 14) in base 2?\nAnswer: -11010001000011111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*d + 54*d**2 - 31*d**2 + 22 - 24*d**2 + 3*d**2 in the form i + r*d + p*d**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54105, -53393, -52681, -51969?\n\"Answer: 712*p - 54817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6 - 4 + 7*c - c**2 + 0*c**2 + 3. Let x be z(4). What is the greatest common factor of 15 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 = -4*m - 3*p + 723, -4*p = 10*m - 1432. What is the highest common factor of m and 945?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -53.9, 6.8, -0.1, -0.4, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.16 * 0.01458.\nAnswer: 0.0023328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*4\/105*230\/92?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 840\/90*1998\/259.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/121396 and 53\/2046?\nAnswer: 364188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 50 (b) -2 (c) -3 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24\/(-6) - 1 - -420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:53 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 41. Let r be (12\/(-18))\/(2\/j). Suppose -3*f + 0*u = u - 7, r*f + 17 = -5*u. Solve p - f*v = -2*p, -2*v + 26 = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8615034 (base 10) to base 11\nAnswer: 495466a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-14) - (-27 - (-17 - 8))) + -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(63\/14)*(-12)\/16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (9 - (72 - 60))*8\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12600, -2\/11, 2\/187, 3 in decreasing order.\nAnswer: 12600, 3, 2\/187, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 5*s - s**2 + 0*s**2 - 4*s.\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17) + -4)**2 + sqrt(17) + sqrt(17) + 5.\nAnswer: -14*sqrt(17) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 157640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 7, -219216?\nAnswer: -219216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/2 - 2811505*s\/2 = 0. What is s?\nAnswer: -2811505, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3 = q, 213*q - 217*q + 6 = 2*g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 y when three letters picked without replacement from qmxay.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 336*o - 4. Let q(s) = 84*s**2. Give q(g(m)).\nAnswer: 9483264*m**2 - 225792*m + 1344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*h - 4. Let q(y) = 3*y**2 - 6*y**3 + y - h*y**2. Suppose 3 = d + 2. What is q(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 4. Let s be m(-3). Let j = s + -1. Suppose 16 = -j*g + 4*g. Calculate the remainder when g is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1747820 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, e: 5, o: 1, f: 1, c: 3, l: 1}. What is prob of picking 3 c and 1 f?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145851, 291623, 437391, 583155, 728915?\nAnswer: 874671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = 20*t - 6*t - 896. Which is smaller: t or 211?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18450337.\nAnswer: 347, 53171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = m. Suppose -s = 4, m*s + 60 = 5*k + 5*s. Suppose 2553 + 6815 = k*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Let i = -10 + 12. Solve j = m - i*m - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let l(o) = -3*o + 9. Let k(i) = -l(i) + 2*t(i). Let m be k(0). Let w = m + 31. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7016 - -49024\/7. Let f = 873\/70 + s. Which is the fourth biggest value? (a) -0.4 (b) 0.4 (c) f (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -32. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -36, -75, -138, -231, -360, -531, -750?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37796*b = 37580*b + 3829 - 11173 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -51e059 (base 15) in base 13?\nAnswer: -a64a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g**3 + 9*g**3 + 20*g**3 + 6*g**3.\nAnswer: 65*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.5 and -0.02981?\nAnswer: 3.52981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(((-3)\/8)\/(21 + -16)). Which is greater: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210777781 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 21*c**2 - 19370*c - 367312. What is s(-19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away -105194145?\nAnswer: 105194152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-64)*(-640)\/(-200)*(10\/11)\/2?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1420591464 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/3)\/b)**24)**(2\/15)*((b*(b\/(b**0\/b))\/b*b)\/b)**14\/((b\/b**2*b)\/(b*((b\/(b\/(b*b**(-2\/5))*b))\/b)\/b*b)) assuming b is positive.\nAnswer: b**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**3 + 2. Let l be (0 - 0) + (-28)\/4. Let p = -1 - l. Suppose 0 = 5*c - 2*c - p. Let f(i) = 7*i**3 + 5. Determine c*f(u) - 5*m(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -300 - 1313?\nAnswer: -1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - 24. Let b = -39 - x. Suppose -110 = -b*j + 126. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71611548 to the power of 1\/2, to the nearest integer?\nAnswer: 8462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - ((12 - 26) + 6)) + (-3 - 1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 5*s - 48. Calculate the remainder when 42 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twwwlwtwwwwdw. Give prob of picking 1 l and 1 t.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 24, -5, -404927?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-14)*o)\/(o*o*o*o**(-9\/5)) assuming o is positive.\nAnswer: o**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 8*a + 1219. Let x be t(22). Put 4, x, 3 in decreasing order.\nAnswer: x, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - 2*k)*(-k + k + 3*k) + (k + 2*k - 2*k)*(3*k - 4*k + 3*k) - 3*k**2 - 6*k**2 + 1 + 2*k**2.\nAnswer: -11*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - x + 4. Let q be h(0). Suppose -q = -2*t + 20. Let y(u) = u + 25. What are the prime factors of y(t)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -4 + 30 + -15 - (62 + 2) - -14?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 13*p**3 - 4*p**2 + 9*p - 9. Let c(s) = 3*s**3 - s**2 + 2*s - 2. Suppose 0 = -3*a - 2 + 8. Give a*h(g) - 9*c(g).\nAnswer: -g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -37. Let h = -34 - s. What is the nearest to 1 in h, 2\/17, -0.1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1351, -1372, -1385, -1372, -1315, -1196?\n\"Answer: 3*r**3 - 14*r**2 - 1340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.98964739 - 0.01077261. Let b = -48.8 + 4.8. Let h = y - b. Round h to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 - 111. Let t = o + 74. Is 2 a factor of t\/(-39) - (-44)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 4*s + 4, -z + 5*s = 15 + 16 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 727520.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006711152 rounded to 6 dps?\nAnswer: -0.000671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1654 (base 12) in base 9?\nAnswer: -3571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4190276240?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10245792, -20491591, -30737394, -40983201, -51229012, -61474827, -71720646?\n\"Answer: -2*y**2 - 10245793*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (1 + -4 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/(-20))\/((-1)\/10). Let p be (-1111)\/(-66) + 2\/12. Is g not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 228833, 0.2 in decreasing order.\nAnswer: 228833, 0.2, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 339628 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - 9*m + 8. Let v(d) = -d + 1. Suppose 4*i = 3*u + 10, -3*u + 26 = -u + 2*i. Give u*v(q) - p(q).\nAnswer: -3*q**2 + 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1530372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -17. What is the units digit of (h\/(-3))\/(-3)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1190.543 to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*((-60)\/(-3))\/5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2\/13*o**2 - 4*o - 54\/13 = 0?\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101d58 (base 14) to base 7.\nAnswer: 4421441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/11 - 36*r\/11 = 0. Calculate r.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1849\/4 greater than -461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 158.67 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/725868 and 31\/38610?\nAnswer: 3629340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46977 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 503793.387 rounded to the nearest one thousand?\nAnswer: 504000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:30 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 3129, 13214, 34469, 71010, 126953, 206414, 313509?\nAnswer: 452354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -1\/30*j**5 - 5\/12*j**2 + 5\/24*j**4 - 1\/6*j**3 + 2\/3*j + 9. Solve h(b) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5406641 (base 7) to base 16.\nAnswer: a09be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085500 rounded to the nearest ten thousand?\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(3 + -4) - -120. Suppose -2*a + 114 = -n, 0*a + 5*n = 2*a - f. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, -77, 3 in decreasing order.\nAnswer: 3, -46, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2002, -2001, -2000, -1999, -1998?\n\"Answer: x - 2003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 1138 = 977 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4239 divided by 9.\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -412615*-6\nAnswer: 2475690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 240800?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, f: 3}. Give prob of picking 3 f and 1 x.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 22. Let t(a) = 2*a**2 - 5. Let h(z) = -10*z**2 - z + 25. Let k(o) = 2*h(o) + 11*t(o). Calculate the remainder when k(-4) is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**2 + f + 3. Suppose 4*g - 869 = -7*g. Let x = g + -82. Let l(r) = -4*r**2 - r - 3. Let i be (-68)\/(-374) + 46\/(-11) + 0. Give i*l(o) + x*n(o).\nAnswer: o**2 + o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 22*d - 4. Let n(l) = -3 + 5 - 7 + 3. Let p(x) = 2*n(x) - s(x). Let t(h) be the second derivative of -h**4\/4 - 5*h. Determine p(t(z)).\nAnswer: 66*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a**2 - a + a)*(-1 - 3 + 3) + (-2231*a**2 + 13891*a**2 - 1010*a**2)*(5 - 1 - 5) - 3*a**2 - a + a to q*a**2 + c + x*a and give q.\nAnswer: -10651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 42.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4448989933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2\/17 - 100*h\/17 - 208\/17 = 0.\nAnswer: -2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 3923.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**3 + 2400*p**2 + 55676*p + 218880 = 0?\nAnswer: -576, -19, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 4*p - 79 - 88 + 168.\nAnswer: -9*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -120 (b) -2\/59 (c) 2 (d) 0.4 (e) -0.2 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-8)\/10*14\/224*60.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -3, 3\/31, 1, 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -202 + 3954*z - 33385*z + 202 as n*z + y and give n.\nAnswer: -29431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tetttttette. What is prob of sequence tee?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4143424 - 2?\nAnswer: 4143422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-3))\/(45\/(-27)). Put i, -0.3, 0.1 in ascending order.\nAnswer: i, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -159d8 - -2?\nAnswer: -159d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = u - 24*u. What is the second biggest value in 1\/3, 12, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + n + 5. Let q be -4 - (-2 - -1)*1. Let s(r) = 10*r + 5. Let h be s(0). Let i(a) = -a**2 + 2*a + 9. Determine h*g(d) + q*i(d).\nAnswer: -2*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/2 and -85\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 + -122. Let i be 8\/(-45) - 3\/(f\/(-4)). Let a = 362 - 364. Sort -5, i, a in decreasing order.\nAnswer: i, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 1241, 0.1, 5151?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 44326.16 rounded to the nearest ten?\nAnswer: 44330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/81, -1\/6, 3\/4 in decreasing order.\nAnswer: 3, 3\/4, 2\/81, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 36, 75, 114, 153?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -1022203001300?\nAnswer: 1022203001302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 5:27 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-658)\/(-1078) + (-3)\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-4)\/8*-84. Which is smaller: p or -82?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107957935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 1. Let h(z) = -55*z**2 - 11. Give -h(t) - 11*o(t).\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 5*h + 21, 9*v - 1809*h = -1812*h + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**5\/20 - 3*g**4\/4 + 11*g**3\/6 + 7*g**2 + 12*g. Let s be (-110)\/44 + (33\/(-6) - 2). Calculate r(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385063100 to the power of 1\/2, to the nearest integer?\nAnswer: 19623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*v - 74, -q + 0*v - 25 = -v. Let c = 29 + q. Let i(p) = 16*p + 19. Is 25 a factor of i(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2. Let u(s) = -86*s + 6. Let d(f) = 2581*f - 178. Let a(i) = -3*d(i) - 89*u(i). Give p(a(l)).\nAnswer: 15842*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, r: 2}. What is prob of picking 1 b and 1 r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -68.8676.\nAnswer: -344.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -14.7 less than -0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2401506995?\nAnswer: 5, 19, 25279021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + 4184 + -4 - -7. Suppose 23*f - 60*f = -o. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -276050000 rounded to the nearest one million?\nAnswer: -276000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((10 - 12) + (0 - -2))\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 391 divide 4459604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 + -60. Let t be (0\/1 + -6)\/(u - 6). Solve 0 = t*v - 0*v + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12151\/2095*(-1 + 11)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 6 = 3*k, 0 = 3*g - 2*k - 323. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*7454706\/(-39) - 0. Let r = 382017 + a. Let p = r + 276. Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 1, 2.\nAnswer: 1, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + ((sqrt(44)\/sqrt(4))**2 + -5 - (sqrt(11) + sqrt(44))*-4) + ((sqrt(660) - -1*sqrt(660))\/sqrt(12))\/((sqrt(40)*-2 + sqrt(40))\/sqrt(8)))*4.\nAnswer: 32 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417\/(-26)*-5*2.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21311*f + 21315*f = 36 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 - (2 + -3 + 2). Is (-8)\/(-28) + (-243)\/l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*p - p + 23*p)*(1 - 2*p**4 + p**2 - p**2).\nAnswer: -170*p**5 + 85*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -5, 0.4, 0.072?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/19 + 31\/76. Let l be (-1 + 14\/6)*5*6\/160. Which is the closest to y? (a) l (b) 1.4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*t - 51*t = -140. Suppose 176*d = 169*d + t. Solve 0 = 4*p - 2*x + 14, x - 5 = d*p + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 10*j - 10. Let x(z) be the third derivative of -z**4\/24 + z**3\/6 + 10*z**2. Let i(v) = 2*h(v) + 20*x(v). Let d(t) = t. What is i(d(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 47 = -5*b, -4*s + 35 = -s + 2*b. What is the lowest common multiple of s and 112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, y: 9}. Give prob of sequence wwy.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/11 or -392\/149?\nAnswer: -392\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 14 = -0. Let n = -18 - a. Let z = 0 + -1. Sort z, n, 0.\nAnswer: n, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146 or 25?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -1, -4, 1\/2, -3.5 in decreasing order.\nAnswer: 1\/2, -1, -3.5, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**8\/168 - j**7\/105 + j**6\/20 + j**5\/6 + j**4\/6 - 8*j**2 - 316*j. Factor u(h).\nAnswer: -2*h*(h - 2)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d + 2*t = -20, -4*t = 0. Let i(b) = -b - 16. Let z be i(d). Let a be 77\/z - (-90)\/108. Which is bigger: -94\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-8)\/(v**3\/v)*v*v*v**(-1\/15)*v*v\/v**21 assuming v is positive.\nAnswer: v**(-406\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -206 + 365. Let n = w - 160. Sort -2, 2\/9, -1\/7, n in ascending order.\nAnswer: -2, n, -1\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 24 = a, -91279*r + 91278*r - 5*a = -96 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Let j = 46641\/11 - 4240. Which is the third biggest value? (a) 5 (b) u (c) 1\/6 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1165 + -237.9886\nAnswer: 927.0114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + 1 + sqrt(425) + 2).\nAnswer: -10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -44e1f0 (base 16) to base 15\nAnswer: -5e2878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/30*4\/(-8)*-108*(-49)\/(-735).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Suppose 0 = 2*z - 2*d + 10, 3*z + 3*d = 14 + 1. Suppose -i + z*i + j = 0, 0 = -j + 2. Solve r = i*x - 5 + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x**(-5)\/x)))\/((x**(-2\/23)\/x)\/x))**(-42) assuming x is positive.\nAnswer: x**(2814\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 7*z - 20. Suppose -41*l + 13693 = 13365. Give y(l).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -2\/13, 0.1, -2\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -2\/3 (b) 5 (c) 1\/72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 399122, 798160, 1197200, 1596242, 1995286, 2394332?\n\"Answer: k**2 + 399035*k + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42793, 168660, 378437, 672124, 1049721, 1511228, 2056645?\n\"Answer: 41955*a**2 + 2*a + 836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 1\/6*q**2 + 1 + 2\/3*q - 1\/9*q**3. Suppose s(u) = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywywwyywyywwyiwwww. What is prob of sequence wi?\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + (3 - 0) - (-52 + 42).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, -4, -1 in descending order.\nAnswer: -1, -4, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(1900)).\nAnswer: -20*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-26)\/(q\/(q*q*q\/q**(-4\/15)*q)) assuming q is positive.\nAnswer: q**(-341\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r - 3*m = 6*r - 41, -36*m + 40*m - 16 = 2*r + 22 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**6*r**2 - 132684*f**3*r**2 + 4*f**2*r**2 + f + 3*r**2 + 6222*r wrt f?\nAnswer: 360*f**3*r**2 - 796104*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 8 + 10*j + 8.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -127, -120 in decreasing order.\nAnswer: 4, -120, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3962521757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + -0.44. Let j = -292.01 + -1.99. Let t = -295 - j. What is the second smallest value in t, g, 0, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwpwwwwwww. What is prob of sequence ww?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84804 is divided by 4988.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2078563919 + 32.\nAnswer: -2078563887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 1 - 3 - -8. Let v be (28\/n)\/(2\/3). Suppose p - v = -4. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = -u - 2, 11 = 4*u + 3*d. Let h be 39*138\/54 - u\/3. Suppose -h = -5*c + 255. What are the prime factors of c?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7054.758kg in nanograms?\nAnswer: 7054758000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.2 and 5902.\nAnswer: 5903.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert dcb (base 15) to base 8.\nAnswer: 6054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -226295\/3 + 75432. Let f = 3 - 9. What is the nearest to 2\/5 in f, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 3*i - 2. Let l be j(-2). Let p be 72*((-4)\/(-6) + l). What is the highest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 2*v**2 - v. Let c(d) = -357*d**3 - 12*d**2 - 526*d. Let n(m) = -c(m) - 6*r(m). What is the second derivative of n(q) wrt q?\nAnswer: 2106*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 5. Suppose 3 = 4*x + 3*h - 15, -i*h + 19 = 3*x. Suppose 0*k - 3*k + 9 = x*n, -3*k + 5*n = -25. Solve -2*z - v = -3 + 1, -5*z - 5 = k*v for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.15 smaller than -4\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -77564.8 times -0.06\nAnswer: 4653.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -20*s - 545500000. Round s to the nearest one million.\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59.08 - -73.1. Let t = y + -14.1. Which is the closest to -0.1? (a) -3\/5 (b) 0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 272 - 55a?\nAnswer: -2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 30726.\nAnswer: -3, -2, 30726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + (-22 + 42 - -115).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 543, -14, 17 in descending order.\nAnswer: 543, 17, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3 in ascending order.\nAnswer: -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3931 - 115.6069. What is the third smallest value in -0.032, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u - 1443 = -67*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.016713 kilograms in micrograms?\nAnswer: 6016713000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12327 (b) 2 (c) 3\/5 (d) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 10)*6\/4. Suppose -h = -3*b - 0*b. Suppose 0 = -b*v - 5 + 15. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-14)\/28*(8 + 0). What is the lowest common multiple of 2 and i\/(-6) - ((-4045)\/30 + 3)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 25*o**2 - 48*o - 42. Let b = 381 - 404. Calculate the lowest common multiple of 8 and y(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -1 (c) -3 (d) -0.1 (e) 0.4 (f) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 - 3. Let m(z) = 3925*z - 3925*z - z**2. Give l(m(j)).\nAnswer: -4*j**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1 = -3*o, 3*o - 2 = f - 13. Let i = f - -1. Suppose i*p + 62 = 5*v - 92, -5*v - p = -162. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113056251857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15228 and 120.\nAnswer: 152280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3 + 38*d**2 + 37928*d + 37888 = 0.\nAnswer: -128, -1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/13156 - 6577\/13156. Let t = 0.2 - 0.6. What is the second smallest value in t, 5, 1\/2, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42681608119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 74*r**2 + 58*r + 395. Give n(-73).\nAnswer: 1490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 8*r**2 - 48*r + 160. Let i be x(11). Let w(u) = 4*u**2 + u - 1. Let v(y) = -3*y + 4*y - 2*y**2 - 1 + 5*y**2. What is i*v(f) + 4*w(f)?\nAnswer: f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 2:57 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 159. Suppose -35*x = -a + 48. Solve -x*u = -h + u + 9, -2*h + 4*u = -14 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7183191 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1233, 2370, 3419, 4374, 5229, 5978, 6615, 7134?\nAnswer: 7529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1371 is divided by 320.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9*i + 0 + 2\/9*i**2.\nAnswer: 2*i*(i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4284954815?\nAnswer: 5, 856990963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*r - 61 = r, -3*r + 51 = 3*z. Suppose 6*h + 3*o = 2*h - 26, -3*o = -4*h - z. Let k(g) = -g - 2. Give k(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -72518, -72524, -72530, -72536, -72542?\n\"Answer: -6*w - 72512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -2) + 30\/50*-5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.963143 months in centuries?\nAnswer: 0.0191359525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44522510 is divided by 1651?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bx when two letters picked without replacement from xjbjxqqmjajaajaaa?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i = -36. Suppose -d + 2*w - 3*w - 150 = 0, 5*w = -15. What is the remainder when i is divided by d\/(-15) + 1\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + -29 - (-8 + 11 + 14) - -15\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/(-9) - (-590)\/(-177)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202164 is divided by 100223?\nAnswer: 1718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**4 - 21*v**3 - 5*v + 202?\nAnswer: 36*v**2 - 126*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k - 2 + 4 + 4 - k**2. What is the units digit of w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 12*u - z - 560 = 0, -u - 5*z + 86 = 0. Calculate the greatest common factor of 111 and u.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44289 to two decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g + 11. Let q(f) = -f - 1. Let z(l) = h(l) + 3*q(l). Let j be z(6). Solve 3*o = -2*c - 11, 3*o - 2*c = -j*o + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320139, 640276, 960413?\nAnswer: 1280550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -35*o + 16. Let j(x) = 22*x - 10. Let v(s) = 8*j(s) + 5*u(s). Let b(l) = -59*l**2 + 10*l. What is b(v(k))?\nAnswer: -59*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133625 is divided by 1096?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2)*(-111*b + 1 - 2*b**2 - 107*b + 214*b) in the form p*b + w + r*b**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21458 - 19842. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.3 - -4.7. Let i = -5 + 5. Let x = 0.5 - i. What is the second smallest value in 2, x, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242304990 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-3 - -4) + 2. Suppose -b*z = 5*v - 15, 4*v - 15 = z - 3. What is the closest to z in -1, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.61197l in millilitres?\nAnswer: 9611.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*m + 3*n - 58, 8*n - 13 = m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -119, -353, -589, -827, -1067, -1309, -1553?\n\"Answer: -p**2 - 231*p + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**25*m*m**(1\/7))\/(m\/m**12)**37 assuming m is positive.\nAnswer: m**(3032\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 594*a - 152 wrt a?\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79406233 rounded to the nearest 1000000?\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.6 and -1.9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, d: 5}. What is prob of sequence dd?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3136 is divided by 47.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**2*z**(-1\/9)*z)**(-12))**(6\/7) assuming z is positive.\nAnswer: z**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b90b9 (base 12) in base 15?\nAnswer: -9ae66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 260, 0.05, 3, 0.5, 0, 5 in decreasing order.\nAnswer: 260, 5, 3, 0.5, 0.05, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 5) to base 2\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -19*h**2 - 7*h + 8. Let z(k) = 20*k**2 + 6*k - 7. Give 5*x(i) + 6*z(i).\nAnswer: 25*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.309 and 1458.\nAnswer: -450.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 1. Let c be (-1*9\/12)\/((-10)\/(-80)). Let q(b) = 4*b**3 + b + 6. Let w be (8\/(-4) + 4)\/(-2). Determine c*t(z) + w*q(z).\nAnswer: 2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3)*r)**(-9))**(-37\/4)*((r\/(r\/r**(-2\/5)))\/r)**(-47)*((r*r*r**(3\/7)\/r)\/r*r*r)\/(r\/r**(-1\/5)) assuming r is positive.\nAnswer: r**(28809\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 38.2. Let l = 0.8 + c. Let i = l - -2.9. What is the nearest to i in -3, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -5*b + b + 3*b. Let i be 5\/(15\/6) - 0. Let j(p) = -p. Let o(x) = i*j(x) + 2*y(x). Let z(h) = -2*h. Give z(o(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301713 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 3 + 21 = 0. Let v = -0.064 - 0.046. Let p = 0.01 + v. What is the closest to p in f, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -20 - (1 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 43 - 5\/(20\/16). What is the highest common divisor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 3:43 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxobpopr. What is prob of picking 2 p and 1 x?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*c**3 - 450*c**3 - 179618*c + 179618*c.\nAnswer: -563*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*173417\nAnswer: -17341.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 26 = -66. Let r(m) = 10*m**2 + 2*m - 12. Let d be (-2)\/2*(-2)\/(-1). Let t(y) = -3*y**2 - y + 4. Let l(g) = d*r(g) - 7*t(g). What is l(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -21*o**2 + 24*o + 1. Let b be a(6). Let m = b - -611. Let v(s) = -s**2 + s + 44. What is v(m)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-50)\/(-2)))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-3)*-8*(-66)\/(-2728)?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - r = -3, 8*r - 6*r - 6 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93560, 374359, 842376, 1497611, 2340064, 3369735?\nAnswer: 4586624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 144*o**2. Let v(i) = -11*i**2. Calculate -3*q(j) - 40*v(j).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-9)*9)\/1. Suppose -s + 5 = r*i, 2*s - 1 = s + i. Solve 3*x - 5 = -s*w, 2*w + 10 = x - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 2*u + 2*u)*(-u - u + 4*u) + 3*u - u**3 - 3*u + (-16 + 4 - 7)*(-2*u**2 - u**3 + 2*u**2).\nAnswer: 14*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -158380761?\nAnswer: -158380759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: df5 (base 16) to base 10\nAnswer: 3573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -3\/7 (b) 1\/8 (c) -3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 3:52 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 + 24 - 5 - 8 - 7. Let y(s) be the third derivative of -s**5\/60 - s**3\/6 - s**2. Calculate -p(f) - 5*y(f).\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-15)\/(-2))\/((-9)\/(-24))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 6:29 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1 = 7. Let l be -1*9\/(-1 + x). Suppose -l*a - 3 = -12. Solve a = -m - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5 + 1 - 94*t - 4. Is 50 a factor of i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 46\/230 - (-102)\/(-10). Which is the nearest to -0.29? (a) 2\/7 (b) h (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3077274?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1719.918 and 4.3?\nAnswer: 1715.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 7\/2) + (-9)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**3\/2 - 3*x**2\/2 - 18*x. Let s be m(-5). Solve 0 = -4*w + 2*z - s, 18 - 2 = -2*w - 4*z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -309*a**2 + 2. Let w(r) = 69576*r. Calculate w(z(o)).\nAnswer: -21498984*o**2 + 139152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2, 337265 in decreasing order.\nAnswer: 337265, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q + 19. Let b be m(0). Suppose -b*f - 697 = -36*f. What is the remainder when 122 is divided by f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 416976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c + 30. Let l be 52\/9 - c\/45. Let o(k) = k + 2. What is the units digit of o(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 7 + -4 + -7. Let s be 2*(-1)\/(((-5)\/t)\/(-5)). Let c = -30 - -29.5. Put 0.1, 0.3, s, c in decreasing order.\nAnswer: s, 0.3, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*h**(2\/9)))**33\/(h\/(h\/h**2))**(-2\/9))\/((h**(-6)*h**(-4\/3))\/(h**9*h**5)) assuming h is positive.\nAnswer: h**(-464\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*p - 30, 3*b - 4*b = -p + 9. Which is greater: b or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -3)*(-3)\/69. Let p = 4 - 4. Is k less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*i = 16. Let o be (-56)\/(-32) + (-2)\/i. Solve -2*k = -o*n + 5*n - 5, -4*n = -2*k + 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*o = -58, -35 = 2*v + 2*o + 79. Let y = v - -66. Suppose -y*k - 4*k = -1512. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 429504, -1, 5 in descending order.\nAnswer: 429504, 5, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*u + 27. What is the least common multiple of 21 + (-1 - -3 - 3) and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpqqxqkqq. Give prob of sequence xqq.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y - 20 + 32 - 14. Give c(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3 - 2 + 2*g + 3*g + 0*g. Let z(u) = 4*u. Let l(v) = 5*x(v) - 6*z(v). Determine l(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65643795.5721 + -16236.5721. Let u = -65627567.00000048 + o. Let r = 8 + u. Round r to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1550580 by -36060.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wbwwwbwwwww?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 1\/3 (c) -2\/9 (d) -16 (e) 15047\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -64565 (base 7) to base 3\nAnswer: -211001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53970)\/13878 + 2185\/585.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -2\/5 (c) 19 (d) 0.04 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x + 20. Calculate h(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-seven quarters of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20448 < 20445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*q - 29416 = -10862, -2*w = -2*q - 7416. What is w rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 1048*w + 274576.\nAnswer: (w + 524)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 2, g: 1, f: 8, w: 2}. Give prob of picking 1 n and 1 g.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l - 4. Let q be c(-6). Suppose -b = q - 7. Suppose 5*h - i = 28, -4*h = -h + b*i - 28. What is the remainder when 11 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 2*v**3 + 2*v**4 - v**2 - v**4 - 2*v**4 in the form h*v**3 + t*v**4 + w*v + n*v**2 + l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -27\/14, -5, 2833?\nAnswer: -27\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*o + 54 = 0, -10*p + 6*p = -o - 244. Suppose -66*i + p*i + 124 = 0. Is i bigger than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -566, -569, -572, -575, -578?\n\"Answer: -3*u - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 4, 73, -4, 7 in descending order.\nAnswer: 73, 22, 7, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 287, 576, 865, 1154?\n\"Answer: 289*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17*9\/1071)\/(2\/14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 490*i**3 - 475*i**2?\nAnswer: 2940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -5 + (sqrt(11)*5)**2 - (sqrt(11) - sqrt(55)\/sqrt(245)))*-4.\nAnswer: -1080 - 4*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -10, -3 in increasing order.\nAnswer: -10, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551500 is divided by 822.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6198810 divided by -3\nAnswer: 2066270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18468*w**3 + 107988*w**2 - 107988*w**2.\nAnswer: -18468*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.088, -2, 1, -31, -25.\nAnswer: -31, -25, -2, 0.088, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6150635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2\/(-3))*3. Suppose -5*q - 86 = 2*j, 17 = -4*j + v. Let z be (18\/48)\/((-2)\/q). Solve -g + 9 = -a - a, 0 = -4*a + z*g - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6525.7 - 6525.838243. What is i rounded to 3 dps?\nAnswer: -0.138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-47 - (-16 + 23))*(-1 - 1) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 - 60. What is the tens digit of (u + -1)*15\/20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.1 (b) -0.1 (c) -96 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 5. Suppose -h = -4*a + 12, 2*a + 12 = 2*h + 6*a. Let j(y) = -y + h*y - 7 - 2*y. Determine -7*g(b) - 5*j(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 140*u**2 + 11.\nAnswer: 140*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, g: 4, e: 1}. Give prob of picking 1 e and 2 h.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-54)\/28 - 5\/15*-3 and 2 + -4 + (-37)\/(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 10:56 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 914215 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 + 3. Determine c(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 2. Let f(z) be the second derivative of -z**4\/4 + 9*z**2\/2 + 2*z - 24. Let u(i) = -2*f(i) - 9*l(i). Let a(o) = -o**2 + 7*o. What is a(u(y))?\nAnswer: -9*y**4 - 21*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16828943 plus 25146637?\nAnswer: 25146637.16828943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1288*m + 2774*m - 1301*m + 6*m - 2*m - 3*m + (-2*m + m + 3*m)*(2 + 1 - 1) to the form x + i*m and give i.\nAnswer: 2766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 0.5, -100, -8\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -i + 2*i + 424, -3*i = p - 158. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -2*f**3\/3 + 7*f**2 + 4*f. Let p be c(3). Differentiate -17*l**2 + 380 - 13*l**p - 370 with respect to l.\nAnswer: -60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 5*o**2 + 6*o - 8. Let c be k(4). Suppose -5*u + 0*u + 5*a = 529990, u - 5*a + 105990 = c. What is u rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9\/(c\/(c*c\/(c*c\/(c**0\/c)))))**(-12)\/((c\/(c**(-2\/5)\/c)*c*c**7)\/(c*c*((c**2*c*c)\/c)\/c)**(-2\/121)) assuming c is positive.\nAnswer: c**(-57152\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 71 - -1122*115\/(-3910)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 11*z**2 + 6*z - 76. Suppose 29 = -c + 5*l, -499*c + 3*l - 46 = -501*c. Determine r(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2045.92 weeks?\nAnswer: 343714.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 + -20. Calculate the common denominator of (14\/h)\/(2\/12) and -53\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 344 or 343?\nAnswer: 343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 4*l + 55 = -4*i, -110*i + 17 = -105*i + 5*l - 43 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**3 - 3*m**3 - 33 + 16 + 17.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001111100010111011000101 + -11?\nAnswer: 110001111100010111011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8405, 8407, 8403, 8393, 8377, 8355, 8327?\n\"Answer: -3*o**2 + 11*o + 8397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -57950992 rounded to the nearest ten thousand?\nAnswer: -57950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 38?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 664, -16.4, 5 in increasing order.\nAnswer: -16.4, 5, 664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -381, -761, -1139, -1515, -1889, -2261?\n\"Answer: b**2 - 383*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2482977.\nAnswer: 3, 7, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 525\/70*532\/18. Let q = -221 + h. What is the third biggest value in q, 0.04, 0.06?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + m + 1. Let p(i) = i**2 - 2*i - 2. Suppose 55 = 4*x + 39. Suppose -x*y - r + 8 = 4*r, y - 2 = 5*r. Calculate y*p(f) + 3*t(f).\nAnswer: -f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*o - 1642 - 24458 = 0 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/15 + (-1 - 20\/(-3)). Solve -2*q + w = 2*q - 2*j, -j - 5 = -3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14 + 0.13997. What is i rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -24*a**4 - 1886*a**3 - 30662*a**2 - 17404*a - 2464 = 0.\nAnswer: -56, -22, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*k = -177 + 800, -5*k = -4*y + 617. Is 0*(-3)\/12*-4 + y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*x - 25 = -10*i, 2*i + 3*x - 15 = 0. Let g(c) = c**2 - c - 230. Let k be g(i). Calculate the remainder when k\/15*(-3)\/2 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 214 = 2*w + 10*g, 5*g - 1755 = -15*w. Solve -3*t + w - 128 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -946124, -946125, -946126, -946127, -946128?\nAnswer: -946129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5\/14*(-212)\/(-1060)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3659344*h**2 - 4*h**3 + 1 - 3659344*h**2.\nAnswer: -4*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*264884\/(-12))\/(16\/24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13419146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) 36 (c) -6.4 (d) -5\/2 (e) -69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 75 = -13*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b8 (base 15) to base 12\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m - 3*m + m**2 + 8*m - 3*m to the form s*m + a + t*m**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 3. Suppose 0 = -4*s - 4*v - 4, 1 = 2*v + 7. Let y(p) = 41*p - s - 33 - 14*p - 2*p. Calculate 35*j(r) + 3*y(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -347 + 362. Solve -8*l - h = -13*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 0*c**2 + 2*c + c**3 + 10*c**2 - 3*c + 2 - 10*c. Let i be f(-11). What is the third biggest value in -5, -1, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:07 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159*o**2 - o + 6*o - 165*o**2 to the form h + s*o + l*o**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*(sqrt(11) - sqrt(44)\/sqrt(4)) - 1*-1*sqrt(11)*-3.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-104)\/48 - (-1)\/(-6). Solve -m + 2 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = d + 2*d, d = -5*h - 60. List the prime factors of h\/44 + 253\/4.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -11. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**5\/60 + 3*f**2\/2 + 2*f. Let w(c) be the first derivative of i(c). Let b(q) = -q**2. Determine b(w(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1575 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1874.82?\nAnswer: 1870.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1017, 7689, 25737, 60849, 118713?\n\"Answer: 948*a**3 + 36*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 5) + 334722 + 1. Suppose 0 = -3*c + 5*c - i. Let d = -296362 + c. Round d to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2044414 is divided by 128?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.02, 2, -5, 2535, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) -8 (b) 0.5 (c) 1\/5 (d) -0.217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -t - 9, -5*t = 14*q - 19*q + 30. Let c(l) = l**4 - 3*l**3 - 2*l**2 + 22*l - 8. Let a(m) = -2*m. Let f(x) = t*a(x) - c(x). Factor f(p).\nAnswer: -(p - 2)**2*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3361aa9 (base 11) to base 14\nAnswer: -ad3c7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021*l - 1019*l - 5 = n, n + l = -5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-6 - -4 - -3))\/(-2). Suppose -2*k + 410 = 404. Sort k, -9, i in decreasing order.\nAnswer: k, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 7. Let d be ((z - -5) + -3)*0. Suppose d = -4*l + 8. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 1. Let j(o) = -3*o**3 + 3*o**2 - 2*o + 2. Give -2*d(t) + j(t).\nAnswer: -3*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 88*i**3 + 23*i**2 - 3*i + 60. Suppose c = -2*y + 39, -3*y - 4*c = -48 - 23. Let u be a(y). What is u rounded to the nearest 10000?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = 6. Suppose 3*c + v = -1. Let a be ((-9)\/(-3) - -25) + c. Solve 0*i - 5*m - a = -4*i, 5*i + 5*m - 20 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pspjjsssjspjjts. Give prob of picking 1 s and 1 j.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -272 + 36. Let c = d - -236.000113. What is c rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**2\/3 + 915950*n\/3 + 915949\/3 = 0.\nAnswer: -915949, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 363*t + 12 - 673*t + 334*t.\nAnswer: 24*t + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -1\/210*q**7 + 3*q**2 - 1\/24*q**4 + 0 + 0*q + 0*q**3 + 1\/60*q**5 + 1\/120*q**6. What is h in b(h) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 9697 = 1997. Calculate the least common multiple of 910 and j.\nAnswer: 50050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/15 + 1 + 66\/15. Suppose 4 = -s*w + 16. Which is the biggest value? (a) w (b) -5 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46*k**3*l + k**3 - 946*k**2*l + k**2 - 2*k*l + 3*k + 2*l + 18638 wrt l.\nAnswer: 46*k**3 - 946*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (2 + (-6)\/2). Suppose -o + 6*d - s*d + 100 = 0, -3*o - 2*d = -272. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 15655 = -8*w, -3*h + w + 2*w = -15633. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 70*k**2 - 62*k - 969. Give u(71).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 19*w**2 + w + 2. Let j(x) = 2*x**2. Let v(g) = -6*j(g) + z(g). Determine v(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/3)\/(1\/6). Let h = y + -5. Solve 0 = -3*p - 2*i + 17, 0*i = 4*p - h*i - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 1967*x - 1969*x - 10, 4*t + 3*x = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1776 and -23\/1554.\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 16, -76, -256, -554, -1000, -1624?\nAnswer: -2456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3\/29 - -37\/203. Let f = -31727\/3 + 10577. Which is the nearest to x? (a) 0.1 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6925737 is divided by 891.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(13) + 4)*2 + (sqrt(13) - (sqrt(832) - sqrt(13)))**2 + -4 + -2).\nAnswer: -940 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 1. Let t be g(5). Let f be t\/(-10) + 17\/5. Suppose f*n - n - k = 9, 0 = -5*n + k + 24. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*-0.24782.\nAnswer: 0.322166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 - -0.6. Let y = -3.00000002 + z. What is y rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 54479, 54485, 54487, 54479, 54455?\n\"Answer: -y**3 + 4*y**2 + y + 54475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (44\/(-66))\/(2*1\/(-6)). Sort -4, -1, y, -13.\nAnswer: -13, -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1124098 <= -1124101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1484*q + 84353 - 24619 - 32130 + 123764 for q.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 429350759 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(-1)*(-1329)\/(-1772)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2. Let m(a) be the first derivative of 0*a + 15 - 2*a**2 + 5\/3*a**3. Let g(c) = 11*c**2 - 9*c. Let i(v) = 4*g(v) - 9*m(v). Give i(u(b)).\nAnswer: -25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24032725?\nAnswer: 5, 449, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/4797790 and -95\/959558.\nAnswer: 4797790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 170, 346, 522, 698?\n\"Answer: 176*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*r + 9*r**2 + 3*r - r - 3*r**3.\nAnswer: -3*r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1560661\/45 - -34683. Let f = -299\/28 - -1\/84. What is the common denominator of o and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 32 = -4*a, 4*a - 5*g - 18461 = -18426 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.91148 + -1100409.91148. Let k = p - -1100386.99199941. Let f = k - -0.008. Round f to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -2*j**3\/3 + 10*j**2 - 18*j - 119. Factor a(m).\nAnswer: -2*(m - 9)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 371677820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifty-five halves of a microsecond?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17558 + 114*a**3 - 17627 - 1683*a**3 wrt a.\nAnswer: -4707*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 7751050 <= 7751051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-5 + 8 - 3*b + 15) + (1 - 4*b - 1)*(-4 + 0 + 2).\nAnswer: 2*b + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*v - 0, -y + 3*v + 82 = 0. Let h = -56 + y. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(275) + 5.\nAnswer: 5 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 100171*l**3\/6 + 3*l**2\/2 + 9*l. Let p be g(5). Let n = p - 870858. What is n rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 27 = 11*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-756)\/24)\/7*6\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38406894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = j. Suppose j*l + 10 = -2. Is 539 + 2 + 2 + l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604282 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1896*c**3 + 278*c + 991 + 72*c**2 - 73*c**2 - 988 wrt c.\nAnswer: -11376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 52515 + 9db?\nAnswer: 53112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3991\/574 - -124\/41. Let f = -7\/2 - j. Which is the nearest to 2\/3? (a) f (b) -1\/6 (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 5*i - u, 2*i - 3*u = -u - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o + o)*(-820*o - 1622*o**2 - 740*o**2 + 820*o).\nAnswer: -11810*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2374, -3857, -6328, -9787, -14234, -19669, -26092?\nAnswer: -33503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4*f**2 + a**3*c*f + 102*a**3*f**2 - 56*a**2*c*f**2 + 2*a**2*c - 3*a*f**2 wrt a.\nAnswer: -48*a*f**2 + 6*c*f + 612*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (2 - (-4 + 14))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6338 + 6338 + n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 808\/3 + 6\/9. Suppose -2*a - 3*a = -c. Suppose 3*w = -21 + a. Let s(z) = -8*z + 3. Let g(d) = 3*d - 1. Give w*g(y) + 4*s(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Let x(d) be the third derivative of 37*d**4\/24 + 20*d**2. Determine z(x(a)).\nAnswer: -37*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 411211000 to the nearest one million.\nAnswer: 411000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 186313 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**2*q**2 + 618*c**2*q - 30*c**2 - 18*c + 40879*q**2 wrt c.\nAnswer: -6*q**2 + 1236*q - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214 - (1 + (-2)\/2).\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 14 + 10 + 24 + 4*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1515*r + 1580*r - 3095*r + 11371*r**2 to y*r**2 + b*r + i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b + 2697 = 13*b + 2263 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 886 - 887. Sort l, 0.3, 2\/3, 77 in increasing order.\nAnswer: l, 0.3, 2\/3, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 - 182996*m\/5 - 8371884004\/5.\nAnswer: -(m + 91498)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34438 and 6682.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -201 - 308*l + 201 + 300*l. Let t(y) = -2*y**2 + 123. What is n(t(j))?\nAnswer: 16*j**2 - 984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39 and 2?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-3)\/(-14 - 4). Which is smaller: t or 22?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2443*k + 10981 = -52537 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.22 + 1.90506259.\nAnswer: 0.68506259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 236 and 166?\nAnswer: 19588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2066534808 to the nearest integer?\nAnswer: 45459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 5. Suppose -2*y - 4*s = 0, y + s + 0 = -3. Let c be ((-2)\/6)\/(y\/90). Suppose 34 = -5*w + 3*o, -w - 3*o + c = 1. What is a(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*u - 87*u - 5*c + 14 = 0, 5*u - 12*c = -5 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 1.2556.\nAnswer: -3.7668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (40\/(-30))\/(((-4)\/(-3))\/(-2)). Let w(i) = 4*i - 3. Let n be w(a). Solve -t + 13 = 4*k, -2*k - 2 = -3*t - n for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3593192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7758 + -7714. Solve -15*w + 149 - y = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 7 = -4*k + 2, -2*k + 5*m + 9 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -9\/10, -4\/5, -5, -0.3, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34759327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*r + 40*r + 5*c = -275, -2*c + 548 = 2*r + 516 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 529504, 529502, 529500, 529498, 529496, 529494?\nAnswer: 529492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b - 4*b - 3*b + 5*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from xuxxxyuuupuxuupg?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/9 and (-42)\/(-15)*165\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n**3 + 251*n**2 - 2193*n - 49382. What is s(-23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.056 and 0.7.\nAnswer: -0.0392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) + 222\/8. Let a be 24 - (42\/(-7))\/((-3)\/2). Suppose a + k = p. Does 24 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -10, -4*a = -4*k + 7*k - 151. Suppose k = b - 5*y, -4*b + 3*y + 182 = -2*y. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1318841125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -676 = -9*a + 4*a - 2*y, -399 = -3*a + y. Suppose -10*w = a - 474. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-6783)*-17*-7*(-18)\/(-14)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (3 - -22) + -28.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 76, 102, 128, 148, 156, 146?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*o - 4*h = 45*o - 15, -5*o + 5*h - 45 = 0. Let i be 1\/(-10)*(-5)\/(-2). Which is the nearest to i? (a) 3 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5304*o - 5451*o - 5288*o + 16075*o + 1.\nAnswer: 32*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250 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 u(w) be the first derivative of w**2 + 2657. Let y(r) = 6*r - 39. Determine y(u(c)).\nAnswer: 12*c - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 912135 divided by 365\nAnswer: 2499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 (base 8) in base 5?\nAnswer: 4042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 64\/3. Which is smaller: -0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1201, -592, -3591, -7802, -13231, -19884, -27767?\n\"Answer: -g**3 - 597*g**2 + 5*g + 1794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281963342 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -516 = 13*p - 17*p. Let u = 132 - p. Solve -u*d - 24 = -4*z, -5*z - 3*d + 0 + 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19049747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/8, 10, -0.052, 0.5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*w + 35 = 0. Suppose 5 = 2*f - w*a - 9, 0 = 3*f + 3*a. Suppose -5*g + 2*g - 38 = -f*k, 5*g = -3*k - 38. Is -12 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15082, 16339, 17598, 18859, 20122, 21387, 22654?\n\"Answer: i**2 + 1254*i + 13827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*g + 10, 0 = -5*g + b - 9 - 36. Sort 4, g, 3 in decreasing order.\nAnswer: 4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.059 - -0.059. Sort -6, -0.1, 4, z in decreasing order.\nAnswer: 4, -0.1, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 15) to base 9\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/5, -0.057, -6\/7, 0.1, -0.4, 4, 23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.149 - 1.231. Let t = k + 0.38. Which is the biggest value? (a) 3 (b) 19 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2. Let j(b) = b - 2. Let q(v) be the first derivative of 7*v - 1 - 3\/2*v**2. Let p(h) = 14*j(h) + 4*q(h). What is p(z(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - c + 7. Let r(x) = 1. Let l = -118 - -119. Determine l*k(w) - 5*r(w).\nAnswer: w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 1 = 5*z + 3, 4*z = -5*i - 10. Suppose 0 = -3*h + 3*t, 3*h = -z*h - 4*t + 21. Factor -2*v**3 - 2*v + 0*v**h + 7*v**2 - 11*v**2.\nAnswer: -2*v*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 50\/9, -1\/3, 14, -0.45 in decreasing order.\nAnswer: 14, 50\/9, 1, -1\/3, -0.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2.53.\nAnswer: -7.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + p + 4. Calculate i(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3868954 grams?\nAnswer: 386.8954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 0*g**2 - 19*g**2 + 1 - 1 - 2*g**2 + (0*g + 2*g - 3*g)*(-3*g - 2*g + 6*g) - g**2 + 5*g**2 - 3*g**2 - 4*g**2 + 4*g**2 - g**2.\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6805*c + 93*c**3 - 6741*c + 44*c**3.\nAnswer: 137*c**3 + 64*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**6\/90 - d**5\/15 - d**4\/12 - 8*d**2. Let x(u) be the second derivative of o(u). What is the derivative of x(y) wrt y?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6 + -4 + 5)*(-406)\/10 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*43828\nAnswer: -17531.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 7*m - 3. Let q be z(6). Let n be -1 + 1 + (7 - q). What is the nearest to 0 in 0.06, -0.5, n?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88.0783024875 + -0.4\nAnswer: 87.6783024875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40649867047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - -4. Let h(i) = i**2 + 5*i - 3. Let q be h(-6). Suppose 20 - 8 = 3*b. Solve -7 = b*d - d - g, -q*d = 5*g + k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -35, -8955 in descending order.\nAnswer: 3, -35, -8955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*1959.\nAnswer: -19590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -389855850 divided by -6?\nAnswer: 64975975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2\/7 - 2800027*r\/7 - 400004 = 0.\nAnswer: -1, 2800028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qe when two letters picked without replacement from {q: 4, g: 3, e: 6}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 2*j - 1. Let t be q(-1). Suppose t = -k - 0*k + 7. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Let a be (-20)\/3 - (-2)\/u. Let x(t) = -t**2 - 6*t + 2. What are the prime factors of x(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 23*w + 16*w - 69*w + 23*w. Let d be (-15 - -16)*-1*(-3)\/3. Calculate g(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-9) + (-76)\/(-18). Let g be x\/(-30) - 17\/(-15). Does 20 divide 73 + -2 + g + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35599771 rounded to the nearest 1000?\nAnswer: -35600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3114 + -4782. Find the common denominator of -5 + j\/(-140) + -7 and 47\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*v**4 - 262*v**3 - 1310*v**2 - 738*v + 324 = 0. Calculate v.\nAnswer: -9, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16483.53mg to nanograms.\nAnswer: 16483530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 10) to base 2.\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19376 - -1\nAnswer: 19377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - 31201?\nAnswer: -31220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1472 and -15\/7544.\nAnswer: 60352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 2)\/((-2)\/28). Suppose -3*i + k = -i - 4*q, -5*i + 105 = -3*q. Suppose o - 4*v + i = -2*o, -2*o + 2*v = 14. Is o at most as big as -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 o when four letters picked without replacement from {a: 1, t: 6, o: 2, m: 4, c: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + o**2 + 2*o**2)*(5*o**3 - 4*o**3 + 0*o**3) + (-7*o**4 - 10*o**3 + 10*o**3)*(0*o + 6*o + 6*o) - 4*o**5 + o**5 + o**5.\nAnswer: -85*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3416*t**4 - 3802*t**4 + 5747*t**4)*(1 + 0 - 2).\nAnswer: 1471*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -6.3263086?\nAnswer: 2.53052344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4762773+-3716\nAnswer: -4766489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 - 41745*q + 30186468.\nAnswer: -3*(q - 689)*(q + 14604)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 963\/(-10165) - -2*1\/(-19)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 174993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.5 (b) 2\/9 (c) 0.4 (d) 163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*z = -55*z + 267*z - 26*z - 23805 for z.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - i - 2*i)*(-4 + 1 + 2) - 1 + 1 + i + (-1 + 7 - 9)*(-3*i + 0*i + 5*i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-42)*(-24)\/80. Put 2, -10, c in ascending order.\nAnswer: -10, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 59494992 and 29747496.\nAnswer: 59494992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65.902 + -66. What is the third smallest value in 0.4, z, -1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 5*r - 4. Let z be k(3). Suppose 6*y = 3*y. Let o = 375 - 372. Solve y = -o*b + z*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65*f + 75*f - 119*f + 3*f - 4*f + 3*f + (-1 - 2 + 4)*(3*f - 3*f - f) + 2 - 2 + 2*f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 38312 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*g**4*k**3 - 36*g**4*k**2 + 9*g**3 - 3*g**2*k**2 - 182*g*k**3 + 10*g*k wrt g.\nAnswer: -408*g*k**3 - 864*g*k**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -1\/4 (c) -3 (d) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(1\/(-1)))\/(-2). Let n(k) = -13*k - 112. Let y be n(-9). Suppose -g + 4 = 3*h, z*h - y*g = 2*h - 7. Solve h = u + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 341.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.21925 kilograms in grams?\nAnswer: 46219.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1422, 1178, 780, 234, -454?\n\"Answer: n**3 - 83*n**2 - 2*n + 1506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31990382*k**3*v - 23*k**2*v - 2*k**2 - 1293672*k*v wrt k.\nAnswer: -191942292*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 0*h**2 + h**2 - 2*h. Let j be 3\/((6 + -5)*-1) + 7 + 0. Let y(m) = -m**2 + 3*m + 2. What is j*l(g) + 2*y(g)?\nAnswer: 2*g**2 + 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1845200872 rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 309166 (base 11) to base 9.\nAnswer: 834411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t - 2. Suppose -3*r + 3 - 9 = 0. Sort r, t, -4 in increasing order.\nAnswer: -4, r, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l. Let k be c(3). Suppose k*u - 4*u - 133 = -3*a, 12 = -3*u. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3 - 5. Let i be 1*3 - (9 - y). What is the third smallest value in -0.1, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 28*t**2 + 25*t - 63. Suppose -4*u = -y + 104, -5*u + 1680*y - 1678*y - 127 = 0. What is z(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-7))\/(9197\/1094443)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0418 - 4.8682. Let g = k - 0.09. Which is the third biggest value? (a) -1\/5 (b) g (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2, -3, -3279740 in descending order.\nAnswer: 5, 3, 2, -3, -3279740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 111592918 and 4.\nAnswer: 446371672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2874a9 (base 11) in base 8?\nAnswer: 1555176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**5 - 4*j**5 + 0*j**5 + ((6*j - 4*j - 4*j)*(2*j**2 - 2 + 2) + 11*j**3 + 31*j - 31*j)*(2*j**2 - j**2 + j**2).\nAnswer: 16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39907\/3887 - -339\/169. Let t = j - -1003\/230. Find the common denominator of t and -3*274\/(-792)*2.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/374 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/12 + (-21)\/(-9). Let z be 0\/(-4) - -3*j. Solve 4*y = g - z*g - 17, 2*g + 10 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:32 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/((-2000)\/(-3024)))\/(77\/110).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 27027?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 14. Let q = k + -7. Let y = 2.7 - 3. What is the third smallest value in -1, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*q - 1986 - 8157. What is the lowest common multiple of q and 40\/(-3)*99\/(-55)?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 e when four letters picked without replacement from {b: 3, v: 3, e: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 705 + -711 - ((2 - 1) + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(270) + 2*sqrt(270)))\/(sqrt(640)*-4*3 + sqrt(640)).\nAnswer: -9*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25698 divided by 1\nAnswer: 25698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 14875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(18200\/2015)*20\/(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18658 - 26806 = -8*v. List the prime factors of v.\nAnswer: 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 536.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 41 + 36 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, -44, -98, -194, -344?\n\"Answer: -2*c**3 - 3*c**2 - c - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, o: 3, f: 1, g: 2, v: 3, h: 1}. What is prob of picking 1 g, 1 o, 1 v, and 1 h?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130 = 9*s - 35*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2 - 536*p + 2 + 194*p + 181*p. Let s(x) = -2*x**2 + 2. Determine v(s(n)).\nAnswer: 322*n**2 - 322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12880, 25712, 38560, 51430, 64328, 77260, 90232?\nAnswer: 103250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 4:28 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-735)\/140)\/(54\/(-360)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4303 or 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -3025?\nAnswer: -3025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2776.454 tonnes?\nAnswer: 2776454000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and 82.8.\nAnswer: -2649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -193 - -201. Which is greater: 5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157 by 11.\nAnswer: 157\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*b + 9. Suppose -q = -2*v + 3, 0 = 3*v + 2*v - b*q - 3. Suppose -4*p + 27 = -v*w, w + 7 = 5*p - 13. Solve p*m + 6 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 639517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Suppose -3*d + 6 = 5*z, -4*d - 12 = -z + 3. Suppose -k - 12 - 2 = 5*a, -2*k - 16 = 4*a. Sort q, a, z in increasing order.\nAnswer: a, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2500, -4842, -7174, -9490, -11784?\nAnswer: -14050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 565121 or 565119?\nAnswer: 565119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 4:22 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - ((-1 - 6) + 10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqfyq. Give prob of sequence fy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvsvvv. Give prob of picking 3 v.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1 = -6. Suppose 3*u + 2*y - 74 - q = 0, 5*y = u - 25. Suppose 2*m - u = -3*m. Solve 0 = -5*z - 4*g + 2, -3*g - 6 = -m*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 9*h**3 - 254*h**2 - 270*h + 524. Give q(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 161 and 184.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17976 take away 63?\nAnswer: -18039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 51*x**5\/20 - x**4\/6 + x**2\/2 + 7*x. Let j be u(1). Suppose j - 4 = 2*q. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 475 and 5575?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a kilogram in grams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 27\/5 (b) -0.3 (c) -1\/3 (d) 3 (e) -6 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/27)\/(199\/(11868957\/(-282)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**3 + 4*i**2 - 15*i + 20. Let g(f) = 3*f**3 + f**2 - 5*f + 7. Suppose 41 = 4*a - 3. Let d = -22 + a. Let u(p) = d*g(p) + 4*n(p). Calculate u(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 11*f - 26. Determine g(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 12575395?\nAnswer: 138329345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867498.77 rounded to the nearest 1000?\nAnswer: 1867000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 328*d + 20. Let r be c(13). Suppose -15*p + r = -5811. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -345, -780, -1389, -2172?\nAnswer: -3129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 414b (base 12) to base 6\nAnswer: 52535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 8*f + 11 + 60 = 9*h - 67, 5*h = 4*f + 177 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1039*p - 1034*p + 2062*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k - 82 - 278. Solve -7*f - k = -2*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**3 - 3*p - 1. Let g(j) = -21*j**3 - 15*j - 5. Suppose 5*o = 7*o + 10, 5*o + 23 = h. What is h*g(v) + 11*n(v)?\nAnswer: -2*v**3 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5748 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {r: 3, t: 2, i: 1, a: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11663051779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k + 12*k**2 - 14 + 2*k**2 + 5 + k**4 - 14*k**2 to r*k**3 + m*k + v + u*k**4 + c*k**2 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(42851\/1387 + -29 - 2\/(-19)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 19. Let n = -18.4 + f. Is n less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/48)\/(0 + (-1)\/(-198)). Suppose -6*h + 9*h - j = 0. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**4*n*n)**(-17))**(-30))**(-40) assuming n is positive.\nAnswer: n**(-122400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50797?\nAnswer: 79, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 49*s + 19. Determine y(-24).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41138 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22079 - -22081. Solve -6 = -b + t - q*t, 4*b - 49 = -9*t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 513 - 58 = 0. Suppose -3*r + 2*x + 257 = 3*x, r = 5*x + y. Calculate the remainder when r is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3 + sqrt(1216) + (sqrt(1216) + 0 + 3*sqrt(1216))**2.\nAnswer: 8*sqrt(19) + 19449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m**2 - m. Let x = 6 + -2. Suppose x*o + 55 = -1. Let y be 4\/18 + o\/(-18). What is r(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -11498?\nAnswer: -11498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 1\/25392?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1696, 6469, 14316, 25237, 39232, 56301, 76444?\nAnswer: 99661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/5 of a day?\nAnswer: 8928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 676515 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11178.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16680114 is divided by 23897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32190653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -6\/37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j**3 - 4*j**2 + 6*j + 6. Let f(b) = -b**2 + b + 1. Let n(d) = 6*f(d) - x(d). Factor n(i).\nAnswer: i**2*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26783575 divided by 5356715.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204849?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 223*y**2 - 2334*y + 29. Give n(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*g**2 + 5*g**2 + g**3 + 63*g**2 - 95*g**2 + 0*g**3.\nAnswer: g**3 - 134*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 495 and 24705?\nAnswer: 271755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(4 - 2) + -3 + 22. Is (-3122)\/(-6)*y\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x*x\/x**17))*x*x**(-3\/5)\/x)**(-1))**(2\/73))**(1\/20) assuming x is positive.\nAnswer: x**(39\/1825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 217.9396ml to litres.\nAnswer: 0.2179396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -81*z - 78. List the prime factors of u(-16).\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3050294184 to the power of 1\/3, to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*n + 17 = 0, n = -8 + 12. Let t(c) = 12*c**2 + 26*c + 17. Is 6 a factor of t(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -84*c + 584 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2232*w*x**4 + w*x**3 + 4124*w*x + x**4 + 323*x**3 - 2490*x**2 wrt x?\nAnswer: 53568*w*x + 6*w + 24*x + 1938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2736 and 7.3?\nAnswer: 2743.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 98829, 395971, 891207, 1584537, 2475961?\n\"Answer: 99047*b**2 + b - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3 = -w, 0 = -2*u - 5*w - 8 - 7. Suppose u = 5*c - 3*c - 282. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-21)\/a))\/a)\/(a**(2\/5)\/a) assuming a is positive.\nAnswer: a**(113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-140)\/238)\/(185\/(-1887)). Solve -104\/11*t - 10\/11*t**2 + k = 0.\nAnswer: -11, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, y: 7, m: 1}. What is prob of picking 3 y?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9036 = -2492. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = h - 2*h. Let v(p) be the second derivative of -p**3 - p**2\/2 + p. Let d be v(h). Which is bigger: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207131?\nAnswer: 43, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/2 + (-13)\/2. Let l = a + 10. Suppose -4*b + 2*b = -l*k - 464, -230 = -b + 3*k. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -63 + 38. Let u be (k\/(-2))\/(-5) + (-2)\/4. Sort 0, u, -1\/9 in ascending order.\nAnswer: u, -1\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*p + 24, -14 = -0*f + 2*f + 4*p. Put -2, f, 2 in increasing order.\nAnswer: -2, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 36*g**2 - 31*g - 201. Calculate v(-35).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 16 - 16 = 0. Let g be 6\/s + 15\/(-12). What is the common denominator of -4 and g - (45\/12 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6 + 4. Suppose 9 = b + 5*d - 10, -3*b = -z*d - 6. Let o be (18\/(-3))\/((-1)\/b). Solve 9*p - 4*p - o = 4*w, -w - 2*p + 7 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 50840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:43 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + c + 329, -5*n + 4*n - 2*c = -105. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1132 + 1140. Solve -v*x = 149 - 197 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, 2, -1698 in descending order.\nAnswer: 145, 2, -1698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2. Let b(x) = 5*x**2 + 33. What is b(s(p))?\nAnswer: 5*p**4 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4116*q - 5*s = -4117*q + 22, 5*q = -5*s - 10. Solve -q*x - 128 + 134 = -y, -x = -4*y + 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -21.\nAnswer: -21.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 387672, -2\/9, 0 in decreasing order.\nAnswer: 387672, 0.03, 0, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 348, 384, 422, 462, 504?\nAnswer: 548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 12117872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2750326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 100180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -16 - (-18 - (-29 + 1 + 10))) + 22.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-270)\/(-4) - (-3)\/6. Suppose 4*s - d = -4*v, 2*v + 28 = 4*v - 4*s. What is the remainder when 47 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + sqrt(7)*1 + sqrt(7) + 1*((sqrt(63) - sqrt(1008)) + sqrt(63)).\nAnswer: -4*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -186 + 190. Let l be 60\/(-16) + d - (-1)\/(-4). Solve -u + 7 = -2*t, -t + 3*u = -l*u + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 1012 = i. Let f be 2 + i\/(-22) + 4\/(-22). Solve l = 4*k + 16, 3*l + 2*k - f = -0*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001001010101100 + 111010?\nAnswer: 10001001011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5*w - 9 = 0, -5*q - 2*w = -7*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/15*(1069 + -1 - -3). Let h = y + -285. Calculate the greatest common divisor of 198 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 5*r + 8*i, -3 = -r - 2*r + i. Solve r*w = -150 + 160 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117477 is divided by 150?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - 13 - (-5 + 3) - -9.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18596966 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 17 = -12*h + 9*h, 0 = 5*j + 3*h + 20 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 5. Let q = 90 + -88. Which is the closest to 0? (a) q (b) p (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -132*284\/112464*1*(1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m + 5. Let b be f(-6). Let o = b + 11. What is the lowest common multiple of 14 and (-9)\/(-3 - -6) + o*3?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/28, -3, -42?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (11 + -11)) + 23 + -4 + 3\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 3:34 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20, 38, 54, 68, 80?\n\"Answer: -t**2 + 21*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 168081 to the power of 1\/2, to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -429*j**3 - 28*j**2 + 8852*j.\nAnswer: -2574*j - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 22 - 10. Suppose -5*t - 7 = 8, -p*i + 404 = -4*t. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 21473?\nAnswer: -5\/21473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 676\/(-39)*18\/24*4\/(-4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61615 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/2)\/(3\/24). Let q = z - -13. Calculate the remainder when (-28)\/(-3)*(q - 2) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - -39 - -40 - 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 10*y = -52 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.40666 months in years?\nAnswer: 8.200555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -339 - 344 + 1029 - 471*c**2 - 346 in the form m + t*c**2 + l*c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvdvvzqevvllz. What is prob of picking 2 z?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 3:56 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + q + 1. Let u(y) = 4*y**3 - 3*y - 3. Let f(g) = 3*h(g) + u(g). Give f(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 0.1, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Let k(y) = -9902 - 3*y**2 + 9924 + 5*y**2 - 16*y. Let t be k(7). Solve j + t = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -0.1, 0.4, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4462123434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.1. Let n = 308.549 - 311.549. Which is the closest to 0? (a) o (b) -2\/9 (c) -2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**5\/3 - 2*d**4 - 4*d**3\/3 + 4*d**2\/3 + 2*d + 2\/3.\nAnswer: -2*(d - 1)*(d + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -83\/5, -1.6, 6, -0.6, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4 - 0. Let y = -1 - t. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-2220.4938.\nAnswer: -11102.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -17. Suppose 342 = w*n - 620. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4170 - -4175. Which is the nearest to -1\/3? (a) -4 (b) 4 (c) y (d) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5019 - -5109. Calculate the highest common divisor of o and 1395.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a + 37. Let d(p) = 9*p + 73. Let c(v) = -3*d(v) + 5*o(v). Let l be c(-30). Calculate the highest common factor of l and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -26*a**2. Suppose j - 4*o + 6 = 0, -13*j + 14*j - 5*o + 8 = 0. Let r(h) = -4*h**j + 6*h**2 - 3*h**2. Calculate l(r(u)).\nAnswer: -26*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000198445 to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 - 37*q**2 - 59*q + 1887. Determine o(17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36822*w**3 + 18417*w**3 + 18413*w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -0*o - 2*o. Let h(d) = -3*d**3 - 3*d**2 + 2*d + 1. Let n be h(-3). Let g = o - n. Calculate the smallest common multiple of g and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 7*u**2 - 8*u + 2. Let f be c(8). Suppose f*h + 1 = 3. Suppose 171*z = 69*z + 306. What is the highest common factor of h and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 10:26 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -7*l + 11*l + 31, 4*u - 4*l - 36 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 6*m - 7. Let r be n(-3). Suppose 3*q - r*q = 3. Suppose -5*d + 13 = -o, -2*d - 3*o - 1 = 4. Solve q = -y - 3*y + l, d*l + 1 = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hn when two letters picked without replacement from aauvuhnhnuvanvvuo.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Suppose -4*a + 37 = 3*m, 6*m - 81 = u*m + a. Solve -w - 5*f - m = -4*w, 5*f = 2*w - 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g - 6 - 2 + 3081*g**6 - 761*g**6 + 3774*g**6 - 6009*g**2 + 5920*g**2 wrt g?\nAnswer: 731280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dpddppdppdpp. Give prob of picking 4 p.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 3 + 3 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**2 - 2*u + 266. Determine p(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38617321 to the power of 1\/2, to the nearest integer?\nAnswer: 6214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - -6. Let x = -3 + u. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42423? (a) -1.4 (b) -0.1 (c) 0.033\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = p - 14, -139*d + 3 = 2*p - 140*d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-35)*k**(1\/3))\/(k**(-1\/2)\/(k**(-1)*k)) assuming k is positive.\nAnswer: k**(-205\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 1. Let m(p) = -p - 1. Let u(x) = 1. Let o(t) = -2*m(t) - 5*u(t). Suppose -12 = h + 2*h. Give h*n(z) - o(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40755 and 32111805.\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 686778*j**2*l*t**2 - 608*j**2*l*t - j*l - 10*l*t**2 + 2*l + 487*t wrt t.\nAnswer: 1373556*j**2*l - 20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 4 - (-11 - -21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -17 (b) -2\/19 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-16) - 25\/(-20). What is f in 0 + 3\/2*f**v + 3\/2*f = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 59725569.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -4. Suppose -74*l - 144*l + 15243 - 2529 = -55*l. Calculate the greatest common factor of l and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 34 = -4*d, 5*d = 2*v - 3380 + 3421 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-19)*f*f)\/f*f*f\/(f*f**15\/f) assuming f is positive.\nAnswer: f**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-330)\/176*((-10)\/12)\/(425\/(-204))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**(-17)))**(-3\/31)*((y\/y**(-4\/11))\/y)\/((y**(-19\/2)*y)\/y))**31 assuming y is positive.\nAnswer: y**(5539\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + -1*sqrt(325) + 1)**2 + 2*(1 + sqrt(325))**2.\nAnswer: 20*sqrt(13) + 653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c. Let w = -73 - -46. Let s = w - -43. Let j(p) = 6*p. Let n(g) = -g. Let d(m) = s*n(m) + 3*j(m). Calculate d(l(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 n when four letters picked without replacement from {e: 2, u: 5, n: 3, k: 3}?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i - 15. Let v = -10 + -4. Let c be s(v). List the prime factors of 57*(-3)\/(c\/(-3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2135\/27 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 5, w: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*r + 282 = 0, 10*r - 8*r = 6. What is the remainder when 230 is divided by n?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**6 + w**5 + 2*w**2 + w + 1. Let v(a) = 204*a**6 + 2*a**5 + 46*a**2 + 2. Let h(k) = -2*q(k) + v(k). Find the third derivative of h(g) wrt g.\nAnswer: 24720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**5\/30 + 18*g**2. Let v(b) = -2*b**2. Determine q(v(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t + 605*t + 231*t = -43*t + 20130 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*q = q + 723, 5*c - 4*q = 906. List the prime factors of c.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85628.\nAnswer: 2, 21407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 292\/7 or 41?\nAnswer: 292\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 9:02 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1470) + -3*-2*sqrt(1470)))\/((sqrt(600) + (sqrt(600) + (-2*sqrt(600) - sqrt(600) - sqrt(600))*-2 - sqrt(600) - sqrt(600)))*2).\nAnswer: -49*sqrt(5)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 154*q**2 + 29*q + 2. Let k(g) = 153*g**2 + 32*g + 1. Let x(l) = -3*j(l) + 4*k(l). Find the second derivative of x(a) wrt a.\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.5213717 - -8.521. Round s to 5 decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/4 greater than or equal to -1745016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-5))\/(6\/(-20)). Suppose -y = n - 4 + 2, z*n - 3*y = -20. List the prime factors of n\/6 - 39\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*379.259\nAnswer: 4551.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -224553 (base 11) to base 4\nAnswer: -1113033323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5\/33 - 13\/110. Let f(r) be the third derivative of 0 + 0*r - i*r**6 - 6*r**2 + 0*r**4 - 1\/105*r**7 + 0*r**3 - 1\/30*r**5. Factor f(x).\nAnswer: -2*x**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/60 - l**4\/8 - l**3\/3 - 5*l**2 - l. Let h(o) be the first derivative of n(o). Calculate h(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31046 - 1927*y + 15526 + 15520 in the form w*y + b and give w.\nAnswer: -1927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.02, 2\/3, -0.2, 1, 9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - 16. Let q(a) = -a**3 - 9*a**2 - 10*a - 12. Calculate the remainder when x is divided by q(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from nffffnnfnnff.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15324?\nAnswer: 2, 3, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 24993 + 20*i**2 - 2*i + 24991)*(-2 - 1 + 1).\nAnswer: -40*i**2 + 8*i + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.3 + -2.3. Let y = z + -15.9999983. What is y rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-4))\/((-1)\/20). Let i = 9 - 4. Suppose 0 = 33*r - 26*r - 133. Solve 2*w = i*c - r, c + p*w = -0*c + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 7. Let k be m(0). Let g(t) = 8*t**2 - t**3 - 347 - 344 - 340 + 1037 - 6*t. What is g(k)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18997765+-8\nAnswer: -18997773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 0*h + 136*h**2 - 127*h**2.\nAnswer: 9*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**3\/6 + 4*v**2 + v. Let n be m(6). Is ((-2)\/6)\/(n\/(-954)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - s + 856 = 0, 1706 = 4*i - 10*s + 15*s. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -11*s - 11. Suppose 4*c = -2*k - 20, -5*k - 75 = -5*c - 25. What are the prime factors of d(k)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1506*b - 1642*b - 6*b**2 + 3148*b + 18.\nAnswer: -6*b**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k + 5. Let p be a(1). Let h(r) = 520*r**2 - r. Is h(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8344, 8035, 7518, 6793, 5860?\n\"Answer: -104*n**2 + 3*n + 8445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5642, -5633, -5624, -5615, -5606?\nAnswer: -5597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 0 + 24. Let g be -9*(-4)\/o - -329. Suppose 0 = -2*l - 4*j + 112, 3*l - 8*l + g = -3*j. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189826157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 - i**2 + 7*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 865699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 246*o**5 - 4798972*o**4 + 38457230*o**3 - 62986528*o**2 + 29796024*o - 468000 = 0.\nAnswer: 2\/123, 1, 6, 19500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13832 and 281745984?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 37. Let o = k + -20.9. Let w = -1123.06 - -1123. What is the closest to o in -0.3, -1\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-9)*x)\/x*x)*x)\/x**(-4)*(x*(x*x**(-5))\/x*x)\/x*x*x\/(x**3\/x*x) assuming x is positive.\nAnswer: x**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*v + 7 = -g, 5*v = g + 16. Is ((-8371)\/(-33))\/(g\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -2021200012212120?\nAnswer: 2021200012212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 37. Calculate the least common multiple of (42\/c)\/((-186)\/45 - -4) and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 40187.\nAnswer: 2\/5741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1129.378 centuries to millennia.\nAnswer: 112.9378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87102349?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 13 = 4*s - 67, 4*s - 8 = 0. Let h = n - -26. Suppose 4*j - 3*j - 4*k = h, 0 = -5*k + 5. 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: Let c(k) = -k**3 - 9*k**2 - 170*k - 1242. What is the lowest common multiple of c(-8) and 3951?\nAnswer: 23706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4 + 4160*v**3 + 53345*v**2 + 90090*v = 0. Calculate v.\nAnswer: -819, -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 k when four letters picked without replacement from {k: 2, l: 5, y: 13}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a3 + 1?\nAnswer: 6a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -50*r**2 - 10499 + 10499. Let u(w) = -2*w**2. Calculate u(k(q)).\nAnswer: -5000*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -7) + -2 - 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 3400*z - 578000.\nAnswer: -5*(z - 340)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 + (-38 - -43) - (-1 - (-4 - -13)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007079208174 to seven decimal places.\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2442421 or 1\/4?\nAnswer: -2442421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (-4 + sqrt(28)\/sqrt(4) - sqrt(21)\/(sqrt(3) + (sqrt(3) - sqrt(3)*-2))))**2.\nAnswer: -45*sqrt(7) + 1389\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2378 - -2802. Solve -x*y + 430*y + 12 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 10*h**2 - h - 8. Suppose 11*i = 15*i + 40. Let v be y(i). Suppose -v*d = -d - 24. Calculate the greatest common factor of 24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -4. Suppose 5*p - 108 = -z*s, 57 = 3*p - 3*s - 3. Suppose -4*g + p + 19 = 0. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 116*r + 31. Is o(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -k + 5*h, 1 = -h - 0. Suppose -9*j = -99 - k. Solve -4 = 2*r + g, 0*r - 3*r - j = -g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-12)*x**16 assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*k - p - 1, 4*k - 5*p = -9. Let w be (k\/(-3))\/(((-4)\/(-45))\/4). Let j = 7 + -5. Solve -4*m - w = c, 5 = -m + 3*c - j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -306 - -267.5. Let s = -38 - m. Suppose -3*j + j = 6. What is the nearest to -1 in 0.05, j, s?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/4 - 21*t**3\/2 - 270*t**2 - 3075*t\/2 - 10875\/4.\nAnswer: 3*(t - 29)*(t + 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2438 - 368. Suppose 5*f + 5*f - p = 0. What are the prime factors of f?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 1\/530 (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47.83 + 48. Let u = -0.1 + z. Sort 1\/7, -1\/9, u.\nAnswer: -1\/9, u, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000163425632 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 + 8*w + 23. Let v be k(10). Suppose -h + 20 = v*h. Suppose -t = h*c - 2*c - 52, -51 = -t - 2*c. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/11 - 7\/88. What is the smallest value in -0.002, f, 1?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3205147416 to the nearest integer?\nAnswer: 56614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 20. Let x = 0.7 - v. What is the nearest to -1\/3 in x, 4, 1\/8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 0.16, 0.3 in ascending order.\nAnswer: 0.16, 0.3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7 = 3*p. Let k = p + 19. What is the least common multiple of k and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1300)*-1*-5 + sqrt(1300) + sqrt(1300) + (sqrt(1300) - -3*sqrt(1300)*6)**2.\nAnswer: 70*sqrt(13) + 469297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + b**2 + 1. Let n(a) = 6*a**3 - 5*a**2 - 6*a - 5. Calculate -5*l(d) - n(d).\nAnswer: -d**3 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*n + 428 = 0, -3*z + 0*n - 5*n + 652 = 0. List the prime factors of z.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 + 22. Let v(w) = -w**3 - 6*w**2 + 6*w - 5. Let s be v(-7). Let p be (s + -1)*(-4)\/(-2). What is the third smallest value in q, 0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 28169\/7570?\nAnswer: 28169\/7570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71617 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -29*j - 39. Calculate x(4).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 8. Let u(n) = -n + 7. Let w(m) = -m - 9. Let h be w(-4). What is h*f(x) + 6*u(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 - 2*z**3 - 1 - 261*z**3 - 315*z**3 as q + v*z**3 + f*z + n*z**2 and give v.\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njchvinc. Give prob of sequence hni.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.726 (c) -0.1 (d) -12640\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 625\/(-155) - (-7 - (2 - 5)). Let d = -1331\/62 + c. Find the common denominator of d and 47\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41917 and 181529?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14236 divided by 289\nAnswer: 14236\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -100110110101011000010 (base 2) to base 6\nAnswer: -43135134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1456\/9 - -162. Let x = 1\/45 - r. Let v = 0.008 - 1.008. Which is the closest to -1\/4? (a) -2\/17 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g - g)*(10*g + 3 + 1 - 6*g)*(9*g + 2*g + 14*g).\nAnswer: -100*g**3 - 100*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 27, 0 in decreasing order.\nAnswer: 32, 27, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 27. Let p = -1281 + 1276. Is m less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - m + 3. Let v be y(-4). Let b = 16 + v. Let q(d) = d**3 - 6*d**2 - 7*d - 4. Let a be q(b). Sort a, -3, -5 in decreasing order.\nAnswer: -3, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155979?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**3 + 445*x**2 - 110*x - 111. Let q be t(111). Which is bigger: q or -3\/30208?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-34 - -37)\/(8\/(-56) - 123\/(-420)). Solve t = -206*f + 202*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 - -120.196. Let b = -0.936 - -0.94. Let u = d + b. Round u to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182667?\nAnswer: 3, 60889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 75, -223, -739, -1467?\nAnswer: -2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11994588 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 75, 3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5 = -4*g + 64, -4*x = -5*g + 74. Let v = -11 - -13. Solve -2*i - 11 = -m, -2*m + g - v = -2*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 53840 = 2*u, 0 = 5*u - 4*a - 17214 - 117363. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(21)\/sqrt(3) + 1 + 0.\nAnswer: -4 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8496 + 6872. Let m = 3668 - r. Round m to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 11 = 3*t, -3*h + 3*t - 19 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(200)*4)**2.\nAnswer: 3199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 29. Let k(b) be the third derivative of b**2 + r*b + 0 + 0*b**4 - 1\/3*b**3 - 1\/60*b**5. What is the derivative of k(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31 - -6cde?\nAnswer: 6cad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**2 + 105*f + 42 - 108*f + 22*f.\nAnswer: -6*f**2 + 19*f + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*n - 8 = 4*t, 3*t + 3*n - 21 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146 + 205. Let u = -43 + p. Solve 3*h - 7*h = u for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 28833*m + 86526.\nAnswer: -3*(m - 9614)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 22 = -o. Let c(r) = -r - 8. Let g(i) = -1. Let p(n) = o*c(n) + 5*g(n). Calculate p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13901*b - 13872*b + 145 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5673 and 8601.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18511 and 5778?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 5*u + 30, 5*u - 45 = -234589*a + 234584*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 - 8*a + 3. Let m = 2 + -8. Let z be p(m). Let j = -24 - z. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42338 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1 - (-8 + 7)) + -5 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 133*b - 47 = -129*b, 46 = 4*p - 3*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51 and -0.0134.\nAnswer: -0.6834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 886, 1072, 1388, 1840, 2434?\n\"Answer: u**3 + 59*u**2 + 2*u + 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*y**2 + 530*y**2 - 180*y**2 - 219*y**2.\nAnswer: -66*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {t: 5, h: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -502.64 rounded to the nearest 10?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -6*t. Suppose 0 = 3*f + 4 - 1, -2*s + 4*f = -8. Suppose -4 + s = k. What is the lowest common multiple of 4 and a(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**4\/12 - u**2\/6 - 12. Suppose r(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 765 divided by -5\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*f**2 + f**3 + 7*f**2 + 11*f**2 - 43 + 4*f**4)*(f + 2 - 2).\nAnswer: 4*f**5 + f**4 + 2*f**3 - 43*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 2:11 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02846, -2\/41239, -4 in ascending order.\nAnswer: -4, -2\/41239, 0.02846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) -5 (b) 2.8 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/183 - 0)*(70\/15 + -3). Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - 142\/(-10))\/(9\/(-60)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97232 is divided by 97225.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 3. Suppose 5*b + 8 = -3*s, -b + 3*s = -4*b. What is the units digit of t(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1085 and 676265.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -5. Let y = 3 + s. Suppose -5*v - 2*t = -13, 0*v - v - 1 = 4*t. Calculate the highest common divisor of v and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19874, -19869, -19864?\nAnswer: -19859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0. Let i = 18 - 18.7. Let v = 0.2 + i. Which is the closest to o? (a) v (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m + 56 = 3*i, -19*m = -24*m - 3*i + 79 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z - 8*z)*(-2*z**2 + 1083*z + 4*z**2 - 933*z).\nAnswer: -22*z**3 - 1650*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x. Let l(j) = 7*j - 2. Let w(n) = -21*n + 7. Suppose 2*c + 18 = -y - 3*y, 5*y + 15 = -c. Let d(k) = y*w(k) - 7*l(k). Calculate o(d(v)).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:51 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 6*g + 558. Let v = 80 + g. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (610\/(-12200))\/((-2)\/(-20)*2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 13*i**2 - i. Suppose 6*f + 3 = 9*f. Determine z(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 - 2*k**3 - 7*k**3 + 2*k + 39 + k**3.\nAnswer: -5*k**3 + 2*k + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2273230.\nAnswer: 2, 5, 31, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*t**2 + 2972*k**2*t - 1461475*k*t**2 + 4204*k*t - 2*t**2 + t wrt t.\nAnswer: -4*k**2 - 2922950*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 218\/(-545) - 7694\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-2)\/3 + 76\/6 and (-7 - 7)*1\/2 - -27?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 2, 3 in ascending order.\nAnswer: -4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**2 - 14414*g - 24275784 = 0. Calculate g.\nAnswer: -4524, -2683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94722?\nAnswer: 2, 3, 15787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 3*x + 27. Suppose 25 = -s + 5*f + 8, 0 = -3*f + x. Let g be s\/(-6) - (-141)\/9. Solve -4*d - 4 = g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of y**2\/2 - 113*y - 91. Let t(z) = 2*z**2. Give u(t(x)).\nAnswer: 2*x**2 - 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4 + 3*m**2 - 9*m - m**2 + 4*m. Let o be 6\/10 + 196\/(-35). Let g = 22 - 14. Let k(l) = 3*l**2 - 8*l - 6. Calculate g*r(u) + o*k(u).\nAnswer: u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -a3 (base 11) to base 2\nAnswer: -1110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*i + i + 28224. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -43*x + 6. Let p be s(2). Let a = 80 + p. Let d be 39\/6 + 1\/(-2). Solve -2*c + 29 = 3*c + 4*q, -2*c + 4*q + d = a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*a. Let t(g) = 8*g**2 + 1. Let q be t(2). Suppose -z = a, -z + q = 4*i - i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -6 - (-2 - -4) - 10) + -4\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11077*l + 22160*l = 11061*l - 594 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 2) + -2 + -16 + (18 - -14).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 5*u - 5*q, 59 = -2*u + 4*u - 3*q. What is the least common multiple of u and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 183075 divided by -7323\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122700 divided by 6.\nAnswer: 20450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0027190991 rounded to 5 dps?\nAnswer: -0.00272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3 + 15052*d - 15046*d - 6. Let z(u) be the third derivative of u**4\/8 - 2*u**3\/3 - 2*u**2. Let w be 4\/(-20)*-5*3. Give w*t(v) - 7*z(v).\nAnswer: -3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 586*w - 1646 - 2812 = 5504 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65286 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.505 - 0.105. Is 15 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**7*d)\/((d**(-3)*d)\/d)*(d**(2\/3)*d)**(3\/2))\/((d**(-1\/3))**(-2\/25)*d**(-8)*d*d\/d**(-1\/3)*d) assuming d is positive.\nAnswer: d**(907\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 - -120. Suppose 38 - a = 4*c. What is the highest common factor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, b: 3}. What is prob of picking 1 k and 3 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjzlzrzrjz. Give prob of sequence rrz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 3*g - 8*g)*(-7 + 2*g + 117 + 35)*(-1 + 8 + 2) + (5 - 1 - 2)*(g - g - g**2).\nAnswer: -38*g**2 - 2610*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-451)\/22 + 8)*(-12)\/15. Solve -3*j - q = -2*u + 8, 2*u = -5*j - 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -38*q - 1. Let y be x(-3). Suppose 3*g - 9 = -0*g, -5*k - g = -y. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*-4 + sqrt(11) - (-3 + sqrt(121)\/sqrt(11))) + 0)**2.\nAnswer: -144*sqrt(11) + 6345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9791 + 48205. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 14 - 6 - 10 - 2*b**2 + 3*b**2. Determine d(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**4\/24 - 4*s**2. Let y(m) = 3*m. Give g(y(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -284 + 287. Let p be 1 + 0 + (-1 - -1). Let y = -1.14 + 1.04. What is the third biggest value in p, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*l*o**3 - 71841*f*l*o**2 - 14*f*o**3 - 2*f*o**2 + 66*f + 9*l*o**3 - l - 5746*o**3 wrt o.\nAnswer: 12*f*l - 84*f + 54*l - 34476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**5\/50 + 56*d**4\/15 + 221*d**3\/15 + 22*d**2 + 431*d. Factor i(p).\nAnswer: 2*(p + 1)**2*(p + 110)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (10*j**5 + 2*j**5 - 10*j**5 + 179*j)*(1 + 1 - 3).\nAnswer: -2*j**5 - 179*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -102001000 (base 3) to base 12\nAnswer: -47a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/2)\/y*y**(3\/13)*y)\/(y\/y**(-5)*y**(-1\/21)*y) assuming y is positive.\nAnswer: y**(-5035\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35238 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 192641?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 23, -67.2.\nAnswer: -67.2, -2\/15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 1299*o**2 + 0.\nAnswer: 1299*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/13, 1.2, -4, 0.1 in increasing order.\nAnswer: -4, -3\/13, 0.1, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 63 + 4*g**2 + 25*g**2 + 105.\nAnswer: 29*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/5280 and 119\/1320.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3444222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 26\/39*(189\/(-168))\/9*-8\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 345.4558891 to one dp.\nAnswer: 345.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10892 = 13608. What is u rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 5:15 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 6*w**2 + 13*w - 72. Calculate v(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24 from -7120053.\nAnswer: -7120029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8772.\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17.6 or 0.087?\nAnswer: -17.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**3 + 2*g**2 - 2*g - 1. Let t be 30\/14 - (-2)\/(-14). Does 20 divide u(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76.3 - 0.1388016717.\nAnswer: 76.1611983283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 519 - 280. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -990677.5 rounded to the nearest 10000?\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -0.5 (c) 1 (d) 23\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/13)*u*u*u**(-3\/4))\/(u**(-3)*u*((u*(u**(-6)\/u)\/u)\/u)\/u)*((u\/u**(6\/5))\/(u*u**(-1\/6)))\/(u\/(u**(-1\/2)\/u))**11 assuming u is positive.\nAnswer: u**(-12821\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(320)*2 + 2 - sqrt(320))*5*-3)**2.\nAnswer: 7200*sqrt(5) + 72900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p + 5. Let u be -3 - 3\/6*-22. Suppose -u*f + p*f + 84 = 0. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168131039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6853 + 6878. Solve 32*q = 27*q - g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19, -50, -141.\nAnswer: -141, -50, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000536 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - n**2 - 2*n**2 + n**2 + 0*n**2 + n**2 - 3*n**2 + (-6*n + 2*n + 2*n)*(n - n + n) + 0 - 2*n**2 + 0 - 3217*n**2 + 167*n**2 - 393*n**2.\nAnswer: -3451*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 6*b**2 - 5*b**2)*(-2018 + 2018 - 513*b).\nAnswer: 4617*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4284 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btbvtttb. What is prob of sequence tbvt?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1291\/120134 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22736, 53163, 83588, 114011, 144432, 174851?\n\"Answer: -x**2 + 30430*x - 7693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 + 13*p**2\/3 + 29*p\/3 + 5.\nAnswer: -(p - 15)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 2 + 0 - 2*z)*(1086*z - 546*z + 19*z**3 - 547*z) to p*z**4 + y*z**3 + h + g*z**2 + r*z and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 14 = 2*m - 3*i, 4*i = 8. Is (-261)\/6*44\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -247*g**2. Let y(z) = 3*z. Determine t(y(d)).\nAnswer: -2223*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.31 - 0.54. Let o = 0.03 + i. Let f = 2\/13 + -21\/52. Which is the closest to -0.1? (a) -1 (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*x + 28*x + 1335 = 32*x for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-6))\/(5\/15). Let p be t*(-3)\/((-3)\/(-1)). Let q = p - 0. Is q > 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6 = 2*s - 4*s, s - 5*c - 32 = 0. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -17.4, 7, 0.147, 2?\nAnswer: -17.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*f + 11 - 3, -2*f + 8 = -i. Let u = i - -5. Solve 0 = -u*c - 16 + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41517*g**2*k - 173*g**2 + 10567006*g*k - 11*g wrt g?\nAnswer: 83034*k - 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - k**2 + k**2)*(0*k + 0*k + 3*k) + 90*k**3 + 94*k - 94*k.\nAnswer: 87*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4987, 17441, 38203, 67279, 104675, 150397, 204451, 266843?\nAnswer: 337579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -214?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8341756, -8341780, -8341828, -8341912, -8342044, -8342236, -8342500?\n\"Answer: -2*m**3 - 10*m - 8341744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/5 of a minute in milliseconds?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = -6*y - 137 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100754 and 88159750?\nAnswer: 88159750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2756859, 2756860, 2756863, 2756868, 2756875, 2756884?\n\"Answer: f**2 - 2*f + 2756860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 16.9.\nAnswer: 33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.301646 to one decimal place.\nAnswer: 30.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**5 - 50*l**5 + l**5 + 1 + 2*l**5 - 1 - l + 2*l**5 + l + (-2*l + 6*l - 5*l)*(2*l**4 - 7*l**4 + 3*l**4) + l**2 + 2*l**5 - l**2.\nAnswer: -36*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/15)*n*n\/n**(3\/5))\/(n\/n**(-1\/4))**(-2\/67) assuming n is positive.\nAnswer: n**(2621\/2010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12101121 (base 3) in base 4?\nAnswer: -331123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/((-108)\/3728))\/(2\/(-165)). Let k = 50151 - y. Suppose 9*d - k = 20749. What is d rounded to the nearest 100?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -12, -41, -80?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q - 21*q = -41*q - 144 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 7*z + 3. Suppose -b = 2*d + 2*b + 20, 3*b + 6 = 0. Let p be l(d). Suppose p*n - 8 - 4 = 0. Solve q - 17 = n*h, 2*h + 0*h = -3*q + 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 31*v**2 + 3*v + 65. What is the remainder when j(31) is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(242) + 1)*6 - sqrt(242))**2 + sqrt(242))*5 + -1.\nAnswer: -121721 - 13420*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 13*n - 20*n. Let d be -1 + (0 - 0) - (-5 + n). What is the second derivative of -81*b**3 + 81*b**d + 35*b - 46*b**4 wrt b?\nAnswer: -552*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7. Let a(p) = -p**3 + 1. Let v(b) = -10*a(b) - 5*j(b). Differentiate v(o) with respect to o.\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a day in hours?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 311*y**2 - 5*y + 5. Suppose 14 = 8*u + 6. Does 82 divide x(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/3*(-24)\/(-64)*-4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -4.8120344\nAnswer: 1.92481376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -22805, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8, 25, 56, 101, 160, 233?\n\"Answer: 7*u**2 - 4*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 11:17 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19360 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 10:55 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11207*-1.\nAnswer: 11207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 + -25. Let x(d) = -d**3 + 6*d**2 + 7*d + 3. Let i be x(h). Let b be (66\/10 + i)*(0 - -5). What is the highest common divisor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*b + 12. Suppose -5*d - 8 = -b*n - d, -n + 5*d + 10 = 0. Suppose n = r - 0*r - 1. Calculate the smallest common multiple of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*-2 + sqrt(360))\/sqrt(2) + sqrt(10)\/sqrt(2) + 4 + sqrt(125) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24 - 24 + 5845*h**3 + 108*h**2 - 5302*h**3 wrt h?\nAnswer: 3258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -21. Suppose 2*d + n + 0*n = t, -3*d + 27 = -3*n. Solve 0 = 5*a + 5*s - d, 0 = -5*a + 4*s + 37 + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d**5\/d))*d)\/(d\/(d\/(((d\/(d*d\/d**7))\/d)\/d))*d))**(-45) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*h - 0*q - 67, 4 = h + 3*q. What is the highest common factor of h and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 times 781.5\nAnswer: -96124.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, o: 1, q: 1, u: 9}. Give prob of picking 1 o and 2 u.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2.1 (b) -4 (c) -503 (d) -0.097\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -184 (base 16) to base 8\nAnswer: -604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in -3, 0.3, -186, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -71. Find the common denominator of z and -41\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 9. Let d be i(-7). Let k = 32 - d. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 16) + 1 + (62 - 65) - -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -4 (c) 0.7 (d) 1\/3 (e) -102 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1901 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**2 - 3*p**2 + 9*p**2 - 2*p)*(105 - 84 + 178) as c*p**2 + t + x*p and give c.\nAnswer: 1194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 338 + 121. What is the smallest common multiple of k and 24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88718 (base 10) to base 15.\nAnswer: -1b448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -18*r**2. Let a(f) = 63*f + 27. Let s(x) = -2*x - 9. Let z(i) = 2*i + 13. Let h(d) = 3*s(d) + 2*z(d). Let m(o) = -a(o) - 27*h(o). What is q(m(c))?\nAnswer: -1458*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 8736, 5, 8075.\nAnswer: -3, -2, 5, 8075, 8736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 11 = 4*i, -4*b + i = 2*i - 7. What is the second derivative of -9*g**3 - 8*g**b + 20*g**3 - 9*g**3 - g wrt g?\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1348391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, g: 2, j: 9}. Give prob of sequence uju.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c\/(c*c\/c**(2\/7)*c))\/c)\/(c\/(c*c\/(c\/(c\/(c**(2\/5)*c))))))**37 assuming c is positive.\nAnswer: c**(-1443\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -241, -237, -233?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-10))\/(3*(43\/(-172))\/(3\/(-8))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, t: 10, v: 2}. Give prob of sequence vrv.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121*t**2\/3 - 2200*t + 30000.\nAnswer: (11*t - 300)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235788?\nAnswer: 2, 3, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-377417)\/(-204) + 3\/(-36). Calculate the highest common factor of 50 and s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 17 + 655*c + 74*c + 27 in the form l*c + z and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1052133350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 19*r - 144. Calculate o(18).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229048?\nAnswer: 2, 28631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325011741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1952*n*v**4 - 244*n*v**2 - 2*n*v + n + v**3 - v**2 wrt v.\nAnswer: 46848*n*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38667*n*r**5 + 4*n + 73*r**6 - 674*r**2 + 4*r - 4 wrt r?\nAnswer: -2320020*n*r**2 + 8760*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103019038?\nAnswer: 2, 239, 215521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 315 and 9226245.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 23\/2 (b) 0 (c) -2\/55 (d) -5 (e) 0.5 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.89203051 minus -0.1?\nAnswer: -6.79203051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-9)*22\/(880\/(-150)). Let v = -1 + 1.08. Which is the smallest value? (a) 0.3 (b) 5 (c) z (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 8*n + 22. Let h be g(10). Solve -h*f + 3 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148984879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 1315 + 643. Suppose 0 = 2*p - 3*d - f, 5*p = 3*d - 4*d + 2490. List the prime factors of p.\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 4*v + 11. Let c(r) = r**2 + 2*r - 1. Calculate -c(l) + w(l).\nAnswer: 2*l**2 - 6*l + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((72\/84)\/((-1)\/7))\/(-1). Let i(w) = 6*w**3 - 6*w**2 + 14*w + 4. Let y be i(d). Suppose -y = 13*u - 21*u. Does 32 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 339 and 24.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 4*o**3 + 2*o**3 - 2*o**3 - 7 to the form s + y*o**2 + g*o + u*o**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(152) - sqrt(152))*-5*-2)\/(1*sqrt(16)\/sqrt(2)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -701*j**3 - 28 + 31 + 707*j**3 - 3*j in the form l*j**3 + x*j**2 + s*j + d and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4144151025.\nAnswer: 3, 5, 7, 907, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*g + 380. Let o = g + 391. Suppose 3*h - 5*l = 96, 0 = -3*h - 2*h + 4*l + 173. Calculate the greatest common factor of o and h.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9.759574 centuries?\nAnswer: 975.9574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2365 divided by 194589?\nAnswer: 2365\/194589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o. Let g = 52 - o. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44815352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 80, 397, 1146, 2507, 4660, 7785?\n\"Answer: 30*t**3 + 36*t**2 - t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (sqrt(700) - (sqrt(700) + 1 + sqrt(700)))).\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 11024112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a day in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g - 80 + 30. Let r(n) = 2*n**3 + 11*n**2 + 4*n - 1. Calculate r(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**4*g*g*g**(-8))\/(g**(3\/4))**29 assuming g is positive.\nAnswer: g**(-91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7033547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3\/11 + 160753040*u**2\/11 - 160753038*u\/11 = 0. What is u?\nAnswer: 0, 1, 80376519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3865 + 0.3148.\nAnswer: 0.7013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(931) + -3)**2.\nAnswer: 210*sqrt(19) + 23284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 199216*l. Let y(x) = -28*x. Calculate y(m(n)).\nAnswer: -5578048*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7159*u**4 - 739*u**2 wrt u.\nAnswer: -171816*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 2621?\nAnswer: 2628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 105167\nAnswer: 4\/105167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41 and 1227827?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18194 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 9:37 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*m - 12. Let x = -7 + m. Is x != -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 2*s + 222. Let x be j(0). Suppose 36*y + x = 33*y. Let r = -71 - y. Solve 0 = 4*a + 2*c + 12, r*c + c = 2*a + 26 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (72\/24)\/(15\/55) + -9. Let u = 4 - 6. Let n = -1 + u. Does w = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = 2*h + 307. Let r(i) = -59*i**2 + 30*i**2 + h*i**2. Let y(x) = -3*x. Determine r(y(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1988 is divided by 1672?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -177420 divided by -10\nAnswer: 17742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**5\/30 - 2*v**2. Let x(t) be the third derivative of t**4\/8 - 7*t**2. Determine q(x(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 7\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11109, -22223, -33337?\nAnswer: -44451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-84)\/(-7))*25*(-7)\/(1470\/(-36))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yynyynyyynynnyyy. What is prob of sequence nn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 12298*s - 121. Let i(w) = -205*w + 2. Suppose 13*t + 363 = 10*t. Let f(m) = t*i(m) - 2*d(m). Let p(u) = 2*u**2. What is p(f(k))?\nAnswer: 87362*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuulluuu. Give prob of picking 2 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 1. Let m(a) = -4*a - 4*a + 4*a + 5*a. What is -k(c) - 5*m(c)?\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (3 - (4 - 8)). Let y be ((2 - -1) + 1)*1\/w. Solve 0 = 4*k + 3 + y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3222860 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (38 - 22) - -6 - (2 + 4 + -30)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41338 + 3?\nAnswer: 4133b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3978 and 390.\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -16. Suppose 5*x + 2*m = -m + 93, l = -4*x - 3*m + 75. What is the least common multiple of 8 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**2. Let g(s) be the first derivative of 0*s - 1\/24*s**4 + 5 + 2*s**2 + 0*s**3. Let p(x) be the second derivative of g(x). Calculate w(p(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 72. Suppose j = -4*n + 20 - 0. Solve 3*f - 3*q + 0 = -12, -n*f + q - 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 14 = -24 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1896824, -3793623, -5690422, -7587221?\nAnswer: -9484020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -490 divided by -1389\nAnswer: 490\/1389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d + 207 - 7*d + 2*d to o + c*d and give o.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1190 (base 10) to base 9\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1538*f = 1510*f - 168. What is the biggest value in f, -1, -5, -11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2652240 to the nearest ten thousand.\nAnswer: -2650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13043 - 98?\nAnswer: 12a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 9*k**2 + 10*k - 11. Let s be p(8). Suppose s*b - 4 = 2*t, -2*t = -3*b - 4*t + 12. Sort 5, 1, b.\nAnswer: 1, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9394 + 2.0606. Put -2, 0, 0.3, q, -40 in descending order.\nAnswer: q, 0.3, 0, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-3) - (3 - (-13)\/(-3)). Let g(m) = 63*m**2 + 75 - 18 - 3*m - 2*m - 62*m**t. Is g(-24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43834.\nAnswer: 2, 7, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 15) in base 11?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, o: 5, j: 4}. What is prob of sequence ojs?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 598, 574, 524, 436, 298, 98, -176?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -326482494 by -163241247.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316267926.\nAnswer: 2, 3, 13, 1069, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 + 26 - 25 - 2 + 0 + 3 + (4 - 3 - 2)*(-3 + 1 + 1))*(0*p - 2*p + 3*p) to the form g*p + z and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/(1\/6). Let p be z\/4*6\/3. Let q = -614\/7 + 88. Which is smaller: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6\/(f*f**(1\/10))*(f*f**(-3))**(10\/3) assuming f is positive.\nAnswer: f**(-53\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 44*q**3 + 6*q**2 - 3*q - 13. Suppose 18*c = 8*c + 30. Is 35 a factor of h(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - w)*(-42*w + 15*w + 7*w).\nAnswer: -40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o = -2646 - 74. Solve o = 14*g + 6*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91284943?\nAnswer: 347, 503, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/19 + 14906*b\/19 - 29820\/19.\nAnswer: 2*(b - 2)*(b + 7455)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 0 - 1\/12*r**4 - 2\/105*r**7 + 1\/15*r**5 + 0*r + 1\/168*r**8 + 0*r**6 + 0*r**3 + 3*r**2. Let u(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*v + 53 = -4*v, -w = 4*v - 19. Let b be (-1)\/((-9)\/3)*-3. Let s be 1*(-2 + 1)\/b. What is the highest common divisor of s and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15043, -30078, -45113, -60148, -75183, -90218?\nAnswer: -105253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5542713101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - y + 0*y + (0 + 2 - 3)*(23 + 5*y - 23) + (-2*y + 4*y + 0*y)*(5 - 4 + 1).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5)\/(w*w**(-15)))\/(w\/(w**(-4)\/w))**10)**24 assuming w is positive.\nAnswer: w**(-5472\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4373687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 2*x**2 + 10*x + 12. Let z(c) = 5*c + 48. Let k be z(-11). List the prime factors of w(k).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11482, -6, -1, 20 in ascending order.\nAnswer: -6, -1, 20, 11482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 36 = -0*f. Let k(m) = -36*m + 42*m + f - 3. Let d(v) = 2*v**2. Determine k(d(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**8\/8 + 529*i**7\/42 + 2377*i**4\/6 + 2735*i. What is the third derivative of j(g) wrt g?\nAnswer: 840*g**3 + 31740*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 3. Suppose 0 = -2*r + 2, -2*f - 4*r = -5*r - 1357. Suppose 0 = 9*m + 634 - f. Solve u*d = m*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17165626 by 903454.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {h: 5, i: 1, p: 3, s: 1, a: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 7*p**2 - p - 1 + 9*p - 2. Let i be v(-8). Is -7\/3 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from {i: 2, g: 2, o: 1, l: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than or equal to 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 20 = -3*g - 10*g. Sort g, 3, -94, -6 in descending order.\nAnswer: g, 3, -6, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - m - 4. Let o(v) = 146*v**2 + 3*v - 1332. Let n(i) = o(i) - 6*q(i). Differentiate n(u) with respect to u.\nAnswer: 280*u + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11572 + 11569. What is the smallest value in z, -1\/5, 2, -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32 - 26 - 33)*(2*r + 3 - 3) to the form n + t*r and give t.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 273 - 272.8. Which is the closest to -0.1? (a) 0 (b) -4\/9 (c) n (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1 + 48*g - 29*g + 35*g. Let i be -1 + 2 + -1 + (-3)\/(-3). Is l(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42 - -24?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 718 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/9)*q)\/q)\/(q\/q**(2\/3)))\/((q\/(q*q\/(q\/q**(-4)))*q)\/q)**(4\/9) assuming q is positive.\nAnswer: q**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r**(-5)*r)*r**(-1))**(-1\/21)*(r**(-2\/5))**(6\/17)*(r\/((r**(-1\/4)*r*r)\/r)*r)**(-2\/5) assuming r is positive.\nAnswer: r**(-1103\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -157 and 118100.\nAnswer: -18541700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 786*s - 642*s - 388 = 1040 + 1452 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(-2)\/(-6)*1\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5110 by -1022.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*o**2 + 38*o**2 - 103*o**3 + 23*o**2 + (5*o**2 - 3*o**2 + 0*o**2)*(-3*o - o + 6*o) as d*o + l*o**2 + u*o**3 + j and give u.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-1012)\/(-6)*12\/(48\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 10:40 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c + 12. Calculate the common denominator of (91\/c)\/(9\/6) and 131\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*w + 4*g, 0*g + g = -3*w - 2. Suppose -o - 18 = -4*o + 3*d, -4*o - 2*d = w. Solve -4*z = -u - 18, 2*z - 14 = -0*u - o*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32703, 65395, 98095, 130809, 163543, 196303?\nAnswer: 229095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 - 125*y**2\/2 - 665033*y - 366692214.\nAnswer: (y - 1974)*(y + 862)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/21, -0.5, 2\/11, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -m - 8, 4*m + j + 33 = 6. Let v = m + 6. Put -5, -2, v in ascending order.\nAnswer: -5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 + 318*a - 2777 - 156*a - 162*a.\nAnswer: -5*a**3 - 2777","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.4234 - -2.1734. Which is the smallest value? (a) j (b) 1 (c) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 60*l**3 + 50*l + 50. Let d(m) = m**3 + m + 1. What is 50*d(q) - v(q)?\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = -142*n + 7547 for n.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2354119050?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195\/520*(-2)\/3)\/(84\/48).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = q + 3*q, -4*h - 3*q = 14. Let n be -1*(3 + h)*1. Sort 3, -2, n.\nAnswer: -2, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*n - 0*n. Suppose -15*j = -39*j - 24. Let r(v) = 2*v**3 - 10*v**2 - 10*v + 10. Let a(k) = k**2 + k - 1. Give j*r(p) + n*a(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144 (base 9) in base 11?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -888522 (base 9) to base 13.\nAnswer: -1579a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1381317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*h**(2\/11))*h\/(h\/((h\/(h**(-2\/7)*h))\/h))*h**(-1)\/(h*h**4)*(h*h**0\/h*h**(1\/5))**(-18\/11) assuming h is positive.\nAnswer: h**(-2781\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 373527684 or 373527685?\nAnswer: 373527684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 5*n = 25. Let x = 3.6272 + -0.0372. Let u = 1.59 - x. What is the biggest value in n, u, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 2673?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -6.3438834.\nAnswer: -2.53755336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 810869770 to the nearest integer?\nAnswer: 28476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 10563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + (-1 - (-1 - 1)). Let h be (0 - 4)\/(r\/2). Is h + (-1 - -454) + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467263633.\nAnswer: 467263633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -0.009, 3, -1.\nAnswer: -1, -0.6, -0.009, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.993 + -16. Let f = x + -1.993. Is f > -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 7*s - 1. Suppose -5 = 3*t + 10. Let j be (2 + 68\/(-20))*t. What is p(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2647 - ((-1596)\/189 - (-8)\/18) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3297 = -147*f + 63 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 1102561.\nAnswer: -771792.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -362 - -358. Suppose 2*a = 3*a - 4. Put c, a, 5 in decreasing order.\nAnswer: 5, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 5*s**3\/9 + 5*s**2\/2 - 50*s\/3 - 7. Suppose p(i) = 0. What is i?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 283, 1, 0.5, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -85, -94, -85, -52?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -341 + 404. Suppose p = -366*s + 373*s. Solve 20 = -5*i + s*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19487180 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: Suppose 5*d + 2*q = -4921 + 657, -3*d - 5*q - 2566 = 0. Is 10 a factor of 18\/(-6) - (-2)\/((-8)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 5*g - 1. Let m be t(4). Let o = m - -8. Suppose -4*w = -o*w - 15. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/5888 and -13\/45264?\nAnswer: 724224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 l when three letters picked without replacement from {m: 2, i: 1, p: 1, l: 3, n: 3, q: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1\/2, -0.2, -368?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 8 - 1 - 21 - 5*s. Let r(f) = 4*f + 45. Let i(a) = 8*j(a) + 5*r(a). What is the tens digit of i(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46067402483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjmmmjjjjcmjj. What is prob of picking 1 c and 3 m?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8))**(-41)*(w\/(w**(-1\/9)\/w))\/((w*w\/(w*((w*(w**(-1\/19)\/w)\/w*w)\/w)\/w))\/w) assuming w is positive.\nAnswer: w**(56098\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1483, -2\/5, -1, 12, 0.16, 1?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*a - 2. Suppose 0 = -a*m - 6, 18 + 5 = 4*b - 5*m. Let y(o) = -2*o + 5 - b*o - 4. Calculate y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -7. Let x be (1\/r)\/((-4)\/(-24)). Suppose -20 = b - x*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.67498 to 2 decimal places.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2 - 705*s - 23862 = 0?\nAnswer: -194, -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**3\/3 - 14*a - 29. Let v(r) be the first derivative of u(r). Let l(j) = 71*j**2. What is l(v(k))?\nAnswer: 284*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-6)\/o)**(-40)\/((o*o**22)\/o**4))**(-2\/37) assuming o is positive.\nAnswer: o**(-442\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001274225677 rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**3 + v**2 + 3*v - 5. What is u(2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 33 = 7*s. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 17 = 2*q, 0 = 4*q - c - 1 - 6. Let v be ((-28)\/1)\/(-7) - 1. Suppose -q = 4*l - v*l. Is -1\/32 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 76846.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 9471.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003064 to 6 dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grg when three letters picked without replacement from rgggggggggggg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 4*r + 8. Let z(q) be the first derivative of 2*q**3\/3 - 2*q**2 + 2*q - 2. What are the prime factors of z(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - k**4 + (3*k + 0*k - k)*(-2*k**3 + 5*k**3 - k**3) - 2*k**4 - 2*k**4 - 4*k**4.\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, c: 7}. What is prob of sequence kc?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179\/903 or 20?\nAnswer: -179\/903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 2571\nAnswer: -12\/857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 890 and 10.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -52*n**3\/3 - 35*n**2\/2 + 58*n - 1. Differentiate v(u) wrt u.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 l when four letters picked without replacement from {r: 2, l: 3, u: 4, d: 6, f: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 286 = -2*g, -4*g = -3*q - 103 - 171. Let y = 148 + q. Suppose 0 = -2*l + y - 0. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40381943*g**3 - 30456968*g**2 wrt g?\nAnswer: 242291658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 20. Let f be q(-12). Calculate the common denominator of ((-78)\/f)\/((-25)\/60) and -79\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(468))**2*-4.\nAnswer: -1888 - 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12552 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**2 + 32*u - 12. Let l(f) = -3*f - 2. Determine -g(k) + 6*l(k).\nAnswer: 5*k**2 - 50*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 610 and 1891?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 230717656397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, e: 18}. Give prob of picking 1 l and 2 e.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*c + 1396 + 2184 + 786 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 23*a**2 - 54*a - 90. Let p be s(-25). Suppose t + 0*t - 23 = 0. Let y = t + p. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4700*((-8)\/4 + -1068). Round u to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**5 + 56*r**4 - 264*r**3 + 416*r**2 - 284*r + 72 = 0. What is r?\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 7*v - 5*l, -2*l = -5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11926130004 and 6.8?\nAnswer: 11926129997.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 631.06 + -631. Which is the biggest value? (a) 2\/3 (b) -2\/13 (c) -1 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 600 in increasing order.\nAnswer: -2, 4, 600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -10720 to the nearest one hundred.\nAnswer: -10700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -4, 2 in decreasing order.\nAnswer: 5, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -27, -34, -53, -90?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-77))\/((-5)\/(-105))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6979 and 6979.\nAnswer: 6979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 a when three letters picked without replacement from {a: 2, p: 5, z: 2, b: 1, e: 1, k: 5}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*f - 43*f - 47*f.\nAnswer: -211*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 74, 1\/3, 0.3, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lop when three letters picked without replacement from ooqxloqttpqtottxqtot?\nAnswer: 1\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 15. Let d = m - -16. Let z = d - 33.999974. What is z rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 3*b + 27, -4*n = b + 183 - 200 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -5457703?\nAnswer: 5457688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) + -2) - sqrt(99)) + -3 - (-4 + sqrt(88)\/sqrt(8) + -5).\nAnswer: -4*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 1\/4 (c) -1.52 (d) -2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 11112?\nAnswer: 255576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 5. Let x(a) = 1. Let m(j) = c(j) - 3*x(j). Let w be m(3). Suppose -s - l = -0*l - 2, 5*l + w = 0. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -1100111010110100101?\nAnswer: -1100111010110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1023 + 150. Suppose -12*p + 687 = -w. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 4 - 17 + 5*s)*(-s - s + 0*s).\nAnswer: -10*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1588074*n**2 + 5*n**3 + 1588074*n**2.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7853*r - 2274 with respect to r.\nAnswer: -7853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y - 12. Let i be r(-4). Calculate the common denominator of 117\/(-36) - (-2)\/i and -85\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1564 + ((-6)\/(-18))\/((-14)\/126). Solve 1558*l = i*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5138058, 5138057, 5138056, 5138055, 5138054, 5138053?\nAnswer: 5138052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*k + q - 13 - 10, -q = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a + 11 - 473. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*q + 3 = -3*w, 4*q = -w - 6. Let p = w + 4. Differentiate -2*j**p - 2 + 5*j**2 + 4 - 6*j**2 wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 608393.5 decades?\nAnswer: 60839.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**4\/2 - 532218*t**3 - 47207204334*t**2 + 377683181520*t - 755383394400 = 0?\nAnswer: -177410, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + 6*h**3 - 3*h**3 - 5*h**3 + 3*h - 3*h + (-h**2 + h**2 + 2*h**3)*(0 + 1 - 3) + h**3 - 3*h**3 + 0*h**3 - h**3 + 1 - 1.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 - 21*w**2 + 37*w + 20. Let v be y(3). Which is the nearest to 1? (a) v (b) 0.4 (c) -8.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 610416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*x + 4*z, 4*z - 6*z = 3*x + 58. Let t be (30\/(-40))\/(18\/x). Let w = -2.96 - 0.04. Sort -1, t, w.\nAnswer: w, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 213*f = 50*f - 326 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 5, 3.4, -3, 74?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -14. Which is the second biggest value? (a) 0 (b) v (c) 0.4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1479.2 and 5.\nAnswer: 7396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/((-4)\/60)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6064 - -5917.56. Let w = -3.44 - x. Let h = w - 142.999695. What is h rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/2)*k)\/k)**(-37)\/((k**(-4\/15)\/k)\/k*k**(-4)) assuming k is positive.\nAnswer: k**(-1477\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*o - 9 - 12, 0 = t + 3*o + 14. Let l be t + (-4 - 44\/(-5)). What is the third smallest value in l, 2\/9, 5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -4, -2\/29, 7 in increasing order.\nAnswer: -4, -2\/29, 3\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572964.\nAnswer: 2, 3, 7, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 6*m - 1. Let j be o(-5). Let c = 1613 + -857. Suppose c = j*v + 4*s, -v + 3*s = -6 - 203. List the prime factors of v.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 + -4.\nAnswer: -3.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -24*i - 25*i + 17120. Solve -i = 16*y - 348 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3344020 or -0.1?\nAnswer: 3344020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 7*z - 2*z**3 + 9*z + 233*z**2.\nAnswer: -2*z**3 + 233*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 564669793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a - 5 = 0. Suppose -313*l = -317*l + 144. Let j = l - 37. Sort a, j, -3 in decreasing order.\nAnswer: a, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -27*z - 6. Let s(k) = -2*k - 1. Let l = 77 + -76. Let g(p) = l*m(p) - 6*s(p). Let x(q) = 4*q. Calculate x(g(u)).\nAnswer: -60*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 233553 and 613?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 403615*v**5 + v**4 + 582012*v**2?\nAnswer: 24216900*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 642\/5 - (-12)\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 7:33 AM?\nAnswer: 518","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 53513 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2430*j**2 + 23*j wrt j.\nAnswer: -4860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-1520)*32)\/(2\/25).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-5)\/p)\/((p*p**5)\/p))**(-2\/51) assuming p is positive.\nAnswer: p**(22\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 82019700 to the nearest 100000.\nAnswer: 82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/6 + (-11)\/33.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.55 + -5.17. Let y = -12.719998101 - o. Round y to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8422957.\nAnswer: 331, 25447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u - 974. Let q(v) = 7*v - 968. Give 4*p(m) - 3*q(m).\nAnswer: 3*m - 992","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of 22*i**3\/3 - 22*i. Let m(s) = 2*s**2. What is m(x(q))?\nAnswer: 3872*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 51. Is -38\/9 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6379*d**5*g + 4166*d**4*g + 4*d*g - 110*d - 1843*g wrt d.\nAnswer: 127580*d**3*g + 49992*d**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110012011220120 + 11?\nAnswer: 110012011220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2))**28\/(c**(-1))**(-33)*(((c\/(c\/((c**(-10)\/c)\/c*c)))\/c)\/((c*((c*c**7)\/c)\/c*c)\/c*c))**23 assuming c is positive.\nAnswer: c**(-507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Let f = 978\/7 - 2927\/21. Let r = 2.75 + 0.25. What is the closest to 0.1 in h, r, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17403636 a multiple of 908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.061 - 0.002. Let h = i - -0.0629795. What is h rounded to six decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 11. Solve 0*r - 6 = 3*r + h*w, -2*r = 3*w + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178467 times 212?\nAnswer: -37835004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 254*w**3 + 2*w**2 - w - 2. Let z be g(-1). Let f = 1194 + z. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -513357.5 and 7.\nAnswer: -513350.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -29299.8458 to the nearest one hundred.\nAnswer: -29300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (5\/110)\/((-4)\/((-48)\/(-3)))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2 * -183.\nAnswer: -219.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6535 + -141.\nAnswer: -6676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163125994.5 microseconds to weeks.\nAnswer: 0.00026971890625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 630882 - 1070882. What is i rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c + 1. Let o(v) = -12*v - 2. Let l(f) = -4 - 4 - 37*f + 2. Let q = 10 + -2. Let x(d) = q*o(d) - 3*l(d). What is 13*m(t) - 6*x(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 7 - 11 + 24 + 1189*r**4 - 2*r in the form q*r**3 + y + x*r + v*r**4 + o*r**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*l + 99 - 2235 + 227 = 0 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 - 100. Let q = t + -27. Suppose 6*g = -q*g + 510. What are the prime factors of g?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -12*c**4 + 24284*c**3 - 12655520*c**2 + 365747136*c + 5587034112 = 0.\nAnswer: -11, 128\/3, 996","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3 + 51*s**2 - 435*s - 5887 = 0.\nAnswer: -7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1568 + 50*q**2 + 1568)*(q - 1 + 1)*(-1 + 5 - 3).\nAnswer: 50*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 309614.0536 to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -4\/5, 9, -2, 0.3, 71.\nAnswer: -2, -4\/5, -0.6, 0.3, 9, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2565, -4621, -6677, -8733, -10789?\nAnswer: -12845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/3451 - 172544\/10353. Suppose 251 = -3*q - 37. Let t = 79 + q. Which is bigger: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Let y(h) be the third derivative of h**7\/105 + h**6\/10 + 13*h**5\/30 + h**4 + 4*h**3\/3 + 22*h**2. Factor y(p).\nAnswer: 2*(p + 1)**2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/t)**(-5\/16)\/(t**(-1))**(-6\/19)*t\/((t*t**0)\/t)*t**(-2\/5)*t**(-5)\/(t\/t**(-1\/7)*t) assuming t is positive.\nAnswer: t**(-33163\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 5*i - 8*i - 7 = 0, -x = -5*i - 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*l - 483 = 91*l. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*n - 14*n - 2846 + 6*n - 178*n**4 + 175*n**4 wrt n?\nAnswer: -12*n**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -2*n, 0 = -n + 6*n - 3*h - 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 10*u - 21. Let g = 128 + -116. Let q be p(g). Solve 2*s = 4*t - 2, -2*t + s = q*t - 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 0)*(-306)\/(-3213)*30\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 3*w + 3*w)*(3 - 2 - 3) + 0 + 0 + w**2 + (10 + 52 - 3)*(w**2 - 60*w + 94*w - 49*w).\nAnswer: 56*w**2 - 885*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.702 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 25 = 21. Suppose -f*s + 407 = -i, 409 = 3*s + s + i. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6466 (b) -0.5 (c) 0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163548 by 23364.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19427*w = 19532*w - 735 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -48285 (base 13) to base 14\nAnswer: -362b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5476 and 11204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 3*m - 2. Suppose -3*o + 2 - 14 = 2*l, -l - 2*o - 4 = 0. Calculate the least common multiple of j(-2) and 5 - ((-119)\/(-35) - l\/20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 22*y**2 + 20. Let f(p) = -8*p**2 + 7. Calculate -11*f(b) + 4*x(b).\nAnswer: -4*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 232 - 220 = 0. Let j be 28*(18\/b - -5) - -4. Calculate the highest common factor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - d)*((-38 + 16 - 38)*(-2 + 3 - 2) - 12 - 18 + 12) to the form q + s*d and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 186*z**2 - 129*z + 24006. Give n(186).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 45523450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 13*d**2 - 15*d - 12. Calculate the remainder when 45 is divided by t(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*1233018.\nAnswer: -86311.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2042.6 + -2042.9. What is the nearest to -0.3 in 220, -0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c + 177105 = -5*v + 177000, 8*v = 3*c - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1936)\/64 - (2 - 9\/4). Let m be (-44)\/330 + 26\/s. Which is the nearest to -22? (a) m (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 8:46 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008049 rounded to seven decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 5. Let m be q(0). Suppose 0*d + 5*r = 4*d - 32, -5*r = 5*d + m. What is the units digit of (1 + -13)*(-2)\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**17*u*u)*u)\/u**(-1\/3))\/(u**(-7)*u*u*u**(2\/21)\/u) assuming u is positive.\nAnswer: u**(-247\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*q - 203*q - 22 = 0. Solve 0*w + 5 = -w, 3*w = -q*u - 23 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72981852761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10*d**3 + 8*d**2 - 3*d + 3. Let i(x) = 9*x**3 + 7*x**2 - 3*x + 2. Let c(w) = -6*i(w) + 5*t(w). Suppose 4*m + 10 = 2. Is c(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22820 - 21229. What is the highest common factor of 215 and i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77839 is divided by 77824?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3 - v + 0 - v**2 + 3*v - 31*v**3 + 32*v**3. Determine t(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 + 7*s - 4. Let b be p(1). Solve -b = -4*h - 2*t, -2*h - 5*t - 41 = -6*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195547273.\nAnswer: 43, 61, 74551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 11820116 and 11820116 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v + 5. Let i(x) = 34*x - 15. Let s(o) = 6*i(o) + 17*r(o). Let f be s(6). Suppose -6*n - 2*h + f = -n, 3*h = 3. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131 (base 6) in base 2?\nAnswer: 1010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 135*k**3 + 5*k + 7. Let u(r) = 203*r**3 + 7*r + 10. Determine 7*h(b) - 5*u(b).\nAnswer: -70*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**3 - 7*z**2 + 6. Let k(u) = -u**3 + u**2 + u - 1. Let x(c) = 3*k(c) + o(c). Let a = 63 + -60. Let t be x(a). Solve -p = t*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-2 - 15\/(-6)). Let y(t) = -19*t - 8. Let o be y(1). Let x = o + 31. Sort x, 3, c in increasing order.\nAnswer: c, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/15)\/(1*-3). Suppose a = -9*b + 3*b + 12. Suppose b*g + 26 = n - 13, -4*n + g + 142 = 0. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {q: 1, e: 5, x: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 6027.4 to the nearest 100.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 237 = 66*s, 435*f = 434*f + 5*s - 28 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.15, -0.02, -2\/101, -2\/3, -0.4, 29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30514*i - 28955*i + 62360 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -3. Let b(g) = -g**3 - 3*g**2 + 3*g + 3. Let m(d) = d**3 + 4*d**2 - 4*d - 4. Let a be 1 + 0 - (-3 - 0). Give a*b(x) + s*m(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/9 - 40*x**3\/9 - 88*x**2\/9.\nAnswer: 2*x**2*(x - 22)*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15239 divided by 11?\nAnswer: 15239\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -698\/885 - 2\/177. Let z = 1.6 + -0.6. Which is the nearest to 7? (a) z (b) y (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m + 135 = 0. Suppose v - m = 2*v - 2*s, -2*v = -s + 45. Let n = -13 - v. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*g**2 - 12887522*g + 320*g**2 + 12887522*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 87.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12 - 2) + -48 - (-14 - 0)) + 83?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 113, 4 in ascending order.\nAnswer: -6, 0, 4, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -202 - -342. What is the highest common divisor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2015144 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1188 + 1198. Calculate the least common multiple of o and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6558 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 9 = 0, 4*s + 0 = -u - 19. What is the nearest to 0.1 in -1, 4, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/3 + 15393644*b\/3 + 29620534449842\/3 = 0. Calculate b.\nAnswer: -3848411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 233*t**2\/2 - 15113*t\/2 - 3749.\nAnswer: (t - 163)*(t + 46)*(2*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6481243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/((-25707)\/1140))\/10\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-30)\/45*12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -885, -884, -883?\n\"Answer: h - 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 684 and 20421.\nAnswer: 1551996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from {o: 3, x: 2, s: 1, j: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9057*u + 159757 wrt u?\nAnswer: 9057","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -323*j - 27. Let m be w(1). Let z = 350 + m. Suppose 4*b + 0*b + 40 = 0. Put -3, b, z, -2 in decreasing order.\nAnswer: z, -2, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 195 and 37596?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -1203?\nAnswer: 1202.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/q**(-6))*q*q*q\/((q\/(q\/q**(3\/10)*q)*q)\/q*q)*q**(12\/5)\/(q*q*q**(4\/9)) assuming q is positive.\nAnswer: q**(-301\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26036 is divided by 26034.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -2) + 34\/(-2). Let z = v + 25. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i + 9. Determine z(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16186411?\nAnswer: 23, 61, 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 6*j = -15, -2*j = 2*y - 11514. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*u + 6 - 2*u**3 + 2*u**2 + 175*u - 89*u - 1 in the form c*u**2 + g*u**3 + z*u + k and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1 + (-2 + 1 + 4)*(-3 + 5 - 3))*(-3*m**4 + 3*m**4 - m**4) as v*m + i + k*m**3 + g*m**2 + s*m**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-2)\/((-50)\/(-5)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 41, -41 in descending order.\nAnswer: 41, 8, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 106500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 2 - 8) + 28*(-3)\/(-6). Suppose 2*s = s + 3, -4*v + s + 33 = 0. Suppose l*q - q = v. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -8 + -2 + (3 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -19733 + 6578 + 6576 + 11219*h**2 + 6579 as i*h + u + d*h**2 and give d.\nAnswer: 11219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 * -3078.\nAnswer: -150822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -31. Put 7, 5, r in ascending order.\nAnswer: r, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v + 2*v + 0*v)*(6 - 2 - 2) - 2*v + 4*v + 0*v)*(3 - 2 + 1).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*p = 30, -8 = 2*u + 3*p - 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*w - 3 = -9, -2*w = 2*v - 10. Suppose v*o + 4 = 5*r, 11 - 3 = 2*r. Suppose 0 = 2*u - 8 - 4. Calculate the remainder when u is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpgrl. What is prob of sequence rg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**6 - 42302*g**4 + 3*g**2 + 545*g - 9 wrt g.\nAnswer: 240*g**3 - 1015248*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -965608092 + -546.\nAnswer: -965608638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45381935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 11*v - 16. Let g be c(-10). Let z be g + (-8 - -17) - 3\/1. Solve 2*l - 4 + 0 = z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/2562*75\/(-50) and 115\/14?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80765 + -7\nAnswer: -80772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p - 5. Let v(y) = -3 + 1 + 3. Let m(b) = c(b) + 5*v(b). Suppose 4*d = -5*r + 18, 3*d = d + 3*r - 2. Determine m(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 48.23985474\nAnswer: 49.23985474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7*0.175\nAnswer: 1.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 92?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10714434.3 seconds?\nAnswer: 124.00965625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -44b844 (base 14) to base 9\nAnswer: -4351403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8502 to 1 decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 504923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10 + x**2 - x**3 - x - 2 + 0. Let q(n) = 3*n - 12. Let l be q(5). Let y(m) = m - 3. Let g be y(l). Calculate u(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501208800 to the power of 1\/2, to the nearest integer?\nAnswer: 38745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 11*n**2 + n + 7. Let h be o(-11). Which is the closest to 0? (a) h (b) 18\/11 (c) 16 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.1 + -20. Let u be 0 + 0\/(-2) - 1. Let r = u + 2. Which is the nearest to r? (a) -0.4 (b) -2\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11444 + -35.94.\nAnswer: 11408.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(-33)*-21 + 28\/4. Is j smaller than 4\/333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1300) + 2)**2.\nAnswer: -1304 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11031, -22024, -32933, -43716, -54331, -64736?\nAnswer: -74889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*t + 88*t - 5180 = 0. Solve t = -11*q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3596518 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2*q = 2, -27*q + 12 = -30*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 218 + -216. Suppose -4 = 5*q - 3*q. What is the smallest value in q, 0.5, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4271 divide 209982159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v**3 + 45 - 10*v + 17*v - 78*v + 37*v**2 + 5*v**3. Let q be x(35). Solve 0 = -p + 4*k - 21, -2*p - 12 - q = -3*k for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 280.\nAnswer: 9240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4344030.\nAnswer: 2, 3, 5, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88671526.\nAnswer: 2, 401, 110563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*sqrt(66))\/sqrt(6).\nAnswer: 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2\/21 - 363316*b\/21 - 605510\/7 = 0?\nAnswer: -181653, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 81 + 347\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b - 17*b + 6. Let r be (-2 - (-12)\/8)*b. Let f(u) = -4*u + 2*u - u. What is f(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77) - sqrt(77))*4)\/(-2*((sqrt(11) - (sqrt(11) + sqrt(11)*-2)) + sqrt(11))).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*y + 4*q - 662004, 3*q = y - 661997. What is y rounded to the nearest 10000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**33\/(k\/(k*k**(3\/16))) assuming k is positive.\nAnswer: k**(531\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 5*d**2 + 2. Let k be s(-3). Suppose -5*a = -5*y - k, 4*a + 3*y + y = 24. Let m = 15 - a. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117243103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -11. What is the closest to -1 in z, 0.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 11166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118014494437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 377773210 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63\/8 - 425\/56. Suppose 5 = -3*q - c, c + 3*c + 20 = 2*q. Is q greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182482961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 1\/12*c**4 + 6*c + 0 - 1\/3*c**3 + 3\/2*c**2. Let f(a) = -4*a**2 + 7*a - 12. Let r(x) = -2*f(x) - 9*h(x). Solve r(m) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = -2*g + 222. What is the second derivative of 13 - g*q**5 - q**4 - 42*q**5 + q**4 + 5*q + q wrt q?\nAnswer: -1040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72823?\nAnswer: 72823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*i - 312*i + 653*i.\nAnswer: 17*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1948109 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 131060 rounded to the nearest 1000?\nAnswer: 131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10534324739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-30) - 4\/(-10). Does 2\/51 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q. Suppose z - 3 = -q*z. Suppose 0*v - z = -v. Solve v*j - 1 = 5*g, 2*g = -j - 4*j - 19 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 454177, 454182, 454193, 454210, 454233?\nAnswer: 454262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 - (1 + -2 - 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g - 1660 + 1723 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 323281455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 5*s**2 + 4. Let g be d(-5). Let y = 4 + g. Let j be y\/36 - (-68)\/18. Which is the second smallest value? (a) -4 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14)*-1)\/((-35)\/(-245))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 7*i**2 - 9*i - 9. Let w(y) = -y**3 + 12*y**2 + 6*y - 1. Let c be w(11). Let o = c - 194. Calculate l(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(1\/6)\/l))**(-16)*(l*l\/((l*l**4*l)\/l))\/l**(1\/2))**(2\/5) assuming l is positive.\nAnswer: l**(-197\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544595 + 132785 = -11301*m + 1496*m for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101001000011111 + -1001?\nAnswer: -100101001000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqvrm. Give prob of picking 1 d and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 396 - 371. Suppose t*g - 15590 = 23*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 283*f - 14345. Give y(57).\nAnswer: 1786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 3*v + 52, 5*v - 5 = -q + 1. What are the prime factors of q - ((1 - -3) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1038 + (-235)\/(-30) + -8 + (-185)\/(-30). What is the greatest common divisor of 144 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 + -221\nAnswer: -221.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31723484 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5)*(796\/2985)\/((-48)\/(-9))?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163761.\nAnswer: 3, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173963399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -0.5 (c) 3 (d) 5 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 17045?\nAnswer: 17043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = k - 2*j + 27, 0 = 5*k - j + 113. Let y = 3 - k. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14445?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0*p)**(-8)\/((p*p**(-7)*p)\/(p\/p**(2\/5))))\/((p\/((p\/(p**(5\/6)\/p)*p)\/p))\/p**(-2\/17)*p\/p**(-2\/7)*p*p**(-3\/5)\/p) assuming p is positive.\nAnswer: p**(-39401\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 7*s**2 + 38*s**3 + s - 34*s**3.\nAnswer: 4*s**3 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 15*k**3 + k**2 - 2*k + 1. Let v be t(1). Calculate the common denominator of (0 - 0) + 7\/(-3) and (-22)\/(6\/v*6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/40, -34\/5, -1?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 12, -2*t - 3*v + 20 = -5*v. Solve -t*q - 7*q - 26 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -20. Suppose 0 = -r - 0 + t. Suppose 0 = r*x - 8*x + 15. Let g(q) = q**3 + 5*q**2 - 4*q - 5. What is g(x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -9. Find the second derivative of y*x + 3*x**4 - 3*x - 4*x wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1187? (a) 0.08 (b) 1 (c) 28 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25130410 (base 7) in base 16?\nAnswer: -227a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 717, 735, 765, 801, 837?\n\"Answer: -y**3 + 12*y**2 - 11*y + 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-6))\/((-4)\/(-84)). Let w(i) = 4*i - 9. Let g be w(k). Let m be (-17)\/g + 1\/1. Which is the nearest to 1? (a) 1 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)\/(sqrt(28)\/sqrt(4)))\/(sqrt(108)\/(sqrt(9)*2)) + -4)**2.\nAnswer: -16*sqrt(5) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323855?\nAnswer: 5, 7, 19, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 - 72. Calculate the remainder when 76 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32634, 27, -3.\nAnswer: -32634, -3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 139317*c - 368*c**3 - 657063*c**2 + 3182*c**3 - 3*c**4 + 168487*c - 1013625*c - 662700 - 616759*c.\nAnswer: -3*(c - 470)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 34*w**2 + 90*w - 96. Let h be o(-31). Put 3, 2, 0, h in descending order.\nAnswer: 3, 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19855, -22084, -24313, -26542?\nAnswer: -28771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8856 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 44 + 51 + 54 - 4*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 0\/(30\/(-5)). Solve 10*f - 8*f - 2 = b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*s - 2*s. Suppose 2*d = -3*d + 5. Let a(n) = -n**3 - 2*n**2 - 2*n - 1. Let p be a(-1). Solve p = -t + s*t + d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**3*f**(-2\/9)\/f assuming f is positive.\nAnswer: f**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8\/15 of a hour?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0107 - 0.1107. Let v = 0.13 - 5.13. Which is the closest to r? (a) v (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -h - 0*h, b = -2*h - 4. What is j in -b*j + 7*j**2 - j**3 - j**2 + j - 2*j**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-5*sqrt(15)\/sqrt(5))*6.\nAnswer: -6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 223*s**2 + 135*s - 486. Let h(b) = 84*b**2 + 45*b - 162. Let r(o) = -3*g(o) + 8*h(o). Factor r(p).\nAnswer: 3*(p - 9)*(p - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 z when three letters picked without replacement from {w: 11, z: 5}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 42 = -31*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 414919455234 and -3.\nAnswer: 414919455231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 685, 1419, 2151, 2881, 3609?\nAnswer: 4335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -8 + 13 + (-15 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 3*2)\/(-2). Suppose 0 = -3*j - b*j. Let u be (-1 - -2) + -2 + 5. Solve j*f + u*f = -12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 139 = 89 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13734800 rounded to the nearest 100000?\nAnswer: -13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 92 = -4*j, 3*l + 2*j - 4*j + 59 = 0. Let f be 2\/(-32)*-4 + 290\/(-8). Is 28 a factor of 4\/(36\/l)*f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 8121*y - 7770404.\nAnswer: -(y + 1108)*(y + 7013)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/525 + 154\/(-50).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 12*g + 1. Let x be a(-12). What is the remainder when 14\/21*(x - -110) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 1 - 3 = 0. Suppose 4*r - 1026 = 2*d, t*r - 3*r - 2*d + 244 = 0. Suppose 0 = -3*a - 4*b + r, 3*a - 8 = -2*b + 242. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30705 and 1830.\nAnswer: 3746010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -19*w - 14. Let t be q(8). Let s = 149 - t. Which is smaller: 316 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = -4. What is the remainder when 8 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39.812 - -3.222. Let v = w + 36. Let l = -0.69 - v. Which is the nearest to -2\/3? (a) -0.3 (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -2*m - 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -124\/105 - -22\/15. Let a = 448.1 - 448. What is the closest to p in -0.3, 41, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/11 + 3946*d**2\/11 + 1956192*d\/11 + 9682560\/11.\nAnswer: 2*(d + 5)*(d + 984)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 69*n - 8419. What is v(-134)?\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 6*u + 3. Let d be (6\/4)\/((-39)\/(-182)). Give i(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*s - 4*v, -327*s + 329*s + 10 = -4*v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**17)**(4\/17) assuming d is positive.\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 36 = 0. Let f = -5289 - -5451. What is the greatest common divisor of f and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**7\/336 + o**6\/240 + 2*o**5\/15 - 5*o**2. Let u(s) be the third derivative of x(s). Differentiate u(r) with respect to r.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99983 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2*y*y**(-3\/10))**15 assuming y is positive.\nAnswer: y**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2754115, 2754120, 2754125, 2754130?\n\"Answer: 5*a + 2754110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4689*d**2 + 5*d + 19. Let x(u) = -2345*u**2 + 2*u + 10. Let o(n) = -2*q(n) + 5*x(n). Let k be o(14). What is k rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 0 + 0*b + 0*b**3 + 1\/7*b**2 - 1\/7*b**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -3) + (-1 + -3 - (-10 + 8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 725258 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjv when three letters picked without replacement from ajvjaaasaaaqj.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16317 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 8*s**2 + 9*s + 4. Let o = 6 + -12. List the prime factors of y(o).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 - 1329\/10. Let a(f) be the first derivative of -3*f**3 + 7\/8*f**4 - 4*f + 5*f**2 - m*f**5 + 4. Let a(o) = 0. What is o?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k + 5*k**3 - 4*k**3 + 146*k**2 + 6 + 148*k**2 - 297*k**2. Let l = -7 - -11. Let t be x(l). Solve -8 = 2*s, 5*s + 9 = t*o - 7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jke when three letters picked without replacement from kejkb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 340, 228, -4 in ascending order.\nAnswer: -4, 228, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 545916480.\nAnswer: 2, 3, 5, 103, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*n + 6*n. Let a = n + 2\/5. Find h, given that -2\/5*h - a + 2\/5*h**2 + 2\/5*h**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4)*1092\/(-819).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112000211 + -2?\nAnswer: 112000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*f - 2*f**2 + 5*f**2 + 17*f + 4*f**2 - 6*f**2 - 7*f**2 + (2 + 2 - 2)*(9*f**2 + 2*f**2 + f**2).\nAnswer: 18*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 1. Let z be m(0). What is the second smallest value in z, -0.051, -3?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.866 - -1.86604714. What is o rounded to six decimal places?\nAnswer: 0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 3*q**2 + 5*q - 4. Let n be p(4). Suppose 4*v = -n*v + 44. What is the third derivative of -4*a**3 - 11 - 4*a**2 + v wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - 2)\/(2\/(-70)). Suppose 0*w = -2*w - u + 115, 4*w - u = q. Let f be (-4)\/14 - w\/(-14). Solve r - f = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7584 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3543, 3561, 3593, 3645, 3723, 3833?\n\"Answer: q**3 + q**2 + 8*q + 3533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2860198?\nAnswer: 2, 11, 53, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1109 is divided by 164?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 7*p**2 - 2*p. Determine n(-6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 20 = -6*m - 4*f, 0 = -2*m - 2*f for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in -0.2, 1\/609, -1.25?\nAnswer: 1\/609","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -71.838849.\nAnswer: 71.838849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 8*c**2 + 7*c - 2. Let i be x(-7). Let o be 208\/20 - i\/(-5). Suppose h - 5*v = 10, -3*h - 8*v + 3*v = o. Solve -4*s - 12 = -h*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-15))\/(-1)*4680\/468?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a micrometer in nanometers?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -216 and -228402\/1063 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 4*i - 2. Let d(a) be the second derivative of a**3\/2 - a**2\/2 - 749*a. What is 3*d(q) - 2*w(q)?\nAnswer: 2*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/17)*(r**3*r)\/r*r*r*r\/r**(-21)*r**40)**35 assuming r is positive.\nAnswer: r**(39935\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9*3*2\/(-6). Suppose -5*z = -o + 19. Let s be z\/(-2) - (1 + -24). Calculate the greatest common divisor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2667298 is divided by 201?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.702 rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -152?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1720 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4532528 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 5*z - 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4412620271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/(-140))\/((-48)\/10*8\/16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55539 is divided by 2772?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -5\/6, -8828.12, 0, 0.5 in decreasing order.\nAnswer: 0.5, 0, -1\/8, -5\/6, -8828.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 11 = -5*m - 4*l, 10 = -5*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7739615 divided by 3841.\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1318?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(1*sqrt(11)) + 6*(sqrt(17) + 3))**2.\nAnswer: 252*sqrt(17) + 1157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 5*v + v)*((57*v - 6*v + 12*v + (4*v - v - v)*(1 - 2 + 3))*(-v + 2*v - 4*v) + (-3 + 2*v + 3)*(0 + 8*v + 0)).\nAnswer: 370*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11036 divided by -2759\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 2\/68613, 0.3, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939859?\nAnswer: 47, 19997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-11)*-4)\/(1576\/394*2\/4)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 d when three letters picked without replacement from {d: 2, z: 4, x: 2, n: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35474 - 35491.449. Let t = y - -17.59877. Let n = t - 0.151. Round n to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77522000 rounded to the nearest 100000?\nAnswer: -77500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 20 - -21 - 11) + (0 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/1420470 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 4*x**2 + 103*x - 98. Let w be m(12). Which is the fourth smallest value? (a) 55 (b) -0.3 (c) -5 (d) -0.5 (e) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*b + 17*b - 3 - 9 + (-2 + 1 + 2)*(2*b - 2 + 2) - 1 + 1 - b + (3*b + 2*b - 4*b)*(-2 + 0 - 1).\nAnswer: -4*b - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24cb2 (base 14) in base 8?\nAnswer: -260314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010101 - -1111111?\nAnswer: 100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -181 + 183. Let v = -76\/33 - -51\/11. Factor -v*j + j**z + 2\/3.\nAnswer: (j - 2)*(3*j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 295 + -210. Let r be ((-484)\/10)\/((-17)\/a). Suppose -4*l + 3*g + r = 0, -l + 0*l + 2*g = -63. What is the remainder when l is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, -6, -24, -58, -114?\n\"Answer: -w**3 + w**2 - 4*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.701 - -16.121. Let z = 24.6 + -8.6. Let n = q - z. Round n to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145984 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173014\/256165 - -6\/3941. Let p = -14\/13 + t. Which is the third biggest value? (a) p (b) -2\/11 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*m**4 - 6*m**3 + 2*m**2 + 142*m + 7 wrt m.\nAnswer: 2112*m - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 552*k - 11638.\nAnswer: -2*(k - 253)*(k - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2*-6297339\nAnswer: 12594678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 170*r + 6. Let h be z(5). Let k(x) = h*x + 853*x - 1705*x. Determine k(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 18. Suppose -6*k = -a - 90. Calculate the lowest common multiple of k and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 165 - 99. Calculate the highest common factor of 165 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 475\/2584 - (-4)\/(-32*1)*1\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17562673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/3*-8. Suppose 4*z + d = -0*z - 34, 4*d = 2*z + 26. Let q be (z + -1)*6\/(-4). Solve 9*a + q = v*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m - 2. Calculate g(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 116 + -3?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t + 21. Let r be c(11). Suppose 0*v - 2*v - 2 = 0. Let n(q) = -2*q**2 + 12*q + 10. Let h(p) = -p - 1. What is r*h(m) + v*n(m)?\nAnswer: 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/5)\/q**(-6))\/((q*q**5)\/q*q**(2\/3)))**21 assuming q is positive.\nAnswer: q**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*q**4 - 2 + 22*q + 20*q + 27*q + 21*q - 88*q as w*q**3 + i*q**2 + f*q**4 + k + c*q and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262 - 237 - 16*q**3 + 731 + 45*q**3 - 243.\nAnswer: 29*q**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 10 = 20. Let o(v) = v**3 - 3*v**2 + 4. Let x(m) = -m**3 + 2*m**2 - 3. Let s(q) = w*x(q) - 4*o(q). What is the first derivative of s(y) wrt y?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44400121 (base 5) to base 10.\nAnswer: -387536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 53149875725369.\nAnswer: -53149875725369.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 166, 452, 858, 1384, 2030, 2796?\n\"Answer: 60*i**2 + 106*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) -2 (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10624 and 13536.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -820262654?\nAnswer: -820262650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 13*b**2 + 13*b - 18. Determine j(-12).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595256092.\nAnswer: 2, 19, 7832317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Suppose -4*v + r + 62 = 0, -72 = -h*v - v + 4*r. What is the smallest common multiple of v and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 45 = 3*a, 153*a + 50 = 148*a. Factor 0*r**2 + 125\/3*r**z + 5\/3*r**5 + 50\/3*r**4 + 0 + 0*r.\nAnswer: 5*r**3*(r + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*d + 2*a, 2*a - 16 = -d - 0*a. What is the highest common factor of d and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 538460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {o: 2, g: 2, d: 4, k: 2, a: 2, q: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/11, -9, 3, 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2520282 minus -8.4?\nAnswer: -2520273.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, c: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6.4, -0.4, 2\/227 in ascending order.\nAnswer: -6.4, -2, -0.4, 2\/227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**4 + 7424*m**3 - m**2 - 9*m + 169?\nAnswer: -48*m + 44544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354 - 1454 - 228 = -83*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000010101011 - 100?\nAnswer: 100000010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -3*z - 13, 16*z = 42*x + 13*z - 165 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -30*q**2 - 4*q + 18. Let d(h) = 15*h**2 + 2*h - 8. Let v(o) = 9*d(o) + 4*y(o). Determine v(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v. Let f be 5\/(-2)*(-18)\/15. Suppose f*p - 5*c = 121, p + 2*c - 3*c - 41 = v. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = w + 198 + 125, -169 = -2*v + 3*w. Calculate the highest common divisor of 200 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 246, 249, 252?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00174478 to six decimal places.\nAnswer: 0.001745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 898149759.4508 - -0.2\nAnswer: 898149759.6508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, -0.1, -1.0551 in increasing order.\nAnswer: -1.0551, -0.1, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.112 * 3231.\nAnswer: -361.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 479473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -981.3735 - 138.1455. Let h = 1120 + n. What is h rounded to two dps?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/24 and -85\/106810662.\nAnswer: 427242648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 2:42 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 = 4*z, 3*n + z - 13 = -n. Let w be n - (8\/10)\/((-2)\/25). Solve 4*l + 3*v - w = 0, -l + 0*v + 8 = -4*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2541\/25 - -93851\/900. Calculate the common denominator of q and 56\/159.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 12:14 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + a. Suppose 146*m - 18026 = 585*m + 412. Let y(i) = -14*i**2 - 42*i. Give m*d(c) - y(c).\nAnswer: 56*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 301 - 606 + 304. Let z = -15 + 14. Let y(r) = 3 + 3 + 5*r - 3*r. What is z*y(o) - 4*l(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -760, -0.1, 0.2, 82?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)\/sqrt(5) - (-5 + -2*sqrt(7))) + 3.\nAnswer: 8 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 85679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -12. Let u(n) = -n**2 - 3*n - 1. Let x be u(l). Suppose 0 = 2*i + 7 + x, -3*t + 4*i = -2251. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**3*n**2 + 10588274*g**3*n + 3*g**3 + 2242*g**2*n**2 + 3094*g*n**2 wrt g.\nAnswer: 12*n**2 + 63529644*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**5 + 0 + 0)*(1 + 1 - 7).\nAnswer: -10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -4. Let w = -5 + p. Is -1 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nngw when four letters picked without replacement from {n: 11, c: 2, w: 1, g: 1}?\nAnswer: 11\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 + 2.05. Let l = -1.21 - -1.11. Which is the closest to l? (a) 1 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - o - 20 = 0, -34*o - 12 = -31*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(29\/5)*q)**(19\/4)\/(q*q\/(q**(1\/8)\/q)*q)**(-19))**(-50) assuming q is positive.\nAnswer: q**(-12065\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 93701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*b**3 - 44*b + 44*b)*(-3 + 0 + 1)*(-2*b**2 + 0 + 0).\nAnswer: 312*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-9))\/((-7)\/(-6))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 37000*k**2 - k + 5. Suppose 0 = -4*b + 5*i + 45, -7*i + 11*i + 45 = 5*b. Let z be s(b). What is z rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1221 + 1225. What is the closest to u in 1\/4, -20\/3, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509715113.\nAnswer: 31, 16442423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-38)*(-12)\/(-27)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 190*l - 195.\nAnswer: 5*(l - 1)*(l + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 349289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/(-3) - 13)*(-15)\/(-10). Let u(o) = o**3 + 14*o**2 - 20*o - 42. What is the least common multiple of u(d) and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 9:39 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 486\/21357*(-3)\/(-72)*3 and 77\/1356.\nAnswer: 9492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158471429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 v, and 2 e when four letters picked without replacement from veuzveuvvvv.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/9 (b) -6 (c) 0.2 (d) 13\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -440*x + 885*x - 446*x + 7.\nAnswer: -x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 243757 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**3 + 3*q**2 - 18*q + 3. Let u(b) = -3*b**3 - 4*b**2 + 19*b - 4. Determine -3*a(j) - 2*u(j).\nAnswer: -3*j**3 - j**2 + 16*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12*-101\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 142061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 35. Let r = 10981\/24 + -1343\/3. Calculate the common denominator of 6\/(-8)*(-160)\/y and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*x - 1045, 3*x = -2*q - 3*q + 1045. Suppose q - 2594 = -5*j. Suppose 3*n - j = -5*d, 0 = 6*d - 2*d - 3*n - 387. 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: Does 98 divide 66532460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1771025 is divided by 1973.\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1184\/(-48))\/((-2)\/12). Let i = 3931 - 3782. Which is greater: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700)*2 + (sqrt(17) + -2)**2 + -5.\nAnswer: 16 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-2) - (-2)\/(-2). Let g be (-24)\/6 + (-20)\/s. Let w(u) = u**2 + 14*u + 5. Let i be w(g). Calculate the highest common factor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 10*t**2 - 4*t + 70. Let u be z(10). Solve -5*w + u = 5*v, -3*v = -2*w + 3 + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.7836 + 1.8. Round w to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - s = -0*s + 2, 3*s - 3 = 0. Let x be (-96)\/44 - (-4)\/22. Is (x\/u)\/(1\/(-18)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 3:31 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192921, -771169, -1734911, -3084147, -4818877, -6939101, -9444819?\nAnswer: -12336031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53 and -6.\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 63939431 a multiple of 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58.9986 - -59. Let s = 0.00139429 - g. What is s rounded to 7 decimal places?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -89756, -358552, -806558, -1433780, -2240224?\n\"Answer: -i**3 - 89599*i**2 + 8*i - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 949*r + 1902. Let i be m(2). Which is the second smallest value? (a) 0.08 (b) -1\/3 (c) -5\/4 (d) 0.5 (e) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -330 less than -152892\/463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 6 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4126.148 and -0.2.\nAnswer: -4126.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 11*m**2 - 88. Calculate q(-4).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16814 (base 11) in base 9?\nAnswer: -35343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 106ab94 (base 12) to base 9\nAnswer: 5788624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmcmmcc. Give prob of sequence mc.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 364, 700, 1036, 1372, 1708, 2044?\n\"Answer: 336*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 15*a**2 + 15*a + 224. Calculate b(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4888, -19544, -43968, -78160, -122120?\nAnswer: -175848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 9:05 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1345121*n - 75315001 with respect to n.\nAnswer: 1345121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5670 and 3780?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -l - 1. Let h(k) = -93*k + 1. Is h(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 17*a + 91. Calculate the remainder when 24 is divided by k(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/15866 and 67\/6.\nAnswer: 47598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5 = -3*x - 2*x + 5*w - 9 - 5, 0 = -2*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h**2 + h**4)*(4141 + 3723 + 2780 - 1358).\nAnswer: 9286*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20226411.\nAnswer: 3, 2247379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*x + 21 = 0, r + 15 = -x - 12. Let v = 73 + r. Suppose 9*i = v + 25. Solve 0*o + i = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z**2 - 21. Let v(p) = -p**2 - p - 1. Let b(r) = -m(r) + 2*v(r). Let d be b(-9). Does 25 divide d\/(-14) - 6\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 x when three letters picked without replacement from uupxuuxxlpupx?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102634*o**4 + 2*o**2 + 103*o - 473 wrt o.\nAnswer: 2463216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3327480 is divided by 506?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5425 - 5159. Does 38 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -346*g + 366*g + 560 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -0.5, -11, 0 in ascending order.\nAnswer: -11, -0.5, 0, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/(s*s\/s**(-7)*s*s))\/s))\/s)\/s*s**(-22\/9))\/(s\/(s\/s**17))**(-3\/10) assuming s is positive.\nAnswer: s**(1139\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f. Let b = -8 + 11. Let o(r) = -r - b*r - r. Determine x(o(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 20. List the prime factors of 171\/b - 2\/10*1.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2731 = -b - 4*a + 2146, -3*a + 19625 = 4*b. Does 54 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 98\/280 + (-8)\/5. Which is the third smallest value? (a) 6\/5 (b) 9\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2763468 + 4*d + 2763468 - 4*d + d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35076*f + 7693 = -70417*f + 35184*f for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 11687200.\nAnswer: 105184800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = r + 4 + 6, -5*r = 2*b + 90. Let h = r + 23. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35296 divided by 4\nAnswer: -8824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**8\/1176 - 36*c**7\/245 - 583*c**6\/84 + 18*c**5\/35 + 243*c**4\/7 + 1082*c**2. Solve n(a) = 0 for a.\nAnswer: -54, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8913, 2\/13, -4.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 2*a**2 + 2*a - 11. Calculate q(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 3 - 34*q + 4 - 1 to the form m*q + u and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d7c (base 16) in base 13?\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*l + 4. Suppose 16 = -l*k, -z - 2*z + 2*k + 8 = 0. Solve z = 2*y - 1 - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -2\/3, 6.56, -27, -2\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87471.821 + -87330. Let p = -191.8281 + t. Let h = 50 + p. Round h to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 11:03 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w + 16. Let k be b(-4). Calculate the highest common factor of k and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 54741 (c) 0.1 (d) 0.2 (e) -17 (f) 4 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0\/(-7) + -4)\/(8\/(-6)). Suppose 4*b = -g*c + 637 + 766, -b + 5 = 0. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5*q. Suppose q*i = -2*i + 14. Let d = i - 2. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 189*b - 199. Calculate a(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*k, 0 = -f + 5*f - 4*k. Suppose 0*y + 3*y + 6 = f. What is the units digit of 1*116\/(-8)*y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 1219836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2491*g + 11779*g + 3649 - 3649 as r*g + f and give r.\nAnswer: 9288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 23 + (-21 - -9 - -16)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 12. Suppose 2*f + u = 12, 3*f - 7*u + 3*u = 40. Let w be f\/(-32) - (-21)\/52. Which is the biggest value? (a) w (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 18.5. Let v = -0.03 - 0.97. Let q = 5\/7 - 13\/28. Which is the closest to v? (a) -1 (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 1 + 1)*(-175 - 11 - 34 - 18).\nAnswer: -476*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/2, 2\/5, -4\/5, 1\/6, -2, 147\/13, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/2 - 43*b**4 - 244*b**3 - 317*b**2 + 489*b\/2 + 360 = 0. Calculate b.\nAnswer: -80, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5183, 5197, 5211, 5225, 5239?\n\"Answer: 14*c + 5169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-51)\/(-16)*-1*12\/9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1346 + 5?\nAnswer: -1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131120103 - 1010?\nAnswer: -131121113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13209059 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -1\/2, 2\/3, 0, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19977, -19991, -20013, -20043, -20081, -20127, -20181?\nAnswer: -20243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -736427, -2945878, -6628349, -11783840?\n\"Answer: -736510*q**2 + 79*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*v**4 + 2*v**3 + 3586*v**2 - 17054 wrt v.\nAnswer: -16*v**3 + 6*v**2 + 7172*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*t - 14*t - 228 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/101800 and -63\/262.\nAnswer: 13335800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 1*(sqrt(1088) - (sqrt(1088) + 2)) + (-2 + sqrt(1088) + sqrt(1088))*1)**2 + -4.\nAnswer: -192*sqrt(17) + 9804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354406517?\nAnswer: 23, 15408979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -5. Differentiate 3 + q*d - 1 - 4 + 0*d wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2\/11 - 1440154*p\/11 - 2880300\/11 = 0. What is p?\nAnswer: -720075, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871 is divided by 132.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5291 and -84.5300177.\nAnswer: 5206.4699823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.059+14203141.41\nAnswer: 14203141.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6388*z**2 - 11794*z - 6. Let l(b) = -6387*b**2 + 11745*b + 8. Let h(f) = 3*l(f) + 4*s(f). Find the second derivative of h(d) wrt d.\nAnswer: 12782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/139106 and 127\/12.\nAnswer: 834636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/k**(3\/4))\/((k\/(k*k**(6\/11)))\/k*k))**(1\/18))**(-10\/9) assuming k is positive.\nAnswer: k**(-205\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 - w**5 - 2*w**5 + (7*w - 2*w - 7*w)*((-3 + 2 - 2)*(-w - 2*w**2 + w) - 281 + 281 + 18*w**2)*(0*w**2 + w**2 + 0*w**2).\nAnswer: -49*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 - -84. Suppose 0 = -3*p + r + 9, 2*r = -p - 3*r - a. Solve v + p = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/24 and -62\/281025.\nAnswer: 2248200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - n + 1. Let m(g) = 4*g**3 + 8*g**2 - 8*g + 6. Give m(l) - 6*y(l).\nAnswer: -2*l**3 + 8*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 63*q - 42. What is the remainder when 119 is divided by m(-64)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/3585 and -25\/12?\nAnswer: 14340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3 + 236*x**2 + 1304*x - 1536.\nAnswer: -4*(x - 64)*(x - 1)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.476 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 + 0*a**2 + 3*a**2)*(163 - 56 + 149)*(-1 - 1 + 4)*(2 + 5 - 4 + 4).\nAnswer: -3584*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-252)\/16 - 3\/(-4))*(42 - 45). Solve -q = 20*n - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 148696, 4\/9, 0.5 in descending order.\nAnswer: 148696, 0.5, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.15 + 62.95. Let t = -54.12 + f. Which is bigger: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 14. Let a(h) = -h**3 - 3*h**2 - 7. Let k(p) = -2*p**3 - 5*p**2 - 13. Let u(s) = f*a(s) - 3*k(s). Find the first derivative of u(l) wrt l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(3\/(-2))\/((-30)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**7\/840 + q**6\/120 + q**5\/80 - 3*q**4\/16 + 21*q**2\/2 - 68. Let w(r) be the second derivative of t(r). Factor w(p).\nAnswer: -p*(p - 3)**2*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 108*h**2 - 168*h - 6514. Determine c(-107).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 25*x - 28*x - 5, 5*h - 44 = -3*x. Calculate the least common multiple of h and 263.\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {x: 2, l: 9, z: 7}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 8*h**2 - 13*h - 75. Give z(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h + 4*y - 25, -49*y = -50*y + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 0*v**2 + 6*v**2 + 7*v**2 - 4*v**2.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 - 15. Let f = o - 120.9. Let v = f + 10.9. Which is the second biggest value? (a) -3 (b) v (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = -22*w - 10*w + 73905. List the prime factors of w.\nAnswer: 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -14. Let b = -18 + 18. List the prime factors of (-19)\/(r + (b\/(-1) - 1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000043739 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70 + 13. Let o = -34 - v. Calculate the remainder when 87 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11203837023 - 8.7?\nAnswer: 11203837014.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 10*u + 1806 + 546. Solve u*k = 779*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15951 divided by -5317\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/28*(-1 - -1 - -1). Let z(f) = -f**3 + 5*f**2 - 4*f + 6. Calculate the smallest common multiple of (-12)\/(h*15\/130) and z(4).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -5.7. Let m = -26\/943 - -1885213\/5658. Let v = 334 - m. Which is the closest to v? (a) -4 (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 14*p + 24. What is the tens digit of m(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -682\/7201 + -4\/379. Let s = 0.82 - -4.18. What is the nearest to 0.8 in 1\/4, b, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 6960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -2.6, -0.07, 1\/4, -2\/15?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -22177*p**3 - 6*p**2 + 11*p + 13. Is 13 a factor of u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.5 (b) -1\/8 (c) 1\/3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 14*h + 21. Let o(k) = 40*k + 64. Let m(v) = -17*c(v) + 6*o(v). Determine m(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*c*h**3 - 2*c*h + 176*c - 21*h**3 wrt h.\nAnswer: -15*c*h**2 - 2*c - 63*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0, 301, -45, 2.\nAnswer: -45, -4, -3, 0, 2, 301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/68*15\/6*(-170)\/(-25). Determine j so that 0 - 3\/2*j**4 - m*j + 45\/2*j**2 - 9*j**3 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 6:54 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 2*x - 2. Suppose -85 = -0*h - 17*h. Suppose -h*q = 266 - 396. What is the smallest common multiple of q and u(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 19?\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*x - 32, -k + 31 - 9 = 3*x. Suppose 2*q - q - 3*v = 18, -4*q + v + 28 = 0. Suppose 0 = y - 4*y + q. Solve 0 = y*w - x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 9*v + 9. Let y(q) = -q + 1. Let b(k) = 4*s(k) - 36*y(k). Let g(r) be the third derivative of -r**5\/4 + 2*r**2. What is g(b(c))?\nAnswer: -240*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3122960 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2045*f + 2250 - 70*f**2 - 33*f**2 - 9277*f**3 + 9282*f**3 - 107*f**2.\nAnswer: 5*(f - 50)*(f - 1)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + 0.04. Suppose 4*a - a = 3. What is the nearest to s in a, -1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -164 and 13.2.\nAnswer: -2164.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 36*m**2 - 33*m + 38. Let p be x(35). Is (-63)\/(-42) + p\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t = -29*t + 10. Let k be 1\/1 + 4 + -1. Suppose -2*m - 74 = -4*n, 5 = -n - k*m + 19. What is the remainder when n is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 30*m - 2*m**3 + 20 + 10 - 18*m**2 + 3 = 0. Calculate m.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 + 21*k**2 - 3*k - 21 = 0. Calculate k.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -421*k*p**2 - 3*p**2 - 268*p with respect to k.\nAnswer: -421*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*u = 20, -d - u + 6*u + 16 = 0. Which is greater: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 11:40 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/229080 and -65\/1992.\nAnswer: 229080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 398, 5\/9, -5, 42 in decreasing order.\nAnswer: 398, 42, 5\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 11089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 19*r**2 - 8*r**2 - 697*r + 409*r.\nAnswer: 11*r**2 - 288*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Let m = 0 - c. Let n be ((-6)\/(-9))\/(22\/(54 - 10)). What is the nearest to -0.4 in 0.1, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 10 = 4*y, -2*a + 30 = 4*y + 8. Let i(b) = 3*b**2 - 5*b + 2. Let c(n) = -4*n**2 + 6*n - 3. What is y*c(q) + 5*i(q)?\nAnswer: -q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.674489 less than 1?\nAnswer: -112.674489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 + 6*d + 11. Suppose -13 = 7*y + 15. What is the tens digit of u(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 939*a**2. Let w(y) = -331771*y. Give d(w(x)).\nAnswer: 103357604658099*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -917578*x**4\/7 - 4587720*x**3\/7 - 7339774*x**2\/7 - 524136*x + 680\/7 = 0.\nAnswer: -2, -1, 85\/458789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 2860?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2803?\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31697 is divided by 4123.\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**5 - z**5 - 3*z**5 + 15*z**5 - 2*z**5 - 8*z**5 + (-z + z + 2*z**4)*(z - 2*z + 3*z).\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 11. Suppose 0 = -2*i - 9 - h. Let t = -2 - i. What is the remainder when 14 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-1)\/(-6)*26\/(-182).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l + i + 27 = 0, 3*i - 3 = l. Solve l*r = 3*r - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5846591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*x - 144, -9 = 4*x + 2*f - 175. Calculate the least common multiple of x and 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -95374 - -43a?\nAnswer: -94a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65095887?\nAnswer: 3, 3137, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.29 - -4.71. Put 0, 2, o, 0.5 in descending order.\nAnswer: o, 2, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-6))\/(2\/(-6)). Let f(t) be the first derivative of t**3\/3 - 3*t**2 + 15*t + 1333. What is the tens digit of f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 477 + -274. Suppose -5*c + d = -202. Does 2 divide 225\/c + 4\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -936, 430, 32, 5 in descending order.\nAnswer: 430, 32, 5, -936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 288179943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 - (-3 + 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 - 10*i + 5. Let a be z(3). Which is smaller: -57 or a?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/10*(-162)\/108.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 31*q**3 + 22*q**3 + (q**2 - 2*q**2 + 5*q**2)*(5*q - 4*q + 0*q).\nAnswer: 57*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - u = -4*u + 56, z - u - 40 = 0. What is the remainder when z is divided by 19 + -3 - -2 - 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*z, 17*z - 12*z - 45 = 5*h. Let m be ((-2 - -9) + h)\/1. Let l(f) = -9*f + 6. Let s(o) = -17*o + 11. Let v(x) = 11*l(x) - 6*s(x). Give v(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484239241?\nAnswer: 71, 137, 49783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*a + 4284 = 65*a + 124*a + 115*a for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/4620*2567 - 10. Is -1 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 50. Let w = 19 - 19. Let y be n(w). Calculate the greatest common factor of 25 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56 and 0.029.\nAnswer: -55.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24882 divided by 16.\nAnswer: 12441\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 227908 and 6526?\nAnswer: 2962804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 50*n**3 + 57*n**2 + 3*n + 2. Determine a(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -676425*0.2.\nAnswer: -135285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.94183 millimeters in kilometers?\nAnswer: 0.00009794183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -39*b**3 + 51*b**2 - 12*b = 0?\nAnswer: 0, 4\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - ((3 - (18 + -20)) + -12).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 - -38. Calculate the common denominator of 1017\/(-42) + (-2)\/7 and (-12)\/36 + s\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1213052 (base 8) to base 13\nAnswer: b8968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 + -120. Let x be m\/48*-6834 - (-1)\/(-8). Let r(j) = 214*j + 219*j - x*j - 3. Let a(y) = -y + 1. What is 4*a(v) + r(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*m + 12. What is the third derivative of -6*b**m + 6*b**6 - 4*b**6 + 6*b**2 wrt b?\nAnswer: -480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66299689147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*h**4 - 4*h**3 - 4*h**2 - 7393 wrt h?\nAnswer: -28*h**3 - 12*h**2 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = 3*w - 0*w - j, 4*w + j = 545. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19 - 13 - (0 + -699). Factor -3*o**3 - 348 - 357 + a - 3*o**4.\nAnswer: -3*o**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -897082 * 5\nAnswer: -4485410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20+-44\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3)\/((164\/28 - 6) + (-141828)\/(-993678))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175 a factor of 5828467125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvuy when four letters picked without replacement from {u: 5, x: 1, v: 1, a: 3, t: 4, y: 4}.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 22) + (82 - (6 - -139)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 246644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -600 in -3\/4, 0.15, 1\/5, 2\/9, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/20 - 182\/(-104). Let c = 4 + -4.4. Is a equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47+-20071\nAnswer: -20024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -6, 13.\nAnswer: -6, -1, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/2471?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -330 - -203211?\nAnswer: 202661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166834, 166848, 166872, 166912, 166974, 167064, 167188?\nAnswer: 167352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/2, 1, 2\/3, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7 + 23 + 50*n**5 + 2*n**2 + 14 wrt n?\nAnswer: 3000*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*w - 36*w + 20*w + 14 + w + 2 - 2 + (3 - 4 + 2)*(0*w + 2*w - w).\nAnswer: w + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -33*j - 27. Let r(q) = -6*q**2 + 2*q + 4. Let d be r(2). What is the hundreds digit of u(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 11*y**2 + 12*y + 16. Determine i(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 706958.9 millennia?\nAnswer: 8483506800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**5\/24 - 41*k**3\/6 - 32*k**2 + 2. Let r(w) be the first derivative of g(w). Let a(q) = -13*q. Give a(r(z)).\nAnswer: 65*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 93421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1442592, 2885162, 4327702, 5770206, 7212668, 8655082?\n\"Answer: -b**3 - 9*b**2 + 1442604*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.33 + -0.73. Let t = 15 + -18. Let u be (-1)\/14 + (-1)\/(-2). Which is the third biggest value? (a) u (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 961641189.\nAnswer: 3, 29, 599, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122 - 118. What is the second derivative of 25*o - i*o + 5 - 214*o**2 - 3 wrt o?\nAnswer: -428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 3383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/154 + (1296\/(-189))\/48?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 219 + -392. Suppose o + 5*d + 18 + 313 = 0, 0 = -d + 5. Let g = z - o. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-624)\/234)\/(28\/6)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -594 divided by 5\nAnswer: -594\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80\/3*o - 52\/3 - 1\/3*o**3 - 29\/3*o**2 = 0 for o.\nAnswer: -26, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3, 19\/14, 1, 3\/4?\nAnswer: 19\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*k - 6, -4*r + 11 = 5*k - 2. Solve b + 1 = r*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42505 (base 6) to base 14.\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**3 + u**3 + 3*u**3)*(-25*u**2 + 17*u**2 - 23*u**2).\nAnswer: -62*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 78*o + 15. Let f(k) = k + 1. What is -15*f(b) + x(b)?\nAnswer: 63*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 108550 (base 9) in base 16?\nAnswer: ff33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 5*h**2 - 7*h - 3. Let l = 43 - 31. Let n(g) = -g**2 + 10*g + 17. Let s be n(l). Let q = s + 1. Calculate i(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, 179704, 4, 2\/3, -5, -4\/5, 1?\nAnswer: 179704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 77 = 17. Suppose -155 = -q*j - p, -4*p + 83 = 4*j - 25. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7. Solve -3*q = m - y*q - 4, m = 2*q - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850008 is divided by 1291?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8bb + 3102?\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2161 + -2160.81. Do q and -0.04 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(15\/8))\/((-14)\/(-35)). Suppose -z*d = -20, -d + 5 = 3*m - 0*d. Solve -5*a - 20 + 0 = m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, f: 2, h: 2}. What is prob of picking 1 f and 1 h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85.75 - -136. Let b = -1.25 - v. Let s = -51 - b. Round s to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*829151\nAnswer: 1658302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -11. Calculate the least common multiple of c and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2755652 divided by 24.\nAnswer: 688913\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -8*g - 25. Let f(w) = w**3 + 6*w**2 + 3*w - 5. Let y be f(g). Let t be 192\/20 + 2\/y. Solve -31 = 5*l - 3*u + 6*u, 5*u = 4*l + t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-14))\/((-25650)\/4788)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -17, -8\/7, -1\/137, 2, 0.5, -0.1?\nAnswer: -1\/137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103\/194 - 316275\/1358. Let m = q + 234. Which is the smallest value? (a) 1\/5 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 7. Suppose r*a - 32 = -5*f, 0*f - 11 = -f + 4*a. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -546831903 plus -47?\nAnswer: -546831950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -121201200 (base 3) in base 6?\nAnswer: -132243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -524963 by 268.\nAnswer: -524963\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 7*o + 14. Let z = -49 - -45. Let j be n(z). Suppose 3*d + 0*d - 27 = -3*w, w = j*d. Solve x - w*x - 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1021 + -9161\/9. Let h = -8 + 11. Which is the second smallest value? (a) -0.3 (b) h (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 7*z**3 - 34*z**2 + 44*z - 7. Calculate the remainder when 44 is divided by v(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3697060?\nAnswer: 2, 5, 31, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -7. Let g(q) = -2*q - 5. Let y be g(-4). Let j = -2 + y. Solve m*b - 5 + j = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 211\/56 + -2327\/168. Let t = 843713\/44 + -19174. Calculate the common denominator of b and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14257.76l to millilitres.\nAnswer: 14257760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -239, -254, -273?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-76)\/13 + (-2 - (-96)\/52). Let t be 2*3*g*5\/(-630). Suppose -2*x + 2 + 1 = -3*r, 2*x - 8 = -2*r. Which is the biggest value? (a) -2\/17 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Suppose 0 = -2*o - n + 239997, -5*n - 7 - 8 = y. What is o rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 8:16 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12204 and 4790522.\nAnswer: 258688188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005937 to 5 dps.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/10 - -116*9\/(-180). Let f(j) be the first derivative of j**4\/4 + 7*j**3\/3 + 9*j**2\/2 + 8*j - 31. What is f(p)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 14. Let l(p) = -12*p**3 - 9*p - 9. Let f(c) = 6*c + 0*c**3 - 8*c - 3*c**3 - 2. Calculate t*l(u) + 9*f(u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(11\/3))**(-2\/11) assuming x is positive.\nAnswer: x**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 2ab?\nAnswer: 2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28926057, 115704251, 260334573, 462817023, 723151601, 1041338307, 1417377141?\nAnswer: 1851268103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 130, 381, 844, 1585, 2670, 4165, 6136?\nAnswer: 8649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*b + 0*b = -504, 0 = -2*b + 2. Suppose 0*x + 68 = x - 3*p, 2*x = -5*p + c. List the prime factors of x.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 8*y**2 + 6*y + 9. Let p = -3 + -4. Let t be d(p). Is (-3162)\/(-8) - 4\/t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335.79 times -0.097?\nAnswer: 32.57163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**5 + 21*x**4 + 51*x**3 + 27*x**2.\nAnswer: -3*x**2*(x - 9)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owsqwsswqqsqlwqkw. What is prob of picking 1 w, 1 q, and 1 s?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14924 - -21132. List the prime factors of t.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339901.\nAnswer: 151, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 127) + (-7 - -15)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 9*b - 3. Suppose -2 = -3*t + 4877*w - 4878*w, 4*t - 4 = -2*w. Determine d(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 909856991*r**5 + 136*r**2 + 530505*r wrt r?\nAnswer: 54591419460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {x: 1, n: 2, w: 1, m: 2, k: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.03854 kilograms in milligrams?\nAnswer: 65038540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 47. Let y = -68 - u. Let s be (-1157176)\/y + (-5 + 1)*1. What is s rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 2*d + 1. Let v be u(-1). Suppose 2*f + o - 194 = 2*o, v = 4*f - o - 388. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15636 - 114*o**3 - 15636.\nAnswer: -114*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1033928918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-154)\/35)\/((-52)\/455) and -101\/770?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -8*k**5\/5 - k**4\/4 + 4*k**3\/3 - k**2\/2 - 41. What is the third derivative of u(w) wrt w?\nAnswer: -192*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8747, 2\/3, -3458 in decreasing order.\nAnswer: 8747, 2\/3, -3458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f - 3. Let w be b(3). Suppose 5*q - 38 = 137. Let c = q + w. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -140\/3 + 47. Let m = 0.10968 - 0.30968. What is the closest to m in -4, a, -5\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z**3 - 54*z**2 - 28*z + 5. Let g be t(14). Solve 0 = 3*u + 88*o - 86*o + 6, 3*u + 6 = -g*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 269955 and 12?\nAnswer: 1079820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1397 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5835 + 5836. What is the third smallest value in f, 0.3, 3\/7, 610?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519511712?\nAnswer: 2, 233, 69677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14725 is divided by 199?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 3*h + 7. Let q be x(2). Find a such that -785*a + 757*a - 41*a**3 + 60*a**2 + q*a**3 + 4*a**4 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(612) - (-1 + sqrt(612) + -1 + sqrt(612)) - (-3 + 2 + sqrt(612)))*-2)**2*3.\nAnswer: -3456*sqrt(17) + 117936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 146 (b) 1\/10 (c) 0 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17565 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-84)*-29)\/(8\/96).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 0.4, 0.3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4121*p**4 - 2*p**3 + 127*p**2 + 198751*p wrt p.\nAnswer: -49452*p**2 - 12*p + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3 and (-4)\/(-2) - (-28)\/(-54)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -138\/31, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -11 + l**2 + l + 1 + 11 + 5*l. Suppose -k - 9 = -0. Let w = k + 6. Give n(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 3)*(-11*i - 68*i - 2 + 3).\nAnswer: -553*i + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.30331 - 68\nAnswer: -68.30331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q. Let d be l(16). Is 129 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12408\/145 and -87 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 433*f - 1609*f + 0 + 527*f + 519*f.\nAnswer: -130*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(78\/(-4)) - 320\/728. Which is the second biggest value? (a) -1 (b) 2 (c) 3\/2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.915486 microseconds?\nAnswer: 6915.486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r**2 - 6. Determine j(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2734*l + 1697809. Determine p(-621).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1857732332 to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294 is divided by 109.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26150 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-12) - 2\/2. Let g be (-2)\/(-6) - (-2)\/(-15). Let w(h) = h - 2. Let q be w(-2). Which is the second biggest value? (a) q (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + (-17)\/2)*(-42)\/15. Suppose k*t = -1338 + 6427. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -490, 4\/5 in decreasing order.\nAnswer: 5, 2, 4\/5, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 210437 - 73120 = -84969. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2317076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -14*m + 10. Let j(q) = -13*q + 8. Calculate 3*j(b) - 2*v(b).\nAnswer: -11*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -594227*-11.17\nAnswer: 6637515.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -152?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1468552, 1468593, 1468622, 1468633, 1468620, 1468577, 1468498, 1468377?\n\"Answer: -b**3 + 48*b + 1468505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 11509*x**4\/12 - 87*x**3 + 2*x**2 + 15080*x. Find the second derivative of n(h) wrt h.\nAnswer: 23018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 19*d - 29532 = 0. Let j = d + 2511. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2)*(2*q + q - 2*q) - 4*q + 44 - 44)*(-4*q**4 - q**2 + 3*q**2 + 3*q**4).\nAnswer: 2*q**5 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrr. Give prob of sequence rrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1, 2, 14, -5.074 in decreasing order.\nAnswer: 32, 14, 2, -1, -5.074","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 5, -6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r + 114 = -50*r. Calculate the remainder when r is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Let u be (-9)\/4*(w - -1). List the prime factors of (-101)\/u - 4\/18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 3 = -0*z - i, 2*z - 14 = -2*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**5 + 94*t**3 + 50*t**2.\nAnswer: 120*t**2 + 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - ((sqrt(66)*-4)\/sqrt(6))**2) + sqrt(99)\/sqrt(9) + sqrt(11) + -5.\nAnswer: -181 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/10639651 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13591765\/(-3646734) - (-52)\/14?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 26*a**2 + 44*a - 54. Let w be v(-24). Calculate the highest common divisor of 126 and w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*t + 10, 0 = t + t + 4*y - 8. Let g(o) = 13*o - 171. Let d be g(13). Which is the nearest to d? (a) 0.03 (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/90 and -3 - ((-322)\/504 + 6\/8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 10985?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2 - 2*d. Let j(g) = -75*g**2 - 726*g + 763. Let p(u) = -5*j(u) - 95*m(u). Suppose p(y) = 0. What is y?\nAnswer: 1, 763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 31\/2*v**2 - 22*v + 0*v**4 + 17\/10*v**5 + 0*v**3 + 0. Differentiate t(y) wrt y.\nAnswer: 102*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -6538b?\nAnswer: -65387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 75811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 25*o - 115*o + 0 + 29.\nAnswer: -90*o + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(f**2 + 0*f**2 + 3*f**3 - 4*f**3 + (f + 3*f - 2*f)*(-f + f - f)*(-7030*f + 4909*f - 5626*f)).\nAnswer: -15493*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h**2 - 321*h + 557. Let y(q) = 2*q**2 - 64*q + 112. Let o(p) = -2*v(p) + 11*y(p). Let k be o(2). Let 15\/2 - k*r + 5\/2*r**2 = 0. What is r?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17199 + -17180.374. Let v = 1873.474 - 1873. Let r = a + v. Round r to 0 dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34534960 divided by 750760?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10218.1 take away -9701?\nAnswer: 19919.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -470*t**3 - 2*t**2 - t. Let p be k(-1). Suppose 0 = u - 2*u + p. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 332983*c**3*o + 112*c + 335947546*o wrt c?\nAnswer: 998949*c**2*o + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -222 + 234. Suppose c*q - 368 - 28 = 0. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = 506140*x - 506142*x + 4*q, -x - 4*q + 17 = 0 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/15*(-8)\/(-504))\/((-6)\/14)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s - 8260 = 10*s. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 1:18 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280 and 3472.\nAnswer: 17360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396021?\nAnswer: 3, 101, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((96\/(-168))\/4)\/(7\/(28\/4))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -23*c**3 - 13*c - 13. Let m be a(-1). Solve 4*q + 0*i = 3*i, q = -5*i - m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/10 + (-38)\/(-10). Suppose -9 = 2*c - 13. Factor 7*h**3 - 3 + y*h**3 + 4 + h - h**c - 12*h**3.\nAnswer: -(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.17 - -3.3. Let j = y + -0.53. Put 5, j, -5 in descending order.\nAnswer: 5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92\/5 - 4\/5*f**2 - 96\/5*f.\nAnswer: -4*(f + 1)*(f + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, -4, -2, 152 in ascending order.\nAnswer: -12, -4, -2, 3, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 4 - 4) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308460 is divided by 50814.\nAnswer: 3576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8512 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:04 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39)\/104 + (-3)\/(48\/(-59062)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10*(-50)\/(-4). Let d be (-2 - (-2 + 5))*4\/k. Solve 4*t - 20 = 0, 7 = -4*g - t - d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4150300 and 128744.\nAnswer: 157711400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v + 42. Let r(g) = g - 18. Let p(z) = -14*r(z) - 6*x(z). Let c(l) = -2*l + 2. Calculate c(p(h)).\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11941 - 12647. Which is smaller: i or -711?\nAnswer: -711","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Suppose -2*t + 2*c = 2, 5*t + w = -0*c + 3*c. Suppose -5*o + 4*o + 4 = t. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 416 - 79. Suppose h*m = 102*m - 9. Solve -2*d - k + 11 = 0, 0 = -4*d + 3*k + 4 + m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 * -327.9\nAnswer: -49.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m - 4. Let l(i) = -1 - 3 + 0*i - 1 + 4*i. Determine 5*l(p) - 6*n(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210 and 495.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2640, -10595, -23852, -42411, -66272?\n\"Answer: -2651*y**2 - 2*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1034 is divided by 104?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 q when two letters picked without replacement from {z: 3, o: 2, r: 1, w: 1, b: 3, q: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -97*c + 241 + 50. Solve -6*f - c + 27 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136583?\nAnswer: 73, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -67227116.21 rounded to the nearest 10000?\nAnswer: -67230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0625 and 510?\nAnswer: 509.9375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7116924 months in years?\nAnswer: 0.0593077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/25, 0.3 in decreasing order.\nAnswer: 0.3, 1\/25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7074 divided by 6.\nAnswer: -1179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/2453503 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*q + 4*c**2 - 2*c*q + 13*c - 20002*q wrt c.\nAnswer: 2*c*q + 8*c - 2*q + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27760454, -55520914, -83281370, -111041822, -138802270?\nAnswer: -166562714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) - (-150)\/35. What is the derivative of v + 1 - 1 + 3*c - 3 wrt c?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a milligram in micrograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**3\/3 + 3*p**2\/2 - 19*p - 3. What is the derivative of q(c) wrt c?\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 294192 and 336?\nAnswer: 2059344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368532 is divided by 184261.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 + -139. Let a = 13 + f. Let o = 54.5 + -54. What is the biggest value in 2, o, 0, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1916.7 from -3368.874.\nAnswer: -1452.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121.38 + 119.58. Put -0.3, w, -5 in descending order.\nAnswer: -0.3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*a + 16, -a - m - 1 + 8 = 0. Let x(s) = -19*s**2 - s**3 + 1 + 13*s**2 - s + 0*s**a. What is x(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43595 - -43594.99903448. Round o to six decimal places.\nAnswer: -0.000966","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -80 (c) -0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.556 - -0.656. Which is the closest to -3? (a) i (b) 0.5 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -29. Suppose -8*n + 3*n + 20 = j. Suppose -6*w + 7*w = -4*t - 4, -w + 2 = t. Solve w = 2*s - n for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16077850 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 q, and 1 k when three letters picked without replacement from {m: 1, q: 2, k: 2, s: 2, w: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 349 - 41 = -3*w, 3*a - 4*w = 176. Suppose 33 + a = c. Suppose -29 = -7*p + c. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 197, 207, 221, 239, 261, 287?\n\"Answer: 2*a**2 + 4*a + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 2*c + 3. Let u be l(-1). Suppose 0 = -u*a - 11 + 53. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 197 - -309. Let s be y\/7 - (-22)\/(-77). Suppose -j - 4*n = -3, 4*j + n = -3*n + s. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 - 4*p**3)*((-5 + 3 + 1)*(3*p**2 - 4*p**2 - 2*p**2) - p**2 + 2*p - 2*p).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 66323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6524)\/10 + 2\/5. Let t = s + 317. Let b be t\/(-10) + 1\/(-2). Solve -4*p = 20, -y + b = -3*y - 5*p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100110 (base 2) to base 9\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/2, 0.4, 264, 36 in ascending order.\nAnswer: 0.4, 1\/2, 2, 36, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-1)\/50*-2). Calculate the common denominator of (x\/10)\/((-12)\/10) and (-106)\/(-36) - (1 + -3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -49*d**6\/40 - 11*d**5\/4 - 3*d**4\/4 + 128*d**2. Factor b(k).\nAnswer: -3*k*(k + 1)*(49*k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) 8 (b) -0.371 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1111*u. Let x(z) = -7089*z. What is a(x(m))?\nAnswer: -7875879*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4180 - 1732. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 163782 and 6332904.\nAnswer: 18998712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m - 1, -15 = -5*v - 5*m. Let g be 7 + -1 - (2 - v). Suppose 2*l - 5*k - 19 = 0, -2*k + 28 + 48 = 3*l. Solve -l + 2 = g*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9812007 micrograms?\nAnswer: 0.0000009812007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.72259 nanograms to tonnes.\nAnswer: 0.00000000000005472259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - j + 1. Let x(r) = r**3 - r + 8. Let i(a) = a - 9. Let w be i(5). Let c(f) = w*b(f) + x(f). Suppose 2*m + 1 = -7. Determine c(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -1\/7, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/864524 and 95\/1822.\nAnswer: 787581364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*a = 4, -3*i - 20 = 5*a - 15. Solve -1 - 17 = 3*q + 3*n, -q + 3*n + 2 = i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyyywwy. Give prob of picking 1 w and 3 y.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f + 30 = 0. Let k = 16 - f. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 2 - (-10 - 8 - -13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314100643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 22*i**3\/3 - 7*i**2\/2 + 16*i - 8. Let x(d) = 11*d**2 - 3*d + 8. Let l(c) = -3*b(c) + 7*x(c). Differentiate l(p) wrt p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297451360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*l - l - 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-5\/4)*r\/(r*r\/(r\/((r*(r**10\/r)\/r)\/r)*r)) assuming r is positive.\nAnswer: r**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a - 7. Let w(p) = 6*p - 15. Let o(h) = -h**2 + 5*h - 5. Let f be o(5). Let l(s) = f*k(s) + 2*w(s). Find the first derivative of l(y) wrt y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6514 + z - 6514 as j*z + q and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - t - 5 = 5*r, t = -2*r - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + p**3 - 2*p**3 - 10*p - 2 + 12*p. Calculate z(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**5\/20 - r**4\/4 - r**2 - 2*r - 2. Let k(i) be the first derivative of c(i). Let v = -25 - -21. Calculate k(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -966 + 216 = 5*u + 4*g, 0 = 4*u + g + 611. Let k be (-4)\/10 - u\/10. Suppose -k = -5*o, -5*i - 2 = -o - 3*o. Sort -1, -5, i in descending order.\nAnswer: i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11243 and -0.15.\nAnswer: -1686.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0612 + -1.3912. Let h = l + 1.46. What is the closest to 1 in 3\/5, h, -0.2, -1\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1673*x - 12003 = 13092 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/7 and -93\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133416 divided by 5.\nAnswer: 133416\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 5:23 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.87 in 0.03, 0.3, 0, 4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 109*o**2 - 2605*o - 20. Calculate d(34).\nAnswer: -1890","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1562410 (base 11) to base 14\nAnswer: -4d6347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-1 - 6) + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 115*v**3 + 2*v**2 - 9*v - 2. Let d be t(3). Suppose 24*k - 5546 = d. Is 24 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -646 - 5?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112310230 + -1?\nAnswer: -112310231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -a29 (base 12) to base 11\nAnswer: -111a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -3 - (-9 - -20 - -6)) + 82\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3542*154.7.\nAnswer: -54.79474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g - 9. What is the smallest common multiple of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/145 (b) 0.7 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-2) - (-12 - -26). Let x = -10 - u. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from zvh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (22 - 9) + -31.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 393 + -392.89. Which is the second biggest value? (a) -0.4 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 3*t**2 - 25*t - 2*t**2.\nAnswer: -2*t**2 - 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13604, -27207, -40804, -54395, -67980?\n\"Answer: 3*w**2 - 13612*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 22530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 - 27. Let f(n) = -49*n**2. Let o(d) = 96*d**2. Let x(k) = -6*f(k) - 3*o(k). Give x(s(p)).\nAnswer: 54*p**4 + 972*p**2 + 4374","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 6 = 3*h. Let v be h\/(-9) - 65\/(-9). Let j be 4\/14 + 383\/v. Calculate the highest common factor of j and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00433 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2299) + 2)**2 - -1*(sqrt(2299) - (-2 + sqrt(2299))**2 - sqrt(2299)) - (-1*sqrt(2299)*2 - (-1 + sqrt(2299) + 2 + sqrt(2299))**2))*-5 + 5.\nAnswer: -57495 - 990*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 3*b + 10. Calculate k(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7936, -2944, 5372, 17012, 31976?\n\"Answer: 1662*f**2 + 6*f - 9604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -42*m + 749. Determine v(22).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6104675ml?\nAnswer: 0.0006104675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 11. Let w be r(-11). Let x(k) = k**2 + k + 8. What is the remainder when 14 is divided by x(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 52 + -3 + -1. Let r = o - -46. Suppose -2*x = -x - r. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407 (base 11) in base 8?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -i + 3. Let u = i - 100. Solve k = u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 38001, 2, -2, 5.\nAnswer: -26, -2, 2, 5, 38001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5503 is divided by 675.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 655471 = 47*t - 706448. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 - (164 + -25)) + (-6 - (-25 + (6 - -1)))\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/33? (a) 56 (b) -6\/13 (c) 1\/2 (d) 3\/8 (e) 5 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1815\/(-22506))\/(10\/4)\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397534014.\nAnswer: 2, 3, 7361741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-25)\/(-15) + -1). Suppose -a*m = -122 - 91. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2711.\nAnswer: 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.14, -2\/9, -2\/11.\nAnswer: -4, -2\/9, -2\/11, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:58 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - (-4 - -6)*2. Sort -1, 2, b in increasing order.\nAnswer: b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 6:17 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, -3\/5, -4\/35, 714, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**7\/840 - o**5\/40 + 5*o**4\/6 + 6*o. Let d(w) be the third derivative of h(w). Solve d(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/15*110\/33. Suppose -6 - 6 = -4*f. Which is the third biggest value? (a) d (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 2. Suppose -s*f = -0*f. Solve f = 2*v + 1 - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 0 - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4622222 (base 8) in base 5?\nAnswer: 310121141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 909023924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.12 - 0.28. Let y = p - -0.40121. What is y rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1199)\/327)\/(2\/6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088001?\nAnswer: 3, 120889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 + 0.7. Let q = 0.5 + c. What is the closest to q in -1\/3, 6, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36953.301 rounded to the nearest 100?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*u = 2*u - 107, -20 = -4*u. Let x be (12\/(-9))\/(-4) - 141\/(-9). Suppose -x*f + 112 = -14*f. What is the remainder when f is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/825 and -99\/10.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 19) + -5 + -5 + (-5 - -10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.0770783 millennia?\nAnswer: 0.770783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*m - 1 = 37, 0 = -2*k + 2*m + 24. Suppose -3*s + s = -k. Let n be ((-12)\/s)\/(-1) + -2. Which is bigger: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 2. Suppose 20 = 47*f - 43*f. Determine n(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15390\/379 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**6\/150 + 2*w**5\/25 - 11*w**4\/60 - 4*w**3\/15 + 6*w**2\/5 + 75*w + 3. Solve d(f) = 0.\nAnswer: -1, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 4:21 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2557 - 5?\nAnswer: 2552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 9*z**3 + 69*z**2 + 220*z. Let s(y) = -23*y**3 - 173*y**2 - 550*y. Let x(f) = -26*g(f) - 10*s(f). Factor x(d).\nAnswer: -4*d*(d + 5)*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2 - 13*j + 25. Let s be x(-31). Suppose -6*r + s = -788. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 5*x - 1. Let z be 3 - 1 - (-7 + 3). Determine b(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -863 - -863.3. What is the closest to 1 in 69, 2, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10668 - 10566. Solve 0 = 17*k + g - 17 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:59 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406 + 223 + 183 - 6*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 1\/4 (c) -1\/2 (d) -5 (e) 0.486 (f) 15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 15*x + 4. Let p(z) = 5*z**2 + 26*z - 8. Calculate -11*l(t) - 6*p(t).\nAnswer: 3*t**2 + 9*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 17*n - 104. What is i(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 2 - -2) + 17. Calculate the highest common divisor of 90 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + 54267028.\nAnswer: 54267027.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -7. Let t be -3*3\/(-9) - 0. What is the third smallest value in f, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, -2, 1, -879, -59, 11 in descending order.\nAnswer: 11, 1, -2, -3, -7, -59, -879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 1 - (-7 - 1). Suppose 4*b - 34 = q. Let g(s) = s**3 - 9*s**2 - 9*s - 6. Is 2 a factor of g(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 o, and 1 g when four letters picked without replacement from {v: 2, o: 5, g: 3, s: 7}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1796.51984 to zero dps.\nAnswer: 1797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 1385 and 545 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6216 by -123064.\nAnswer: 777\/15383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 12. Factor s**2 - 5*s**2 - 2*s**3 + 4*s**w.\nAnswer: 2*s**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1178467457 to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 51 = 3*p, 2*u + 3*p + 94 = 5*p. Let y = u + 66. What is the third derivative of 16*r**4 + 129*r - 129*r - y*r**2 wrt r?\nAnswer: 384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337438?\nAnswer: 2, 168719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1320, 10, -5, 169, -4, -2, -3 in decreasing order.\nAnswer: 1320, 169, 10, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1029996 by 27.\nAnswer: -38148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -76 + 79 + 0 + 16 + -3\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 7*w = 77. Let d be (w + 8)*(-2 + -1 + 1). Suppose 3 = 76*y - 77*y. Put d, -5, -1, y in decreasing order.\nAnswer: -1, d, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-11 - -18) - -35 - (17 + (-4 - 4))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.264057 nanograms to kilograms.\nAnswer: 0.000000000000264057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**4 - 150*k**3 - 45*k**2 + 1350*k = 0.\nAnswer: -3, 0, 3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4641425 and 670.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -134\/7 (b) -0.04 (c) 5486 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - n)*(-3*n + 2*n + 5*n)*(0*n + 2*n**3 + 0*n).\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiii. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 5}. Give prob of picking 2 r.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 6*d - 55. List the prime factors of (-4)\/(-3)*(d - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/11)\/b)**(3\/23)*b*b\/((b\/(b*b**9))\/b*b)*b*b**(-2\/11) assuming b is positive.\nAnswer: b**(2963\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (112\/(-40))\/(2275\/(-750))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 11:19 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 275845775 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 56*x**2 - 2099*x - 4. Let k(h) = 53*h**2 - 2084*h - 5. Let o(b) = 4*k(b) - 5*l(b). What is the second derivative of o(t) wrt t?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7331 a factor of 1391869639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 14*n = -350. Solve g + 3*m - n = -4*g, 0 = 4*m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c**3 + c**3 + c**3)*(2*c - 4 + 4) - 52*c**4 - 1283*c + 1283*c in the form z*c**4 + h*c**2 + v + w*c + q*c**3 and give z.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -2*s**3 - 7*s**2\/2 + 374. Let d(a) = 3*a**2. Calculate r(d(k)).\nAnswer: -54*k**4 - 21*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196292171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 15939\/26082*(-4)\/(-33)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -eca7 (base 16) to base 11.\nAnswer: -41576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 4. Suppose -p*t = -3*t - 158. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59 + 74. Suppose -s = -j + 24, 0 = 5*j + 16*s - 20*s - 115. Calculate the highest common divisor of j and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**5 - 31*k**4 - 64*k**3 - 46*k**2 - 4*k + 5 = 0?\nAnswer: -5, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -162*p + 2462. Let l = 38 + -25. Calculate the remainder when u(15) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -15*n - 2. Let u(a) = 1667*a - 809*a - 780*a. Calculate g(u(t)).\nAnswer: -1170*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**4 + 10*j**3 - 335*j**2 + 620*j - 300.\nAnswer: 5*(j - 6)*(j - 1)**2*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 6*m - 10. Let o be x(-5). Let s = -2 + 5. Let f(c) = 4*c**2 + 3 + 0*c**2 - s*c + 0*c + c**3. Calculate f(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5853612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-28))\/((-7)\/(42\/(-3)))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**2 + 0*h**2 - 13*h**6 - 12*h**2 wrt h.\nAnswer: -1560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2762 by -8399.\nAnswer: 2762\/8399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188298*k**3 - 53310 wrt k.\nAnswer: 564894*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9703, -17135, -24567, -31999, -39431, -46863?\n\"Answer: -7432*t - 2271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 10360 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4619529\/21670 - -11\/1970. Let q = t - 213. What is the third smallest value in -1, 0.69, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/1249, -3\/4, 64, -12 in descending order.\nAnswer: 64, 2\/1249, -3\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1053 and 7983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65*j + 5 - 3 + 84*j + (j + 1 - 1)*(-6 + 3 + 1) to h + q*j and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4502 and 17 - ((1 + 0)\/(1\/(-8)) - -3)?\nAnswer: 49522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -280799\/90 + 3120. Let p(c) be the third derivative of -1\/540*c**6 + 0*c - a*c**5 + 0 + 0*c**3 + 6*c**2 - 1\/54*c**4. Factor p(v).\nAnswer: -2*v*(v + 1)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**2 - 19*d + 9. Let v = 5489 - 5484. Calculate q(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4361 is divided by 608.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0 - (-2 + -3). Suppose 2*x = c*x - 12. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -726 divided by -3\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edxd when four letters picked without replacement from {d: 2, x: 4, e: 2, v: 4}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (63280 - (-3)\/(-1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 57\/2 of a tonne?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/60 - a**3\/3 - 11*a**2. Suppose 0 = 5*f - 3*k - 2, -2*k + 4 + 2 = 4*f. Let h = 1 - f. Calculate w(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2 + 14 = 0. Let f(i) = 1439*i**2 + 5*i - 4. Let v be f(u). Round v to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 5. Let n(p) be the first derivative of -p**2\/2 + 6*p + 2. Let u be n(3). What is the smallest value in u, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1077, -1299, -1681, -2223, -2925?\n\"Answer: -80*w**2 + 18*w - 1015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i = -9. Let l = -141.66 + 141.16. Which is the biggest value? (a) l (b) -4 (c) i (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71*-0.4\nAnswer: 28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 513815150 divided by 25?\nAnswer: 20552606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**4 - 9*q**3 - 521*q + 245*q + 257*q - 1 to v*q**3 + c*q**4 + i*q**2 + m*q + h and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 4.2, 1, 0.3, 5 in decreasing order.\nAnswer: 5, 4.2, 1, 0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 6*k + 2*k. Suppose 696 = 4*b - 2*v, b - 5*v - 183 - 9 = k. Let d = 246 - b. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 3, 89, -5, -29, -2, 2 in increasing order.\nAnswer: -29, -25, -5, -2, 2, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (61 - 2*j - 11*j**3 + 13*j**3 + 2*j**2 - 59)*(-29 - 65 + 15) to y*j**3 + n*j**2 + d + v*j and give n.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*q = 1, -3 = d + 2*d - q. Let k = 2487 + -24899\/10. What is the common denominator of 3*(d\/4 + (-7)\/140) and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13175 divided by 85?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1309, -2616, -3959, -5344, -6777, -8264, -9811?\nAnswer: -11424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 453354 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1827500 divided by -182750.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 185. Suppose 0*c - 3*c = 0. Is w(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -99\/4 bigger than -20088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -193\/4 - -48. What is the nearest to 2\/7 in a, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/1696*(-2)\/6*80\/(-60)?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1300 divided by 4.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -10410*z - 176953. Determine n(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmcmmmmm. Give prob of picking 2 m.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 84.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93011438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0 + (3 - 1 + 0)*(-1 + 3 - 4))*(312 + 178*c - 312).\nAnswer: -1068*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w - 5*w)*(12*w**2 + 204*w**2 + 175*w**2 + 39*w**2).\nAnswer: -1290*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 324 - 8. Let g = k + -315.9999964. What is g rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 2*m - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3514 and 100400?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 27. Suppose -s = 4*v - 2*v - 2, -4*v = 3*s + o. List the prime factors of 450\/4 - 4\/s.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138789*j**3 + 2*j**2 - 204396?\nAnswer: 832734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-19.34.\nAnswer: 13.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 41*u + 5452. Give x(-135).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1366499 and 3818.\nAnswer: 226838834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*y - 17 = 0, -5*b + 2 - 30 = 3*y. Let v be (-16)\/b - (-1)\/(-5). Solve v*u = -3 + 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.145 + -7.145. Let y(v) = v**2 - 4*v + 1. Let d be y(5). Let q be (-2)\/7 + d\/21. Which is the nearest to 2? (a) q (b) 2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 4*i**2 + 5*i + 2. Let j be f(5). Suppose 70 = j*l - 26. Let n = l + -32. Solve v + n = -2*s - 3*v, 30 = 5*s - 4*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*s - 76*s = 96229 + 74075. List the prime factors of s.\nAnswer: 2, 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 7 = x. Let l = x - 5. Solve -4 - 6 = -l*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41396195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -42826102.9 rounded to the nearest 100000?\nAnswer: -42800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5529.17633 to the nearest ten.\nAnswer: 5530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.2, -5, -27\/13, -3\/4, -8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1112584, 2223901, 3335216, 4446529?\n\"Answer: -h**2 + 1111320*h + 1265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 18632 = -3*g - 4*h, -4*g - 3*h + 24843 = 0. What is g rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.9834 - -0.0166. Let p be (3 - 2 - 5)\/(-2). Let c = 3 - p. Put c, 4, a in decreasing order.\nAnswer: 4, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to 188099070?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -64 + 66 + 41 - 23*u. What is the hundreds digit of c(-31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 y when three letters picked without replacement from {n: 6, s: 4, y: 6, c: 1, x: 1}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1413\/3388 - -144\/121. Find the common denominator of p and -109\/52.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 5*j + 9. Let k(l) = -l**2 + 6*l + 5. Let u(w) = 5*w + 5. Let f(v) = 2*k(v) - 3*u(v). Suppose -4*y - 23 = -3. What is y*f(x) - 3*o(x)?\nAnswer: x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w**2 + 13*w - 21. Is f(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*g + 12*g + 897*g**3 - 51*g.\nAnswer: 897*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 548571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238561?\nAnswer: 17, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**3\/n))\/(n*n\/n**7*n)*(n**(-8)\/n*n)\/n*n*n**2 assuming n is positive.\nAnswer: n**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3330, -3343, -3360, -3375, -3382?\nAnswer: -3375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1350 + 1620 = -18*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2*x + 8 - 14.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 297 and 7194.\nAnswer: 64746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 3*h + 6. Suppose 0 = 4*l + l + 2*c + 18, 4*l + 4*c = -12. Let w be u(l). Solve 5*v = -3*f - 18, -v - 7 = w*v - 2*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 52*i**2 + 17*i - 2. Let r be 27\/(-54)*-2*3. What is the tens digit of d(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/12 + (-115)\/(-4). Suppose -3*s = -2*s + 3*a - g, 4*a - 67 = -3*s. Calculate the remainder when -33*1\/1*-1 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 892*h**2 + 890*h - 5. Calculate n(-445).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2497*g**2 - 65007*g - 2219. Calculate z(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 780802, 1561605, 2342408, 3123211, 3904014?\nAnswer: 4684817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, w: 8, y: 5}. What is prob of picking 2 m?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3 + 265560*o**2 - 48786864*o + 2243027712 = 0. What is o?\nAnswer: 92, 88336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2000*d + 51248 + 1552 = -27537 + 12337 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -247066776*v*z - 12*v - 4166415 wrt z?\nAnswer: -247066776*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23367*u - 7788*u + 59*u**2 - 7791*u - 7788*u.\nAnswer: 59*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70\/9 or 8\/9?\nAnswer: -70\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.7794 - 0.0294. Let k = 0.75 - b. What is the biggest value in -4\/3, k, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -45.3028895?\nAnswer: -45.3028895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*f**2 - 30*f**3 - f + 2*f**4 - 1 + 12*f**2 + 3*f**2 in the form d*f**2 + i*f**3 + t + s*f**4 + m*f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 12, -2*s + 0*s + 64 = -4*z. Let v be (2\/15 - 0) + (-109060)\/(-1050). Calculate the greatest common factor of s and v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*10\/(-315))\/(60\/(-21))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 2 + 53*l + 14 - 53*l.\nAnswer: l**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 9*t**2 + 9*t - 6. Let f be r(8). Let l be 4\/6 - (f - (-13)\/(-3)). Let z be 0 - 0 - 2*-1. Calculate the greatest common divisor of l and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3697 - -5363. What are the prime factors of n?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 2*c - c. Let h(k) = -k**2 - 3*k + 3. Let p(a) = -3 + a**2 + 0*a**2 + 2*a + 1. Let n(v) = 2*h(v) + 3*p(v). Give n(d(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 418, 831, 1244?\n\"Answer: 413*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*n = 3*p - 1758, 4*n - 1057 = -3*p. Let b = p + -214. Suppose 0 = 4*k + 5*c - b, -2*k + 3*c + 1 = -40. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -772, 3582, 15402, 38420, 76368, 132978?\n\"Answer: 622*s**3 + s**2 - 3*s - 1392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -18*t + 111. What is p(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 1079*r**6\/30 + 901*r**3\/6 + 4032*r**2. Differentiate u(v) with respect to v.\nAnswer: 12948*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/2*(3 + -4). Let v = b - 11. Solve v = 3*t + t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 23682785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(242)*3 + 5 + 0 + sqrt(242))**2 - (4 + (sqrt(24)\/((sqrt(132) - (2*sqrt(132) + sqrt(132)) - sqrt(132))\/sqrt(11)))**2*-4).\nAnswer: 770*sqrt(2) + 106919\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k + k - 16. Let d be 2\/7 + k\/(-7). Solve 4*h + 4*o - 3*o = -15, d = -3*h - 2*o - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*o + 20, -o - 3*i + 4 = -5*i. Calculate the greatest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 3*l**3 - 2*l**3)*(-126*l**2 + 9*l**2 + 63*l**2) + (-4 + 4 + l)*(0*l**4 - l**4 + 0*l**4).\nAnswer: 107*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 divided by -2?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -78.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a meter in centimeters?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2 + 2. Let z(y) be the third derivative of r - 1\/60*y**5 + 7\/6*y**3 + 0*y + 4*y**2 - 1\/24*y**4. Calculate z(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 9 = 4*g. Suppose 0*v - g = -v. Solve -3 = -2*s + v*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = b + 13. Let q = 26 + b. Suppose q + 11 = 4*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tciitiaidttdatit. Give prob of picking 1 d and 1 i.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(204\/24)*(-3)\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4400)\/(-25) - (1 + 1). Suppose t - 144 = -6*c. Sort c, 1, -16.\nAnswer: -16, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -16, 0.4 in increasing order.\nAnswer: -16, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 432*o**2 + 2385*o - 22350.\nAnswer: -3*(o - 149)*(o - 5)*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42554 is divided by 132.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/((-156)\/216))\/(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 6*a - 7. Suppose 0 = 9*o - a*o. Let c(l) = 2*l + 54. Does 9 divide c(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 508743\/(-260) - (-8)\/52. Let r = t - -1957. Find the common denominator of r and -59\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -776666*z + 16555. Let l(r) = 1407*r - 30. Determine 6*g(x) + 3311*l(x).\nAnswer: -1419*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102269\/2 - 1702691\/34. Let b = -1053 + x. Let k = -326\/153 + b. Sort k, 1, -2, 1\/36 in increasing order.\nAnswer: -2, 1\/36, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -3\/59041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*o**3 - 2601 - 114*o**3 + 2372.\nAnswer: -92*o**3 - 229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f - 11 + 125. What is the second smallest value in f, 4\/9, 4, -2\/7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 5*q + 1. Let v be p(-5). Let u = -38 + 81. Let z = u + -44. Sort z, 2, v in increasing order.\nAnswer: z, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28393459*i**2 + 12786524*i?\nAnswer: 56786918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 9. Give t(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + c. Suppose c = -w - 0 + 2. Let u be w*(1 + (0 - 0)). Solve u = -p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 9\/2)*-1 - (-89)\/(-534)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 2*g. What is a(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 15*w = -3577. What are the prime factors of w?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21143078934 less than -17.82?\nAnswer: -21143078951.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-3) - -2 - -7. Suppose -4*g + n = 3*n - 26, n - l = -g. Is ((-868)\/g)\/((-2)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 5*o - 4. Let d = 64 + -62. Solve -3*z = d*v + 1, -5*z + 6*z + o = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2240 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 9 + 14 - 20*j.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j - 20 = 0. Let y be 6\/(-4)*(-22)\/(-33)*-5. Is y bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnj when three letters picked without replacement from gwnjrngrnr.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -137 + 130. Let i(m) be the second derivative of 5*m**3\/6 - 3*m**2 - 4*m. Let t(w) = 6*w - 7. Let r(b) = u*i(b) + 6*t(b). Determine r(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41304645*b**5 + 2254*b**2 - 424*b wrt b.\nAnswer: 2478278700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s. Let i(k) = k**2 - 107969*k + 3. Calculate i(n(d)).\nAnswer: d**2 - 107969*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 2:07 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3\/4 - 152385*q**2 - 23228500977*q - 2228531934816 = 0?\nAnswer: -304722, -96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38\/159 or -182935?\nAnswer: 38\/159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 - 3*o. Let u(s) = 17*s**2 - 13*s. Let a(l) = 2*u(l) - 9*w(l). Let p(i) = -3020*i + 483201. Let d be p(160). Determine a(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 137 = -36*c - 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 427, 1007, 1735, 2611, 3635, 4807, 6127?\n\"Answer: 74*u**2 + 358*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*l - 3*q, -3*l + 0*q = q + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n*n**(2\/17))\/n*n)\/(n\/(n**(5\/3)*n)))\/(n**(-2)*n*n\/((n**5*n)\/n)*n*n*n) assuming n is positive.\nAnswer: n**(346\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 62\/6 + 4\/(-12). Let q(r) = r**2 - 10*r + 4. Let p be q(c). What is the third derivative of -2*n**4 - n**4 - p*n**2 + 3*n**2 wrt n?\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23221311 (base 5) to base 2\nAnswer: -110011011110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m + 113 = 29 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 6*g + 2*g)*(-g**4 - 2*g**3 + 2*g**3 + (g**3 + 2 - 2)*(-2*g + 2*g + g) - g**4 + 4*g**4 - g**4).\nAnswer: 20*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3905177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 20 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 0)*(-1 + 2). Let n = 10 - m. Suppose i - n - 13 = 0. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1861289, 3722578, 5583867, 7445156, 9306445, 11167734?\n\"Answer: 1861289*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 - 2*q**2 + 2*q - 1. Let c(n) = -10*n**3 - 1384*n**2 - 6*n + 1. Give c(i) + 3*x(i).\nAnswer: -i**3 - 1390*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 934584 (base 11) to base 13.\nAnswer: 406629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 5*t**4\/4 - 4*t**3\/3 + 2*t**2 - 3. Let p(q) = 4*q**3 - 3*q**2 + 3*q. What is 3*c(b) - 4*p(b)?\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 14. What is the derivative of 10 - 4 - 8*p**3 + g wrt p?\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 48, 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 4. Let p = x + 8. Suppose i + l - p = 4*l, 3*i = -4*l + 35. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 21 = -2*k, 4*l - 4*k + 3 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 7:08 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - 5 - (12 + 12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -90, -19, 110, 303, 566, 905, 1326, 1835?\n\"Answer: k**3 + 23*k**2 - 5*k - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymotqbom. What is prob of picking 1 b, 2 m, and 1 q?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 10*n**2 - 12*n + 11. Determine t(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -171 + 176. Suppose 0 = -l - 4*l + 420. Let k be ((-4)\/l)\/((-3)\/(-6)). What is the biggest value in t, -5, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -139\/114 + 21\/38. Let o = -36 - -61. Which is the closest to p? (a) 2 (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 + 2)\/(-6 - 7 - -15). Let j(a) = -a - 6. Let v be j(-6). Solve -k - 2*h = 11, v*h = 5*k - 5*h - m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (1232\/(-56) - -88).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*a - 3, -4*a + 32 = -n - 2*n. Let j = n - -4. Let v(y) = -y**3 + y**2 - y + 14. Does 6 divide v(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1245*z + 14954. Let f be s(-12). Suppose 5*q = -5*a + 10, -3*a - 6 = -3*q + a. Solve q*y - 7 - 5 = -2*k, -5*y = k - f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i + 6. Let g(w) be the third derivative of 5*w**4\/24 - 7*w**3\/6 - 4*w**2 - 2*w. What is 5*g(y) + 6*s(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -10. Let f be ((-2)\/d)\/(5\/425). Suppose -2*o + 18 = 8, 93 = 4*j + 5*o. What is the highest common divisor of j and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59179 is divided by 5911.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 61 - 29 + v - 13 - 4.\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + sqrt(847) + 0)**2*-4 + ((sqrt(1008) - sqrt(1008)*-2) + sqrt(1008) + -3)**2 + (sqrt(1008)*-1)**2 + 4.\nAnswer: 64*sqrt(7) + 13701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 311*b + 330. Let r be n(-1). Which is greater: 410\/21 or r?\nAnswer: 410\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/3588546 and 97\/1104168.\nAnswer: 14354184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -49234, -98476, -147718?\n\"Answer: -49242*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 7:06 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 29\/2 - (195\/10 + -19). Solve -10*s + 8 = -r*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3172313574 to the nearest integer?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 5. Suppose -2*x + 52 = -f - 3*f, -4*x + 131 = f. Let u = 40 - x. Determine r(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 707.8372 - 708. What is i rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1758 + -1751. Let b(m) be the first derivative of -c - 4*m**2 - 1\/3*m**3 + 8*m. Calculate b(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w - 84. Let v = -21 - w. Let a(t) = -t**3 + 9*t**2 + 2*t + 3. Is a(v) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/5 of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**4\/4 - 3*q**3\/4 + 3*q**2\/4 - q\/4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - q + 7, -w + 10*q = 9*q - 5. Suppose 4*s - 40 = -4*s. Solve -g = -w*g - s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8043677?\nAnswer: 571, 14087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8657*k + 86590. Calculate p(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47.6 - -21.4. Let w = i - 57. Which is the fourth biggest value? (a) w (b) 1\/5 (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.9908 - -0.0092. Put 0.11, -2\/17, i in decreasing order.\nAnswer: i, 0.11, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10513, 10133, 9753?\n\"Answer: -380*v + 10893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -10*w**2 + 54*w + 7989. Calculate r(31).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 7:21 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -215*f + 11383. Determine r(29).\nAnswer: 5148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 553.\nAnswer: -22\/553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/17, -5, -2, -6387?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(1584)*6.\nAnswer: 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s - 471 = -1576. Suppose 2*j = -5*m + s, 4*m = 6*m - 3*j - 15. Solve -2*o - 3*g + 6 = 0, -2*o - 3*o = 5*g - m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(3 - 4)*16\/(-6). List the prime factors of 477\/(-6)*3*z\/(-18).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 364238, 364243, 364248, 364253, 364258, 364263?\n\"Answer: 5*m + 364233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 4*k**2 - 2*k + 1. Let r(w) = -w**3 - 2*w**2 + w. Let q(c) = 2*p(c) + 5*r(c). Let b be q(-2). Let f = b + 0. Solve f = m - 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 50, 152, 346, 662, 1130?\nAnswer: 1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.370944 milliseconds in days?\nAnswer: 0.00000010846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5865*t**2 - 6 - 3*t - 6567*t**2 + 2*t.\nAnswer: -702*t**2 - t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -327, 814 in descending order.\nAnswer: 814, 4, 2, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 7 (b) -0.1 (c) -15733\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 28. Let t(y) = y**3 + 4*y**2 + 5*y + 9. Let c be t(-4). Let f be p(c). What is the greatest common divisor of 65 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/10*(-758)\/87928)\/(2\/5).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 602*w - 664*w + 60*w + 10728 to a*w + p and give p.\nAnswer: 10728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**4 + 8571*g**3 + 249275?\nAnswer: 8*g**3 + 25713*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*j + 228 = 0, -2*o - o = -2*j - 234. Calculate the highest common factor of 16 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2*-468228\nAnswer: -936456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - 19) + -56 + 48?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -325, -328, -339, -364, -409, -480?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*m**3 - 1535*m - 35394 wrt m.\nAnswer: 27*m**2 - 1535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 9. Determine l(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**4 - 149*t**3 + 4481*t**2 + 4638*t + 7. Let b(n) = n**4 - 2*n**3 - n**2 + 2*n + 1. Let l(q) = 7*b(q) - f(q). What is o in l(o) = 0?\nAnswer: -1, 0, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631564 is divided by 288?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 96657673462381 from 1.\nAnswer: -96657673462380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8\/11)\/(p\/p**9))\/((p\/(p*p**7\/p)*p)\/p**(-6\/13)) assuming p is positive.\nAnswer: p**(1689\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 - (-21)\/6. Suppose 875*g - 25 = 880*g. Put p, 0, g in descending order.\nAnswer: p, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -10. Let n(j) = -5*j**3 + 6*j**2 + 6. Suppose -6*x = -0*x - 6. Let q(k) = k**3 - k**2 - 1. Calculate a*q(p) + x*n(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 70*c**3 - 49.\nAnswer: 210*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155510.\nAnswer: 2, 5, 15551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 458, 1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5592*z + 372. Let w(l) = 5600*l - 370. Let a(p) = 10*i(p) + 9*w(p). What is the derivative of a(u) wrt u?\nAnswer: -5520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-245)\/6180*(2 + -21). Let t = x + -1\/309. Suppose -2*q + 5 = y - q, 4*q = 5*y - 25. Which is the smallest value? (a) y (b) 2 (c) 0.4 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1212, 1219, 1230, 1245, 1264, 1287?\n\"Answer: 2*n**2 + n + 1209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 206, 2645, 9320, 22349, 43850, 75941?\n\"Answer: 353*r**3 - 32*r - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 563.624 to the nearest integer.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7616923 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 + 185*r**2 + 27*r + 1623. Give g(-62).\nAnswer: -3895","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*r**2 + r**4 + r**2 + r**2 + 6*r**4 wrt r?\nAnswer: 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240 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: Simplify -3*(sqrt(100)*-3 + sqrt(25) + sqrt(25))\/(-3*sqrt(180)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 7. Let q(z) = -z + 5. Let t be q(5). Is t > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 7, 0.\nAnswer: -2, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {s: 7, v: 4, c: 4, f: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 16 - (-3 + 3 + (31 - 31)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/(-8) - (-8)\/32. Let f be (-2)\/(y\/2 - -2). Solve j + 0 = -2*g + 3, -20 = -f*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1003, -141, 2595, 7211, 13713?\nAnswer: 22107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -310.36864 rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/38918 and 79\/638.\nAnswer: 38918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4 + (sqrt(12)\/sqrt(4) - sqrt(3)) + sqrt(3) - sqrt(3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2128 + 609 - 145 = 32*h. What is the highest common factor of h and 2781?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 4*x**2 - 8*x - 2. Suppose -3*k - u + 7 + 6 = 0, -14 = -4*k - 2*u. Calculate a(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/8 and -87\/145800044.\nAnswer: 291600088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2, -t + 29 = -6*t + k. Let i = -2 - t. Let h be (-16)\/24*(-30)\/4. Solve -4*d = -p - 10 - i, -h*d + 20 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 10*p**3\/3 - 8*p**2 + 16*p + 12. Let w(s) = -3*s**2 + 5*s - 5. Determine -5*q(u) - 16*w(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i - 2. Let r(q) = -3. Let k(v) = -5. Let w(a) = 5*k(a) - 8*r(a). Determine -c(p) + 2*w(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*k + 2*k. Suppose 4*w = h - 15, -k*h - 2*w = -h + 3. Suppose -h*l + 4 = 3*c - 11, 5*l = c + 37. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 26. Let u(h) = h + 26. Let y(f) = -3*d(f) + 4*u(f). Suppose 50 = 25*s + 275. What is the remainder when 118 is divided by y(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/11)\/q**(1\/6)*q\/((q*q\/q**(-10))\/q)*q*q**0 assuming q is positive.\nAnswer: q**(-593\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 17*a - a**3 + 5*a**3 + 7 - 3*a**3 - 9*a**2. Let w be t(6). Solve w = -3*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19375620 divided by -146785?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29332 by -5.\nAnswer: 29332\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -16*l**2 + 13*l - 151. Let y(f) = 7*f**2 - 6*f + 77. Give 4*b(o) + 9*y(o).\nAnswer: -o**2 - 2*o + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 944.6601 millennia to centuries.\nAnswer: 9446.601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 - 5*n - 2 - 7 + 6 in the form q*n**2 + x + o*n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 256 + -251. Let h = -0.05 - 4.95. Let j = 0.8 - 3.8. Which is the second smallest value? (a) h (b) r (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 (base 12) in base 15?\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 10*t**3\/9 + 248*t**2\/3 + 1554*t + 5476\/9 = 0?\nAnswer: -37, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6. Let o(k) = -k - 12. Let i(h) = -2*o(h) - 5*w(h). Give i(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.7. Suppose -565*p - 624 = -2148 - 1301. Which is the closest to 2\/5? (a) x (b) p (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712538 (base 10) in base 2?\nAnswer: 110100010000110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u + 184*u = -69*u - 35*u - 13590 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - 32?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*q = -14, -2*q = -4*c + 6 + 52. Suppose 0 = -a - 2*a + c. Suppose -3*r + 2*g + 10 + 19 = 0, 8 = a*g. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98853242 divided by 146\nAnswer: 677077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*s = 663 + 580 + 1919 + 358 for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 4*y - 4. Let z be u(5). Let f be z - (-1 - -2 - 0). Let h be 4 + (-11 - -5) + 0 + 1. Sort -3, f, h in decreasing order.\nAnswer: f, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rereeereeereereere. What is prob of picking 4 r?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/138307 in 3\/7, 7, 0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 0*t + 79 - 157 + 13*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(15\/4 + -3). Let x be (2\/j)\/((-1)\/(-18)). Let h be (3*-1)\/(x\/(-198)). Calculate the greatest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (754819\/97396)\/((-62)\/(-176)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 15*h + 25. Let b be u(-16). Differentiate -5*m**4 - b*m + 43 - 17 + 9*m - 2*m**2 with respect to m.\nAnswer: -20*m**3 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*x + 2 - 12, 0 = -3*x - 2*h - 4. Let u(p) be the third derivative of -p**4\/24 + 11*p**3\/6 + p**2. Give u(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 23639.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 402 + -139. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.081, 3, 1, 0.1, 3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - -2361149?\nAnswer: 2361167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 122725438 a multiple of 2393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7207030861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 9:46 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6789 + 1851. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*m = 3 - 6, -5 = -5*f + 2*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -45. Let q be (36\/(-24))\/(t + 7\/(-6)). What is the second derivative of q*r - 35*r**3 + 4*r + 15*r**3 wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 7*r + 76 = -10*r, 0 = -3*r - 12. Let o(g) = -g**3 + 26*g**2 + 25*g - 16. Let v be o(k). What is v rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -235, -252, -253, -232, -183?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -687.3 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 1 + -1)\/(6 + -7). What is the closest to 0 in 1\/5, 1, 3.06, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n - 182. Let l be h(-26). Solve 25 = 2*c - 5*k, 0*c + 5*c + k - 22 = l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 29 = -496*r + 491*r, 0 = -4*r + 102*c - 322 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hu when two letters picked without replacement from uhddhuhuuuuu?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 14, 30, 46, 62, 78, 94?\n\"Answer: 16*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 4 + -17 + 7 + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5.8 (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 not equal to 100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 264*w + 95. Is x(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - u - u + (-2*u + 4*u - u)*(0 + 2 + 0) + 3*u - u - 3*u)*(0 - 2 + 4 + (4 - 2 - 4)*(6 - 2 - 2) - 14 - 1 - 13) to the form k*u + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67733748?\nAnswer: 2, 3, 1881493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 5. Which is the second biggest value? (a) 5 (b) -1\/3 (c) r (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64440732.\nAnswer: 2, 3, 5370061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*m**4\/5 + 13408*m**3\/5 + 2686*m**2 - 23482*m\/5 + 6708\/5 = 0. Calculate m.\nAnswer: -2, 1\/2, 1677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 45*y**2 + y + 370. What is the hundreds digit of r(-57)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 7 - 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 4.2.\nAnswer: 25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + sqrt(77) + sqrt(77) + 3*(sqrt(77) - -1*sqrt(77)))\/((sqrt(121)*1)\/sqrt(11)).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l - 250 = -5*l - 0*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (0 + -1 - 10)) + 1 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 82*r**2 - 343*r + 111. Let b be n(-86). Solve -30*f + b*f = -5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320239 is divided by 2372.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + x**2 - 3*x**2 + (5*x - 5*x - 4*x)*(1 - x - 1) + 3*x**2 - 2*x**2 - 2*x**2 - 2 + 2 - x**2 + (-2 - 1 + 1)*(6*x**2 - x**2 - 4*x**2).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -208643208 divided by 26080401\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 52163*r**2 - 2*r + 1. Let f(k) = -5*k**2. Calculate z(f(g)).\nAnswer: 1304075*g**4 + 10*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 0 - -2 - (-594 - -606).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y - 12*y**2 + 6*y**2 - y + 5*y**2 - 2. What is n(-8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17671 - -153416?\nAnswer: 133525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*p**4 - 25188*p**3 + 570709*p.\nAnswer: 132*p**2 - 151128*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 16*w**2 - 5*w + 11. Let j be i(16). Let m = j - -113. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 0*q - q**2 + q)*(-19 + 7*q + 5*q + 21).\nAnswer: -12*q**3 - 38*q**2 - 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23b088 (base 12) in base 7?\nAnswer: -4631000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/20955 and 119\/60.\nAnswer: 83820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -327 - -507. Is d a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 7\/15, -0.5, 1, 26.6?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(3 - 0) + (-1495)\/(-6555)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 + -28. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:54 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 - -1 - (-1 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282622 (base 11) in base 16?\nAnswer: 21c93b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62887971943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaaoaooakoak. Give prob of sequence oo.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*p**3 + 41 - p + 0*p + 6 + 29 wrt p.\nAnswer: -6*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/((-308)\/(-11) + -24). Let i = -1.1 - -0.8. What is the smallest value in 3.7, i, 0, c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -6) + 7 + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 4*u - 4 = 0, 6 = -4*z + 3*u + 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = 3*i + 598. Let w = 82 + i. Let x(g) = 24*g - 3. Let u be x(2). What is the greatest common divisor of w and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 87\/(-145) - -744*(-2)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8555288 = -78*k - 5*k - 65*k. What are the prime factors of k?\nAnswer: 2, 7, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 2.3. Let f = 19.7 + r. Let m = f + -21. What is the second biggest value in 0, m, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-9 - 3\/1). Let d = z + 10. Let k(t) = t - 1. What is k(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-21))\/((-1465)\/2637)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 16) to base 10.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009533 to 6 decimal places.\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034438139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -12. Let d be (-21)\/(-14)*8\/i. Suppose -4*x = -d*w - 17 - 13, -x = 5*w + 20. What is the remainder when x is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 616 and 14872.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4098170 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5 - 4487*p + 7.\nAnswer: -4487*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120120 + 20122?\nAnswer: 10211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(6\/13)*z*z))\/(z\/(z\/(z*z*z*z**1))*z) assuming z is positive.\nAnswer: z**(-84\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4*w + 6. Suppose 4*v - w*b - 3*b = 1379, -4*v + 1355 = 3*b. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -298596*h**2 - 1 + 265375*h**2 + 1 to z*h + l*h**2 + k and give l.\nAnswer: -33221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11267192?\nAnswer: 2, 17, 82847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**14*b**(-26) assuming b is positive.\nAnswer: b**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 + 18. Sort z, 2, -2 in decreasing order.\nAnswer: 2, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -26 + 11 + 20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(((2 - -2)\/2)\/(-2)). Let y(b) = 10*b**3 - 5*b**2 + 5*b - 5. Let d(i) = -5*i**3 + 3*i**2 - 3*i + 3. Determine u*y(n) - 5*d(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321707 is divided by 40163.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 140537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*v**4 + 208*v**2 wrt v.\nAnswer: 2184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 62. Let r = -1.9 + 2. What is the nearest to 2 in 1, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 + 5*a + 11. Let c be m(3). Let i(b) = 571*b**2 - 2*b + 2. List the prime factors of i(c).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**2 + 140*u - 170 wrt u.\nAnswer: -2*u + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/145089 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 - 41. Let w be ((-54)\/m)\/((-4)\/(-16) - 0). Let b = w + 33. Solve -3*u + 2*i = -6*u + 4, -3*i + b = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaia when four letters picked without replacement from aiaaiiiiai?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, 9, 59, 149, 291, 497, 779, 1149?\n\"Answer: 2*r**3 + 2*r**2 + 2*r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12519 and 884?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 take away -340896436501?\nAnswer: 340896436444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001809914 to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (93\/(-310))\/(6\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010100 (base 2) to base 16.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**36 assuming f is positive.\nAnswer: f**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -7*r + 717. Does 47 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1763474984+83\nAnswer: 82.8236525016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(54))\/sqrt(6))\/(sqrt(300) - sqrt(300)*-1).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 8:21 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/3, 38, -3\/49, 0.1, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 208112 divided by -2?\nAnswer: -104056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 34 + 7 = 9*k - 5, -4 = 2*t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**2 - 97482550*q + 475142377725125 = 0.\nAnswer: 9748255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7766 is divided by 3828?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*l + 261 = 124*l. Solve -l*k + 6 = -3*a, 3*k - 5*k + 4 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -88*y**2 + 12*y**2 + 75*y**2. Let r(j) = 5*j**2 - 4. What is r(s(d))?\nAnswer: 5*d**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 4*t + 90 - 137, 5*a - 20 = 5*t for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 116*r**2 - 849*r - 1489. Calculate c(123).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33056504 and 1976?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 82199023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 315.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvdddddddvdddvdd. Give prob of sequence dddv.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15894 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -41*z**4 + 10*z**2 - 6*z - 4. Let f(n) = 83*n**4 - 21*n**2 + 13*n + 7. Let h(x) = -6*f(x) - 13*w(x). What is the third derivative of h(v) wrt v?\nAnswer: 840*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152933.13 months to decades.\nAnswer: 1274.44275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 268144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -57*2*5\/(-30). Suppose x = -3*b + 4*b - f, 5*b - 3*x = 87. What is the remainder when b is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = j, 9*q + 4*j = 4*q - 12. Let t(g) be the first derivative of g**2\/2 + 1. Give t(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 104126047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375669 is divided by 125010?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*sqrt(2)*-1 - (sqrt(32) + -1)) - ((-2*sqrt(1176) - sqrt(1176)) + sqrt(1176) - sqrt(24))\/(sqrt(192)*1 - sqrt(12)))**2.\nAnswer: 12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(3480\/96))\/(6\/5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11*n + 3. Let g be (-3 - 13)\/4 - 3. Let f(b) = 5*b + 2. Let h(a) = g*f(a) + 3*s(a). Let t(p) = 2*p + 6. What is -6*h(c) - 5*t(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(121) + (sqrt(121)*4 - sqrt(121))) - sqrt(121)) + sqrt(121))\/(sqrt(55)\/(4*sqrt(5))).\nAnswer: -32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002559629 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 9:58 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 9*r**2 + 6*r - 11. Let o be f(-8). Let q be (51\/27 + -1)*(-6)\/(-56). Which is the third biggest value? (a) 3 (b) o (c) -1\/8 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 5*z + 20, 0 = -y - 2*z + 18 - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**28)**(3\/20)*m**(-4\/17)\/(m\/m**(-1\/28)) assuming m is positive.\nAnswer: m**(6971\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, x: 2, c: 1, g: 3, z: 1}. Give prob of sequence cgxz.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1, 0.4, 0.2, -101?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*i - 106*i - 3 + 24*i + 21*i + 28*i as q + a*i and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/3*((-45)\/(-10) - 9). Solve 3*q = c - 20, -10*c + 40 = -p*c - 4*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -375081, -750199, -1125319, -1500441, -1875565?\n\"Answer: -x**2 - 375115*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 23. Let i = -9 - h. What is the tens digit of 22 - (-3 + 5 + i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11*h**2 + 3. Let k(q) = 12*q**2 - 4. Let i(l) = -4*a(l) - 3*k(l). Let x(n) be the second derivative of n**3\/3 + 2*n. Calculate x(i(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5878491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d5 + 1a0?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -27*w. Let f(v) = 586 - 1299 + 76*v + 713. Give f(l(h)).\nAnswer: -2052*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*w = -28*w + 234. Solve -j = x - 0*j - w, 3*x - 5*j = -26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d - 4. Let x be m(-3). Suppose 0 = 2*s + x*s. Suppose 5*t - 105 - 115 = s. What is the remainder when t is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 16. Suppose -4*x - z = -5*s, 0*s + 2 = -s - x. Suppose s*w + w = 170. Round w to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*u**2 + 4*u**3 + u - 2*u**3 - 109*u**2 to g*u**2 + y*u**3 + w + z*u and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -7\/5, 9391, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/6)*v**(2\/3)*(v*v**2*v*v)**(-3\/17) assuming v is positive.\nAnswer: v**(-13\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 5*h**2 + 5*h. Let y be c(4). Let a be 2*-2*(-2)\/y. Suppose z = -a*z + 45. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1370*c**2 - 11*c + 52*c**3 - 5*c**3 + 1370*c**2 + 487 + 605 wrt c?\nAnswer: 141*c**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/3)\/(-5)*3. Suppose -5 = 2*r + a*r. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174957452 divided by 87478726?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212100021 (base 3) in base 15?\nAnswer: -ad1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 2*l - 4, -2*g + 130*l = 125*l + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) - sqrt(7)*-1)**2*5.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-35)\/(-15))*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 minus 41110.4341?\nAnswer: -41170.4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/sqrt(2))\/sqrt(5))\/((-1*sqrt(60))\/sqrt(12)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5\/(52\/(-53) + 5 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -12. Let k(j) = 7*j + 33. Let z(q) = -10*q - 50. Let p(f) = a*z(f) + 7*k(f). Let d be p(-21). Solve -3*y = -5*b + 2*y - 10, -d*y + 2 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**2)**(-41))**(-1\/15)\/((v*(v\/v**(-4\/3))\/v*v\/(v*v\/(v**(-1\/8)\/v)*v)*v)\/(v*v*v\/(v\/v**1)*(v\/v**(-2\/19))\/v)) assuming v is positive.\nAnswer: v**(25301\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z - 143 = 11 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25 - 19?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3c0a0 (base 13) to base 9\nAnswer: 180781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(52\/(-117)*(-71)\/(-284))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 96 = 14*y. Solve -4*l + 3*p + 12 = 0, 3*p - y = 3*l + 5*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3021, -6\/7, -1\/4?\nAnswer: -3021","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 11022787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 14 = 2. Let d be (-1 - -1)*3\/y. Suppose d = -5*k + 7*k - 12. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5297?\nAnswer: 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 282\/15 + 27\/135. Solve -17*w + 32 = -g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 27*d**2 + 104*d + 608. Give h(31).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -11. Let o be ((-15)\/10)\/(x\/(-32)). Let c = o + 11. What is the least common multiple of c and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219515 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -198, 2, 324, -1 in decreasing order.\nAnswer: 324, 2, -1, -2, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p + 0*p + 2*p)*(2 + 1 - 2)*(36 + 5 - 4)*(-4*p + 4*p - 2*p) as i*p**2 + l + f*p and give i.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*o + 16. Let w be 4\/432*51 - 1\/4. Sort o, w, -3\/5 in decreasing order.\nAnswer: o, w, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14252553 divided by 4750851\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 12*z**2 + 4*z - 3. Determine l(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, w: 2, f: 6, c: 1}. What is prob of sequence cmm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, p: 7, q: 2, d: 4}. What is prob of sequence pdqp?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 749*n + 21604 = 793*n. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 6259?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6 = 4. Let u(f) = 5*f**2 + 2*f**2 - 2*f**2 - f**s. Let h(t) = 0*t**2 + 2*t**2 + 2*t**2 - 6*t**2. Determine h(u(m)).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 k when two letters picked without replacement from kkkkkkkddkdkkkdkkkd.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 6)*13\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**29*z**(3\/10))\/((z\/(z\/(z**(-2\/17)*z))*z)\/z*z*z*z*z*z**(-1\/32)*z) assuming z is positive.\nAnswer: z**(-91259\/2720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5184*h**2 - 5*h + 1. Let v(w) = 2591*w**2 + 2*w. Calculate 2*i(u) + 5*v(u).\nAnswer: 2587*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 88127 = -3*k + 22261, -3*c = -2*k - 49400. Is 107 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13428, 13643, 13858, 14073?\n\"Answer: 215*d + 13213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10778550719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 - 27*x - 134\/5.\nAnswer: -(x + 1)*(x + 134)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-670)\/67)\/(70\/(-217))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 4*m + 7. Let h be ((-8)\/6 + (6 - 4))*6. Let j be g(h). Which is the biggest value? (a) -3 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 4:53 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14362 + 41*t**2 - 36*t**2 + 14362.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 - 8*f + 4. Let h(d) = d + 5. Let k be h(0). What is v(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*q + 125*q + 129*q - 524*q + 134*q.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38727 and 93611765?\nAnswer: 4303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (30\/(-14) - (-27)\/((-2457)\/(-26)))\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/6 - 1)*(-2382)\/8. Suppose -59 = -3*g - 5*i + f, -4*g + 1109 = i. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-10))\/(1\/((-8)\/3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.495 - 0.365. What is b rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 591 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 69, 0, -5?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -0.4, 0, 32 in ascending order.\nAnswer: -0.4, -0.04, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 535, 1941, 4223, 7387, 11439, 16385?\n\"Answer: n**3 + 432*n**2 + 103*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3)\/u)**(-34)\/((u*u**(-1\/4))\/u**(-3\/4)) assuming u is positive.\nAnswer: u**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 10, 34, 76, 142?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/91, 114, 0.246, 0.2 in ascending order.\nAnswer: 2\/91, 0.2, 0.246, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -491 and 6406572587.\nAnswer: 6406572096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, 3, -4, -23, 5, -2 in increasing order.\nAnswer: -152, -23, -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000129 to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3362.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 7. Let f be j(-7). Suppose 1 + 17 = 3*c. Let w = c - f. What is the remainder when 17 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1890, 13, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oot when three letters picked without replacement from dtqozohzootho.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167988250 to the nearest integer?\nAnswer: 12961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29686 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 127*z. What is the remainder when b(1) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 415160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2057*s**2 - 42*s - 1136. Let p(k) = -4116*k**2 + 91*k + 2271. Let o(b) = -13*m(b) - 6*p(b). What is the derivative of o(q) wrt q?\nAnswer: -4090*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73244 or 73246?\nAnswer: 73246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 5*p = 16, 32*p - 27*p = -4*s - 36 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -56, -87, -118, -149, -180?\n\"Answer: -31*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108634 or -108635?\nAnswer: -108635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2. Let c(m) = 3*m + 1058. Give c(d(o)).\nAnswer: -9*o**2 + 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o\/o**(1\/4))*o))**(-41)\/(o**(-3)*o*o)**(-2\/79) assuming o is positive.\nAnswer: o**(-9725\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 216435*g**2 + 428532*g - 8676 = 0.\nAnswer: -2, 1446\/72145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 23516659.\nAnswer: 1\/23516659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(720) + 2*sqrt(605).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 11*b**3 - 13*b**2 + 5*b - 5. Let x(r) = 1 - 2*r + 1 + 3*r**2 + 3*r**2 - 5*r**3. Let l(h) = 2*i(h) + 5*x(h). Find the third derivative of l(w) wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:28 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:28 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-77)\/(-190) + -125*(-88)\/(-104500).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451835923?\nAnswer: 7, 11, 101, 58099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117477 is divided by 349?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3840)*-4)\/(sqrt(132)\/((1*sqrt(132))\/sqrt(12))).\nAnswer: -32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**2 - 1670*j + 1665 = 0.\nAnswer: 1, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2206966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 - 100. Suppose 0 = 3*i + 12, 5*q + 3*i - a*i = 271. What are the prime factors of q?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/101 - 3935\/202. Let t(m) = 37*m - 1. Let i be t(1). Calculate the common denominator of 58\/i + 2\/3 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**3 - 2 - 10*y + 2*y + 3*y**3 to the form r + v*y**3 + h*y**2 + a*y and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 7*v**4\/24 - 2*v**3\/3 + 4*v**2. What are the prime factors of t(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4 - 28648*a**3 - 630974*a**2 - 3586292*a - 2983968 = 0. What is a?\nAnswer: -13, -8, -1, 14346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 148 + -122. Calculate the highest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9977 in 5, -2\/13, 1, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65751, -77042, -95861, -122208, -156083?\nAnswer: -197486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 2:09 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 - 17*n. Determine h(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 9 = -10*v + 5*v, -4*s - 7 = -5*v. Suppose 0 = 2*u + n - 79, -s*u - 2*n + 30 = -44. Is 12\/u - (-404)\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 + 119. Which is the third smallest value? (a) -0.3 (b) 0.8 (c) w (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 13. Which is smaller: -22\/955 or r?\nAnswer: -22\/955","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3*n - 3*n)*(2*n + 9*n + n).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) - 1*sqrt(110))\/sqrt(10) + sqrt(11)*-3 + 3.\nAnswer: -3*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(70)\/(sqrt(847)*5))\/(2*1*sqrt(125)))**2.\nAnswer: -1\/75625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 7:18 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 931618301?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(700)*-2 + sqrt(700)*1*5)*-4 + -5)**2.\nAnswer: 6800*sqrt(7) + 3236825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 + 5*i**2 + 0*i**2)*(-13*i - 43*i - i + (-1 + 0 + 3)*(-2*i - 4 + 4) - 3*i - 2*i + 3*i + (1 + 2 - 4)*(i - i + 2*i) - 5*i + 4*i - i).\nAnswer: -737*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 2, e: 1, b: 2}. Give prob of picking 1 q and 1 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18447 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1874 + 7765. Does 21 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 + 192*n - 3022. What is j(30)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 47*p**2 - 85*p - 9. What is the thousands digit of d(-48)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 14 = m + x, 0 = 5*m - 5*x - 40. Solve 3*t + 19 + 2 = 3*j, -m*j = 5*t + 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 2. Let u be (-513)\/12 + 1\/x. Let a = 62 + u. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1077520, 2155440, 3233360, 4311280, 5389200, 6467120?\nAnswer: 7545040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 163030, 326063, 489096, 652129, 815162?\n\"Answer: 163033*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from twwqqqqllqllq?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44387635319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + t + 0*t)*(2*t + 0 + 0) + 20*t**2 - t**2 + 21*t**2 + (-t + 0*t + 2*t)*(2 + 2*t - 2) as m + u*t**2 + q*t and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4838.\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(144) + sqrt(144)*1 + sqrt(144))\/sqrt(6)*-1)\/((sqrt(800) - ((sqrt(800)*-1 - sqrt(800))*6 - sqrt(800))) + sqrt(800))*-1.\nAnswer: -3*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(-368)*24)\/((-5)\/(-700)*-6)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 15 + 91. Let j = -11 + o. Let y be -728*j\/7*5. What is y rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8 - -5) + -8)\/((-1)\/(-3))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o - 16. Let v(z) = -6*z + 13. Let k be v(9). Let d = k - -24. Is c(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-3)\/3*1. Solve c*h = 2*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8706913.3 to the nearest one hundred thousand.\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(238) + (sqrt(238) - (sqrt(238) - sqrt(238)*4)))\/sqrt(7)*-3)\/(3*sqrt(2592) + sqrt(2592) + sqrt(2592)).\nAnswer: -sqrt(17)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 377832004034?\nAnswer: -377832004038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2*7\/(-14)). Suppose -1 = 3*y - 13. Sort w, 29, y in descending order.\nAnswer: 29, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1241730 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/75 of a millennium?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**5 - 298*a**4 + 46*a - 5?\nAnswer: 20*a**3 - 3576*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let s = o - -0.1. Suppose 8 = -3*b - j, -21 - 7 = 3*b + 5*j. What is the second biggest value in s, b, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8651540 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13 - 5) + 6 - -4) + 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - q = 3 - 0, -4*q + 8 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34405, 34407, 34409, 34411, 34413?\n\"Answer: 2*k + 34403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2002*l - 16 - 4006*l + 16 + 2002*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 3\/13966597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 13, 0, -2, -19, 94 in decreasing order.\nAnswer: 94, 13, 5, 0, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1*(1\/(-1))\/((-57)\/285)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122006 by -2.\nAnswer: 61003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1. Let t = 94 - 59. Let l(n) = -2*n + 36 + 3*n**2 + n + t - 111 + 39. What is l(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 3. Let r be y(3). Let c = r + 8. Suppose 0 = f + c + 60. Round f to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/216 and 91\/23598.\nAnswer: 94392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 156271, 625027, 1406265, 2499985, 3906187?\n\"Answer: 156241*f**2 + 33*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*v - 30*v - 124*v + 636*v.\nAnswer: 939*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -916 or -30.923?\nAnswer: -916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -162, -158, -154, -150, -146?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 641715108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 841328 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*j - 6*j. Is (-781 - j)*1\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -200583 (b) -0.3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001342071 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 22 in increasing order.\nAnswer: -12, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**2 - 10. Let s(u) be the first derivative of u**3\/3 - u - 4163. Calculate -2*q(w) + 10*s(w).\nAnswer: 2*w**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -380797150*j**2 - 207778485*j wrt j.\nAnswer: -761594300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -10*f + 4. Suppose 3*q = -0*q + v, -5*v = -f*q - 12. Suppose -12*h + 191 = -q. Calculate the least common multiple of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iifffinfifwohffwhwfn. Give prob of picking 1 o and 2 n.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 - 14. Let g(v) be the second derivative of v**4\/6 - 9*v**2\/2 + 8*v - 3. Suppose -9 = -5*c + 6. Suppose t + 32 = -c*t. Give t*g(i) + 5*a(i).\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -265 - -636. Let p = l - 1129\/3. Let x = p - -5. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/2 + 4 + (13 - 20). Suppose 0 = -2*y + 4*y. Solve u - 5*z = -10, -5*u - g*z + z - 22 = y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 38 + 10. Let f = b + -6. Let r(o) = -o**3 + 9*o**2 + 10*o + 10. Let i be r(f). Solve 2*k = 2 - i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 4 + 305\/(-45). Let p = 13.5 + -0.34. Let u = p - 0.16. Put -0.2, m, u in descending order.\nAnswer: u, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 4*i. Let l be w(-6). Let f be ((-5)\/(-15))\/((-1)\/(-6)). Is l\/14 + f\/(-7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**3\/3 + 11*p**2 - 19*p. Let t be f(9). Let c(y) = 6*y**2 - y**2 - 3 + 2 - 4*y - y**3. Give c(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -23*j**6\/15 - 227*j**4\/12 - 36*j - 3. Find the third derivative of k(b) wrt b.\nAnswer: -1104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9 = -2*m + 10, -5*d - m + 17 = 0. Suppose d*s = -0*s + 12. Suppose 88 = 8*t - s*t. Calculate the smallest common multiple of 6 and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53 times 300\nAnswer: -15900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 33440 = 18*w - 8*w. What is the greatest common factor of 144 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2613 or 2587?\nAnswer: 2587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*s - 294*s + 267*s - 84372 = 682*s for s.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1038 + 1038 - 702*v to u + n*v and give n.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(1\/4)*g)\/(g**(1\/6)*g))**(-35)\/(((g*g**(3\/7)\/g)\/((g*g\/(g\/g**(-5)))\/g))\/(g\/g**(2\/7))**(19\/3)) assuming g is positive.\nAnswer: g**(-2067\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 + -86. Let o be ((-1296)\/378)\/((2\/(-21))\/1). Suppose -231*z + o = -227*z. What is the greatest common factor of z and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 35*q**2 - 95*q - 30. Give n(32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -v. Suppose v = 3*o - 2*o + 4. What is the smallest value in o, 1, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -55855*d. Let y(f) = -235*f**2. Calculate a(y(z)).\nAnswer: 13125925*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 63896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k**(1\/5))\/k)\/k*k)\/k*k*k)\/(k**0*k)*(k\/((k*k\/k**(2\/15))\/k*k*k))\/(k*k**0) assuming k is positive.\nAnswer: k**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -1 + 9 + -9. Suppose 0 = 4*h + 3*m - 12, h + 2*m = 5 - j. Let z = -25 - -24. Which is the closest to -1? (a) z (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 21. Let p = f - -16. Suppose u + 140 = p*u. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.50584 millennia?\nAnswer: 5.0584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 5. Let u be j(9). Suppose -u*q + 36 = 24. Solve -l = -2*l + q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 688407.18 to the nearest one thousand.\nAnswer: 688000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -21.7, 0.1, -3\/4, -625, 2, 1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014948 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 5*p - 26, -4*h - 12*p + 34 = -13*p for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 265 divided by -317679\nAnswer: -265\/317679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -61?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 70*i - 37. Let c be u(30). Which is smaller: c or -2\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -445 - 100?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**2 - 8*n**2 - 1 - 2*n + 22*n**2 - 8*n**2. Calculate p(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/8*6 + 35. Let k(a) be the first derivative of 103*a**3 - j*a**3 - 38*a**3 + 13 - 37*a**3. Let w(y) = y**2. Calculate w(k(b)).\nAnswer: 900*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 3.2, 7, -3, 1\/4, -3\/5, 0.04?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 5*t**2 - 9*t - 7. Let n be u(-6). Suppose -13 = -3*z + n. Solve -2*x**2 + 6*x**3 + 3*x**3 + z*x**2 + x**3 - 24*x + 8 = 0.\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -8, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 2. Let g be p(5). Let n = -6 - -4. Which is the second smallest value? (a) n (b) 2\/11 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61409150 + -35\nAnswer: -61409185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15\/4 of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -t - 6*c + 7, 0 = 5*t + 2*c - 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1766311, 1766314, 1766313, 1766308?\nAnswer: 1766299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t + 1. Let c be s(3). Let i = c - -51. Let p = i - 23. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 361*i**4 + 391*i**4 - 90*i**2 - 51*i**3 - 56*i**3 + 89*i**2 + 109*i**3 to the form z + o*i**2 + x*i**4 + q*i + t*i**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 4*j - 57. Solve 9 = -j*p - 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9735 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + (13 - 10) - 4) + 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 5*n**2 - 6*n + 9. Let g be q(6). Suppose l - 5 + 4 = 0. Let v be (-1 + 12\/3)*l. Solve -v*i + 24 = g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 458 and 229?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.39 + 23.39. Put n, -2, 3\/2, 0.4 in increasing order.\nAnswer: -2, 0.4, 3\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 8739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-3)\/5*(-21)\/(-63)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7592053223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**5\/270 + o**4\/108 - 3*o**2\/2 - 23. Let v(f) be the second derivative of w(f). Factor v(u).\nAnswer: -2*u*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -63, -239, -523, -909, -1391, -1963?\n\"Answer: g**3 - 60*g**2 - 3*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139941 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 820 + 259. List the prime factors of a.\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 51*l**2 + 10*l + 342. Let f(o) = -40*o**2 - 8*o - 341. Determine -10*f(w) - 8*s(w).\nAnswer: -8*w**2 + 674","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -76?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 98998, 98994, 98988, 98980, 98970, 98958, 98944?\n\"Answer: -a**2 - a + 99000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -686232156 + -0.5.\nAnswer: -686232156.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 3729?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + (sqrt(1700) - (3 + 0 + sqrt(1700))) - ((sqrt(1700) - (1 + -1 + sqrt(1700))) + 0 + 1))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10238*m**3 + 7447*m**2 + 1787*m**2 - 4762*m**2 wrt m?\nAnswer: -61428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 43617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 282 = 50. Let y = l + -53. Suppose 4 = y*s - 4*s. Solve -3*i - i - s = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -25756, -3, 3, 6\/25, -3\/2 in decreasing order.\nAnswer: 3, 6\/25, 0, -3\/2, -3, -25756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/268163 and -83\/153236.\nAnswer: 1072652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -12. Let c = t + 4. What is the smallest value in 2, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - 0. Let s = -382 + 414.5. Let x = s - 31.4. Which is the nearest to -2? (a) x (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/((-4455)\/(-30)) + (-49)\/(-99)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -875 at most -880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 e when four letters picked without replacement from {b: 3, e: 3, c: 2, k: 6, j: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2 - 24. Calculate the remainder when 102 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38838, 155262, 349302, 620958, 970230, 1397118?\n\"Answer: 38808*u**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164 - -166) + (13 - (1 + 1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 32. Let g = j - 20. Solve g*r - 17 = 3*a, -2*a - r = -0*a - 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 14*u - 10*u + 36 = 0, 0 = 2*o + 4*u + 8. Suppose -3*k = -2*a - 11, -8*k + o*a = -9*k + 13. Solve -6*v - 8 = -2*v, -k*j = -4*v - 33 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 16*d - 17. What is z(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 4*l**2 + 4*l - 3. Let g be q(-5). Find the third derivative of x**5 - 5*x**5 - 3*x**g + 2*x**5 wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1841 or -1?\nAnswer: 1\/1841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 16132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**2 - k**3 + 5*k**2 - 2*k**3 + k**3 + 2*k**3 + (-1 + 1 + k)*(12*k**2 + 2*k**2 - 4*k**2).\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, -4\/9, 5.496, -2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -3.175903\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4 + 44*w**3 = 0. What is w?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 11394?\nAnswer: 148122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2. Let q(v) be the second derivative of v**6\/240 + 25*v**4\/12 - 12*v. Let f(a) be the third derivative of q(a). What is f(p(s))?\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2534295477 to the power of 1\/2, to the nearest integer?\nAnswer: 50342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2342 is divided by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101628 is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 321*n**2 + 22*n + 16. Give z(-1).\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*t + 0*t + 3*t**6 - 16*t**2 - 4*t**6 - 1 + 25*t**2 + 124*t**4 wrt t.\nAnswer: -120*t**3 + 2976*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03399996 + -0.034. Round r to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -13) + (6 - (-4 - -2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = d + 3*a + 24, -2 = 5*a - 42 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1295365 is divided by 1441.\nAnswer: 1347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((4 + sqrt(2057) + 4*sqrt(2057) + sqrt(2057) - sqrt(2057)) + -4))**2.\nAnswer: 205700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 4*y**2 + 6*y + 1. What is the smallest common multiple of 2 and l(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 12*z**2 - 41*z + 702. Let m be c(13). Suppose -3*w + 4 = -w. Solve m*q + q - 3 = w*x, -15 = -5*q - 5*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 - 97. Sort -3, -3\/2, w in descending order.\nAnswer: w, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 7600 + 7584 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.71 + -20.57. Let f = 11 + x. Let m be (-36)\/(-60) - 64\/40. Which is greater: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10827054 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 124, 126, 130, 136, 144?\n\"Answer: j**2 - j + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1134578 to the nearest integer?\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7735345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001111 (base 2) to base 12.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4835854637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -3 - 4\/55*v**5 - 4\/11*v**3 + 7\/22*v**4 + 4\/11*v - 1\/11*v**2. Let d(o) = 0. Calculate o.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2) - 2\/4. Suppose g + v = 4*n, -2 = -5*g + 2*n + 11. What is the least common multiple of 2 - ((-1)\/(-2) - (-99)\/(-6)) and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1748058 - -5?\nAnswer: 1748062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -11) + 3 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1608333, -3216664, -4824995?\nAnswer: -6433326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -576*q**3 + 5*q**2 - 9*q + 4. Let z be x(1). Let u = -280 - z. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -4*w, 2*j = -w + 5*w + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-20)\/14)\/(33\/(3 + -5085)) is divided by 79.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1502\/349 + -682081\/148674. Calculate the common denominator of 79\/18 and i.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-8) - (924\/120 + -8 - (-5296)\/(-80))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 50*a**2 + 296*a + 408.\nAnswer: 2*(a + 2)*(a + 6)*(a + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8847162 is divided by 317?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2184*b**3 - 4350*b**3 - 4 + 6*b + 3 + 2175*b**3. Let y(z) = -17*z**3 - 11*z + 2. Suppose 0 = t + 5 + 1. Determine t*y(g) - 11*q(g).\nAnswer: 3*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.2, -1, -6, -0.3 in decreasing order.\nAnswer: 3.2, -0.3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + 105. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -33*c + 3. Let d(p) = 67*p - 7. Calculate 2*d(n) + 5*f(n).\nAnswer: -31*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 313 - 610?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 80567.2046 to the nearest one thousand.\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - o = -167, -2*o = 3*v - 4*v + 86. Suppose -2*c + 14 = 2*n, 4 = n + 3*n. Calculate the remainder when v is divided by (0 - c\/(-3)) + 15.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Let y be t(1). Let i = 4 - y. Suppose 0 = i*a + 2*c - 133 + 4, -3*c = -a + 54. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.08238 + 0.04032. Let k = 2.342 - 2.3. Let w = a + k. Round w to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -547658 + 547658 - 317*s**2.\nAnswer: -317*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10291017)\/(-6) - 6\/(-4). Suppose 0 = -2*w - 10, 0 = 3*t - w - 90462 - p. Let v = -316876 + t. What is v rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (-9568)\/(-69)*(-6)\/(-4). Suppose 0 = -3*u + 1125 - 120. Let x = u + f. List the prime factors of x.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/4 and -15\/416.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*c - 33*c, 81 = 3*b + 3*c. Calculate the greatest common divisor of 18 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -20*a**2. Let w(n) = -46914594*n. Calculate w(d(s)).\nAnswer: 938291880*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/28)\/((-9213)\/332 - -29).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89 + 138. Let d = -26 + o. Suppose -262 = -5*r + d. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047847.68 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 84\/(-72) + 14\/12. Is y smaller than -1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2325639 and 8304.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j - 126. Let v be m(0). Let x = -121 - v. Suppose 0 = 5*h + 2*t - 393, x*h = t + 3*t + 369. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 5, m: 5}. What is prob of sequence cgc?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -929*g - 2794. Determine p(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2625751?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45782, -45778, -45774, -45770, -45766?\n\"Answer: 4*l - 45786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 5 + 3)\/1. Suppose q*b = 15, -3*b - 4 = 3*p - 19. Solve -4*s + 9*s = -p*n - 19, 2*n = -4*s - 14 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.22, 5, -1.3, 20.4.\nAnswer: -1.3, 0.22, 5, 20.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 48 = -3*i. Let u be 8\/i - (-10)\/3. Suppose 0*x - 12 = -4*x. Is u less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + 1*(-3 + sqrt(171) + -1 + -1))*-3)**2.\nAnswer: -3888*sqrt(19) + 56700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41028335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 43*d**2 + 7. Let p(q) = 21*q**2 + 4. Determine 4*b(t) - 7*p(t).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 35 = -5. Let m be -1*(u + -3 - 56). Suppose -2*q + 115 + m = 0. What is q rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644*z = -641*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 4*n - 6*n - 16, 0 = 5*n + 3*g - 12. Let z = 2 - 1. What is the closest to 2\/3 in n, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqg when three letters picked without replacement from qgqgqqqq?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 11:09 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3284*b + 2. Let j be x(0). Determine y, given that 236196\/7*y - 1594323\/7 + 324\/7*y**3 - 13122\/7*y**j - 3\/7*y**4 = 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45718734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 10*u + 4. Let w be v(10). Let p be (-6)\/(w\/(64\/(-3))). Solve 0 = 3*x - d + 18, 4*x + p = 4*d - 0*d for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**4\/6 + 9*g. Let l(n) = -n**2. Give l(f(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 97, -1, -3, 1 in increasing order.\nAnswer: -3, -1, 1, 2, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120 - 100. Let m be 2\/6 + 3\/(-9). Suppose -b + 100 = -m*b. What is the greatest common divisor of b and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 116391*y - 116388.\nAnswer: -3*(y - 38796)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441 and 111807073?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1171, 1169, 1165, 1159, 1151?\nAnswer: 1141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 86.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**3\/3 - 680*x**2\/3 + 3*x + 2040 = 0.\nAnswer: -680, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.136 + -3.236. Which is the nearest to -0.1? (a) z (b) -2\/7 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.38234.\nAnswer: 0.114702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-3 - 1) - (0 + 7 - -19).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z = 4*z + 88, -9974 + 10006 = 2*o - z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -566*(-3 + (-2)\/(-1)). Let q = s - 205. Suppose -y = 2*h - 150, -5*h + 3*y + q = 2*y. What is h rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9326, -20976, -32626, -44276, -55926?\n\"Answer: -11650*s + 2324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*1 - (-185)\/((-4670325)\/403546).\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, -3, -5, -2 in decreasing order.\nAnswer: 69, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*k + 50 + 105. What is the remainder when 2\/(k\/2630*1582 - 3) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000110000111001 (base 2) in base 10?\nAnswer: -68665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 10, -272*j + 5*d = -276*j + 203442. List the prime factors of j.\nAnswer: 2, 59, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/2)\/(z*z**(-5)))\/(((z\/z**(-31))\/z)\/(z\/(z\/(z*z**(-34))))) assuming z is positive.\nAnswer: z**(-117\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871151 is divided by 394.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*j**3 + 1 - 1 + (2*j**2 + 3*j**2 - 4*j**2)*(-2*j + 4*j + 2*j))*(7*j - j + 2*j)*(j + 3*j - j).\nAnswer: -96*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 9*n + 57. Suppose q + 15 = 5*g, 5*q + n = g - 4*g. Let s = 2.6 + -0.6. Sort s, -0.2, q in decreasing order.\nAnswer: s, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + -4 - (1 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-2185)\/(-342) + 6\/(-4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 1, r: 1, h: 4, p: 3, k: 1}. What is prob of picking 2 a and 1 l?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 - 28*i + 57. What is o(-16)?\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*t - 61, 5*k + 19 = 3*t - 18. Suppose -12 = 6*i - 3*i + 3*x, 3 = -2*i - 3*x. Let y = t - i. Calculate the highest common divisor of y and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1862 and 293816.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 364958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) 2 (c) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*d - 2944, 0 = 4*d - 3*p - 3399 - 518. Suppose -3*j + x = -2940, -d = -j - 0*j - x. Round j to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-14))\/((-1)\/(-21)*12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*v + 5*v. Solve -5*n - 5*l + v = -0*n, 3*n = 2*l + 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-6) + 73*(-4)\/(-6). Which is smaller: l or 49?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = -26*f + 15 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 15 = -3*x. Suppose -2*j = -0*y + y - 25, -j - x*y = 0. Find the second derivative of 2*a**2 + 9*a - j*a**2 - 6*a wrt a.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 8*k)*(-27*k**2 + 15*k**2 + 15*k**2 - 9*k) + (-k**2 - 3*k**2 + 3*k**2)*(2*k + 0*k + k).\nAnswer: -27*k**3 + 72*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3))**(6\/5)\/(n**1)**9 assuming n is positive.\nAnswer: n**(-41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5358 is divided by 149?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360 divided by 72.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1210*h**2 - 1202*h**2 + 84*h**3 - 22*h**3 + 3144*h**2 - 733*h**2.\nAnswer: 62*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70*10\/8*(-296)\/(-925)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4, 5*x - 13 = -2*s + 7. Let y(z) = -2*z**3 + 6*z**2 + 6*z - 6. Let d(w) = -w**3 + 5*w**2 + 5*w - 5. Give s*y(m) - 6*d(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.15, 7, -0.2, 0.3, 0?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4*z = 8, 1 = -333*h + 332*h + 3*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4275 is divided by 128.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/855 and 58\/631395.\nAnswer: 11996505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*h + 0 + 11 = 0, -4*h = 2*m - 14. Let w = 1 + m. Calculate the remainder when 4 is divided by (w - 1)\/(2\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 2)\/(3 - 2). Suppose -1 + q = b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2215 = 7*l - 2*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 5361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18474.\nAnswer: 2, 3, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 7:05 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2345688 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715.9 rounded to the nearest 10?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v\/((v\/(v*v**(-1)*v))\/v))\/v)\/(v*v**(-5)\/v))**37\/((v\/(v**(1\/5)\/v))\/((v*v**7)\/v))**(1\/7) assuming v is positive.\nAnswer: v**(10386\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30 - (-1 - -2)) + 5 + -6. Calculate the highest common divisor of 42 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 5*s + 2. Let j be -1 + 4 + -1*1. Suppose -2*r - 5*x + 1 = -1, -4*r = -x - 4. Let y be (8\/(j - 0))\/r. Calculate p(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 16*v**2 - 8*v + 28. Let l be p(3). Let h be (-74)\/l*(0 + 1 - 1). Solve -w + h = -1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 12. Let k be 2\/5*-51 + (-26)\/(-65). Let q be b(k). Suppose 7*s - 171 + q = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 2. Suppose 8 = r*f - 2. Let v = 1 + f. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 356*q + 18490. What is n(-52)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i + 1. Let n be a(2). Let l(h) = h**3 - 24*h**2 + 22*h + 26. Let o be l(n). What is the tens digit of o*(-2)\/2 - -221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**5\/30 - x**2. Let d(l) = -l**2 + 23*l - 42. Let a be d(20). Let q(r) = 51*r**2 + 8 - a + 10 - r**2. What is q(j(s))?\nAnswer: 200*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 9:45 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 0. Let p = -3 + o. Let m = -5 + p. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.8 - -3. Let i = a - -2.9. Which is smaller: i or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1222101 - -10?\nAnswer: -1222031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 7*z + 4. Let f be c(3). Suppose -8*t = -6*t - f. Solve s + t = 2*q - s, 0 = 2*s + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 126*l + l**3 + 999 + 2*l**3 - 1744 + 46*l**2 - 181*l**2 + 1009.\nAnswer: 3*(l - 44)*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*a**3*t**5 - 7*a**3*t**3 - a**3 + 702*a*t**2 wrt t.\nAnswer: 5280*a**3*t**2 - 42*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 3*q - 1. Suppose -2*k - 4 = 2*w - 4*k, -5*k + 12 = -4*w. Let x be i(w). What is the remainder when (x - -32)\/(-3 - -4) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10325196 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2322*h**2*u**2 + h**2*u + 269*h**2 + h - 2*u**2 + 15*u wrt u.\nAnswer: 4644*h**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35032 and 302.\nAnswer: 35032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 2*w + 2. Let y be u(-1). Let v be (4 - 4) + 0 + y. Let h = -139\/196 + -2\/49. Which is the second biggest value? (a) -5 (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -410, -412, -424, -452, -502, -580, -692?\n\"Answer: -i**3 + i**2 + 2*i - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 - u. What is the remainder when 18 is divided by h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4\/13, 39 in ascending order.\nAnswer: -4\/13, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(156) - ((sqrt(156) - (sqrt(156) - sqrt(156)*2))*4 + sqrt(156))) + sqrt(156) - sqrt(156))*2)\/(sqrt(588)*-1*-2).\nAnswer: 40*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -h - w + 8, w + 9 = 2*h. Calculate the greatest common factor of 41 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2)**(8\/11)\/(y\/(((y\/(y\/((y**(1\/3)*y)\/y))*y)\/y*y)\/y))**(-31))**36 assuming y is positive.\nAnswer: y**(8760\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4466 + 26301. What are the prime factors of c?\nAnswer: 11, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -68, -1.87, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.51 - -2.21. Let a be 2\/(-23)*1\/2. Put o, -3, a in decreasing order.\nAnswer: a, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 + 43. Let i = -1223 + 1227. Solve m = -4*n - i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0236 - 348.\nAnswer: -348.0236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*(sqrt(208)\/((sqrt(80)*1)\/sqrt(10)))\/(sqrt(32)*-6 + sqrt(128)\/sqrt(4)) + 2)**2.\nAnswer: -36*sqrt(13)\/5 + 1551\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1012 (base 3) to base 12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 + 19. Let m be -3*(0 + 4\/(-18))*n. Suppose 3*d = -4*l - 7, -2*d + m*l = 3*l - 2. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**2 - 3*z + 2. Let l(v) = 11*v**2 + 8*v - 5. Give -8*k(x) - 3*l(x).\nAnswer: -x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 509*q = -516*q + 4733 + 14742 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzzf when four letters picked without replacement from {z: 2, f: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -131, -9, 4, 2?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(-2 + -210 + 0). Let l = 5332\/5 - p. Calculate the common denominator of -16\/11 and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(85)\/(sqrt(605)*2 + sqrt(5)))*2 + (4*3*sqrt(68) - (0 + 2*sqrt(68))))**2.\nAnswer: 3696*sqrt(17)\/23 + 3637012\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1559658239 to the nearest integer?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/15*(-8)\/4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33430052 (base 6) to base 15\nAnswer: -150a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = t + 7. Let b be (-150)\/(-22) + t\/(-44). Let o(k) = -k + 7. Let y be o(b). Solve 4*z + 4 = -y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (160\/15 - 8) + (-26634)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from agaagtc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (64\/56)\/(((-22)\/385)\/((-56)\/(-35)))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9786 and 84?\nAnswer: 19572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 5 (c) -6\/11 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 63, 125, 187, 249, 311?\n\"Answer: 62*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 2*c**2 + 14. What is d(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwtrorno. What is prob of sequence wz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 320 or 322?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((-108)\/(-84))\/(-3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13050, 4, 1, 0.1 in descending order.\nAnswer: 13050, 4, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + w = g - 36, -4*g + 146 = -5*w. Suppose 7*o + 83 + 183 = 0. Let r = o + g. Which is the second biggest value? (a) r (b) -0.3 (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1761 + 15851\/9. Let d = -13 + 8. Let o(j) = j**3 - 6*j**2 - 2*j + 9. Let m be o(6). Put d, m, t in decreasing order.\nAnswer: t, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) -24 (c) 2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 615991.2mg?\nAnswer: 0.6159912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 4)*(-13*j + 8*j - 3*j + 1)*(5 - 3 - 3) as u + b*j and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 18 = -12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 11*n**2 - 3*n + 8. Let u(s) = s**3 + 10*s**2 - 2*s + 7. Let y(f) = -5*p(f) + 6*u(f). What is the units digit of y(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 313.9742 and 1.443.\nAnswer: 315.4172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -501760 by 62720.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (891\/(-242))\/((-1415)\/(-6226))\nAnswer: -81\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 286 + -252. Suppose 0*w = -5*w + 675. Calculate the remainder when w is divided by g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.478, 5, 5\/2, -211, -0.3 in descending order.\nAnswer: 5, 5\/2, 0.478, -0.3, -1, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1205228, -4820928, -10847098, -19283738, -30130848, -43388428, -59056478?\nAnswer: -77134998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-12)*-2*3\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 59. Let h(z) = 12 - 7*z + 6*z**3 - 6 - 5*z**3 - 3*z**2. Let k be h(5). What is the closest to k in q, -1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2.5. Suppose -21*b - 10 = -16*b - 5*q, 0 = -3*b + q. What is the second biggest value in 5, b, k, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 15 = -3. Put 0, -13, v, -5 in descending order.\nAnswer: v, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7007, -13599, -20189, -26777, -33363, -39947?\n\"Answer: s**2 - 6595*s - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 9*k**2 - 8*k + 11. What is z(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 9*i**2 - 10*i + 5. Let w be v(-10). Which is bigger: -24\/95 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 5*x - 25, -2*f - 5*x + 25 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4225 = -8*r - 16*r - 4081 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(153) - (sqrt(153) + 2*sqrt(153) - sqrt(153)) - sqrt(153)) + -5)**2*1.\nAnswer: 60*sqrt(17) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. Let h = u - 5. What are the prime factors of h + (-1 - (-12 + 3))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**6\/600 - m**5\/60 + 7*m**4\/120 - m**3\/10 - 5*m**2 - 6*m. Let x(k) be the first derivative of a(k). Factor x(g).\nAnswer: (g - 3)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-10)\/30*(32\/16)\/(6\/(-3))).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6715 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: Expand (6*t**4 - t**4 - t**4)*(-2*t + 2 - 2) + 4*t**2 + 9*t**5 - 4*t**2.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.8319 * 0.0518.\nAnswer: -0.14669242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 48*u**2 + 16)*(9 + 6 - 1).\nAnswer: 672*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 16, 2*g - 10 + 0 = -2*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -9 (b) -3 (c) 0.4 (d) 3\/7 (e) 6.232\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25\/158528 or 0?\nAnswer: 25\/158528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**6 + 10*q**4 - q**2 - 183 wrt q.\nAnswer: -120*q**3 + 240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-900)\/6300*7\/805*-7.\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 4*k**2 - 8 + 6*k**2 to the form i*k**2 + u + z*k and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by -6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**41\/(j*j**(-1\/3))**(-6)*((j\/j**(-6))\/(j**(-1\/4)*j))\/(((j**(1\/4)\/j)\/j)\/j*j**(-2)) assuming j is positive.\nAnswer: j**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 6*a**2 + 16*a + 3. Let y be h(-8). Suppose 20*t + y = 23*t. Let v(r) = -r**2. Let m be v(t). Let d(u) = -9*u**2 + 2*u + 1. Give d(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, 317, -1, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117 - 114. Suppose p + f*r - 3 = 3, 8 = -4*p + 4*r. List the prime factors of 3 + -4 + p\/3 - -71.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 6 - -11 - 11\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11\/21 - 130\/21. What is the common denominator of l and -109\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -v - 4, 2*p + 955*v - 957*v + 12 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + u = 2*u + 11, -u - 47 = -4*x. Let j = x + -9. Suppose -2*v - 4*r = -0*r - 92, -r = j*v - 123. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 8*p + 2. Suppose -3*h = h - 16. Let f be o(h). What is the hundreds digit of 178 - (-13 - f)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 6*z**2 - 4*z + 7. Let d(a) = -a**3 - 3*a**2 + 2*a + 1. Let k be d(-3). Let i be h(k). Solve -m + 1 = i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 401154 by -2886.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d = -55. Let a be 0 + 1 - (-4 - d). What is the units digit of ((-40)\/(-16))\/((-1)\/a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203021 (base 4) to base 7.\nAnswer: 6362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 25*q**8\/336 - 19*q**5\/60 + 11*q**2 + 20. Let n(u) be the second derivative of i(u). Find the third derivative of n(v) wrt v.\nAnswer: 1500*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h**2. Let g = -74 - -75. Let f(b) = -b**2. Let j(m) = g*a(m) - 8*f(m). Let u(k) = -2*k**2. What is u(j(t))?\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 - 14. Let l(y) = -15*y**2 + 430*y - 106. Let q be l(28). Let z be a\/(-14)*q\/(-5). What is z rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 76670.6657 and 0.2.\nAnswer: 76670.8657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.45 - 0.15. Let h = 494 - 2592\/5. Let a = h - -1312\/55. Sort 2\/11, d, a in decreasing order.\nAnswer: d, 2\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 40 = 5*q, 5*q - 14 - 6 = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141.34 + 1.34. Let b = -139.80628155 + -0.19308845. Let x = w - b. What is x rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n = -24*n + 8. Solve x + 3*a = -0*x - 9, -n*x = 5*a + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*m**3*x - 4575*m**2*x**3 + 67*m**2 - 48151*m*x**3 - 2*m*x**2 - 5*m - 3*x + 1 wrt m?\nAnswer: 300*m*x - 9150*x**3 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -8*x - 2 - 10 + 3*x - 15*x. What are the prime factors of o(-16)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 less than -5851647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - 158?\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/37297 or -1?\nAnswer: 2\/37297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213439 is divided by 3208.\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 674593912 to the power of 1\/2, to the nearest integer?\nAnswer: 25973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1815)\/6*8\/(-10). Let m(t) = 2*t**3 + 4*t**2 + 3. Let n be m(-5). Let v = a + n. What is the greatest common divisor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32207374?\nAnswer: 2, 16103687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 13 + 49 = 0. Let t = j + 28. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71bd56 (base 15) to base 3.\nAnswer: 101011200011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -0.2632, 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30634 by -6.\nAnswer: -15317\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/5961 - 40405\/7948. What is the common denominator of x and -61\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 + 73412*h + 7410317398.\nAnswer: 2*(h + 201883)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -49*n + 1809. What is b(37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5044 divided by 1261?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - (sqrt(120) - (-4*sqrt(120) - sqrt(120))))\/sqrt(12))\/((sqrt(5)*-5 + sqrt(5))*-4).\nAnswer: -5*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 5658.\nAnswer: 5658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 38 - 3. Suppose 2*q - 8 = -5*b, -h*b + 6 = -4*q - 8. Do q and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/2*(-14)\/(-21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 33*d**4\/4 - d**3\/3 + 753*d - 581. Differentiate x(u) wrt u.\nAnswer: 99*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.3, -1\/8, 5, -4485\/4, -2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(539) - sqrt(539)) + sqrt(396)*1.\nAnswer: 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 1)*(-o - 67 + 67) + 4*o + 5 + 0*o - 3*o in the form b*o + u and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381 and 120294400?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-17)\/(-4) + -4). Let j be g - (-2 + -3) - 10. Let v = 6 - j. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 3)\/(9 + 36\/((-36)\/6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 0*o**5 - o**5 - o**5 - 2*o**3 + 2*o**3 + (o**2 + 3*o - 3*o)*(6*o**3 + 9*o**3 - 11*o**3).\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -9. Suppose -k*q = q - 5*r + 3, 0 = -3*r + 9. Let w be 12\/q + (-1 - 0). Solve 0 = -w*l + 3*b - 26 + 3, l + 3*b - 11 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77308 and 843304?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035973396 to 7 decimal places.\nAnswer: 0.0003597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2099362*a + 306*a**2 + 2099362*a to the form b*a**2 + p*a + x and give b.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 1794.\nAnswer: 7176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38, -54, -68, -80, -90?\n\"Answer: k**2 - 19*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3733501*l**3 - 2*l + 55874?\nAnswer: -22401006*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3218846799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 736584216 - -17522.\nAnswer: 736601738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d. Let j(z) be the second derivative of -563*z**3\/6 - 3501*z. Give j(o(a)).\nAnswer: -1126*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t**(-3\/2))\/(t\/(t**2\/t*t)*t\/(t*t**(-1\/8))) assuming t is positive.\nAnswer: t**(35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10735 + 257755\/24. Calculate the common denominator of u and 79\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 + 32148*h - 86124492.\nAnswer: -3*(h - 5358)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + 47 + 4 - 38.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in -8\/117, -4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(779\/1026)\/(-41))\/((-1)\/(-3))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 710 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -115*w**4 - 6*w**2 + 18*w - 2081. Let l(p) = -116*p**4 - 4*p**2 + 15*p - 2080. Let f(t) = 2*c(t) - 3*l(t). Differentiate f(s) with respect to s.\nAnswer: 472*s**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84799 is divided by 87.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 197, 231, 283, 359, 465, 607, 791?\nAnswer: 1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-966)\/147 - (-5 + (-5 - -3)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-11\/4)\/k**(4\/13))\/(k**(-2\/69)\/k**(-14)) assuming k is positive.\nAnswer: k**(-61099\/3588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-9.4.\nAnswer: 0.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 8580*p + 137273. Calculate t(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 768, 0.3, -0.3, 1, -119?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -110707?\nAnswer: -110704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6376 - -1026. List the prime factors of o.\nAnswer: 2, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 43. Solve -2*z + 11 = 3*k, p*k + 0*k + z = 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i\/i**6)\/i)\/i**(2\/7))**(1\/10)\/(i**(-2)*i*i**(-1\/2))**7 assuming i is positive.\nAnswer: i**(141\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*t - 139833 - 449255 = 104029. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 29*p**4\/12 - p**3\/3 + 7*p**2. List the prime factors of w(2).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168536 equal to 168537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 10:38 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**4\/12 - t**3\/6 - t**2 + 9*t. Suppose 0 = -44*f + 31*f + 910. Calculate the remainder when f is divided by q(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2c + 2fc?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6)*(-22 + -2). Let i be -10*(-4)\/w*-2. Which is the third biggest value? (a) -0.08 (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -0.2, -2\/179, 3788?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128916.7 kilometers in micrometers?\nAnswer: 128916700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(3) + 1 - (sqrt(18) - sqrt(18)*2)\/sqrt(6) - (sqrt(27)*5 + (1 + sqrt(9)\/sqrt(3))**2).\nAnswer: -15*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 2:34 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2\/4 - 15648969*r\/2 - 244890230762961\/4 = 0. Calculate r.\nAnswer: -15648969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 13 - 10, 5*j = -2*s + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -13. Suppose 0 = 6*o - h*o - 630. Let p = o - 33. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1788*j**3 + 2*j**2 + 3*j - 14. Let r be f(4). What is the units digit of r\/(-230) - 2\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143 (base 5) to base 12.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, 2\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 868 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by -499\nAnswer: -74\/499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j + a + 35, 2*j - 2*a = -10. Let w = 4 + j. Let r = -4 - 2. Is r < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14661421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/236 != -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Let b(k) = k**2 - 5*k + 5. Let z be b(5). Suppose 2530 = 4*t + 2*w, g*w - 3*w + z = 0. Round t to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8295 - -7886. Do n and -1633\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69191303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73\/24 + -55\/24. What is the fifth biggest value in 1, 0.5, 2, 13, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2. Let a(j) = -515*j**2. Give a(r(c)).\nAnswer: -8240*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1. Suppose -n + 23 = -4*g, 5*n + g - 20 = 2*g. Let m = -3 + n. Let l(x) = -x - x + x + m. Determine 3*l(p) - z(p).\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 20226.\nAnswer: -1\/10113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r = -21*r + 441 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + (sqrt(612)*2 + 5 + sqrt(612))*5 + -1))**2.\nAnswer: 74880*sqrt(17) + 2214016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7830 is divided by 270.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45 + 5 + (-6)\/6. Let c = -39 + x. Let q(i) = 2*i**3 - i**2 - 2*i + 2. Let r be q(2). Calculate the highest common factor of c and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 - 36*q + 27*q - 52*q)*(2*q + 0*q + 0*q).\nAnswer: -2*q**4 - 122*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148751487 to the nearest integer?\nAnswer: 12196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**3 - 43*d**2 - 5*d + 47. Let v be b(-14). What is the smallest value in -5, 9, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 564976636?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 + -6.87. Let v = 30 - 27. Let i = v + q. What is the second biggest value in i, 3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2296 = -16*f + 8*f. Suppose -x = w - 429, -5*w + 5*x - f = -2402. List the prime factors of w.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/229938 and 87\/2?\nAnswer: 229938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 + -302\/3. Let i = 7.01 - 7.41. Put i, q, -4 in increasing order.\nAnswer: -4, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182546.6 rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r*t**6 - 91*r*t**4 - 275*r*t**2 - t**2 wrt t?\nAnswer: -480*r*t**3 - 2184*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by (13 + (-42)\/3)*-79?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3141, 12586, 28307, 50316, 78625?\n\"Answer: 2*s**3 + 3126*s**2 + 53*s - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, p: 4, s: 2}. Give prob of picking 1 s and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22100)\/(-408))\/(-65)*60?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1*3\/(-2). Suppose 0 = -4*n + 12, -x = -7*n + 6*n + 1. Put x, z, 0 in decreasing order.\nAnswer: z, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*p**2 - 108*p**2 + 317*p - 43*p**2 in the form k*p**2 + w*p + a and give w.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/5, -2\/25, 1\/6, 56, -1, 0.5?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let w be (-12)\/36 - (0 - (-1)\/(-3)). Let r(y) be the second derivative of -4*y + 0*y**3 + w + 0*y**2 - 1\/12*y**4. Give r(b(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 205840\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(91)*-6 - ((sqrt(91)*-1 - sqrt(91)) + sqrt(91) + sqrt(91))*3)\/(6*(sqrt(420)\/(sqrt(12)*-3))\/sqrt(5)).\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668442.\nAnswer: 2, 3, 37, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 11, z: 3}. Give prob of picking 4 f.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + h**2 - 2*h - 4 + 2*h**2 + h**2 to a + x*h + r*h**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**4 - 300*f**3 - 4790*f**2 - 8700*f - 4205 = 0. Calculate f.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12908*w + 6146*w + 6290*w + 2*w - w - 2*w + (-3 + 3 + 2)*(3*w - 5*w + 4*w).\nAnswer: -469*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.7 - 29. Let l = -0.3 - r. Let m = 11\/105 - -7\/15. Which is the smallest value? (a) m (b) l (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/6)\/(11\/132). Calculate the smallest common multiple of (-2)\/b*-4 + 62 and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1326 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 0*h**4 + 1\/7*h**5 - 2\/7 + 2\/7*h**2 + 3\/7*h - 4\/7*h**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdl when three letters picked without replacement from fycfflflllfllffffdf.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310020 - -3?\nAnswer: 310023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4bb4 (base 12) to base 10\nAnswer: -8632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35253\/152 or 232?\nAnswer: 35253\/152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -78*t + 30. Let m(l) = -314 - 41 + 356. Give h(g) - 30*m(g).\nAnswer: -78*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(2\/7))\/(k**(2\/15)*k))\/(k\/(k\/(k*(k*k\/(k\/k**(-5)*k))\/k))*k*k**8) assuming k is positive.\nAnswer: k**(-359\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 177, -1, -159, -11 in ascending order.\nAnswer: -159, -11, -1, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*s**5 + s**2 + 5 wrt s?\nAnswer: -2400*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2887 + -2892. Let d(c) = -8*c**3 + 6*c**2 + 5*c + 2. Let w(g) = -7*g**3 + 7*g**2 + 6*g + 2. What is b*w(l) + 6*d(l)?\nAnswer: -13*l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20767*s**2 - 10267*s**2 - 10457*s**2.\nAnswer: 43*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 48599467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -483 - -421 - (-17 - (-10 - -19))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4 = -2*q, 0*r + 4 = -2*q - r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0 + 1\/48*j**4 + 1\/8*j**2 + 1\/12*j**3 + 5*j. Factor o(y).\nAnswer: (y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*r - 277 - 1095 - 28*r + 32*r - 502)*(r**3 + 2*r**3 - 5*r**3) as l*r**2 + f*r**4 + o*r**3 + q*r + s and give f.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + sqrt(119) + sqrt(119)*-1*4 + sqrt(119))\/(sqrt(112) - -1*sqrt(112)).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 1 f when three letters picked without replacement from gpgfapaapfaffpa?\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 20 - 9 - 3*d**2 to the form h + y*d + v*d**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 1\/2*q**2 + 0 + 5*q - 1\/4*q**4 + 0*q**3. What is the derivative of x(w) wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3860 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97492?\nAnswer: 2, 24373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 x when four letters picked without replacement from {m: 14, b: 1, x: 2}?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5076382999?\nAnswer: 139, 3257, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -17*h**2. Let n(g) = -2*g + 6. Let r(v) = 1. Let a(p) = -n(p) + 6*r(p). Determine a(d(u)).\nAnswer: -34*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + a - 24. Let k(t) = -8*t - 10*t + a*t + 1. Determine k(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 237 divide 569037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**3\/3 + 4*p**2 + 10*p + 7. Let v be y(10). Find the common denominator of 2\/v - (-2236)\/(-120) and 35\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 5*v**3 + 2*v**2 + 3*v**3 + v + 0*v**2 - 1. Let q be 5*5\/(25\/(-8)). Let r be q\/(-5) + 4\/10. Give j(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*y - 10 = -6, 0 = -5*c - 4*y + 22. Let b(x) be the second derivative of 0 + 0*x**2 - c*x + 0*x**3 - 1\/3*x**4. Let n(v) = -2*v. Give b(n(z)).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(1377))*-1*-2)**2.\nAnswer: -72*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 73, -315, -1139, -2363, -3951, -5867?\n\"Answer: 6*h**3 - 254*h**2 + 332*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 561.0643 litres?\nAnswer: 561064.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.40552 + 62\nAnswer: 62.40552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) -0.0873 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17613*h - 3*h**3 + 1 - 11*h**2 - 17614*h + 11*h**2 - 262*h**4 to m*h + t*h**3 + k*h**2 + l*h**4 + w and give l.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 760*b + 9. Let l(r) = 373*r + 5. Determine -5*j(c) + 9*l(c).\nAnswer: -443*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3352126.\nAnswer: 2, 37, 97, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -299.\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) -4\/9 (c) -4 (d) 25 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 11 = -2*k, 0 = -6*k + 3*k + 2*t + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {g: 5, r: 9}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -765, -3108, -7021, -12498, -19533, -28120, -38253, -49926?\nAnswer: -63133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 12, 0.2, 1\/4, -4, 22?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - p + 1. Let q(d) = d**3 - 8*d**2 + 16*d - 5. Let i be q(5). Suppose j + 10*j - 44 = i. Let f be -2 - j\/((-12)\/9). Calculate u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10370 and 700.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 481?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 51 divided by 91\nAnswer: 51\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**5 - 14223*h**4 + 141729*h**3 + 950583*h**2 + 1646208*h + 851580 = 0.\nAnswer: -2, -1, 15, 4731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a - 10*a + a + 0*a + 2*a**2.\nAnswer: 2*a*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 13*i. Let l(z) = -2 + 0 - 4 + 6 + 6*z. Calculate l(v(o)).\nAnswer: 78*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0519 in 707, -1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 11689818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n. Suppose -u = 3*u - 24. Let m be 3 - (u - (0 - -3)). Let g(j) = -5*j**2 + 0*j + m*j. Give g(c(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/142 - -251\/1562. Find s, given that 8\/11 - 8\/11*s + j*s**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 5\/10*46. Let q = 33 + c. Calculate the highest common divisor of q and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cccmzlzlzczwlczllm.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.072 + 0.052. What is n rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -171, 2315, -2, -3, 0 in increasing order.\nAnswer: -171, -3, -2, 0, 30, 2315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 952232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*b**2*c**2 - 2*b*c**2 - 16*b*c - 4*b + 7*c**2 + 240 wrt b?\nAnswer: -12*b*c**2 - 2*c**2 - 16*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262601 is divided by 7747.\nAnswer: 6950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116277479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 155, 356, 635?\n\"Answer: 39*c**2 + 6*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 6:50 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1359 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -88, -0.5, -0.0678, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -33*v - 91. Determine l(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**3 - q**2 - 6*q - 119. Let y(c) = -1. Suppose 2*d - 22 = 5*n, d - 3 = -2. What is n*y(j) + m(j)?\nAnswer: -3*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (247 - 0\/(-3)). Let w = 428 + a. Suppose 3*l + 2*r - w = 0, 3*l + 2*l + r - 309 = 0. Is l a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 11*t = 32*t - 288 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 17*f + 19. Let i be r(-7). Let g be 9\/3 - 16\/36*6. Which is the second biggest value? (a) -0.6 (b) i (c) -0.2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 4*d + 6, 4*v + 3*d - 2*d = 24. Suppose -8 = 3*j - 2. What is the remainder when v is divided by (-2)\/(-1 - 1\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4547*o**2 - 476*o**3 - 4553*o**2 + 498*o**3.\nAnswer: 22*o**3 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s*s**2)\/s)\/(s\/((s*(s\/(s*s**(-7)))\/s*s*s*s)\/s)*s))\/(s\/(s*(s**(-1\/2)\/s)\/s*s*s))**(-2\/31))**(-4\/3) assuming s is positive.\nAnswer: s**(-1244\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from rwzzzsgzsjwwrwszsws?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, y: 8, d: 2}. Give prob of sequence dyy.\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8432 is divided by 1445?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -680 + 680.429. Let t = b + -0.129. Let l = 88\/145 - 6\/29. Put t, l, 13 in decreasing order.\nAnswer: 13, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 175409878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -i - 11, -5*i + 99*a - 219 = 68*a for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6*q + 13*q - 8 - 58 + 9 in the form r + f*q and give r.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1492*b + 17989. Give i(10).\nAnswer: 3069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 16*s**2 - s + 1. Let b be n(-2). Suppose -b = -5*t + 23. Suppose 4*m - 30 = t. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 7*i**2 + 98*i + 6. Calculate r(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -10*c**2 - 3. Let x = 1 + 4. Let h(i) = 17*i**2 + 5. Let w(n) = x*a(n) + 3*h(n). Let t(q) = 3*q**2 - 8. Calculate w(t(d)).\nAnswer: 9*d**4 - 48*d**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b. Let s(y) be the second derivative of -23\/12*y**4 + 0 + 0*y**2 + 0*y**3 - y. Calculate s(r(q)).\nAnswer: -207*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 76 = -2*p. Let q(y) = -y**3 + 5*y**2 - 2*y - 3. Determine q(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/10 and 11\/6902098?\nAnswer: 34510490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -133, -161, -165, -145?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 + 4*t + 21)*(t**3 - t**3 - t**3) in the form i + p*t**3 + v*t**2 + o*t**4 + a*t and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 9. Let s = -5\/769 - -22361\/9228. What is the common denominator of s and (858\/20)\/d - 2?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -157*x**3 - 3*x**2 - 6*x + 3. Let o(r) = -r**2 - 2*r + 1. What is -a(y) + 3*o(y)?\nAnswer: 157*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3257.\nAnswer: 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -40 (c) -2 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 2 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32569878?\nAnswer: 2, 3, 11, 53, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 2*b**2 + 0*b**3 + 2 + 4*b**2. Let v be k(-6). What is the derivative of -5 + 5 - 5 + 6*y**3 - v wrt y?\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 162949.595 to the nearest 100.\nAnswer: 162900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 558 divide 529542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 881061*w + 792725 wrt w.\nAnswer: 881061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 584.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1970 + 5271 - 1978)*(22 - 22 - w**2)*(-7 + 2 + 2).\nAnswer: 3969*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 515 + 55?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 153\/21 + (-20)\/70. Suppose 0 = y*x - 10*x + 168. Calculate the remainder when x is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749096693.\nAnswer: 1601, 467893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 - 632\/15. Let x be (-2)\/(-4) + 3\/(-54). Let a = -235 + 469\/2. Sort w, a, x in descending order.\nAnswer: x, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21253*l**2 - 12308*l wrt l.\nAnswer: 42506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*u + 207771 = -43*u - 290819. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 52359.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1579, -1577, -1575, -1573, -1571, -1569?\nAnswer: -1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/14 - 30\/189. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*z + 23*z = 29*z - 87*z - 19890 for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 21. What is j(-13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q + 7*q + 2 + 11*q**5 - 9*q**5 wrt q?\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*l + 22. Let d(i) = 4*i**2 + 5*i - 3. Let f(q) = 7*q**2 + 9*q - 6. Give l*d(n) + 3*f(n).\nAnswer: n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - o + 7, 25 = 4*r + 4*o + 29 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3431395 and 385550.\nAnswer: 34313950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 45582*a - 2279090. Determine y(50).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 5:41 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 26*l**2 - 26*l - 15. Let n be h(27). Suppose -n - 13 = -q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 326*p - 26112. Give h(143).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31546492 to the power of 1\/2, to the nearest integer?\nAnswer: 5617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298.9 - 299. What is the second smallest value in 8\/5, -7, l, 4, 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2293, -2301, -2309, -2317, -2325, -2333?\n\"Answer: -8*g - 2285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 + 2 - -10 - (-5 - -11) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**1*w*w)**20)**15 assuming w is positive.\nAnswer: w**1500","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 6\/(-9)*-138. Suppose 22 = 2*l - s. Calculate the remainder when l is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/7 (b) -0.04 (c) -3 (d) 0 (e) 21 (f) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/30*((-1560)\/(-702)*(-6)\/(-50))\/4?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-7) - 23\/(-7). Let w = n + -1. Suppose 0 = 2*a - 4 - w. Solve -11 = -5*u + 2*c - 4, 0 = a*u + 5*c - 29 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**3 + 57*p**2 + 40*p - 325. Give c(29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3*(-4)\/(-3))\/(-1). Suppose -2*l = -2*y + 7*y - 17, -a*l - 36 = -4*y. Sort -5, y, -1.\nAnswer: -5, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o + 5. Let p be u(9). Let t = p - -25. Find the common denominator of 33\/14 and 65\/(-72)*(t - -8).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -6. Suppose -5*r + 245 = -h*r. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1055*n**3 - 331*n**2 wrt n?\nAnswer: 6330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 119, 2, 555?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**5\/30 - 7*j**3\/3 + 20*j**2\/3 + 20*j - 1. Factor x(b).\nAnswer: 2*(b - 4)*(b - 1)*(b + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -9, -75, -201, -405, -705, -1119, -1665?\nAnswer: -2361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 127*m - 5681. Let n be z(45). Calculate the highest common divisor of n and 1394.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52876800 by 61200.\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9248311099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 0.117?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 6. Let r be (-66)\/9 - (-3)\/9. Let y be l(r). Is (1 - 3) + y + -1 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11416*f**3*x**2 - 6*f**3*x - 700*f**3 + 489*f**2*x**3 + 3*f*x - 2*x + 7 wrt x?\nAnswer: -22832*f**3 + 2934*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 3)*(-69*k - 60*k - 57*k).\nAnswer: -1302*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2459594856 divided by 6\nAnswer: -409932476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*y - 46. What is the greatest common divisor of 126 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174016 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -3\/784, -2\/11, -1, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9773 - -9772. Which is the closest to 0.21? (a) -2 (b) g (c) 5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19668, -78564, -176708, -314088, -490692, -706508?\n\"Answer: 2*a**3 - 19636*a**2 - 2*a - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -42844?\nAnswer: -1\/42844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 231 and 48741?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 833*l - 426*l - 154 = 421*l for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 37. Let h = 5 + -14. Let z be -6*(3 + 57\/h). Which is bigger: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**3 + 7*s**2 - 74*s + 13. Let z(f) = -f**3 + 2*f**2 - 25*f + 4. Determine -2*q(h) + 7*z(h).\nAnswer: -h**3 - 27*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4)*q)\/q**(2\/19))**(-1\/63) assuming q is positive.\nAnswer: q**(-7\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -622 - 8?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, -2\/9, -2\/1357, 0?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 53, 27, 1\/2, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -28b1b?\nAnswer: -28b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwykh. What is prob of picking 1 h and 2 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -27*(-1)\/((-6)\/32). Let u = -10163\/3 - -3371. Calculate the common denominator of (-1742)\/r - 2\/9 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67185*b**3*m + 787*b**3 - 2*b**2 + 75 with respect to m.\nAnswer: -67185*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 31 - 27. Solve s*m - 2 = 2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - t**2 - 20*t + 5 + t**3 + 13*t - 4*t**2. Let z be a(7). Suppose 2*j + 158 = -4*b + 566, -z*b = j - 516. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -155514.096 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8850790 - -2947315579\/333. Let n = m + 9\/37. Calculate the common denominator of 121\/48 and n.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196774973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -28, 88, 0.1, -0.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -455*w + 3. Let d(x) = -154*x. Give d(h(i)).\nAnswer: 70070*i - 462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4318121 to the nearest integer?\nAnswer: 2078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjrjejqqjjqrreqljq. Give prob of sequence lq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 21*f**2 - 5)*(36*f + 1414*f**2 - 2 - 2828*f**2 + 1412*f**2 + 132*f).\nAnswer: -42*f**4 + 3528*f**3 - 42*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + (-14)\/(-4))*-10. Suppose 5 = k*d, j - 2*j - 3*d + 19 = 0. Let o = j + -14. What is the remainder when 5 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 7)*(-3 + 1 + 0)*(-2*t + 2*t + 2*t**2) to y*t**2 + s + a*t and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*c + 5*c + 15*c**2 - 85*c**2 - 28*c - 2 - c.\nAnswer: -70*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**2*v + 469*o**2 - 397*o*v wrt o?\nAnswer: 4*v + 938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.276 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/3)\/(-2) + -2. Let p be (j\/1*2)\/(-2 - 0). Is (-1 - -4)*(-259)\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-30) - ((-9)\/(-30))\/(-7*(-2)\/(-62)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + -1. Let u = 27 + h. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20328 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.768122 centuries?\nAnswer: 676.8122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g - w, -2*w = -4*g. Suppose m - d - 13 = g, -2*d = 5*m + 2*d - 74. Let u = 199 + -73. What is the greatest common divisor of u and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 4. Let y(z) = -35*z - 30*z + 17 + 72*z. Let j(v) = v + 2. Let l(a) = -6*j(a) + y(a). Determine 5*l(m) + 6*s(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10209, 10298, 10389, 10482, 10577, 10674?\nAnswer: 10773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/29 - 44\/145. Let r = -2 + 5. Sort 0.3, r, h in descending order.\nAnswer: r, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8654101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-75)\/4)\/25*2\/(-6). Let q be -1 - 4\/12*3. Sort q, 13, r in descending order.\nAnswer: 13, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.6 - 31. Let q = 90458930 - 90458938.4000057. Let r = n - q. Round r to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*d + 104*d + 32*d**2 - 33*d - 33*d**2 to s*d + m*d**2 + y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.33 - 0. Let i = -1.67 - x. Which is the nearest to i? (a) -1 (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 19.0001. Round f to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*g - 840 = 0, -3*g = -5*x - 6*g + 840. Let d be (-8)\/x + (2 - 10\/6). Let m = -0.1 - -0.1. Sort d, m, -0.02.\nAnswer: -0.02, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -w + 1, 3*w - 5 = 4*n + 18. Which is greater: n or -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 23*g - 172. Calculate the smallest common multiple of t(8) and 208.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + 49*j**2 - 88*j**2 + 2*j**3 + 39*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6570 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 5*n - 2 + 9, -4*o + 2018 = 4*n + 2062 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*d = 22, 2*f + 4*d - 2*d = -24. Let r(x) be the first derivative of x**2\/2 + 14*x - 2. Calculate the lowest common multiple of 10 and r(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 7*a - 36 = -2*y, -5*a = 5*y - 115. Let o(r) = 8*r - 26. What is the remainder when o(8) is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = 4*w. Let p be 2558\/(-9) - w\/9. What are the prime factors of (-1)\/(-3) - p\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54345833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19229774309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 19 + 379 = 0. Let a be 2055\/6 - 30\/(-75)*(-50)\/(-8). What is the greatest common divisor of y and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4586879, -9173795, -13760711, -18347627, -22934543, -27521459?\n\"Answer: -4586916*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.5966 + 12.2966. Let k = 13.82 + 0.18. Let v = k + -5. What is the second biggest value in u, v, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g + 5. Let o(j) = 14*j**2 - 22*j + 41. Determine o(a) - 7*p(a).\nAnswer: 7*a**2 - 15*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(132)\/sqrt(4))\/(sqrt(12)*4) - (4 + sqrt(176) + -2 + -5).\nAnswer: -29*sqrt(11)\/8 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u*x - 12*u - 10*x**4 + 16*x**2 - 1543 wrt x.\nAnswer: u - 40*x**3 + 32*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + (-1*2*(3 + sqrt(468)))**2.\nAnswer: 144*sqrt(13) + 1910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 42 = -2*t. Suppose 15*u - t*u = 1973. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**3\/3 + 3532*o**2\/9 - 18998*o\/9 + 660 = 0.\nAnswer: -594, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**4\/2 - j**3\/2 + 941*j**2\/2 + 19*j + 5. Differentiate m(r) with respect to r.\nAnswer: 12*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 56. Let v be (-5)\/((-125)\/(-410)) - q\/(-5). What is the hundreds digit of (-24)\/v*460\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 122*h - 110*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 + 7*k + 7. Let i(z) = -6*z**2 + 15*z + 16. Let o(h) = 3*i(h) - 5*n(h). Let a be o(4). Solve a*b = 3*x, 2*x = 2*b + 2 + 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 4*i)*(-1 - 1 + 3) - 5*i + 4*i + 2*i + (13 - 13 - 7*i)*(-7 + 5 + 9) to the form v*i + h and give v.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n = 24*n - 15. Find the second derivative of 10*g + 62 - 8*g - 154*g**n - 24*g**3 + 64 wrt g.\nAnswer: -1068*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 46 - (-1 + 1 + -2) - (-7 + 11)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**6\/150 + 13*h**5\/100 + 17*h**4\/10 + 22*h**3\/3 + 76*h**2\/5 + 1843*h. What is g in z(g) = 0?\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 7:42 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 682 - 5*q + q**2 + 6*q + 2071 - 555.\nAnswer: q**2 + q + 2198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/3 + 80*d**2\/3 - 1024*d\/3 + 4096\/3 = 0.\nAnswer: 8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h = -c + 603000, h - 201000 = -4*c. Round h to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -283, 13, 1, 23 in increasing order.\nAnswer: -283, 0.5, 1, 13, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 - -92. Let r(s) = 21*s**2 + 6*s + 9. Let u be r(-2). Let j = u + -49. What is the greatest common divisor of p and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 420510?\nAnswer: -420510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**5 + c**4 - 2*c**2 + 17*c wrt c.\nAnswer: -300*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 1)**2 + -3 + sqrt(63) + -3 + sqrt(63) + -1.\nAnswer: 18*sqrt(7) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 6. Let m(p) = -p. Determine m(q(f)).\nAnswer: -3*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -484 or 32.9348?\nAnswer: 32.9348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**2 + 913*u + 9911. Determine d(-293).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 382 - 370. Let r be 255\/s - (-70)\/(-56). Solve 5*y - y = r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-732)\/30)\/((-7)\/455) is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111000 - -12?\nAnswer: -110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -72310 to the nearest 1000.\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/25 and 58\/10375.\nAnswer: 10375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -221*v**3\/3 + v**2 - 16*v + 113. What is the second derivative of r(q) wrt q?\nAnswer: -442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + m**2 - 24*m + 4. Let y(x) = 4*x**3 + 16*x**3 - 43*x**3 - 2*x**2 + 24*x - 5 + 25*x**3. Determine -4*i(b) - 3*y(b).\nAnswer: -2*b**3 + 2*b**2 + 24*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2470 divided by -36413.\nAnswer: -190\/2801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, 3, 0.06, 2\/9, -0.2 in decreasing order.\nAnswer: 3, 1.7, 2\/9, 0.06, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}