diff --git "a/data/dm_maths/full_data_2/2107_11255.jsonl" "b/data/dm_maths/full_data_2/2107_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2107_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate prob of picking 3 p and 1 y when four letters picked without replacement from ryrykwprrmyyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/4 - 2652083*x**2\/2 + 10608335*x\/4 - 1326042.\nAnswer: -(x - 1)**2*(x + 5304168)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65072665 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -0.51 (c) 1405\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 13) in base 15?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71\/8 - -1049\/120. Which is the third biggest value? (a) 1\/7 (b) n (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1 - 4 + 1 + 6*s**3 wrt s.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*y + 30 = 4*s, 0 = 4*s - 4*y + 144. Let j = s - -42. Suppose -201 = -j*u + 4*u. What is the remainder when u is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**2 - g**2 - 7*g**2 - 107*g + 60*g**3 + 6*g.\nAnswer: 60*g**3 - 101*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (1 + -2)) + 9 + -14 + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 26, 31, 2, 159 in descending order.\nAnswer: 159, 31, 26, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 5:31 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.543 + -1.5427314. What is b rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 87446 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2582324482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28572697?\nAnswer: 59, 484283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -192*b - 197. What is o(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 1.372.\nAnswer: 1.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1117*r - 9. Let v(y) = -563*y - 5. Give -4*j(k) + 7*v(k).\nAnswer: 527*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1140 and 92922540?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/5))**(8\/11))**(25\/4) assuming y is positive.\nAnswer: y**(70\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1924*y**3 - 3444*y**3 - 2960*y**3 - 2*y + 49 + 3*y - 47 in the form p*y**2 + t*y**3 + h + o*y and give t.\nAnswer: -4480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3997420 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 23*r - 11 = 25*r, -2*a + 25 = -5*r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 7. Let q = 700 - 694. Differentiate d*h + 11 + 16*h + 2*h - q*h with respect to h.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -179*i**3 + 266*i**2 - 372879*i.\nAnswer: -1074*i + 532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*g - 2646219 = 513597 + 228090. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 959*y - 1004*y + 27090 = 0. List the prime factors of y.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 (base 9) in base 13?\nAnswer: -207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.047, 1902107 in increasing order.\nAnswer: 0, 0.047, 1902107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.23011 - 2234.23011. Which is greater: -5 or z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199451 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331075?\nAnswer: 5, 17, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(3) - sqrt(135)\/sqrt(5) - sqrt(3)) + (sqrt(243) + sqrt(243) + sqrt(243)*-1)**2 - ((((sqrt(24)*3)\/sqrt(8))**2 - sqrt(3)) + 3 + sqrt(3) + 1)).\nAnswer: -3*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 3\/100, 14 in descending order.\nAnswer: 69, 14, 3\/100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-21))**(-5\/2)*((k*k**(-14)*k)\/k)**(10\/17) assuming k is positive.\nAnswer: k**(-1065\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1306836 divided by 31\nAnswer: -42156","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8954 - -8833 - (3 + (5 - -2))?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - -1) + 0 - -9) + 272 + -280.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w + 4 = 14*w, -17029 = 5*k + w. Let j = k - -10307\/3. Is 32 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*((-26)\/30 - -1). Let v(k) = k**2 - 16*k - 17. Let l be v(17). Does l = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -369*f - 1512*f + 1005*f to b*f + y and give b.\nAnswer: -876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and (-2 + 1)*12*-1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:15 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -6c9b34?\nAnswer: 6c9b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/20*5)\/(15\/(-6)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16520.\nAnswer: 2, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/3, 0.2, 27\/2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/6*2 - -3. Let z(y) = 10 + 7*y**2 - 4*y + o - 10. Is z(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from ffreeisefteie?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 490\/5*(-2478)\/(-2891)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1242522 (base 6) to base 15.\nAnswer: 15248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/262 and -13\/6.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + t + 100, j = 11*t - 7*t + 25. Suppose -7*q = j - 53. Put q, -3, 66 in descending order.\nAnswer: 66, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/11 - 1024\/2112?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 162674 and 1434?\nAnswer: 233274516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 minus -1399?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1701 = 6*z - 201. Calculate the remainder when z is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 2:25 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*r**4 + 5*r**3 - 1 - 15*r**4 - 4 + 6 to the form o*r**4 + x*r**2 + z + l*r**3 + n*r and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - 121010?\nAnswer: -120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -171.9999+-6623\nAnswer: -6794.9999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566970 is divided by 121.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284283, -284297, -284329, -284385, -284471, -284593, -284757?\nAnswer: -284969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (279\/(-1488))\/((-3)\/4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27, 49, 83, 135, 211?\n\"Answer: r**3 + 15*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 442*x**2. Let u(z) = 1169*z**2. Determine m(u(y)).\nAnswer: 604019962*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.04, 2\/9 in ascending order.\nAnswer: -0.04, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-144)\/6)\/24)\/(1\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -110100011110110100101 (base 2) in base 10?\nAnswer: -1719717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -254 + 525 - 165*a + 5248*a - 271 - 2*a + 2*a - a - 3*a + 3*a + a + (-1 + 2 + 1)*(-5*a - a + 4*a) + 0*a - a + 0*a - 1 - a + 1 as r*a + l and give r.\nAnswer: 5077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 2.49, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*l**3 + 12 + 197*l**2 - 196*l**2 + 2*l**3 as i + j*l**3 + a*l + n*l**2 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 464.33492 to the nearest integer.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 5:13 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002783141 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -13. Calculate the remainder when v is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l, 4*x - l + 0*l - 4 = 0. Suppose 5*p + 2*t + t - 2 = 0, 3*p = 5*t + 8. Are x and p nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + ((sqrt(192) + sqrt(192)*-1 + -2)**2 - (5 + sqrt(192)*1))*-4 + 1).\nAnswer: 40 + 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -83\/740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 11. Solve 0*o = -k*o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -331*z**3 + 15*z**2 + 4.\nAnswer: -1986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*((sqrt(168)\/sqrt(128))\/sqrt(7))**2.\nAnswer: -41\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -8. Let t = v - -6. What is the first derivative of -t*k + 3*k + 4 - 3 wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 4*n + 100, 5*x = 2*n + 3*n + 145. Let k = -11 - -19. What is the greatest common divisor of x and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8900 or -2190?\nAnswer: 8900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of 539*x**5\/10 + x**4\/12 + 6879*x**2\/2 + 8*x - 146. What is the first derivative of q(z) wrt z?\nAnswer: 3234*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514 = -6*t + 484. Let m = -0.7 + 3.7. Which is the closest to t? (a) -5 (b) 0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152, 147, 140, 131?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 58*s**2 - 623*s + 5. Determine b(11).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -555\/329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 1. Let q be u(3). Suppose -4 + 0 = q*w. Let l be 5*-2*(w - -1). Solve -a + 5*r = l, -3 + 6 = 3*a - 4*r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*d - 494 = 192*d - 3*z - 167, 4*d - 150 = z for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*n**3 + 26*n**3 + 118 + 16 - 3*n**2 + 3*n**2.\nAnswer: -47*n**3 + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1624, -4153, -7584, -11923, -17176?\nAnswer: -23349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -2)*2\/24. What is the smallest value in -2, 1\/6, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/732 and 32\/33.\nAnswer: 8052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 10*q**2 + 2*q - 14. Let k be f(10). Solve -k*y + 8*y = -10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -602?\nAnswer: -24\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 8 = 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 141.83 - 154.136. Let d = o + 12.6. What is d rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 36 = 2*w, 2*w + 4*k - 2*k = 46. Let u be -3*(2 + 7\/(w\/(-8))). Solve u*y = 6*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 688*q**2 - 15111*q - 203. What is g(22)?\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 12*n**2. Let l(y) = 21*y. What is x(l(a))?\nAnswer: 5292*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -141*2\/(-3) - -1. Suppose -n = -2*g + 5*c - 26, 5 = c. What is the remainder when g is divided by ((-80)\/(-25))\/(2\/10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*r + 15*r**3 - 206*r + 102*r.\nAnswer: 15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.058, -5, 61, -4\/7 in descending order.\nAnswer: 61, 0.058, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z - 2*z - 5*z - 1040*z - 259*z - 495*z + (1 - 1 + z)*(1 + 0 - 3) as i + t*z and give t.\nAnswer: -1798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 4*g**2 - 2*g + 2. Let o be p(-3). Suppose -2 = -w - 0*w. Suppose 3*r = 5*t - 8 - 3, -t = 2*r - 10. Put t, o, w in decreasing order.\nAnswer: t, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 12:57 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 543256178 to the nearest integer?\nAnswer: 23308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-94)\/(-235))\/((-7)\/(-15)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 10. Suppose 0 = 5*q - 2*q + z. Let t = q + -5. Do -7 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lwswslsllwwl?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/31 + -34\/93. What is the nearest to -2\/9 in c, -4, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*q**3 - 45*q + 4*q + 32*q + 13*q**3 - 497*q**2 + 8*q.\nAnswer: 4*q**3 - 497*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y. Let w = 74 + -73. Let b(p) = 3 - 1 - 3 + p**2 + w + 25*p. Give b(h(q)).\nAnswer: 4*q**2 - 50*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/(-18) + (-1)\/(-1). Let t = -1\/6 - p. Sort 0.3, -4, t in descending order.\nAnswer: 0.3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 10 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**9\/75600 + 3*y**5\/20 + 9*y**2. Let u(k) be the third derivative of v(k). Find j, given that u(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 l when four letters picked without replacement from {l: 1, u: 5, p: 1, b: 2, v: 6, x: 2}.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, n: 3, r: 1}. Give prob of picking 1 v and 1 r.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 0, 16*a = 5*x + 17*a - 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-14)\/(-7))\/(2\/5 + 0). Suppose -5*o = -p - o - 20, t*p - 4*o = -20. Let l(d) = -d**2 - d + 4. Calculate l(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5 - 914*x**4 + 6496*x**3 = 0?\nAnswer: -464, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d - 5*s - 8, 0 = -3*d - 2*s + 2. What is h in -2*h**3 - h + 3*h - d*h**2 + 2*h**4 + h - h = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (3 - 4)\/1 - -133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igigiiggigiiii. What is prob of sequence ggi?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from atgtcgt. What is prob of picking 1 g and 2 t?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 2. Let u be r(-7). Suppose 10*b = u*b + 95. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 35\/(-70) + 150\/4. Solve 0 = 9*d - 8 - a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16228933, 16228970, 16229017, 16229080, 16229165?\n\"Answer: z**3 - z**2 + 33*z + 16228900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705.2623 decades to centuries.\nAnswer: 70.52623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66742?\nAnswer: 2, 13, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*x - 6*x + h, -x - 3*h + 6 = 0. Let v = 939968 + -939955. Let r(i) = 5*i. Let t(l) = -10*l. Determine v*r(z) + x*t(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:51 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526869 is divided by 1019.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 2 + 98. Solve 4*b - 1 = -0*q + q, 4*b = -2*q + t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q - 6. Let a(r) = r**3 + 2. Let f be a(-2). Let n(w) = w - 1. Suppose -4*j = -6*j + 18. Let o be (2\/6)\/(3\/j). Determine f*n(z) + o*g(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 14*u**2 - 15*u - 3. Let i be h(15). What is the hundreds digit of (-2 - -2) + (-118)\/i*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of 6\/7*c - 9\/7*c**3 + 3\/5*c**5 - 15\/28*c**4 - 10 + 15\/14*c**2. Find g such that n(g) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148.6 - 13.8.\nAnswer: 134.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-12) + 1492\/(-1248). Let l = -2305\/312 + b. Calculate the common denominator of (183\/(-15))\/((-3)\/5) and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 + 298 = 3*j + 5*u, 4*j - 4*u = 756. What is the highest common factor of 38 and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 17 = -2*i + 15, -4*i + 14 = -3*a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.3 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 712946.9 minutes?\nAnswer: 42776814000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*s - 53 + 53 in the form m*s + h and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 6:17 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49684?\nAnswer: 2, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7590614705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4+0.00700114\nAnswer: 4.00700114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5*k + 196 = 61, 5*k = 3*s - 91. Let h be 17\/(23\/s - 1). Let r = h - 67. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -2*f**5\/3 - 7*f**4\/4 - 41*f**2. What is the second derivative of t(y) wrt y?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z**2 + 3*z - 3. Let h be a(2). Let d(w) = 0*w + 38 + 0 + 3*w + w - 2*w. Let r be d(h). Which is bigger: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28289.\nAnswer: 28289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 26. Let c = i + -7. Let o(w) = 5*w**2 + 5*w + 3. Let j be o(-4). What is the highest common factor of c and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (3 - 1) - (1 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -220, -216, -210, -202, -192?\n\"Answer: u**2 + u - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 42. Let c = o - -125. What is the greatest common divisor of c and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((2 + -2)\/(-3))\/(-1). Let i = 0 - f. Solve i*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y**2 - 14*y - 10. Let a be o(-13). Let x = 3373\/5 + a. Find g, given that g**2 + 4\/5 - x*g - 1\/5*g**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1425 - 180?\nAnswer: -1615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/6, -0.5, 0, 0.4, -460\/9, -2?\nAnswer: -460\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1098902544?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 48688?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 31 + 18 = 0. Suppose -3*z + 2*t = -40, 2*z + 3*t = -t + 16. Suppose 58 + z = k*g. What is the remainder when 149 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = u - a, 5*a = 4*u - u + 29. Suppose 15 = -5*t + 5*y, -13 = 7*t - 2*t - 3*y. Sort u, -5, t in decreasing order.\nAnswer: t, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 4*z + 25 - 93, 2*i - 51 = -3*z. Suppose -2*x + 4*v + i = -x, -5*x + 5*v = -45. What is the first derivative of -x*n**4 - 4 - 4*n**4 + 1 wrt n?\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 59\/48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 2*v**2 + 7*v + 1. Let u be a(8). Let g = u + -116. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1426 + 0.02.\nAnswer: -0.1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((((-3 + (-2*sqrt(68) - sqrt(68) - sqrt(68)) - sqrt(68)) + sqrt(68) + sqrt(68) - -6*(sqrt(68) + sqrt(68) + 1 + sqrt(68))) + -5)**2 + -5)*3.\nAnswer: -360*sqrt(17) + 45900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + -4*3*(-1*(sqrt(2057) + -1 + sqrt(2057) + -3 + 4))**2).\nAnswer: -296202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44691151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4 - 34*z**3 - 210*z**2 - 558*z - 540 = 0. Calculate z.\nAnswer: -6, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42316 - 33?\nAnswer: 42253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 5*y + 2. Let x be v(4). Let n be -1 - 4*(-3)\/x. Let w be (-3 - -4*1)\/n. Sort 4, w, 0.3.\nAnswer: 0.3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*c + j, -2*c - 5 = -4*j - 11. Solve -5*a + c = -18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.019 (b) -331\/2 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(833)) - (-1 + sqrt(833))*6)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 12 = 4*s + 3*w, -4*w = 16. Suppose 2*p - 26 = -3*l, p + s*l = -0*l + 18. Solve 3*g + 2*g - p = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2317032\/3060*(-25)\/(-3). Calculate the greatest common divisor of u and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 351 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**8\/2016 + o**6\/180 - o**5\/180 - o**4\/48 + o**3\/18 - 27*o**2 - 3*o. Factor k(f).\nAnswer: -(f - 1)**3*(f + 1)*(f + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -38*b**3 - 5*b**2 + 5*b - 5. Let u(l) = 153*l**3 + 21*l**2 - 21*l + 21. Calculate -21*f(n) - 5*u(n).\nAnswer: 33*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 22 (b) -0.9 (c) 0.09 (d) -0.5 (e) -1.111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 6. Let z(p) be the third derivative of -p**5\/60 - p**4\/4 - 2*p**3\/3 - p**2. What is the lowest common multiple of z(-4) and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05705 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3731552322.\nAnswer: 2, 3, 29, 739507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 4*u**2 - 2*u**2)*(-105 + 105 + 27*u).\nAnswer: 54*u**3 + 27*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4 - 359*p**5 - 196*p**2 + 358*p**5 + 7*p**3 + 15*p**4.\nAnswer: -p**2*(p - 7)**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**2 + 8495635 - 8495635.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.161 + 6.939. Let t = -8.4 + g. Which is the nearest to 1? (a) -3 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3525438750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-24))\/(1\/(-20)). Let a(j) = j**3 - 4*j**2 - 5*j - 12. Determine a(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131028991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28998 + 29001. Solve -24*u + 9 = -k*m - 23*u, 0 = 5*m + 5*u + 35 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -295244 divided by -4\nAnswer: 73811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 10 = 14. Suppose -4*j + 696 = -w*j. What is j rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.573 - -2.073. Put -1\/4, 2, f, 0.5, 58 in descending order.\nAnswer: 58, 2, 0.5, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/(f**(6\/5)\/f*f*f)*(f\/f**(2\/11))\/(f*f*f**7))\/((f**(-2\/9))**30\/(f*f**(-1\/18)\/f*f**(1\/3))) assuming f is positive.\nAnswer: f**(-4393\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + -87. Let g = 59 + -59.4. Let y = 0.8 + g. Which is the third biggest value? (a) 0.2 (b) 0 (c) j (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.839 less than 0.0994725?\nAnswer: -1.7395275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31016541077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 12*g + 20. Let b(i) = -3*i - 5. Suppose -3*x = -2*v + 8, -5*x - 5*v - 5 = -0*v. Let y(h) = x*l(h) - 9*b(h). What is the derivative of y(d) wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 178*p + 4*p + 19*p**2 - 180*p to j + i*p**2 + o*p and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(200)*-1)*-2)**2.\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3460607, -6921196, -10381785, -13842374, -17302963?\nAnswer: -20763552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + b - 1. Let n = 427 - 423. Let q(g) = -5*g**2 + 8*g - 4. Calculate n*y(k) - q(k).\nAnswer: k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-438)\/(-24) - 2\/8. Suppose 0 + j = 2*q. Suppose 0 = -6*k + 3*k + q. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10 + 12528\/(-105) + 18\/(-63). Which is bigger: -136 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-1)\/2 + (-1308)\/(-2568)). Let q = 219 - p. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1034611707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/7)*n**(8\/9))\/((n*n**(8\/7)*n*n)\/n)**20 assuming n is positive.\nAnswer: n**(-3877\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(((-7450)\/(-6705))\/(22\/(-3))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4))**12 assuming m is positive.\nAnswer: m**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmrmmmmmmrmmmrm. Give prob of picking 3 r.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/4)*p**(-1\/5))\/((p*p\/((p*p**(2\/7)*p)\/p*p))\/p)**5 assuming p is positive.\nAnswer: p**(767\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -45*p + 2*p - 9 - 11 + 8 + 5*p**2. Let l be n(9). Solve -v = v + l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 733, 6133, 21113, 50587, 99469?\n\"Answer: 819*k**3 - 124*k**2 + 39*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001011110011 + 101101001110100?\nAnswer: 10011110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20023 - 19292. What is the smallest common multiple of c and 4?\nAnswer: 2924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 10:10 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12313085053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 12*i**2 + 21*i + 1. Let g be n(-14). Let w = 101 - g. Suppose -3*t - w = 5*k - 5, t - k - 9 = 0. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -5*m**4\/4 + m**3 + 6*m**2 + 5*m + 57. What is the hundreds digit of d(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**3 + 30*d**2 + d + 29. Let p = -33 + 38. Let b(a) = 5*a**3 - 31*a**2 - 29. Let t(u) = p*b(u) + 6*l(u). Is t(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 11 = 5*s, -5*s = 2*y + 3*y + 25. Let u(a) = -311*a**3 - 10*a - 19. Let t be u(s). Let i = -3987 + t. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(17\/3)*b)\/(b**1\/b))\/(b**(-14\/3)*b*b*b**(-20)) assuming b is positive.\nAnswer: b**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 17*t**2\/2 + 4*t + 3. Calculate the remainder when q(3) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -210 - -215. Suppose 70 = n*u - g, 4*u + 2*g = g + 65. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 9 + 0 = 0. Let n = -9.93 + 10. Let b = -2.93 - n. Sort 5, b, w in descending order.\nAnswer: 5, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -2\/5, 2\/207, 4096, 4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 - -55.7?\nAnswer: 55.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.3 + -1.7. Sort x, 0, 1.\nAnswer: x, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 6*s**2 + 8*s - 9. Let v be 2\/(-13) - 186\/(-26). Let g be m(v). Which is the closest to 1? (a) -1\/6 (b) -1\/3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1885, 3770, 5655, 7540?\nAnswer: 9425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3919878?\nAnswer: 2, 3, 217771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2387, 1, -4, -2, 36 in decreasing order.\nAnswer: 36, 1, -2, -4, -2387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-12345)\/1700 + 6. Let a = p - -1\/85. Factor 1 - 3\/4*q**2 - a*q.\nAnswer: -(q + 4)*(3*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-26)*21\/(-84).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1735635010 or 0?\nAnswer: 1\/1735635010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**3\/2 - 54*s**2 - 56599*s\/2 + 553755 = 0. Calculate s.\nAnswer: -201, 19, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4687654*f + 8*f**3 - 4687654*f + 7*f**3.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4165, -17408, -39481, -70384, -110117?\n\"Answer: -4415*c**2 + 2*c + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67162*v - 67157*v + 61*o - 478 = 0, -v + 4*o - 34 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*u)*((2 + 2 - 2)*(4 - 3 - 3) - 204 - 523 - 257 + 2 - 5 + 2)*(5 - 6 + 3).\nAnswer: -5934*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0.7, 3, 2\/5, -9 in descending order.\nAnswer: 3, 0.7, 2\/5, -9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -14*i + 13*i. Solve -3*l - 3*p = -2*p - i, 1 = 4*l - 3*p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 31*b - 148, -420 - 401 + 793 = 3*u - b for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -68*s + 159*s - 95*s - 70, 0 = -4*v - 4*s + 56 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0529 and -3.\nAnswer: -2.9471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11443.6 rounded to the nearest 100?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(637) + sqrt(637) + 0 + -2 - ((sqrt(156)*2)\/sqrt(3))\/((sqrt(4) + 2*sqrt(4))*3 + sqrt(4)).\nAnswer: -5 + 69*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -9134\/9, -4\/3, -4, -1\/4 in decreasing order.\nAnswer: -1\/4, -4\/3, -4, -9134\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 5*r**2 + r + 7. Let u(i) = i**3 + 9*i**2 + 7*i - 13. Let c be u(-8). Let g be k(c). Which is greater: g or 13\/5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.542949m?\nAnswer: 1542949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -112957, -113055, -113153, -113251, -113349, -113447?\n\"Answer: -98*n - 112859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7897 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -58 + 3 - -20\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 4*g + 64, -3*g = 2*b - 5*b + 78. Let v = b - 18. Put v, 2, -2 in decreasing order.\nAnswer: v, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -641*p**2 - 1698*p**3 - 55*p**3 - 765*p**2 + 153*p**2 wrt p?\nAnswer: -10518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 2:00 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/10*(20\/(-48))\/((-63)\/(-504)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*w + 9 = 73*w - 3*k, w + 15 = -5*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - q + (2 - 6 + 2)*(-7*q + 12*q - 7*q))*(4 + 0 - 5)*(-4*q**2 - q**2 + 4*q**2).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/18*6\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1500 and 1766250?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (72\/(-126))\/(2\/(-28)*2). Let g be 392680\/(-70) + s\/(-14). Let a = g - 1390. Round a to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -17*f - 95. Let t be x(-6). List the prime factors of ((-15)\/t - (-7)\/49) + 365.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 13*t**2 - 18*t - 40. Let v be y(-12). Let w = v - 28. Let g = 9 - w. Solve -5*u + g*i = 35, 2*u = -0*i - 5*i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10433 + -2?\nAnswer: 10431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 660 divided by 165\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 34*k + 192. Let f be w(-6). Let a be f\/3 - (96 - (-2)\/(-1)). Are a and -487\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -7*m**4\/18 + 5*m**3\/9 + 2*m**2\/3 - 6*m. Factor c(n).\nAnswer: -2*(n - 1)*(7*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2450 and 36525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-9 - (0 + 5 + -6 + -9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 182*j - 7. Let d(o) = -25*o - 79. What is n(d(y))?\nAnswer: -4550*y - 14385","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 22. Let r(p) = p**2 + 45. Calculate 2*r(x) + 5*s(x).\nAnswer: -3*x**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6559 and 2439011.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, o: 1, q: 1, v: 1, f: 1, p: 2}. Give prob of sequence opv.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.34 + 35. Let u = r + 0.04. Let g(k) = -k - 5. Let w be g(-4). Sort 0.4, u, w in increasing order.\nAnswer: w, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140\/9 + 47\/3. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1092 divided by 3\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.056232 decades to months.\nAnswer: 486.74784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h*h**8)**(-2\/101)*((h*h*h\/h**(1\/3))\/h)\/(h\/(h\/h**(-2)))*h*h\/h**2*h*h\/h**1 assuming h is positive.\nAnswer: h**(1336\/303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -76*f**2. Let k(b) = -145*b**2 + 61*b**2 + 74*b**2. What is k(g(n))?\nAnswer: -57760*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/2 - ((-12)\/(-3) + -5). What is the remainder when 86 is divided by (23\/v)\/(4\/(-8))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 341 (base 6) to base 3\nAnswer: 11221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-6))\/((-4)\/(-18)). What is the least common multiple of n\/(-9) - (-110)\/6 and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.9999798 - 16. What is h rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 238*c**3 - c + 0*c - 1 - 12 - 75*c**2 + 74*c**2 - 212*c**3 - c**4 as z*c**3 + m + v*c + s*c**2 + n*c**4 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((10 - 19 - 16) + 17)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1845 is divided by 186?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1513\/3384 - 6\/47. What is the common denominator of y and -73\/132?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 35 = -4*b. Solve 1 = 6*r - b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 491879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 6) to base 3\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -722*w**3 - 18718002*w**2 - 3940608*w - 207400 = 0.\nAnswer: -25925, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*u**4 - 2*u**2 - 487862*u - 179570078?\nAnswer: -40*u**3 - 4*u - 487862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2240*u - 106248 - 52061 = -13941 + 23632 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767*k + 1814*k = 734*k - 3443 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89616.13 millilitres to litres.\nAnswer: 89.61613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-5))**(-40\/3))**8*((t**2*t)\/t)\/t**(-8)*t**6*t**(-1\/8) assuming t is positive.\nAnswer: t**(-4993\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21 in -12, 4\/9, 1\/3, -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(33)\/sqrt(3)*1 - (-6*(-2 + sqrt(704) + sqrt(704)) + -5))**2.\nAnswer: -970*sqrt(11) + 103524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 - b**3 - b**2)*(-10*b + 7 - 7) + 338 + 3*b**2 + 16*b - 683 - b**4 + 349 to the form i*b + f*b**4 + l*b**3 + q + d*b**2 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 9 - 12 = 0. Suppose 0 = -3*i - i - 5*b + 1, 4*b + x = -5*i. Let j(h) = -4*h. What is j(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 + -919\/10. Calculate the common denominator of -31\/8 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 12:23 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - 63.9. Let v = m + 62.9991. Round v to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1078 - -121. What is the highest common factor of r and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 17 in increasing order.\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**4 - 34036728*x**3 + 96541571078832*x**2 - 91276644319524203936*x = 0.\nAnswer: 0, 2836394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/20735255 and 101\/50.\nAnswer: 207352550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*j - 32. Let d = j + -19. What are the prime factors of ((-34)\/d*-2)\/(5\/(-30))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.263501 minutes?\nAnswer: 555810060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/5060 and -27\/71470.\nAnswer: 36163820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -103*a**2 + 214*a**2 - 93*a**2. Let h(d) = -23*d. What is h(g(k))?\nAnswer: -414*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 5*b + 7*s, -7*b + 46*s = 86*s - 45*s - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y - 25 = -62*y. Factor -y*u**4 + 256*u + 10*u**3 - 256*u.\nAnswer: -5*u**3*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czmmxsgg. What is prob of picking 1 m and 1 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 6:08 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/3745 and 56\/1177.\nAnswer: 41195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 4*f + 18, 16 = -4*r + 484*f - 481*f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i - 5*i - 2*i**2 + (4*i - 2*i**2 - 4*i)*(64 - 33 + 46) - 1 + 1 - 2*i**2.\nAnswer: -158*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*n - 32 = 0, 4*h = -5*n + 19 + 124. Is (420\/18 + 12)\/(4\/h) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 3*g - 2*g - 35 = 0, 0 = w + 3*g + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((3230\/119)\/(-19))\/(8\/(-7))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -8. Let u(x) = 6*x**2 + 10 - 13 - 8*x**2 + 4*x + 8*x**3. Calculate the lowest common multiple of y and u(1).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 times -219?\nAnswer: -32.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 8\/5, 50445, -5 in descending order.\nAnswer: 50445, 15, 8\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9137, 18420, 27947, 37838, 48213, 59192?\nAnswer: 70895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 + 10037*a - 281428.\nAnswer: (a - 28)*(a + 20102)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 0*f**2 + 2*f**2 - 3*f**2 + 2*f**2. Let h(b) = 3*b**2 - 1. Give -5*a(i) + 2*h(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395 = -69*r - 10*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2678611683?\nAnswer: 3, 11, 79, 379, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2811 and -331.\nAnswer: -930441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*f + 250 - 745 = -243*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12445 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4047 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1530379.2 months?\nAnswer: 12753.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*u + 61*u + 442 = 0. Solve -6*m = -u*m - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-340)\/35)\/((-16)\/112). Suppose -360 = j*q - 73*q. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 3152000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3919, -7837, -11755, -15673?\nAnswer: -19591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26 - -27)\/((-1)\/(-26)). Suppose -2*p + 26 = b - 0*b, 24 = p - 5*b. Let z = n - p. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 2 (c) 5 (d) 85\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2713, -5352, -7991, -10630?\nAnswer: -13269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*z - 4175, 0 = -q - 81*z + 84*z + 1396. What is the remainder when q is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -137 + 425. Suppose -132*b + l = -124*b. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/854 and -49\/620.\nAnswer: 264740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6375 and 66300?\nAnswer: 331500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 5605553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 45 = -140 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-150)\/(-35))\/((-175)\/(-2940)). Which is bigger: 303 or s?\nAnswer: 303","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 19 + (3 - (-2 - -4)) + 46 + 36?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*-252\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(4\/7)*(j\/(j**(1\/7)\/j))\/(j*j*j**9) assuming j is positive.\nAnswer: j**(-68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + t**2 + t - 1. Let b be (-4)\/(-2) + (-4 - -1). Let c(q) = 1196 + 3*q - 602 - 599 + 0*q + 6*q**2 + 7*q**3. Determine b*c(p) + 5*j(p).\nAnswer: -2*p**3 - p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 54, 2 in increasing order.\nAnswer: -0.09, 2, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 7*b**2 + 6*b - 13. Let q(f) = -2*f - 8. Let m be q(0). Let r be l(m). Solve -r*s = -8*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(-4*z + 0*z + 3*z + 2*z - 5*z + 5*z + (-4 + 2 + 3)*(-3 + 3*z + 3))*(-1 + 4 - 1).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11121102112 (base 3) to base 9.\nAnswer: -147375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11208 times 204\nAnswer: -2286432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, b: 3, u: 1, p: 1, f: 2, h: 7}. Give prob of sequence abua.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + 4*n - 1. Suppose 14*w = 19*w - 15. Suppose -w*u + 63 = -2*u. Calculate the remainder when u is divided by q(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 95?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*q + 500 = 49*q - 49718 for q.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 7*n**2 + 9*n - 10. Let p be h(8). Let g(a) = -a**2 + a + 2. Let m be g(p). Let w be 1\/m - 30\/8. What is the smallest value in -2, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 o when three letters picked without replacement from {x: 1, o: 4, c: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70127054561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*-0.0507\nAnswer: 0.006591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 466109 is divided by 121.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/4175 and -19\/10?\nAnswer: 8350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 13*d - 25*d - 18 - d**2 - 6*d. Let w be z(-14). Suppose -4*i - 22 = -6, -4*c = 5*i + w. Let a(m) = -5*m**2 - 1. Determine a(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c + 0*c - 4*c in the form f*c + w and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -0*a - 4*a, 4*f + 3*a + 11 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50677154.\nAnswer: 2, 11, 101, 22807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -5, -4\/3, 0.14.\nAnswer: -5, -4\/3, 0.14, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -278615 * -0.03.\nAnswer: 8358.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-eight thirds of a century in months?\nAnswer: 27200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/4*38\/(-10) and -11 + -17 + (-37575)\/(-1320)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*p**3 + 104*p**3 - 351*p**3 - 40*p**3 + 102*p**3 + 101*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:47 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -12*q**3 - 15*q + 15. Let y = 208 + -127. Suppose -s = 2*h - 21, 5*s + h + h - y = 0. Let d(z) = 3*z**3 + 4*z - 4. Calculate s*d(a) + 4*j(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(2\/7))**11)**(-31) assuming j is positive.\nAnswer: j**(-4092\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 380078831035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -114, 2\/9, 3 in increasing order.\nAnswer: -114, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -218.0291 + 0.0291. Let r = 219 + p. Let f = -0.2 - -0.4. Which is the biggest value? (a) f (b) -0.3 (c) r (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 108 = 2*z, 3*t - z - 4*z - 80 = 0. Suppose -3*c + 65 = 2*c. Let q = t - c. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2594181 to the power of 1\/2, to the nearest integer?\nAnswer: 1611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/3196 - 150117\/303620. Let c = 2\/19 - l. What is the nearest to 0 in c, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6285489 is divided by 52379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-22) - (-18)\/99)\/(-1). Solve l = -6*o + 4 + 26 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 4*z + 30 = 0. Let m be 8\/(7 + z) - (1 - -2). Is 1\/19 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqttuhuhhuqrhq. Give prob of picking 1 u and 1 q.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6833100 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/37 (b) 2\/3 (c) -4\/3 (d) -214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 19, -1725, 3, 1 in decreasing order.\nAnswer: 19, 3, 1, -2, -1725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -42798 plus 86?\nAnswer: -42712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21\/2*4 - 1?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 3*y. Let f(v) = 9*v**2. Determine j(f(b)).\nAnswer: -162*b**4 + 27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55927232503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine tenths of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 p, and 1 a when three letters picked without replacement from upaepusspaueseuu?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101011 (base 2) to base 8.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 6522 and -1400 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + y + 31. Let k be x(0). Suppose 2*d + 36 = 6*d. Suppose -2*u - d = -k. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -16 - (53 + -141)) + -23?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/3*(21\/3)\/(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.335 + -0.221. Let z = -0.186 - h. Is z bigger than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1720*k - 31835 - 6005 = 0 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 5*p**2 - 4*p + 6. Suppose b - 35 = -2*b - 4*t, -2*b + 12 = -3*t. Let z = -15 + b. Calculate l(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 at most -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 + 4*k**4 + 0*k**4)*(0*k + 5*k - 3*k) - 15*k**5 + 22*k**5 + 42*k**5.\nAnswer: 61*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 85651 > -40\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3 + 3008*d**2 - 2052379*d + 2049372 = 0. Calculate d.\nAnswer: 1, 1044, 1963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -832 - 4.2?\nAnswer: -836.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 19*j**2 + 41*j + 23. What is i(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012271 is divided by 351?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**1)\/i)**(7\/12)\/((i**(-5)*i)\/i**(1\/6))*((i**(-2\/3)\/i)**(-25\/7))**39 assuming i is positive.\nAnswer: i**(4987\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3249, -6530, -9811, -13092, -16373?\n\"Answer: -3281*f + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-12)*c**(1\/6)*c)**(-13\/4)\/((c\/c**(-2))**9\/((((c\/(((c*c*c*c**6)\/c)\/c))\/c*c)\/c)\/c*(c\/(c\/c**(-5)))\/c)) assuming c is positive.\nAnswer: c**(-217\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73 and -19.4871.\nAnswer: 1422.5583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1507 - -1063. Let l = 219 + m. Let t be l\/(-12) + 3\/(-4). Calculate the highest common factor of t and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 8. Let q be d(6). Suppose -3 = -7*z + 137. Solve -z = q*h + 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p - 1. Let y be h(1). Let d be 5\/(350\/168) - 2\/(-20)*-4. What is u in -15\/4*u**y - 3*u**5 + 9\/4*u**3 + 15\/4*u**d + 0 + 3\/4*u = 0?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 11 = z. Let r be (-6)\/9*((-4)\/2 + z). What is the least common multiple of r\/(-24) + 71\/4 and 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z. Suppose 0 = 4*h + 3*u - u - 250, 2*u = 2. Let k = h + -60. Let m(n) = 2*n**2 + 28*n**2 + 3*n**k. Give m(f(x)).\nAnswer: 132*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcwrcggwgggrr. Give prob of sequence wgc.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1209 and 31837?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3087) + 3*sqrt(3087))\/(sqrt(18)\/(3*sqrt(2) - sqrt(2))).\nAnswer: 56*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 2. Let l be o(8). Solve 0 = 5*p + 3*j + 4 + 11, 2*p - 2*j - l = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**38)\/((f**(-28)*f)\/f)*(((f\/f**(-28))\/f)\/f)\/(f\/(f*(f*f\/(f*f*f**14))\/f)) assuming f is positive.\nAnswer: f**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is b4a3 (base 12) in base 6?\nAnswer: 231123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 18. Let a be t(7). Let u = 8 + a. Let b(m) = -m**2 - 8*m - 2. Calculate b(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 29 + 100 = 0. Let w = -39 - l. Suppose 4*a = -5*q + 81 + 86, w*q + 4*a = 132. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 + 4*l**2 + 3*l + 1. Let s be ((-4)\/5)\/(3\/(-15)). Suppose 2*n + 6 = s. Let x = -3 - n. Determine d(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 610 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70180 = -8*a - 833820. What is a rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z - 2*z + 10*z**3 - 7*z**2 + 3 - 8 + 1. Let h(b) = -b**2 - b - 1. Let q(o) = -5*h(o) + y(o). Is q(1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 84337.27t?\nAnswer: 84337270000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 7*b - 4. Let h be p(4). Let r(a) = -a**2 + 13*a - 9. Let z be r(h). Let j = -13 + z. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1253 is divided by 251.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 45*g + 12*g + 54*j - 15 = -16*g + 38*j, -3*j = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -197 + 55. Let d = 144 + j. Which is the second smallest value? (a) 8\/5 (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8742)\/(-15))\/((-45012)\/(-7260)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 26 + 1 - 150*c)*(-c**2 - 3*c**2 + 6*c**2).\nAnswer: -300*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*4\/4 + 11. Calculate the highest common factor of x and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20315, -20314, -20313, -20312, -20311, -20310?\nAnswer: -20309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3458\/(-39))\/(-38) - (-1 + 1). Do -159 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -0.4 (c) -1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10395 divided by 3?\nAnswer: -3465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 223062 and 668934?\nAnswer: 3552708474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n. Suppose 4*h = 4*k - h - 4, -4*h = -3*k + 3. Let w(v) = v**2 - 2*v. Suppose -4*o + 0*o = -40. Let l = o + -7. What is k*w(r) + l*y(r)?\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 18. Suppose p = -5*d - 1 - 4. What is the nearest to 2 in d, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2055*g - 4083*g + 2040*g + 7*g**2 to the form u*g + b + i*g**2 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = 0, -6*a - r = -a - 12. What is the remainder when 7 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -47. Let q be -6 - y\/(-3) - -18. Suppose i - q = 49. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -4*s - 3*u, 2*s = -5*u + 79 + 5. Let z = s + -4. Let q = -15 + 32. What is the remainder when z is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/2624 - (-695681)\/5152?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 5*v - 125, -506*v = 250*j - 511*v - 1110 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4879 rounded to three dps?\nAnswer: -1.488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9027\/(-40120))\/(6\/8).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 4*o - 21, 206 = -o - f + 212 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - 2 + 22 + 6 - 53*m - 2 + 63*m.\nAnswer: 5*m**2 + 10*m + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 + -0.4. Let s = -0.183 - -3.483. Let m = u + s. Which is the closest to -2\/3? (a) -0.5 (b) -2\/11 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 9) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 5285?\nAnswer: 5285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/12 - 4\/16. Let x be (2 - 3)\/(k\/3). Let u = 9 - x. Solve -8 = -4*j + 4*d, -4*d = -2*j - 2 + u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44380 * -0.11\nAnswer: 4881.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*a + 922 + 588 + 1482 = 460*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -4*d - 3. Let z(r) = -11*r - 8. Let t be (-5)\/(-35) - 236\/(-14). Let a = -20 + t. Let v(q) = a*z(q) + 8*w(q). Let l(b) = -b**2. What is v(l(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 79*q - 2997. Determine b(12).\nAnswer: -2049","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1179 + 0.3179. Which is the nearest to -1? (a) 0.4 (b) -6.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3 + 137*b**2 - 25*b + 9 wrt b.\nAnswer: -6*b + 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 720*c**2 - 11*c - 13. Let s(z) = -361*z**2 + 6*z + 7. Give -6*l(v) - 11*s(v).\nAnswer: -349*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 69980272 a multiple of 1377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 18*f - 5*f + 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*l + 14*b - 88 = -119*l, -3*l + 5 = 4*b - 8 - 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a day in hours?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20386618 - 59.357?\nAnswer: 20386558.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37708884*g**3 + 74082913*g?\nAnswer: 226253304*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*c + 31. Let s be 1\/(-2) + (-156)\/c. Let l be s\/6*6\/(-4). Solve 4*m = 3*n, 11*m = 6*m + l*n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a - 20*a - 102 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8745766804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 + 0)*(-3*v + 3*v + v) - 2*v + 3*v + 3*v)*(5 + 3*v**4 - 5).\nAnswer: 21*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -32.4. What is the nearest to -1\/2 in s, 4, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222433100 (base 5) to base 9.\nAnswer: -1758125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Let u(h) = h**3 - 3*h**2. Let s be u(3). Let g = t + s. Sort -1, g, 4 in descending order.\nAnswer: 4, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 194695?\nAnswer: 584085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q - 3. Let o(d) = -34*d**2 + 745*d + 65. Let i be o(22). Let c(a) = 1. Determine i*y(k) - 2*c(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 10:56 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -46 + 1 + (12 - 26)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/6993576 and 119\/6.\nAnswer: 6993576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1041 or 99?\nAnswer: 1041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -410*p + 1024. Determine g(3).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11282065 divided by 10\nAnswer: 2256413\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45836*v + 45841*v + 45826*v + 45836*v - 183340*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21220 (base 4) in base 6?\nAnswer: -2504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 244*v - 10559. What is q(-171)?\nAnswer: 1924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128712 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188, 163, 118, 53, -32, -137, -262?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6034 = -10*f - 5984. Suppose 0*u - 3*u = 0. Solve u = -3*s - j - 1, -4*s - f*j = -j - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 36 = -6. Let g(o) = o**2 + 11*o + 23. Let h be g(s). What is the closest to 1 in 21, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 70*q + 1270. What is o(-84)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 775037917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*s + 19*s - 15*s + (2 + 0 - 1)*(5 - 5 + s) to the form x*s + d and give x.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, 85, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/7, 2, -3, 4, 3\/5.\nAnswer: -3, 3\/5, 9\/7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + 16158\/(-54) + (-2)\/(-9). Let y = w + 102. Let h = y - -374. What are the prime factors of h?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.39 - -4.\nAnswer: -3.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 235, 36, -2, 4, -1 in descending order.\nAnswer: 235, 36, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 55, 41 in descending order.\nAnswer: 55, 41, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 129 and 781\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 n, and 1 d when three letters picked without replacement from {x: 1, a: 1, d: 1, p: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.823 * -23672\nAnswer: -19482.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - 2 - (0 + -3)*1. Which is the smallest value? (a) -3\/5 (b) y (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.46993ml in litres?\nAnswer: 0.06846993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 8:53 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 0*f, -3*z - 5*f = 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2065 and -0.1?\nAnswer: -206.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = 40*u + 5 - 122 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 89.56?\nAnswer: -179.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5389.68 and -3700.\nAnswer: -9089.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3, 2*d + 2*h + h + 15 = 0. What is the fourth biggest value in 10, -1\/4, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1915102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 82252*g - 82248.\nAnswer: -4*(g + 1)*(g + 20562)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6081, -6078, -6099, -6156, -6261?\n\"Answer: -2*y**3 + 17*y - 6096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**3*r**5 + 2*l**3 - 71*l**2*r**2 - 39*r**5 wrt r?\nAnswer: -60*l**3*r**2 - 2340*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.55 - -1.11. Let i = c + 0.44. Put i, -5\/3, 17, -0.5 in decreasing order.\nAnswer: 17, -0.5, -5\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 2 - (0 - 6). Let y be (2\/(-6))\/(2\/3). Let u = -4161\/4 + 4171\/4. Which is the closest to y? (a) -3 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 8*f + 4.\nAnswer: 4*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (615 - 621) + (1 - (1 - 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyinkwn. What is prob of sequence ink?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 8:43 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 - 6 = 0. Suppose 3*a + 5*o - 15 = 0, -v*a + 3*o + 29 + 30 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5, 4, 498 in ascending order.\nAnswer: 0.4, 4, 5, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 148257 and 197676?\nAnswer: 593028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - x + 292 = 293, 4*x = -5*j - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 8. Determine z(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 28*p**2 - 4*p - 21. Let b be g(28). Let n = b + 136. Let a(r) = -7 - 6 + r - r**3 + 18 - 4 - n*r**2. What is a(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u. Let a(f) = 219105*f - 2. Calculate h(a(y)).\nAnswer: -1095525*y + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2211076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44.35 - -44. Let f = a + -2.65. What is the second smallest value in 6, f, -1\/27?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 386 and 8?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 54705753 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**5 - 1001472*q**3 - 823977*q**2 - q + 2 wrt q?\nAnswer: -180*q**2 - 6008832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4 + 2*n**3 + 14*n**2 - 2*n - 12 = 0. What is n?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -554*i*o**2 + 8*i*x + o**2*x - 1034*o**2 + 4 with respect to i.\nAnswer: -554*o**2 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**0)*l)\/l*l)\/(l**(1\/20)*l))\/(l**1*l**(2\/7)) assuming l is positive.\nAnswer: l**(-187\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 less than 58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1839 (b) 1 (c) -1\/3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h**3 - h**2 - h + 7. Let n(o) = -o**3 + o**2 - o + 1. Let x(t) = -6*n(t) + 2*z(t). Let x(l) = 0. Calculate l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*m**4 + 2*m + 2*m**2 + 30*m**4 - 7*m**4 + 1 - 2*m**3 - 86*m**4 in the form l*m**3 + s*m**2 + r + i*m + o*m**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v + 15. Let d be b(-4). What is the third derivative of -d*a**2 + 16*a**2 + 7*a**6 - 28*a**6 wrt a?\nAnswer: -2520*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0026 * -7.\nAnswer: -0.0182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8289 by -112.\nAnswer: -8289\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 31*t**2 + 29*t + 33. Let y be a(30). Suppose -y*o = o - 10*o. Solve 6*m - 5*m = o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*s - 96*s + 58 + 119*s - 57.\nAnswer: -238*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. Let s be y*-3*(95\/(-15) + -2). Solve 3*r - s = 8*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -609*d**4 - 39063*d**3 + 11839*d**2 + 1475*d?\nAnswer: -14616*d - 234378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 3*l - 2. Let i be m(4). Suppose 0 = -i*v + 5 + 1. Solve 20 = z + v*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9272, -18370, -27286, -36020, -44572, -52942?\n\"Answer: 91*c**2 - 9371*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-524)\/(-66) - (-2678 + 2686)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1618718 and 20.\nAnswer: 16187180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*v - 55721 = 0, 5*a - 5*v - 56074 = 222551. What are the prime factors of a?\nAnswer: 7, 19, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - c - 15 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-866)\/12)\/((339\/(-3729))\/(4\/(-638))) + 5.\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3517.16 to the nearest ten.\nAnswer: -3520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 4*v**2 - 3 + 3*v**2)*(-2*v - 4*v + 4*v)*(-v**2 - v**2 + v**2).\nAnswer: -2*v**5 - 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1775347019 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 13*i. Let x(v) be the first derivative of -2*v**3\/3 + 32. Calculate f(x(m)).\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-11 + (-68 - (-15 + 2)) + 16).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + h - 2064 = 0. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-15)\/30)\/(4\/(-88)). Suppose -2*n + 1239 = -5*u, -n - 10*u = -j*u - 612. Is n a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y = 425 - 47 + 177 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 240\/(-840) - (-104780)\/14. Round a to the nearest one hundred.\nAnswer: 7500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 43.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2. Suppose -u = -2*u + 2. Let f(v) = u*v + 0*v + v. Give f(d(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-2))\/((-3)\/2). Suppose 3*s - l*k = -7, 2*s + 43 = -3*k - 2*k. Let y = s + 15. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 13*t - 35. Let w(a) = -13*a + 53. Let f(i) = 3*u(i) + 2*w(i). Let o(y) = 14*y + 2. What is 4*f(j) - 3*o(j)?\nAnswer: 10*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28583 (base 12) to base 9.\nAnswer: -84870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3237 or 1\/3?\nAnswer: -3237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22 + (3 - 25) + (-1)\/(8\/10). Which is the closest to -1? (a) q (b) -5 (c) -1\/8 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 5*r)*(157*r**3 + 27*r**3 + 64*r**3 + 68*r**3 - 8*r**3).\nAnswer: 1232*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3599704 is divided by 85707?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 - (77 + (-17 - 15))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 10*x - 64. Let i be p(6). Let f = -83.3 - -84. What is the closest to f in 5, i, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -151359 divided by 240\nAnswer: -50453\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f - 9 = 0. Let i be f*(2\/6)\/1. Let d(h) = -2*h**2 + 3*h. Let l(o) = -o. Let z(p) = d(p) + 2*l(p). What is z(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -21 + 24, 0 = -2*d - a + 951. What are the prime factors of d?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 512\/384*12\/2. Solve -18*r = -16*r - h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10210120120120 (base 3) to base 7.\nAnswer: 23106234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v**2 - 6*v - 4. Calculate the remainder when 162 is divided by i(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9067*b - 1026 - 11746 = 8655*b for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 19376?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -11*l**3 - 7*l + 5. Let f(k) = -5*k**3 - 3*k + 2. Let d(u) = 4*u - 1. Let p = -168 - -170. Let j be d(p). Determine j*f(x) - 3*w(x).\nAnswer: -2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10642838 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -125000 and -0.097?\nAnswer: 124999.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4 + 3*q**3 + 567*q**2 - 2187*q + 1620 = 0. What is q?\nAnswer: -15, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, -0.07, -1\/70?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 574*j*t**2*v + 1099*j*t**2 - 242*j*t*v - 7*j*t + 1 wrt v.\nAnswer: 574*j*t**2 - 242*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 8\/6 - 0. Let i = 224 + -225. Which is smaller: f or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/13 - (-9 - (-3 - 8)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 2*10\/2. Let f be -3 - (-6 + 4 + -4). Sort f, g, 1 in ascending order.\nAnswer: 1, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1981 and 287.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -29*t**3 + 8*t**2 + 2*t - 8. Let f(d) = 10*d**3 - 3*d**2 - d + 3. Determine -8*f(s) - 3*r(s).\nAnswer: 7*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 699*j - 2 - 366*j + 38 - 405*j - 149*j to the form o + y*j and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-270))\/((-6)\/(-18)*-1)*-15. Solve -112\/3*d + 4\/3*d**4 + 0 - 4*d**v - 32*d**2 = 0 for d.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10179*x - 2. Let r(j) = 2*j**2. Determine h(r(c)).\nAnswer: 20358*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 3*k - 402, 0 = 3*g + 10*k - 9*k - 388. Calculate the remainder when 30860 is divided by g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2. Let r(s) = -s**3 - 6*s**2 - 9*s - 2. Let t be r(-4). Let y(j) = -8907*j + 8907*j - 11*j**t. Determine y(u(f)).\nAnswer: -176*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -362, -1673, -3864, -6935, -10886, -15717?\nAnswer: -21428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvvv when four letters picked without replacement from vvvwnvvvvwwwvzwzzw.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*b + 3. Let n = b - -4. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4\/7 + 14004*c**3\/7 + 592797*c**2\/7 + 3122190*c\/7 + 2543400\/7 = 0.\nAnswer: -36, -5, -1, 4710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 - 4) + (-2)\/(-2). Let a be s\/(-4) - 4\/(-48). What is the nearest to -0.1 in -2, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 30131?\nAnswer: 30202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7122583\/3310527 + 2\/100319. Let l = -20\/11 + x. Determine w so that -1\/3*w**3 + l + 1\/3*w - 1\/3*w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4\/21))\/(z*((z\/(z**32\/z))\/z)\/z))**(-21) assuming z is positive.\nAnswer: z**(-668)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -6, -35, -64?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12709 - 12708.7. Let h = 2 - 1.94. Which is the third smallest value? (a) q (b) h (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1721, -1713, -1665, -1571, -1425, -1221, -953, -615?\n\"Answer: a**3 + 14*a**2 - 41*a - 1695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or -15.94?\nAnswer: -15.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7 + 2 = 0. Let o = 6 - d. Let p = -253 + 274. Solve -6 = -o*j - p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-8 - 1) + 3 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 8*d - 5*c - 10, 3*d + 2 = -c. Suppose -5*l = -5*z + 220, -z + 45 = -2*l - d*l. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/26474 and 41\/122.\nAnswer: 26474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2. Suppose -5*x + 44 + 120 = 4*l, -3*x + 92 = -4*l. Let g(y) = 32 - x + y**2. Calculate t(g(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 6*q = 4*m + 20, 3*m - 4*q = -16. Suppose 702 = -5*r + 8*r - 3*g, m = -2*r - 2*g + 480. What is r rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5246, 10491, 15736, 20981, 26226?\nAnswer: 31471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 726493362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1119 + 336 + 228 - 4*k + 301 to i + b*k and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/45, 30279, 0, 0.3?\nAnswer: 30279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 5 + (-4 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8862, -17707, -26522, -35301, -44038, -52727, -61362, -69937?\n\"Answer: v**3 + 9*v**2 - 8879*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 55 + 33. What is the greatest common divisor of 132 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 19. What is r in 3*r**o - 3*r**3 - 2*r**3 - 2*r**2 + 4*r**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4572 = 2954. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppt when three letters picked without replacement from {p: 1, e: 1, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**3 - 260*r**2 + 3746*r + 4004 = 0.\nAnswer: -143, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/26*(-1)\/3*145\/(-87)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1360*r - 13938 - 39102 = 0 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-42)*15*42\/(-2). Solve 9*w + m = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 20 = -0*o + d, -16 = 3*o + 2*d. Let m be (3 + 1)*30\/o. Let c be (-5)\/m*((-120)\/(-33) + -2). Is c < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 697426865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*m - 36*m - 75*m + 9*m - 24*m as k + y*m and give y.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 39*r - 3610. Give x(93).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 37762 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 + -2.97. Let o = -432 - -431.9. Which is the second biggest value? (a) -5 (b) q (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 751*f - 2*f**3 - 376*f - 375*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770636?\nAnswer: 2, 37, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*o + 17988072, -o + 1163949 = -5*a - 4832063. Let w = o - -103978. Round w to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 8:21 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-4)\/(-6))\/1)\/(116\/870). Suppose -a + 24 = f - c*a, -2*f = 4*a + 12. Solve -5*j + 20 = 5*o, -2*j - 4 = -f*o - 3*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z**2 + 0*z**3 - z**2 - 5 - z**3 in the form b*z + r*z**2 + m*z**3 + v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98.2 - -100. Let r = m + -1.798. Round r to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2327 >= -2327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4 + 4522*y**3 - 2263128*y**2 + 11202840*y = 0.\nAnswer: 0, 5, 738, 1518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023365586 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 28*a**2 + 4*a - 87. What are the prime factors of d(17)?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/201 and 113\/10?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11651 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 2)*(40078 - 40078 - 39*n**4) - n**4 + 0*n**4 + 0*n**4 in the form l*n**3 + f*n + h*n**4 + b*n**2 + c and give h.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -343 - -346. What is the least common multiple of 6 and (0\/b)\/(-7) - -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11670*y**2 - 11671*y**2 + 12 - 12.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*b = -6212, -79 = -6*b - 91. What is the highest common divisor of j and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*m + 3)*(-22*m + 9268 - 9268) as n + o*m + r*m**2 and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23106 = 45*w - 3396. Let m = 458 + w. Solve 10*i - 15*i = m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 70*h**2 + 3772*h - 3840.\nAnswer: -2*(h - 64)*(h - 1)*(h + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s + 4. Let t be a(-3). Suppose 0 = -u - 3*u + t. Find the second derivative of u*l**3 + 4*l - l**3 - 3*l wrt l.\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.63 - -0.33. Let y = -0.56 - -2.86. Let l = y + g. Sort 4, 0.6, l in descending order.\nAnswer: 4, 0.6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30604998, 61209998, 91814998, 122419998, 153024998, 183629998?\nAnswer: 214234998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5, 62, 245, 598, 1175, 2030?\n\"Answer: 9*n**3 + 4*n**2 - 8*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t - 3*t - 2 - 7 + 3. Let r(b) = -6*b - 7. Let u(l) = -6*r(l) + 7*z(l). Let p(h) = -2*h**2. Determine u(p(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, 8, 59, 162, 335, 596, 963, 1454?\n\"Answer: 3*a**3 - a**2 - a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -868 - 2.\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -13*j**3 - 17*j**2 + 104*j - 95. Calculate k(3).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.03 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.4487354 rounded to two dps?\nAnswer: 47.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 59589.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*u - 53, -2*u + 16 + 15 = j. Solve -5*c - j = -49 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvvvvvvvp. What is prob of picking 3 v and 1 p?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 276198753.4104 - 265116217.40983. Let q = -11082393 + x. Let s = -143 + q. What is s rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2. Let t(f) = 6*f - 3*f - 7*f. Calculate m(t(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.118 - 0.418. Let x = 0.06 - 0.16. Let y = x - -0.6. Which is the fourth smallest value? (a) f (b) 0 (c) y (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459, 468, 475, 480, 483, 484, 483?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + x. Let o be f(-1). Let s be ((-19)\/3)\/(o\/6). Suppose -b = -2*i - 14, -5*b + 2*i + 11 = -s. Sort b, -3, -2 in ascending order.\nAnswer: -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26004427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209525849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2302040 (base 7) to base 16\nAnswer: 45ee1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 330*x - 3802*x - 1454*x + 320190 for x.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(sqrt(209) + (sqrt(209) - -1*sqrt(209)))*-4)\/(1*1*sqrt(176)).\nAnswer: 2 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 5*f - 2. Let c be t(6). Let s(a) = -4*a**2 + 6*a - 2. Suppose -6*z + 11*z - 5*k = 0, -2*k = 4*z - 6. Let l be s(z). Sort -4, l, c.\nAnswer: -4, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360*a = -197*a + 55*a + 4016. Let m be (-2 - 0)*1\/1. Sort -3, 5, m, a.\nAnswer: -3, m, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 6*b = -3*x - 508, -b + 29*x = 32*x - 52 for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-13) - (-41)\/((-62361)\/(-54990))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 4\/11, -1\/32, -4?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1064 by -1.\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 1, -104, 2, 4, -3 in increasing order.\nAnswer: -104, -3, 1, 2, 4, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**4\/12 - 5*l**3\/9 + l**2 + 225. Factor r(b).\nAnswer: -b*(b - 1)*(b + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -100, 336, 3\/34?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 3*c - 23 = -5*g - 11, 4*g = -2*c + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1\/6 (c) 53 (d) -533\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 49*z**6\/120 - 7*z**5\/15 + z**4\/6 + 2*z**2. Solve u(r) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**4\/4 + 11*o**3\/3 - 19*o**2\/2 + 16*o + 631. Give a(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 840*m**3 + 628*m**2 - 220*m - 8 = 0.\nAnswer: -1, -1\/30, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 7*b**2 - 2*b - 14. Let u be g(-7). Suppose u = -5*n - 2*a + 60, 12 = -n + 2*n + 4*a. Calculate the smallest common multiple of n and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 - 5*m + 2. Let r(f) = -3*f**2 + 3*f - 1. Let y(j) = 4*l(j) + 7*r(j). Let g(v) = -v**3 - 6*v**2 + 5*v + 4. What is -g(a) + 4*y(a)?\nAnswer: a**3 + 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 8, -1 in increasing order.\nAnswer: -15, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, x: 1, c: 2, q: 5, i: 1}. Give prob of picking 1 c, 1 x, and 1 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -32*p. Let h(q) = 7109*q - 2. What is t(h(v))?\nAnswer: -227488*v + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5778 + -2684. Let r = -102112\/33 + a. Find the common denominator of (8 - 12)\/(-16) - (-434)\/24 and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 363 and 3509?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -2\/456021373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -73*r - 6396. What is k(-87)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(98)*-2 + -5 + -4.\nAnswer: -14*sqrt(2) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2031 + -158. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 + 89. Suppose -w + 18 = 2*m. Solve -2*v = 3*o - m - 7, 0 = -5*o + 5*v - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -3326681.\nAnswer: -3\/3326681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136699.\nAnswer: 1136699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 402 = -4*j - 118, 0 = -2*s + 4*j + 1032. Suppose 3*c - s = 274. Let g = c + -101. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*(-353625)\/11500.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 28*c**2 + 54*c - 60. Calculate f(26).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 - -0.8. Let m = 0.3 - g. Let u be ((-1551)\/(-121) - 10) + (-1)\/((0 - 3)\/(-9)). What is the second biggest value in u, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 433 + -452. Let w be 8\/15*3\/(-2). Which is the second smallest value? (a) w (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p**2 - 7. Let w(q) = -3*q**2 - 3. Determine -2*i(h) + 5*w(h).\nAnswer: -3*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/30 - 96\/10. Let u be (5\/b)\/(2\/(-72)). Let a be 3 - 3\/(u\/19). Is 1 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, b: 1, u: 1, a: 4, v: 5}. Give prob of picking 2 v and 1 b.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**3 - 16*q**2 - 25*q - 4. Let c(i) = 3*i**3 - 15*i**2 - 21*i - 6. Determine -3*c(z) + 2*d(z).\nAnswer: -z**3 + 13*z**2 + 13*z + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*s + 32*s + 3450 = 83*s. Solve 0 = s*m - 50*m - 100 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114549 - 116601 = -54*s for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Suppose 3*p = 6*p + i - 152, y*p - 140 = 5*i. Suppose -4*d = -p - 218. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -13. Let j = m + -6. Let o be 1*5\/(j\/(-3)). Let f(p) = -p**2 + p + 2. Calculate f(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29295\/2511)\/(((-4)\/16)\/(((-75)\/(-20))\/5))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.7 - 56.3. Let m = w - -61.6. Let a = 6 + m. What is the nearest to 0.1 in a, -1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18a - -8?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/1 - (-2 + 5). Suppose 5*c + 2 = 5*m - 18, -15 = -3*m. Let d be 5599999*(u + 1) + c. Round d to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 q when two letters picked without replacement from qqvvvvvvqkkqvv.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/(-12))\/(6\/8). Suppose -2*d + w = -26. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5042 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122181 (base 10) to base 12.\nAnswer: 5a859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113 + 2230403332?\nAnswer: 2230404000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-4*(sqrt(98) + -2) + sqrt(98) - 1*(sqrt(98) + (sqrt(98)*-2 + sqrt(98) - sqrt(98)))))**2*6.\nAnswer: -1008*sqrt(2) + 2568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, m: 2, d: 1, u: 5, t: 1}. What is prob of sequence duu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/3)*b)\/b*b*b*b)**(-48\/11)\/((b*b**(-5))\/b**(-2\/5))*((b**0)**(19\/3))**(29\/4) assuming b is positive.\nAnswer: b**(-602\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*j**5 - j**2 - 14*j + 5?\nAnswer: 1180*j**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -22*x + 0 + 0*x**2 - 11\/20*x**5 + 0*x**3 + 7\/12*x**4. What is the third derivative of l(v) wrt v?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 - (3 - (-33)\/(-12))\/((-117)\/(-936))\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**2 + 16047080*a - 28521905 wrt a?\nAnswer: -6*a + 16047080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*f - 12, 4*f - 11 - 13 = 4*m. Let o = 23 - m. Suppose -4*v = v + o, -61 = -3*g + 5*v. Calculate the highest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12035*d + 11073*d + 9620 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 1:02 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -17*q**6\/30 - 5*q**2\/2 - 5*q. What is the derivative of s(l) wrt l?\nAnswer: -68*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/2*(-12)\/(-270).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 44480818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*g - 11. Let b = 15251 - 15248. Let s(l) = -l**2 + 4*l + 2. Let m(r) = -r**2 + 3*r + 2. Calculate b*m(c) + g*s(c).\nAnswer: -c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**2 - 25*q + 70 = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 765*i**2 - 1565*i - 2325.\nAnswer: 5*(i - 3)*(i + 1)*(i + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.41 + -3.49. Let v = 6.2 + u. Let w = 7.6 - 1.6. What is the nearest to w in v, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z - 8 = -13*z. Sort 3, z, -2\/167.\nAnswer: z, -2\/167, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from {i: 1, e: 1, j: 2, k: 1, p: 1, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 42*b - 7. Suppose 0 = 43*o - 41*o + 4. Let n be u(o). Let a = 102 + n. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.561, -4, -3, 5 in increasing order.\nAnswer: -4, -3, 0.561, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 20. Suppose 35 = 4*i + 3*y, -4*i + 5*y - x = -3*i. Let s(t) = -2 - 3*t + 1 + i*t + 0*t. Calculate s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 9:38 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + -1 - -3 - (0 - -1). Let x = w + 26. What is 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 975.2 rounded to the nearest ten?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 21525008*w + 32. Let a be c(-4). What is a rounded to the nearest 1000000?\nAnswer: -86000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-35) + 7\/(-330) - 0. Let r = 6\/11 - i. Let j = 944\/7305 + 2\/487. What is the biggest value in r, j, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1176) + (-3*sqrt(1176) + sqrt(1176))*-4))\/((1*sqrt(84)*-2)\/(sqrt(567)*2 - sqrt(567))).\nAnswer: -1701*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 3*r**2 + 2*r - 2. What is p(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22553, 45107, 67661, 90215?\n\"Answer: 22554*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66.068 - 0.468. Let g = -65.6000545 + q. Round g to six decimal places.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(7128\/15818) - -16) + 24\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4354416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egevxgtttveexvxeet. Give prob of sequence ve.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3987, 7974, 11961, 15948, 19935, 23922?\n\"Answer: 3987*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000123829 rounded to seven decimal places?\nAnswer: -0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-580)\/50)\/(2\/(-10)). Let f = -73 + r. Let j be 60*((-12)\/f)\/2. Calculate the greatest common divisor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 - -16.96. Let j = 17 - a. What is the third biggest value in 1\/6, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*f = -6, -5*q + 6*f = 9 - 21 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*p = -4557, t - p = 4*t - 4557. Let s = 18239\/12 - t. Calculate the common denominator of -41\/10 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*u = 7*c - 8, -3*c + 2*u + 6 = 0. Suppose 0 = -c*v - 0 + 12. Suppose -2*n + v = -n. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1677.9998823 - -1678. What is g rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41837 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 295 + 41 = -4*r, -5*d - 2*r + 427 = 0. Suppose 4*u - 13 = -2*x + 5, -5*x - 2*u = -d. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 2*x. Let n be q(-2). Let y = -1 + n. What is the units digit of (0 + -13)\/(1*y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 + 13*n - 157. Determine m(6).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131 and 11236263.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2634 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -7*h**3 + h**2 - 16*h + h**2 + 6*h**2 + 6*h**3 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**6\/21 - 2*d**5\/5 + d**4 - 4*d**3\/21 - 15*d**2\/7 + 18*d\/7 - 111. Suppose n(k) = 0. What is k?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 11*l**2 - 20*l + 6. Let h be o(8). Calculate the highest common factor of h and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2855 + 30902. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42035627 or 42035626?\nAnswer: 42035626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**5 - 4*o**4 - 138*o**3 + 6709*o wrt o.\nAnswer: -20*o**3 - 48*o**2 - 828*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -42288 - -100\nAnswer: -42188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 949211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/5)\/(-5*(-16)\/200)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 6*a - 5. Let x be o(4). Suppose 0*b = x*b. Let j = -1480\/209 - -138\/19. Do j and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q - 3*q - 1742 + 1742.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 - 71. Let f(m) = -7211*m - 43266. Let t be f(-6). Sort s, 2, t in decreasing order.\nAnswer: s, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tti when three letters picked without replacement from {t: 7, i: 12}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54 + -4*(3 - 26\/8). Calculate the greatest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -4*g + 35, 2*w + 5*g + 89 = 0. Let j be (925\/(-30))\/w*(-3)\/10. Let h = 11.6 + 0.4. Is h != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000033974903 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -17. What is the least common multiple of k and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1485 and 4606620?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqw when three letters picked without replacement from {w: 4, q: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2180)\/(-42) - -1 - 214\/(-2247). What is the second derivative of 105*d**3 - 23 - d + 69 + j + 93*d**3 - 5 wrt d?\nAnswer: 1188*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5\/4)*q**(-3\/4))\/(q**2*q*q**(2\/25)\/q)*q\/(q\/(q**(2\/23)*q))*q**(2\/5)*(q*q**5*q*q)\/q**(-3) assuming q is positive.\nAnswer: q**(4834\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -145011 - 3?\nAnswer: -145014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12359, 12360, 12361?\nAnswer: 12362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:13 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nszkfmm. What is prob of sequence kf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*2*(sqrt(156) - (sqrt(156) - 4*sqrt(156)))\/sqrt(12).\nAnswer: -2 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 - -104. Suppose z*i - 326999994 = 2*t, 2*i + 11*t - 7*t - 130800012 = 0. Suppose 0 = -9*w + 3*w + i. Round w to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 14 + (13 - 12). Let g = t - 5. Let f be g\/36 - (-2281)\/(-4). What is f rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t - 4*s = -25*t + 32, -2*t = -2*s - 18 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 1 + 11. Let s be (-6)\/(-15) - 196\/v. Calculate the highest common divisor of 50 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - (10 - (1 + 11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*m + 272*m - 544*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -718.32 + 701. Let b = c + 17. Let d = -4.32 - b. Sort 3\/2, -0.3, d in decreasing order.\nAnswer: 3\/2, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4631.2 + -4631.8. Suppose 2*a - 12 = -a. Let p = -25 - -28. What is the nearest to x in p, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1481*z**5 - 12*z**3 - 43071*z**2?\nAnswer: 88860*z**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*w + 3 - 7 = 0, -5*v - 4*w = 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, e: 1}. Give prob of sequence ekk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**3\/3 + q. Let l(t) = 3*t**2. Determine a(l(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11b1a10 (base 13) in base 2?\nAnswer: 10101000010101110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*l - 2*a, 0 = -4*a. Sort -3, l, 3, -1 in ascending order.\nAnswer: -3, -1, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 - 3*j - 1 + 3 + 2. Let q be a(-3). Let y = -0.1 + -0.1. What is the second smallest value in y, -0.3, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b - 14*b - 6331 = -5761 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1197954397 - 0.119803. Round o to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219982 and 36106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1027\/407 + -16\/37. Let r be 2\/5 + 6797\/70. Let f = -101 + r. Find the common denominator of b and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 3 + -3 - 0. Let f be 1*((-1)\/(-1) + s). Let b be 240005\/10 - f\/4. Round b to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 3*q**2 - q + 4. Let h be f(-3). Let x be 346\/14 - (-2)\/h. Let s = x + -9. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 6:19 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 95. Let o = x + 175. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 16, -2*q + 5 + 7 = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 177607 and 6208.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g + 2. Let f be o(2). Let i(c) = c**2 + 4*c + 4. Let p be i(f). Let d be 21\/6*(-4)\/14*-2. Are d and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 2, k: 2, p: 1}. Give prob of sequence qq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114159407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 - 12*p**2 - 13*p + 14. Is o(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 4*v**2 - v**2 + (0*v + 3*v - 8*v)*(-4*v + 4*v + v) - 4*v**2 + 9*v**2 + 2*v**2 - 35*v**2 - 2486 + 2486.\nAnswer: -34*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 396 - 401. What is the closest to -1 in 0.13, 4, m?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a. Let c(o) = -6*o**2 + 3*o. Let n(r) = 5*r**2 - 2*r. Let u(k) = 2*c(k) + 3*n(k). What is v(u(t))?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 1998615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-3\/4)*t))**(-1\/39))**(2\/3) assuming t is positive.\nAnswer: t**(-1\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 1370260*t - 27403600.\nAnswer: -4*(t + 20)*(t + 342545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*h**4*j + 33*h**3*j**2 + 43*h**2*j - 11*j**2 wrt h?\nAnswer: 288*h*j + 198*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*s - 3 = 0, -2*s - 3 = 4*f + f. Let l = 5491\/175 - -4\/175. Let c = -1084\/35 + l. Is f less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 24 = -76. Calculate the highest common divisor of 314 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 6*w - 3. Let u be v(5). Let f(b) = 3*b**3 + 0*b**u - b + 4*b**2 - 2*b**3 + 0*b. What is the least common multiple of f(-4) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s + 4. Calculate r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -23. Suppose -7*j - 2*b + 213 = -2*j, b + 37 = j. Let w = j - y. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 44 = -124. Let t be r\/(-44) - 2\/(-11). Let q(z) = -z**t + 155 - 155. Let u(w) = 2*w**2. Give u(q(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 6:02 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h - 15. Suppose -8*q + 9*q = 7. What is the remainder when (-11 + 1)*(-6)\/h is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 3*y**2 - 7*y + 7. Let l be v(9). Let n = l + 3109. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 13, 114, 321, 670, 1197, 1938?\nAnswer: 2929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + 1230134330?\nAnswer: 1230134342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26459, -37446, -48433, -59420, -70407?\n\"Answer: -10987*j - 15472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 10 + 2. Solve 0*y - 3*y + x = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467672 to the power of 1\/2, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 151 (b) 0.196 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-14) + (-32)\/(-14). Let n = -1 + c. Suppose 4*r - 154 = -2*p, n + 70 = 2*r - p. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 7*m**2 + 795733*m\/2 + 28419 = 0?\nAnswer: -56838, -1\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9369.83 nanoseconds in microseconds?\nAnswer: 9.36983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -3 + 13 + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**4\/90 - 31*s**3\/45 + 2*s**2 - 259*s. Factor j(m).\nAnswer: 2*(m - 30)*(m - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*p = 3*p + 23, -2*p = -4*f + 22. Let l be (-5)\/(-2)*f\/5. Let q = 83949 - 83949. Solve -2*i - l*i - 25 = q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 6*q**2 - 2*q - 4. Give i(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 3. Let r be -1*0\/(-2) + j. Suppose r*q - 12 = -0*q, 3*q = -3*z + 78. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(105)\/(sqrt(3)*1))\/(sqrt(252)*2 - sqrt(252)) + -5.\nAnswer: -4 + sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1. Let r be h\/7 - 4134\/14. Is r\/(-10)*14*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1 + 1 - 5 - k + k**2 + 6 + 2*k**3. Let x be n(1). Is 2\/(2\/39)*x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzllzlzlzz. What is prob of sequence zz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**6 + 2*p**5 + 19*p**4 - 14735*p**2 wrt p.\nAnswer: 360*p**3 + 120*p**2 + 456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1)**12)**(-22))**(-3\/10) assuming c is positive.\nAnswer: c**(396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 431\/4 + -2147\/20. Let q = -6.4 - -6. Put 0, q, t in increasing order.\nAnswer: q, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120773897 divided by 120773897\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 15 = 3*d, 7*d - 5*d - 10 = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 - 6*b - 5*b - 7*b**2 - b**2 - b**2 + b**2 + (-2*b + 0*b + 3*b)*(-b + b + 2*b) as o*b**2 + n + d*b and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (0 + 7 - 13)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 149661 and 346964085?\nAnswer: 1040892255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-18))\/((-12)\/18). Let i be 174\/(-45) - (-20)\/(-150). Let j be -2 + 0 - 21\/(-9). Which is the nearest to 0.2? (a) t (b) j (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -10\/9 (c) 2\/3 (d) -3\/8 (e) 2\/11 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, h: 10}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 1 - 1)*(0 - 1 - 17) as a*h + t and give a.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from hpsqt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2945280, -2945604, -2945928?\n\"Answer: -324*t - 2944956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ara when three letters picked without replacement from raaa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 23*p. Suppose 0 = -5*l + 4*l + 10. Let u(h) = 2*h**2 - 23*h + l*h + 13*h. Calculate u(x(s)).\nAnswer: 1058*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -23. Let s be (-18)\/63 + (-3)\/(-7). Which is the closest to -1\/4? (a) 5 (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-25)\/(-10) - 3) + (-45)\/(-2). Let j be (-114)\/22 + 4\/c. Suppose -m = 3 - 6. Put m, 6, j in decreasing order.\nAnswer: 6, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 268*d**2 + 318. Let s(k) = 2950*k**2 + 3500. Let t(r) = 65*o(r) - 6*s(r). What is the derivative of t(y) wrt y?\nAnswer: -560*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 790660 is divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 95*z + 24*z + 283. Let t = -466 + 307. Sort 1, z, t.\nAnswer: t, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 28. Which is smaller: j or 2\/1519?\nAnswer: 2\/1519","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*i**3*u**2 + 1559*i**3*u + 2*i**2*u**2 - 755*i**2*u - 3*i + 4*u**2 wrt i?\nAnswer: 168*u**2 + 9354*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*b + 43 = 0, -4*s - 2*b + 15 + 15 = 0. Let v = -53 - -162. Let l = 125 - v. What is the lowest common multiple of s and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 5:57 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4*((sqrt(204) - -2*sqrt(204))*6 + sqrt(204)))\/(sqrt(12) - (-1*sqrt(192) - sqrt(192)) - ((-1*sqrt(192) - sqrt(192) - sqrt(192)) + sqrt(192))).\nAnswer: -76*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgcg when four letters picked without replacement from {g: 10, y: 2, c: 2, a: 1, u: 1}?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -3*t**2\/2 + 2*t + 2. Find the first derivative of x(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000110011 - 10001110?\nAnswer: 11110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyoyyo. What is prob of sequence yy?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 241687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49423, -112858, -176293, -239728?\nAnswer: -303163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**4\/24 + 2*v**2 - 11*v - 91. Let k(o) be the second derivative of s(o). Let a(c) = -11*c**2. Give k(a(l)).\nAnswer: -11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**4\/12 - 8*a**2 + 1. Let y(d) = -d**3 - 8*d**2 + 9*d + 4. Let z be y(-9). List the prime factors of i(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224590537 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28 and 87.875?\nAnswer: -2460.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.19 + 1.19. Which is greater: 0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -11284, -5.\nAnswer: -11284, -16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4360238359 rounded to 4 decimal places?\nAnswer: -0.436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssw when three letters picked without replacement from {f: 2, w: 3, s: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57903, 57326, 56749?\nAnswer: 56172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7 (b) -2\/7 (c) 0.3 (d) -502\/7 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1378462 and -0.4.\nAnswer: 1378461.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 7*t + 11. Let p be m(-8). Let h be 0\/(-2) - (p + -5). Solve -2*i - 2*i = -l + 15, h*l + 22 = -5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2733 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127 + (-10)\/(-2) + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/6)\/(51\/459). Suppose -4*s = -3*n + 3, 0*n + 3*n = 2*s + 9. Solve t = -3*d + 12, -3*f = 5*d - s for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 5*y + 4*y - y. Let j(q) = -38*q - 22. Let u(n) = -5*n + 2. Let m(x) = -j(x) - 11*u(x). Calculate m(l(b)).\nAnswer: 186*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 545523 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 8) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, l: 3, y: 4, n: 2}. What is prob of sequence nmm?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7868 = 20*y - 1752. Calculate the highest common factor of y and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111011 - 1?\nAnswer: 1111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.2*-17.\nAnswer: -258.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n - 25. Let z(j) = -22*j**2 - 418*j - 295. Let o be z(-4). What is the greatest common divisor of o and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4 - p**3 - p**2 + p = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1, -0.3, 0.95, -0.047, -2\/7, 1\/2, -19?\nAnswer: 0.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6225311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqahgaqqoaoqaaqaqh. What is prob of sequence ga?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -8) + (-356)\/118. Let z = n + 179\/118. Which is the third biggest value? (a) 18 (b) 3 (c) 1\/3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 6*a**2 + 7*a - 5. Let m = 154 + -155. Let d be (51 + -63)*m\/(-3). Determine r(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 175*m - 2438. What is the remainder when r(17) is divided by 68?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 15*a**2 + 16*a + 31. Let q be f(-14). Suppose 3*j = -j + 20. Let -j*z**5 - 3*z**4 + q*z**5 + z**4 = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 + 7*a\/2 + 49\/4.\nAnswer: (a + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -90, -102, -124, -162, -222, -310?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -18*v + 50 + 179. Calculate the lowest common multiple of v and 616.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b + 1997 = -6297. Suppose 0 = -21*n - n + b. What is the remainder when 106 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 70.265 (b) 14 (c) -2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-15)\/12)\/((-21)\/(-14))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 2*n + 19. Let s = 58 + -31. Suppose -5*h = -3*d + s, -3*h - 7 = -4*d + 18. Let p be o(d). Sort p, 5, -32 in decreasing order.\nAnswer: 5, p, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6, -0.038, -1, -2\/17?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/6 and -23\/3780963?\nAnswer: 7561926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -63, -82, -113, -156, -211, -278?\n\"Answer: -6*r**2 - r - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54945492?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 1. Let u(t) = 5*t + 8. Let p(w) = -6*k(w) + u(w). Let h be p(3). Let q = h - -3. Sort 3, q, 4 in decreasing order.\nAnswer: 4, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 - 5 = 0. Suppose q + 4 = m. Let g(t) = -8*t**3 - 2*t**2 - 2*t - 1. Let c be g(-1). Calculate the highest common factor of m and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 3*s. Let i be (-1)\/(-2 - (-18)\/10). Suppose l - 2 - i = s. Solve -4*u - 21 = -5*f + l, 14 = 3*u + 5*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 48?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, u: 1, c: 1, q: 2, v: 10}. Give prob of sequence dudc.\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, o: 12}. What is prob of picking 3 o?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-6) + 440\/24. Suppose b = 2*j + 4. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 4. Let y be x(-4). Suppose c + 0 - 1 = y. Let b(l) = c + 7 + l**2 - 2*l + l. Give b(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 1:00 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 4, 2\/2617?\nAnswer: 2\/2617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmmmemmmmmmm. What is prob of sequence mmm?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.37 - 0.07. Let i = -28.58 - 0.42. Let s = 34 + i. Which is the biggest value? (a) p (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 f when two letters picked without replacement from gffhxfffhfffhf?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59\/295)\/((-7)\/(-5))*-2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232 - 2*q - 4*q + 232 + 5*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 363*h - 26. What are the prime factors of u(1)?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.0372 (c) -5 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 8, q: 7, d: 1, w: 1}. What is prob of sequence qqcq?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 21*t**2 + 2*t - 4. Let a(q) = -156*q**2 - 15*q + 30. Let f(w) = 2*a(w) + 15*l(w). Let v(y) be the first derivative of 29*y**2\/2 + 2. Give v(f(d)).\nAnswer: 87*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*a - 24*a - 35*a)*(-2*a**2 + 3*a**2 + 0*a**2).\nAnswer: -104*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30611 = 6*b - 13*b. Let p = b - -2613. Let q = p + 17621\/10. Calculate the common denominator of -22 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxo when three letters picked without replacement from {x: 3, b: 3, p: 2, o: 3, i: 3, j: 3}.\nAnswer: 9\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 59, -8, 0, -12, 1 in increasing order.\nAnswer: -12, -8, -1, 0, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Let u(b) be the third derivative of -41*b**5\/60 + 13*b**2 - 1. Give i(u(z)).\nAnswer: -82*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -202 + 202. Let f = 35 - 41. Which is the nearest to 0.2? (a) x (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 15*f**2 + 35*f + 6. Let z be d(9). Let u = 1536 - z. Factor -6\/5*q**3 + 39\/5*q**5 + 33\/5*q**4 + u*q**2 + 0 + 0*q.\nAnswer: 3*q**3*(q + 1)*(13*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -56?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*u + 25*u = 56*u - 8 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*z = 334*z + 1440. Suppose 3*i = -0 - 9. Sort -5, i, z in decreasing order.\nAnswer: i, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 - 109*x**2 + 109*x**2 + 3 + (0*x**2 + 0*x**2 - 2*x**2)*(2*x - 4*x + 3*x).\nAnswer: -x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/12 + (-1325)\/(-1060) - 2\/((-6)\/153)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-14)*b*b**(2\/9)*(b*(b\/b**(-1\/7))\/b*b*b)\/b**(-2) assuming b is positive.\nAnswer: b**(-481\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.8 + -6. Suppose 0*a = -a - 1, 4*a - 8 = -3*i. Let w = -2.7 + 3.7. What is the closest to w in -2\/17, i, k?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33147106 by 41.\nAnswer: 808466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 7:15 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*s + 42368 = 86*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/453117 and 2\/3087?\nAnswer: 66608199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.711 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 0 + (-7 - 0 - (61 + -71)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 198336203*d**2*l**2 - 219737628*d**2 wrt l.\nAnswer: 396672406*d**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87 + 64 + 196)*(23 + 20*s - 23).\nAnswer: 6940*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 24*r**3 + 8*r**2 + 32*r - 118. List the prime factors of n(5).\nAnswer: 2, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -622051, -622047, -622041, -622033?\n\"Answer: w**2 + w - 622053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 385, 745, 1069, 1339, 1537, 1645, 1645, 1519?\n\"Answer: -3*p**3 + 381*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (106\/6148)\/((-89)\/(-267))?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) 708 (c) 1 (d) -0.3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 1037?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.168 + 1.907. What is k rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 1. Suppose 6*z + 24 = 48. Suppose -16 = -3*l + 5*a - 17, 0 = -5*l - z*a + 60. Give p(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**4\/12 - 5*n**3\/6 + 3*n**2 + 14*n + 2. Give b(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 363\/655 + 6\/131. Which is the third smallest value? (a) w (b) 2\/13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 + -77. What is the smallest common multiple of 34 and l?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/943 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, e: 2, g: 5}. What is prob of sequence eghg?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 590 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 10. What is the units digit of j(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 4 + 4 + -25\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 0)*(2*v - 2*v + v**2) + 128*v**2 - 63*v**2 - 66*v**2 - 3*v**2 - 2*v**2 + 0*v**2 to r*v + w + y*v**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265 - 128 = -3*t. Let l = t + -51. Suppose -2*n - 2*n + 55 = -5*v, 3*v + 59 = 5*n. What is the highest common divisor of l and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -46. Let y be 1*(x - 37)*2. Let l = 81 + y. What is the remainder when 11 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.9 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 5*i**3 + 3*i**3 + 2*i + 1. Let n(g) = -g**3 + g. Let m(v) = -5*n(v) + 5*t(v). What is the derivative of m(y) wrt y?\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1520 is divided by 535.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217*f**2*w + 175*f*w wrt f.\nAnswer: -434*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477233341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 982.38 and -88.5.\nAnswer: 893.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 897 by 1.\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-238)\/(-4641) - (-698)\/78?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 10 + -4 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (174\/(-21))\/((-56)\/(-196)). Suppose g + 6 = -g + d, -5*g - 2 = 4*d. Put 3, g, q in increasing order.\nAnswer: q, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/4 + 6\/(-12). Solve w + 4*w = t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(-3)\/(-2)*-1. Suppose -f*p + 5 = -2*p + b, -7 = -2*p - 3*b. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqtqts. Give prob of picking 3 q.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 23. Let j = d + 32. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 7*i - 1. Let d be v(7). Let j = 0 - d. Find the first derivative of -j + 5*w**2 + w**4 - 5*w**2 wrt w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -45*d**2 + 18*d. Let n(h) = 44*h**2 - 19*h. Let m(f) = -6*c(f) - 7*n(f). Find the second derivative of m(q) wrt q.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20877 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 99050 divided by 9905\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -584 + 349. Let z = 332 + t. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11*b - 2. Let y(j) = j. Let h(f) = 3*o(f) - 24*y(f). Is 10 a factor of h(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 4. Let g be t(7). Suppose 0 = -4*f + a + 39, g*a + 29 = -0*f + 4*f. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5947828755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is c35 (base 14) in base 11?\nAnswer: 1891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, s: 10}. Give prob of picking 2 s.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 5:54 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-6\/13)\/v*v*v**(-5\/3) assuming v is positive.\nAnswer: v**(-83\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 4.2, -2, 2\/5, 39, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*y - 18*y = -29*y - 3435 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206 by 2.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/191, -15, 1, -47 in ascending order.\nAnswer: -47, -15, 2\/191, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 53*d**2 - 648*d + 89. What is b(-34)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -176240 (base 10) to base 11\nAnswer: -110459","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve 478*p + 13132 + 12202 = 0 for p.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(1 + (sqrt(117) - ((sqrt(117) - (sqrt(117) - (sqrt(117) + 1))) + 3)) + -1 + (sqrt(117) - ((-2 + sqrt(117))*-6 - sqrt(117)))))**2.\nAnswer: -6192*sqrt(13) + 69241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6042, -10675, -15308, -19941?\n\"Answer: -4633*b - 1409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/24*(-3 + 4))\/((-9)\/(-12)). Which is the closest to -6? (a) y (b) 2\/19 (c) 2 (d) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 5:48 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9755.4 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + 2. Let t be r(4). Let g be 1*((-76)\/(-18) + (-4)\/t). Suppose 0 = -m - 2*b - 5, -b - 3 = -5*m - g*b. Solve a + 0*d = -2*d, 2*a = -d - m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171035235 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 6*d + 3*i + 30, 4*i = 5*d - 5. Sort 1, d, -6, -2.\nAnswer: -6, d, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by (-7462)\/(-451) + 6\/(-11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**3 - 5*f**2 - 7*f - 13. Let u be d(-3). Suppose u*a - 60*a - 66 = 0. Calculate the least common multiple of a and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/5 - 0\/(-1). Let i(j) = 0*j**x - j**2 - j**2. Let y(f) = f. Determine i(y(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4447 or -4446?\nAnswer: -4446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(175)*-4 + 2)*2.\nAnswer: 4 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 83 = o - 2*o, 3*o + 89 = 4*u. Suppose m = 3*m - 10. Calculate the highest common factor of m and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssbe when four letters picked without replacement from {s: 2, j: 1, p: 1, b: 1, e: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -808*f - 33879 = -85*f + 750*f for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-95*z**5 + 168*z**5 - 756*z**5)*(3 - 5 + 4) + (-z - z + 4*z)*(-z**3 - 2*z**4 + z**3) + z**4 - 2*z**5 - z**4.\nAnswer: -1372*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**4)\/(x**(2\/15)\/x)*x*x**6\/x*x\/(x*x\/x**0*x))\/((x**(-4\/7)*x**(2\/9))\/(x**(-6\/5)\/x**4)) assuming x is positive.\nAnswer: x**(316\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91046 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -4*a, a - 5 = -2*g - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 1\/6*i**4 + 1\/60*i**5 + 0*i + 34 + 1\/2*i**3 + i**2. Factor m(p).\nAnswer: (p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -218191 divided by -2\nAnswer: 218191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 5241*t**2 - 2358120*t + 59907600.\nAnswer: -3*(t - 860)**2*(t - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/132*42264\/(-24654)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**2. Let z(u) = u**2 - 5*u + 6. Let k be z(4). Let q(r) = -18 - 3*r + k*r + 18. Calculate q(b(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhyykyhhyy. What is prob of sequence yhy?\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -666.8 from -35880706660.\nAnswer: -35880705993.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -3*b**3 + 2*b - 29. Let j(o) = -8*o**2 + 2. Determine 5*g(x) - 6*j(x).\nAnswer: 3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 195245079 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**4 + d**2\/2 - 19. What is the second derivative of y(x) wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80746 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v - v)*(-57*v + 97*v - 42*v - 337).\nAnswer: -2*v**2 - 337*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 773 and 769 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 63 - 131 + 92 - 66 - 16*a.\nAnswer: -16*a - 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(56)\/sqrt(8)))**2 - 6*(sqrt(19) + -2) - (sqrt(190) + -3*(-1*sqrt(190) + sqrt(190)) - sqrt(190) - sqrt(190))\/(sqrt(100)\/(sqrt(10)*1)).\nAnswer: -5*sqrt(19) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 68*d + 2026. Let g be f(0). Is 2026 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o**2 + 286538*o + 107454 = 0. Calculate o.\nAnswer: -3\/8, 17909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/35074234 and 7\/101812?\nAnswer: 70148468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s + 188*s**3 - 29*s**2 + 46*s**2 + 1055*s**3 + 1629 - 23*s**2 wrt s?\nAnswer: 7458*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*t**3 - 51*t**3 + 2*t + 2*t**4 - t**2 + t + 61 + 22*t**3 + 12*t**3 in the form j + m*t + a*t**3 + r*t**2 + p*t**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(48\/(-12)))\/(4\/((-32)\/3))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022203 (base 4) in base 11?\nAnswer: -118a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/9 + 9381295*x\/9 = 0. What is x?\nAnswer: -9381295, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*q = -c - 48*q + 19, -2*c - 3*q - 17 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 687*p - 2*p**3 - 19038*p**2 + 19161*p**2 + 303*p + 5*p**3 = 0.\nAnswer: -30, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110220 + 121210012?\nAnswer: 122021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(90\/15) - 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1798420)\/41502*2\/4*3\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -194 - -191. Is (5\/x)\/((-18)\/18198) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2924, 3957, 5002, 6059?\nAnswer: 7128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6640.618 nanoseconds?\nAnswer: 0.006640618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 56?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42630586.\nAnswer: 2, 37, 576089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*p*w**2 + 6*l**3*p + l**3*w + 6*l**2*w - 3*p*w**2 wrt l.\nAnswer: 6*p*w**2 + 36*p + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202220573?\nAnswer: 202220573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 953738?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-1106)*(-105)\/9*(-24)\/40.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - 1. Let q be 3 + 3\/((-9)\/g). What is the third derivative of 2*m**2 - 3*m**5 + 3*m**5 - 2*m**q wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u + 6*u - 12*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -14*h**4\/9 + 970*h**3\/9 + 3478*h**2\/3 + 24590*h\/9 - 7900\/9 = 0?\nAnswer: -5, 2\/7, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 274 - 271. Let x = -143\/230 + 1\/46. Let g = -1085 + 1085.37. Put -0.1, m, x, g in descending order.\nAnswer: m, g, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**3 - 2*d**2 - 6*d + 3. What is x(3)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, i: 4, x: 2, p: 3}. What is prob of picking 1 i and 1 p?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 40*m + 275. Determine w(10).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 737 - 199. List the prime factors of f.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5232, 9456, 13680, 17904, 22128, 26352?\nAnswer: 30576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 581 divide 779756413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 0 + 3*d - d.\nAnswer: 2*d - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*h**2 - 3*h**3 - h**3 + 3*h**3.\nAnswer: -h**3 - 118*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 112 (base 6) to base 10\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (156\/30)\/((-1)\/15). Let s be z\/(-66) - (-2)\/(-11). Find the first derivative of -3 - 5*f**3 + 0 + s wrt f.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x. Let m(t) = 102*t**2. Calculate m(y(a)).\nAnswer: 4998*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*d + 31 = 4*k, -3*k + 4*d + 12 = 0. Let g = -3 + k. Suppose 5 = -0*a + a. Solve g*r - 10 = -a*z, -r + z - 6 = 6*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z - 21. Let x be h(-17). Let d = x - 37. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 16837*k. Let z(r) = -r. Determine z(g(u)).\nAnswer: -16837*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*l - 2*x, 0*l + l + 4*x = 14. Let d(o) = -4*o - 7. Let i be 1\/((-16)\/12 - -1). Let p be d(i). What is the nearest to l in p, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 103*c**2 - 173*c - 418. What is the hundreds digit of s(106)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 6*w**2 + 7*w + 2. Let d be l(7). Let o be d\/4 + (5 - 5). Let g be 18\/15 - (0 + 1). Which is the closest to -1\/2? (a) g (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/9, -5, 19\/196?\nAnswer: 19\/196","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 16 + 0)*(-5 + 2 + 1)*(4 + 2*d - 4)*(-6*d**2 + d**2 + 3*d**2) as q*d**3 + l*d**2 + p*d + c and give q.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - l + 20, -2*j + 2*l - 22 = -6*j. Which is the smallest value? (a) -0.4 (b) j (c) -2\/9 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j + 40 = -2*j. Let m = -65 - -67. Let x be (-15)\/13 + (-4 - -5). Which is the smallest value? (a) x (b) j (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1\/4, 4, -0.019, 2 in descending order.\nAnswer: 4, 2, -0.019, -1\/4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41163.\nAnswer: 3, 13721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-3 + 2)\/(4\/(-14)). Let o be -2 + (3 + y - 6). Factor 0 + 0*h**o - 1\/5*h + 1\/5*h**3.\nAnswer: h*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 2*g + 13, -3*h + 5 = 2*g - 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-60)*(-185)\/(-222)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 1 - (-12 + -7 + 4 + 8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + sqrt(18) + 0.\nAnswer: 3*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 800 - -3642. What are the prime factors of g?\nAnswer: 2, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 615207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 27*l + 34. Determine u(-4).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 - 88 + u**3 + 8*u - 210 as n*u**3 + a*u**2 + w + v*u and give w.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43348403.\nAnswer: 7, 6192629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1052422 + 1?\nAnswer: -1052421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 206 times -4\nAnswer: -824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378540962?\nAnswer: 2, 107, 353, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -369486 by 20527.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {o: 1, j: 1, h: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 - ((8 - 11) + 2) - -8. Solve -w*t = -c + 3, 6*c - 12 = 5*c + 5*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 1. Let r(p) = 12*p + 90. Let t be r(-8). Give n(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -62.986958\nAnswer: -125.973916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 33*h - 12. Does 9 divide b(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - v = -10, -2*x + 6*v = 4*v - 12. Suppose x*p = 2 + 10. Is p equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*s + 12 - 44 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -5 (c) 2833.5 (d) 758\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**40)**(-2\/117)\/(k\/(k\/k**(4\/3))*k**24) assuming k is positive.\nAnswer: k**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*x**2 - 7*x + 61*x**2 - 199*x**2 + 20*x**3 + 1 + 78*x**2 to the form g*x + h*x**2 + p*x**3 + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a74 (base 11) to base 3.\nAnswer: -10121010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 24. Let j be (-2 + 1)\/(k\/(-15)). Suppose -4*p + 3060 = p + 5*x, 0 = -j*p + 2*x + 3067. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + 26. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 54, 2, 1\/7, 5, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 4:25 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, -1809, 3, 1, -4 in descending order.\nAnswer: 88, 3, 1, -4, -1809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 174*v + 1226. What is m(-9)?\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1104 + 295. Let c = w - -1153. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*b - 2024 = 69*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + t - 18 = 0, 8 = 3*o - t - t. Let n = 5.3 - 0.3. What is the second biggest value in o, n, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) + -1*(sqrt(198) + sqrt(198)*-2))*-2)\/(3*sqrt(1331)*-6 + sqrt(1331)).\nAnswer: 12*sqrt(2)\/187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/30 and 68\/1653.\nAnswer: 16530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 7*v**2 - 8*v - 10. Let j be z(-6). Is j at most as big as 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3427575 (base 8) to base 10\nAnswer: -929661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s**2 - 14*s + 14. Let t(o) = -2*o**2 - 5*o + 5. Let x(l) = 5*d(l) - 14*t(l). Let z = 6 - 2. Let k(r) = -2*r + 4*r + z*r + r. Calculate k(x(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 77 = -76. Suppose 5*b - d = -21. Let k = 10 - b. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5214 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 7*y**3 + 5*y**2 - 4*y.\nAnswer: -y*(y - 4)*(y + 1)*(2*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.072 + 2.072. Is -11 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -194249, -194246, -194243?\n\"Answer: 3*c - 194252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b - 146*b**2 + 6*b - 11*b + 36*b**2 to the form o*b**2 + l*b + s and give o.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-230)\/225 + (-4)\/(-18). Let p = 53.3 + -53. Let k be (-1)\/2 + (-52)\/(-24). What is the closest to -1 in p, b, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2636084 to the nearest integer?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72\/65 + 1369\/520. Calculate the common denominator of d and 13\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223535 (base 9) in base 7?\nAnswer: 20455250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 3*i**2 + 9. Let b(z) = -z. Give b(v(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**4\/5 - 64362*q**3\/5 + 10030884*q**2\/5 - 373913478*q\/5 - 1213755921\/5 = 0.\nAnswer: -21609, -3, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 5 - 1)*(-5*r + 2*r + 4*r)*(-r - 3*r - 11*r) in the form l*r + y*r**2 + o and give y.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29 + -8?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -4*l**2 + 0*l**3 + 1\/3*l**6 + 0*l**4 + 0*l**5 + 0*l + 12. What is the second derivative of t(i) wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzttttfzdtzzttdtfz. Give prob of sequence tdfz.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is aa2 - -5?\nAnswer: aa7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = r + r - 5*o, 3*o = -r + 26. What are the prime factors of (r\/6)\/(5\/15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggghrggkkkhrhrgrk. Give prob of sequence ghr.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**3 - 2*w**2 + w - 2. Let l be j(2). Suppose 0 = -5*g - g + 24. Calculate the greatest common divisor of g and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - (1*sqrt(425))**2) + sqrt(170)\/(4*sqrt(10)).\nAnswer: -425 + 21*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 186429 (base 11) in base 9?\nAnswer: 476223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 13*x + 12. Let m be d(-16). Suppose 0 = -4*l + 20 + m. What is the highest common factor of l and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -11. Let l(p) = -26*p + 29. Let c be l(7). Let b be 2 + -1 + 3\/(c\/48). Is b <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 27. Suppose -t = 0, -4*g + 20 = -2*t - 0*t. Suppose 2*r + 4*y + y = c, -g*r = -5*y - 60. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -33*g - 2. Let a(i) = -722*i**2. Determine a(r(k)).\nAnswer: -786258*k**2 - 95304*k - 2888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3417 = -3*b, 0 = -b + 6*b + 2*y - 5707. Let q = 393 + b. Let r = 6229\/4 - q. Calculate the common denominator of 27\/5 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**3 + 0*x**3 - 3*x**3)*(4*x - 5*x - 19*x)*((-3 - 2 + 3)*(2 + 1 - 1) + 6 + 1 - 5) as p*x + l*x**3 + d*x**4 + f + g*x**2 and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 35*j - 569. Determine c(13).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119*63\/6426*174\/(-42).\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wutqu. What is prob of sequence qwt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + -0.1. Let n = 1.2 + i. Let f = -0.083 - -0.183. Is n at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 45 = 5*c, -5*c = 2*j + 24 - 69. Solve -9*g = c*g + 72 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/12)\/(2\/(-8)). Let k = 18 + 52. Suppose k = o*v - v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000618 rounded to seven dps?\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -4, 18, 4 in decreasing order.\nAnswer: 18, 4, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 946 + -529. Suppose 245 = 3*x - 0*x + 5*i, -4*i + d = 5*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -660 not equal to -413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -143984455.\nAnswer: -143984452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*-2 - sqrt(720)) + 5 + (-1 + sqrt(720)*3 - sqrt(720)))**2.\nAnswer: -96*sqrt(5) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*h + 2176 = 2*f - 54*h, 4*f + h + 4*h - 2*h - 47 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7\/21)\/((-3268)\/(-816) - 4). Calculate the highest common factor of 92 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 11*s - 70. Let h(x) = -3*x + 20. Let d(u) = -14*h(u) - 4*z(u). Let r(a) = -1995*a. Calculate d(r(b)).\nAnswer: 3990*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*(k\/(k*k**(-1\/47)*k*k))\/k)\/k**(37\/4)*(k**(-2\/13))**(10\/17) assuming k is positive.\nAnswer: k**(-428743\/41548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*d + 4956 = 0, -2*g + 10*d = 9*d - 3319. Calculate the remainder when g is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - o**2 + 5*o + 16. What is l(6)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from {n: 1, s: 1, v: 1, t: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17280, -69144, -155576, -276570, -432120, -622220, -846864?\n\"Answer: u**3 - 17290*u**2 - u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-58)\/(-14) + 915\/(-427). Which is the nearest to -0.6? (a) -0.5 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 6:14 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -190d (base 16) to base 5.\nAnswer: -201123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1156 divide 5996172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**22\/z)*z**(-17))\/((z\/z**(-2\/11))\/z**14) assuming z is positive.\nAnswer: z**(-266\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 28*g - 106*g + 2 + 26*g + 23*g + 28*g. What is t(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(85)\/sqrt(5) + 5).\nAnswer: -5 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112 (base 4) to base 7.\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 47*z**2 - 2354*z + 68. Give l(50).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58303 is divided by 8329.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/94338 and 119\/24?\nAnswer: 377352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -14. Suppose n = -0*z + 5*z. Suppose 5*m - b - 137 = -z*b, 37 = m + 3*b. Solve 2*x + 5*r + m = 0, -4*r = -2 + 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6 and -0.069.\nAnswer: -0.1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 4. Find the second derivative of x - 2 + 31*q**2 - 40*q**2 - 5*q wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 264790? (a) -0.05 (b) -4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000031807 rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2471, 2\/7, 1\/738 in decreasing order.\nAnswer: 2471, 2\/7, 1\/738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 229 + -222. Let p(k) = k**2 + g - 1 - 4. Calculate p(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 - -188. List the prime factors of g.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.705 - 0.705. Let m = 0.1 - 0.3. Let n = m - -0.2. Is n less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 9*h + 15. Let v(k) = 2*k. Give v(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*g = 11 + 3, -4*m - 36 = 3*g. Let h(w) = w**2 + 5*w + 6. Let k(u) = u**2 + 6*u + 5. Let a(t) = 2*h(t) - 3*k(t). List the prime factors of a(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1696, -1676, -1632, -1552, -1424?\n\"Answer: 2*o**3 + 6*o - 1704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**21*r**7)\/(r**(-19))**(-12))**(12\/5) assuming r is positive.\nAnswer: r**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/5 - 8*d**2\/5 - 8*d\/5.\nAnswer: -2*d*(d + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -239. What is the smallest common multiple of y and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -52. What is the greatest common divisor of 20 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**4\/12 - m**3\/3 + 5*m**2\/2 - 7*m - 7. Let x(d) be the first derivative of f(d). Determine x(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*u + 12, 5*a - 8*u = -3*u + 50. Suppose -276 + 52 = -a*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-402)\/(-335)*25*(-2)\/(-4). What is the highest common divisor of 705 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/18 + (-9)\/(324\/(-280)). Calculate the highest common divisor of 20 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 12710, 27\/13, -3?\nAnswer: 27\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 89099, 178113, 267123, 356129, 445131, 534129, 623123?\n\"Answer: -2*x**2 + 89020*x + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1564*i - 10927. Determine h(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5*m**2 + 4*m - 4. Let t(l) = -6*l**2 + 5*l - 5. Suppose -13*b + 35 = -30. Give b*k(d) - 4*t(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-20))\/(81\/(-36)). Factor -2\/15*t**2 + q - 2\/15*t.\nAnswer: -2*(t - 1)*(t + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007719632 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-4 - (0 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3887 less than 3879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 9*c - 8. Let f be b(7). Suppose 0*m - f = -m. Calculate the remainder when 38 is divided by (156\/18)\/(m\/9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 2*u + 2. Let b be h(-2). Suppose -41 + 141 = 4*s. Let n = s + 41. Calculate the highest common divisor of b and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2)*w)**(-23))**(16\/7) assuming w is positive.\nAnswer: w**(-184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 6*b**2 + 3*b - 7. Let a be l(-3). Let y = a - 8. Solve -3*j - 24 = -y*s, 3*s = -3*j - 0*s - 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7\/2 - 3. Let v = 5.02 + -0.02. Let o = -10 + 7. Which is the second smallest value? (a) v (b) l (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4383, -17537, -39461, -70155, -109619?\n\"Answer: -4385*d**2 + d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2.3, 1\/2, 2\/7, 25, -1\/3, -39?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 78 = 146. Let x be (8\/(-6))\/(((-416)\/(-12))\/h). Which is bigger: 6\/11 or x?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 754676534 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/610 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*x = 0, 4*y = 4*x - 6*x. Suppose 3*z = -2*t + 5*z + 52, t - 22 = 5*z. Suppose 5*p + y*l = -2*l + t, -5*l - 20 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58580)\/2424*48\/200?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(539)*-2 + 0 - (sqrt(891) + (sqrt(891) - (-1*sqrt(891) - sqrt(891)))*1)**2*-4.\nAnswer: -28*sqrt(11) + 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 6*n**2 - 6*n. Let y be j(5). Let m(h) = -8*h - 4. Let k be m(y). Suppose -3*f + k = -f. What is the smallest common multiple of f and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuv when three letters picked without replacement from wwuwgwxuv.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*i + 10 - 6, 2*i - u = 13. Solve i + 55 = 30*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -179*q + 5878*q - 31252*q**3 + 3393*q - 175*q + 24310*q**3 wrt q.\nAnswer: -41652*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -916516, -1833034, -2749552, -3666070?\nAnswer: -4582588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c - 5 + c**3 + 3 + 6*c**2 - 10*c**2 + 2*c**2 to the form d*c**2 + h + s*c + t*c**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 26. Which is the biggest value? (a) k (b) 2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 1564903983.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4826148 divided by -4826148?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 8 = -1, 4 = -g - 5*v. Suppose -g*d + 8 = -25. What is the second derivative of -2 - 7*a + 19*a**2 + a**3 + a**d - 4*a - 2*a**2 wrt a?\nAnswer: 12*a + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*c - 475044 = -63*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + d)*((-3*d + 2*d + 5*d)*(-1 - 3 + 3) + 2*d - 5 + 5 + 6*d - 5*d - 4*d)*(19 + 11 - 8).\nAnswer: -110*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 8*d**2 - 4*d + 19. Let t be w(9). Suppose a + 4*p + 4 = 0, -3*a + p = 2*a - t. Calculate the remainder when 62 is divided by a*(-14)\/24*-3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 2. Let f = -10 + 14. Give n(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -972430 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204386067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4932338 (base 11) to base 10\nAnswer: -8582692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**6\/24 + 3*c**5\/4 + 35*c**4\/8 + 55*c**3\/6 - 12*c**2 - 8*c. Solve l(x) = 0 for x.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-6)\/p*p)\/p)\/p*(p*p**(-4\/9))\/p)\/(p**(-1\/2)*p)**44)\/((p**(-7\/4)*p**6)\/((p*p**(6\/7))\/(p\/(p*p**(1\/12)*p)))) assuming p is positive.\nAnswer: p**(-3875\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/13)*n**2*(n\/n**(1\/3))**32)**(27\/4) assuming n is positive.\nAnswer: n**(2061\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 2.3362493514132?\nAnswer: 2.2362493514132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4710 - 41439?\nAnswer: -37829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/10)\/((-3)\/(-10)). Let m(t) = -r*t**2 - 3*t**2 + 5*t**2. Let s(o) = 2*o**2 + 5*o - 5. Let l(c) = -c + 1. Let n(a) = 5*l(a) + s(a). Give m(n(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2\/(-10)*45\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 15, 0.4, -1666?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1139 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4067?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 5*p + 4, -4*w + 5 = 5*p - 2. Calculate the highest common factor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m*m\/m**(-1\/3)*m))*m*m)\/m**4)**(-34)\/(((m\/(m**(2\/21)*m))\/(m*m*m**(-3)*m))\/(m\/(m*(m*m**(-2))\/m))**11) assuming m is positive.\nAnswer: m**(226\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 145 + -12?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 12*b**2 + 4*b - 12.\nAnswer: -4*(b - 3)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n = p, -5*p - 4*n - 29 = 0. Put -11, 2, p in ascending order.\nAnswer: -11, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1466, -1469, -1478, -1493, -1514, -1541, -1574?\nAnswer: -1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1272*k - 118456 + 360796 = 1173*k + 440*k for k.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3 + 0.3. Let q = -1 - t. What is the second biggest value in 1\/5, -4, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/(s**11*s))\/(s**(-3)*s*s\/(s*s\/s**(-13)*s)*s) assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/12*((-224)\/(-108))\/(-7).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -92454250*u**4 - 21659580*u**2.\nAnswer: -2218902000*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s - 3. Let a(t) = 3*t**3 + 5*t**2 + 4*t + 6. Let p be a(s). Let k = p + 46. Solve -k*q = 3*u + 5, -u - 3*u + 45 = -5*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6064 * -0.15.\nAnswer: 909.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 1, -0.5, 0.1, -182751?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 53946177.4 rounded to the nearest 1000000?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) 640 (c) 4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 439316, 882398, 1325480, 1768562?\n\"Answer: 443082*a - 3766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 - -7 - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a day in hours?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-5))\/(8\/80). Suppose -23 = -i*y + 5. Suppose -u - 2*h - 9 = 0, h = 2*u - 4 - 3. Calculate the highest common factor of y and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 236.28 and -0.5.\nAnswer: 235.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -783, -4, 0, 63 in decreasing order.\nAnswer: 63, 4, 0, -4, -783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 u when four letters picked without replacement from {n: 1, a: 4, u: 6, i: 2}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/1830 and -123\/20.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170238 and 510?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -532 and 1345 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/5*(-25)\/(-10). Let x(m) = 6 - 3 - m + 3*m. List the prime factors of x(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*p + 16269*p = 68503 + 534405 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 11. Let i be g(4). What is the greatest common factor of 25 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24796271 divided by -22.\nAnswer: -24796271\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 38584001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i = -3*z - 1, 2*z - 4 = -2*i. Let f = -3 + z. Let m be -1 + 26\/10 + f. Which is smaller: -1\/2 or m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/280*4*-2)\/(7\/((-2485)\/(-2)))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000144859282 rounded to 6 decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - -1d?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1828 + 18542 = -982*u - 3198 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 + 7528*j**2 - 7528*j**2.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:57 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5353089 centuries?\nAnswer: 53.53089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -673, -651, -631, -613, -597?\n\"Answer: -w**2 + 25*w - 697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 280 (b) -5 (c) -4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 5*c**4\/8 + 8*c**3\/3 - 2*c**2 + 231. Let h = 10 + 3. Is q(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849 divided by 60?\nAnswer: 283\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vttnnttttt. Give prob of sequence nnv.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - sqrt(320)*1)**2 + 1 - -1*sqrt(320)*3)*-6.\nAnswer: -144*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*w - 4*w + 128, -4*q + w = -156. Calculate the smallest common multiple of (216\/96)\/(0 - 5\/(-20)) and q.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*o + 5*o + 2*g, g = 4*o - 1. Which is greater: o or 1\/31?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/12 + (-3)\/(-24)*-10. Let h be (-3 - s - -18) + 4. Solve 2*c - h = 3*w, 14 = -4*w - 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 21220212000?\nAnswer: -21220211221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -17. Suppose y + 1 - 3 = m. Factor -2\/7 + 2\/7*x - 2\/7*x**3 + 2\/7*x**y.\nAnswer: -2*(x - 1)**2*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a**3 - 5422*a**2\/3 + 18008*a\/3 - 1472 = 0.\nAnswer: -184, 4\/15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 36 = 12*s. Solve -4 = 2*p - s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18012 and 5244.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -928 >= -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -151.5 - -160.5. Which is the nearest to q? (a) 0.4 (b) -3\/8 (c) -1\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 5.4147?\nAnswer: -5.7147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 74323.\nAnswer: -9\/74323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((5 - -2)*-2)\/(-1). Solve -b - 21*z - 10 = -23*z, 5*b + 2*z = -k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*l + 96. Let k = 22 - l. Find the second derivative of k + 4 - 12 - 2*u**2 - 14*u wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/25690 and -33\/25690.\nAnswer: 25690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*t - 39, -2*t - c + 5*c = -38. Suppose r - t = -4*r. Put -3, r, -4 in decreasing order.\nAnswer: r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 783 = -5*u + 823. Suppose 5*s - 38 - 22 = 0. Solve -3*x = -c - u, 0*x - x = -4*c + s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*p + 2*p. Let l = p - 6. What is the units digit of -2*(l\/2 - 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26954691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.68 and -7557.\nAnswer: -20252.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -964*j**2 + 3*j**3 - j**3 + 955*j**2 as i*j + r*j**3 + w + y*j**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2160\/225*((-403)\/39 - -12) + 71\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32141248 and 16124.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -155, -153, -151?\n\"Answer: 2*u - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0.6. Let w = x + 0.3. Let c = 173 + -1207\/7. What is the nearest to w in 0, c, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419 a factor of 317653214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 62. Solve -3*k + 5 = f*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000049703 to 7 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231 (base 6) in base 12?\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10823937 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4974552865 + 0.1\nAnswer: -4974552864.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 42*r + 12*r + 17*r + 15*r to the form k*r + g and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + 73a806?\nAnswer: 73a823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b**3 - b**2 - 8*b - 8. Let m be n(-1). Solve 2*x + 11 = 3*c, 4*x - m*c + 15 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u**(1\/4))\/u*u**(3\/5))**(-28)*(u\/((u\/u**0*u)\/u))**33*(u*u**5\/u*u)\/(u\/(u\/(u*u*u**(6\/7)))) assuming u is positive.\nAnswer: u**(-1703\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 5:39 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 37694, 39401, 41108, 42815, 44522?\n\"Answer: 1707*h + 35987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1145772*x**3 + 27502236*x**2 - 88995*x + 72.\nAnswer: -3*(x - 24)*(618*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*h + 22 = -0*r, -4*r = -2*h - 44. Let p = 7 + 2. What is the lowest common multiple of r and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 148913, 297813, 446735, 595691, 744693, 893753, 1042883, 1192095?\n\"Answer: 2*i**3 - i**2 + 148889*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*a + 2*a - 3*a)*(3 + 5 - 5) + 2*a - 3*a + 2*a)*(18 + 37 + 17 + 52).\nAnswer: 1612*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327499899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/8, 20362, 0.3, 1\/2, -4, -0.3, -6?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 7:39 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, -0.07, -266\/3, -6 in increasing order.\nAnswer: -266\/3, -6, -2\/21, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -87, -89, -93, -99?\n\"Answer: -f**2 + f - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a5 - -47?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*p = 3*p + 2027, 5*p - 1006 = -a. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -6, 0, -177, 106?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -634986*b + 3174878. What is y(5)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.83 + 0.17. Let v = -11 + o. Suppose 2 = -y + 1. Sort y, -1\/2, v in decreasing order.\nAnswer: -1\/2, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 91 (b) 5\/4 (c) -2\/5 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*i**2*u**2 + 194*i**2 - 33100092*i*u**3 - 304268*i wrt u.\nAnswer: 12*i**2*u - 99300276*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -5*m**4\/12 + 7*m**2\/2 + 2*m. What is the derivative of q(o) wrt o?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 8*u**2 - 9*u - 1. Let d be q(9). Let r be (d - 3)*(-4)\/(-2). Suppose 0 = -269*z + 268*z - 7. Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -80*d**2. Let y be v(-1). Let l = y + 149. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1311 + -5012?\nAnswer: -6323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - -18. List the prime factors of x.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*w - 11*w - 113 = 223 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -112318.9 at least -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.26 + -2.796. Let k = -0.364 + r. Which is the smallest value? (a) 0.2 (b) -2 (c) k (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -h + 31, -h = 2*j + h + 8. What is the smallest value in -25\/4, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 162155683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + 5 + 0 + 2 + 5 + 12 - 5.\nAnswer: 4*p + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -19. Let i(b) = 11*b + 9. Let j(f) = 16*f + 13. Give k*j(x) + 7*i(x).\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*d*d**2\/d)\/(d\/((d*d**(4\/3)\/d)\/d*d))**(1\/45) assuming d is positive.\nAnswer: d**(1081\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -353*o**2 - 1. Let i(j) = -j. Calculate i(q(k)).\nAnswer: 353*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3575500 divided by -35755.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13064240 (base 7) in base 10?\nAnswer: -1192394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5264 and 423.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*((-20)\/8)\/(-5). Let p = 779\/1028 + -2\/257. Let -3\/2*b + 3\/4*b**2 + 0 + p*b**q = 0. What is b?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 12. Calculate z(11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44242874 and 8756?\nAnswer: 973343228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*((sqrt(12)*3)\/sqrt(4) + sqrt(3))**2 - ((sqrt(27) + -4)**2 - (sqrt(3) - ((sqrt(75) - (sqrt(75) + 0)) + sqrt(75))**2)).\nAnswer: 28 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s - 49 - 35 = 0. Let n(j) be the second derivative of -5\/6*j**3 - 1\/2*j**s - 4*j + 0*j**2 + 0. Find the second derivative of n(w) wrt w.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 30*w + 31. Let a be b(31). Suppose 2*q - 5*q - 4*g + 494 = a, -2*q - 5*g + 320 = 0. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205646?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 992744.9l in millilitres?\nAnswer: 992744900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4\/11 + 200*l**3 - 8824*l**2\/11 + 8832*l\/11 = 0. Calculate l.\nAnswer: -1104, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111601 + 2*w + 16*w + 12*w + w**3 + 111600 + 5*w**2 - 9*w to a*w + y*w**2 + s*w**3 + k and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m - m**2)*(4 - 4 - 2*m) + 3*m**3 + m**3 - m**3 - 4*m**3 - m**3 + m**3 + (2*m**2 - m**2 - 2*m**2)*(-3*m + 0*m + 5*m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 26) + (-35720)\/(-1504)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -5. Let u = -6 + 16. Let i = u + -7. Solve -x*r + 8 = -i*p - 5, -p = -5*r + 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -449*n**4\/4 - 470*n**3\/3 + 33. What is the third derivative of r(f) wrt f?\nAnswer: -2694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205*b - 181*b - 96 = 0. Solve 4*j - 21 = 3*x, x + 2 + b = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744976.\nAnswer: 2, 191, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - 0.2. Let w = o + 4.4. What is the third smallest value in w, 0, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12)\/23*((-21)\/(-8) + -2) and -65\/14?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 28, 38, 50, 64, 80, 98?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13300222 (base 6) to base 7\nAnswer: 3524321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -2\/5 (c) -0.15 (d) -0.3 (e) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(17) + sqrt(1700) + 1 + sqrt(17) + sqrt(17) + sqrt(17) + 0 + 4)**2*-5.\nAnswer: -16785 - 700*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3172035.\nAnswer: 3, 5, 211469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1320)\/550) - (-31)\/12?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9249.679kg?\nAnswer: 9249679000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**5 + 176*b**4 + 504*b**3 + 496*b**2 + 164*b = 0. What is b?\nAnswer: -41, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = -6. Let j = f + 15. Solve -2*a + 6*k - k = 23, -3*k + j = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -284c42 (base 14) to base 12.\nAnswer: -5740b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/39)\/((-1)\/(-13))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106003.\nAnswer: 71, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 7:53 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/420*8\/(-10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 2*v - 1. Let f be o(2). Let t = 0.36 - -0.04. Let g = -2.04 + 0.04. What is the third biggest value in f, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(0*k + 4*k - 5*k)*(1 + k**3 - 1).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*f - 5*n - 110, 3*n + 52 = 5*f - f. Which is the nearest to -2\/3? (a) f (b) -1 (c) 0.1 (d) -15\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yte when three letters picked without replacement from {e: 1, t: 2, y: 1, q: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 568084591?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 - 2. Let f = -23108 - -23108.01. What is the third smallest value in u, f, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 51*t. Let d(q) be the first derivative of 15 + 0*q**2 + 2\/3*q**3 + 0*q. Give d(k(v)).\nAnswer: 5202*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -4 + -3 + (-3 - 19) + -9 + 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, 13\/5, -35.7.\nAnswer: -35.7, 0.14, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 8*h**2 - 11*h + 18. Give r(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -20148200.7 to the nearest 10000.\nAnswer: -20150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z - 9 - 17 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 1. Let p(x) = -6*x + 3. Suppose 0 = -7*q - 13*q + 96 - 116. Calculate q*p(u) - 2*v(u).\nAnswer: 8*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4301 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 14943?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {m: 5, w: 1, j: 1, r: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -1) + 7 + -6 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3110*t + 3115*t - 12 = -4*m, 0 = -4*m - t - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d, 770*d - 806*d = -a - 10 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102241913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3052494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j + 19 = 5*n, -6 = -3*n + 3*j. Let b be ((-15)\/25)\/(1*(-336)\/2560). What is g in 4 + b*g**2 - 58\/7*g - 2\/7*g**n = 0?\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 4*m, -5*f + 13 + 9 = -m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + v**2 + 14*v + 2. Give n(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)*-1)\/sqrt(8) + sqrt(63) - (2*sqrt(63) - sqrt(63))*-3)\/(5*(sqrt(81) - sqrt(9))*-4).\nAnswer: -3*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**3 + 4*p**2 - 4*p. Let m(d) = d + 8. Let u be m(-5). Let s(o) = -6*o**3 - 3*o**2 + 3*o. Calculate u*q(j) + 4*s(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -322*-16\nAnswer: 5152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -481 - -864?\nAnswer: 3d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -8*y + 9. Factor 2*q**3 - 3*q**y - 3*q**2 + q - 33 + 36.\nAnswer: -(q - 1)*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1494 - -1493.82. Put 4, 17, 1\/4, 0.4, v in descending order.\nAnswer: 17, 4, 0.4, 1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 7. Let s be k(-9). Suppose -5*y = -s*v - 30, -3*y = 5*v + 17 - 4. Let h be (v\/(-2))\/(6\/156). Calculate the greatest common divisor of h and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - (4 - 6 - 6)) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 168918876 to the power of 1\/3, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rssvcrtvtnnstr. Give prob of picking 1 n, 1 s, and 2 r.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 182, 405, 718, 1121, 1614?\nAnswer: 2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*v**2 - 2*v - 352*v**2 + 2*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 2*g - 2. Let r be q(-2). Suppose -r*b - 3*b = 0. Let o(i) = -30*i + 514. Let l be o(17). Put l, 3, b in increasing order.\nAnswer: b, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.999595 nanometers in centimeters?\nAnswer: 0.0000003999595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/230*23 - 27\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231312 (base 4) in base 14?\nAnswer: -10d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5573605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*h**4 + 200200*h**3 + 1102915*h**2 + 1517340*h = 0. Calculate h.\nAnswer: -11\/4, 0, 2508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -713 - 4?\nAnswer: -717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*b, -44 = -2*b - 2*b - 3*t. Suppose 12*d - b*d = 540. Suppose -3*w + 70 = -w - 2*y, -y - 69 = -2*w. What is the remainder when d is divided by w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqq. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13812 = 4*x + 4*s, -13812 = -4*x + 31*s - 30*s. List the prime factors of x.\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 19*i**2 + 8*i - 150. Let w be v(19). Solve -w*l - 2*n = 2, -2*l + 3*l - 2*n = 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-eight sevenths of a week?\nAnswer: 912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/14*9\/18)\/(((-168)\/28)\/18).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 5 - 4\/(-1) - -1. Let y(g) be the second derivative of 1\/6*g**4 + 0 + 0*g**3 + 1\/5*g**5 + 0*g**d + 4*g. Find the third derivative of y(v) wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -11192 (b) 5 (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36400735 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-450)*-9 + 430928\/18400?\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 4*q - 4*c - 160, 4*q = -2*c + 256. Let h = q + -62. Calculate the lowest common multiple of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**14*i)\/i)\/i)**29*(i**31*i)\/i*i*i*i\/i**8*i*i assuming i is positive.\nAnswer: i**434","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20221 (base 4) to base 16\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132989 is divided by 218.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -136, -94, -16, 110, 296, 554?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0808587 times 133\nAnswer: -10.7542071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/56*6*(-14)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j + 83. Let i(h) = -18*h - 416. Let d(l) = 2*i(l) + 11*r(l). List the prime factors of d(17).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -15. Suppose 0 = -3*s - 3*x - 2*x - 15, 3*s + 3*x = -k. Let h be 5 + -5 - 2\/s. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.98 - -8.18. Which is the nearest to z? (a) 0.3 (b) -129 (c) -0.3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -57.\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 12*u**2 - 13*u - 63. Calculate m(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2978*b + 3593*b + 1)*(-3*b + 0*b - b) + 2 - 2 + 3*b**2.\nAnswer: -2457*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1209372 divided by -6.\nAnswer: -201562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000350535 rounded to 6 dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1830015*m + 1063*m**2 + 1830015*m)*(m**2 + 0*m**2 + m**2) in the form d*m**3 + w*m**4 + i*m**2 + u + g*m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5234 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4+4774\nAnswer: 4778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 3*i + 23, -251*i + 495*i - 15 = 5*w + 249*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 224 + 1745?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + s - 1. Let t(x) = 9*x**2 - 2*x + 6. Let o(w) = 17*w**2 - 5*w + 12. Let g(r) = -3*o(r) + 5*t(r). Determine 5*a(q) - g(q).\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 8*g + 20. Calculate r(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t**2 + t**2 + 3*t**2. Let d(y) be the first derivative of -y**4\/8 + 17*y**2\/2 - 15. Let f(p) be the second derivative of d(p). What is k(f(r))?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 136392484*s.\nAnswer: 2*s*(s + 68196242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2205 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 + -81. Let d be (-1)\/((5 - 2)\/(-42)). Suppose -d = -2*o + 52. Calculate the remainder when o is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 0.2. Let r = c + 0.4. Let v = -3 - -2.9. What is the nearest to v in 0, r, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -10)*(-6)\/8. Let l(f) be the third derivative of -f**6\/120 + f**5\/60 + 5*f**4\/8 + 11*f**3\/6 - 392*f**2. What is the hundreds digit of l(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*x + 49 + 408*x + 398*x - 1610*x + 399*x.\nAnswer: -4*x + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - -4) + 2 - -11) + -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70130, -140259, -210392, -280529, -350670, -420815?\nAnswer: -490964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-9 + 15) - -14 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -47, -2, 2, 0, 32 in decreasing order.\nAnswer: 32, 2, 0, -2, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 1467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85801*h - 119988?\nAnswer: -85801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 222\/(-2516)*(-8)\/6?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 484*n**4 - n**3 + 62*n**2 - 1320989 wrt n?\nAnswer: 1936*n**3 - 3*n**2 + 124*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.1, -4\/3, 0.2, 2\/11, -2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529 a factor of 129840449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**3\/6 + 3*z**2\/2 - 4*z. Let t be y(0). Let 5*i - 3*i**2 - t*i - 5*i = 0. Calculate i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 47*u**2 - 86*u - 159. What is q(45)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/((-532)\/40))\/((-6)\/42).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -207 (b) 0.5 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/(-6) - 5 - 29. Let d be n\/(-70) - (-26)\/10. Let w = 42 + -39. Solve -d*u + 11 = -l + 3, -2*l = w*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 1\/913402, 5\/2, 4 in decreasing order.\nAnswer: 4, 5\/2, 1\/913402, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 - 54*a**3 + 53*a**3 - 3 + 3*a**2)*(-23*a**2 + 39*a**2 - 38*a**2).\nAnswer: 22*a**5 + 22*a**4 + 66*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168860262*u + 168860244*u - 337720498*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -k - 10. Let t be (0 + k)\/((-6)\/((-270)\/9)). What is the closest to t in -1.9, 3, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 12. Let m = -0.4 + 0.3. Which is the closest to m? (a) 3\/5 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {o: 4, i: 7, f: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16689*z + 16685*z - 15 = -3*x, -4*x = 25*z - 24*z - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1682.91465 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, 24609\/5, 0.24, 4?\nAnswer: 24609\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4 = -y. Let x be 40\/28 - (-4)\/7. Let l be (-35)\/(-14) + (-1)\/x. What is the greatest common divisor of l and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6048 plus 12270?\nAnswer: 6222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188487*y - 1188534*y + 1316 = 0 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4810 divided by 185?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 152*n. Let j(r) = -19*r**2 - 3*r. What is j(i(m))?\nAnswer: -438976*m**2 - 456*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rhhrrhr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13217905.71 rounded to the nearest 10000?\nAnswer: 13220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 7*w**2 - 5*w - 1. Let q = -42 - -48. Let m be y(q). Suppose 0*h - 3*h = 0. Put -1, h, m in ascending order.\nAnswer: -1, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 + 1.9. What is the closest to -0.02 in -3, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -70*a + 250. Determine c(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a2 (base 16) in base 14?\nAnswer: b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 7*f + 5 = 0. Suppose -b - 2*b + 40 = -2*u, -3*b = f*u - 5. Let h = 84 - b. List the prime factors of h.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - h - 18 - 80 = 0, 190 = 5*v + 5*h. Suppose 4*z - 277 = 5*p - 56, -v = -z - 3*p. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(3 - 0) - -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*g**3 + 525*g**2 + 1344*g - 369.\nAnswer: 3*(g + 3)*(g + 41)*(4*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 32*h + 2. Let t(b) = 32*b + 1. Give -2*q(f) + 3*t(f).\nAnswer: 32*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108\/7*b**4 + 4\/7*b**5 + 0 + 104\/7*b**3 + 0*b**2 + 0*b.\nAnswer: 4*b**3*(b - 26)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f*y**5 - 224639*f*y**3 + f*y + 100668*f wrt y.\nAnswer: 40*f*y**3 - 1347834*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 6*k**2 + 2*k - 7. Let l be y(-6). Let r = l + 39. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 374920759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 93, 127, 159, 189?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 2. Let g(p) = p**2 + 6*p + 6. Let r be g(f). Let b(n) = 849*n + 6. Let y be b(r). What is y rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from {z: 3, n: 4, h: 2, i: 1, e: 7}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1524, -1511, -1512, -1533, -1580, -1659, -1776?\nAnswer: -1937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8*x + 681 = 4*x, -4*i + 4*x = -2760. Let p be (-147)\/(-12) - 2\/8. Suppose k + 3*t = 4*k - i, 3*t - p = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4*10\/(-25)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 - -0.37. Let g be (-8)\/78*3\/2. Let q = -2 + 1. Which is the nearest to q? (a) g (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n + 18. Let x be -25*2\/n + (-54)\/(-243). Suppose -4*w - 173 = -7*w + 4*k, 0 = x*w + k - 163. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330 and 16595150?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (4 - (-3)\/(-3)). Let u(n) = n**2 - 1. Let v be u(i). Suppose z - d - 1 - 3 = v, 4*z - d - 13 = 0. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2893, 2927, 2969, 3019, 3077, 3143, 3217?\n\"Answer: 4*t**2 + 22*t + 2867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -3) + 1*-1. Let y = 29 + -29.11. Let o = y + -3.89. What is the second biggest value in a, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 2*n**2 - 6*n - 8. Let p be r(-3). Is (p - (-3 - 0))*1 - -68 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4\/7, -1\/2, 0.29, -1\/4, -5?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 51*h**2 - 270*h + 255. Determine v(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -15*x. Let u(d) = 79*d**2 + 22. Calculate u(a(l)).\nAnswer: 17775*l**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jod when three letters picked without replacement from wdojv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13505443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/(-3 - -5)*(-85)\/255?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 55*f**2 + 6*f - 327. Calculate the lowest common multiple of k(55) and 927.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2\/26) - 3. Let a be (-9)\/(-15) + (-36)\/o. Let h be -7*(a - (-45)\/21). Which is bigger: h or 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 0 - 6*r - r**2 + 0*r**2 - 6. Let a = 10 - 15. Let n be h(a). Which is bigger: 3\/8 or n?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*b = 5, 3*h - b = 53950. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -248 - -298. What is the remainder when n is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/4))\/k**(2\/13)*k**(3\/7)*k**(-2\/5))**(2\/3) assuming k is positive.\nAnswer: k**(2047\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 557.1 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 81270639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 17 = -4*m, 0 = 2*w - 245*m + 242*m - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 264580003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*(-3 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 2, i: 1, e: 2, z: 2}. What is prob of picking 1 f, 1 z, and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*3\/(-3) + -7. Let u = -16 - w. Let l = u + 17. Solve -d = d + l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(396) - (sqrt(396) + -1*sqrt(396))) + -2)**2.\nAnswer: -144*sqrt(11) + 2400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(-2\/101))\/(n*n*n*n*n**(-3)\/n*n))**(-1\/54))**(-2\/5) assuming n is positive.\nAnswer: n**(2\/13635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -17, -34, -55, -80, -109?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snnnppnqnqsn. What is prob of picking 1 s, 1 n, and 1 q?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 3796793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a. Let k = 2 + a. Let g(t) = k*t - t - t + 2*t. Let o(r) = -11*r**2. Give g(o(v)).\nAnswer: -22*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2. Let y(x) be the first derivative of -x**5\/60 + x**3 + 1. Let a(q) be the third derivative of y(q). What is n(a(o))?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 4*c**2 - 3*c. Calculate k(3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 691, 1085, 769, -611, -3409, -7979, -14675, -23851?\n\"Answer: -59*b**3 - b**2 + 810*b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4179115 centimeters?\nAnswer: 4179115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zshzphzpppwpshfhwzsh. Give prob of picking 1 p and 1 w.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4375.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + 1 - 4*j**2 - 4 + 4*j. Let l be m(2). What is the tens digit of (-12)\/(0 - (l - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + v + 50 = 0, -o = -6*v - 14 - 10. Solve -o*f = -22 - 38 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 1. Let q(b) = -4*b**2 - b + 7. Let i be 2*(3 - 21\/(-3)). Let k = i - 10. Suppose k*l - 2 = 8*l. Give l*q(m) - 6*x(m).\nAnswer: 2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7438799709516 from -191.\nAnswer: -7438799709707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 21 - 59. Let v be (-11)\/(f\/2*2\/8). Put -5, -1, -2, v in ascending order.\nAnswer: v, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 3. Let l be q(-3). Let y = 38 - 28. Let c be (-4)\/y*(-7 - -2). Solve -1 = -b + j, j = c*b - l*j + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 426782668 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9395 - 9330. Which is the second smallest value? (a) -5 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 1719187300.\nAnswer: -1719187286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3648 divide 1444352640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -79*m. Let q(h) = -h. Determine q(c(w)).\nAnswer: 79*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -38\/179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 10:35 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1432746907?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2562440\/51 or -50245?\nAnswer: -2562440\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand f + 2*f - 13*f + (4 - 2 - 3)*(4*f - 7*f + f) - 2*f + 0 + 0.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(1*(8 + 77\/(-11) + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 + 0.36. Let u = -0.1 + 0. Let l(j) = j**2 - 16*j + 30. Let y be l(14). Which is the nearest to u? (a) y (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -5*u - 4*k, -3*k = -5*u - 147 + 126 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 118220 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:13 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1113*p**2*x**5 + 3*p**2*x + 7*p*x**6 + 1264*p*x**2 + 2*p*x wrt x?\nAnswer: 66780*p**2*x**2 + 840*p*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 12:10 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/7 - 30032*x\/7 - 112740128\/7 = 0. What is x?\nAnswer: -7508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -274, -219, -124?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 101*y**2 - 1616*y - 1107. Determine k(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420650 and 103462?\nAnswer: 121567850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -254606+-836\nAnswer: -255442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*g + 44*g - 64. Let m(a) = 2*a**3 + 17*a**2 + a - 4. Let i be m(-7). What is the highest common factor of g and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 629518942 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 26491*a**2 - 23 + 26495*a**2 - 79486*a**2 + 26490*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -12*w**2 + 7*w + 10. Let r(b) = -8*b**2 + 5*b + 7. What is -7*r(t) + 5*z(t)?\nAnswer: -4*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -598896 - -30.\nAnswer: -598866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/60 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -12*p**3 - 3*p**2 + 9*p - 3. Let c(m) = 11*m**3 + 2*m**2 - 8*m + 2. Let g(v) = 3*c(v) + 2*o(v). What is the second derivative of g(x) wrt x?\nAnswer: 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12623 (base 13) to base 15.\nAnswer: a118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = -2*x - 6*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 397 + -403. Put -14, 0, b in descending order.\nAnswer: 0, b, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23432 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: Is 27043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 4826480?\nAnswer: 14479440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l - 14 = 82. Sort 1\/3, 0.1, l in descending order.\nAnswer: 1\/3, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 6*w - 2. Let z(r) = -6*r + 1. Calculate -2*s(v) - 3*z(v).\nAnswer: -2*v**2 + 6*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, a: 2, j: 3, b: 2}. Give prob of picking 3 j.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2194*m - 6619. Give o(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 32 = 100. Solve -l*k = 8 + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o, -71*t + 69*t - 2*o + 8 = 0. Suppose -10\/17*h**3 - 88\/17*h + 132\/17*h**2 - 50\/17*h**t + 16\/17 = 0. What is h?\nAnswer: -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12421 (base 7) to base 12.\nAnswer: -1aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 226 - 211. Suppose -v*z + 3165 = -1455. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2*s - 3 + 3 + 5 + 6*s.\nAnswer: 4*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*v - 284 + 56 = 0. What is the nearest to 0.1 in v, 2\/3, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-198198)\/1092)\/((-11)\/(-4)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 4499792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyiiyyiyyyiyy. Give prob of picking 1 y and 3 i.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l - 224 - 2*l + 224 - 6*l. Let g(i) = 97*i**2 + i. Give v(g(n)).\nAnswer: -291*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -194 - -208. Let m be (-2)\/(-9) + (-502)\/(-36). Let l = p - m. What is the smallest value in 3, l, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**2\/8 + 21465*q\/2 + 153582075\/2 = 0.\nAnswer: -14310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51870 divided by 39.\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1295 - -867.1295. Let g = c - 870. Let z be 10\/(-18) - (-2)\/3. Sort g, 4, z, 0.2 in decreasing order.\nAnswer: 4, 0.2, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*x - 20. Put 3, 5, x in increasing order.\nAnswer: x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36060 + -252422\/7. What is the nearest to 0 in 24, n, 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9013\/112 - 576\/7. Calculate the common denominator of (-8 - 188\/(-24))\/(5\/(-37)) and j.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 4. Suppose v*g - 3*g = 112. Suppose 0*p + g = 2*p. What is the highest common factor of p and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 683037 is divided by 2882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -3*q**5\/20 - q**3\/6 + 4*q. Suppose 0*c = -2*c - 2. What is the remainder when 11 is divided by d(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 372232.\nAnswer: 1861160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4ba03 (base 13) in base 15?\nAnswer: -2b7a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3690 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 9*o**2 + 8*o - 6. Let g be (0\/(-2))\/(-3 - 0). Suppose g*j + 4*j - 12 = -3*c, -5*c = 3*j + 2. Let a be q(j). Round a to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-363*h + 36806 - 36806)*(0 - 9 - 1).\nAnswer: 3630*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/25)\/q)\/q)\/(q**6*q)*q*q\/(q\/(q**5*q))*q*q*q*q**(-11) assuming q is positive.\nAnswer: q**(-227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 6:09 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by (8\/3)\/(10 + 413\/(-42)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1702 (b) 0.5 (c) -4 (d) -2641 (e) 2\/13 (f) 2 (g) -5\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**5\/60 - g**3 - 1. Let z(p) be the third derivative of l(p). Let k(d) = d. Determine k(z(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 3*w**3 + 4*w + 0*w + 7.\nAnswer: 3*w**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4318300 rounded to the nearest 10000?\nAnswer: 4320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -5299148.\nAnswer: 4769233.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence up when two letters picked without replacement from pudeh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 657779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2 - 13*i - 235.\nAnswer: 4*i - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154454746 and 1730.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2. Let v(i) = 31 - 23 - 19 + 9*i**2 + 11. Calculate 8*a(m) + 3*v(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/130*10 - 258\/(-13). Suppose f - 2 = -2*d + 23, -4*d - x = 0. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 12. Suppose 0 - u = -4*r. What is the second biggest value in r, 0.4, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.3 - -7.1. Let n = 0.147 - 0.09. Let s = n + 0.943. Which is the nearest to 0.1? (a) -0.4 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (25\/50)\/((-2)\/(-60)). Suppose v = 4*a + 5*k - 16, 4*k = -4*a + 28. Let m(c) = c**2 - 4*c + 2. Give m(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-seven fifths of a micrometer?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 18, 1, 664, 237.\nAnswer: -5, -4, 1, 18, 237, 664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o)**9)**12\/((o**(-2\/7))**(1\/13)*(o**(-1\/4))**(-2\/15)) assuming o is positive.\nAnswer: o**(-589711\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9367 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22120 (base 3) in base 4?\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2044 divided by 83\nAnswer: -2044\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 220*a**3 - 670*a**3 + 229*a**3 + 18*a**4 - 2*a + 224*a**3 + 2*a**2 to o + u*a**3 + k*a**2 + l*a**4 + j*a and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 11*f + 5. Let m be w(11). Let k(z) = 39*z + 204. Let b be k(-5). Suppose -m*x + b = -16. Solve -4*j = -r - 9, -3*r - 9 = -x*j - r for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 3*p - 3. Let z be o(-3). Suppose 2*w + z = 4*w. Solve m = -4*v + 9, -w*v + 4 = -m - m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 9:09 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -59*m**6\/360 + 15*m**4\/8 + m**3\/6 - m**2 + 51. Let d(p) be the second derivative of i(p). Let c(a) = 2*a. Determine c(d(y)).\nAnswer: -236*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121124 or -121128?\nAnswer: -121128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**4 - 3*r**3 + 3*r + 3. Suppose -5*p + 5 = -0*p. Let y(k) = k**4 - k**3 + k. Let h(i) = p*x(i) - 3*y(i). Differentiate h(v) wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090693.\nAnswer: 11, 190063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31715 + -31715.03. Which is the closest to 2\/5? (a) 1186 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 99, -115, -415, -801, -1273, -1831?\nAnswer: -2475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/4)*b*b)**(-5\/3)\/(b\/b**(-5)*b*b**2))**(-2\/19))**0 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4182 divided by -697.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-5)*((-61)\/366)\/(1\/(-10))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -246.5.\nAnswer: 246.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1 + 1)*-5)\/(-2). Suppose 5*g - 6*v = -5*v + 4201, -k*v = -g + 845. What is g rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133156 is divided by 123?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5853 = 3*i, 2*m - 5*i = -2*i + 3897. Suppose -m = -x - 5*x. What are the prime factors of x?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1.47.\nAnswer: -1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*v - 9. Let x(p) be the second derivative of -4*p**3\/3 + 2*p**2 - 31*p. List the prime factors of x(v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 360 - 90 - 72 = -0*z for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u + 57*u - 50*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from {z: 2, g: 6, m: 2, w: 4, j: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2*s + 1 + 14, 0 = 4*z + 5*s + 86. Let q = -509 + z. Round q to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0234 and 125?\nAnswer: -2.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -31911450.3.\nAnswer: -31911445.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69024?\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2 = 3*p - p, 4*s - 20 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1104 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1202838119?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*j = -92*j + 9*g + 94774, 0 = 5*j - 4*g - 94769. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1\/(t*(t*t\/(t*t**(-12)\/t*t)*t)\/t))\/((t\/(t\/(((t\/(t\/(t*(t*(t*t**(2\/13))\/t)\/t)*t))\/t)\/t)*t*t)*t)\/(t**(-2)*t)) assuming t is positive.\nAnswer: t**(-145\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/7 + 3*v**2\/7 - 4*v\/7.\nAnswer: v*(v - 1)*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = y + 3, k + 2*y + 49 = -y + 2*y + 52 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) 94\/7 (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1448598773?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/32*((-381)\/153 + (-18)\/54)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*g + 855 = -12*g + 65*g for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.281 + -0.281. What is the closest to h in -2, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*j + 3 + 27, -4*j - 13 = -5*b. Suppose -l + 164 = -b*a - 22, a - 478 = -3*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 50 + 11 + -2 + -35.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 2:33 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1761380 = -4*s - r, -s + 2*r + 132164 = -308181. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + 24\/(190\/19 + -12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7\/2 + -3)*0. Let n(t) = t - 3. Let s be n(i). Which is greater: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-404)\/(-14) - (-14352)\/(-16744).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -67*f + 69*f. Let d(y) be the first derivative of 4*y + 4\/5*y**5 + f*y**4 - 11 - 2\/3*y**6 - 8\/3*y**3 - 2*y**2. Suppose d(a) = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*2325\/10220 + 4*1\/28. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**3\/7 - 691*k**2\/7 + 24391*k\/7 + 276219\/7 = 0.\nAnswer: -9, 47, 653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143223413.\nAnswer: 173, 701, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-25)\/10 + 136125\/18. Suppose -9*j + u = 9*j. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1856839 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0)\/(24\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/3))\/j**0*(j**(-1))**(-36)*(j\/(j\/j**7))\/(j**(5\/3)\/j*j)*j\/j**3*j\/j**4 assuming j is positive.\nAnswer: j**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/7 - (9 + (-43990)\/6300) and 37\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -6, -0.1, 1\/2, 2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/(-28) + ((-208)\/14 - -15)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Let b(v) = -2*v**2 + 2*v**k - 2*v**2 - v**3 + 5 - 5*v. Calculate the remainder when b(5) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -265.244 + 265. What is a rounded to two dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2160)\/60*(-7)\/(-14)*(-4)\/9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -115 + 5841308?\nAnswer: 5841183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*k + 66 + 283 = 73 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 4 + -2 + -4. Let i(d) = -d + 2*d - 2*d + x - 5. Calculate i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 2*p - 2*p)*(-14 - 3*p**2 + 14) + 0*p**4 - p**4 - p**4.\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -1) + -162 + 149?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -58 (b) -2.1 (c) -3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6586612085101 and 4.\nAnswer: 6586612085105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 350 by 5.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b**(2\/5)*b)))\/((b**(-1\/3)*b*b)\/b))\/((((b**9\/b)\/b*b)\/b)\/(b**(3\/2)*b)) assuming b is positive.\nAnswer: b**(-83\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4207*h**2 - 13*h + 35. Let i be j(15). Let t = i + -2096415. Round t to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from {n: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(136) + (sqrt(136) + sqrt(136)*-2)*2 + sqrt(136)))\/(3*-2*sqrt(72)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142 - -298. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4613, -4703, -4793, -4883?\n\"Answer: -90*h - 4523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**4 + 4797335*s**2 + 486*s + 66608 wrt s?\nAnswer: -12*s**2 + 9594670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 + 6*y + 1. Let j be s(2). Calculate the highest common divisor of 6 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*o - 29 = -0*k, -3*o = 5*k - 33. Let l be (12\/k + -1)\/(14\/18). Which is the third biggest value? (a) -5 (b) 1 (c) l (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 113256777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -0.2, 11, -37572\/7, 2?\nAnswer: -37572\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -71, 1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b + 16*b - 10*b + 3. Let z be u(-3). Calculate the smallest common multiple of 6 and ((-48)\/(-32))\/(z\/232).\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5*r + 930 = 0, 2*p - 357 = -3*r + 4*r. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176375 is divided by 16034.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 374122.6 days to microseconds.\nAnswer: 32324192640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1340 = -10*r - 1150. Solve 6*y + 39 = r*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1560 and 1081417740?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1646157 to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u. Let k(c) = c - 9. Let f be k(7). Let j be s(f). What is the units digit of 6\/j - (-150)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 90?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - x + 6. Let w be n(-4). Let t be 4\/w - 16\/(-24). Solve 5*j - 2*a - 12 = t, 0*a - 9 = -2*j + 5*a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -59*u**2 - 57*u**2 - 88*u**2 + 294 + 205*u**2 + 40*u. Determine x(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m. Let j be h(1). Suppose -4 = -4*o - j*d + 4, 3*o - 14 = 5*d. Let p = o - -7. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2535*s + 2504*s + 2530*s - 7559*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - z - 27 = 0, 2*a + 10 = -z + 33. Suppose 168 = a*c - 3*c. What is the highest common factor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9448 divided by 1?\nAnswer: -9448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + (1 - (11 - 8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1320 greater than or equal to -1314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1227764 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x. Suppose -o - 5 = -7. Let t(d) = 2*d**2 - d**o - d**2 + 2*d**2. Calculate z(t(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(-230 - -226)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 2, -514, -1 in descending order.\nAnswer: 21, 2, -1, -514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 2*x**3\/3 + 1. Let t(q) = -3*q**2 - 2. Let h(g) = 13*g**2 + 9. Let j(l) = 2*h(l) + 9*t(l). What is c(j(w))?\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f - 7. Let c(t) = -6*t + 9. What is -5*c(m) - 4*v(m)?\nAnswer: 10*m - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-190)\/20)\/19?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from iociooo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnttnnn. What is prob of picking 2 n?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30974665 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -276*a**3 - 6*a**2 - 8*a + 4. Let v(i) = -552*i**3 - 13*i**2 - 18*i + 9. Give -9*k(d) + 4*v(d).\nAnswer: 276*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + 2 + 3143 + -3178.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13175 (base 9) in base 4?\nAnswer: -2023001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*o + 2543996, 0*o + 3*q = o + 636012. Round o to the nearest 10000.\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6526729 and 7773.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 45*v - 3482. What is b(91)?\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbbp when four letters picked without replacement from {s: 3, b: 2, p: 4}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31899.1nm in kilometers?\nAnswer: 0.0000000318991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1457 + 2159. Suppose s - 200 = z. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 8) + (1 - -24 - 19). Let t be -2 - (-4)\/((-4)\/(-37)). Let i be (-150)\/t - 2\/(-7). Sort r, 1, i in descending order.\nAnswer: 1, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1133 = -4*s - 193, -3*s - 4*n + 708 = 0. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2160 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q + 4. Calculate m(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 67*z + 70. Give n(-34).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100362523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -151*x - 10566. Give d(-63).\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1703*p - 1095. Determine m(-2).\nAnswer: 2311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**2 - 10*v**2 - 8*v**2 - 2*v**2 - 103*v**2 + 141*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2513 + -15635350?\nAnswer: -15641163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 6:49 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -540671976 divided by -60074664?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m**(1\/2)*m)*m)**32*(m**(2\/9)\/m)\/((m*m\/(m\/(m*m*m**(5\/7)))*m*m)\/m) assuming m is positive.\nAnswer: m**(4694\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75 + 11\/((-77)\/14).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -23, -47, -89, -155, -251, -383, -557?\n\"Answer: -p**3 - 5*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 400 - 780. Is ((-15)\/5 - y) + -5 + 1 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 44*q + 32 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 4) in base 12?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.49615 + -1.45015. Let r = -49\/129 - -2\/43. Put b, r, -2 in decreasing order.\nAnswer: b, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*((j\/(j*j*((j**(-10)*j)\/j)\/j)*j)\/j)\/j*j))\/((j*j\/(j*j**(-11)))\/j))\/(j\/j**(-3))**(-13) assuming j is positive.\nAnswer: j**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-2\/3)*i*i)*i*i\/((i\/i**(-2)*i)\/i))**(4\/37) assuming i is positive.\nAnswer: i**(-28\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, -7, 5 in increasing order.\nAnswer: -7, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*y**3 + 441*y + y**4 + 129*y**3 - 125*y - y**2 to the form r*y**4 + m*y**3 + g*y**2 + b + n*y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1546 = 3*h - 4891. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r + 5. Let q(z) be the second derivative of -5*z**3\/3 - 2*z**2 + 327*z. Determine 5*p(h) + 6*q(h).\nAnswer: -5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 2\/10535?\nAnswer: 2\/10535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 493 and 40545277.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10597053 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, 29, 61, 105?\n\"Answer: 6*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -197 - 91. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*y - 360*y + 504 + 1974. Let z(g) be the second derivative of -g**5\/20 + g**4\/2 + g**3\/6 + 2*g**2 - 2*g. Give z(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27100000 to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 0*c + 0*c + (-c + 2*c**2 + c)*(-44*c + 52*c - 94*c) - 3*c**2 + c**3 + 3*c**2 in the form d*c**2 + h + z*c**3 + v*c and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n**2 + 2 + 132*n**2 + 16*n + 36*n.\nAnswer: 106*n**2 + 52*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 6 = 5*p. Solve -5*l - 19 = h + 1, -3*l + p*h + 11 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60, -190, -396, -672, -1012?\n\"Answer: g**3 - 44*g**2 - 5*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120388, -240482, -360276, -479764, -598940, -717798, -836332?\nAnswer: -954536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 141260, 282523, 423786?\n\"Answer: 141263*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/44370 and 31\/122292?\nAnswer: 301449780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 < 163247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226922 divided by -1113461?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2 + k + 3)*(-193865*k - 7479*k**2 + 193865*k).\nAnswer: -7479*k**3 - 7479*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24008997 and 339?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*p = 2484 - 2483, -1 = -3*f - p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5 + 2652*t**4 - 567267*t**3 - 8305818*t**2 - 36094212*t - 43545816 = 0. Calculate t.\nAnswer: -6, -2, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -539788*o**3 - 5*o + 539787*o**3 + 5*o.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 10. Let h be v(12). Calculate the common denominator of (10\/(-60))\/(1\/28) and 2291\/1305 - h\/(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9717647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32931941 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 549265 to the nearest integer?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1656.29893889 - -2.\nAnswer: -1654.29893889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-2)\/((-6)\/(-3)). Solve -2*y - 5*x = 19, -m*y - y + 2*x + 25 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 7 = -5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 + 35*d - 16. Let m(i) = i**2 - 2*i + 2. Calculate 6*m(s) + o(s).\nAnswer: s**2 + 23*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -5*z**3\/6 - 7*z**2\/2 + 18*z. Let g be u(-11). Let b = -48 + g. Solve y + 0*y - 3 = -3*k, y = b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -823184 * 0.1\nAnswer: -82318.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 16. Suppose -7 = -w - 1. Let f be v(w). Let c = f - 19. Is c equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*w = 55*w - 12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11258\/24 + 1\/(-3) + 474\/(-632) and 36.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6968\/107797 or -1?\nAnswer: 6968\/107797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902799309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 + 58553.\nAnswer: 58503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p + 36. Let n be g(12). Suppose n = -21*y + 7*y + 14. Let q be (y - 3)\/(12\/18). Let z(m) = -4*m - 3. Give z(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 4. Suppose 771*t = 777*t - 12. Which is the closest to t? (a) 0 (b) 0.5 (c) 0.1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31\/2 + -16. Let c = 7\/6 + z. Factor c*l**4 - 2\/3*l**2 - 2\/3*l**3 + 0 + 2\/3*l.\nAnswer: 2*l*(l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 44. Let m be 0 - (1443\/378 - 1\/q). Let o = m + 38\/9. Which is the nearest to -1? (a) 3 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/40)\/(45\/(-90)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**7)\/r**(4\/7)*(r*r**6)\/r**(-4) assuming r is positive.\nAnswer: r**(129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42709049 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m - 37 + 1 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*s**2 - 586*s**2 - 615*s**2.\nAnswer: -796*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 17, b: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - y - 451 = 0, 2*b - 3*y + 103 = 3*b. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1888 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0755753 + -196.0796953. Let v = -512 + 708. Let x = k + v. Round x to 4 dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, m: 1}. What is prob of picking 1 g and 1 m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 22, -13, 0, 2 in decreasing order.\nAnswer: 22, 2, 0, -13, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 15*a**2 - 21*a - 19. Is w(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5291261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(72))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p + 9. Let d(n) = 4113 - 8229 + 4119 + 2*n. Give 7*d(z) - 2*q(z).\nAnswer: 4*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**5\/140 + 19*r**4\/28 - 39*r**3\/14 + 12*r**2. Solve x(d) = 0 for d.\nAnswer: -39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a - 5*u + 2580 = 0, 5*a = 5*u + 4340. Suppose a = 2*m - 239. Suppose -18*l + m + 4110 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*-2 + 4 + -2. Let r = -27 - -23. Let d = j - r. Solve -2 = l + d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*f**2\/5 - 8476*f - 31001694\/5.\nAnswer: -2*(f + 1237)*(7*f + 12531)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7737.\nAnswer: 3, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-2)\/6 + (-560)\/(-120). Suppose -8*z + y*z = 0. Suppose -s + 41 + 49 = z. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11*m + 1. Let n(o) = -10*o - 1. Let y(p) = -6*k(p) - 5*n(p). Let d(f) = 11*f + 4. Calculate the remainder when d(5) is divided by y(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1353 = -2*g, 4*g - b + 3*b - 2694 = 0. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/4)\/h**(-3))**(-37))**(-15) assuming h is positive.\nAnswer: h**(8325\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13919?\nAnswer: 31, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 32 = -8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 9) in base 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 4*w - 4*w + (3 - 3 + 3*w - w + 6*w - 3*w + (3*w - 4*w + 0*w)*(2 + 0 - 1))*(1 - 3 + 4).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/30 - 2649\/(-18). Suppose 3*j + 42 = t. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.004835 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12442 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/1*(2 + 0). Find the second derivative of 0*i**5 - 3*i + 5*i - c*i + 3*i**5 wrt i.\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 660355*q**2. Let j(o) = -10*o**2. Determine a(j(p)).\nAnswer: 66035500*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgrkrc. What is prob of sequence cr?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11749485\/124 + -94755. Let u = 15381\/31 - 496. Let p = u - i. What is the closest to 0.1 in 4, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/128 and -13\/48.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*c + 634 - 62. Suppose 2*t = -2*p + 206, 0 = -0*t + 4*t. Suppose 31 = -4*u + p. What is the smallest common multiple of u and c?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 7565150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 + m**2 + 3*m + 1. Determine t(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3860 + -3509. Calculate the lowest common multiple of r and 117.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13575 and 227440075?\nAnswer: 4525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + (((sqrt(300)*-1 - sqrt(300)) + sqrt(300))*5 - (0 + sqrt(300) + 4)) + ((-4*(sqrt(300) + 1))**2 - (sqrt(300) + sqrt(300) + 1 + -5)**2).\nAnswer: 420*sqrt(3) + 3596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 - 780\/72) + 1\/(-2). Which is greater: 5 or z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2. Let w(l) be the first derivative of 2*l**2 + 0*l + 6 + 7\/24*l**4 + 0*l**3. Let a(f) be the second derivative of w(f). Calculate q(a(i)).\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -271.6 - -96.7. Let s = j - -186.93. Let p = 12 - s. Put 1\/4, 4, p in decreasing order.\nAnswer: 4, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.95 and -7?\nAnswer: 20.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/2, 2.6562, 3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8866 by 26.\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -300, -1, 2\/11, -2, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4509698 a multiple of 1040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 21857 - 8983. What is z rounded to the nearest 100?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -105, -209, -323, -453, -605?\n\"Answer: -o**3 + o**2 - 100*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 56\/120*-1*-6*(-4)\/(-42)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4298*r**3 + 14*r**2 + 9*r - 80. Let o(p) = 3438*p**3 - 11*p**2 - 7*p + 65. Let l(g) = -14*o(g) - 11*y(g). Find the second derivative of l(v) wrt v.\nAnswer: -5124*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzuuuvuuuuuvuuz. What is prob of picking 1 z and 1 u?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 128424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/60 and -19\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**10*((l**(4\/15)\/l)\/l)\/l*(l*(l**(-4)\/l)\/l*l)**(2\/7) assuming l is positive.\nAnswer: l**(643\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**2 - 1 - 45*v + 45*v - 27*v to c + j*v + s*v**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1.4, -2\/7, -25, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5439253 to the nearest integer?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 316 - 242. Let z = -73 + w. Let y be (-4)\/(-14) - (-16)\/(-42). What is the biggest value in z, -0.1, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 61*z = -57*z + 23 + 5, -5*t = -z - 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(208) + 4 + -3)*-3)**2.\nAnswer: -216*sqrt(13) + 16857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*w + 28*w + 9. Suppose w*g - 5*g = 0. Suppose -t + 9 + 21 = g. What is the remainder when 117 is divided by t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkrk when four letters picked without replacement from rkrkkrkrrr?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irriiiiniirninirn. Give prob of sequence nnni.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960)*4 - sqrt(960))\/sqrt(5).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4585 + 4587. Let o(m) be the second derivative of -m**5\/20 - m**4\/12 - m**3\/6 + 2*m**2 - 2*m. Let c be o(0). Solve -f + c = -k*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b - 10*b - 9*b + 10*b + 48*b**2 as a*b + i*b**2 + u and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 3*s + 3*s - 12*s - 24 - 7*s.\nAnswer: -19*s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 - u**2 + 2118*u**3 - u**2 + 6*u**2.\nAnswer: 2118*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 38064 = 4*v, t + 5*v = 2802 + 9886. Does 244 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-187 - (-61 - 68)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 567604.2 centuries in months?\nAnswer: 681125040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*f = -30, -v + 50 = 4*v - 5*f. What is the least common multiple of ((-24)\/v)\/((-4)\/10) and (-92)\/(-3)*9\/6?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 4, -2, -4, -3, -76 in descending order.\nAnswer: 4, -2, -3, -4, -33, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*p + 5*p**2 - 762 - 108 - 130 + 15*p + 20*p.\nAnswer: 5*(p - 8)*(p + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268) + -4*sqrt(2268)*1)\/((sqrt(81) - (sqrt(81) - (sqrt(81) - sqrt(81)*-6)*-2) - sqrt(81))\/sqrt(9)).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -9.1. Let i = -64\/135 + 2\/27. Which is the nearest to i? (a) h (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Let t be 12\/8*(-14)\/(-3). Let f(i) = -6*i - 7 + t + 3*i. Determine f(s(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 127*z**2 + 554*z - 355. What is the remainder when v(-122) is divided by 341?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1146603 or -16\/3?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/22 - 2\/11. Let r = 17838329\/1649035 + -13904\/1217. Let g = 2\/271 + r. Which is the closest to u? (a) g (b) -1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m - 8*m**2 - 591*m**3 + 4*m + 590*m**3 to the form w*m + s*m**3 + r*m**2 + g and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 751224485 a multiple of 2476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 388 and 776.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -23?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 10*g - 11. Let t be p(-8). Suppose 15 = 2*x + 4*o - 7*o, 25 = 5*x + t*o. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.557 - -2.557. Which is the closest to -5? (a) 1\/8 (b) 3 (c) -1\/2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 3*f**2 + 0 - 1)*(-156 + 6*f**2 + 156).\nAnswer: 12*f**4 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 206 and 38?\nAnswer: 3914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-810)\/(-189)*((-21)\/(-6) + 0). Solve 38*y = o*y + 115 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, -0.3, 3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 8*y - 15. Solve -w + 0*w - 3*p = -4, -y*p + 2 = 2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69 (base 10) to base 3.\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 11. What is the third biggest value in k, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 92.1 - 98. Let x = w + 5. Let k = 34.9 - 39.9. What is the closest to x in -4, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -4. Suppose 3*z + 0 = -4*y + 9, -y = -2*z + f. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyar when four letters picked without replacement from yaaagragaayyy?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -t - 43, 78 = 2*z - 3*t - t. Suppose -h - 3*s = 3*h - 71, 3*h = 4*s + z. Let x = h - 11. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Suppose -153*d + 156*d = 5*s - 14, -34 = 4*d + s. Let t be (d\/(-368))\/(o\/16*-1). Is t <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 118 and 208\/(-40)*15\/(-6) - 3?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/2, -235, -1, -5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 743363 to the power of 1\/2, to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1167 = 5*q, 5*u - 465*q + 1468 = -462*q. Which is greater: u or -285?\nAnswer: -285","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-1890)\/(-6885)*1?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -131221321310?\nAnswer: 131221321321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 200.681 millilitres?\nAnswer: 0.200681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 36179\/805) + (-2)\/35.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23)\/7 + 4\/14. Suppose k - 1 = -3. Is k <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 24. Let t be z(-11). Let j = 17 - 17. Solve -y - b = 0, j = t*y - y - 2*b + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.4 + 1.4. Let p = f - -1.3. Which is the second biggest value? (a) 4 (b) p (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42646 times 0.03?\nAnswer: -1279.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 459 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 10.8.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(6)*3 + (1 + sqrt(192))**2.\nAnswer: 19*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.31 - -0.01. Let k = -0.3 - 0.2. Let f = k - -0.6. What is the third biggest value in 0.3, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15937030 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + -1)*4 - sqrt(720) - sqrt(720)) + -4)**2 + -3.\nAnswer: -384*sqrt(5) + 2941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, y: 2}. Give prob of sequence cy.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 9*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 40 = 5*c, -2*n - 1783 = 5*c - 1795 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 299\/5 - 60. Let z = -1445\/22 + 131\/2. Which is the second smallest value? (a) z (b) m (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46521331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 11:23 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*z + z, -5*y + 2*z = -28. Let u be 1 + 1 + (2 - -1) + y. Let q(h) = 13*h - 24. What are the prime factors of q(u)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30579.\nAnswer: 3, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Suppose -3*n + o = -4*n + 3*t, -t - 26 = -3*n. What is the remainder when 29 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522 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: Let q be (-2)\/(-8) - (-196)\/336. Let x(i) be the second derivative of -q*i**3 - 1\/4*i**4 + 1\/20*i**5 - 3\/2*i**2 + 0 + 2*i. Determine x(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -21*m + 34. Sort -1, 6, -2, m, 5 in decreasing order.\nAnswer: 6, 5, m, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19838854, 39677707, 59516560?\n\"Answer: 19838853*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12275854, -24551718, -36827582?\n\"Answer: -12275864*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 11?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + c - 5*c - 47, 5*c = -5*j + 55. Suppose 140 = -6*d + j*d. What is the highest common factor of d and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2882.4936 hours to weeks.\nAnswer: 17.1577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 - -7.6. Let z = w - 12. Which is the nearest to z? (a) 5 (b) -1 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 288, 657, 1174, 1839?\nAnswer: 2652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0 (c) 0.0214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - -383. Let k = x + -3158\/7. Factor 4\/7 + k*m**2 + 10\/7*m.\nAnswer: 2*(m + 1)*(3*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*w**3 - 1812*w**2?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5. Suppose -4*t = -f*t. Which is smaller: 3\/8 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4983, 10357, 16137, 22323, 28915, 35913?\n\"Answer: 203*i**2 + 4765*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 124*k**2 - 248*k**2 - 11*k**3 + 123*k**2 - 5*k**4 + k**4 in the form h*k + c*k**2 + u*k**4 + p + r*k**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ai when two letters picked without replacement from akkkkikiakkikiak?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -456*-277329.\nAnswer: 126462024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c\/(c*c**(-2\/11))))**(-26)\/((((c**(1\/9)\/c)\/c)\/c)\/c*c\/((c\/(c*c**3*c))\/c)) assuming c is positive.\nAnswer: c**(2833\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41569 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -82, -3, -2\/9 in descending order.\nAnswer: 5, 2, -2\/9, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -36*l**2 + 6*l. Give k(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 1. Let z be -1*(3 - 1)\/(2\/3). Give l(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - -7dc1?\nAnswer: 7dd9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/77 and 13\/149408.\nAnswer: 1643488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 660396179 to the power of 1\/2, to the nearest integer?\nAnswer: 25698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134*-502389.\nAnswer: 67320126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4 - 0. Let i(n) = n**2 - 6*n - 6 + n**2 - 3*n**h. Let y(p) = p**2 + 5*p + 5. Let f(j) = 5*i(j) + 6*y(j). Let d(k) = k. Calculate f(d(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - k)*((1 - 2 - 1)*(-3*k**2 + 7*k**2 - 2*k**2) - 119*k**2 + 2373 - 2373).\nAnswer: -246*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2896, 2895, 2894, 2893, 2892?\n\"Answer: -l + 2897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1698, -1970, -2250, -2538?\n\"Answer: -4*g**2 - 260*g - 1434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.00496, -3, 63?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -247\/7 or -36?\nAnswer: -247\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*d - 8. Let z be d - 4\/4*-142. Suppose 0 = 2*j + 2 - 38. Calculate the greatest common divisor of z and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 10. Let f = -1\/447 - -19225\/1788. Let v = f + -11. Which is the smallest value? (a) s (b) v (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3909943.4 and 0.8.\nAnswer: 3909944.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -135, 500, 1559, 3042?\n\"Answer: 212*u**2 - u - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -4\/621 (c) -0.2 (d) -1 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -280*q + 1978. Give i(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18328393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -5. Let a = 0 - g. Solve 2*c - 7 = 3*z - a, 5*c = 5*z + 20 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756395 is divided by 439.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 12*s**2 - 10*s - 25. Let d be 299\/26 - 2*(-2)\/(-8). Let u be j(d). What is u rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**2 - 65*j**6 + 459 - 455 + 3*j**2 - 6*j**6 + 5*j**6 wrt j.\nAnswer: -7920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003172 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - ((-4)\/(-10) + (-66)\/15). Suppose 0*h + 5*h - 15 = 0. Calculate the greatest common factor of o and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.67 - 0.63. Let i = -2.3 - o. What is the smallest value in -1\/3, i, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146571185 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 8*p + 12. Let c be k(-9). Let n be ((-9)\/(-6))\/3*0. Differentiate 0 - 5 - 6*q**3 + n + 3*q**c with respect to q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 3. Let l be h(-5). Let n(i) = i - 1. What are the prime factors of n(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3073334.8 and -1881.44?\nAnswer: 3075216.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -4 (c) 2\/2151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/14*(104\/24 - 2). Solve -2*v - 3*d + 16 = -6*v, 0 = v - u*d + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7903?\nAnswer: 7, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70767.0273685 - -70767. What is w rounded to three dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2064 - 720. Let m = -552 + t. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15*(-4 + (-3)\/(-1)). Let t = 21 - u. What is the first derivative of -m**4 + t*m - 3 - 36*m wrt m?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2966 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22\/3 or 154595?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1801833.\nAnswer: 3, 11, 54601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -22 - (5 - (5 + -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.33 and -5699756?\nAnswer: 5699753.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23247, 46493, 69739?\n\"Answer: 23246*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21339828 is divided by 59113?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4273637 to the nearest integer?\nAnswer: 2067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180788593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33, 69, 385, 1023, 2091?\n\"Answer: 18*t**3 - t**2 - 21*t - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) -5 (c) -314 (d) 4\/15 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-25)\/10*(-10)\/(-50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.29 in 104, -38, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6255 - -203?\nAnswer: -6052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -13. Suppose 13 = 2*m + 5*b, 0 = z*m - 3*b - 3 - 10. Let p be 10\/m*8\/130. Do -1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184861*d + 369714*d - 184853*d + 31*d**2.\nAnswer: 31*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s**3 - 4 + 2 + 2.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4020 divided by 5\nAnswer: -804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2727013356?\nAnswer: 2, 3, 75750371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 3. Let k(n) = 76*n - 42. Suppose -b = 39 - 34. Let l(q) = b*f(q) + k(q). Differentiate l(o) wrt o.\nAnswer: 71","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 144 + -149. Which is the third smallest value? (a) y (b) -4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -894652, -1789305, -2683958?\nAnswer: -3578611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Let x(o) = -2*o - 4 + 10 - 7 + 13*o**i. Is x(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*a - 3 - 29 = 220*a + 8*s, 0 = 2*s - 10 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 3481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60 or -98?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 3*j + 219 - 255, a + 3 = 4*j for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -109629 divided by -1?\nAnswer: 109629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -57*d**2 - 2397*d - 132. What is x(-42)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -i + 4. Let f = 22 - 7. Suppose i*n - 2*n = -f. Which is the closest to -1? (a) 4 (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 494537.\nAnswer: 29, 17053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1011 + -1011.2445. What is k rounded to 2 dps?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 2*i - 362. Let w be l(0). Calculate the common denominator of 121\/12 and w\/(-68) + -4 + 0.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -0.01, -0.3, 0.4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:51 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 515, 2138, 4797, 8450, 13055?\n\"Answer: -7*d**3 + 560*d**2 - 8*d - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8003867*o + 6655935.\nAnswer: 8003867","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**3 - 7*x**2 - 3*x + 6. Let d be w(-4). What is the greatest common factor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*a**2 + 44*a + a**6 - 22*a - 17*a**5 - 23*a + 10*a**2 wrt a.\nAnswer: 120*a**3 - 1020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 10*k**2 + 11*k - 2. Let j be y(9). Let c(n) = 14*n**2 - 1. Let q be c(-1). Let p = j + q. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2510 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2100 - 2092. Let f(w) be the third derivative of -5\/18*w**3 + 1\/9*w**5 + 0 - 5\/24*w**4 + 0*w + y*w**2. Factor f(t).\nAnswer: 5*(t - 1)*(4*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/15 - 32\/15 = 0 for v.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 246 + 84. Let f be (-9)\/(z\/6) + 38. Let r = -28 + f. What is the remainder when 21 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(117) - sqrt(117)*-2)*6*1)\/(-3*-4*sqrt(9) + (sqrt(9) + 3*(sqrt(54)\/sqrt(6) + sqrt(9)) + sqrt(9) - sqrt(9))).\nAnswer: -36*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38114, -38274, -38462, -38690, -38970, -39314?\nAnswer: -39734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5158423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**3\/3 - 4*y**2 - 7*y - 9. Calculate a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 times -7460\nAnswer: -746000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106 plus 12.6863?\nAnswer: 12.5803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -854 - -850. Let r = 49 - 45. What is the nearest to 7 in r, -5, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1302 (b) 7 (c) 0.03 (d) -2 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6)*(0 - -12). Let n be 2\/1 + (94 - s). Suppose v - 5*v = -n. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n**2 + 97*n - 282. Is p(-34) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (-7 + (-3 - 676)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63929, 63108, 62287?\nAnswer: 61466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -11*b + 3. Let g be w(-3). Suppose g = 4*n - 2*r - 8, 5*r - 20 = 0. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 250?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 13775*b**2 - 1628*b**3 + 8130*b**2 - 25647*b - 1326*b - 5*b**5 - 1707*b**3 + 215*b**4 - 27107*b + 43940 = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 188900 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) -8 (c) -3\/49 (d) -1 (e) -2 (f) -4 (g) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 183124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1218899 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -287456, -574930, -862402, -1149872, -1437340?\n\"Answer: n**2 - 287477*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5) - 96\/(-90)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 152, -45289, -4 in descending order.\nAnswer: 152, -4, -45289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -9. Suppose 0 = f - 5*f + 28. Suppose 3 = -s + 2*b, s = -b - 1 + f. Sort g, 4, s in descending order.\nAnswer: 4, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*q = 32, -q - 12 = -4*q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2\/5 - 12*g\/5 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + s + 35916, -8*c + 4*s - 53863 = -11*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + -1 + -3 + 6. Suppose -2*b - 84 = -y*b. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -7. Solve -5*q - 2 - 5 = 3*u, -h*q = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -2681 in increasing order.\nAnswer: -2681, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 179 - 155. Determine a, given that 200*a**2 + 4*a**3 - 398*a**2 + 202*a**2 - p*a = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -7. Let y be 3 - (-3 + z - 2). Suppose -17 + 1 = -y*g. Sort g, 0, -4 in ascending order.\nAnswer: -4, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.13 + -1.03. Let t = u - 5.1. Let j = 5.8 + t. Which is the nearest to -1? (a) 5 (b) -2\/15 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c + 6 + 11*c - 9*c with respect to c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 925261676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -522\/2627?\nAnswer: -522\/2627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 22*o**2 - 166*o + 488. Give s(3).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (12\/10)\/(2\/35*-14)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 2 + -3 - (-2 - -12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -13. Suppose -5*s + d = -20. Suppose -2*v = s*n - 0*v - 245, 0 = 2*v. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 990 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.46772l in millilitres?\nAnswer: 47467.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 868598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*g**3 - 20*g**2 - 17*g**2 + 63*g**2 - 18*g**2 - 7*g**2.\nAnswer: 151*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 + 0.21. Let d = 0.11 - 4.11. Let x be ((-4)\/11)\/(15\/(1980\/(-168))). Which is the closest to -13? (a) x (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, 0.5, 1\/3, -1.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/27)\/((j*j*j*j**(1\/18)*j*j)\/j*j))\/(j**(6\/7)*j**(-1\/6)) assuming j is positive.\nAnswer: j**(-1100\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 8 - 6 - 10 - ((5 - 27) + 95).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/7 - 870*z**2\/7 + 42591*z\/7 - 41724\/7.\nAnswer: 3*(z - 228)*(z - 61)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 30 (b) 0.4 (c) 0.4870578\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -6 (b) 0 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.06 (b) 0.3 (c) 443\/4 (d) 0.4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 6*v - 20. Suppose 0 = -21*r + 26*r - v. Solve -3*q = 3*c, -4*q - 2*c = -11 + r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-114)\/12)\/((-2)\/4). Suppose -5*j + 16 = -c. What is the highest common divisor of j and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 2779218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s. Suppose -3*w - 11 = -5*l + 4, 5*l - 15 = -3*w. Let d(u) = 3*u - l*u - 2*u. Give t(d(b)).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 133 (b) -23 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-14)\/(-12) - 1). Let u = 475 + -492. Let s = u + h. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -174*a. Let x(b) = -2*b**2 + 283500. Determine d(x(m)).\nAnswer: 348*m**2 - 49329000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45349010 to the nearest integer?\nAnswer: 6734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4\/3 - 7543*g**3 - 42668865*g**2 + 128029225*g\/3 = 0. Calculate g.\nAnswer: -11315, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 14058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((-18)\/24)*-3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4389)\/1265 + (-255)\/1955.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(140) - (sqrt(140)*-2*4 + sqrt(140)))\/(sqrt(100)*-1))\/(sqrt(84)\/sqrt(3)*-2 + sqrt(448)*3))**2.\nAnswer: -12\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45905595 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 183*f + 1252. Give g(-84).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 113603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-1)\/3)\/(645\/(-3870)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*c - 79*c - 2530 = 0. Suppose -c = -15*q + 25. Let d(p) = 3*p - 22. What is d(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-278)\/(-3)*(-8 - -17). Let k = 1305 - a. Let n = -286 + k. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-30)*(2\/(-110))\/((-712)\/(-10680))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -20. Suppose -o = -3*c + 37. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17649.1 - 17649. Let t = -12 - -12.5. What is the third biggest value in n, t, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-3))**(-1\/11))**22 assuming c is positive.\nAnswer: c**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*t + 4440 - 1573 = 1392 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2, 4*y + 11 + 7 = -5*f. Let p(t) = -t**2 - 7. Suppose s = 2, -2*s = -h + 2*s - 8. Let b be p(h). Do b and y have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 5 + 1 + 0*m)*(42*m**2 - 7*m**2 - 6*m**2 - 1).\nAnswer: 58*m**3 - 116*m**2 - 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -9. Let b = 14 + 4. Let n = b + h. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5212 = b, -t - 4*t + 5*b = -5200. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/16)\/(4\/48) + (-306)\/27?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b + 5\/12*b**4 + 1\/3*b**3 + 0 + 2*b**2. Let x(j) = j**2 + j + 1. Calculate -d(y) + 4*x(y).\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0636 + -0.0364. Which is bigger: -2\/619 or g?\nAnswer: -2\/619","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49508.\nAnswer: 2, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, c: 1, r: 3}. What is prob of sequence drc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/((-20)\/(-36)) - 2. Let c(f) = -4 + 11*f + 0 - 1. Let z(j) = -6*j + 3. Suppose 14*u = 56 - 0. Calculate m*z(n) + u*c(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13451.63 kilometers to millimeters.\nAnswer: 13451630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1403 + 0*y - y + 1403.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 9*o - 2. Let t be w(-13). Let c be 1137\/t - 24\/6. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*m - m**3 + 1\/3*m**4 + 0 + m**2.\nAnswer: m*(m - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239374828887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 10*y - 8. Suppose 3*m = -3*f + 6, -5*f + 4*f = 2*m - 4. Solve -y = -f*g - 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10 and -21.626871.\nAnswer: -31.626871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1.45.\nAnswer: -7.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m = 0. Suppose m = n + 3*n - 32. Suppose -b = 4*b - 10, -2*a - n = -4*b. Is -1 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412100 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, 87, 0, -171?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)\/c*c\/(c**8\/c))\/((c**1\/c*c*c)\/(c*c**(17\/5))) assuming c is positive.\nAnswer: c**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*n + 24 = 0. Suppose 3*a + 9 = n. Let l(c) = c**2 + 312*c - 22745. Let h be l(61). Is a equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1308, 1169, 1030, 891, 752, 613?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1729, 1872, 2133, 2530, 3081, 3804, 4717?\n\"Answer: 3*h**3 + 41*h**2 - h + 1686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 13.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1350*c + 14880 = 885*c for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71774 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(2*sqrt(1728) - sqrt(1728)) + -2)**2.\nAnswer: -sqrt(2)\/3 + 289\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - -23322322?\nAnswer: 23323101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**2 + 30*l + 69. Let h be g(-12). Solve h = 4*o - 7*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 + 11*k - 3. Determine m(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**5\/15 + 7*x**2. Let l(c) = c. Determine s(l(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 + -8)*(2 + -1). Suppose -a*i + 26 + 31 = 0. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -60, -266, -618, -1116, -1760?\n\"Answer: -73*h**2 + 13*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:53 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -22. Let f = s - 14. Put 1, f, -0.2 in descending order.\nAnswer: f, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i. Let v(n) = 13*n**2 - 71*n**2 + 24*n**2 - 87*n**2. Give v(f(w)).\nAnswer: -1936*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = h - 6330. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v**2 - 5*v. Let k(w) be the first derivative of 2*w**3 + 2*w**2 - 413. Give 6*k(y) + 5*r(y).\nAnswer: 6*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145 + -145. Calculate the remainder when 254 is divided by p\/(-2) + 4*(-102)\/(-8).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -843, -1435, -1783, -1863, -1651?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -p - 4, 15 = 4*g + 5*p - 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.18? (a) 0.1 (b) -106 (c) 4\/5 (d) -5 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 + 1438 = 218*o - 1122 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100 (base 2) to base 12.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41656?\nAnswer: 2, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -62386e - 6?\nAnswer: -623874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 1, z: 4, h: 3, c: 1, i: 3}. Give prob of picking 2 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from bbjbbffcfffes?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004323 to four dps.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11229)\/109 + (-9884)\/(-538678)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 8:58 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m. Let h(s) be the third derivative of s**7\/2520 + s**5\/60 + s**2. Let w(o) be the third derivative of h(o). Determine r(w(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (7901 - 7815) + (0 - -2 - -8)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 315506 + -1893035\/6. Determine n, given that 50\/3 + v*n**2 + 10\/3*n = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 427 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-91)\/(-21))*((-64)\/12)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 478445173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 7 = t, 0*y = y - 4*t + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 - ((84 - 24) + -33 + 20)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0)*(-3)\/6. Let o be 2 + f + -2 - -2. What is the derivative of 46*k - 46*k + 2*k**o + 3*k**2 + 11 wrt k?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -v**5\/120 - v**4\/8 + 14*v**3\/3 - 21. Let y(i) be the third derivative of j(i). Give y(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222110010 (base 3) to base 7\nAnswer: 110133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 - (8 + -204 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 0 - 3)*(1 - 1 + z) + z + z - z)*(-2*z - z - 50*z).\nAnswer: -159*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (6 + 0 - 129 - 4). Let y(f) = b - 132 - 484*f + 481*f + 3*f**2. Let g(q) = -q. Determine -6*g(v) + 2*y(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -449, -1804, -4057, -7202, -11233, -16144?\nAnswer: -21929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16749.\nAnswer: 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 7*l - 20. Let j be u(9). Let g be 12\/20*j - -2. What is the second smallest value in 0, g, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tddddddddttddd. What is prob of picking 4 d?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 293486357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20120122012012 (base 3) to base 12.\nAnswer: -1207488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (19\/(-7) + 1)\/(7\/(-147)). Suppose p - w = -17*p. Suppose q + 6 = -p*t, 3*q - 4*t - 26 = t. Solve -5*h - 23 = -4*v, 0 = 5*v + 3*h + 1 - q for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/33 - (-517)\/(-847).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.41 + 9.34. Let y = m + 0.25. Let r = -18 + y. Which is the second biggest value? (a) r (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -547 or -1023.122?\nAnswer: -1023.122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.6 and -81.1891 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -50*c - 1. Let r(q) be the second derivative of -q**3\/6 - 3*q - 56. Give r(y(u)).\nAnswer: 50*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + 8 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, h: 2, e: 2, d: 3, s: 3, v: 1}. Give prob of sequence sh.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/23, -3083, 4 in ascending order.\nAnswer: -3083, -2, -2\/23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, z: 15}. What is prob of picking 2 s?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + 97512115*r - 9508612571773225\/2.\nAnswer: -(r - 97512115)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 645.\nAnswer: 1935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-3)*(0 + 1). Let d = 7 + l. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16a (base 14) to base 3.\nAnswer: 101202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23166)\/2002*(-28)\/(-6).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6083*v + 3034 = -6001*v for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.64 + -0.36. What is the nearest to 6 in 0, -0.3, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 2. Let f = -9 - -5. Let t be y(f). What is the second derivative of 88*z**2 + 0*z**5 + 3*z**5 - z - 88*z**t wrt z?\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 133 = d, 2*h - 354 = -3*d + 5*h. What are the prime factors of d?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10*o - 44. Calculate the smallest common multiple of 8 and s(-13).\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 + 3*g**2 - 11*g - 10. Does 6 divide n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 5*n - 374 = 0. Suppose n + 73 = l. Suppose -5*y + 260 = -2*s, -y - l = -6*y + 3*s. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*k**2 + 162*k**2 + 16*k**2 + 85*k**2 - 29*k**2.\nAnswer: 439*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 1\/3, -0.1, 7, -0.05, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, r: 1, g: 2, z: 2, a: 4}. Give prob of picking 1 z, 2 a, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p*z**4 - 567194*p*z**3 - 5445*p*z**2 - 4*z**2 - 1 wrt z?\nAnswer: 48*p*z - 3403164*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12100 + 10042121?\nAnswer: 10030021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 + 23 + 15)*(2 - d - 2).\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 7*w - 3. Is z(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121997237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-75) - (-6)\/(-5)*2. Suppose 0 = v - 4*v. Let r(m) = -m**3 - 5*m**2 - 3*m + 5. Let i be r(-4). Sort a, i, v in descending order.\nAnswer: i, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r + 0*r - 2*r)*(-8 + 8 - 22*r) as k + z*r + t*r**2 and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 138 and 19.\nAnswer: 2622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 + 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = 2*r + 27675*a - 27674*a + 10, -5*r + 3*a - 14 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 72 + 19. Suppose 0 = -j*a + 22*a - 1197. List the prime factors of a.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 11:53 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 640*l**2 - 4*l - 11. Is n(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from kukeuueukkuu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 9*a + 3. Let o be v(4). Suppose -o = -14*r - 9. Is r equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4738798*n - 4 + 4737545*n + 4.\nAnswer: -1253*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15957 and 24192?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4712 + 4734. What is the fourth smallest value in 3, y, 18, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - d**2 + d + 14. Does 6 divide s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28503, 29085, 29667, 30249, 30831, 31413?\nAnswer: 31995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 1. Let x be a(-8). Let q(l) = -3*l - 15. Let t be q(-6). Suppose 4*m = y + 3*m - 1, 0 = 2*y - 4*m. Solve -t*h = 5*b - 8*h, -x = 5*b - y*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 15\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 889, 3038, 6457, 11146, 17105, 24334, 32833?\nAnswer: 42602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dktsdbd. What is prob of picking 1 d and 1 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1433319*i**3 - i**2 - 3657166*i - 2 wrt i.\nAnswer: -8599914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22857 is divided by 3242?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - s**2 - s. Suppose 0*r = 2*r - 8. Is b(r) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q = 12. Let x be (2\/(-3))\/(8\/q). Which is the third biggest value? (a) 0.2 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 271 - 215 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*l - 15 = 0, -3*f - 12 = -0*f - 4*l. Suppose f = 8*t - 5*t - 60. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Suppose -2*f + f + 2 = j. Factor 5*v**3 - 2*v - 2*v**3 + v**3 + 0*v**3 - f*v**5.\nAnswer: -2*v*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0150317 - 0.1009078. Let o = b + -229.8968239. Let a = o - -230. Round a to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 1\/3*k**3 - 52\/3*k**2 - 224\/3 - 220\/3*k = 0.\nAnswer: -2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/9 + 12349826*y\/9 - 4116608\/3 = 0.\nAnswer: 1, 6174912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(38\/40 - 1). Let g = -25 - b. Suppose 2*x - g = -3*x. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -279*a + 428 - 366*a - 428 as j + p*a and give p.\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1 + sqrt(243) - (-5 + sqrt(12)))**2.\nAnswer: 192*sqrt(3) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/136, -0.0685, -5 in decreasing order.\nAnswer: -3\/136, -0.0685, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/27 bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1558 and 1102?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 177 = 3*y. Let j = y + 62. Suppose -5*u + 5497 = 3*v, -2*v = -7*u + j*u + 4380. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/2177 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 214, 280, 432, 712, 1162?\n\"Answer: 7*b**3 + b**2 + 14*b + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -15?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71563 + 71888.59. Let y = z - 328. Round y to 1 dp.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -10 - 22. Let a = -12 + d. Suppose c - w = 21, 3*c + 51 - 149 = -4*w. What is the remainder when c is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556365213?\nAnswer: 3, 20606119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -370, -556, -742, -928, -1114?\nAnswer: -1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((80\/12)\/(-2))\/((-4)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1197\/5 + 239. What is the biggest value in -0.5, a, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 0*j - 13*j**2 + 1\/15*j**4 - 8\/525*j**7 - 2\/15*j**3 - 2\/75*j**6 + 0 + 1\/25*j**5. Determine r, given that m(r) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 354*y + 76. Let n(v) = -354*v - 115. Give 3*m(x) + 2*n(x).\nAnswer: 354*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5374.669 millennia in years?\nAnswer: 5374669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 0*a + 0*a + (7 + 0 - 3 + 1 + 2 - 2 + (1 - 2 + 3)*(0 + 1 + 1))*(-4*a - a + 3*a).\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 1 = 10. Solve x*u = u + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 2*n + n)*(-2*n**3 + 2*n - 2*n) - n**4 - n**4 + 5*n**4 + (0 + 2 - 1)*(2*n**4 - 2*n**4 + n**4) as o + b*n**3 + u*n + g*n**2 + q*n**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7355 > -16640?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 9*v**2 + 9*v - 6. Let g be y(8). Suppose 0 = g*d + 6 + 4. Let z = d - -13. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 54 + 54. Let u(g) be the third derivative of 0 + f*g**3 - 1\/30*g**5 + 0*g**4 - 8*g**2 + 0*g. Let y(k) = -10*k. What is u(y(r))?\nAnswer: -200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -2*-3*sqrt(77))\/(sqrt(77)\/(sqrt(11)*-3) + sqrt(7)) - 2*(-1 + -1 + -6*sqrt(33)\/sqrt(3)).\nAnswer: 4 + 45*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (8 - (7 - 7))) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 2*x**2 + 2*x**2)*(-3*x + 2*x - x) + 8*x - x - 2*x**3 - x.\nAnswer: -4*x**3 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 34773*o + 17409*o + 17381*o.\nAnswer: 17*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5680 and 292496570?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*u + 5, u - d = -6*d + 20. Let o(n) = -2*n**2 - 2*n - 4. Let j(a) = -3*a**2 - 3*a - 7. Give u*o(t) + 3*j(t).\nAnswer: t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -601*w**3 - 6*w**2 + 6*w + 18. Let a(z) = 20433*z**3 + 203*z**2 - 203*z - 609. Calculate 6*a(p) + 203*f(p).\nAnswer: 595*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 + 82. Calculate the least common multiple of 48 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 - 88 - 174*z + 49 in the form a + d*z and give d.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4\/4 + 2287737*k**3\/4 + 2287725*k**2\/2 - 2287737*k - 4575462 = 0. Calculate k.\nAnswer: -762577, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1930753, 3861564, 5792375, 7723186, 9653997, 11584808?\n\"Answer: 1930811*z - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62279873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*d**3*l*r**3 - 2*d**3 + 148*d*l*r**3 - 22*d*l*r**2 - l wrt r?\nAnswer: -90*d**3*l + 888*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.28 + -0.87. Let q = 4.41 - b. What is the second smallest value in q, 0.1, 17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 21 + 25 - m - 49. Calculate h(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 2*p + 1)*(-11 - 18*p + 11) as x*p + l*p**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (647 - (14 - (-4 + 10))) + 1 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h + 19 + 15 + 20 + 17 - 70. Let y = 16 + -24. Let v be 2\/(-8) - 10\/y. Determine s(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 13*n**2 - 6*n - 5. Let c(w) be the second derivative of -w**4 + 5*w**3\/6 + 2*w**2 - 7*w + 22. Give -6*c(b) - 5*t(b).\nAnswer: 7*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 3. Let c be ((-1)\/(-3)*0)\/(-1). Suppose -28*a + 31*a = c. Solve -f - 2 = -k + f, -k + 4*f + o = a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 + 93. Let d(p) = p**3 + 7*p**2 + 5*p - 5. Let c be d(-6). Suppose c + 9 = 2*l. Calculate the highest common divisor of i and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259420643.\nAnswer: 2833, 91571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9116151 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 7*o**2 + 12327*o - 5. Calculate z(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/2 + 9 + -2. Suppose 52 - i = -b + 5*g, 0 = -b - 5*g - 26. Let t be (48\/b)\/((-2)\/3). Solve 0 = t*r - 7 + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450)*1 - sqrt(450) - sqrt(450))*-3*-1 + 4)**2 + 3.\nAnswer: -360*sqrt(2) + 4069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 164659000 rounded to the nearest one million?\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*12\/2940*-7*(-10)\/3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 5:18 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2102474, -4205157, -6307840, -8410523, -10513206, -12615889?\n\"Answer: -2102683*q + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*z - 7 + 30 - 115*z - 23.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by 23\nAnswer: -34\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 2*i - 3. Let m be a(-3). Which is greater: m or -74\/5?\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - (-1 - 2) - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16*1*(-20)\/(-8). Suppose -2*r + z = -0*r. Calculate the greatest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(22\/11)*(-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 185432579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-2))\/((-14)\/(-2)). Let l = 31 + -32. Which is greater: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 14. Suppose -3*v = -4*v + n. Suppose v = 2*g - 19. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/6)\/(2\/(-84)). Let d be -7 - 1 - -5 - (-1 + -40). Suppose -d*y - 1 = -39*y. Sort y, 0, r.\nAnswer: r, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -15*k**2 + 13*k. Let h(i) = 29*i**2 - 26*i. Let q(n) = 7*d(n) + 3*h(n). What is the second derivative of q(w) wrt w?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025965 less than 2.2?\nAnswer: 2.174035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 4*u + 3*u)*(5*u - 2*u - 2*u) + (-u - 3 + 3)*(3*u - 3*u + u) + (-1 + 4 + 0)*(3*u**2 + 0*u**2 + u**2).\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/144 and -93\/128?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 8:33 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + -13 + -12 + 21 + (1 - 64)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*v**6*x**2 - v**2*x - 84*x**2 wrt v.\nAnswer: 8040*v**3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 + 82. What is the derivative of -14*g**o - 3 + 16 + 17 wrt g?\nAnswer: -28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 443577771 and -5?\nAnswer: -2217888855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + -2. Let g = 12 + y. Suppose -2*v + 6*v = 0. Is g > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - o - 11. Let w be a(0). Let k = 27 + -29. Let x = k - w. Calculate the highest common factor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3512912*x**6 + 429*x**2 + 556 wrt x.\nAnswer: -421549440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1140, -2273, -3408, -4545, -5684?\n\"Answer: -j**2 - 1130*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6.3. Let j = -170 + 123. Let s = j - -42. Which is the nearest to -0.1? (a) z (b) 14 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/10 + 937*z - 16714299\/10.\nAnswer: (z - 1533)*(z + 10903)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -21*w**2 + 2633*w - 999. What is r(125)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -103*q + 56. Let g(v) = -v**2 - 3*v + 3. Let i be g(-4). What is the biggest value in 1, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*u**2 - 198*u**2 - 3*u + 8*u**4 - 9 + 260*u**2 + 2*u**3 to i + k*u**2 + d*u**4 + x*u + r*u**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 643820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**3\/2 + 3*q. Let c(b) = -43*b**2 - 47*b**2 + 88*b**2. Give r(c(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -152, -2, -26, -42?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - k - 7 = -5*g, -2*k - 6 = -2*g. Suppose -5*x - 2*p = -6, 4*x + 0*x - 4 = -g*p. Solve 18 = -5*z + v, 3*v - v - 12 = x*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 4*x - 3*x)*(x - 5*x + 3*x + (-2 + 2 - 1 + 4 - 2 + 0 + (-4 + 1 + 2)*(1 - 3 + 5))*(-x + 2*x + x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 - 7*n. Let o(s) = 2*s**2 + 7*s - 1. Let p(v) = 11*v**2 + 32*v - 5. Let x(c) = 10*o(c) - 2*p(c). What is -5*w(m) - 6*x(m)?\nAnswer: -3*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 9*h**2 - 14*h - 25. Let l be o(-7). Solve 164*j = l*j + 35 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1 - 0) + -2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*a = 5*r + 25, r + 5 = 4*a. Let b(o) = -252*o + 13. Let q be b(r). Suppose 1233 = 2*p + 4*c - q, 4*p - c = 4967. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(1*sqrt(88))\/sqrt(4))\/(((sqrt(110) - (sqrt(110) + sqrt(110) + sqrt(110)*1 + sqrt(110) + sqrt(110)))\/sqrt(11))\/sqrt(5)).\nAnswer: -5*sqrt(11)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 53, 102, 151, 200?\n\"Answer: 49*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, f: 9, p: 2, k: 6}. Give prob of picking 4 f.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46327889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hchhqhhhcmhchhh.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 40*r - 93. Give d(6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2803261 to the power of 1\/2, to the nearest integer?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqq. Give prob of picking 3 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -168 + 176. What is the nearest to 1 in r, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 1 (b) -3 (c) -1.7 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/14)\/(((-64)\/112)\/(-4))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**2 - 293*r - 4986. Calculate y(-57).\nAnswer: -1281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8808, -18115, -27424, -36729, -46024, -55303, -64560?\nAnswer: -73789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/10)\/(-4))\/((-4)\/5).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1432 + 1432.03. What is the third smallest value in l, 1.88, 0?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2412, 4823, 7234, 9645, 12056, 14467?\nAnswer: 16878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 72*p - 153*p = -83*p - 58, 5*a + p = a - 35 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.66 + -2.76. Let x = 1.95 - -0.05. Which is the third smallest value? (a) x (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -69, -662, -1663, -3072?\n\"Answer: -204*c**2 + 19*c + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 3, i: 1, z: 5, t: 2}. Give prob of sequence zzl.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2630 + -52611\/20. Let n = -17\/20 - r. Is -4\/9 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 432974236?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o - 41*o**2 - 29*o**2 + 16*o - 2*o - 4*o as r*o + c + d*o**2 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -44*s + 440. What is j(11)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67483520, -67483522, -67483520, -67483508, -67483480, -67483430, -67483352?\nAnswer: -67483240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/50 - 160\/(-2000))\/((-5)\/90)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 22*i**2 - 49*i - 33. Let l be z(-24). List the prime factors of 2\/(((-15)\/(-415))\/(l\/(-6))).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-130 + 1)\/((-2)\/4). What is the highest common divisor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 876 and 19491.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 5\/64206627 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -152*f**3 + 19*f**2 + 6*f. Let i be k(-12). Is i\/63 - 6\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15858407 - 204.801.\nAnswer: -15858611.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 1)*(d**3 - 4*d**3 + d**3) + d**3 - 2*d**3 + 2*d**3)*(2*d + 2*d - 5*d + (2*d - 2*d + 3*d)*(4 - 9 - 1) + (-2*d + 0*d - d)*(0 + 5 + 4)).\nAnswer: -138*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -115574887.71 plus 108?\nAnswer: -115574779.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 17*n + 1. Let p(a) = 4*a**2 + 51*a + 3. Give -7*d(g) + 2*p(g).\nAnswer: g**2 - 17*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(0 + (-15)\/10). Let s(n) = n**3 - 11*n**2 + 12*n + 5. Let t = 88 + -40. Calculate the remainder when t is divided by s(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*c + l - 4 = 117*c, 5*l = 2*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 4:36 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-18) - (-58)\/(-18)) + (-333666240)\/(-708) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27329726 a multiple of 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 111, 112, 113?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2122 + 4010. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 2, -1\/25, 45\/2?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 35. Suppose 5*b = -3*b - s*b. Solve b = -3*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**1)**(-41))**(-2\/3)*((h*h**(-1\/3))\/h*h*h)**(-13\/8)\/(h*h*h**(-1\/3)\/h*h*h*h)**46 assuming h is positive.\nAnswer: h**(-1371\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 16\/(-14) + (-282)\/(-1050). Let k = d - 21\/25. Factor k*g**2 + 2\/21*g**3 + 0 + 4\/21*g.\nAnswer: 2*g*(g + 1)*(g + 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - g + 14. Let y be k(0). Let x(j) = 3*j - 33. Let u be x(y). What is the units digit of u\/((-1)\/((-104)\/12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 7*j**2 + 4*j - 2. Let i(n) = -n**2 - n. Let q(x) = 5*i(x) + v(x). What is the tens digit of q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10576061 is divided by 571.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 8 = t, t + 11 = 3*x - 0*t. Suppose -26*p - 60 = -6*p. Sort x, p, -8.\nAnswer: -8, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113588043 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 - -28. Solve -y + r*y + 6 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80612 and 12?\nAnswer: 241836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 2911.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, 2, 4\/5, 0.5, -3 in increasing order.\nAnswer: -3, 0.5, 4\/5, 2, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*(-1)\/(-3)*(-2295)\/(-2550).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 4*o + 4*n, 4*n = 2*o - 9680626 + 9680722 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173 = 345*l + 11558 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 96?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 11:07 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 7*g + 4. Let c be n(0). What is the biggest value in -3, 3, -2\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (-50 + 38 + 13).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 10:52 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.4 (b) -1930\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 36*u + 298. Let b be t(13). What is the closest to b in -4, 3, 11, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*sqrt(208) + -3 + sqrt(208) + sqrt(208) + 1 + 4 + 0)**2.\nAnswer: -212 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.9 + -0.1. Which is the second biggest value? (a) -1\/4 (b) g (c) 5 (d) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 + 7. Let v = 69 - u. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Calculate the remainder when u\/(45\/(-6))*-20 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1187615, 2375287, 3562959, 4750631?\nAnswer: 5938303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 768 and 5136?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 - 331*k + 331*k + 0*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.01 + -0.898. Let y = -3 - j. Round y to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81274041 - 120589032. Let k = -103514991 - j. What is k rounded to the nearest 1000000?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-440 - 232 + 26)*(207 + 15*f - 207) as o + c*f and give c.\nAnswer: -9690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -325587 - 0.0592\nAnswer: -325587.0592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13693.27 + -13635. Let l = j + -58. Let d = 12.73 + l. What is the third smallest value in 5, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-1 + -3 + -5)) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.14 + 0.76. Let m = n - -25.1. Let v = m + -26.4. Which is the closest to 0? (a) v (b) -0.2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -754*d + d**3 + 2*d**3 - 113*d**2 + 109*d**2 + 754*d - 288 to a + i*d**3 + h*d + x*d**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 - -84. Let q(s) = s**3 + 5*s**2 + 2*s - 4. Give q(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (78\/(-4))\/((-15)\/150). Let y = s - 101. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 9:41 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2139 = -1281. Suppose 0 = -2*t - b + 809, 4*t - 2*b - x = 954. List the prime factors of t.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + u. Let q(c) = -8*c**2 - 10*c. Let x(s) = -10*l(s) - q(s). Let t(a) = -6*a. Calculate x(t(r)).\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.987 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4\/69, 3 in ascending order.\nAnswer: -3, -4\/69, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -85473 take away 8121592357?\nAnswer: -8121677830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -700 - -1201. Suppose 4*w + y - 341 = 2*w, 3*w - d = 2*y. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2608962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 248*z - 1289 + 297 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623 divided by -3?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -10*d**4 - 3*d**3 - 19. Suppose -4*a = 12 - 40. Let y(r) = 20*r**4 + 7*r**3 + 39. Let g(q) = a*l(q) + 3*y(q). Differentiate g(u) with respect to u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20378\/7 or -2912?\nAnswer: -2912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4*y = -16, -4*y + 1 = -15. Suppose a = -4*q + 46 + 58. Solve 4*t = 3*p + 22, -2*t + q = -3*p + 3*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 798 + -713. Calculate the remainder when 24307 is divided by j.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 509 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10 + (-23)\/(-5). Suppose 2*k - 30 = -m, 3*m - 81 = -t*k + 10. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2\/307 (b) 1 (c) 2\/3 (d) -8\/3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 36 = -0*g + 2*g, -l - 5*g = -9. Is 37 a factor of ((-2)\/(l\/(-39)))\/((-3)\/69)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 4*g + 4*g)*(13*g - 2 + g + 2*g).\nAnswer: -48*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/389360 and 121\/4867000.\nAnswer: 9734000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -284 + 2768. What are the prime factors of h?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -1100000000111000110110000?\nAnswer: 1100000000111000110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-8 + -8)) + -8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.43 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzvztvdpzzzvvpp. What is prob of picking 1 p, 1 z, and 1 t?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*t = 62*t - 2592. Let g = -312 + t. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 545969637 - -24759\nAnswer: 545994396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 11) to base 8.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l = -25*l - 2. Let r be 33\/9 + l\/(-3). Let x be r\/(-12) - (-238)\/3. What is x rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59395*h - 44464?\nAnswer: 59395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -50, 1, 22, -2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 3 (c) 9.32 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.6 - -2.2. Let y be (-45)\/51 + 1 + 0. What is the closest to 0 in 4\/3, y, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 14?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 61. Let f(a) = a**3 - 6*a**2 + a - 4. What is the smallest common multiple of w(-27) and f(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -38*b - 42. Let f(i) = 13*i + 14. Let o(s) = 17*f(s) + 6*x(s). Let h = -18 + 5. Does 11 divide o(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33034*x + 16515*x + 16520*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 1 = 49 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-3) + 6\/(-3). Let d be (-244)\/(-20) - (w + -6). Let t = -74\/5 + d. What is the nearest to 1\/3 in 3\/8, t, 0?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -4. Let d(n) = 9*n**2 + 2*n - 3. Let u be d(a). Suppose 0 = -3*b - b + 8, 3*x - u = -3*b. Solve 3*w + 5*v = 16, -3*v = -4*w - x - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u = -44*u + 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92404 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5*n + 67 = 0, -5*u - 9131*n + 27 = -9134*n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2076, 2072, 2068?\nAnswer: 2064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 528 and 13982232?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/x*x*x**(2\/5))**(-23) assuming x is positive.\nAnswer: x**(644\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 398, 790, 1182, 1574, 1966, 2358?\n\"Answer: 392*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.08 - 40. Which is greater: n or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 17*n - 16*n. Calculate the greatest common divisor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z - 20. Give q(-8).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 8:14 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -14. Let p = 43 - s. What is the third derivative of 4*q**2 - 9*q**3 + 5*q**3 + q**p wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 1. Let a(u) = -u**2 - u - 1. Determine -2*a(s) - 2*l(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 4 - (-13 + (-19 - -27))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*l**3 - 806*l**4 + 808*l**4 - 15*l**2 + 15*l**2 - 25 in the form z*l**3 + h*l + r*l**2 + b*l**4 + c and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -548\nAnswer: 31\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*f - 417 - 427, 3311 = -4*r - 3*f. Suppose 0 = 9*s - 6*s + 1179. Let o = s - r. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -607*o**2 - 422*o - 793. Differentiate d(q) wrt q.\nAnswer: -1214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -602*t + 3027*t - 23320*t to w + g*t and give g.\nAnswer: -20895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 295\/24 <= 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*f = -6, 10*a - 15*a + 4*f = 18 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2212 + 5714 - 2480 + 544*c**3 + 122*c**3 wrt c.\nAnswer: 1998*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(468) + sqrt(468) + -1 - (1 + sqrt(208) + sqrt(325)*1))**2.\nAnswer: -42*sqrt(13) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = p + 2*z, 9*p - 3*z - 8 = 7*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25\/47 + -993\/188. Find the common denominator of (735\/(-80))\/((-18)\/3) and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouakwiowaioiwok. What is prob of sequence uwi?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkyhhkuy. Give prob of picking 1 h and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -25*i - i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13310207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**3*z**(-4\/13)*z**(-1)\/(z*z**(-9)) assuming z is positive.\nAnswer: z**(126\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 + -331 - (-18 - -76)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2. Let l = 43558 + -43559. Which is the closest to l? (a) z (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 6*f - 2*p + 24338, 3*f - 18253 = -2*p. Is f a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1758, 4, -5, 7 in decreasing order.\nAnswer: 1758, 7, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13832*y**2\/5 + 4191094*y\/5 + 606\/5 = 0 for y.\nAnswer: -1\/6916, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/2441 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 61248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 + -55. Let a(b) = b**2 + 8*b + 7. Let f be a(-7). Suppose 2*k = -f*k + p. Calculate the highest common divisor of 55 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1754, -1755, -1756, -1757, -1758, -1759?\nAnswer: -1760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2955250579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107612 or 107639?\nAnswer: 107612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by 3243\nAnswer: -86\/3243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137054763*m - 137054572*m + 274109338*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-10)*a*a**(1\/2))\/((a\/(a\/(a\/a**(-9))))\/a**(-6)) assuming a is positive.\nAnswer: a**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-21) + ((-485)\/4850)\/((-14)\/2524) + -19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131276 (base 9) to base 12.\nAnswer: -3a150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-18)*3348\/248.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (3 + (-6 - -2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c - c + 23 - 12*c**3 - 25 in the form k*c + z*c**3 + p + f*c**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2. Let f(b) = 33*b. What is k(f(g))?\nAnswer: -1089*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2099483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1354 + 626 = 9*w. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -10, 11, 78, 215, 446, 795?\n\"Answer: 4*o**3 - o**2 - 4*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + n + 1. Let r be k(-2). Suppose 4*o = -4*i + 24, 3*i + r*o = -i + 28. What is the smallest common multiple of i and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -305 - -318. What is the highest common divisor of 689 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -179.\nAnswer: -1\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 14\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 1826?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -473610 divided by -5?\nAnswer: 94722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dggggggrgyyrrr. What is prob of picking 3 r and 1 g?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y + 3. Let p = y + 4. Calculate the remainder when 316\/10 - ((-65)\/(-25) + -3) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 25\/5) + 162202. What is s rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 + 5 = 0. Let a(u) = -u**2 - 9*u - 15. Let g be a(-7). Let v(j) = -2*j**3 - j**2 - 4*j - 3. What is the remainder when r is divided by v(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 12\/11, -88, -13, 57?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y - 2*y - 2*y + 0*y - 3.\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - h - 4. Let o be k(3). Suppose l + o*u = 5*l - 14, 3*u - 21 = -l. Suppose -9*i + l*i = -156. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 11*n**2 - 16*n + 30. What is g(-8)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4.23 - -534250.9\nAnswer: 534255.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/8 - 2)*-10?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -53473*m**2. Let q(i) = -8*i**2. What is q(n(l))?\nAnswer: -22874893832*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148 - 147. What is the nearest to -0.2 in 0, r, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 8*h - 5*k = -2, -2*k = 2*h - 2. Let g be (1 + (-2 - -4))\/h. Solve -22 = -g*c - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 1 - 1)*(-98 + 98 + 16*y + 5*y - 5*y + y + 1 - y - 1 + (0 - 1 - 1)*(-5*y + 0*y + 3*y) + 3 - 3 + 2*y - 2*y + 1 - 1 - 3*y - 3*y + 5*y).\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4 - 4\/4)\/(-2) + -2 and 44\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -11. Is 3\/11 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from ahhqggchhahahahha?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 257.034 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -444706 divided by -38?\nAnswer: 222353\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**6\/33 + 6*s**5\/55 - 3*s**4\/22 + 2*s**3\/33 + 1. Factor r(b).\nAnswer: -2*b**2*(b - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4578.475g in kilograms?\nAnswer: 4.578475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a century?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-22)*(100\/(-116) - -1). Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1790, 1784, 1818, 1892, 2006?\nAnswer: 2160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -65. Suppose -3*f + g = -10. Suppose 12 - 2 = 2*a. Solve 4 = 4*h + f*z, a*h + 2*z = -0*z + 17 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(3*u + 0 - 4 - 10).\nAnswer: -9*u + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797483561?\nAnswer: 7, 19, 61, 98297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + -2 + 0\/2. Suppose -2*n + p*n - 5 = 0. Calculate the highest common divisor of 5 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9*w**(9\/7))\/(w*w**20*w*w**(-6\/5)) assuming w is positive.\nAnswer: w**(-368\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3665528 divided by 4?\nAnswer: 916382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 23*v - 2. Let i be o(10). Suppose 3*b - b - i = 0. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 812.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4 + 3) + 73. Is (192\/(-10))\/(((-5)\/v)\/1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76010194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2\/21 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1 - 11*p + p**2 + 17*p + 0. Calculate the remainder when t(-10) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249861135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*n = -24, 3*n + 3 = -2*y + 24. Suppose 4*x + 2*g - 62 = 0, 0 = -4*x + 3*g - 25 + 102. What is the remainder when x is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*j - 174605, 0 = 5*j - 3*n + 2*n + 436495. What is j rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -325*m**3 - 167*m**3 + 539*m**2 + 116340*m - 116340*m wrt m?\nAnswer: -2952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/58)\/((-9)\/(-1188)*((-135)\/10)\/9).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 39*w - 28*w - 88 = 0, y + 4*w - 32 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 - 42 - 4*i**3 + 19 + i**2 in the form k + c*i**3 + g*i**2 + n*i and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275 = 8*p + 307 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 14. Find the second derivative of 7*n**2 + 5*n**3 - d*n**2 + 0*n**2 - 2*n wrt n.\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 3:18 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -50. Let f be (2 + -1)\/((-3)\/2 - v). Solve -2*k + 12 = 2*k, -f*n = 2*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 15*a - 20 = -10*a - 113, 5*a = 4*t - 111 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2297 or 2214?\nAnswer: 2297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-1560)*168\/(-784)?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 6*d + 21*d**3 - 5*d - 6*d**3 - 22. Let f(y) = 2*y. Give a(f(b)).\nAnswer: 180*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -1)\/(8\/40). Suppose -20 = -5*m, 40 = 2*d - 3*m + z*m. What is the lowest common multiple of d and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567295963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -4. Let d be (-9)\/6 - -3 - 2. Which is the nearest to 1? (a) w (b) d (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m + 36 = -2*m. Let o(u) = 17*u + 8. Let z(h) = 34*h + 15. Let w(r) = m*z(r) + 7*o(r). Differentiate w(a) with respect to a.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -36*y. Let n(z) = 2*z - 175 + 175. What is n(d(h))?\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/15))**34\/(m**(-1\/7))**(11\/2) assuming m is positive.\nAnswer: m**(641\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1562 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 3 u when three letters picked without replacement from {d: 16, u: 4}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c - 27*c + 57*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/((-2)\/(90\/(-9)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 14. Let a(g) = -3*g + 3. Let h be a(5). Let n be p(h). Let i = 0.1 - 0. What is the smallest value in n, 0, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:29 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.8, 1, 2\/9, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 10. Solve -3*w + k = 0, -b - 2 = -3*w + 9 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -350 (base 7) to base 3.\nAnswer: -20202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -18*c + 23*c. Suppose 3 = 5*d + 8, 0 = -2*z - c*d + 142. List the prime factors of z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0865015m to kilometers.\nAnswer: 0.0000865015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19\/10 + -7\/5. Let t be 1 + -1 + (18 - 16). Which is bigger: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-385)\/(-44) + (-3)\/(-12). Calculate the remainder when ((-12)\/u)\/(230\/117 + -2) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y - 56*y - 216 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2170 = 6*u. What is the smallest common multiple of (-586)\/(-14) - (-6)\/42 and u\/21 + (-4)\/6?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 3, -5, 0 in increasing order.\nAnswer: -17, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**7\/42 - 2*v**6\/15 - 125*v**3\/6 + 26*v**2 - 2*v. Find the first derivative of q(m) wrt m.\nAnswer: 20*m**3 - 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 5*o. Let q(f) = f**2 + 4*f - 2. Let s(t) = -t - 8. Let m be s(-5). Let u be q(m). Give x(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 - 63128*k - 63132 = 0 for k.\nAnswer: -1, 15783","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19280900 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8801.226707 rounded to the nearest 100?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -280817 * -4\nAnswer: 1123268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1169980 by -222.\nAnswer: 584990\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 212522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o + o + 2*o + 2*o. Let w(t) = -t - 1. Let a(b) = -24*b - 22. Let q(l) = -2*a(l) + 44*w(l). Let g(v) = v. Let d(h) = 5*g(h) - q(h). Give k(d(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-620)\/(-14) - 8\/28. What is the highest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-1))\/2*(12 + -5 + -8). Let r(m) = 14*m**2. Let d(x) = -x**2. Determine a*d(s) - r(s).\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 8:15 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -251 in -4, -16, -0.3, 5.2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 24 = -5*q, 0*c + 2*c - 2*q = -64. Let s = c + 67. What is the common denominator of 3*-1 + 37\/s and -52\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 99?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*j + 45*j = -4*l, -l = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - g = -1 - 1, 8*h - 80*g + 76*g = -20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7667\/(-6150) + 28\/24\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3 - 54636*h**2 - 2710844*h + 149100204 = 0. Calculate h.\nAnswer: -13609, -83, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 5, 54, 4 in decreasing order.\nAnswer: 54, 5, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*z + 13 - 3, -3*z = 2*d + 10. Let q be (d + 55\/15)\/((-4)\/30). Solve -2*f + 10 = -3*o, -2*f + 3*o = 5*o + q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1206*w + 4053*w - 3 + 3 + 3926*w + 613*w.\nAnswer: 7386*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107200 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18556681*x**3 + 9278339*x**3 + 9278339*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 47269856 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 + 123.3. Let f = 0.03 + 0.08. Which is the closest to 0.1? (a) 2\/3 (b) p (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duu when three letters picked without replacement from {n: 1, d: 1, u: 2, j: 1, l: 1, k: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 716 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 6*u = 0, 2*u - 9 = 5*w + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/(2*-21)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 50 = -j. Suppose 0 = j*x - 13 - 7. Solve -f = -3*f + x for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**4*x - 2096475*r**3*x**3 - 19*r**2*x**3 + 41*r**2*x + 9*r**2 + 6*r*x**3 wrt r.\nAnswer: 24*r*x - 12578850*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -32045 (base 7) in base 5?\nAnswer: -223142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 5*c + 1. Let r be l(4). Suppose -5 = -3*u - 11, -r*i + 38 = u. Calculate the lowest common multiple of i and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-2 + 3) + -1. Let x be (j - -9) + (1 - 40). Let z = x - -66. Calculate the remainder when z is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(1 + 0\/(-3)). Suppose 2*i - l = -0. What is the first derivative of -x**2 - i*x**2 - 2 - 1 wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 548103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((9 - 18) + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 62 = -25. Let n = s - 69. Calculate the greatest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 4*i**2 - 1. Let y be x(3). Let r = -7 + y. Solve -3*j - 2 = r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5254020 (base 6) in base 4?\nAnswer: -332202330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -143*(555\/(-45))\/(2\/6) a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 27*o**2 - 26*o + 4. Calculate p(26).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**16*y**10 assuming y is positive.\nAnswer: y**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 402*((-1)\/(-3))\/(4\/(-20000)). What is z rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469206580 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 2\/9, 1\/105, -6\/11 in decreasing order.\nAnswer: 4, 2\/9, 1\/105, -6\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -54 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -5, 11\/17 in descending order.\nAnswer: 11\/17, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*w**4 + 12*w**3 - w**2 + 23*w - 332.\nAnswer: 192*w**2 + 72*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24098?\nAnswer: 2, 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/196 and 115\/224.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -429, 3 in decreasing order.\nAnswer: 3, -5, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 137 - 121*a**2 + 50*a**2 + 7*a - 7*a.\nAnswer: -74*a**2 + 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 11205, 0 in increasing order.\nAnswer: 0, 0.4, 11205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u + 5*u - 1 + 0)*(-2 + 2 + 1) + 7 - 1311*u + 26 - 30.\nAnswer: -1313*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -9142 > -1455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + -2)*-2 - (6 - 2). Let q(a) = 12*a - 6. Let x be q(t). Is 42 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13917683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 7. Let t(l) = -l**2 + f*l - l + 15*l**2 - 4*l**2 + l**3. What is the units digit of t(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 21*u + 1. Determine x(-20).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*((-143)\/26 - -6). Let f(v) be the third derivative of 0*v**3 + 1\/42*v**7 + 7\/12*v**5 + x*v - 16*v**2 - 5\/8*v**4 + 0 - 5\/24*v**6. Factor f(y).\nAnswer: 5*y*(y - 3)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 25*s**2 + s + 2. Let p be n(2). Suppose 0*h + 2*h - 4*r = p, 58 = h - 5*r. Suppose -h = 2*t - 3*t. Calculate the greatest common divisor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113\/10 - -377\/40. Let j = n - -61\/24. What is the nearest to 1 in j, 4\/7, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q - 26. Let j be d(-6). Does 17 divide (j - 65\/20)*376\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 0. Suppose -5*w + 5*x = -w + 315, -f*x - 110 = w. Is -86 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 3 + 3*y - 7*y. Let v be s(-1). Solve 0 = j - v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/376385 + 6491888594\/7151315. Let n = 908 - r. Sort 5, n, 3\/7, 2 in descending order.\nAnswer: 5, 2, 3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 11:31 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/15808 and 101\/4736?\nAnswer: 1169792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 10:27 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 252*o - 252*o + 0*o**2 - 9*o**2 + 8*o**2. Let t(g) = -g. Let w(i) = i. Let h(u) = t(u) - 4*w(u). What is h(z(k))?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - t**2 - t. Let x be o(2). Let u be (16\/60*18)\/((-12)\/(-40)). Suppose -q = -x*q + u. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**2 + 123*o + 73. Determine k(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in centuries?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24854 divided by -289\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48278097.\nAnswer: 3, 7, 691, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**8\/1176 - u**7\/147 + 2*u**5\/21 + 4*u**4\/21 + 116*u**2 - 1. Suppose t(y) = 0. What is y?\nAnswer: -4, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 10:23 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + 5601?\nAnswer: 5592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - n - 18 = 0, -2*i + 3*n = -0*i - 12. Solve x - 5 = i*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1285487?\nAnswer: 7, 409, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - -0.1. Let i = -6.3 + 41.1. Let k = i + -35. Is d not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64922*n = 64982*n + 2340 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29805325*g**3 + g**2 + 44*g - 19427 wrt g.\nAnswer: -178831950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386315142 is divided by 477.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1814, 3, -8\/7, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*v + 318 = 0. Let n(i) be the second derivative of i**3\/2 - i. Calculate the remainder when v is divided by n(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*b + 9. Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 9*o + 2. Suppose -4*h + 0 = v + 36, 0 = o*h + 3*v + 8. Let g = -5 - h. Solve -10 = g*a + 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.133825 milligrams in grams?\nAnswer: 0.005133825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.294 + 0.294465. What is p rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 5 - -4*1. Find the second derivative of -2*f**2 + 0*f**2 - v*f + f - f**2 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fofeoli. What is prob of sequence li?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*s + 2 = 0, -5*s = 5*j - 7 - 43. Solve j*i - 7*i + 2*r - 8 = 0, -3*r + 7 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-15)*(-102)\/85)\/(4\/6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 29*x**2 + 79*x + 72. Give h(-26).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2275.59 and -143650?\nAnswer: 141374.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, 20, 99, 240, 461?\n\"Answer: 3*x**3 + 4*x**2 + 2*x - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 f when three letters picked without replacement from vvvfvvfvvfvfvvvvvv?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 990 and 4543065?\nAnswer: 99947430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1823, -2163, -2705, -3545, -4779, -6503, -8813?\nAnswer: -11805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**5\/20 - x**4\/6 - x**3\/3 + x**2\/2 - 3*x. Let f be w(3). Find the first derivative of -3*o**f + 2*o**4 + 3 - 4 wrt o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2743561?\nAnswer: 2743561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -474, -445, -416, -387, -358, -329?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/3))**(-3\/5) assuming q is positive.\nAnswer: 1\/q","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 24, -0.4, 3, 0.1, 193, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjvjbvjj. What is prob of sequence vv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 96763 - ((87 - 96) + (10 - -2)). Round x to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 18*f + 1. Suppose 5*v - 21 = -3*b + 3*v, 4*b = -4*v + 28. What is the remainder when z(1) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-9))\/(1\/(-18)). Suppose b = 4*s - 20. Let a = s + -4. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*m + 19. Let r be -2*3\/6*-2. Let c = -3 + 2. Put c, r, m in descending order.\nAnswer: m, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 30 = -5*z, -5*h - 4*z = -5*z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -182951583300 to the nearest 1000000.\nAnswer: -182952000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100 - 1000011001?\nAnswer: -111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*((((c**(-2)\/c)\/c)\/c)\/c)\/c*c*c**(-2\/41) assuming c is positive.\nAnswer: c**(-207\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = -20, 5*j = -3*c + 137. Calculate the greatest common factor of c and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 10\/(-4) + (-38)\/(-4). Suppose -8*q - x*q - 18 = 0. Let m(o) = -740*o - 3. Is m(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1253205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/13, 3, 1\/5?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-6 - (1 + (-28 - 45)))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 8*i - 5450 = -4*h, -5*i - 1370 = -h. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {k: 4, b: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.761 and 1.6713.\nAnswer: -2.9431593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 187 = -5*q, -q = -4*n + 429 - 149. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -559, -1070, -1581, -2092, -2603?\nAnswer: -3114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 1, 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14585 + -13449. What is the least common multiple of 32 and t?\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1300.75 + 1476. Let q = -154 + h. Let f = q + -21. Round f to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14211 (base 7) to base 12\nAnswer: -22b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 672 + -672.1. Suppose -q = 2*p + 6, -p + 2 = -0*q + 3*q. Which is the nearest to 1? (a) o (b) 4\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 11*z - 34*z)*(-z - z + z)*(3 - 1 + 0).\nAnswer: 94*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 6*z + 33 = m, 42*m + 4*z + 172 = 46*m for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 - 1. Let s = 4 - i. Let o = 4 - s. Which is the smallest value? (a) o (b) 3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 1\/6*u**3 + 0*u**2 - 2*u - 1. Let z(j) be the first derivative of s(j). Let v(k) = k**2. Give z(v(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 e when three letters picked without replacement from ebqeqembqx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*d**3*p**3 - 2*d**3*p**2 + 9*d**3*p wrt p?\nAnswer: -372*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:23 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2135 + -3?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 14*g**2 - g - 12. Let q be c(-14). Let k be (1\/(-4))\/(3\/(q - 26)). Solve -2*a + 3*w = -4, -2*a - w - 14 = -k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, v: 5, d: 4}. What is prob of sequence dd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 5 + 3)*(-1 + 1 + 8*l) + 1 - l - 1)*(-395 - 148*l + 395).\nAnswer: 2516*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q - 1. Give j(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2280, -4618, -6956, -9294, -11632, -13970?\nAnswer: -16308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0*g**3 + 0*g + 1\/20*g**5 + g**2 + 1\/70*g**7 + 0 + 0*g**4 + 0*g**6. Find the third derivative of p(m) wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30647401\/164 + -186875. Calculate the common denominator of 4\/(-6)*(-10)\/((-200)\/333) and r.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 1. Let a(z) = 4*z + 3. Let l(f) = -a(f) + 2*u(f). Let b(y) = -y + 1. Let i be b(0). Calculate l(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 45, 101, 179, 279, 401?\n\"Answer: 11*d**2 + d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-266)*-14 + -37 + 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -387.3, 2, 3\/11, -24, 1\/2 in decreasing order.\nAnswer: 2, 1\/2, 3\/11, -4, -24, -387.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33272760727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11\/g)**(-2\/15) assuming g is positive.\nAnswer: g**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, j: 2, z: 12}. Give prob of picking 1 r, 1 z, and 2 j.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2279, -3594, -2983, 520, 7881?\nAnswer: 20066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/5148 and 157\/3432?\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 1. Let o(g) = 28*g**2 - 112*g - 112. Let k(m) = -o(m) + 112*p(m). Let y(d) be the third derivative of -d**4\/12 + 51376*d**2. Give k(y(a)).\nAnswer: -112*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 14 = 4*x. Let w = -3 - x. What is the second derivative of -s**3 - s - w*s + s wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672610503.\nAnswer: 1672610503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -49965222810?\nAnswer: 49965222809.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 8 + 7. Suppose x = 4*m + 21, -x - m + 15 = -2*m. Factor 16*d**4 - x*d**3 + 11*d**2 - g*d**2 - 4*d**5 - 7*d**3.\nAnswer: -4*d**2*(d - 2)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 4503051?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 575 divide 42377175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1592.892cm to millimeters.\nAnswer: 15928.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6256.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 2*i + 3. Let v(c) = -2*c**2 + 17*c - 26. Let b be v(6). Suppose -b*h - 18 = x, -h + 0 - 10 = 3*x. Let t(g) = g + 2. Calculate x*y(f) + 3*t(f).\nAnswer: -2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 47 and (-8 + -1)\/(5 - (-344)\/(-68))?\nAnswer: 7191","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -83 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/4 of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o + 10, -2*k - 4*o - 78 = 0. Let n be 8\/(-10) - k\/5. What is the third derivative of 0*g**3 + 65*g**2 - 61*g**2 + 0*g**3 + n*g**5 wrt g?\nAnswer: 540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11661 to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1952, 7822, 17610, 31316, 48940?\n\"Answer: 1959*a**2 - 7*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y. Suppose -6 = 3*p - 18. Let l(n) = 24 - 24 - p*n. Let m = 8 + -13. Calculate m*d(s) - 3*l(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 3:24 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 1390*o - 26 = -1387*o, -5*a + 3*o + 46 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let b be w(6). Let z(n) be the first derivative of n**3\/3 - n**2\/2 - 13*n - 145. List the prime factors of z(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27300 (base 8) in base 15?\nAnswer: 382d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + k + 2, -4*n + k - 2 = -4. Suppose 0 = -2*z - n*z + 200. What is the greatest common divisor of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + k + 687, 0 = -k - 2*k + 9. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 157*n**3 - 9*n**2. Let y be h(1). Calculate the greatest common divisor of 4588 and y.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2\/7 - 130*a\/7 - 4224\/7 = 0 for a.\nAnswer: -66, -64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 852 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.76 + 0.56. Sort 21, h, -0.3, -13 in descending order.\nAnswer: 21, h, -0.3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 15*z + 2. Let a(s) = s**3 + 7*s**2 + 6*s + 4. Let k be a(-6). Let r be t(k). Suppose -3*j = -j - r. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 6*t**7\/35 - 5*t**6\/6 - 4321*t**5\/60 - 1067*t**2 + 3*t. What is the third derivative of d(b) wrt b?\nAnswer: 864*b - 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.5255727 and 6917.\nAnswer: 6921.5255727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 925823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 8, -4*g = -2*g + a + 8. Put 2, 5, -60, -2, g in ascending order.\nAnswer: -60, g, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -14. Suppose j - b = 1. Solve -j*c = -6*c - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 + 11. Let j(c) = c**2 + c + 1. Give 2*j(k) - x(k).\nAnswer: -2*k**2 + 2*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2767361.\nAnswer: 2767361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvyyyyuyuvyuyyyu. Give prob of sequence vy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 3. Let z(t) = -t**2 - 7*t + 55. Suppose 6*w + 35 = -37. Let n be z(w). Give f(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - sqrt(684)*-3)**2 - (0 + sqrt(19))*-2.\nAnswer: 2*sqrt(19) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 379628914 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1\/7 (b) -1\/6 (c) -2\/5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 2*t - t)*(-3 - 23 + 3).\nAnswer: -46*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2898 is divided by 161.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 3:58 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - ((sqrt(26)\/sqrt(2) - sqrt(13)) + -4)**2) + sqrt(13) + (sqrt(13)*1)**2*-4.\nAnswer: -68 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -40*r + 469. What is h(12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 12) to base 5.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faaafaffaafaaffaff. What is prob of sequence af?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 3 - 3*c + 5*c - 2 + 0. Let k be s(-3). Suppose 9*f = k*f. Solve f + 3 = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143\/3 + -48. Let r = -4.241 + 0.241. Which is the nearest to 0? (a) r (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2579056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - -5. Let a = w - 26.999989. What is a rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -15. Suppose -t + 5*t + 48 = 4*o, -3*t - 2*o = 41. Let r = s - t. What is the highest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1713762178 to the nearest integer?\nAnswer: 41398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**6\/20 - f**5\/20 - 3*f**2 - 2*f. Let s(p) be the first derivative of l(p). Find the third derivative of s(x) wrt x.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -347+-0.04\nAnswer: -347.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -608*w**5 - 664*w?\nAnswer: -12160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 128488, 1027926, 3469246, 8223388, 16061292, 27753898, 44072146, 65786976?\n\"Answer: 128490*y**3 + y**2 + 5*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19159056 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 0*s**2 + s + 0*s**2)*(-3062 - 2415 + 4839 - 1565).\nAnswer: -4406*s**2 - 2203*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 - 2*i**4 + 3*i**4 + i**2 + 24 + 7*i to z*i + p*i**4 + s + x*i**3 + k*i**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155082380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -2.5462?\nAnswer: -19.5462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 53 = -67, k = 20*n - 575 - 22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9*r**2. Let w(k) = -2*k**2 + 2765*k + 42. Calculate w(b(f)).\nAnswer: -162*f**4 - 24885*f**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 5:27 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 12:17 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/((b*b**(2\/5))\/b)*b))\/b**(-2\/5))\/(b**6*b\/(b*b*b\/((b*b\/b**5)\/b))*b))**(-1\/10) assuming b is positive.\nAnswer: b**(3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -27.884. Let z = -4.884 - r. What is the third smallest value in -9, z, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-56)\/10 - (-2)\/(-5). Let h(a) = 39*a - 26. Let o(s) = 38*s - 21. Let r(x) = 3*h(x) - 4*o(x). Is r(g) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 51 = s, 2*s - 24 = -3*r - 2*s. Let p = 20 + -12. What is the highest common divisor of p and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-4 - -2) - (-3 + -3 + 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/66)\/(-2)*68376\/(-37037)*(-26)\/8.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9 - (-1712)\/963.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99\/((-90585)\/(-7625))*(-2)\/20.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 436 - 429. Calculate the remainder when 43 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12112100020112 (base 3) to base 6.\nAnswer: -143000452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w - 44. Let p(f) = f - 15. Let m(k) = -6*g(k) + 17*p(k). Let x be m(12). What is the tens digit of (-6)\/(x*(-2)\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 0, 46*h = 50*h + n - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 83*i - 9. Let s = -15 + 33. Let f = 11 - s. Let j be v(f). Round j to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31315 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u**2. Let c = -157 - -258. Let p(q) = -109 + 210 - 4*q**2 - c. Calculate p(r(s)).\nAnswer: -196*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -3. Suppose -4 + v = 4*l. Suppose 10*q - 5 = 5*q - 2*i, -l*q + 4*i + 3 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 2:19 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106678, -213349, -320016, -426679?\nAnswer: -533338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -0.1 (c) -5 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 673391779 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 1\/7, 4, 31, 1\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfff when four letters picked without replacement from fffwfwfffffffwffffff.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 51, 41, 25, 3, -25?\n\"Answer: -3*p**2 - p + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3604 - 3609 - 17*i**2 - 16*i**2 + 7215.\nAnswer: -33*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -49 (b) 5 (c) -2 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 12*n - 111. Let b be c(6). Sort b, -2, -1, 1 in descending order.\nAnswer: 1, -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67591857725 - -4\nAnswer: -67591857721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -176, -9.56, 2, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 172 + -166. Calculate the highest common divisor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -135656 divided by -31?\nAnswer: 4376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14457501*s**2 - 2*s**3 - 28917595*s**2 + s**3 + 14460094*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 100 and 101 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s = -1087 - 2801. What is the greatest common factor of 72 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**6\/180 - o**5\/60 + o**4\/6 - 2*o**3\/3 + 2. Let a(r) be the third derivative of m(r). Factor a(d).\nAnswer: -2*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4591, 9968, 15345, 20722?\n\"Answer: 5377*d - 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289693733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7752 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 424 - 428. Let i be ((-14)\/(-10) - 1)*-25. Let n = -16 + 11. What is the second smallest value in i, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 0 - (-16)\/2. Suppose -5*d + z = -8. Solve -5*c - 3*y + 5 = 0, -5*c + d*y = 22 + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40228.1301 + 5?\nAnswer: -40223.1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g - 3*g + 3*g)*(-14*g + 437 + 439 + 423 - 1261) as x*g + j*g**2 + u and give x.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/(-12) - (-24864)\/63. Calculate the greatest common divisor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 24 - 4 = 0. Suppose -10 = 15*n - z*n. Factor -147*b**n + 142*b**2 - 5*b + 5*b**3 - 2 + 7.\nAnswer: 5*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - 1*(-151 + 2)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**3 - 13*v**2 + v - 33. Let d(m) = 2*m**3 + 13*m**2 + 32. Let i(s) = 5*d(s) + 4*o(s). Let f be i(7). Solve 5*z + f = 22 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 168 - 166. Sort y, 28, 3, -2 in decreasing order.\nAnswer: 28, 3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 394314212?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2635)\/(-1325) - 2)\/((-2889)\/(-9630)).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5 + 19. Suppose -t = -r*t - 630. What is the lowest common multiple of 22 and -1*1*t\/9?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*c + 32*c + 39*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 127784.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*g + 4*t, -4*g - 3 = -3*t. Suppose -o + 4*d - 149812 = g, 748991 = 2*o - 7*o - 3*d. What is o rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130\/18 - 20\/90.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1026741 to the nearest integer?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 14*b + 52304. Let t = -2291 - b. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4053*y - 2375*y + 3430*y + 240*y to n*y + l and give n.\nAnswer: 5348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3128985 divided by 100935?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 3*p**2 + 4*p - 1. Let i(x) = -x**2 + 5. Let h be i(3). Let b be j(h). Let d = b - -5. Calculate the lowest common multiple of 3 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + x + x)*(-192 + 55 + 101) to m + r*x and give r.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 10:15 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/655 and 109\/10.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -945 divided by 135.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1 + (10 - 1). Suppose 2*n - 8*q = -3*q + 15, -q - 21 = -4*n. Solve -w + n*m = 3*m + u, -18 = 4*w - m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 3*g**2 - 4*g**2)*(3*g**2 - 5*g**2 + 0*g**2) + (2*g**2 + 3 - 3)*(-2*g**2 + g**2 - g**2).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 15*u - 200. Let j = 16 + -6. Calculate the highest common factor of u and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5113 to the nearest 100.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -225*z + 120*z + 2205 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -6*y + 10. Let r be x(0). What is the nearest to 1 in 4, -2\/7, r?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**7\/70 + h**5\/60 - h**2\/2 + 3*h. Let y(i) be the first derivative of n(i). Find the third derivative of y(m) wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -5. Suppose b = x - 0 + 5. Which is smaller: x or -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/65888 and 49\/12?\nAnswer: 197664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 37 = -12. Let k = 14 - 0. Calculate the remainder when s is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -565 - -593. Put -33, m, -5 in increasing order.\nAnswer: -33, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*a**2 + 4*a**2 + a**2)*(4 + 236*a**2 - 234*a**2 + a - 5) to t*a**2 + s*a**4 + l*a + m + y*a**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*1 + 10 + -13. Let c = -7 - g. Let d(z) be the third derivative of -z**5\/20 + z**4\/12 - z**3\/6 - 2*z**2 + 13. Calculate d(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 90630.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1045\/76 - 11 - 3\/4. Solve v = 3*s + 14, 0 = a*v + 2*s - 2 - 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.8031 + -5.8. Round q to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1999207 is divided by 383.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 4*p**2 + 4*p - 24. Let m be l(-6). Calculate the highest common divisor of 30 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 352474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-304)\/(-1216))\/((-1*2)\/(-56))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 820*k**4 - 48*k**3 + 84*k**2 + 12*k - 8. Let d(a) = a**4 + 4*a**3 - 2*a**2 - a. Let t(q) = 12*d(q) + g(q). Find the third derivative of t(m) wrt m.\nAnswer: 19968*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8540281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktdk when four letters picked without replacement from kttkkktdctttkt.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55 - 74 + 35 + 0*d**2 - 5*d**2 wrt d?\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22557 by -22557.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*j + 20 = 0, -8 = -n + 2*j - 1. Suppose -4*l + 3*b = 5, -2*l - n*l = 4*b + 45. Let h(c) = c**2 + 6*c - 6. Determine h(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, 6.5, 26562?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/3 - 8*h**2\/3 - 31*h\/3 - 22\/3 = 0 for h.\nAnswer: -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**2 + 5*l + l**2 - l**2. Let u(v) be the second derivative of -3*v**4\/4 - 3*v**3\/2 - 4*v. Calculate -7*d(j) - 4*u(j).\nAnswer: j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**8\/48 - v**5\/20 - v**2. What is the third derivative of u(t) wrt t?\nAnswer: -420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16611431 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/20)\/((-2)\/4). Solve w*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*(-5*sqrt(33)\/sqrt(3) - (-4 + (sqrt(33)\/sqrt(3))**2) - sqrt(132)\/(sqrt(60)\/(2*sqrt(5)))).\nAnswer: 28 + 28*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 57790*u**2 + 417431616*u + 417489408.\nAnswer: 2*(u - 14448)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (14\/126)\/(-1*(-15)\/(-10))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6991279 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(-1 + (-3)\/(-2)). Suppose l + f*l = 18. Suppose -l*u = -5*u. Solve t = -u + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7763189*b - 6187105 wrt b.\nAnswer: 7763189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 412782.4ug?\nAnswer: 412.7824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 12:20 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000064114 to 7 decimal places.\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, 23, 45?\n\"Answer: 22*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 7*r + 4*r + 33, -2*r + 12 = -l. Let k be ((-2)\/6)\/((-13)\/l). Let t = 0 + -0.5. What is the second smallest value in k, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -1. Let z be (2 - 22\/8)\/((-6)\/(-216)). Sort 0, z, d.\nAnswer: z, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*b = -1, -2*y - 4*b + 8 - 2 = 0. Calculate the common denominator of ((-1590)\/(-20))\/((-12)\/y) and 61\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -644, -2521, -5622, -9947?\nAnswer: -15496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) 2\/15 (c) -0.07 (d) -4\/3 (e) -0.1 (f) 128\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(-5)\/(-15) - 26. Is 20*(2 + (-414)\/i) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -184 + 314. What are the prime factors of v?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.195 + 0.145. What is the biggest value in -5, -3\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**6\/300 + 17*g**5\/30 - 173*g**4\/60 + 29*g**3\/5 - 2*g**2 - 479*g. Find i, given that n(i) = 0.\nAnswer: -87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7 = -5, m + 3*n = 13. Which is the nearest to 13? (a) 0.19 (b) -0.2 (c) m (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 17. Let r = -7936 - -7938. What is the lowest common multiple of q and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1962685.\nAnswer: 5, 173, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 9) in base 4?\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 10 = 0, 34*k + 103 = 5*b + 35*k. What is the greatest common factor of 231 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 571842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*m - 1 = 0, 5*m - 3*m + 33 = 5*z. Let i(c) = -10 + 9 + 3 - c. Give i(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3342767228 - -60.\nAnswer: 3342767288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1448027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -16. Let u = k + -17. Let r(q) = -310*q**2 - 3*q - 1. Let y be r(u). Round y to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 12:19 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(1 + 27*u - 23*u - 3).\nAnswer: -4*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u + 21*u - 3*b + 35 = -12*u, 3*u - u = 5*b - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 2\/7, 0, 2, 92, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*y + 304, -5*o + 2*y = 5*y + 505. Let z be (o\/3)\/(4\/(-138)). Let h = z + 14. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7884 - 0.9884. Which is the third biggest value? (a) 264 (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*o**2*v**3 - 25*o**2 - 1053*o*v**2 + 866*o - 1 wrt v?\nAnswer: 9*o**2*v**2 - 2106*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*n**3 - 6 - 2 + 5.\nAnswer: -38*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3907 - -3925. Calculate the remainder when 2172 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 9:47 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-1)\/3*-33?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 887597 and 25187?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 5*t**2 - 66*t + 59. Calculate the remainder when 264 is divided by n(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 32881921742 + 32881921742.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 2*f - 2*t + 34 = 10, f = -5*t + 78 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 34*f + 194. Calculate y(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4653 divided by -1551?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12276 is divided by 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7451 - 7450.99996937. Round m to 7 decimal places.\nAnswer: 0.0000306","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1283121 is divided by 456?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51519*u**5 - 79239*u**2 wrt u?\nAnswer: -3091140*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from iqqiq?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59 - 29*i - 59)*(0*i + i + 0*i) - 2*i + 2*i - i**2 + (2*i - 2*i - 2*i**2)*(-1 + 2 + 0) to the form b*i**2 + k*i + w and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 19. Suppose 0*v + i*v + 4*o = 124, 5*v - 146 = 4*o. What is the greatest common divisor of 12 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4 and -41\/23625575.\nAnswer: 94502300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l*l*l**(4\/5)*l*l*l)\/l*l))\/l*l)\/l**(-2))\/((((l\/(l**(-2\/5)*l)*l*l)\/l*l)\/l)\/l*l)**(-10\/9) assuming l is positive.\nAnswer: l**(-56\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) + 3*sqrt(216))\/sqrt(8).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 20*t + 30. Let v be i(-21). Let f = 7 + v. Solve 40*d - 36*d - f = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1273?\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 9:53 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.1 (b) 1 (c) -1.4 (d) -345 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122203 is divided by 24422?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 15993228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8493)\/(-27702))\/(13\/3) + (-60)\/780.\nAnswer: -1\/162","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159\/20 - (13 - (554\/40 - (-924)\/(-1155))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 632 - 611. What is the greatest common factor of 217 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*f + 14. Let l = f - 10. Solve 4*z - 4*u - l = -3*u, -4*z + 3*u + 14 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, 2, 2\/15, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 6) in base 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v. Suppose -2*w = -7*w + 20. Suppose 0 = w*o - v*o. Solve 4*h + 6 - 18 = o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-7)*-1)\/((-70)\/245).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 + 2*d**2 - 6*d + 16. Give f(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.01 (b) 1\/6 (c) 2\/3 (d) -1\/2 (e) -101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 9. Let u be k(-9). Let p be 2 + 0\/(-3 - u). Let j be 4\/22 - 0\/(-1). Which is the biggest value? (a) p (b) j (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/2 and ((-873)\/(-30))\/(24\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2728 and 12336.\nAnswer: 4206576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2277*d**3 - 54*d**5 - 450*d**4 + 168*d**5 - 59*d**5 + 7848*d**3 - 50*d**5 = 0.\nAnswer: 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-8\/3)\/((x*x**(-13))\/x))\/(x\/x**(-2\/13)*x*x)**(8\/13))**(-7\/2) assuming x is positive.\nAnswer: x**(-29785\/1014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*x = -1296788 + 338230, 0 = -3*x + 12. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(60)\/(sqrt(16) - sqrt(4)))\/(-2*sqrt(125))*5)**2.\nAnswer: -2*sqrt(3) + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.07 + 2. Let k = 0.07 + x. Is k smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*p**2 + 7 + 6 + 4 - 13 wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220402 and 48853?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -43.08. Let y = 1.73 + 3.35. Let t = f - y. Which is the closest to -0.1? (a) -0.4 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, -1, 4.\nAnswer: -12, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3 + 142. Suppose -h + 20 = -w. Suppose 3*q + 3*z = -w + 105, -2*z - 6 = 0. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 6*z**2 + 4*z)*(z**2 + z - z) + 3*z**4 - z**2 + z**2 + (4*z - 3*z + z)*(-5*z + z**3 + 5*z) - z**4 - 2*z**2 + 2*z**2.\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/9*4\/(-6)*24\/12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 266\/(-16) + (-2112)\/5632\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -186021 (base 10) to base 12\nAnswer: -8b799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, p: 1, c: 1}. What is prob of sequence ckpk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-34\/3))**21*m**15*m**(-23))**(-37) assuming m is positive.\nAnswer: m**9102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-1))\/(408\/102)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -l + 255. Calculate the remainder when l is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = -f. Let j(l) = -637*l + 91729. Let v be j(144). Suppose -21 = -5*c - 2*n, 2*c + 3*n - 16 = 6*n. Put v, c, f, -3 in ascending order.\nAnswer: -3, f, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406106 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.015, 2\/9, -4\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -9, 14, -3 in decreasing order.\nAnswer: 14, 2, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 32.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.043 * 5.\nAnswer: -10.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1484 and 1106.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18732*a**3*k + 9*a**2 - 14*a*k + 9*k wrt a.\nAnswer: -112392*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 5*m**3\/6 - 3*m. Let z(p) be the third derivative of 0*p**3 - 3*p**2 + 0 + 0*p - 1\/24*p**4. What is z(l(j))?\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 125*h = -121*h + 30, -3*g = -h - 30. Let d(x) = -4*x + 2*x**2 - x**3 - 11 + 2*x + 8*x**2. Give d(g).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(-12)\/(4 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 15*z + 2 + 6*z to b*z + j and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1708181 + 4?\nAnswer: 1708185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 32*w - 28 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -2034?\nAnswer: -2034.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 7\/(-3))*-1. Let p = 613 - 38005\/62. Let j = p - 47\/31. Which is the third smallest value? (a) j (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + w - 515, -w = -4*n - 4*w + 2062. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-7*h + 0*h - 6*h) + (h - 4*h + h + (0 + 0 - 2)*(-5*h + 2*h + 5*h) + 164 - 44*h - 164)*(-1 - 2 + 2).\nAnswer: 37*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - 42\/(-11) - 1178\/(-8778). Which is the biggest value? (a) 20 (b) j (c) 1\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0.069, -2340 in increasing order.\nAnswer: -2340, 0.069, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10745.0658 plus 0.029?\nAnswer: 10745.0948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5550 - -5550. Let i = 0.88 + -0.18. What is the closest to 2 in -1\/3, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 7, -80, -257, -554, -1001?\nAnswer: -1628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -320094, -320091, -320088, -320085?\n\"Answer: 3*r - 320097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) 2.2 (c) 40.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 7. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 2 (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**2\/2 - 2*v - 1. Calculate k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from {u: 1, b: 1, s: 1, l: 2, e: 2, a: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, 2, 12, 28, 50, 78?\n\"Answer: 3*q**2 - 5*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = -3*n. Let j be (3 + -3)\/4 - n. Suppose 34 = 2*r + o, 0*r + 3*o + 60 = j*r. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 159395346?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s + 22. Let v be (-27)\/(-18)*(-12)\/9. Sort -5, v, s, 2 in decreasing order.\nAnswer: s, 2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-30)\/(-25))*-6. Solve 0 = r + 4*r - s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/3)\/((-6)\/108). Let j(n) = -n**2. Let c(x) = -x**3 + 6*x**2 - 22*x + 15. Let i(r) = w*j(r) - c(r). What is the units digit of i(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -19*c**6 + 9*c**5\/5 + 28*c**2 - 5*c + 198. What is the second derivative of o(l) wrt l?\nAnswer: -2280*l**3 + 108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280 and 301480.\nAnswer: 2110360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 10*r**2 - 15*r + 462. Calculate i(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -19. Let f be m\/10*5\/2. Which is the third smallest value? (a) f (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*c = -3*c + 10, d - 2 = c. Let h be (-1 - d\/(-2)) + 0. Factor 4\/5*w**2 - 2\/5*w + h - 2\/5*w**3.\nAnswer: -2*w*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13539121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppcpcpcccc. What is prob of picking 2 p?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40715, -81423, -122129, -162833, -203535?\nAnswer: -244235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.02 (b) 19 (c) -2\/3 (d) 3\/8 (e) -2\/37 (f) -7 (g) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 18*k**3 - 3*k - 2. Let p be j(3). Suppose 3*f - 117 = c, -3*c - p = c - 5*f. Let o be (1\/(-3))\/(1 - c\/(-117)). Which is bigger: o or 2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 4\/9, 7333, 1\/5 in increasing order.\nAnswer: 0.06, 1\/5, 4\/9, 7333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*x + 20, -5*d + 4*x + 25 = -x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32999, -32126, -31251, -30374, -29495, -28614, -27731?\n\"Answer: q**2 + 870*q - 33870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -164351333*h**4 - 55752*h**2 - 158*h - 2?\nAnswer: -3944431992*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.4 (b) 4 (c) 0.5 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -2*t - 4*f - 13, -f = 2*t - 12. What is the second derivative of 4*g - 2*g**5 - g + 6*g - t*g wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-16))\/(r*r\/(r*r**(7\/3))) assuming r is positive.\nAnswer: r**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-72)\/20 - -4 - ((-983499)\/(-15))\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*v + 23, -4*h - h = -v - 13. Let f = 332 + -329. Let y be (f - 77\/21)\/((-8)\/(-12)). Put y, v, 1 in descending order.\nAnswer: 1, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42534 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 (base 11) in base 6?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -42 (b) 0.3 (c) -2\/21 (d) 5 (e) -792 (f) -5 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 11, p: 5, n: 1, o: 1, m: 1}. What is prob of sequence pf?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2.5. Let m = 0 + w. Put 3\/5, 0.3, m in decreasing order.\nAnswer: 3\/5, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 0 + 20*x**4 + 128*x**3 - 2\/7*x**5 + 1216\/7*x**2 + 0*x = 0.\nAnswer: -4, -2, 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, 3, 4.1, -1.4.\nAnswer: -5, -1.4, -0.1, 3, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*t + 14 = 0, 2*t + 14 = -3*i + 3*t. Let a be (3*2)\/((-6)\/i). Let m(b) = -a*b + 0*b + 6*b - 4*b. Let q(o) = -2*o. What is m(q(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 3*w - 2. Let x be s(4). Let j(r) = 6*r**2 + 60*r - 58. Let b be j(-11). Suppose -x*q = -b, -h + 12 = q - 14. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10346 = -6*u - 8*u. Let f = u + 166. Round f to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 - 622*a**2 + 653*a**2 + 1.\nAnswer: 31*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k**2 + 2*k - 12. Let b(l) = 13*l**2 - 3*l + 11. Calculate -3*b(d) - 4*m(d).\nAnswer: 5*d**2 + d + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103.1 - -50.1. Let k = -56.69 + 0.69. Let t = o - k. What is the closest to 0 in -4, 2\/7, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5409*a - 146032. Give c(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9*108\/(-8)*(-36)\/(-216).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 8*v**2 - v + 6. Let o be a(8). Let p be 0 + o*1\/(-12). Put -1\/4, p, 0.4, 0.1 in decreasing order.\nAnswer: 0.4, p, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*z + 126 = -0*y, -4*z + 252 = -2*y. Let p be 16\/6*y\/56. What is the common denominator of 9\/p - (-89)\/8 and -89\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25420 is divided by 310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-308)\/(-49) + -3 + -13)\/(12\/(-14)). Let f(j) be the first derivative of 0*j + w*j**3 + 45 + 17\/2*j**2. What is the second derivative of f(y) wrt y?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o = 17 + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -77.86914 less than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/8*-4*352\/(-24).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 681, 1286, 1889, 2490, 3089, 3686?\nAnswer: 4281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.73 - -7.8. Let r = -0.07 + s. Which is the closest to 1? (a) 4 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2253579506?\nAnswer: 2, 1126789753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281321 is divided by 1995?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k**3 - 3*k**2 - k. Give j(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 128 = -4*f - 3*y, 0 = 5*f - y - 139. Suppose -6918000 = -34*d + f*d. What is d rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1119*a**2 - 13 + 23 - 10 - 50*a**2.\nAnswer: 1069*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -39*l**2 - 54*l - 57. Let p(u) = 6*u**2 + 1. Let v(d) = d**2 + 2*d - 2. Let m be v(-3). Let s(i) = m*q(i) + 6*p(i). Determine c so that s(c) = 0.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 + 108. Suppose s*l + 3*t + 6 = -t, 3*t + 3 = -2*l. Solve -p + 2 = -l*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**4\/9 - 203*u**3\/3 + 8239*u**2\/9 - 3215*u + 1925 = 0.\nAnswer: -165, 3\/4, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4782771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 477.794 - 0.0006.\nAnswer: 477.7934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30084 and 1288816?\nAnswer: 88928304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 14, x: 4}.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*m + 0 - 1 + 1 in the form b*m + x and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.31 - 0.21. Let t = -2.27 - 180.73. Let z = 182.8 + t. What is the closest to z in -0.3, j, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.2731 - -8.154073. What is u rounded to three dps?\nAnswer: -0.119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 257 - 24 = -2*i, -187 = -2*v - 5*i. Suppose -4*t = -5*t + v. Let s = 198 - t. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 108 = 2*j, 2*i + 2*j - 54 = 4*j. Calculate the lowest common multiple of i and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) + -6*(1 + sqrt(605)) + sqrt(605).\nAnswer: -44*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1029) - 2*(sqrt(1029) + sqrt(1029)*2 + sqrt(1029)) - sqrt(1029))\/(sqrt(567)*2*-5)*-3)**2.\nAnswer: 409\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -45801 and -0.112.\nAnswer: -45801.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13617 + 13617 + 6443*u**2.\nAnswer: 6443*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/16 + 1359\/(-492) + 2. Is 1 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037 is divided by 527?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 273\/8116 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**6\/120 + n**5\/30 - 41*n**2\/2 + 29*n. Let f(c) be the first derivative of p(c). Suppose f(h) = 0. Calculate h.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 17 = -x. Suppose x*m = -p + 972, 10*m = 6*m + p + 980. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 + 0*b**3 + 3*b + b**3 + 6*b**2 in the form j*b + d*b**2 + k*b**3 + s and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12393 is divided by 1769?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8526 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -1262, -2831, -5028, -7853, -11306?\nAnswer: -15387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -42. Let r = 108 + b. Is (-3 + 6 + r)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 767860 and 1220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -10 - 2) + 6 + 1 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 10) in base 8?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, t: 6, q: 12}. What is prob of sequence tqqt?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31120111 + -112?\nAnswer: -31120223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 + 62. Let o = q - -71. Calculate the greatest common factor of o and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*c - 2*i + 14, -5*i - 27 = c. What is the common denominator of (-3)\/c*639\/(-99) and -19\/32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.86 - -0.14. Let d be ((-16)\/(-6))\/((-8)\/12). Sort d, -6, u in decreasing order.\nAnswer: u, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 7) in base 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ca5 + -b?\nAnswer: -cb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 2*z - 14 = 0, 4*v - 19 = -6202*z + 6205*z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - i**2 + 3*i - 5. Let v be j(-3). Solve -3*c + 3 = -v*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 22526466?\nAnswer: 22526466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 379*l**2 + 788*l**2 + 5 - 5 - 103*l**2 in the form b + h*l + q*l**2 and give q.\nAnswer: 1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muacau. What is prob of sequence macu?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 + -101. Solve -o = 4*x - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.1, 0.3, 3, 8, 39 in descending order.\nAnswer: 39, 8, 3, 0.3, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 6*y - 9. Let h be r(-4). Let m = h - -23. Solve n + 3*n - 5*g = -1, 3*n + 3*g = m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21*(-275)\/(-1155)*1\/((-4)\/(-5)).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.061 and 165.\nAnswer: 10.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 10. Let s = -21 - 7. Let w be 1\/(2*2\/s). Let o be y(w). Solve 2*m - o*m + 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 427 + -425. Solve -l*p = 116 - 120 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/297 and -58\/3159.\nAnswer: 34749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2*f + 7 + 11 = 0, -5*j = 3*f + 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3435935\/498204 + -4680\/659. Calculate the common denominator of l and -143\/6.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 3:57 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 5) + -4 - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3439 is divided by 77?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45626249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 47\/(1*(-2)\/16). Let x = z - -700. Is 33 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*u - 8. What is the greatest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 10 + 12. Let i = f + 26. Sort -4, 5, i in decreasing order.\nAnswer: 5, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2334 = 2*p, 4*p - 1100 = 2*i + 64. What is the second smallest value in -1\/5, 4, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 164702*z = -164701*z - 53, z - 2 = p - 3*z for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 8*j**2 - 7*j + 3. Let t be d(5). Suppose -2*i = -i - t. List the prime factors of i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**3 + x**2 + 8*x + 16. Let o be 6*9\/18*4\/(-3). Let a be m(o). Is a bigger than -256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1999 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*a**2 - 10*a**3 + 59*a**2)*(-17*a - a - 5*a).\nAnswer: 230*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1082730350*s - 45 + 11 + 17 + 17 + 1082730351*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29457, 29440, 29419, 29394, 29365?\n\"Answer: -2*z**2 - 11*z + 29470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 46573*m + 372595. What is p(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 748965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l = -14 - 38 for l.\nAnswer: 4","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 vvvsvvvvvvvsvvvvvvvv.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 357766 (base 9) to base 13.\nAnswer: 7722c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 242736543 a multiple of 809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-226055)\/200)\/29 + 9\/(-360)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/3056 and -5\/1528?\nAnswer: 3056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 7801862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10483445*b**4 - 7572302*b wrt b?\nAnswer: 125801340*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208 + 432. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -12, -33, -74, -141, -240?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30899 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 + -1.9. Suppose -q = -5*k + 15, 0 = -0*q + 3*q + 15. Which is the third smallest value? (a) k (b) r (c) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29365*y**2 - 29363*y**2 - 4*y**3 + 3*y**3 + 58728*y**2 + 0*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38206 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 40193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-5\/3)\/j))\/j*j**(12\/7) assuming j is positive.\nAnswer: j**(92\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 625 divided by -125.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3 - 33*t**2 - 3 - 18*t**2 + 1729*t**3 + 5*t - 1733*t**3. Let d(g) = 5*g**3 + 51*g**2 - 6*g. Give -6*c(q) - 5*d(q).\nAnswer: -q**3 + 51*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -29 + 29 - 2*d**2. Let m(q) be the first derivative of 35*q**2\/2 + 25*q - 13. Let a(g) = 3*g + 2. Let j(p) = 50*a(p) - 4*m(p). Determine j(l(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38060, -38073, -38108, -38177, -38292, -38465?\nAnswer: -38708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112120102 - 1220122102?\nAnswer: -1101002000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 - -2.7. Let s = j + 0.3. Let u(d) = d**2 - d - 1. Let v be u(2). What is the third biggest value in s, v, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f**3 + 7*f**2 - 7*f + 7. Let a(l) = 4*l**3 - 3*l**2 + 3*l - 3. Let g(p) = p**2 + 9*p + 11. Let u be g(-7). Give u*h(o) - 7*a(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5462, -11077, -16774, -22553, -28414, -34357, -40382?\nAnswer: -46489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 11*f - 5. Let h be j(-7). Suppose -5*u - 5*k + h = -3*k, -2*u = 2*k - 8. Solve -3*n + 8 = u*s, 5*n - 3 + 2 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52.7 - -53. Let y = -977 - -1097. What is the fourth biggest value in h, 2, y, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4239236.\nAnswer: 2, 41, 25849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 29, 0.2, -11, -3\/5, 3\/4 in decreasing order.\nAnswer: 29, 3\/4, 0.2, -3\/5, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-1088)*7\/(-35)*10\/4?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -9, -3, -1\/7 in ascending order.\nAnswer: -9, -3, -0.3, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 965.742 hours?\nAnswer: 3476671200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 4:46 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 5*x**3\/6 - 3*x**2\/2 + x. Let q(b) be the second derivative of 6*b**3 - 11*b**2 + 10*b - 18. Calculate -6*q(i) + 44*s(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -87 - -81. Let m be f\/(-6)*(1 + -1 + 0). Suppose 3*u + 2 - 10 = k, 2*u + k - 7 = m. Solve -h + 5*n + u = 3*n, 0 = 4*h - 4*n - 16 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-1104)\/5)\/(-48)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5240051 to the power of 1\/2, to the nearest integer?\nAnswer: 2289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6798679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1219743)\/(-81) - (-72)\/162?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 246158816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/40 - ((-148)\/(-96) + -2). Let l = 7\/6 - q. Which is the nearest to 2\/7? (a) l (b) 4 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 7*o + 5. Let z be p(6). Let f(h) = -h + 12. What is the smallest common multiple of 11 and f(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/950 and 181\/1140.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2190 and -11\/3504?\nAnswer: 17520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*x + 1852 = -4264 - 17170 - 794 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 12*l**2 - 9*l + 11. Let u(v) = v**3 - v**2 - v - 1. Let s(q) = j(q) - 2*u(q). Determine s(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -899, -903, -907?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 975 - 848. Calculate the remainder when z is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -3*x + 4*s, 0 = -x - s + 12 + 18. Let a be x\/2*(-2)\/(-1). Suppose 3*d = -a + 184. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2.9. Let l = -396.7 + 396.7. Which is the closest to y? (a) 1 (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 5*b**3\/3 - b. Let j be p(4). Let g = 126 - 116. What is the greatest common divisor of j and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 68 or 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 556.\nAnswer: -1\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-6))\/((x*x**(-1\/14))\/x))\/((x*x**(-4\/7))\/(x**(-5\/6)*x)))**(-40) assuming x is positive.\nAnswer: x**(-5720\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -213011 (base 4) to base 5\nAnswer: -40001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 119616491 to the power of 1\/2, to the nearest integer?\nAnswer: 10937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105328?\nAnswer: 2, 29, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44759164 divided by 124?\nAnswer: 360961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 92, 93, 116, 173, 276?\n\"Answer: 2*a**3 - a**2 - 10*a + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**3 + 1280*k**2 - 5172*k + 3888 = 0. What is k?\nAnswer: -324, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3 - 498*f**2 - 9753*f - 36190 = 0. What is f?\nAnswer: -14, -5, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*u = o + 6, -o = u - 5. Let p(m) be the first derivative of 3*m**4 - 7 + m**5 + 2 + o - m**3 + m**2 + 4*m**3. Factor p(z).\nAnswer: z*(z + 1)**2*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280191 and 1180.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 8*n**2 - 25*n - 13. Let m(y) = y**2 - 4*y + 1. Calculate the remainder when x(-10) is divided by m(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -8.25, 12, 1, 1.173?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**2 + 0*d**2 - d**2 + (2*d + 1 - 1)*(2*d - 2 + 2) + 731*d**2 + 2293*d**2 + 3423*d**2.\nAnswer: 6449*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36594 - 36594 - 1910*j**2.\nAnswer: -1910*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/7*12236\/(-460) + (-1)\/5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 6*d**2 - 9*d - 7. Let m be j(7). Let g = m - -29. What is the remainder when 22 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.98 + 0.02. What is the closest to d in 5, 3\/2, -1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by (-2 - -9) + (-43)\/(387\/(-810)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5065?\nAnswer: 5, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 32 = -56. Calculate the remainder when 69 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26415, -26511, -26621, -26745, -26883, -27035, -27201?\nAnswer: -27381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 1890?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5775 and 495?\nAnswer: 17325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68830?\nAnswer: 2, 5, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -74055 and -74152 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117174 is divided by 649.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 545272236 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.9674 to 0 decimal places.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 5a3b2?\nAnswer: -5a3b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 14*j + 983. Determine b(39).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3574 or -24\/17?\nAnswer: -3574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-14 + 2 - -9) + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 31*x**2. Let t(z) = -3597*z**2. Give s(t(h)).\nAnswer: 401090679*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d + 4. Let a(r) = -5*r - 4. Let q(z) = 6*a(z) + 5*l(z). Let v be q(-5). Suppose -v + 8 = -o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 0) + -5 + 1 - (-3 + 6 + -28)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(0 + 2) - (-1950)\/(-624).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -3. Suppose -2*o = z + 1. List the prime factors of (o*1)\/(6\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(21*v**2 - 78*v**2 - 32*v**2 - 82*v**2) in the form d*v + p + a*v**2 and give a.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**4 + 3*l**4 - 4*l**4 + (-l - 5*l**2 + l)*(-4*l - 2*l**2 + 4*l))*(-2 - l + 2).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y**2 - 4*y + 4*y)*((-1 + 4 - 4)*(1 - 5 + 3) + 2 - 2 + 1)*(-4 + 8 + 13) to the form i*y + o*y**2 + n and give o.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 7 - 7*w + 9*w - 23*w**3 in the form j*w**2 + x*w**3 + o*w + q and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145461?\nAnswer: 1145461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**4\/36 + 4*n**3\/27 - 2*n**2\/9 + 13. What is y in v(y) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-91)\/(-78))\/(-7)*-4)\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (25 - 11)\/(-70)*10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*r**2 - 504*r**2 + 136 - 11*r + 34*r**3 - 136 + 223*r**2.\nAnswer: 34*r**3 - 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-4))\/((-2)\/(-4)). Suppose 8*m = 2*m + 36. Suppose x - 2*p + 38 = m*x, -p = -2*x + 8. Calculate the greatest common divisor of x and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 885436 and 1.\nAnswer: 885436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 + 69*z + 71. Let d be u(-22). Solve -d*n - 3*i + 27 = 0, -7*i = 5*n - 2*i - 35 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2 - 0. Suppose 7*b = j*b - 30. Let u(q) = 30*q**3 - 5*q**2 + 6*q - 4. Let z be u(b). What is z rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 4*c + 17 = 0, -2*i + 17*c - 6 = 11*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -2026400?\nAnswer: 2026364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/184*(-15)\/((-600)\/1088) and 11\/23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 804?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100001010010110111001001 + 10?\nAnswer: 1000100001010010110111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 623695 and 124739.\nAnswer: 623695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6480.0585 rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let j be y(3). Let i(q) = 2*q - 3. Let c be i(j). Let k(t) = 15*t - 178. Let n be k(12). Solve 2*l = x + n*x - 6, -c*l + 3*x - 6 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*c - 9 = -49, 3*c + 15 = -2*n. Let o = n - -37. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iooo when four letters picked without replacement from coxxxxciticicc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 385 and 616?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 3392. Let b(l) = -4*l. Determine h(b(f)).\nAnswer: -16*f**2 - 3392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 8:13 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -437*v + 235*v + 351*v + 452*v + 527*v in the form b + z*v and give z.\nAnswer: 1128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6699 - -6745. Solve 30 = -8*k + p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -8*o - 2, 4*r - 5*o - 21 = 0. Solve 3*z = -2*y + 1 - 9, -r*y + 4 = -4*z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 4:21 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -24. Solve -h*q = -0*g + 4*g, 2*q + 2*g = 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8968, -35859, -80656, -143341, -223896?\nAnswer: -322303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -12\/61, 0.2, 1, 0.23, 2, 0.4, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1931 divide 85865777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -31 + 21 + (-10)\/(-2) - 13*-1. Solve -2*f + 3*x = 8, -6 + r = -4*f - x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*z + 43 + 88*z + 25 - 138*z wrt z?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2222?\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/275 and 17\/22?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/99*15\/(-4)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 5275?\nAnswer: -15825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2 - 3, 0 = -2*v + h + 361. Suppose -v = 4*g - 1677. Calculate the greatest common factor of g and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4747375, 9494736, 14242097?\n\"Answer: 4747361*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*j**4 + 2*j**3 + 946*j**2 wrt j.\nAnswer: 1776*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 5*l + 7*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(153) + -3 + 0 + 1*sqrt(17)*-3)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4 = 0, -3*u - 4*z - 18 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11695.0000056855 - -11695. What is g rounded to 7 dps?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 divided by 2281?\nAnswer: -286\/2281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/11 + 40*r.\nAnswer: -2*r*(r - 220)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g**3 - 6*g**2 - 6 - 4*g + 11*g - 4*g**3. Let t be f(5). Suppose -6*x = z - x - 64, 0 = t*x - 12. Round z to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dvvvddv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*y + 2650 + 301 + 1899 = 0 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 7*c**5\/15 + 5*c**4\/24 - 2*c**3\/3 + c**2 - 2521. Calculate n(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1517682.0177 + -1517884. Let q = -202 - p. Round q to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11204464 - 3?\nAnswer: -11204467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 4, n: 1, l: 1, v: 1}. Give prob of picking 1 n and 1 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -84630 - -158647. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d + 1. Let k(f) = -f - 3. Let v be k(-4). Let l be h(v). Let o = -0.187 - 0.013. What is the second biggest value in o, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6475685 is divided by 137?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 2*j - 3*j + 7*j to the form f + b*j and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -165, -167, -169?\n\"Answer: -2*s - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27051 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 80 in 65, -2, -3\/7, 54?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2068 divide 13355144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -95. Let x = 45 - q. Let w = -4\/3 + 1. Put x, 1\/4, w in decreasing order.\nAnswer: 1\/4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.099 less than -1806952?\nAnswer: -1806949.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 640089*o\/2 + 1600210.\nAnswer: (o - 640084)*(o - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18342*c - 18342*c + 5*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9*1)\/((-3)\/273*-7). Let c = r - 111. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165.312*-2.3\nAnswer: -380.2176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 56. Let r(y) = 2*y - 3*y**2 - 4*y + 4*y - 3*y + 112. Let c(j) = -9*h(j) + 4*r(j). Differentiate c(d) with respect to d.\nAnswer: -6*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/1264788 and 145\/562128.\nAnswer: 5059152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1812 and 558.\nAnswer: 168516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1051.64 - -1076. Let h = u + 0.64. Let x = h - 24.977. What is x rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n*n**1))*n)**(-1\/15))**(-37) assuming n is positive.\nAnswer: n**(74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-64)\/12)*-2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/112 and -3\/813232.\nAnswer: 813232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18082965?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 702037 is divided by 116997?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.7536 and -9.8.\nAnswer: -154.38528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 77490139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.699617l in millilitres?\nAnswer: 3699.617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/31, 0.03, 0.4, 1.\nAnswer: -1, -2\/31, 0.03, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 238 - 183. Calculate the remainder when v is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f - 7. Let s(y) = 2*y + 6. Suppose -j - 2*i = -5*i + 8, -3*i + 12 = 0. Let n(k) = j*p(k) + 5*s(k). Determine n(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27311\/11256 - -15\/469. Calculate the common denominator of l and -109\/282.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58154552 is divided by 5286776?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 l when three letters picked without replacement from lzzfzzlzlf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 65 = -55. Suppose -8 = -2*d + 4*i, h*i - 48 = -5*d + 2. Let s(v) = v**3 - 7*v**2 - 8*v - 11. What is s(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixxx when four letters picked without replacement from {s: 3, i: 1, a: 1, k: 1, x: 5}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -74072 divided by 197?\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 2 = -46*c + 49*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/7, -56.5 in ascending order.\nAnswer: -56.5, -0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 218327602 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b, 0 = -4*d - 24*b + 16*b + 8. Let g(q) be the first derivative of q - 1\/2*q**d + 1. Let v(h) = 8*h - 4. Calculate 4*g(a) + v(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 114.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 117*z**2 + 223*z - 26081. What is d(117)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*k + 160*k**3 - 163*k**3 - 40*k - 42*k**2 - 33*k in the form q*k**2 + v*k**3 + c + p*k and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*h - 109*h = -234*h + 77 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 30 = 4*q, q + 0*q = -5*j + 48. Solve j*y - 6 = 6*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -362 or -284240\/783?\nAnswer: -284240\/783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1414615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07395847 to 4 dps.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362498387?\nAnswer: 362498387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -35. Let c(a) = -5. Let j(d) = 15*c(d) - 2*y(d). Let z(s) = -1. Let m(k) = -2*j(k) + 9*z(k). Let h(w) = -w**2 - 7. Calculate -h(p) - 4*m(p).\nAnswer: p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, q: 1, e: 1, p: 5, o: 1}. Give prob of sequence pqeo.\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-3)\/(-9) + 56\/66 - 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4 - 876*k**3 - 133917*k**2 - 2794574*k + 2929368 = 0.\nAnswer: -687, -164, -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 646, -15, 320, -2.\nAnswer: -15, -2, 320, 646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 751753.4 nanometers to kilometers.\nAnswer: 0.0000007517534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*r + 550 = -37*r. Suppose 0 = 12*h - h - r. Suppose 0 = -3*j + 245 + h. What is j rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*(sqrt(605) + 2)*3 + (-2*sqrt(605)*-2*-6)**2 + -3 + 4.\nAnswer: 165*sqrt(5) + 348511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/4*(-2 + 0 + 1). Let t(x) = x**2 + x. Let h(n) = 5*n**2 - 2*n**2 + 5*n**2 + 167*n - 155*n. Give g*h(m) + 22*t(m).\nAnswer: 6*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23661)\/(-441672))\/((-36)\/7).\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -128 + 156. Let l(b) = d - 21 + 2*b + 6*b - 4*b**2. Let f be -1 + ((-6)\/(-15))\/((-3)\/(-15)). Let x(z) = -z**2 + z + 1. Determine f*l(t) - 6*x(t).\nAnswer: 2*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, t: 8}. Give prob of sequence ttto.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(34\/51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2808266.1 to the nearest ten thousand.\nAnswer: 2810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 396, 794, 1192, 1590, 1988?\nAnswer: 2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 30*z - 38*z. Is 3 a factor of (-1712)\/z + 2\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**(2\/7)\/x))\/(x\/x**(-5)) assuming x is positive.\nAnswer: x**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-189) + 462\/(-324).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c - 34. Calculate a(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 73, -4, 0 in increasing order.\nAnswer: -8, -4, 0, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28761, 57499, 86237, 114975?\n\"Answer: 28738*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34\/(-136)*1*28\/(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 (base 13) in base 11?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyewyyeeeey. Give prob of sequence eyy.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 16 = -f, -f + 0*r = -r - 4. Suppose 2*i - f - 3 = 0. Let d(l) = 4*l**2 - 2*l + 3. Is d(i) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26214 - (-7)\/1 - -2. Let i(l) = k + 2*l**2 - 26223. Let f(y) = 231*y**2. Determine f(i(a)).\nAnswer: 924*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**3 - 2*j**2 + 1. Let r be w(1). Is r\/(((-6)\/(-4))\/(194\/4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.08 - -4.92. Let l = -58 - -57.9. Put k, l, 3 in ascending order.\nAnswer: l, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**5\/20 + 5*n**4\/6 + 5*n**2\/2 - 6*n. Let s be z(-10). Suppose s*p = p + 20. What is the remainder when 19 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 2\/39, -3, 0.2, 5, -5?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w. Let b(y) = -2*y**2 + 7*y + 7. Let i(j) = 2*j**2 - 6*j - 6. Let a(o) = -6*b(o) - 7*i(o). Determine a(v(p)).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -171 (base 15) to base 6\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*w - 5*w**2 + 0*w**2 + 172*w + 7*w**2 - w**3 as f + j*w**2 + b*w + c*w**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 24 = -0*p. Let g(w) = w**2 + 4*w - 10. What are the prime factors of g(p)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 66.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -17*i - 93. Determine h(-11).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3535 and 12761.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 16*c**2 + 2. Let u be x(16). Suppose -5*j + u*p = -57, -3*j - 5*p = 7 - 35. Solve -j*i = -6*i + 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*d**2 + 183*d**2 + 244*d**2)*((-5 - 1 + 4)*(0 - 2 + 1) - 6 + 4 + 1).\nAnswer: 412*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/9102296 and -87\/2275574.\nAnswer: 9102296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -8*i**2 + 10*i + 97. Calculate k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181271314 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 86364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 7*g - 13. List the prime factors of o(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*3*(-1)\/3. Suppose -y = l*y - 6. Suppose 38 = 3*m + y. Solve -2*z - m = 2*j, -2 = 3*j - 4*z - 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - -263) + (0 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.049 - 23.951. Let s = p + 18.5. Let q = s + 5.56. What is q rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) + 339\/35. Let g(s) = -s**2 - 41*s - 9. Let p be g(-41). Let y = k + p. Which is the third smallest value? (a) y (b) 2 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34 - 34 + 10*d**4 + ((0 + 17 - 1)*(4 - 4 - 2*d**2) + 2 + 2*d**2 - 2)*(-6*d**2 + d**2 - 6*d**2).\nAnswer: 340*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57611 - 543971 = -84*d. List the prime factors of d.\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 3*l**2 - 3*l**2 - 2*l**2)*(3*l - 4*l + 3*l + (-1 + 0 + 3)*(-3*l + 2*l - l) + 8*l - 17*l + 4*l).\nAnswer: 14*l**3 + 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvdv when four letters picked without replacement from ddvvvdddddddvv?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212 (base 4) in base 3?\nAnswer: -10210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 4*y + 28 = 0, k + 16 = -2*k + 2*y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 489024006.449998994 - 489024006. Let q = i + -0.45. What is q rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 4*a + 7. What is the smallest common multiple of 6 and p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0909 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-two ninths of a day?\nAnswer: 3520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpqppppplrjrlr. Give prob of picking 1 l and 1 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from teltttttsac?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 281.6 to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*h - 34. Suppose -2*q = 4*k - 2126, 25 = -4*q + h. Suppose -k = -4*t - 98. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-6) + 11035\/6621\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 - 5*u**2 - u**2)*(u + 0 + 0) + 0 - u**3 + 0 + (2*u + 2*u - 3*u)*(0*u**2 + 4*u**2 - 5*u**2) + 0*u**3 + 0*u**3 + 2*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2448) + 5) + -3*(3 + sqrt(2448)) + sqrt(2448))**2.\nAnswer: 4176*sqrt(17) + 88969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eebu when four letters picked without replacement from {b: 5, v: 1, e: 5, k: 2, u: 2, o: 5}.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1195 + 1200. Suppose -4*a + 3 = -5. Suppose a*v - 14 + 2 = -3*l, -p = 5*l - 5*v. Solve -l*m = -0*m - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 54\/1 - (-5 + 10 + -5). Calculate the highest common factor of 27 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 + (-474)\/(-18) - 4\/(-6). What is the biggest value in o, -9, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**5\/60 + c**4\/6 + c**3\/3 + 22*c**2. Let b be (-1)\/3 - 26\/(-6). Calculate k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k + 2*k - 4960 = 0. Calculate the remainder when k is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -16571*t + 16576*t + 15, -5*m + 30 = 2*t - 7*t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (1 + 11 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1446608100 to the nearest one million.\nAnswer: 1447000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3320\/(-1640)*287\/(-7).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37834 - -37809.201. Round o to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411403 to the power of 1\/2, to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from uuuwwwwuuuuuuuwuuu.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 125.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 98 or 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/40775040 and -91\/29901696?\nAnswer: 448525440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8865, -17731, -26597, -35463?\nAnswer: -44329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 268268738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1584)*-1)**2*-4 - (3 + sqrt(1584) + 2*sqrt(1584)) - (4 + (sqrt(1584) + sqrt(1584) + 1*sqrt(1584) + sqrt(1584))**2 + 1)).\nAnswer: -190128 - 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9422305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**2*m - 1040538*a**2 - 2*a*m - 3*a + 801*m + 87 wrt a?\nAnswer: -6*m - 2081076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 738881 or 738731?\nAnswer: 738881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 12 = -2*j, -4*t + 20*j = 18*j - 24. Solve 48*k = 49*k - t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25057*i**3 - 2*i**2 - 163*i + 15.\nAnswer: 150342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 20*x**2 + 14. Let p be v(20). What is the derivative of -66 - 37*z**2 + p*z - 13*z - 81 - 1 wrt z?\nAnswer: -74*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -12?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-2 + (sqrt(17) + 1 - sqrt(17)) - sqrt(17))*-4 + sqrt(85)\/(-6*(sqrt(5) + 1*sqrt(5))))**2.\nAnswer: 94*sqrt(17)\/3 + 39569\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -58\/13, 3, -1\/6, -310, -141, 0 in descending order.\nAnswer: 3, 0, -1\/6, -58\/13, -141, -310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**9\/126 - 11*s**5\/60 - 8*s**2. Find the third derivative of o(f) wrt f.\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3 - 16*s**2 + 408*s + 864 = 0 for s.\nAnswer: -18, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -t - 58, 3*j + t = j + 26. Let s be (-6)\/(-4)*j\/(-7). Let l = -0.98 - 0.02. Is l at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + 103. Suppose 0 = j + 5*j - y. Is j a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -36*x**3 - 2*x - 1. Let y be a(-1). Suppose 3*p + y = 232. Suppose 15 = 4*v - p. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*m)*(-3*m + 5*m + 6*m)*(2*m - 4*m + 3*m).\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - 4. Let i be (-2)\/(-2) + 26*s. Let q = i - -307. Calculate the greatest common divisor of q and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -236.23 + 235. Let q = a + 1.2. Which is smaller: q or 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -854.997275 - -855. What is o rounded to four dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f**2 + 46*f + 63. Let i be t(-6). Which is the nearest to 9? (a) i (b) -6.9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**4 - 2*p**3 + p**2 - 2*p. Let b(w) = -451*w**4 - 12*w**3 + 203*w**2 - 12*w. Let y(q) = -b(q) + 6*h(q). What is the third derivative of y(s) wrt s?\nAnswer: 10680*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 + -111110000010001011000110?\nAnswer: -111110000010001011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3*-514\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 827605755 to the power of 1\/2, to the nearest integer?\nAnswer: 28768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1102 + 2263?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13 - (-1 - (2 + -1 - 1)). Suppose 7*r + l = -0*r. Is ((-814)\/(-33))\/(r\/(-33)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -u - 2*u. Let a = u + 9. Suppose -2*o = -4*x + 600, 3*o + 515 = a*x - 235. Round x to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.14.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 242174834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from owc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: a305 (base 16) to base 6\nAnswer: 521113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-7 - 1)) + -2. Suppose -y*k + 27 = -21. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8462605 to the nearest integer?\nAnswer: 2909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-8)*w*(w*w**(-1\/4)\/w)\/w*w)\/(w*w*w\/w**(1\/6)*w**(2\/11)))**(-30))**(-13) assuming w is positive.\nAnswer: w**(-88075\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j**3 + 20*j**2 - 8*j**2 - 58*j**2 - 76*j**2 - 32*j**2.\nAnswer: 43*j**3 - 154*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l\/l**(-2\/9))\/l)\/l)\/l)**(-11\/3))**45*l**(-1\/3)*l*l**6*l*((l**(2\/9)*l)\/l)**(-1\/19) assuming l is positive.\nAnswer: l**(51469\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -6814.\nAnswer: 2044.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -0.0909 (c) 2.6 (d) 511\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -452825428 to the nearest 1000000.\nAnswer: -453000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -16\/28083?\nAnswer: -16\/28083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10701 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52227)\/441 + 119 + 2\/(-3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36270)\/576 + 36 - -27?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-40) + 2\/8. What is the third biggest value in -1, b, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1332143432 (base 5) to base 14.\nAnswer: -645c46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.080049 rounded to three dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 1, o: 1}. What is prob of sequence to?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27936 and 3352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51052620 is divided by 2363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y + 17 = -r, -13 = -y - 3*r. Let g = 3.03174 + -0.03174. Which is the second biggest value? (a) 10 (b) y (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72285 and 35.\nAnswer: 505995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -13. Suppose g = 4*a - 1186 + 194. Suppose -a = -l - 0*l + 3*d, -2*l - 2*d + 472 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1402 and 20.\nAnswer: 14020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*w - 4, 7 = 3*w - 2*w - l. Suppose 4 - 12 = -4*q. Sort 3, q, w.\nAnswer: q, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 501 - 527.9. Let k = t + 27. What is the smallest value in 11, -1\/11, k?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 614, 2624, 6032, 10838, 17042?\nAnswer: 24644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h**2 - 1. Let w(y) = 5*y**2 - 6*y - 6. Let j(x) = -14*x**2 + 17*x + 17. Let t(n) = -6*j(n) - 17*w(n). Give q(t(m)).\nAnswer: 8*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(7) + sqrt(112)*2)**2 + sqrt(7) + 0 + 1 + sqrt(7) + sqrt(35)\/sqrt(5)*2 + sqrt(7) + (sqrt(7)*2)**2 + 1.\nAnswer: 5*sqrt(7) + 597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 - 68. Let h be 39\/(-26) + 62\/(-4). Let u = h + a. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -943171 (base 10) to base 4\nAnswer: -3212101003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**3\/3 - 13*h**2\/2 - 12*h + 50. Factor z(s).\nAnswer: -(s + 1)*(s + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -28. Let y = c - 37. Sort 6, 4, -0.4, y in ascending order.\nAnswer: -0.4, y, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 5, -70, -9566 in ascending order.\nAnswer: -9566, -70, -22, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*r - 5*h, 5*h = -3*r - 18 - 17. Let l = 7 + r. Differentiate -5*y**2 + 8 - 2 + 0*y**l + 4*y**2 wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7727?\nAnswer: 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10 + 0 - 10 + 5*d - 14. What is f(-8)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from ccccbcbcycbsbbbbsc?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.959 and 7823.9.\nAnswer: 7824.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-7))\/(o\/o**(-6))*o**2*o*o**(-2) assuming o is positive.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 10*x + 1640. Let p be f(0). What is the highest common divisor of 80 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 1. Let h = j - 14. Let c = -15.99999785 - h. Round c to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u - 2*u + 2*u)*((1 + 3 - 5)*(3 + 3 - 4) - 2 + 1 + 2 + (2 + 0 + 1)*(0 - 2 + 3) - 9 - 11 - 70).\nAnswer: 616*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/33 in -0.02, -1, 0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 115*b + 3229. Calculate u(-56).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 7:36 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 + 3*y + 14 + 23*y + 3*y**2 - 5. What is the tens digit of d(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -34\/355?\nAnswer: -34\/355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 34*a**3 - 31*a**2 + 12*a - 15. What is the thousands digit of z(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {a: 9, c: 2, g: 5, d: 2}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*s + 0*s + 129*s + 49*s.\nAnswer: 226*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d - 9. Let p be b(-6). Suppose 5*v - 2*v = p. Solve -v = 3*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4645*w**3 + 0*w**2 - 4641*w**3 + 0*w**2.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 5:11 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - y = -4, 1573*m + 4*y - 3*y = 1572*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 + -172. What are the prime factors of 1*q\/((-18)\/(-2922))?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2190 and 67840?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 447*i**3 + 41*i**2 - 45*i - 177578511 wrt i.\nAnswer: 1341*i**2 + 82*i - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 21*c + 293. Determine a(32).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7098ec4 + -4?\nAnswer: -7098ec8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36944666179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 0.18.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/420 and 113\/7980.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 - (-1 + (-5 - -6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212*h**3*s**3 - 3*h**3*s - 2*h**3 + 9005*h**2*s**2 + 2*h**2*s + s**3 + 2 wrt h?\nAnswer: -1272*s**3 - 18*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4203382 (base 9) to base 15\nAnswer: 2e58cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 80.1. What is the fifth smallest value in 1, 0, 1\/6, -4\/5, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38\/63 - -8\/21. What is the nearest to -0.1 in z, -15\/2, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26507, 53020, 79533, 106046, 132559, 159072?\nAnswer: 185585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6427, 7013, 7585, 8137, 8663?\n\"Answer: -v**3 - v**2 + 596*v + 5833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wqqww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 6 = 5*n, 4*v + 2 = v - 4*n. Solve -h + v*h - c + 7 = 0, -10 = 4*h + 5*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 3*n - 1. Let h(i) = 2*i**3 - 6*i - 3. Let d(o) = -o - 1. Let l be d(-6). What is l*f(k) - 2*h(k)?\nAnswer: k**3 - 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 29, 70, 133, 224?\n\"Answer: r**3 + 2*r**2 + 12*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223346 (base 12) to base 10.\nAnswer: -544806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 126a904 (base 12) to base 2\nAnswer: 1101110101011010010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 6*l = -2*k - 8, 5*l = -k - 4. Let b(g) be the third derivative of 1\/60*g**5 + 1\/4*g**4 + 0*g + l + 7\/6*g**3 - 7*g**2. Determine b(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 6:17 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/464 and 35\/498256?\nAnswer: 14449424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g. Let r(a) be the second derivative of -a**3\/3 - 10*a**2 - 7*a - 1. What is l(r(u))?\nAnswer: -6*u - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + sqrt(32)*2)**2.\nAnswer: -274 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/98*-28)\/(((-8)\/10)\/2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/17, -9, -1, 1\/3, 1 in ascending order.\nAnswer: -9, -1, -6\/17, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10)*5)\/(14 + (-32)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58\/5 - 386\/35. Let a = -24 - -18. What is the closest to a in y, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-24 + 26)*-77*2\/(-4). Suppose 0 = 86*o - c*o - 144. Solve -10*v + o = -6*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + 5b7b?\nAnswer: 5b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13824164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 14*h**2 + 8*h - 1. What is the remainder when n(-15) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 12*m - 7*m. Let i = m + -21. Does 8 divide (12\/14)\/(((-12)\/(-112))\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5 - 28987999*i - 29443329*i - 27*i**4 + 362988*i**3 - 13791682*i**2 - 1784*i**4 - 10075022*i**2 + 32065400 + 17389048 = 0. What is i?\nAnswer: -3, 2\/3, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12300404.\nAnswer: 2, 1117, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26465094?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4928 and 547550080.\nAnswer: 4928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15491, 15493, 15495?\nAnswer: 15497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18653*j - 12881 wrt j.\nAnswer: 18653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*(5 + 3))\/1. What is the highest common factor of y and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4248289 is divided by 198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**4\/6 - 3*w**3\/2 - 7*w**2. What is the first derivative of n(u) wrt u?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1200\/(-700))\/(4\/(-14)). Let v(z) = 9*z - 17. Let q(p) = 2*p - 4. Give i*v(x) - 26*q(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*((-3)\/(-27) + 116\/(-72)). What is a in x*a**4 + 0 + 9\/5*a**5 + 0*a + 3\/5*a**3 - 3\/5*a**2 = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.4, 2, 0.1, -21, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-314)\/(-2) - 26\/(-13). Suppose -z = 2*n - 53, 11*z - 8*z + 2*n - i = 0. Is 53 not equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 22 = -5*s, 13*r - 11*r + 5*s = 19 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -36. Let w = -99 + 111. Let f = n + w. What is the third biggest value in f, -3\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1514, -3134, -5856, -9698, -14678, -20814, -28124, -36626?\n\"Answer: -3*k**3 - 533*k**2 - 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/36378 and -40\/3741.\nAnswer: 1054962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4537, -8457, -12377, -16297, -20217, -24137?\n\"Answer: -3920*s - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 6*w - 20, 10*w + 20 = 5*h + 14*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -4 (b) 3\/7 (c) -0.09 (d) 20 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -201823957 and -201823957 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46333622 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -283 - -341.2. Let r = 113 - 171. Let x = t + r. Which is the second smallest value? (a) 3\/7 (b) 2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 3*w**2 - 5. Let t = -14 - -19. Let a(y) = -2*y**3 + 5*y**2 + 9. Suppose -u + 4*c + 1 - 10 = 0, -c - 6 = -3*u. What is t*m(x) + u*a(x)?\nAnswer: -x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 6:18 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -96.6071\nAnswer: 91.6071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 9:59 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (2*(sqrt(432) - ((sqrt(432) - (sqrt(432) - (sqrt(432) - 1*sqrt(432)))) + 4 - sqrt(432) - sqrt(432)))*-4 + 1)*-6)*1)**2.\nAnswer: -667008*sqrt(3) + 8995201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.679254 milligrams to nanograms.\nAnswer: 1679254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {r: 5, o: 11}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 1314?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 2:31 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 296*v**3 + 256*v**3 + 285*v**3 - 17 - 865*v**3 to l*v**3 + g*v**2 + r*v + i and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 18*g**5\/7 - 922*g**4\/7 + 2832*g**3\/7 - 2312*g**2\/7 + 384*g\/7 = 0.\nAnswer: 0, 2\/9, 1, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28440 + 36424. List the prime factors of z.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7 - 2*m**2 - m - 7. Let j be i(-1). Put -5, -4, j in descending order.\nAnswer: j, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -102, -5, 0.4, 4, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -40*b**3 + 5*b**2 + 8*b + 84. Is v(-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 25 = 3*t, -5*r + 4*t = -r + 20. Let j(a) = 1 - 3*a - 3 + 1. Let s be j(r). Calculate the greatest common divisor of 112 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282193 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1054781 times 120?\nAnswer: -126573720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrn when three letters picked without replacement from nsrqqsqnpnqssqnn.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d5b7 - 4?\nAnswer: d5b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s - 5. Suppose 0 = 4*r - 5*i + 2, -21*r - 3*i = -16*r - 16. Suppose 2*g = r*l - 2, -3*l - 11 = 2*l - g. Determine d(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4 - 20822720.\nAnswer: -20822722.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.32 - 0.02. Let h = -0.63 - -0.03. Let d = h + 0.6. What is the third smallest value in -3\/5, o, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -11, -1\/5, -18?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.047 from 0.05.\nAnswer: 0.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o + 2. Suppose 3*d = -2*h - 27, 0 = 4*d - 0*d + h + 31. What is the lowest common multiple of l(1) and -1 + 6 - (-14)\/d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 1. Let f(z) = -513 - 514 + 1022 - z. Let j(u) = -2*u - 8. Let p be j(-6). What is p*b(y) + f(y)?\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iitcttt. Give prob of sequence titt.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -16*x + 23*x - 6*x. Let l(b) = 83*b. Calculate h(l(d)).\nAnswer: 83*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-30))\/(-69 - 20910\/(-306)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = 11122 + 36678. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 4*x + 9. Let d(b) = 5*b + 2*b**2 - 9 - b**2 - 2*b**2. Let v(q) = 6*d(q) + 5*y(q). Is v(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (6 - 7)) + -1 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/3661188187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4476 is divided by 510.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3952 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*180\/(-50)*20\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -r - 4*t, -2*r + t = 5*t - 42. Is (-4)\/10 + 156\/r a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 6 = 3*p, 0*p + 3*p - 6 = -w. Suppose -p*r - 502492 + 1942492 = 0. Round r to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**14*x*x))\/x**5)**19*(x**(-2))**(-4\/11)\/(x**(-1)*x)**(-2\/91) assuming x is positive.\nAnswer: x**(-4172\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(14)\/sqrt(2)*-4)**2 + sqrt(28)\/(sqrt(12)\/sqrt(3)).\nAnswer: sqrt(7) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*k**2 - 265*k - 68*k**2 + 12*k**2 to v*k + d*k**2 + h and give v.\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - o + 23, -o + 4*o + 15 = 0. Suppose 0 = -l - 9*l + 480. Calculate the remainder when l is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j + 4. Let v be p(2). Suppose 2*n + 46 - v = 0. What is the units digit of (n\/8)\/(4\/(-66))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.56 - -0.56. Let n = m - -22.3. Let q be (-2)\/(-17*1 + 0). Which is the biggest value? (a) q (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*n**2\/3 - 36956206*n\/3 + 14782484\/3 = 0. What is n?\nAnswer: -3695621, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1330112102 + 1023?\nAnswer: -1330111013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j + 105. Let m(f) = 5*f - 107. Calculate 2*m(d) + 3*x(d).\nAnswer: d + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 54?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.06 - -0.64. Let h = j - 3. Which is the second biggest value? (a) 0.2 (b) h (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 57, 128 in decreasing order.\nAnswer: 128, 57, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 40*h.\nAnswer: 5*h*(h + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*y - 4*a - 40 = 0, -5*y + 80 = -4*a. Calculate the greatest common factor of y and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 343*y + 271*y - 183*y - 6896 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.8 + -1.8. Let l = 5 - h. Let s = -0.3 - 0. Which is the nearest to -1? (a) -3 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 246418329 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 + 37960*f**2 - 91971625*f + 69253610870.\nAnswer: -5*(f - 3053)**2*(f - 1486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -37, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000137615 to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-728)*(-448)\/256.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.22 and 39334.\nAnswer: 39333.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*r - 2)*(2 + 4 - 4)*(-2 + 4 + 6).\nAnswer: -48*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -82117778.\nAnswer: 82117778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 17*p**2. Let l be ((-4)\/(-4)*-1)\/((-2)\/326). Let q(i) = -82 - 81 + i + l. Give q(c(k)).\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -984, 2931, -2 in decreasing order.\nAnswer: 2931, -2, -984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6514662)\/86757 - -38*2?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -595*o. Let q be h(-2). Does 17 divide (q\/21)\/(4\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/330 + ((-1)\/(-3))\/((-5)\/(-171)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138966 and 4322574?\nAnswer: 82128906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4489.000004754 - -4489. What is t rounded to 7 dps?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 94206.\nAnswer: -1\/13458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.4481 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0+138.0089\nAnswer: 138.0089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -34. Calculate the remainder when 3\/(40\/x + -3) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3809 (base 16) to base 2\nAnswer: -11100000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1 + sqrt(3888))*-1 - 2*sqrt(3888)*-2) + 2)*1)**2.\nAnswer: 216*sqrt(3) + 34993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 91*k**3\/2 - 692956*k**2 + 1111699*k\/2 + 137061 = 0.\nAnswer: -18\/91, 1, 15229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*y**2 + 90*y**2 - 34*y**2.\nAnswer: 14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -8 - (0 + 26).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + ((sqrt(198)*2 - sqrt(198)) + sqrt(198) - sqrt(198))\/sqrt(6))\/sqrt(3) + -5.\nAnswer: -5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109 + 3. Let k = v - -113. What is the nearest to -1 in 0.2, k, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214 by 456.\nAnswer: -107\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orz when three letters picked without replacement from {r: 3, l: 1, o: 1, z: 1, j: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -19*z + 22. Let s = 31 - 9. Calculate the least common multiple of u(0) and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 12:38 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 7*r**2 + r. Let a be q(2). Let h = 7 - 3. Suppose 0 = -h*p + 2*p + a. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 142158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v + 2*j + 585 = 0, 4*v - j = 2333. Suppose 4*h = 12, -5*u + 4*h = -v - 755. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/2 - 12\/24. Let t = 9 - 4. Suppose -5*j + t = -0. Put j, 2\/7, x in decreasing order.\nAnswer: j, 2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86 - -106. Calculate the highest common factor of w and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -12*a**5\/7 + 33545*a**4\/7 - 23399423*a**3\/7 - 61375679*a**2\/7 + 70239593*a - 293580150\/7 = 0.\nAnswer: -25\/4, 2\/3, 3, 1399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1115\/6 - -4709\/24. What is the common denominator of -83\/56 and w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.75 and 4396843083.\nAnswer: 4396843082.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/5))\/(h**2*h))**(1\/3)\/((h\/((h\/h**0)\/h)*h)\/h**(-1\/4))**2 assuming h is positive.\nAnswer: h**(-157\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 51, -1 in decreasing order.\nAnswer: 51, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/92563212 and -89\/4446?\nAnswer: 3609965268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1576735 + 5?\nAnswer: 1576742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12 - 16)*(-120 - (1 + -3)). Calculate the greatest common divisor of t and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6756984 and 4?\nAnswer: 6756980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1122 and 3783894?\nAnswer: 41622834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 27. Let r(k) = -2*k - 1. Let q(n) = -2*n - 1. Let g(f) = -4*q(f) + 5*r(f). Calculate the lowest common multiple of g(-2) and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h**2 + 12*h + 9. Let o be k(-1). Suppose 0 = -f + 3*q - 6, o*f = -2*q + 13 - 9. Sort 52, f, -5 in descending order.\nAnswer: 52, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -111186 - -164501. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 11 + 0 = -2*z, 4*z = -8. Let n(c) = -4*c + 1. What is the lowest common multiple of s and n(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -272, -447, -634, -827, -1020, -1207?\nAnswer: -1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-13))\/(5\/(-150)*4*20\/28)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 13*j**2 - 5*j + 8. Let a(x) = -39*x**2 + 14*x - 27. Let p(c) = -4*a(c) - 11*b(c). Is 39 a factor of p(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172707422 to the nearest integer?\nAnswer: 13142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123143220 - -10?\nAnswer: 123143230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -9\/1533394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8621805?\nAnswer: 3, 5, 17, 33811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**15\/y))\/(y\/(y*y**(3\/13)*y)))\/((y\/(y\/y**(1\/20)))\/y)**(-4\/7) assuming y is positive.\nAnswer: y**(-6057\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q - 9*q = -5700. Suppose -11*h = -26*h + q. What is the remainder when 50 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*m + 0*m + 6 = 0, -5*l + 4*m - 27 = 0. Let c(t) = t**3 + 2*t**2 - 3*t + 2. Let p be c(l). Suppose -p*k = -4*k + 38. Which is bigger: k or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**3 - 4*o**3 - 2*o**5 + (-2*o**2 - o**4 + 2*o**2)*(0 + 2*o + 0) + o**2 - o**2 - 3*o**5.\nAnswer: -7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 6*t**2 + 4*t - 51. Let l be n(6). What is the greatest common factor of l and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 3. Let t be c + -5 - 4*-1. Let z(r) = 2*r + 7. What is the remainder when z(t) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 375, 750, 1125, 1500?\nAnswer: 1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*i - 4717*i**6 - 187*i + 89*i + 2352*i**2 wrt i?\nAnswer: -566040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 25.92.\nAnswer: 233.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*c + 4783 - 1593 = 0. Calculate the remainder when 1040 is divided by c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4014*t**3 - 2009*t**3 - 2008*t**3 - 115*t)*(t - 4*t + 2*t) in the form f*t**3 + s*t**4 + n*t**2 + d + q*t and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101299.\nAnswer: 11, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720092 a multiple of 628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 43 = -3*n, 9 = 2*n - 5*v - 28. Suppose -3*b = -3*q - 3, 2*b = -2*q - n + 20. Solve 4*k = -2*g, -5*g - q*k = -0*k - 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 2*m**2 - 5*m + 3. Let c be d(3). Let t = c - 46. Does t = -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1643804 or -1643802?\nAnswer: -1643802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -9*n + 233. Suppose -n*o = -12 - 148. Factor 0*v + 4\/7*v**o + 0*v**2 + 0*v**3 - 4\/7*v**4 + 0.\nAnswer: 4*v**4*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 43, -4 in decreasing order.\nAnswer: 43, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13\/((-52)\/8))\/((-1)\/2). Suppose -r*z = 3 + 9, 963 = 4*s - z. Calculate the greatest common divisor of s and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 5412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehhehhe. Give prob of sequence ehee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5\/3 (b) 55 (c) -5 (d) 103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -20.6. Let v = d - 2. Which is the nearest to 2? (a) v (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5941 is divided by 1443?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (795\/10*2\/12)\/((-33)\/132)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -280.5261 to zero dps.\nAnswer: -281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.75 times 30.4?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:40 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -27. Let v be ((-21)\/(-12) + -2)\/(2 + p). What is the nearest to v in 2\/7, -0.5, -1\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (990\/(-210))\/(6\/(-14))*-1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 4:29 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.209838 nanograms?\nAnswer: 0.008209838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*p + 215 = 0. Let u = p - 43. Suppose 0 = 3*x - 5*k, -3*x + k + 2*k = u. Solve 3*l - 2*l - 1 = x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1974 + 1994. Solve -3*b = 11*b + d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 583203046 and 5132?\nAnswer: 2566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3010229 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 + -55. Suppose q*y - 5*y - 5*y = 0. Which is bigger: y or 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/10)\/((-2)\/16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 465 and 90?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(72)\/sqrt(6)*-6 + sqrt(12)) - (sqrt(2016)*-3 + sqrt(56))\/sqrt(7))*-5.\nAnswer: -168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 + 0*i**2 + 12*i**2 as d*i**2 + f*i + x and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -9*y + 1. Let d be r(-7). Let p be d\/(-36)*1\/4. Let f = -79\/120 - -8\/15. Which is the smallest value? (a) p (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1687 in -4, 0.2, 4, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -17*t**2\/2 - 16*t + 1. What is the first derivative of y(w) wrt w?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (105*f - 43*f - 4*f)*(-11*f**3 + 2*f**3 - 13*f**3) to the form g*f**2 + b*f**3 + u*f**4 + y + p*f and give u.\nAnswer: -1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/(4\/6). Is (-1436947)\/(-436) - (r\/(-4) - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/8 - 1008*w**4 - 4064253*w**3\/2 + 12094*w**2 + 24369408*w - 32514048 = 0.\nAnswer: -4032, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 2.2 (c) 1\/9 (d) -61 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223155 (base 9) to base 7.\nAnswer: -1064216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1411554 divided by 45534?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 7 + 2)*(-5 - r + 4 + 2 + (-r + 2*r + r)*(0 - 3 + 1))*(2 - 3 - 4) to the form l*r + w and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 774, -9, 5, 0.1, 46?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9987*k*q*u**3 + 857*k*u + q*u**3 + 2*q*u**2 + 2*u**3 + 5636166*u**2 wrt k.\nAnswer: -9987*q*u**3 + 857*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2256453 (base 7) to base 12\nAnswer: 117a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28 - -242a59?\nAnswer: 242a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u - 13. Let q(a) = a**2 + 11. Calculate f(q(c)).\nAnswer: 8*c**2 + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**3\/6 + 7*i. Let d(o) = 490*o**2. Determine d(a(k)).\nAnswer: 490*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m. Suppose -2*g + 3*a + 2*a + 9 = m, -2*a - 42 = -4*g. What is the greatest common factor of 120 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.35 - 0.35. Sort k, -0.1, -5 in decreasing order.\nAnswer: k, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 13) to base 9.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/(h\/h**(2\/5))))**(28\/3)\/(h*h\/(h*h\/(h*h\/(h\/(h**(-2\/27)*h*h))*h))*h*h**(-4\/3)\/h))**(2\/11) assuming h is positive.\nAnswer: h**(3332\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3580 + -3584. Which is bigger: -2\/3 or k?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 426493145 to the nearest integer?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3880473 is divided by 129344.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/16 - (6942\/208 + 660\/(-20)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfd when three letters picked without replacement from qdwdmqddqqwddqdwff?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 7*j - 4. Let g(t) be the first derivative of 2*t**3\/3 + 15*t**2\/2 + 8*t + 7. Let k(i) = -3*g(i) - 7*h(i). Factor k(m).\nAnswer: (m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*r - 41, -5*r + 5*x - 25 = 100. Let v be 16\/(-56) + 10\/r*-68. Suppose 8 = -4*w + v. Solve -w*t - 10 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**5\/20 - i**4\/2 + i**3\/2 + 13*i**2\/2 - 4*i - 15. Let q be u(5). Let x(j) = 4*j - 2. Determine x(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-104)\/6)*(-12381)\/8254?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 8049696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (7\/(-6))\/((-213)\/18 + 12). Sort y, 1, 18\/41, -3, -4 in descending order.\nAnswer: 1, 18\/41, -3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14493 to three decimal places.\nAnswer: 0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d + 24. Give x(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, t: 2, k: 4, c: 10}. What is prob of sequence tyt?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.709 + -11.6. Let l = c + 23.391. What is l rounded to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j**3 - 36*j**2 - 1603*j - 3073. What is d(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 7*d + 8*d + 20*d**4 + 8*d**4 to k*d + p + f*d**4 + g*d**2 + h*d**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 9*m**2 + 8*m - 2. Let b be r(8). What is the closest to -0.2 in 1\/3, 3, b, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43.6214 - -0.0786. Let y = 7.7 - t. Which is the second smallest value? (a) 1\/4 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*q - 14, -h - 5*q + 13 = -2*q. Let s(t) = -6*t**2 + 2*t - 1. Let v be s(h). Let o(z) = z**2 + 5*z + 7. List the prime factors of o(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 167440, 0, -1 in increasing order.\nAnswer: -1, 0, 167440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 + 3 - (-42 + 39).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -34. Let p = u + 31. Suppose -4*a = -p*l - 0*a + 53, 4*a + 8 = 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: Let t = -49 - -26.8. Let p = t + 23. Let f = -1.2 - p. Is f at least as big as 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - 2 + 0*f**2 + f**2)*(-12009 + 1413*f**2 - 37142*f**2 + 12009).\nAnswer: -35729*f**4 + 71458*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k - 3*k + 2*k - 14*k.\nAnswer: -27*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.0731 + -235410.\nAnswer: -235412.0731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2269308329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 1, j: 1}. What is prob of picking 1 j and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -25*s**7\/189 + 8*s**6\/9 - 59*s**5\/90 - 52*s**4\/27 + 28*s**3\/9 - 16*s**2\/9 - s - 2. Determine j so that q(j) = 0.\nAnswer: -1, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17666 or 15172?\nAnswer: 17666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + -4*(sqrt(1008)*-6)\/sqrt(9)*-2 + 5)*-6.\nAnswer: -60 + 1152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-459)\/6 + (-1)\/(-2). Let f = w - -96. Suppose 0*l + 5*o + 7 = -2*l, f = 2*l - 4*o. Solve -l*t = -3*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 5*x + 10. Let m be a(-4). Calculate the highest common factor of 12 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9748, -38865, -87348, -155185, -242364, -348873, -474700, -619833?\n\"Answer: 2*j**3 - 9695*j**2 - 46*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) - sqrt(88)*1 - sqrt(88))*6 + sqrt(88))\/(sqrt(8) + sqrt(64)\/((sqrt(8)*1 - sqrt(8)) + sqrt(8))) + (-2*(sqrt(539)*2 + -4) + 4)**2.\nAnswer: -674*sqrt(11) + 8768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 310750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l**3 - 21*l**3 - 22*l**3 + 66*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 2\/9, -0.217, 8.13, 0.05?\nAnswer: -0.217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 s, and 2 q when four letters picked without replacement from qgszowq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 614 divide 22878868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/8)\/i)\/(i\/((i*i**(-8))\/i)*i*i))**(-1\/10) assuming i is positive.\nAnswer: i**(97\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 54.36 and 0.03.\nAnswer: 54.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from cxwkwc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -19087 to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -51*564\/(-89964) - (-8)\/588?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022086644 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: 2442 divided by 3\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -93 - -160. Let f = -67 + d. What is the biggest value in -1\/4, -4, 2\/11, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (1 - (-6)\/(-3)). Suppose -4*p = -5*q - p + 30, -a*p = 5*q. Solve 2*j - 1 = -q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 31*a**2. Let u(h) = h**2 - 313939. Calculate u(b(j)).\nAnswer: 961*j**4 - 313939","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 13 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1976 < -1977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767437 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1815192 is divided by 19308?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -3. Suppose 5*y - v + 0 = 3, 5 = 3*y + v. Which is bigger: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**4 + 4612*r**3 - 3004224*r**2 + 384681788*r - 381682174 = 0?\nAnswer: 1, 167, 1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7219 - 298?\nAnswer: 6b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**2 - 55*n**2 - 22*n**2.\nAnswer: -57*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*a - 9. Suppose -a*f = m - 52, 4*f - 2*m = 36 + 20. Suppose 3*r - r = f. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 12. Suppose -3125 = 9*v - y*v. Let o be 1488\/1*v\/15. Round o to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53.2 - 78.1. Let w = j + 27. Let n = -2.9 - w. Which is greater: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 equal to 1477\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80235.\nAnswer: 3, 5, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from xxzzxwzzuxuuxuxuz.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 2*q**3 + 0*q - 183*q**2 + 3*q - q**3.\nAnswer: q**3 - 183*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*1\/(-8) - 148\/(-8). Solve 5*a + 17 = -l for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*p + 5 - 5 + 54*p - 426*p + 0.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 8. Let z(c) = c - 4. Let a(v) = -3*q(v) + 7*z(v). Let p(i) = 17*i - 17. What is 9*a(g) - 2*p(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59 + -55. Suppose 3*f = z*k + 6, -f + 0*k = -2*k. Calculate the highest common factor of 24 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-8)*2\/(-21)*-3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16161140 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + sqrt(2057) + 3 + -3.\nAnswer: 1 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 4, -3, 100 in descending order.\nAnswer: 100, 4, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1. Suppose q*l + l = 17. Suppose v + 3*j = -l, -2*v - 43 = 2*j - 5*j. Round v to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amna when four letters picked without replacement from knhmana.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -742*h + 9. Let c be b(7). Find the common denominator of 2\/7 + c\/(-1428) and (-281)\/126 + 4\/14.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*h + 955 = 0, 3*h = 5*h - 8. Suppose -10*c = -7*c - r. Let l = -84 + c. What is the remainder when 65 is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -66 - -42?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-34)\/(12818\/(-87))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28104\/17 or -1653?\nAnswer: -28104\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2130765 and -127\/393372.\nAnswer: 25569180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5929.51 bigger than 2\/421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbrrtrtt. What is prob of sequence trrb?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from wvwaoayaa?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12369 by 3.\nAnswer: 4123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 + 54)*(16\/(-14) - -1 - 7831\/(-574)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p + 39. Let h(m) = -m - 1. Let b(y) = 5*h(y) - i(y). Let n be b(-6). Calculate the highest common divisor of n and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/(-22))\/((-23615)\/(-4723))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/3 (c) -1994 (d) 4\/9 (e) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/885 and 21\/6394.\nAnswer: 5658690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223861908 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -4)*-1 + 2. Suppose 0 = -5*z - 2*j + 3 + 22, 2*z - 3*j = -9. Factor -6*a + 4*a**2 - d*a**z + 11*a**3 + 0*a**3 - 4 - 2*a**5.\nAnswer: -2*(a - 2)*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 8:15 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -200*n**3 + 9*n**2 - 85*n + 9. Let a(x) = -x**3 + x**2 + 9*x + 1. Let z(v) = -36*a(v) + 4*l(v). What is the second derivative of z(u) wrt u?\nAnswer: -4584*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*i = -0 - 10, i = b + 10. Let d(f) = -f**3 + 4*f**2 - 9*f + 11. What is the hundreds digit of d(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.61104 centuries to decades.\nAnswer: 876.1104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 3, -2, -3, 292 in descending order.\nAnswer: 292, 4, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d + 60 = -8*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28511 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 124 = 4*x + f, 4*f = x - 48. Calculate the greatest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8684, -521, 5 in increasing order.\nAnswer: -8684, -521, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x + 4*x - 540 + 614. Determine t(-32).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -k - q + 6, 0 = k + 2*q + 13. Let h be ((-10)\/1)\/(-5) - k. Suppose -2*v = -5*z + 52, -5*v + 26 = 3*z - v. Solve -h*i + 5*i = z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 12*x + 62. Let m(a) = -4*a**3 + 11*a**2 + 4*a - 7. Let i(p) = -3*p**3 + 7*p**2 + 3*p - 5. Determine x*m(l) - 7*i(l).\nAnswer: l**3 + 6*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(12)*6)\/(5*sqrt(24)).\nAnswer: -9*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3136*g - 175626. What is s(56)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 2:14 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -647*j**4\/4 - 34*j**3\/3 + 7*j**2\/2 + 80. Find the third derivative of b(y) wrt y.\nAnswer: -3882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**5\/20 + l**4\/4 + l**3\/6 - l**2 + 40*l. Determine z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 8 + 5 - 223012*s**3.\nAnswer: -223012*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -71, -109, -183, -305?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/16)\/v)**(-4\/5) assuming v is positive.\nAnswer: v**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1526206 centimeters in micrometers?\nAnswer: 1526.206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64.093 - 64. Let j = h + -23.093. Let v = j + 22.962. Round v to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0835189001 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -883376 or -883370?\nAnswer: -883376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 5*h**2 - 4*h - 6. Let t be i(-5). Let u = 19 - t. Suppose -2*f = -u*f + 96. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58*35\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 158363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10420481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/90 and -55\/1896?\nAnswer: 28440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, v: 3, k: 3, b: 3}. Give prob of picking 2 z and 1 b.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.51 + 1.01. What is the smallest value in -0.1, 1\/4, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*z = -9 - 1, 0 = r - 4*z - 4. Let n(v) = v**2 + 6*v + 2. Calculate n(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 187\/187*1*-5. What is the third smallest value in -10, -2, c, 2\/45, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -61696*w**2 - 64932.\nAnswer: -123392*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 minus 21640977388797?\nAnswer: -21640977388797.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 0 - 6 + (-1 - 3 + 3)*(-2 + 0 + 0))*(1 - 1 - r).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 130*h**3 - 6*h**2 - 17*h + 4. Let z be i(-6). What is z rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64141 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1+2250188849\nAnswer: 2250188850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 106742429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*12\/420*-4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 34101746755642.\nAnswer: 34101746755642.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -3*k**6\/10 + k**5\/10 + 11*k**4 - 1507*k**2\/2 + 55*k - 1. Differentiate w(u) wrt u.\nAnswer: -36*u**3 + 6*u**2 + 264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*w**4 - 3*w**3 - 13*w**2 - 163*w - 392 wrt w?\nAnswer: -1392*w**2 - 18*w - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in -0.3, 5, 1\/6, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - j**3 - 4 - 553*j**2 + 552*j**2 - 5 to m*j**2 + z + v*j + r*j**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*c**2 - 11 + 118*c**2 + 24 to the form x*c + t*c**2 + v and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 11. Let c(u) = -u + 24. Let q be 2*2 + 1 - (-30 - -27). Calculate the remainder when c(q) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cfyszdc. Give prob of sequence fsc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 136. Let l = f - -109.0014. Round l to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 214 and (-3)\/(-10) + (-3705)\/(-650).\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 949513, 949574, 949635?\nAnswer: 949696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*o + 3. Suppose 5*t + o*u + 12 = 0, 13 = -3*t - 0*t + 4*u. Suppose -20*n + 19*n = 0. Put t, -5, n in increasing order.\nAnswer: -5, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-6.4247\nAnswer: -6.2247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 65124614 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 4*t**3 + 23*t**4 + 1 - 2*t**2 - 25*t**4 - 4*t**3 in the form k*t + h*t**3 + b + l*t**4 + y*t**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/(-7))\/(21\/196). Suppose -4*s = 24 - k. What is the highest common factor of s and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - (4 + -3))\/(2 - 1). Suppose 0 = y*p - 9*p + 572. What is the highest common factor of 22 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*n = 1 + 1, 0 = -d - 4*n + 2. Solve -4*f = -2*h + 10, d*h = -h - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(343) + -2)) + sqrt(7))**2 + ((sqrt(7) + 0 + sqrt(7) + sqrt(7))*-3)**2.\nAnswer: -20*sqrt(7) + 746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 8:01 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3510 and 1214163.\nAnswer: 157841190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 5*o**2 - 4*o + 4. Let u be n(4). Suppose -2 = 2*z - u*m + 6, 4*m = 3*z + 4. Factor 3*i**z - 12*i**3 + 0 + 4*i**2 + 8*i**2 + 0.\nAnswer: 3*i**2*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*q - 51 = 129, -6*x + 7*q - 30363 + 30059 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 12:06 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-7))\/(1692\/(-470)*10\/(-42))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(48))\/(sqrt(6) + sqrt(864)).\nAnswer: -12*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 12:52 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 22 - 19 - 14*x**2.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -23, -2, -3, 17, 6 in ascending order.\nAnswer: -23, -5, -3, -2, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = m + 3*i + 57, 5 = 5*i. Put m, 4, 150 in ascending order.\nAnswer: m, 4, 150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -3\/2*w**2 - 1\/2*w**6 + 2 + 0*w**4 + 0*w + 0*w**3 + 0*w**5. Find the second derivative of y(n) wrt n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*l - 8*l + 515, 5*q = 4*l + 560. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**3\/3 - 1. Suppose o + 10 = -o, i + 5*o = -21. Let f(p) = i*p - 5*p - p. What is f(x(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Suppose 30 = 3*z + 2*z. Suppose 2*m - z = -2. Let w(l) = 6 + 2*l**2 - 8 + m. What is w(q(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*u = -1162, -b + 3*u = 8*u - 313. Is b a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4118287\/10080 - -13085\/32. Calculate the common denominator of 17\/455 and o.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170847726 is divided by 70?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1502?\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(-8)\/3*6046415\/360980?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47 and 1017.86.\nAnswer: -47839.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6294 + 9294 = -1392*g + 23880 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 7. Let t be (-72)\/(-396)*1*11 - -1. Sort -5, z, t in ascending order.\nAnswer: -5, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/9 (b) -0.4 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - d**2 - d + 3. Suppose 14*o - 15*o - 16*o + 34 = 0. What is b(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -3.4656614964?\nAnswer: 5.4656614964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 1457 - 1209. What is the highest common divisor of q and 434?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 5*m - 5*m + 9*m - 91*m + 10*m + 1 - 1 + 2*m + (1 - 3 + 0)*(4*m - 3*m + m) - 2*m - m + m to h*m + s and give h.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2257630 rounded to the nearest ten thousand?\nAnswer: 2260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 7 + (1 + -9 - -8) + 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - -2) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -148, -239, -330?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 3*s + s)*(16*s + 26*s + 8*s)*((2*s - 1 + 1)*(-1 - 2*s + 1) - s**2 - 3*s**2 + 3*s**2).\nAnswer: 500*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 29153*w**2. Let m(b) = 26*b**2. Determine x(m(k)).\nAnswer: 19707428*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -13*l**3\/6 - 25*l**2 - l - 797. Calculate j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124 + -25. Suppose 20*g - 25*g - 1400 = -19*g. Is g less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*m**2 + 16*m + 1114 with respect to m.\nAnswer: -12*m + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q**2 - 2. Let u = -5 + 3. Let r(d) = 190*d**2 + 55. What is u*r(p) - 55*w(p)?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11\/2 - 5. Suppose 5*v + 4 = 29. Let l = -3 + v. Which is the closest to m? (a) -3\/4 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9310100 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 82.01395 years?\nAnswer: 0.08201395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 + 65*m**4 + 110*m**4)*(3 - 1 - 3)*(1 - 1 + 2).\nAnswer: -346*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-2)\/(1\/(2\/12)). Suppose -2*p = 5*a - a - 2, 4*a = -3*p - u. Let o(w) = -w**2 - w + 1. Calculate o(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 - -181. Let v = -92.99999796 + c. Round v to 7 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**5\/10 + 11*x**4\/12 + x**3\/6 + 33*x**2\/2 + 4*x + 19. Let t be s(6). Let g = 4 - 2. Solve -g*h - 2 = -t*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 1*75*-1. Let m = 126 + w. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 4:31 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**4 + 28*p**3 - 25*p**3 - 3*p**4 - p**2 + 2 + 14*p**3 to l*p**3 + k*p + w*p**4 + s*p**2 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1604 - -1607. Solve 6*i + v = 8*i + 3, -l*i + 1 = 4*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:08 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a + -12?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2. Let v(g) = g. Give h(b) - 3*v(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3290 and 26555?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -85327, -170517, -255731, -340981, -426279, -511637, -597067?\n\"Answer: -2*o**3 - 85176*o - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - t + 1. Let f(v) = -24*v**2 - 40*v + 24. What is -f(m) + 24*k(m)?\nAnswer: 72*m**2 + 16*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1 (c) -252\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4 + 124*q**3 - 410*q**2 - 1300*q = 0.\nAnswer: -65, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -307*i + 4337. Calculate z(14).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002030 + -31103?\nAnswer: -1033133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**5\/3 + 470*x**4\/3 - 20756*x**3\/3 + 211340*x**2\/3 + 1331158*x\/3 - 1522210\/3 = 0?\nAnswer: -5, 1, 29, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-84)\/(-21))*-1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 9*n - 7. Let p be r(10). Suppose 5*o = -2*l + 393, 0 = p*l - 2*o + 3*o - 557. What are the prime factors of ((-5)\/(-20))\/(2\/l)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -403 - -404. Which is the fourth biggest value? (a) 5 (b) -2 (c) m (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 646*m - 2054. Is v(17) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7581, -15161, -22727, -30273, -37793, -45281?\n\"Answer: w**3 + w**2 - 7590*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1308*z - 1098*z + 3369*z.\nAnswer: 3579*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - l = -87, 5*g - 2*l = g + 106. Let h = -23 + g. Determine k so that -4*k**4 - 3*k**5 - k**5 + 0*k**h - 20*k**3 - 12*k**2 + 8*k**5 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 5*v + 1. Determine g(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**5\/9 - 422*t**4\/9 - 140504*t**3\/3 - 3768928*t**2\/9 - 10029440*t\/9 - 742400 = 0.\nAnswer: -360, -4, -1, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 - 2*c**2 - 22*c + 2. Let f(o) = 8*o**3 - 9*o**2 - 87*o + 9. What is 2*f(s) - 9*l(s)?\nAnswer: -2*s**3 + 24*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.26675 in -2\/17, 5, 0.5, -4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*k**3 + 36*k**3 + 2*k**4 + 58*k**2 - k**4)*(0*k + 2*k + 0*k)*(2 - 3 + 0).\nAnswer: -2*k**5 + 4*k**4 - 116*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7220876, 7220868, 7220860, 7220852, 7220844, 7220836?\n\"Answer: -8*d + 7220884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + v - 24. Let k be a(0). What is the units digit of (-18)\/k + (-42)\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(133)\/((-1*sqrt(14) - sqrt(14))\/sqrt(2))*4)*-1 + 3.\nAnswer: -1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2172\/2715*700\/64?\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28.5 - -28. Let z = 0.24 + -0.44. Put -0.01, 0.3, a, z in ascending order.\nAnswer: a, z, -0.01, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 - (4 + 2 + 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*(-9)\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 17*w**2 + 29*w + 19. Determine v(15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + (-10)\/(-4))*2. Let p = -8 - -12. Solve 22*y**l - p*y + 60*y**4 - 24*y**2 - 50*y**5 - 3*y - y = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 15201*z - 15194. Give i(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 9:21 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 1245*u**3 + u**2 - 4*u - 8. Let k(c) = -1245*c**3 - 2*c**2 + 4*c + 12. Determine 2*k(q) + 3*r(q).\nAnswer: 1245*q**3 - q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 11:34 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 822*g + 661*g - 1479*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 3*q + 1. Let n be h(-4). Suppose 28 + 17 = n*y. Calculate the remainder when y is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuaaaavuuuuau. What is prob of sequence uuv?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = o + 26. Let a(g) = 2*g + 34. Let s be a(o). What is the tens digit of -2 + 26 - s\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 644253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-504)\/196)\/6)\/((-3)\/(-21)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/13456 and -143\/324.\nAnswer: 1089936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from {n: 2, g: 4, l: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 10) + -2 + 1 + -2 + 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -1 - 21\/23) + 20424\/1115661.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*30\/165*11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2115 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72278364 is divided by 10598.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = v. Let t be 137\/v - (-1)\/2. Suppose 3*l = -0*l + t. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9870\/564)\/((-7)\/12)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 30 = -i. Let z(v) = -54*v + 1. Calculate the remainder when z(-1) is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.20871225 * 1\nAnswer: -1.20871225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 206487693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 + 9*g - 5. Let q(t) = -4*t**2 - 10*t + 6. Suppose 0 = 3*o - 8 - 13. Let c(u) = o*l(u) + 6*q(u). Let s be c(-2). Solve 3*k + s = -1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00030233899 to 6 dps.\nAnswer: 0.000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19\/4 of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225 + -223. Suppose -10*n = -u*t - 8*n + 914, n = 2*t - 917. What are the prime factors of t?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 6*i = 443618. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162936815.\nAnswer: 3, 5, 4789, 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979 is divided by 45?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1098 and -93\/107482.\nAnswer: 967338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*r + 782 + 1383 + 2635. Let f = 0 - -9. What is the smallest common multiple of f and r?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 3*b + 3. Let y be g(-4). Suppose -y*i - 95 = -32. Let l(o) = o**2 + 3*o - 16. What is the tens digit of l(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(1008) + -2*sqrt(448) + (1*sqrt(448)*-2)**2).\nAnswer: -20*sqrt(7) + 8960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123566, 247137, 370708, 494279, 617850, 741421?\nAnswer: 864992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287237 is divided by 294?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*n - 16 = 0, -5*n = -6 - 4. Let f(u) = -u**3 + 7*u**2 - 6*u + 6. Let k be f(6). Solve 0 = w*m + k - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*d - 570 = 2*x, 0 = -4*x + 5*d - 1088. Let u = x - -275. Which is smaller: 1\/2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 9820a3?\nAnswer: 9820a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 1. Let k = 2129 - 2125. What is c(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1161625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-3)\/(-3)) - 69. Suppose -2*w - 3*w + 100 = 0. What is the remainder when w is divided by (k\/4)\/(-5)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 14*h - 382. Let s = 40 - h. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, u: 8}. Give prob of picking 2 g and 2 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 10689 in descending order.\nAnswer: 10689, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {s: 2, g: 2, o: 7}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a + 43*a = -105 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**4\/9 + 1412*r**3\/9 - 140890*r**2\/9 - 3569984*r\/9 - 1142560\/3 = 0.\nAnswer: -20, -1, 148, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 - 2*d - 2. Give o(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 9384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (-2 - -4))\/(-5). Solve -2*r = q + 12, 0 = -2*q + 5*r + 12 - h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.4158 + 3.4179. Let f = -7 - b. What is f rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 11, 20?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-13)\/13)\/(2\/6). Let w be z\/(-78)*(-12)\/(-3). Which is the closest to 0? (a) w (b) -0.3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen sevenths of a week in hours?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100938.2*-44\nAnswer: 4441280.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*v - 64*v - 703*v.\nAnswer: -730*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-749*s + 1476*s - 735*s + 60)*(7*s - 2*s**3 - 7*s) to w*s + c + f*s**3 + g*s**2 + y*s**4 and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.232 (b) 0.1 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -23 - 5*j + 0*j**2 - 1\/3*j**4 + 0*j**3. Let i(b) be the first derivative of r(b). Let l(w) = -13*w**2. Determine i(l(m)).\nAnswer: -676*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -141551, -140983, -140403, -139805, -139183, -138531, -137843, -137113?\n\"Answer: i**3 + 561*i - 142113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 82128845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9337 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/9*3)\/1. Let x(t) = -390*t**2 - t - 1. Let u be x(k). Let y = u + 657. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1696993*-18\nAnswer: -30545874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28145*j**3 - 27761*j**3 + 55430*j**3.\nAnswer: -476*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 172049, 344100, 516151?\n\"Answer: 172051*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 183 = -5*l, 4*z - 5*z - 5*l = -27. Calculate the least common multiple of z and 49.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2 (c) -8 (d) -513\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + 17 + -19 - -24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -49, -83, -131, -187, -245?\n\"Answer: x**3 - 13*x**2 - 2*x - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*438\/(-219)*(-1)\/(3\/2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + 27\/((-27)\/(-5)). Which is the nearest to 0? (a) -2 (b) 3 (c) 0 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/15 + (2044\/10 - 3). Let s = y - 40. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-48))\/(r*r**(3\/5))*r**(-4\/9)*r**(5\/13) assuming r is positive.\nAnswer: r**(27694\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.816285 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwkbwkemmmbwewbkbwe. What is prob of picking 1 e, 1 m, and 1 w?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15)\/(h\/(h\/h**(6\/13))))\/(h**(-7\/3)*h**16) assuming h is positive.\nAnswer: h**(-1136\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, -22, -131, -308, -553, -866, -1247?\nAnswer: -1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -720 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 0. Let p be 136\/(-36) + 4 + 7\/(-252)*44. Let u = 1 + -6. Sort y, p, u in decreasing order.\nAnswer: p, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7487 divided by -37.\nAnswer: -7487\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67\/200 - -223\/600. Find the common denominator of a and 3\/40.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 24. Let n(p) = 2*p - 23. Let k(u) = 4*d(u) + 5*n(u). Let z be k(3). Solve 21 = -2*s + z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -54. What are the prime factors of 3 + 8 + l + -2 + 45?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 14951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5794 + -5795. Sort 1, 5, -2, u, 4 in decreasing order.\nAnswer: 5, 4, 1, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 3. Let y(c) = c**2 - 4*c - 11. Let v be y(-3). Solve r*a - 5*a = v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 210*v - 213. Let j be f(71). Let w = -0.05 + 0. Let i = 4.05 + w. What is the third smallest value in 1\/7, j, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-16))\/((l**(-1)\/l)\/l))\/(l*l\/(l\/(((l*l\/(l*l*l**12*l))\/l)\/l)))**(-8\/5))**(-35) assuming l is positive.\nAnswer: l**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 136*p - 4 = -140*p, 2*x - 4*p + 8 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c**2 + 2*c**2 - c**2)*(109 - 818*c**2 + 1466*c**2 - 656*c**2) in the form g*c + k*c**3 + p*c**4 + z + q*c**2 and give q.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 0*f - f + 11*f. Let p be a(8). What is the greatest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((-165)\/(-66)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k**26*k)\/(((k\/k**(6\/5))\/k)\/k*k)**(-23) assuming k is positive.\nAnswer: k**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27111033 is divided by 286?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19964876?\nAnswer: 2, 29, 109, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-10)\/2)\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17867571 and 40587.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1289*r - 29305 = -89888 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9325\/(12\/(-108)*-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 32226?\nAnswer: 4\/16113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59532 by 59532.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -129 - -130. Let l be (-2)\/7 + 4380\/(-350). Let b = l + 574\/45. Which is bigger: g or b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = c - 3*g, 191*c - 187*c - 38 = 6*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36916+0.2\nAnswer: 36916.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 259\/(-148) - (-374)\/8 and 279.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g + 6. Does 23 divide o(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -350 - -8487?\nAnswer: 8137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h + 0*h + h**3 - 5 - 5*h**2 + 0*h**3. Suppose 124 = -2*j + 33*j. Determine z(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 6*t - 9. Suppose -v = 4*l + 17, -2*l - l - 27 = -4*v. Calculate the highest common divisor of t and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 7*l - 1. Let f(m) = -1371*m**2 - 985*m - 1. Let s(n) = f(n) - j(n). Find the second derivative of s(x) wrt x.\nAnswer: -2746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-80)\/(-24))\/(1\/51). Calculate the highest common divisor of v and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2. Suppose -6*a + 573 = 27. Let o(l) = 46*l**2 + 66*l**2 - a*l**2. Determine o(f(p)).\nAnswer: 21*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*n + 184*n + 55 = -i, n = -i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2023\/9 - 225. Let n = d + 31\/99. What is the third biggest value in n, 1\/5, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**2 - 862*s**3 - 849*s + 3*s**2 + 414*s**3 + 449*s**3 as k*s + n*s**3 + m + l*s**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 1241*d - 15009. Calculate u(-12).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 - 2*k**2 - 116 + 313*k**3 + 548*k**3 + 114.\nAnswer: 861*k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (220 - 224) + -5*1\/((-10)\/26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Let p = -5 - -7. Let f = 3551 - 3542. Let c(o) = 8*o - p*o - f*o - 6*o. Give z(c(h)).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1875 and 3000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-132)\/165*(-2)\/(-4)*-5. Suppose -t + 16 = -5*z + 54, -5*t + 2 = -z. Let y(r) = 15*r**u - 5*r**2 - 7*r**2 - z*r**2. Let a(j) = -3*j. Calculate a(y(v)).\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a meter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5720*r**3 + 9*r + 4382*r**3 - 3*r - 6*r.\nAnswer: -1338*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 2*a**2 + 2*a + 685. What are the prime factors of d(0)?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 68 + (5 - (-2 - -5)). Let p be (6\/5)\/(21\/u). Let b(d) = -p*d - 2*d + 10*d. Let j(m) = 2*m. Determine j(b(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/416 and 59\/378836?\nAnswer: 39398944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5459392397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6284\/(-103686))\/(1\/21)\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((((-1)\/(-90))\/(-1))\/(1714\/4285))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -146*g**2 - 265*g + 52. Give l(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2. Let k(d) = -3. Let v(f) = -11*f + 6. Let j be -2*(9\/(-6))\/3. Let s(l) = j*k(l) + v(l). Give s(x(c)).\nAnswer: -22*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.15 (c) -216\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.299, -0.4, -1\/194 in increasing order.\nAnswer: -0.4, -0.299, -1\/194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 14. Let n be z(-8). Suppose -2*f = -n*f + 76. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 28. Does 18 divide -4 + (123 - (i + -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32053 is divided by 1668?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1524 + -1441. Are 83 and v nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 215 (b) -282958 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -8 + (-2 - -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 65 + 1\/3*r**4 - 1\/6*r**3 + 2*r + 1\/20*r**5 - 3\/2*r**2. Determine s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - 1) + (-1734 - -1698) + (0 - -14) + 34.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1363 - 363 = -9*z - 185*z - 164 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/9 (b) 2\/9 (c) 3 (d) 7 (e) -17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51, 54, 57, 60, 63, 66?\n\"Answer: 3*f + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/39, -2, -2\/3, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = -6*p + 4*p, -2*p + 4*y = 0. Suppose -3*o + p*o = -5*r - 16, -r = 3*o. Let w be 2 - o*(4 - 2). Which is bigger: w or -3\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111110000102100 (base 3) to base 15.\nAnswer: 962190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 13*s + 7. Let c be 6675\/525 + (1 - 5\/7). Suppose 12*w = 9*w + 12. Calculate the remainder when a(c) is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27424773?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbq when three letters picked without replacement from vvvbqbqb.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -9*y**5\/20 - 7*y**4\/4 - y**3 - 11*y. Solve b(n) = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) + -1 + sqrt(1728))**2*-2 + ((sqrt(54)\/sqrt(3) + sqrt(18))*2)\/((sqrt(12)*2)\/sqrt(2)).\nAnswer: -13826 + 194*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(35\/(-10)) + -290*(-52)\/(-7930)?\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 + -3. Let p = -55.34 - -55.18. Which is the closest to h? (a) 0 (b) -2\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 156 and 121908.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((15 - 10)\/(-10))\/(1\/(-50)). Solve -3*x - a + 10 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -9. Let l(s) = -s**2 - 6. Let m(p) = p**2 + 5. Let o(h) = i*m(h) - 5*l(h). Let z(a) = 2*a**2. Calculate z(o(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15435\/(-6860))\/((-2)\/16*24\/44)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -16 (c) -3 (d) 320786 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5}. What is prob of picking 4 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 8*w**2 + 8*w + 4. Suppose -6 = z - 2*o, 5*z - 6 = -5*o - 51. Let k(q) = q**3 + 3*q**2 - 3*q - 1. What is z*k(c) - 3*v(c)?\nAnswer: -2*c**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-369304 + 369304 + 51952*l + (-5 + 1 + 2)*(-3*l - 2*l + 3*l))*(-4 + 1 + 4) as y + a*l and give a.\nAnswer: 51956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-30)\/(-7) - -2) + (-192)\/672. Let a(p) = -p**3 + 2*p**2 + 14*p - 2. Determine a(h).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 3*x - 604. What is o(-26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*w - 186*w = -388*w + 84 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9629 or 10076?\nAnswer: 10076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 56*j - 23 - 188*j + 59*j + 69*j. Determine a(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.6 (b) 6 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 3*g - 3, 0*k + 23 = k - 5*g for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -8*l**2 - 1. Let z(x) = 23*x**2 + 3. Determine -17*c(q) - 6*z(q).\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q. Let b(f) = 5. Let l(x) = x - 1. Let o(c) = 4*b(c) + 20*l(c). Determine o(y(m)).\nAnswer: 40*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-1)*l*l)*l*l*l*l**5*l*(l**(-1))**22*(l**(-1)\/l)**49*l**(-3\/4)*l*l*(l\/(l\/l**(-1\/4)))\/l assuming l is positive.\nAnswer: l**(-111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -14. Let a be (3\/6)\/((-1)\/2). Let f = 4 + a. What is the lowest common multiple of f and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 1117611163?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74188152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = -6664 - 14217. What are the prime factors of z?\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*o = 1032005 + 836558. What is the greatest common divisor of o and 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*h**2 - 7*h**3 - 462*h**2.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13455 and 1053?\nAnswer: 121095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 731*n**2 + 92831*n - 2. Let o(g) = -g**2. Determine t(o(b)).\nAnswer: 731*b**4 - 92831*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3 - 1677*b**2 - 196200*b + 11070000 = 0. What is b?\nAnswer: -300, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29907607*w**3*x**2 - 2*w**2*x**2 + 19*w**2 - 566*w*x**2 + x**2 + 1 wrt w?\nAnswer: -179445642*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2325\/1395*((-146)\/(-20) + (-1)\/(-2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1142.2 - 1143.2. Which is smaller: 4340 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/9 - (-1 - (-272)\/396)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a + 19. What is j(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) + 33\/105. Which is the closest to -0.3? (a) 2 (b) s (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72700411 (base 8) to base 15.\nAnswer: 154d07d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -161*j + 3*j**3 - 21*j**2 - 3*j**2 - 48 + 221*j.\nAnswer: 3*(j - 4)*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/(-2 - 10\/(-4)). Let y = -34 + u. What is the least common multiple of y\/((-5)\/5 - 1) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5087 + -10169\/2. Let x(y) be the first derivative of 0*y + i*y**2 + 1. Let k(m) = 4*m**2. Calculate k(x(s)).\nAnswer: 100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - ((1 - -12) + -1 + 8 + -8).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + 3*d**4 - 4*d**4)*(-1830*d - 216*d - 1806*d).\nAnswer: -3852*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2. Let m(a) = -349584934*a. Calculate m(o(r)).\nAnswer: 349584934*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3679, -29021, -97805, -231751, -452579, -782009, -1241761?\nAnswer: -1853555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35028 divided by -5?\nAnswer: -35028\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**2 - 84178*x - 84176 = 0.\nAnswer: -42088, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 72*z**2 + 736*z + 52991. What is y(-72)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2 + 711764720*r - 25330450831833920 = 0 for r.\nAnswer: 71176472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -25. Let d = 10.14 - -0.36. Let g = d + h. Which is the third smallest value? (a) g (b) -0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10376419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 633*r**2*w**3 + 20*r*w**3 - 41*w**3 wrt r?\nAnswer: 1266*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111202002011 (base 3) in base 8?\nAnswer: -3036246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -10. Let p be 1\/((-30)\/45*15\/8). Which is the closest to g? (a) -2\/7 (b) p (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 8118 (c) -3\/7 (d) 4 (e) 39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + t**2 - 7*t + 49. Calculate n(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 3*d + 2 = m, 4*m - 20 = -d. Calculate the highest common divisor of 54 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -998*k. Let j(l) = l. Determine v(j(d)).\nAnswer: -998*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/(-1083)*(-2660)\/7000\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57444462, 114888926, 172333392, 229777860, 287222330?\n\"Answer: q**2 + 57444461*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 380, 1354, 2920, 5078, 7828, 11170, 15104?\n\"Answer: 296*o**2 + 86*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 2)*(131*v - 148*v - 152*v) as a + h*v and give h.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) -3 (c) -7 (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21122133 - 102203?\nAnswer: -21231002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1029? (a) -1069 (b) 14 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3311110 - 0.03.\nAnswer: 3311109.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(2 + (-25)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 324 - 88. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1223\/11 - 111. Is d less than -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12669 is divided by 507.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + -6. Let f = m + 80. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 25 = 3*z + 5*c, 3*c = 6. Suppose 0 = 3*h + a - 8 - 8, -2*a = z*h - 17. Calculate the remainder when 8 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3016260 and 5148.\nAnswer: 33178860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 11*k - 16. Let a(c) = -c. Let p(b) = -22*a(b) + 2*g(b). Solve p(f) = 0 for f.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.09 (b) 317 (c) -0.74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 31. Let f(y) = -y**3 + 9*y**2 - 7*y - 2. Let s be f(8). Calculate the greatest common divisor of n and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 47178*a**2 + 89112.\nAnswer: 94356*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + p**2 - p - 2. Let v(d) = -199*d**4 + d**3 - d**2 + d - 188. Let j(o) = q(o) + v(o). What is the derivative of j(c) wrt c?\nAnswer: -796*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4344 - 1.4344. What is the second smallest value in 2, p, 0.2, 1, -14\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2310332 (base 4) to base 16.\nAnswer: -2d3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2140536?\nAnswer: -5\/2140536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 146272 - -412.48.\nAnswer: 146684.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 23413070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1411 is divided by 201.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176119889*l**3 + 305956228*l wrt l.\nAnswer: -1056719334*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34682 - -18 - (-1 + 1). Suppose 0 = -3*w + i + 118864. Suppose 0*x + 3*s = 4*x + w, 5*s = -2*x - 25620. Round x to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/48356 and 55\/1256.\nAnswer: 96712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*-1)**2 - (sqrt(13) - (sqrt(1872)*-5)**2).\nAnswer: -sqrt(13) + 47853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 15512 - 15500 = 4*x - 9*a + 3*a, -4*x - 24 = 5*a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11743 divided by -3\nAnswer: 11743\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -251.904 + 252. Round s to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 11*f - 93 + 82 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39933 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a tonne in kilograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 5 = 10*h - 3*d, -2*d = h - 5. Sort 4, h, -1, -5, -4 in descending order.\nAnswer: 4, h, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 156778, 156822, 156866, 156910?\n\"Answer: 44*h + 156734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000387064619 rounded to six decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*k + 2*k + 23 = 0, -2*k + 2 = 2*l. Suppose -6 = 3*o, 2*o - 72 = -5*b + 3*o. Let i = b + -7. Is l at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/32)\/x**(-2) assuming x is positive.\nAnswer: x**(65\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5 = -0. Is 12 a factor of 25 + 0 + y + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 10 = 9074*s - 9079*s, 6*k = -4*s - 70 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 0*y - 2*y - 9, 2*l - y = 6. Let z be (2\/4)\/(l\/(-2)). Let g = -4 - z. Which is bigger: g or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-2))\/(-1)*-1. Let o(f) = -3*f + 57. Let i be o(5). Suppose -21*q + i = -42. Solve h = 3*s - q + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 96*t**3 + 33*t**2 - 33*t - 33. Let a(c) = -6*c**3 - 2*c**2 + 2*c + 2. What is -33*a(u) - 2*o(u)?\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**2\/4 + 125*l\/2 = 0.\nAnswer: -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/26 and 2\/10 + (13 - 43\/(-10)).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x + 3*x - 4*x. Let l(b) = b + 4. Let u(f) = f + 5. Let k(s) = 4*l(s) - 3*u(s). Let a(v) = 23*v - 210. Let d be a(9). Give d*c(h) + k(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3389174, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 254969.33 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5\/(-2))*(-28)\/(-1127)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*u**2 + 36 + 71*u**2 - 73 + 37.\nAnswer: 257*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -9. Let a = s + -3.1. What is the second biggest value in -3, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 12*c**3 + c**3 - 9*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-60)\/80)\/(2\/(-4)). Let c(b) be the second derivative of 2*b + 7\/12*b**4 - 1\/20*b**5 - 2\/3*b**3 + 0 - g*b**2. Calculate c(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63869403?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29015374 and 2714.\nAnswer: 2714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 777602 and 246694?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 774108724 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49348?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18512847967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q**2 - 2*q + 6. Suppose -3*v = -4*o - 13, -5*o - 35 = -30. Let g(i) = -7*i**2 - 2*i + 5. Let h(m) = v*g(m) - 2*r(m). Calculate h(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 2*r = 11*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*k = -14, -3*d + 6 = 4*k - 8. Suppose d*m + 4*c - 20 = 0, 4*m = -0*c + 2*c + 50. Suppose -m = -f - 3*f. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378848?\nAnswer: 2, 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 358178.803 rounded to the nearest 10?\nAnswer: 358180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k. Let g(l) be the third derivative of -l**5\/30 - 2*l**2. Determine s(g(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10) - ((sqrt(30)\/sqrt(3) - sqrt(10) - sqrt(10)) + sqrt(10))*6) + -2.\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(-5)\/(-30)*(-9)\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37.906 + -0.094. Let i = 39 + r. Which is the closest to i? (a) 3 (b) -2\/11 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14053 and 1495?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:27 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.6 + -12.58. Let w = l + 2. Let o = 3.52 - w. What is o rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from ffsffffpspff.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 minutes after 5:34 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 7*p**2 + 6*p - 2. Suppose 5*w + 45 = 10*w. Let m = w + 11. Suppose -2 = -3*z - m. Give q(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/(-48))\/(1\/4). Let i be 5\/(5\/(-2))*-1. Find the second derivative of 0*j**5 + u*j**5 + i*j**5 + 0*j + j wrt j.\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 8:32 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(28\/12*2).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 102 = 45*n. Suppose -3*a = -5 - 10. Suppose n*b - 3*q - 65 = 87, 83 = b - a*q. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -6. Suppose 5*z - d*z - 32 = -2*w, 67 = 4*z + w. Suppose -x - 4*x - 15 = 0, -5*a - 4*x = -753. What is the highest common factor of z and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.012, 7061, 0.06, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4633*c**3 - 3*c**2 + 1899*c + 3. Let n(r) = -r**3 + r**2 + 2*r - 1. Let p(g) = 2*m(g) + 6*n(g). What is the second derivative of p(j) wrt j?\nAnswer: 55560*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 3*u + 440, 445 = 3*m + 2*m + 2*u. Let t(y) = 11*y + 13. Let k be t(-7). Let g = k + m. Calculate the highest common divisor of g and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one twentieth of a millimeter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 105956 and -2.\nAnswer: 105954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*(8 - 7)\/2. Solve -103 = p*j - 96 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 990 and 6456.\nAnswer: 1065240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = 212 + 208. Let h(s) = 54 + l*s - 22*s - 18*s. Let t be h(-24). Solve q = -1 + t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -6*s**3\/5 + 11016*s**2\/5 + 4410*s + 11028\/5 = 0.\nAnswer: -1, 1838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**3 - 2*n**2 + 12. Let r be c(0). Sort 2, -14, r in ascending order.\nAnswer: -14, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 2659?\nAnswer: 7\/2659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 748433 is divided by 97?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/10258 and 41\/12.\nAnswer: 61548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 19*g**2 - 45*g. What is the units digit of x(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14533455\/272 - -53432. Let l = 2\/17 - k. Is l less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 8*p + 7. Calculate h(-8).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1798335206.\nAnswer: 2, 647, 1389749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1\/3))**(-26\/5)*(i\/i**1)**(-30))**(-36) assuming i is positive.\nAnswer: i**(1248\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 192537951 to the power of 1\/3, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82*d**2*h**4 + 8*d**2*h**2 - 3*h**4 - 6*h**2 - 2 wrt h.\nAnswer: 1968*d**2*h - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -13*c**2 - 101*c + 53. Give f(-8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -1\/3, 1, -0.2, 4\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12222022011 (base 3) in base 15?\nAnswer: 24c94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 1. Let a(f) = 9*f**3 - 7*f**2 + 3. Let z(l) = a(l) + 3*q(l). What is the third derivative of z(p) wrt p?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -616*d**3 + 12*d**2 - 5*d + 6. Let b(x) = 1231*x**3 - 22*x**2 + 9*x - 11. Determine 6*b(h) + 11*m(h).\nAnswer: 610*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-416907)\/(-13568490) - (-2)\/(-65). Is -1 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 - 6*b**2 + 32 = 0. What is b?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -720 = -351*u + 333*u. Calculate the greatest common factor of u and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1242857\/74 + -16795. Find the common denominator of 238\/980 - 2\/(-5) and d.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:59 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39970106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**3 - 3*w**2 + 2. Let z be g(-2). Calculate the common denominator of -7\/4 and (-126)\/8*(-3)\/z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(119)\/(sqrt(14)\/sqrt(2)*5) - ((sqrt(2448) + 1 + sqrt(2448) - sqrt(2448)) + -2)))**2.\nAnswer: -1062*sqrt(17)\/5 + 532818\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 6*q - 2*q)*(-256 + 29 - 173).\nAnswer: -800*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + (sqrt(160)\/sqrt(4))\/sqrt(8)).\nAnswer: -2*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18) + (-1886)\/(-276).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a**2. Let p(y) = 8*y**2 - 1 - 21*y**2 - 28*y**2 + 1. Determine g(p(f)).\nAnswer: -10086*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c - 23. Let i be b(14). Suppose 18 = -i*z - 4*m, 0*z - 4*m + 18 = -z. Is 7 a factor of 63\/z*(-1)\/3*16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**3 - 8 + 7*x**3 + 2*x**4 - 15 - 2*x**2 + 3*x**3 + x**3 to the form o + w*x + p*x**4 + i*x**2 + k*x**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-1))\/(18\/6))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 5*z - 7 + 1 - 8 + 5.\nAnswer: 4*z - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.23651221409 - -1\nAnswer: 0.76348778591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/15*((-37)\/((-370)\/(-60)))\/4*-45?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15c968 (base 13) to base 5\nAnswer: -114321234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 q when three letters picked without replacement from {g: 2, q: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 - i - 3. Let l(v) = -7*v**2 + 2*v + 5. Let y = 39 + -34. What is y*z(b) + 3*l(b)?\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 511.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/6)\/(6\/9). Let x(u) = -3*u**3 + 2*u + p*u**3 - 2*u**2 + 0*u**2. Let m be x(2). Solve -m*k + 25 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*(-7)\/(-18) - (-20)\/(-1170)*13. Factor 0 + 0*f + 30*f**3 - 65\/2*f**2 + q*f**4.\nAnswer: 5*f**2*(f - 1)*(f + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1661342886?\nAnswer: 2, 3, 7, 31, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 1594824?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -15, -14, 3, 42, 109?\n\"Answer: h**3 - h**2 - 13*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (227370\/(-51675))\/((1*2)\/(2 - -13)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9828673 <= 2\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(4\/17)*213\/1. Suppose -3*j + y = -2079. What is j rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 167 + -166.999412. Round a to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 221, 441, 663, 887, 1113, 1341, 1571?\n\"Answer: h**2 + 217*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 18*v + 19 = 17*v, 0 = 5*f + 3*v - 28. Suppose -5*o = -f*d - 2200, 0 = 2*o - 4*o - d + 892. What are the prime factors of o?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011122621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 14*l + 15*l = -31. Solve -l*f = 90 - 28 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-8))\/((-21)\/56)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(8)*4 - sqrt(162)*4) + -2)**2.\nAnswer: 304*sqrt(2) + 11556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/9 and ((-40)\/(-6))\/(-5)*(-105)\/(-96).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 + -3 - 5) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*sqrt(2057) + -1 + 3) + (((3*sqrt(170))\/sqrt(10) + sqrt(204)\/sqrt(48))*-1)**2.\nAnswer: -132*sqrt(17) + 785\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, 5, -70, -18, -4, -5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) 3\/7 (b) 5 (c) 0.1 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -11. Let r = -7843 + 7841. Which is the closest to r? (a) -4 (b) 1\/3 (c) x (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -737.9 less than -1.2?\nAnswer: 736.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**2\/2 + 6. Let t(g) = -214*g. What is o(t(z))?\nAnswer: 214*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -18. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 - 152 + 6*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 - 5*y - 19. Give l(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-628)\/(-158) - 20\/5. Is 1 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 7:58 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -90. Let q = -98 - r. What is the nearest to -3 in q, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 1043879.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.61 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*t + 63 + 137 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9266 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5 - 48*u**4 - 234*u**3 + 620*u**2 - 336*u = 0. Calculate u.\nAnswer: -14, -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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 x = 246 - 245.3. What is the closest to -1\/2 in 2, -0.1, x, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 13.8. Let j = 0.8 - v. Let t = j - -1. Put t, 4, -5 in descending order.\nAnswer: 4, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a**2 - 7*a + 6. Is p(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 - 7*j**2. Is f(5) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14727049 by -4.\nAnswer: 14727049\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 9327.\nAnswer: -111924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/299 and 42\/8077577?\nAnswer: 105008501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 923465605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 2\/7, 1\/5, 1\/3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6526077 and 7908?\nAnswer: 1977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8. Solve 0 = p - 2 - d for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-2 + 3 + 0 + -9 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37.77 + 52.77. Sort x, -7, -1\/4.\nAnswer: -7, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6346*g + 5044*g + 1291*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 27 + 21. Suppose 3*v - 47 - n = 0. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*c - 44. Let r = -9 + c. Solve 0 = -n + 5*x - 7*x + r, -4*x = 5*n - 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2261.\nAnswer: 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2504119 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 24*p**2 - 17572*p + 438690. What is q(25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(153) - sqrt(153)) + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j**2 + 19*j**2 - 3*j**3 + 53*j**2.\nAnswer: -3*j**3 + 62*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21\/70 - (-11689)\/20 - 1\/(-4) is divided by 46.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1949718 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(76))**2*4.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17cd8 (base 15) to base 3\nAnswer: 10220211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2115 + -2079. Calculate the remainder when 52 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9882 + 9894. Let z be 0 - 2\/(-1 + -1). What is the second biggest value in -0.4, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5352599 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**2 + 16*z + 15 = 0. Calculate z.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n - 40. Let q be y(4). Let s = -6 + 8. Suppose q*z = 3*m - 133, 0 = z - s*z + 5. Calculate the remainder when m is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22168916 times 0.5\nAnswer: 11084458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 111\/12 - 6\/24. Suppose 6*d = o + 21. Is d*(-2)\/(6\/(-579)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 424*c**2 + 10*c + 0 + 0 - 431*c**2 - c**3. Let z be p(-5). Let h = z + 322. List the prime factors of h.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.399 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + (-15)\/27. Let j = -4.5362 + 4.62. Let z = -0.3162 - j. Sort 3, k, z in ascending order.\nAnswer: z, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 87 = -i. Let n = i - -37. Let x = n + 58. Solve -2*w + x = -3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60282528\/25 smaller than 2411302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 60. Suppose 3*l = -4*q + h - 1, 4*q = -4*l. Solve t - q*t - 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k - 19. Let b(i) = -8*i + 1. Let z(s) = -35*s + 5. Let g(f) = 15*b(f) - 3*z(f). Determine g(m(l)).\nAnswer: -45*l + 285","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*j + 36 = 0, 0 = -1161*i + 1164*i + j - 38. Solve -5*h + 16 = -2*l + l, 2*h + 3*l = -i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*s - 22 - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 1 + 0)*(-15*k + 125 - 125) + 3 - 2*k - 3 + 2*k - 4*k + 0*k)*(k + 2*k - k) as w*k**2 + u + y*k and give w.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j + 475 = 55 - 294 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b - 60615. Let v(t) = -3*t. Give k(v(s)).\nAnswer: 6*s - 60615","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3*(-4)\/8. Let t = -24\/7 + 117\/28. What is the closest to 1 in 0.4, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17735*p*y**3 - 10556*p*y**2 + y**3 + 1 wrt y?\nAnswer: 106410*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.240338 litres?\nAnswer: 2240.338","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -1.4*212.3\nAnswer: -297.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470) + sqrt(1470)*-1)\/(sqrt(216) + sqrt(216) + sqrt(216)*2)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2466)\/99 - ((-64)\/(-88))\/8.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2 + 0 - 4*x)*(50*x - 24*x + 26*x) + 13*x**2 + 2*x**2 - 2*x**2.\nAnswer: -91*x**2 + 104*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 54*u - 1572. Let o be w(-21). Put -4, 5, o, -31, -3 in descending order.\nAnswer: 5, o, -3, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8118)\/41)\/(-33))\/(-15).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40012 - 2?\nAnswer: 40010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 9*x - 4. Let a be g(-9). Let h(w) = w - 6. Let t(y) = 3 - 4 - 5 + 1. Let c(o) = -5*h(o) + 6*t(o). Let m(u) = -6*u. What is a*c(p) + 3*m(p)?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 12*o**2 - 26*o - 11. Calculate b(-5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2284253 - 1377253. Round a to the nearest ten thousand.\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*6\/(-60)*135\/18?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfk. Give prob of picking 2 f and 1 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -12256*q**3\/3 - 5148*q - 3071. Differentiate v(d) wrt d.\nAnswer: -24512*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/6)\/((-4)\/48). Suppose 56 - y = 5*h. Let x(t) = -t**2 - 5*t + 6. Calculate the remainder when h is divided by x(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**3\/8 - 255*r**2\/8 + 6237*r\/4 = 0.\nAnswer: 0, 66, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**3\/2 + 30*k - 15. Let f(m) = 221*m - 3. What is f(s(x))?\nAnswer: -663*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -17 - y**3 - 17*y - 18*y + 2 - 6 + y**2 - 20*y**2. What is t(-17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*g**3 - 251*g**3 - 253*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/45 of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.84 + -233.16. Let v = 235 + h. Let z be (-41)\/282 - 8\/(-48). Sort v, 0.4, z in increasing order.\nAnswer: v, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/6*18\/(-4). Suppose -4*n = -r*n + 8. Suppose n*o - 13 = 39. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 41 and 1279 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:35 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 7 = -3*m, 2*m - 4*k - 6 = -14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/6 + 24*a. Let k(d) = -2 + 15*d + 2. Determine k(m(u)).\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 22 = 4*p, -p - 10 = 5*z + 9. Let s = 61.4 - 61. Put s, z, 4 in descending order.\nAnswer: 4, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -75. Let i be (-16)\/(-6)*g\/4. Let j be (-24)\/i*(-15)\/2. Solve -3*a = -2*h + j, 3*a - a - 2*h = -6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 1 (c) 61 (d) 12.4 (e) -0.2 (f) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -255, -1912, -6465, -15378, -30115?\n\"Answer: -244*i**3 + 16*i**2 + 3*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 - 0.9. Let k = -5 + t. Which is smaller: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 10 + 22. Let s(g) = g**3 - 7*g**2 + 18*g - 70. Let o be s(6). Calculate the highest common divisor of b and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*d + d. Let c be (5*-2)\/(d - -4). Solve -4*m + 0*m - 8 = 4*k, -4*k - 9 = c*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**2\/7 + 14397*f\/7 + 173196\/7 = 0. Calculate f.\nAnswer: -12, 4811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.258669 + 1.2722. What is v rounded to four decimal places?\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bda (base 16) to base 13.\nAnswer: 14c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**3 + b**2 + 21*b - 16. Let m(p) = -5*p**3 - p**2 + p - 2. What is f(v) + m(v)?\nAnswer: -v**3 + 22*v - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 7.48, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3\/4 - 15334*n**2 - 235223533*n - 2820474732 = 0. What is n?\nAnswer: -30662, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-2)\/28 - (-51)\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 6*r + 14. Let g be v(-7). Calculate the remainder when 147 is divided by 41 + (0 - g) + 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1848492*n. Let x(s) = 791*s**2. What is x(i(p))?\nAnswer: 2702785835184624*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 11 - 15 - 63*v**2 + 20*v**2 + 42 - v as p*v + q*v**2 + k and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 + 1. What is the third biggest value in 2\/19, -1\/2, a, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 7 = w, 3*x + 6*x = 8*w + 4*x + 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 15 = 27. Suppose -l + 29 = 5*n, z*n + 2*l = l + 19. What is the third derivative of -25*i**n + 1898 - 1898 + 25*i**2 wrt i?\nAnswer: -1500*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3 (b) 5\/8 (c) -4\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**2\/4 + 68721*p - 4722575841 = 0.\nAnswer: 137442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 3*y - 1 = -6, 5 = y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p. Let d(z) = 24*z + 83302. Calculate j(d(x)).\nAnswer: 72*x + 249906","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = -5*x, -o + 3*o + 6 = 2*x. Is -38*(o - (-10)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11655081 is divided by 534?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*k + 4 - 53, -4*k = -4*c - 76. What is the remainder when k is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2148 and 40236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/201 and 73\/2.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13*k + 4. Let d(o) = 2. Give -b(x) + 4*d(x).\nAnswer: 13*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1893486135?\nAnswer: 3, 5, 19, 6643811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -6857, 0 in descending order.\nAnswer: 34, 0, -6857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114 - -213. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87087\/16 - 5443. Which is the closest to -2\/9? (a) -1 (b) 2 (c) 5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 3. Let a be i(6). Let o be 1 - a*5\/(-13). What is the biggest value in 5, o, 1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117202 (base 8) in base 15?\nAnswer: c053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -371466 (base 9) in base 15?\nAnswer: -4665c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 48733+-941.89\nAnswer: 47791.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1859 divided by -13.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15771970.\nAnswer: 2, 5, 43, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073486408?\nAnswer: 2, 134185801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 21. Calculate the remainder when h(7) is divided by (1\/(-2))\/(1\/(-24)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcdkaxd. What is prob of picking 1 a and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 10*c**2 + 11*c. Suppose 2 + 9 = -o. Let h be m(o). Suppose -4*a + 36 + 12 = h. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2662)*-2*4)\/(sqrt(2)*-1*3 + (sqrt(98)*1 - sqrt(98))).\nAnswer: -352*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 + -21*(-6)\/36. Suppose 0 = 4*k + c - 6, 6 + 8 = j*k - 3*c. Let o(b) = b**3 - 6*b**2 + 3*b. Give o(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3791974 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2196*z**2 + 993 - 993.\nAnswer: 2196*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**5\/27 + h**4\/108 + 2*h**3\/27 + 3*h**2. Factor w(v).\nAnswer: -2*(2*v - 1)*(5*v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 492\/258 - 5\/2*(6 - 286\/55).\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 808033 and 1268.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13\/((-91)\/(-18)))\/((-27)\/(-378)). What is the closest to g in 4, -52, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6.44, 2\/5, -1\/6, 2 in decreasing order.\nAnswer: 2, 2\/5, -1\/6, -3, -6.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/7 + 20243*r\/7 + 964.\nAnswer: -(r - 6748)*(3*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, 0, 6, -5, -2, -450.\nAnswer: -450, -5, -2, 0, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 15 + 5 = -5*r, 2*r + d = -4. Let o = 3 - r. Suppose 33 = 2*n + o*i, -3*n - 2*i + 37 = -0*i. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 141*c - 138*c + 15, -4*b + 36 = -4*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*c - 48, -c + 24 = -2*n - 16. Let m = 31 + n. Calculate the highest common divisor of m and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -13 - (-2)\/1. Let v(n) = 2*n**3 + 3*n**2 + 5*n. Let p(o) = 2*o**3 + 2*o**2 + 4*o. Let x be 3\/12 + 57\/12. What is x*p(b) + z*v(b)?\nAnswer: 2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5701341\/14 bigger than -407238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(495))\/(-2*sqrt(320) + sqrt(320) + sqrt(320) + sqrt(320))*6.\nAnswer: -27*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*c**3 - 186*c + 5*c**4 - 111*c**3 + 48*c**3 wrt c?\nAnswer: 60*c**2 - 198*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38235*-0.5.\nAnswer: -19117.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/21 of a week?\nAnswer: 57600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((3*(sqrt(28) - sqrt(2268)))\/(sqrt(40)\/sqrt(10)*-5 + sqrt(4) - sqrt(4) - sqrt(4)))**2)*-5.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i - 20*i = -27*i + 688 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 757*v - 971. Let t be m(2). Which is greater: t or 551?\nAnswer: 551","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, e: 15}. What is prob of sequence ede?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33109 - 15500. What are the prime factors of s?\nAnswer: 17609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -10783*c + 7. Let x(t) = 999224*t - 649. What is 649*n(d) + 7*x(d)?\nAnswer: -3599*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 936?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2268) - sqrt(224)\/sqrt(8)*-3)\/(sqrt(576)\/sqrt(4) - 3*sqrt(12)\/sqrt(3)).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -4, 0, 4.\nAnswer: -4, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 9 = 5*d, 7*w + 12 + 6 = -2*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3 + 3 + 0 + k. Let p be ((-5)\/2)\/(-2 + 10\/4). Let z be g(p). Which is greater: -2\/9 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - d - 19. Determine g(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eejjzelezjezjlj. What is prob of picking 2 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 85523258 - 20.2?\nAnswer: 85523237.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 1741584.\nAnswer: -8707920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 8.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 - -268\/7. Which is the nearest to d? (a) 1 (b) 0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 0*m**3 - m**3 + 3*m**4 - 5*m**4 + 2*m**3 - 7*m**2 to the form h*m**2 + i*m**4 + k*m**3 + g + t*m and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5289524 + -3.\nAnswer: 5289521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 117*i**6\/140 + 6*i**5\/5 + 17*i**4\/28 + 2*i**3\/21 - i**2 + 17. Solve a(k) = 0.\nAnswer: -1\/3, -2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -128952, -257875, -386798, -515721, -644644, -773567?\nAnswer: -902490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/48045173 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 831722 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/16, 10, -3, -4, 2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -397?\nAnswer: 5\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -153\/397, -0.1, -1, 5, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1797 - 0.2.\nAnswer: 1796.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from {o: 8, v: 2, t: 1, g: 1, a: 5, b: 3}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2596 + -1707. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -471*l**2. Let n(d) = -d. Determine h(n(u)).\nAnswer: -471*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 5145201 and 5145220 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 11 + 2*n)*(-11 + 11 + 14*n**3) + (-n**3 - 2*n**3 + n**3)*(-2*n - 19*n - 6*n) to x*n**4 + c*n**3 + s*n + o + j*n**2 and give x.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1\/6 (c) 155577\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1373, 1365, 1343, 1301, 1233?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-21501)\/(-3456) - (10 - 4) and 1\/1728.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 32*z - 22. Let g(h) = -21*h + 14. Give 8*g(r) + 5*o(r).\nAnswer: -8*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 + 290*o**2 - 6 + 1.\nAnswer: 290*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2985 divided by 558?\nAnswer: -995\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-4)*(i*i**(3\/7)*i)\/i*i)\/(i**(-11)*i**(-2\/5)*i))**(-8\/5))**(-6) assuming i is positive.\nAnswer: i**(16512\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 816 divided by 48\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a minute in milliseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5660*g + 227342 = -172841 - 76525 - 38352 for g.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1157178 (base 9) to base 8.\nAnswer: -2313506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200814 and 14?\nAnswer: 1405698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*c = 47636529 + 10334704. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a21 (base 12) to base 7.\nAnswer: -12211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + 39. Let m = 18 - v. Sort m, -1, 4 in decreasing order.\nAnswer: m, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74198530 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -150 - -167. Suppose -1019 = -18*s + y*s + z, -s = z - 1009. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abb when three letters picked without replacement from {a: 1, b: 5, n: 3, z: 1, w: 1}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6249 - -6249.03. Let k = 3 - 3.2. Let z = -0.2 - k. Sort -0.5, z, i in decreasing order.\nAnswer: i, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvt when three letters picked without replacement from {z: 1, t: 5, d: 1, e: 3, v: 1, b: 2}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 - 3*o**3 + 5*o**3 - 12*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1847465 is divided by 184744?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8181108 to 3 decimal places.\nAnswer: 3.818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d + 36. Let s be v(6). Is (-8860)\/(-20) - (-2 - s\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l - 14. Let z(m) = 4*m**2 - 12*m. What is u(z(c))?\nAnswer: 12*c**2 - 36*c - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -610.257558 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133699 - -47699. What is w rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v + 26*v - 27898 = 0. List the prime factors of v.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, 9, 95, 245, 477, 809, 1259?\nAnswer: 1845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 1 + (1 - 3 + 3)*(3 - 3 + 1) + 0 + 1 - 2)*((-22 + 4 - 18)*(-4*g + 0 + 0) - 5*g + g + 0*g).\nAnswer: -140*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**5 + 6078*t**4 + 3060219*t**3 - 18525756*t**2 + 27846528*t - 12387072 = 0?\nAnswer: -1016, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -3 + 1 + -1. Suppose -2*k - d*k + 257 = -2*c, -k - 4*c + 47 = 0. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 4*w**4\/21 + 3*w**3\/7 + w**2\/7 - 17*w. Factor k(c).\nAnswer: 2*(c + 1)*(8*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*x - 803 + 1282 = -1131 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 105, 113, 125, 141, 161?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-14)*(-315)\/(-90))\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e3808f - -1?\nAnswer: e38090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*(-5)\/(540\/24))\/(76\/(-247)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 13167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -3\/997, 1\/5?\nAnswer: -3\/997","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(-6*(-5 + sqrt(847) + 1))**2.\nAnswer: -62141 + 6336*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*l**2 - 12 - 2 + 13 to the form s + z*l**2 + i*l and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105620967*s**2 - 201936997*s?\nAnswer: 211241934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13468*n + 13471*n + 13245*n - 40182*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-22)\/(-4)))\/((-22)\/(-2))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -139. Let c = -89 - k. Calculate the remainder when 80 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52\/10 - (-5 + 16 + -6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10591638 and 460506.\nAnswer: 10591638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 980\/84*(210\/25 - 3). Let g(a) = -10*a + 623. Calculate g(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5252 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13c0 + 1?\nAnswer: -13be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z + 15*z - 525 = 0. Let c = -1227\/7 + z. Let h = 12\/11 - 10\/11. Is h bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 15946968*g**2. Let q(u) = 9*u. Give f(q(w)).\nAnswer: 1291704408*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.99 - 0.01. Let z = 0.085 + 4.915. Sort a, 2, z in increasing order.\nAnswer: a, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t - 4. Let d(a) = -15*a + 10. Let c(f) = -2*d(f) - 5*x(f). Let y(z) = z**2 + z. Determine -c(k) - 8*y(k).\nAnswer: -8*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.47, -558\/13, -2, 2\/19, -6\/11.\nAnswer: -558\/13, -2, -6\/11, 2\/19, 0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 5*k**2 + k - 6. Let n be j(5). Let l = n + 5. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -7. Let z be (-8)\/(-44) - (-62)\/22. Let m be (10\/15*9)\/2. Solve -4*p - 2*l = -z*p - 7, -v*p + 21 = m*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 4*g - 2. Let r = g + -2. Let s = 38 + -38. Put -2, s, r in ascending order.\nAnswer: -2, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7077 and 281287497?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qllllllllllllqq. Give prob of picking 2 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5020264 (base 7) to base 16.\nAnswer: -90d27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 10 = 3*t, -x + 24 = 26. Which is the smallest value? (a) -179\/2 (b) t (c) 1\/4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9926597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/5 - 224\/(-70). Suppose -138 = -d*k - k - 4*c, 0 = 3*k - 2*c - 96. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*q**2 + 40803*q - 20037222.\nAnswer: 3*(q - 447)*(3*q + 14942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 37 - 58, -30 = -5*o + 5*h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**5 + 10*n**5 - n**5 + (-2*n**4 - n**4 + 5*n**4)*(2*n + 1 - 1) - n**5 + 2*n**3 - 2*n**3 + (4*n**2 - 2*n**5 - 4*n**2)*(-1 + 1 - 1).\nAnswer: 15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11*s**3 - 14*s**2 + 77*s + 445. What is the thousands digit of i(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -433, -853, -1275, -1699?\nAnswer: -2125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 1487.\nAnswer: 7435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210.00871491734 - 0.00868661734. Let u = a + -210. What is u rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*p - 71*p + 2737 = 14393 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 5*s + 20 - 0, 0 = 4*s - 16. Suppose h - 32 = -x*h. Suppose 0 = 4*f - 2*f + 4*m - h, 0 = -3*f - 3*m + 42. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -219, 0, -5, -3, 5, -15, -1 in decreasing order.\nAnswer: 5, 0, -1, -3, -5, -15, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((9\/(-8))\/3)\/(4\/(-16)). Which is the biggest value? (a) -0.3 (b) 0.4 (c) -4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 24694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.82 or -14248?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-3)\/54*-9)\/(((-2)\/(-1))\/102)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-56))\/(1\/(-21)). Solve n + 3*m = -1 + h, 2*m + 2 = 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -23\/5*g**2 + 6*g**3 + 0 + 9\/5*g**4 + 4\/5*g = 0. What is g?\nAnswer: -4, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/3216 and 161\/45828.\nAnswer: 183312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 499 and 5434609?\nAnswer: 5434609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/17)\/o)**(41\/3)\/((o*o**(-10))\/((o\/((o*(o\/(o**(-1\/3)*o))\/o*o)\/o))\/o*o*o)))**(-15\/7) assuming o is positive.\nAnswer: o**(-3130\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 3)*(2*f + f - 2*f) + 2*f - 2*f + 2*f - 20*f + 2 + 103*f - 4 as w + c*f and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 346955192 to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kcctsckcssxkesx. Give prob of sequence tks.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 20*i - 484 = 0, 220*l - 5*i - 112 = 222*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 13 - 19*k + 0*k**2 - 2*k**2 - 4. Let v be o(-8). Suppose 92 = 2*j + 24. Is v <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -247714 at most as big as 0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 18. Let v = 13 - s. Let p = -1112\/21 - -158\/3. Which is greater: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - 8 + 10 + 3*q - q**2)*(-2*q - 3*q + 4*q) to y*q + o*q**3 + j*q**2 + i and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/2)*y**(-2\/7))\/(y*y**(1\/4)*y*y)**(1\/31) assuming y is positive.\nAnswer: y**(963\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5622*d**3*h - d**2*h**2 + 376980215*d*h**2 wrt d.\nAnswer: -33732*d*h - 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/585*(7 - 1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1701 by -3.\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -392 - 344880.\nAnswer: -345272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n + 4 - 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 339267915289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 951592 to the power of 1\/2, to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 7*k**2 + 5*k + 4. Is n(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4030)\/(-620)*-4*2\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2 - 22. Let a be 92\/(-3) - 4\/(-6). Let g = a + 52. What is the remainder when g is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8002934 hours in days?\nAnswer: 0.075012225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 415\/91?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -264*y + 2*y**2 - 51731 - 2560*y**6 + 25863 + 25861 wrt y.\nAnswer: -307200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a + 4*k + 32 = 0, -4*a - 93 + 79 = 3*k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*r**3 + 24*r**5 - 19*r - 18*r**3 + 68*r**5 wrt r.\nAnswer: 1840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -43 + 41 - (-67 + -4 + 0 + 3)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14031 - -13905) + 94 + 1\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 5*u + 6752, 0 = 93*h - 97*h + 4*u + 26912. Is h a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 5*a**2 + 4*a**2 + 8*a**2 + 8*a**2 + 2.\nAnswer: 20*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06314 rounded to 3 decimal places?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -66, -472, -1562, -3678, -7162?\n\"Answer: -57*r**3 - 7*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 2:55 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -752 divided by -644\nAnswer: 188\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -8*f**5\/3 + 347*f**3\/6 + 517*f**2. Differentiate p(s) wrt s.\nAnswer: -320*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28006 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Suppose 8 = -z*o + 4*o. What is the second derivative of 2*a**2 + 2*a - a**2 + 0*a**o wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/4)\/h*h))**(6\/11)\/((h**(-2\/15)\/h)\/(h\/((h\/(h**6\/h)*h)\/h))) assuming h is positive.\nAnswer: h**(2159\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -2*p**4\/3 + 11*p**3\/3 - 75*p**2. Let q be n(1). Solve -5*y = y + q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -3\/10, 1, -4, 35\/4, -3\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 4257 = -5*y + 2141 + 2160, 5*y - 40 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-299)\/((-33488)\/(-3360))*(-16)\/(-10).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9)*(-5 - 1). Let i be (-45*w - 3)*-1. Suppose 0*m = 3*m - i. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67300\/3 - 22432. Sort 5, 1\/4, a, 6.\nAnswer: 1\/4, a, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 2*y**2 + 1 - 4 + 8 + 3*y to the form o*y + c + s*y**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.086782 and -2616.\nAnswer: -2628.086782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*u = -6828 + 6856, -3 = o + 2*u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)*b)**14\/((b*b\/(b**(-1)*b*b))\/b)**(-13)*(b**(2\/3)*b**0*b)\/(b**(-2\/9)\/(b\/(b\/(b\/(b\/(b\/(b*b**(-5)\/b*b)))))*b)) assuming b is positive.\nAnswer: b**(155\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**3 - 13050920*q**2 + 232413534*q.\nAnswer: -12*q - 26101840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1977450 + 2827450. What is f rounded to the nearest ten thousand?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8809124809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 198885 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: List the prime factors of 99664826.\nAnswer: 2, 49832413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1001 (base 2) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 230899 (base 10) to base 14\nAnswer: 6020b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3216 is divided by 3215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (12 - 8 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 + 207.3. What is the third smallest value in o, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1745 + 3?\nAnswer: -1742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 9 + 23. Suppose 0 = k + 2, 0 = 2*n + 3*n + g*k - 2. What are the prime factors of 38 + -3 + n + -2?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/2935 and 27\/73.\nAnswer: 214255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 15 = -5*r, 3*c - 12 = -2*r + 7. Let m = 13 - 10. Determine u, given that u**2 + 3*u**r - u + u**3 - m*u**2 - u**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2158344 by -17406.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61221*v**3 + 5*v - v - 4*v + 230979*v**3.\nAnswer: 169758*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2 + 4218*d - 3973723 = 0 for d.\nAnswer: -5011, 793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 18*x**2 + 3*x - 2. Let o be n(1). What is the third derivative of -63*h - 3*h**2 - 2 - 65*h**3 - o*h**3 + 63*h wrt h?\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 666128397?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 92 = -4*w, 2*k - 3*w - 11 = 2*w. Let h = 24 - k. Put -2\/21, h, -0.1 in descending order.\nAnswer: h, -2\/21, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -12*n**2 + 1361*n - 6748. Give z(5).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 16*k**2 - 7*k - 91. Let d be 3534\/155 - (-4)\/(-5). Is t(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6046638 divided by 1?\nAnswer: 6046638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (80 - (180 - 111)) + -29 + -1 + -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12000010 + 0?\nAnswer: -12000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10*25\/(-10). Let v = -1 + a. Let t be 1\/(0 - (v + 1)). Put 2, 0, t in decreasing order.\nAnswer: 2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1155\/8524?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 32 + 85 - 76*o**2.\nAnswer: -76*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 = 2. Solve -w - 4*g + 25 = k*w, g = 2*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(8208) - sqrt(8208)*4)*2)\/((sqrt(45)\/sqrt(5))\/sqrt(3) - 5*-5*sqrt(3)).\nAnswer: -216*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 686*v**3 - 4 - 2 + 705*v**3 - 1392*v**3.\nAnswer: -v**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -2. Let k be 28\/(-6)*(-9)\/6. Suppose 0 = -4*w + 2*f + 2, k*w - 8*w + 8 = 2*f. Solve w = 2*n - y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 - -0.3. What is the nearest to -1\/2 in -2\/17, t, 5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1914a (base 16) to base 2.\nAnswer: 11001000101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 9\/3950?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 110400?\nAnswer: -110363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -7*k + 2*k - 58, -k + 34 = 3*w. List the prime factors of w*((-84)\/(-16) - -1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2300736637 or -1?\nAnswer: 2\/2300736637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -1, 5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 31*q - 149*q - 54*q - 83*q**3.\nAnswer: -83*q**3 - 170*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1520 - 1329. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44731685*w**3 - 20748164*w**2 + 1 wrt w?\nAnswer: -268390110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1377) + 1 + -1)**2.\nAnswer: -18*sqrt(17) + 1378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33368642 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d + 11*d + 10*d)*(4*d + d + 0*d).\nAnswer: 70*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 2)*((4*d - 3*d - 3*d)*(-3 + 1 + 0) + 4*d - d - d - 93*d + 76*d - 42*d + d + 3*d - 2*d).\nAnswer: 204*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 36400 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 166\/8 + 6\/24. Suppose -v*o = -19*o. Solve o*t = t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 15*c - 12. Let j be u(15). Let i = j - -17. Let n = 9 - i. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 61 (b) 2 (c) -0.3 (d) 1\/5 (e) 47 (f) 4 (g) -11\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/132 + (-6)\/(-120)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 177, 0, 1, -4 in decreasing order.\nAnswer: 177, 71, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (188*a**4 - 82 + 82)*(-3*a - a + 3*a - 2).\nAnswer: -188*a**5 - 376*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -165538016 rounded to the nearest one hundred thousand?\nAnswer: -165500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-448))\/(840\/(-896))?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146894.6 years to centuries.\nAnswer: 1468.946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 7*b = 5*n - 27, 3*b - 2*n + 15 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 9*j - 2*i - 24044, 2*j + 12006 = 3*i. Do j and -6009 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-14)*(378\/45)\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b*b\/((b\/(b\/b**(-3\/8)*b))\/b))*b)*b**1*b*b*b*b*(b\/((b**(3\/2)\/b)\/b))\/b*b*b**(-2) assuming b is positive.\nAnswer: b**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72219 is divided by 1009?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 20 = -3*s, 0*q = -3*q + 6. Let w(a) = s*a**2 - 4*a**2 + a**2. Let h(k) be the third derivative of -3*k**5\/20 + k**2 + 271*k. Determine w(h(u)).\nAnswer: 81*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 74 = -81. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 536173 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 divided by 39.\nAnswer: 72\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 346152 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 139*p**5\/60 - 178*p**2 - 1. Let c(a) = -a. What is c(i(u))?\nAnswer: -139*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10774 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: Solve 2*w = 5*v - 353 + 378, 0 = -0*v - 4*v - 5*w - 53 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33127732 is divided by 21304?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7750817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 96786030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/3*(-27)\/12. Suppose 5*f + 1 = 26. Suppose f*m - o*m = -10200. What is m rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)\/l**(2\/15))\/((l*l**(2\/7))\/l*l\/l**3) assuming l is positive.\nAnswer: l**(-674\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2961427*l**4 + 7*l**3 + 29*l**2 + 49114*l - 2.\nAnswer: 71074248*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 5 + (4 - (-1 + 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 121\/3 - 22\/66. Suppose 6*f - 16*f = -x. Suppose -5*i = -3*i - 6, 3*a = -f*i + 171. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*((d**6\/d)\/d)\/d*d*d*(d*(d*d\/((d\/(d\/(d*d*d*d**(-3\/4))*d))\/d))\/d)\/d*d*d**(5\/3)*d**(5\/3) assuming d is positive.\nAnswer: d**(133\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*k - 1240 = -103*k + 108*k. What is the highest common factor of 4550 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*p = 2*p - 4, -2*p = 2*t + 8. Let w be (-16)\/(-6)*t\/(-2). Let k be -2*w\/16*-8. Solve k*q = 7 + 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjpk when four letters picked without replacement from {k: 5, p: 2, j: 2}.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)\/q)**(-43) assuming q is positive.\nAnswer: q**344","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**2 - 26*g**2 + 9*g**2 + 3*g**2 + 2*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 539 divided by -11.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from wdkdkkwdk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1 - 46*z**2 + 56*z**2 - 17 + 15*z + z**3. Let n be k(-7). What is the greatest common divisor of n and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 1483*j**7\/210 - 3259*j**4\/24 - 2035*j**2. What is the second derivative of a(t) wrt t?\nAnswer: 17796*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -13 + 15*x**2 + 0 - 14*x**2 + 8*x. Let k be p(-9). Is 4*2*(-2)\/k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 434075 and 1642.\nAnswer: 712751150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5922439 to the nearest integer?\nAnswer: 2434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.33 take away -0.93?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -300717, -601427, -902137?\n\"Answer: -300710*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 2:31 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s - 112 = 0. Let l = 59 - s. List the prime factors of l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 5, 0, 38.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 41.9193ns?\nAnswer: 0.0000419193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*d**2 + 33*d + 3.\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (44\/36 + -1)\/((-1)\/5). Suppose 3*a - 11 = 28. Suppose -3*r - 2 = a. What is the biggest value in l, r, -0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 6*t**2 - 17*t - 4. Let f be k(-8). Solve -f*j = u + 7, -u - 3*j - 10 + 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-336)\/(-18))\/7)\/((-40)\/12).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1314221, 2628362, 3942503, 5256644, 6570785?\nAnswer: 7884926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-44910)\/(-3987010)*17\/(-6)\nAnswer: -3\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**10\/2520 + r**6\/120 - r**3\/6 + r**2. Let z(c) be the first derivative of q(c). What is the third derivative of z(x) wrt x?\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3142 + -3568.6. Let o = -426.299933 - p. Let s = o - 0.3. What is s rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84841 or -84828?\nAnswer: -84828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 14. Suppose w*s = -4*c + 5039980, 3*c - 975921 = -5*s + 2804059. Round c to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2051, 4248, 6445, 8642?\n\"Answer: 2197*c - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*c - 37 = 4*v - 556*c, 2*v = -3*c - 31 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-136)*(-1 + 5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*(b\/(b**(1\/24)*b))\/b)*b**(-1\/37))**(7\/4))**(-1\/9) assuming b is positive.\nAnswer: b**(-6307\/31968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5 = -s + o, 3*s - 3*o + 15 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**3 + 11*g**2 - 4*g - 40. Let a(d) = -7*d**3 + 10*d**2 - 4*d - 40. Let s(j) = 4*a(j) - 3*r(j). Is s(-5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -1324052\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 1000?\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) 0.1 (c) 0 (d) 1336\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1567 (base 14) to base 8\nAnswer: -7347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2597468.\nAnswer: 2, 131, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/((-28)\/40)*5. Calculate the greatest common divisor of s and 450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 (base 15) in base 13?\nAnswer: -2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41170000 rounded to the nearest 1000000?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -9 - 5*f**2 + 16*f - 28*f + 15*f. Let l(m) = 10*m**2 - 7*m + 19. Let y(q) = -7*a(q) - 3*l(q). What is the derivative of y(j) wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*o + 641*o = -2*v - 16, 3*v = -o - 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 - 0.18. Let f = -3.2 - -6. Let h = f + -3. Which is the closest to h? (a) -2\/5 (b) 4\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -851?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b + w + 4 = 0, 2*b = -w + 4. Solve -2*o + b*h = 12, -o + 3*o - 3*h + 16 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41.3 times -243\nAnswer: 10035.9","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 4*d**2 + d + 2. Let v(p) = -1929*p**3 + 12860*p**2 - 3215*p - 6430. Determine 3215*b(t) + v(t).\nAnswer: 4501*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/16 - (-114)\/24. Suppose 8*y = -4*q + 3*y + 138, k*q = 3*y + 122. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**6\/120 + h**5\/12 - h**4\/8 + 2*h**2. What is the units digit of u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 114*i - 8*i**2 - 114*i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/4*2)\/((-13)\/1586). Factor -m**2 - l*m - 6*m + 44 - 44 - 31*m.\nAnswer: -m*(m + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2038, 3993, 5948, 7903?\n\"Answer: 1955*i + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-10 - (-80)\/56)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -1 - 2)\/(-2 + 1). Suppose 0 = -2*t - 2*i + 102, 63 = t - f*i + 4*i. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e7 + 2b?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -465*m**2. Let k(j) = 6*j. What is k(r(s))?\nAnswer: -2790*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 divided by -6.\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 190 = -4*x - 117, -x = 2*i + 78. Let f = x - -98. Suppose 0 = -f*w + 20*w + 36. What is the remainder when 161 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 200\/(-72)*(-66)\/(-110).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.79999687 - 3.8. Round b to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 2*d + 7, -4*d + 6 = 3*o + 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 391 - 339. Let j(o) = -f - 54 + 8*o + 156 - 55 - o**3 + 5*o**2. Calculate j(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 5*y - 1375752, 0 = 189*n - 184*n - 5*y - 1719645. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10374)\/1330*370\/(-2). Suppose 39 = 4*x - 13. Let l(p) = x*p - 1443 + n. Let c(m) = -3*m**2. Determine c(l(g)).\nAnswer: -507*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (4 - -7) + 10 - 7 - -45.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 658*w - 971. List the prime factors of r(7).\nAnswer: 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + x + 0*x + (0 + 2 - 3)*(3*x + 2*x - 7*x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**5 - 2*v**5 + 6*v**5 + (-3*v - 3*v + 4*v)*(4*v**4 - 4*v**4 - 2*v**4) + 0*v**5 - v**5 - v**5 - v**2 + 2*v**5 + v**2.\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - 1)\/(0 + -1). Suppose 3*b - 19 = p, -4*p - 16 = b - x. Differentiate -1 + b - 5 - g with respect to g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150535 (base 7) to base 5\nAnswer: -1412313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.94 + -0.08?\nAnswer: 1.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4482192 times 22\nAnswer: 98608224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*k + 386 = 4*p, -3*p + 3*k + 294 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from ihshsohihtwihth?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64.6 - 11.4. Let n = 7197 + -7121.056. Let p = n + d. Round p to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -a + 2*j, -2*a = 3*j - 0*j - 11. Solve -a*b = b - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1016 + 1019. Solve -4*m + 13 = -9*c + 8*c, c = u*m - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 54. Determine j(-20).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/(621\/(-441)) - (8\/30)\/((-42)\/105)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202208073.\nAnswer: 3, 1471, 45821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*u + 76*u + 43*u**2 - 34*u**2.\nAnswer: 9*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -61, -0.4, -5, -44\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2684887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 910 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 127097 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d*d**(-5)*d*d**(1\/7)*(d**2\/d)**17 assuming d is positive.\nAnswer: d**(113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*t - 20 = 0. Let w(n) be the first derivative of n**2\/2 + 2. Calculate the least common multiple of t and w(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*k + 634*k + 1271*k.\nAnswer: 1515*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 12) to base 16.\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 - 224 = -5*s. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*b - b**3 + 4*b**4 - 34 - 4*b + 33 as v*b + x*b**2 + u + k*b**3 + o*b**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007422683 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -16*h**2. Let d(l) = -2536*l. What is f(d(c))?\nAnswer: -102900736*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*s**3 + 483*s**2 - 954*s - 1080.\nAnswer: -3*(s - 30)*(s - 3)*(5*s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by -41.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2242 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 0)\/((-4)\/((-24)\/(-99))). What is the biggest value in -2\/19, 0.3, m, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 46, -1, 3 in descending order.\nAnswer: 46, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.059606 - -0.0519. Let u = 0.0142 + d. Round u to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 43 - 67. What is the remainder when l is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2. Let f(x) = 157*x**2 - 5*x - 42. Determine f(p(j)).\nAnswer: 157*j**4 + 5*j**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 divided by 4?\nAnswer: -147\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/76*((-16)\/26)\/2.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 155 = -4*g - 129, -5*j - 3*g = -277. Suppose -2*f + r = -28, -f + 4*r + j = 3*f. Solve 5*i = -o + f, 0*i + i - 2 = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*k + 409 = 3*x - 699*k, -4*x + 76 = -4*k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 0*u - 4 + 3*u + 4. Let s(i) = 4*i**2. Calculate x(s(y)).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k - 24. Determine r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3109 + 4*u**2 + 9790 - 3357 - 3329.\nAnswer: 4*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (111\/(-171))\/(15\/(-18)). Let d = k - -2\/95. Factor 0 + 2\/5*a**2 + d*a - 2\/5*a**3.\nAnswer: -2*a*(a - 2)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/11)\/a**(-6)*(a**1)**(-9\/7)*a\/(a\/a**4)*a\/(a**(-6)\/a)*a*a**(-8)\/((a\/(a\/a**3))\/a) assuming a is positive.\nAnswer: a**(608\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9290436 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d - 5*d - 17*d. Let f(l) be the second derivative of 12 + 1\/6*l**4 + 0*l**3 + 0*l**2 + 2*l. Calculate f(k(b)).\nAnswer: 1352*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 2}. Give prob of picking 1 r and 1 k.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(6)*-1*-1)\/(sqrt(200) + (1*(sqrt(200) - (sqrt(200) - (sqrt(200) + -2*sqrt(200) - sqrt(200)))) - sqrt(200))).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, m: 3, b: 9, y: 1, v: 3, q: 1}. What is prob of picking 3 v?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12400548, -12400544, -12400536, -12400524?\nAnswer: -12400508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2. Let y(x) be the first derivative of 0*x - 13\/2*x**2 - 79. What is z(y(k))?\nAnswer: -676*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4776.5 to the nearest 10.\nAnswer: -4780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7078*i**3 - 9*i**2 + 216*i - 12597 wrt i.\nAnswer: -42468*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 1 - 3 - n + (1 - 1 + 13)*(-1 - 3*n + 1) as p + z*n and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0518 - 0.0972. What is a rounded to three decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15634112.\nAnswer: 2, 13, 19, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139 - 148. Which is the smallest value? (a) m (b) -5.9 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -211*b - 1307 - 1014 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3875 - 6*x - 1893 - 1911)*(-4*x**3 + 2*x**3 + x**3) to the form o*x**2 + f + i*x + k*x**3 + w*x**4 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 11*s + 9. Let o be t(4). Let r = -34 + o. Suppose -5*m = -2*z - r*z + 855, z + 4*m = 166. What is z rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/1 + -2 - -1. Let g be (m - (-15)\/6)*2. Find the third derivative of 3*c**6 + g*c**2 + c**6 - 5*c**6 wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k*k\/(k*k*k\/(k\/(k\/(k*((k**(-6\/17)\/k)\/k)\/k)*k*k)))))*k*k**17 assuming k is positive.\nAnswer: k**(215\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, -7, -40?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, 1, 6, -363 in ascending order.\nAnswer: -363, 1, 4, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1109 + 5563\/5. Sort -0.06, 3\/5, p in increasing order.\nAnswer: -0.06, 3\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 2*s**2 + 5*s + 2. Let x(f) = 1. Let l(i) = -i - 5. Let a(p) = -l(p) - 5*x(p). Let w be a(1). Let r = w + -4. Calculate o(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-1026)*-19*40.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -315522 (base 6) in base 5?\nAnswer: -1312043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/17))**(8\/7)\/(v*v*v\/(v\/v**(19\/4)*v))**(-11\/2) assuming v is positive.\nAnswer: v**(29979\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + v = 5*v - 16, 4*v = 5*t - 65. Suppose 4*o - t*o = -20. What is the greatest common factor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.5 + -4. Put c, 29, -2\/7 in ascending order.\nAnswer: -2\/7, c, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -343\/870 - 1\/174. Let b = -5 - -2. Is y at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000619 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2430)\/972)\/(6\/4*-2)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -620 divided by 2?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**5\/4 + 5*t**4 + 33*t**3\/2 + 17*t**2 + 23*t\/4 = 0. What is t?\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2862.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -238 - -498. Let b = v - 66. Calculate the remainder when b is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*a + p, 0 = -3*a - 2*p - 67 + 82. Solve 0 = t + a*j - 11, 4*t - 2 = 15*j - 13*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -131842, -131815, -131772, -131713?\n\"Answer: 8*p**2 + 3*p - 131853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/21)\/((-5)\/(-7)). Sort l, 0.3, -4 in decreasing order.\nAnswer: l, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 7*m**2 + 9*m. Suppose -5*q + 23 = -v, 3*v + 4*q - 4 = 2*v. What is a(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*i*s - a*i - 61879*a*s + 117*a - 100*i*s + 20085*i - 4*s + 1 wrt a.\nAnswer: -i*s - i - 61879*s + 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 127957381 and 127957381 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = -0*s. Let w be ((-1)\/s)\/((-3)\/27). Suppose 0 = 3*g + 3*l, 0*l - 2*l - 20 = -w*g. Solve 5*r - g = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 338 - 581. What is the remainder when (-31050)\/m - 2\/(-9) is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 134007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-15))\/((-3)\/30)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16977480 is divided by 3793.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -15 - -3) + -11. What is the third biggest value in -0.2, f, -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1736 by -1736.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l + 22 = 0. Let u = l + 27. What is the smallest common multiple of u and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**2 + 19*k**2 + 36 - k**3 - k - 34*k**3 - 62*k**3 - 13*k**2 in the form w*k**2 + m + r*k**3 + t*k and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2829577*n**2 - 2304784 wrt n?\nAnswer: -5659154*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Suppose 3*o = d - n, 5*d - 1 - 6 = -3*o. Suppose 6*p + 480000 = d*p. Round p to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15357607?\nAnswer: 419, 36653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*1 - (0 - 1). Let l be (-11 - (-588)\/48)*(-72)\/(-45). Solve -q*h + 3 = -3*b, -h + 4*b = 13 - l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5021 is divided by 381.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.42, 3, 0.2, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 93\/62 + (-10)\/((-140)\/21). Solve 2*r + 12 = -5*k, t*k + 6 + 2 = -r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2 + (-477)\/(-1485). Let q = 62\/15 + y. Find the common denominator of q and -81\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, x: 9}. What is prob of picking 3 v?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.016862*27.\nAnswer: 0.455274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, 86, -5, -16, -4, 5 in decreasing order.\nAnswer: 86, 83, 5, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + u + 4*w + 6, -u - w = -3. Suppose -25*j + 58*j - 27 = 6. Which is the second smallest value? (a) -2\/3 (b) j (c) 0 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/28)\/(-3)*-1*2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20318651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 107182348 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18433 is divided by 2397.\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 4. Let a(q) = -14*q - 36. What is 4*a(w) + 36*c(w)?\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7260*n**3 + 3*n**2*y**3 - 2*n*y**3 - 2*n*y**2 - 5193*y**3 wrt n.\nAnswer: 43560*n + 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 48009 = -v, -3*v + 144044 = -1340*c + 1338*c. What are the prime factors of v?\nAnswer: 2, 24007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -14, -652, -5.\nAnswer: -652, -14, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64 - -4?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**3 - b**2 - 2*b. Suppose -9*z = 9*z - 36. Let j(s) = 0 - 116*s**3 + 122*s**3 + 0 - 2*s. Determine z*x(c) - 3*j(c).\nAnswer: -4*c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -625 at most as big as -589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 277 - -22. Suppose 0 = -16*b + 1243 - m. What are the prime factors of b?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1463636, 1463637, 1463638, 1463639, 1463640?\n\"Answer: s + 1463635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c - 19*c + 52*c + (-3*c + 0*c + c)*(-5 + 1 + 1))*(-3 + 0 - 1).\nAnswer: -184*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*x = -175, -2*c + x - 188 - 165 = 0. Let r = c + 308. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 15.82566.\nAnswer: 16.22566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -c79?\nAnswer: c77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -10. Suppose 917*x - 909 = 914*x - 3*f, -2*f = 30. Calculate the lowest common multiple of x and a.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19696*w - 19229*w + 15*w**2 + 58152*w - 19227*w.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 7*s + 123. Let b be n(-15). Suppose 4*h + 4*o + 4 = 8, b*h - 27 = 5*o. Solve 6*k + 2 = -h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27906 to the power of 1\/2, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((136\/(-102))\/((-20)\/(-6))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 6. Let g = u + -10. Suppose -2*w = 2*h + 2, -3*h = -0 + 6. Which is smaller: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(170)*-6)\/(6*sqrt(10)*-2)*-5.\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 1. Let y = -14 - -16. Let s = y - 0. What is the third smallest value in 4, x, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 15*h**2 - 36*h + 33. Give m(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 156414158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453 = 22*z + 7 - 434 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 117160*w + 5280300.\nAnswer: -4*(w - 29335)*(w + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -333*d. Let t(p) = -20*p**2. What is w(t(m))?\nAnswer: 6660*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19321.581 months in centuries?\nAnswer: 16.1013175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 764\/16 - (26\/(-8) + 4). Suppose 43 = 6*y - g. Solve 2*z + 3*z = l - 25, -y = 5*z + l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -328\/483 - -3620482\/5332803. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -15*c**3 + 4*c**2 - 6*c - 1. Let a(q) = -8*q**3 + 2*q**2 - 3*q - 1. Let o(v) = 7*a(v) - 4*i(v). List the prime factors of o(5).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 i when three letters picked without replacement from liilssiniinlanai?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d*d**(7\/3))\/d*d*d*(d*(d*d*d*d**31)\/d)\/d assuming d is positive.\nAnswer: d**(115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 5*n**2 - 7*n - 2. Let o be r(-6). Solve -o*j - 21 = 2*l + 3*l, 0 = -2*l - j - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9218*a - 5*u - 16 = 9222*a, 0 = -3*a + u - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1489.3 + 1486.3. Sort 0.2, 1\/2039, q in descending order.\nAnswer: 0.2, 1\/2039, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8940 by 15.\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5783 + 6685. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 18*h - 5*h - 7*h. 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: Collect the terms in -9332*p + 41298 + 9379*p - 41298.\nAnswer: 47*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j. Let q = 114 + -113. Let y(g) be the first derivative of 0*g**2 - q - 1\/3*g**3 + 0*g. Determine y(t(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4723\/5 + 945. Let x = 57 + -61. Which is the second biggest value? (a) 1\/3 (b) q (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b7bc9 (base 15) to base 14.\nAnswer: 26d399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 26782?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13.104 or -69\/26?\nAnswer: 13.104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -32. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**6\/60 + u**5\/60 - u**4\/24 - u**3\/6 + 3*u**2. Let r be h(-1). Solve 5*s + r*z - 6*z = -4, 2*z = s - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:38 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*u**4 + u - 1527*u**3 + 12*u**4 + 3 + 1525*u**3 in the form n + f*u**3 + i*u + t*u**4 + o*u**2 and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2135 - 1829 = 4*o, 3946 = -2*b + 2*o. Let u = b - -7360. Suppose -5*p + u = 2019. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:40 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14316*o**2 - 8*o - 201.\nAnswer: 28632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1467 (base 9) to base 7.\nAnswer: 3151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -94, -185, -322, -511?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000100 - 1010011010?\nAnswer: -1101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-9)*(-18)\/(-4). List the prime factors of ((-7)\/6 - p\/18) + 57.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/3 + 0*s**2 - 2\/9*s**3 + 14\/9*s = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -19*v**5\/30 + v**4\/24 + 4*v**3 + 21*v**2 + 2*v. What is the second derivative of u(r) wrt r?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 + 0 + 2 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5161617 by 32463.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18324*n*p**3 + 2*n*p**2 - 41*n*p + 10*p**5 - 16*p**2 + 2*p + 4 wrt p.\nAnswer: 109944*n + 600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 614*m + 6 + 6*m**4 - 5*m**4 - 2 - 336*m**3 - 4 wrt m?\nAnswer: 12*m**2 - 2016*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*z - i + 6 = -82*z, -z + 3*i - 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1 + 1 + 3*v + 1 + 4*v. Calculate f(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-594)\/162)\/(2\/6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 8 - 16 + (-5 + 0 + 4)*(-2 - 1 + 1))*(14 - 36 + 10 - 1906*b + 12).\nAnswer: -20966*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-2)*i*i**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 divided by 68.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 7*j**2 - 7*j - 5. Let s = 35 + 9. Suppose -7*o + s = -3*o. Suppose -5 = m - o. Calculate x(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 556*z + 39. Is q(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1120 = -4*z + 4*p, 2*p - 1980 = -5*z - 559. What are the prime factors of z?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/(((-3)\/2)\/((-93)\/155))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -11, -3, 5, 13, 21?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38 - -6?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 76?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*b + 28. Suppose 67 = b*t + 19. Does 10 divide t\/6 + (-2848)\/(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a5 - -46?\nAnswer: 50b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 1 (c) 1\/3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -119. Let v = q + 26. Let u = 22 - v. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35086348 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 4*o - 17 = 0, 3*o - 146 + 113 = -8*u + 5*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 8:02 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 701*w - 31359. What is z(-48)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1446622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 - 2429*h\/2 + 5900041\/4.\nAnswer: (h - 2429)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 109*j. Let u(b) = 39045*b**2. Give g(u(i)).\nAnswer: 4255905*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 5381\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 24073*s + 794411. Give n(-33).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -357.3 times -0.1\nAnswer: 35.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 592 (b) 255\/2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.1*10.75477.\nAnswer: -140.887487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 2*g + 1. Let l be u(3). Suppose 4*m = -3*b + l*b + 20, 0 = 2*m + 2*b. Solve -t - f + m = 0, -5*t - 4*f + 15 + 3 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (204 - 99 + 81)*(5*v**3 - v**3 + 3*v**3) as w*v**3 + d*v + n*v**2 + h and give w.\nAnswer: 1302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - 60. Let l(a) = a**3 + 5*a**2 + a + 2. Suppose 4*c + 12 + 4 = 0. What is the remainder when r is divided by l(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + 0 + 0 + (6*h - h - 4*h)*(0 + 2 - 4)*(-2 + 3 + 1).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -189 - 9*z + 22 + 7*z + 6 + 45*z. What is r(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y - 14. Let h(a) = 528*a + 68. Let d(i) = -h(i) - 5*m(i). Let q(f) = -3*f. Determine d(q(u)).\nAnswer: 1629*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/80 and 63\/130.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 0.07, -252, 105?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 + 1.038?\nAnswer: 523.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19883 and 14?\nAnswer: 19897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3\/5*a**2 - 3\/5*a**4 + 0 + 0*a - 6\/5*a**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/12 and -43\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2527 + 5208. Suppose -5*s + k = 2*z, -2*z + z + 1341 = 2*s. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25 + 324*u - 82*u - 145*u + 51 wrt u.\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -14) + (10 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*t + 20 - 20)*((1 + t + 4*t + 1)*(-7*t + 3*t + 2*t) - 3*t - t**2 + 3*t) to q*t**2 + j*t**3 + y + s*t and give j.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s - 1. Let c = 30 - 94. Let u = -64 - c. What is m(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158701 (base 9) to base 4\nAnswer: -113333032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 2*k)*(0*k + 0*k - 6*k).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3294 + 27449. List the prime factors of a.\nAnswer: 5, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 2:33 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 218426 equal to 218426?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/6, -270, 2, -2\/365?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r**2 - r + 6. Let c be (18\/(-5))\/(7\/175). Let w be (c\/4)\/5 - (-15)\/10. What is the units digit of f(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*l*n**2 + 3*l*n*r + l*n*u + 4*l*r - 39*n**2*r*u - 3*n**2*u + n**2 - n*r*u + n + 2 wrt n.\nAnswer: -42*l - 78*r*u - 6*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w. Let v(q) = -q + 7. Let u(d) = d - 6. Suppose -s - 2*s = -18. Let o(t) = s*v(t) + 7*u(t). Determine o(l(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 0*f + 3*f - 1)*(-13 + 12 + 24)*(4*f - 3*f + 0*f).\nAnswer: -23*f**2 - 23*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 - -131. Let j = o + 51. Suppose 2*n = -j*z + 5*z + 3306, 5*n = -5*z + 3300. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 2*k - 9. Suppose 9*s + 114 = -12. Let p(a) = a**2 - a - 4. Give s*p(u) + 6*d(u).\nAnswer: -8*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7446 divided by -219?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121211212002 (base 3) to base 12.\nAnswer: 13ba85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -271 (b) -2\/9 (c) -4\/89 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 3\/4*o**4 + 0 + 0*o + 0*o**6 - 3\/35*o**7 + 0*o**5 + 0*o**3 - o**2. What is the second derivative of v(h) wrt h?\nAnswer: -216*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143135*u + 9 - 107054*u - 9.\nAnswer: -250189*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) 1\/5 (c) 28 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 951 + -950.7. Sort c, 1\/5, -4\/9.\nAnswer: -4\/9, 1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -11*d + 212. Let k(s) = -65*s**2 - 9*s + 20. Let x be k(0). Give z(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -7. Suppose -m*z + 190 = -6*z. 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 the cube root of 19717 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/16 and 39\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j + 427 = 112 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3332*f**3 + 17*f**2*z + 18175*z - 2 wrt f.\nAnswer: 9996*f**2 + 34*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -4.1. Let d = 3 + -2.5. Let s = -85 + 86. Which is the nearest to s? (a) y (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/((-2)\/4*8\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4)*(-16)\/(-112) + 44\/56?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 2*b + 15 + 2*b)*(0 + 0 - 2*b)*(46*b + 55*b + 10*b).\nAnswer: 444*b**3 - 3330*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**8\/5880 + 2*s**3 - 2*s. Let u(k) be the second derivative of z(k). Solve u(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/67 (b) 0.46 (c) -2 (d) 5 (e) -1 (f) 2249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 12. Let o = 15 + -10. Let i(h) = -9*h**2 + h**3 + o*h**2 + 2*h - 7*h + 5. Calculate i(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 3, d: 1, l: 4}. What is prob of picking 1 l and 1 u?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1036, 0.2, -2, 0.4 in descending order.\nAnswer: 0.4, 0.2, -2, -1036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 51228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j + 19*j - 6*j + 2175 - 10*j.\nAnswer: 2*j + 2175","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2210 = -7*i - 3*i. Calculate the greatest common factor of i and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 8*o**2 - o. Let u be t(-8). Let h = u - 5. Suppose -d + h = -28. What is the remainder when d is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110110 (base 2) to base 13.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-94) - (1 + (-19419)\/3). Round u to the nearest one hundred.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x - 1 + x + 0*x. Let r(h) = 8*h + 8. Let g(k) = -4*k - 4. Let o(d) = 5*g(d) + 3*r(d). Suppose 5*q - 1 + 30 - 9 = 0. Calculate q*o(s) - 18*n(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 10 + 120 = 0. Suppose r + 2 = 2*g. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91143*f**2 - 22483*f.\nAnswer: -182286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3877 + -3881. Which is the closest to -2? (a) 5 (b) h (c) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y**3 - 5*y**2 - 2*y + 13. Let d be m(3). Let u = -173 + d. What is the second biggest value in -1, -5, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*x - 17*x**4 + 3*x + 4*x**2 - 11*x**4 - 2*x**2 wrt x?\nAnswer: -672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -3*f. Which is the nearest to f? (a) -1.3 (b) 2\/23 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1945 = 5*n + 5*g, -g - 393 = -2*n + n. Let z = -158 + n. Let x(w) = -2*w**2 - z*w + 233*w. Let i(d) = 22*d. Calculate i(x(v)).\nAnswer: -44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 161746833 * 0.3\nAnswer: 48524049.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2. Let a(k) = 0*k**2 - 2*k**2 - 2*k**2 - 14*k**2. Let q = -18 - -33. What is q*b(l) + a(l)?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (-5720)\/(-221) + -4*(-2)\/68\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/38)*(s**38*s)\/s*s\/s**(-10\/11)*s*s**30\/s assuming s is positive.\nAnswer: s**(29211\/418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-27)\/(-12))\/1. Let j = p - -57\/52. Which is the smallest value? (a) 2\/15 (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-33.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 + -45. Let t = h + -14. Calculate the greatest common divisor of t and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 3 = -v. Let u = v - -9. Suppose -u*y + y + 203 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1926?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 99 = 36*x + 22 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -487*b**3 - 2*b**2 - 11*b**2 + 14*b**2 to the form o + p*b**3 + f*b + y*b**2 and give p.\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:03 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -289, -391, -671, -1219, -2125, -3479, -5371, -7891?\n\"Answer: -15*m**3 + m**2 - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*k + 185*k - 61*k - 56*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/20523312 and 173\/60.\nAnswer: 102616560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 109?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-170)\/16 + 9)\/(1\/(-2)) and -103\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2 + 10. Let v(b) = -24 - 12 + 9*b + 12. Let x be v(4). Is x at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 6*m - 105. Suppose -3*i - 81 = 3*u, -2 = -0*i + i. Let o = u + m. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13583 + -13983. Which is the third smallest value? (a) -4 (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 345 = 3*w, 3*b - 162 = b - 2*w. Suppose 4*y = 17*y - 858. Suppose -15*r - y = -18*r. Calculate the remainder when b is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 3. Let h be -52*(d - (-3)\/(-6)). Suppose 0 = -l + h - 6. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e2 - -2e?\nAnswer: -8b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**4\/6 - r**3\/6 + 5*r**2 + 12*r. What is the remainder when 24 is divided by g(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4 - 29. Let n = v - 42. Let r(m) = -m**2 - 16*m + 18. Let u be r(n). Are 2\/23 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -15*q**3 - 36*q**2 - 37*q + 221. Give o(2).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaagffdgaaaaa. Give prob of picking 1 a, 1 d, and 1 f.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78223, -625597, -2111165, -5003971, -9773059, -16887473, -26816257?\nAnswer: -40028455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 137*n - 3787. Calculate c(28).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - -7. Let b = u - 10. What is the lowest common multiple of b and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 + -60. Let y(n) = -n + 3. Let w be y(a). Suppose -4*o = w - 21. Solve 5*m + 4*d = -27, -2*d = -o*m - 0*d - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y + 5*u + 1 = 0, -4*y + 4*u = 12. Let b = 7 - y. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -801.7, -1\/3, 3, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (20 + 7 - 6) - -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 16\/5 of a milligram?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - g + 1. Suppose -4 = -3*d - 1. Let s(p) = 4*p**2 - 3*p + 6. Determine d*s(v) - 3*o(v).\nAnswer: v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22992409345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 2. Let x be (-637)\/455 - 7\/(-5). Sort 121, x, c in descending order.\nAnswer: 121, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-5)*10\/(-4). Let y(a) = a**2 + 2*a - 3. Let m be y(-5). Suppose d*l = -3*o + m, -5*l - o = -5*o - 15. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o + 6*o - 6*o + (-2 - 2 + 2)*(o - 4*o + 4*o) - o - o + 6*o to the form u + c*o and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 f, and 1 e when four letters picked without replacement from fnnzenonfonfn?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3, 5*i - 154 - 166 = 5*t. Suppose 63 = 2*n - 125. Let j = n + t. Calculate the remainder when j is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 2*a**2 - a + 1. Let w(b) = -1239*b**3 + 708*b**2 + 354*b - 354. Determine -354*r(v) - w(v).\nAnswer: 885*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20445 (base 7) in base 9?\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/(6\/81). Solve -3*m - 5 = -g, -5*g - 5 = -q*m + 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*z - 14*z + 8*z - 16*z + 0*z - 3*z**2.\nAnswer: -3*z**2 - 68*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8238 + 6?\nAnswer: 8245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1602534 + -13124753507\/8190. Let d = -1\/70 - w. Let m(o) = o**2 - 3*o - 5. Let h be m(4). Is d at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(209) - (sqrt(209) - 1*sqrt(209)))*2)\/sqrt(11) + (sqrt(304) - (-1 + sqrt(304)))*-1 + 6*(sqrt(304)*-1 + sqrt(304)))**2.\nAnswer: -12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 + 40. Let t be 10\/(-75) + (-1328)\/y. What is the first derivative of -t*j**2 + 28*j**2 + 10 - 22*j**2 wrt j?\nAnswer: -32*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292736 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -494*d + 470*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + j - j + 103617 + 70623.\nAnswer: j**2 + 174240","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*a - 52 = 139, a = -4*l + 283. Suppose -x = -3*x + 40. Let c = -11 + x. What is the greatest common divisor of c and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -305.77 + 305.7700012707. Round g to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 (base 9) to base 12\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14311 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*h - 24 = -4*r, 3*r + 5*h = 18. What is the remainder when r is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 + 158. What is the highest common divisor of 11 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-69)\/(-60) - (-4)\/(-10). Let h = -14 + 19. Let c(s) = s - 3. Let a be c(h). What is the biggest value in a, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 6*z - 4*z - 14 as t*z + j and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -1542 and 9749.\nAnswer: 8207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 4. Let g be c(-5). Let o be g - (-1)\/(-1)*-8. Suppose -3*f + 4*w - o = 0, -3*w + 8 = 5*f - 2*w. Sort 5, f, -1 in increasing order.\nAnswer: -1, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*k - 389*k + 11256 = -60*k for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0, -1 in descending order.\nAnswer: 0, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x + 150 = 43*x. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -127*r**3 + 3*r**2 - 8*r + 12. Let m be j(-8). Suppose -15*c + m - 477 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 488940 and 684516?\nAnswer: 3422580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -615362720 to the nearest one million.\nAnswer: -615000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**3 - 6*x**2 + 19*x - 11. Let o(k) = k**3 - k**2 - 3*k + 1. Suppose -13*v + 55 = 42. Let f(y) = v*c(y) + 6*o(y). What is f(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 2*z**2 + 20*z + 21. What is w(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 37344399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5981, -6008, -6031, -6050, -6065, -6076?\nAnswer: -6083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 795582 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2151 * -0.1.\nAnswer: -215.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 10\/9, 293.7 in increasing order.\nAnswer: -0.8, 10\/9, 293.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39\/6 + 4*(-4)\/32. Let q(a) = -5*a**2 + 3*a**2 + 4*a + 11 + 0*a**2 + a**2. Let m be q(u). Which is greater: 8\/23 or m?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*15\/10 + 12 + -32\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heeexxxeexxee. What is prob of sequence eexe?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001833833 rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1080)*1)\/((sqrt(80)*2)\/sqrt(8)) - (sqrt(180)\/(sqrt(5) + sqrt(20)\/sqrt(4)))\/(sqrt(24)\/sqrt(2)*-5))**2.\nAnswer: 2883\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**3 - f**3 - 2*f**5 + (0*f + f + 2*f)*(3*f**4 + 0*f**4 - f**4).\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2 + sqrt(13))*-2)**2 + ((sqrt(130) + (sqrt(130) - (sqrt(130) - (sqrt(130) - sqrt(130)*2 - sqrt(130)))) + sqrt(130))\/sqrt(10))**2.\nAnswer: -16*sqrt(13) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 3*s + 3. Let r be l(3). Suppose -9 = -2*h - 1. Suppose -r*f - f = -h. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + -bb98?\nAnswer: -bbb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 4, 3023, -1, -3 in descending order.\nAnswer: 3023, 62, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2040287.03212352 + 2040286. Let h = 91.03208452 + p. Let l = -90 + h. What is l rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**20*d)\/d*d**(-1\/19)*d)\/(d**(-8\/15)\/d)**(-6) assuming d is positive.\nAnswer: d**(1211\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9977 = 4*w + 385. What is the hundreds digit of w\/6 + (-4)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/192 and ((-3610)\/(-720) + -5)*103\/2.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 + -75. Suppose 5849 = 2*r - q*r + 3*k, -3*r + 8764 = -5*k. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-15 - -7 - -20)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401766 (base 8) in base 13?\nAnswer: 48176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 6*q**2 - 1. Let d be x(-6). Let g(s) = -4*s - 1. Let p be g(d). Suppose 0*w - w**3 - w + 3*w**2 - w**p = 0. Calculate w.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) - 6*(2 + sqrt(684)))*1 + 2)**2.\nAnswer: 600*sqrt(19) + 17200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*f + 0*f - 40 = 0, -2*p = -5*f - 28. Let n = 7 - p. Let d be (n*7\/2)\/(-1). Solve -j + d = 2*c, j + 4*c - c - 10 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 2*f**3\/9 + 162*f**2 + 39366*f - 2087. Factor i(n).\nAnswer: 2*(n + 243)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173 + -171. Solve -2*x = 3*y + 1, 0 = -j*x - 6*y + y + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) -0.03 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*q + 207403, 0*g + 4*g - 829602 = 2*q. Round g to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - ((-39 - -53) + -11)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, u: 5}. What is prob of sequence uuul?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 192, 451, 824, 1317, 1936, 2687, 3576?\nAnswer: 4609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4956977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 - 88.908. Let s = 0.108 + b. What is the second biggest value in 1\/4, -0.2, s, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - 0.16. Let d = 0.03 - j. Sort 5, d, 2, 0.5 in ascending order.\nAnswer: d, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3 and -0.5?\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000112463 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*p - 96, -4*p - 102 = -2*q - 0*q. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 15128000 = 13*v. What is v rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.22, -0.1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y**2 - 5*y**2 - 42*y**2. Let s(j) = -2*j. Calculate s(q(w)).\nAnswer: 76*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**4 - 1327*k + 553*k - 1340*k - 1066*k - 1818*k**2 + 5175 - 180*k**3 = 0 for k.\nAnswer: -5, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 186*x**2 - 10*x - 6. Let n be y(8). Suppose l = -2*t + 2*l + n, 0 = -3*t - 3*l + 17718. Suppose 2*h + t = 6*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3602?\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 6) to base 11.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/338 and 69\/1820.\nAnswer: 23660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 696, 2412, 5172, 8982, 13848?\nAnswer: 19776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 2*u**3\/3 - 4*u**2 + 2*u. Suppose -o = -3*t - 25, 5*o = -618*t + 617*t - 3. Let g(s) = -1. Determine o*y(w) - 6*g(w).\nAnswer: 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*x - 4 = 0, -b + 3*x = -0 - 3. Let h be b - (-11 - (-3)\/(-3)). Let a be 2*h\/(-8)*-1. Put -1, a, 2 in increasing order.\nAnswer: -1, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*r**4 + 48*r**3 - r**2 + 2*r - 125785 wrt r?\nAnswer: -120*r**2 + 288*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.9 - 10. Let n = 3.4 + -3. What is the closest to 1 in f, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 = -1. Let t be -7 - (-2 + -1 + b). Let j(z) = -z - 2. Calculate j(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h\/(h*h*h**(-7)*h))\/h*h*h*h)\/((h**(-1\/12)\/h)\/h)*(h**(-6\/11))**22 assuming h is positive.\nAnswer: h**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 228638219 to the power of 1\/3, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-57)\/6)\/(1\/2). What is the common denominator of 3\/23 and (-1771)\/(-315) - (w\/9 - 1)?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**5 + l**5 + 3*l**5)*((4 - 6 + 1)*(-2 + 6 + 1) - 1 + 1 - 4).\nAnswer: 9*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**4\/4 + a**3 + a**2 + 2. Let n(o) = o**3 + 9*o**2 - 11*o - 12. Let u be n(-10). Let p be y(u). Is p at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 293521704?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -416 + 490. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (12 + -17 - (0 - -1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7ac65 (base 14) in base 13?\nAnswer: -a6001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -89 in -165, 1\/6, 2.25?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/447 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1139728, -2279457, -3419186, -4558915, -5698644?\nAnswer: -6838373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 4. Let y be g(-3). Let l = 0 - 0.4. Let o = -0.7 - l. Which is the second smallest value? (a) o (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (2*(2 + (sqrt(38)\/sqrt(2) - sqrt(19)))*4)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -91*h - 41 - 61 + 4*h wrt h?\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554 = -g + 2*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -24*n**2. Let k(h) = -322*h**2 + 164*h**2 + 166*h**2. Calculate z(k(a)).\nAnswer: -1536*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m**3 + m**2 + 5*m + 4. Let y(s) = 3*s**3 + 3 + 4*s + 4*s**3 - 2*s**3 + s**2. Suppose u - 24 = -4*i, 3*i = 6*i - 3*u - 3. Determine i*y(d) - 4*h(d).\nAnswer: d**3 + d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333 = 42*w + 123 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 = -13*m + 107 + 112 for m.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/3*(-27)\/(-4536)*266\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*z - 3*h, -h - 37 = -3*z + 4*h. What is the units digit of z*((-295)\/(-10) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 37*a - 9 = 38*a, 4*a + 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1345 - 1345. Let b(z) be the second derivative of 1\/35*z**5 + l*z**4 + 0*z**2 + 3*z - 2\/21*z**3 + 0. Factor b(x).\nAnswer: 4*x*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 166*n**2 + n - 1. Let f be i(1). Find the common denominator of (-1875)\/(-126) - (-4)\/14 and (f\/8)\/(4\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {d: 1, z: 3, x: 6, c: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1089392830 to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 21*c + 2*k = -4, 3*c + 3*k + 24 = 0. Sort c, 1, 4 in ascending order.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -91325\nAnswer: -91325.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meeeeefmeeef. What is prob of sequence fm?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31571, -31570, -31569, -31568?\nAnswer: -31567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j\/j**(2\/9)))\/(j*j**(-2\/5)))**15)**(2\/9))**24 assuming j is positive.\nAnswer: j**(-272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -4*o - 4, 5*o + 1 + 12 = 3*n for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l + 2. Let j be t(-2). Let y be (j - (0 + -3)) + (-32)\/(-28). What is the third smallest value in 3\/2, y, -2\/13, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 381\/10 - 77\/2. Let n = 2 + 6. Let o be 14\/4 + n\/(-4). What is the nearest to 2\/5 in -4, o, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2 - 3*o - 3. Let g be m(-3). Let f = g + 14. Let i = 72 + f. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 5*k**2 - k**2 + 2*k**2 + 2*k**2 - 3*k**2 + (5 - k**2 - 5)*(5 - 2 - 1).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8 + -19 + 17\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1036.4 and 18411.\nAnswer: 19081160.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 - 23a?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 6. Let v = 5122 - 5118. Solve -v = -r*c + 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 1, b: 1, h: 1, y: 1, n: 1}. What is prob of sequence hq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 444800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - h. Let g(y) = 2*y**2 + 8*y - 6. Let f(z) = -z + 1. Let j(l) = 6*f(l) + g(l). Let w = -11 - -13. Give w*i(a) + j(a).\nAnswer: -2*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -s - 2, -5*i = 4*s - 0*s + 5. Let c = s - 2. Let k be (-3 + (c - -9))\/1. Solve k = 4*m + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 433578.2 to the nearest 1000.\nAnswer: 434000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26547413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3 - (-2067)\/(-585)) + 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 1 - 1)*(-d**2 + 0*d**2 + 2*d**2) + (2*d - d - 3*d)*(-2*d**2 + 2*d**2 - d**2) + 39 - 39 + 6*d**3 to s*d**2 + g*d + y*d**3 + u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g. Let i(t) = 6*t. Suppose c = -4*c - 15. Let o be ((-14)\/8)\/(c\/12). Determine o*k(q) - 5*i(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 2753400*s + 631767630000.\nAnswer: 3*(s + 458900)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2233.\nAnswer: 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -436 - -438.27. Let a = b + -3.27. Let j = -5 + 8. Put j, a, -0.1 in decreasing order.\nAnswer: j, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1965968?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 4405714*a**2 - 2426291684080*a - 2426287278368.\nAnswer: -2*(a + 1)*(a + 1101428)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -3*w - 5*c + 157, 2*c - 10 = 0. Calculate the greatest common factor of w and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15138265 and 255858?\nAnswer: 90829590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 32 + 0 = 0. Let u be (-8 - -6)*(z - -3). Suppose i = -5*i - 6. Which is greater: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8601.549ml in litres?\nAnswer: 8.601549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7032*q**2 + 16*q - 40. Let z be f(3). Suppose 4*u = -22*l + 27*l + 63336, 4*u - z = -5*l. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4397, 4102, 3613, 2930, 2053, 982?\n\"Answer: -97*v**2 - 4*v + 4498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 10:26 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*g = -0*o - 3449, 0 = -3*o + 4*g + 2593. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*i + 67 = 3, -2*i - 30 = -2*f. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9064.722 to the nearest ten.\nAnswer: -9060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 63552 (base 14) to base 6\nAnswer: 5050032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2021*n + 1988*n - 2 - 867*n)*(5*n**2 - 3*n**2 + 0*n**2) in the form r*n**3 + d*n + x + v*n**2 and give r.\nAnswer: 6284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 4*l - f - 2867, -4*f - 748 = -l. Let g(n) = n**3 - 16*n**2 - 27*n + 13. Let o be g(16). Let p = o + l. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.345556ng?\nAnswer: 0.000000000000001345556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2035*u**2 + 195370*u + 960 = 0. Calculate u.\nAnswer: -96, -2\/407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -6*i + 3, 53*i + 4*l = 58*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2219398?\nAnswer: 2, 151, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p + 48*p = -232 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -988597247*q**5 - 42562677*q - 1?\nAnswer: -19771944940*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1055?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 178224 and 14?\nAnswer: 1247568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2 + (-21)\/(-15)). Suppose -f*o + 3*o + 10 = 0. Which is the closest to -2? (a) -5 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5 - 5106*c**4 + 1728850*c**3 - 195249600*c**2 + 8071788375*c - 62870613750 = 0. Calculate c.\nAnswer: -5431, 10, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/816 and 91\/8364.\nAnswer: 33456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. Suppose -p*g + 193 = 4*y, -3*y = 2*g - 80 - 64. What is the remainder when y is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 0*k**2 - k**2 + 3*k**2. Let a(x) = -21*x. Calculate a(v(h)).\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*p - 46 = 0, -5*t - 6*p = -4*p - 100. Let s(c) = 569*c + 279. Let n be s(0). What is the greatest common divisor of t and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 4, -5, -4, 1, -21, -26 in descending order.\nAnswer: 4, 1, -4, -5, -17, -21, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**2)\/g**(1\/4)*g**(1\/7)\/g*g**(-3\/4)*(g*g\/g**1)**(-1\/6)\/(g**(-2\/3))**43 assuming g is positive.\nAnswer: g**(429\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143 or -142?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6669484ug in grams?\nAnswer: 0.0000006669484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.203 + 1.203. What is the nearest to -2\/5 in -2, i, -57, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 6, 5, 1 in increasing order.\nAnswer: -8, -1, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6135152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 24*z + 50. List the prime factors of l(-23).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1770)\/200 + (-3)\/(-30) and ((-395)\/(-15))\/(4\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**6\/120 + j**3\/3 + 3. Let p(h) be the third derivative of a(h). Let n(l) = -2*l**2 + 0 + 0. What is p(n(c))?\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 3*u - u - 5 + 5 + (1 - 4 + 4)*(-1 + 1 + u) - 2 + 2 + 2*u + 1 - 1 - u + 4613 + 93*u - 4613.\nAnswer: 97*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 + 10*h**2 - 20*h + 263. Give u(0).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(343) + 1)**2 + sqrt(343))*4 + -4.\nAnswer: 84*sqrt(7) + 1364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 - -88. Solve -6*o - f*o = 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence caa when three letters picked without replacement from {s: 2, c: 6, a: 5}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 6:04 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 476\/(-77) + (-4)\/(-22). Let v(j) be the second derivative of -j**3\/6 + 5*j**2\/2 + 7*j. Is v(l) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 18054?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1572 = -12*l, -5*r - 461 = 2*l - 2973. Solve 2*s - r + 506 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -k**3\/5 - 6*k**2\/5 - 4. Solve c(b) = 0 for b.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/5)*a**(-3))\/(a*a*(a*a*a\/a**(2\/7))\/a*a**0*a) assuming a is positive.\nAnswer: a**(-249\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 18 = 3*b, 3*x = -4*b - 1 + 4. Solve -m - b*u = -8, -2*m - 2*m - 20 = -u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -9*t. Suppose -c - 2*c = -g - 58, -5*g = 4*c - 52. Solve -3*o - c = 3*m - t*o, m - 6 = 5*o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40.7 + -38. Let b = -3.3 - r. Let t = b - -5.3. What is t rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 753 divide 3069129357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 246 = 33*w. Suppose -w*s = -120*s - 66. Calculate the remainder when 86 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*m**3 - 12594*m - 170322.\nAnswer: 12*m**2 - 12594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q + 3*q - 3*q)*(13*q - 14 + 14) as t + b*q + v*q**2 and give v.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*12\/(9\/(-3)). Suppose 12 = -u + n*u. What is the third smallest value in -1, -1\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11682 + 8215. Let t = -38163\/11 - d. Calculate the common denominator of t and 66\/198 + 1 + 109\/(-30).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 442 = -5*g, -4*o - 652 = 3*g - 226. Let l = o + 211\/2. Which is the fourth biggest value? (a) -4 (b) l (c) -1\/10 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(45) + sqrt(45)*2 - sqrt(45)))\/(1*sqrt(18)\/sqrt(2) + sqrt(9)) + -4.\nAnswer: -4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1266.6.\nAnswer: 1270.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449.5053m to millimeters.\nAnswer: 449505.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381570134.\nAnswer: 2, 11, 17, 31, 32911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 9:05 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 1100*i**2 - 80660*i + 1971360.\nAnswer: -5*(i - 74)**2*(i - 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*y - 25, -3*y + 4*d = -0*y - 35. Suppose -y*s = -2004 - 3041. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-2))\/56*4)\/((-90)\/(-7)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*s - 5 = 2*y, -4*s + 8 = 4*y. Let a be 2\/(-2) - (-1 - 5). Suppose a*w = -25, -2*j + 0*j - y*w - 21 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -429 - -427. What is the smallest value in -13, d, 2\/13, 0.05?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 577b46?\nAnswer: 577b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/207*(-162)\/108. Sort -186, t, 5, 4, 2\/19.\nAnswer: -186, t, 2\/19, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 29\/5 of a microsecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, a: 8}. Give prob of picking 3 b.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 27*p**2 - 41*p + 21. Let h be a(25). Let w = h - 210. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 4*d - 12 = 0, 3*l - 3 = 4*d + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/15)\/(22\/3).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104062.\nAnswer: 2, 7, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(2 + (-68)\/8). List the prime factors of (2 + s\/(-12))\/((-3)\/(-36)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 184000 to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**5\/9 - 882352*a**4\/9 - 3529418*a**3\/9 - 5294132*a**2\/9 - 3529423*a\/9 - 882356\/9 = 0. What is a?\nAnswer: -1, 882356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 4*w**2 + 1.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 83785198?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*-6*3\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 435 divided by -5\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (79 + 1)*(60 + 32721\/(-546)). Suppose 0 - 62\/7*h**3 + k*h**2 + 30\/7*h**4 - 8\/7*h = 0. What is h?\nAnswer: 0, 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-2*j + 0*j - j)*((-j**2 + 5*j**2 - 2*j**2)*(-3*j + 3*j + 2*j) + 3*j + j**3 - 3*j - 6 + 6 + 4*j**3).\nAnswer: -54*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1225, -2450, -3673, -4894, -6113, -7330?\n\"Answer: m**2 - 1228*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 338833342 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1, 1\/3, -421 in increasing order.\nAnswer: -421, 2\/9, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 5. Let k be n(9). Suppose 22 = k*q + 2. Solve -3*d + q*d = 4*c + 30, -35 = -4*d + 3*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-1 + sqrt(1216)*-1 - sqrt(1216)) + 0 + sqrt(1216) + 2)*-5)**2.\nAnswer: -1200*sqrt(19) + 30625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 1:45 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17795652 divided by -8418?\nAnswer: 2114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 8 + 0 = -4*o, -2*y + 7 = 3*o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/63*3\/(-4). Sort -5\/4, s, 0 in decreasing order.\nAnswer: s, 0, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 1720. Let f(w) = 29*w**2 + 26*w - 1. What is k(f(t))?\nAnswer: 29*t**2 + 26*t - 1721","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -90\/11, -28, -5, -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 7*a - 12 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 17*n**2 + n + 22. List the prime factors of c(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 443664*g + 1330965.\nAnswer: 3*(g + 3)*(g + 147885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/133*5*(-63)\/(-18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -7*j**2 + 3*j + 9. Let f(h) = h**2 - 1. Let u(g) = 6*f(g) + q(g). Calculate u(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -1.7, -1.1, -1\/2, 0.1, -19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2816 and 0.028?\nAnswer: -78.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.9 - -8. Let d = l - 0.1. Let i = -33 - -234\/7. Which is the biggest value? (a) d (b) i (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u + 49. Let o(v) = -2*v + 17. Give 17*o(h) - 6*s(h).\nAnswer: 8*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2 + 20*b + 5. Let n(d) = -3*d**2 + 40*d + 10. Let p(j) = 3*n(j) - 5*q(j). Let y be p(-20). Is y*16\/20 + 229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 91*s**2 + 77. Let q(h) = 7*h**2 + 6. What is -6*g(f) + 77*q(f)?\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/211989 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l - 1. Let s be 1 + (-2 + 2 - 2). Let r be h(s). Let q be 0*2\/(-8)*2. Is r at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8a2 - -4516a?\nAnswer: 45a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyy when three letters picked without replacement from {y: 2, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 588 and 32.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u - 17. Let t(v) = -v**3 + 10*v**2 - 15*v + 5. Let r be t(8). Let b be 3 - (-8)\/((-40)\/(-15)). Let y(m) = 2*m + 8. Determine b*a(k) + r*y(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375525 is divided by 12481?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(3\/(-18))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57.6 - -59. Let l = 0.95 - z. Let v = l - 2.55. Which is the smallest value? (a) v (b) -0.1 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 137 - 177 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -30.3. What is the closest to -1 in 1\/6, s, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**9\/181440 - c**7\/15120 + c**5\/30 + 2*c**2. Let h(j) be the third derivative of l(j). Find i such that h(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/y**(3\/2))\/y)\/y**9)**(24\/5) assuming y is positive.\nAnswer: y**(-228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15376000 rounded to the nearest 100000?\nAnswer: -15400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 889663, 889518, 889277, 888940, 888507, 887978, 887353?\nAnswer: 886632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (1510920\/(-140))\/(-6) - (-2)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 532217 by -1.\nAnswer: -532217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162132 is divided by 1062.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phvz when four letters picked without replacement from {v: 3, p: 1, h: 1, z: 5}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-53)\/12)\/(-4*1). Let y = -4813 - -57809\/12. Let d = u - y. What is the common denominator of d and -45\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 194419 and 35417.\nAnswer: 64352689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22420 and 90220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**3 + 4*u - 10*u**2 - 2*u**4 - 2*u - 7*u**2 + 5*u**2 as k*u**3 + t*u + f*u**2 + b + m*u**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -101001221?\nAnswer: -101001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1544 - -1543.9999555. Round h to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3\/6 + 615715*p**2\/6 - 1231427*p\/6 + 615713\/6 = 0. Calculate p.\nAnswer: 1, 615713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*l**2 - 195475*l + 156681720.\nAnswer: 5*(l - 936)*(6*l - 33479)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*o + 7. Let q be (-9752)\/(-73290) + o\/30. Let b = q + 173465\/43974. Calculate the common denominator of -25\/2 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 13*u. Suppose 0 = -5*w + 5*v + 110, -w + 0*v - 5*v + 34 = u. What is the least common multiple of w and 28?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 12993?\nAnswer: 16\/12993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623004.\nAnswer: 2, 3, 193, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 8:07 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.85848 take away 4?\nAnswer: 49.85848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4\/3 - 572*k**3\/3 - 619268*k**2\/3 + 206612*k = 0. What is k?\nAnswer: -329, 0, 1, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-3*(24\/18)\/(-2). Suppose -12 = -b - r. Suppose b*t - 5*t + 39 = j, -t - 4 = 0. Is j bigger than 37\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 55, -15, 1 in increasing order.\nAnswer: -15, 0, 1, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3472 and 336.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 882758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64636584 is divided by 58?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91728)\/2184)\/((-1)\/(-1))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r = 170. Let z(k) = k + 53. What is the remainder when r is divided by z(-35)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 11:39 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23\/2 - -11. Let l = 8 + -2. Let z be (l\/(-4))\/(0 - 3). Which is greater: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = g + 4*o + 5, -o - 76 = -3*g. Put -0.3, 3, 4, g in ascending order.\nAnswer: -0.3, 3, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b - 14. Let j be g(11). Let m(v) = v**3 - 8*v**2 + v - 8. Let u be m(j). Suppose 5 = l, u*h - 51 = -3*h + 3*l. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*y + 32*y - 1710. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Suppose -a + 6 = r*a. Suppose 0*s - a*q + 12 = s, 5*s = 2*q. Solve -z - z = -s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10639371107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.5 + -0.5. Let a = 1.52 + -0.52. What is the fourth biggest value in -2\/11, b, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 + 8*g - 3. Let k = -154 + 147. Let r(y) = 8*y**2 - 9*y + 4. What is k*n(x) - 6*r(x)?\nAnswer: x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 0) + 1 + 272 + -277.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**4 + x**3 + 10*x**2 + 8*x - 9. Let v(t) = t**2 + t - 1. Suppose w = -2*f + 35, f + 3*w - 9 = 6. Let j(b) = f*v(b) - 2*c(b). Factor j(d).\nAnswer: 2*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.1, -6.6, -1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 725883?\nAnswer: -362941.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/30*((-6)\/9)\/2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-28*(-11 - 312\/(-32)). Which is smaller: a or 121?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + s - 2. Let w be g(1). Let v(n) = -14*n + 14*n + n**w. Let o(h) = -19*h. What is v(o(l))?\nAnswer: 361*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97065 or -97064?\nAnswer: -97064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 187 + -186. Sort -22, -4, r in decreasing order.\nAnswer: r, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -2 - -1 - 3. Suppose 3*r + 5*j - 12 - 36 = s, 0 = -j. Find z, given that -20 - 14 - 2*z**2 + 2 + r*z = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -601*x - 6010. Let d be v(-10). Let r = 33.1 + -33. Which is the second smallest value? (a) d (b) r (c) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 13*n**2 + 42*n + 9. Give m(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/5252 + 7877\/5252. Which is the fourth biggest value? (a) o (b) 1 (c) -0.05 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -357 divided by 1\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = 6*m + 547. Suppose -4*c - m*l = -16, 5*c - 10*l + 9*l = 13. Let b be -3*(-6)\/(-9)*8. Sort c, -2, b in ascending order.\nAnswer: b, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by 40\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 3*y**2 + y. Let r be j(3). Suppose 104 = g - 5*p, 226 = r*g - g - 4*p. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 795391 and 7073?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 0*k**2 - 2*k - k**2 - 3*k. What are the prime factors of c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 722\nAnswer: -1\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - -12 - 2*(-3)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 2. Let n be g(7). Suppose -n*u - 3*x + 136 = 0, 2*x = 2 + 2. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**2 - 20*s**2 - 1 + 34*s**2 + (2*s + s - 2*s)*(-s - s - s).\nAnswer: 10*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13787 and 2771?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 9*v**2 - 4*v - 21. Calculate the remainder when 59 is divided by p(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55321\/4185 + -359\/27. Find the common denominator of b and 31\/10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.4677466 to 1 decimal place.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from ididdiididddiddiiii.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3040?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.5 - 4. Let j = f - -13.5. Let q = j - 12. Is -4\/3 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.35674178 to three dps.\nAnswer: 40.357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**21*h*h*h)\/h**(1\/2)*(h\/h**(-7\/6))\/(h*h**33) assuming h is positive.\nAnswer: h**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 + 296*u + 134. Let j(y) = -4*y**2 + 296*y + 132. Let q(v) = 6*h(v) - 7*j(v). Determine b, given that q(b) = 0.\nAnswer: -2\/5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(-2)*-88*33\/(-3993).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15111990169 to 3 dps.\nAnswer: 0.151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-2\/105)*d)\/(d\/(d\/d**(-38))))**44 assuming d is positive.\nAnswer: d**(184712\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - -8. Let k = s + -3. Let o = 15 - k. Solve -o*m = 2*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**3 - 2*p**2 + p - 1. Let c(f) = -17*f**3 + 8*f**2 - 4*f + 3. Calculate 2*c(h) + 9*v(h).\nAnswer: 2*h**3 - 2*h**2 + h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -22*i - 14*i - 9*i + 14*i + 2*i. Let a(k) = -6*k**2 + 4. What is a(f(l))?\nAnswer: -5046*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1577, -1271, -971, -677, -389, -107, 169?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -47*a**3 + 13*a**2 - 13*a + 13. Let o(c) = 8*c**3 - 2*c**2 + 2*c - 2. Suppose 3*r + 204 = 5*y, -10*y = -9*y - 4*r - 51. Determine y*o(f) + 6*x(f).\nAnswer: 30*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-240)\/(-20))\/(-12)*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6904836.\nAnswer: 2, 3, 191801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.00495.\nAnswer: 0.00495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d26 + -1159?\nAnswer: -5081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**3\/3 - w**2 + 5*w. Let p be t(-1). Suppose -z = -p*z - 6. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -853 - -858. Solve -3*g + 7*g + 4*o - 24 = 0, w*o = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 2. Let w(j) = -2*j - 5. Calculate 5*p(y) - 3*w(y).\nAnswer: y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*l = 14 - 122. Solve -l*f = 2*m + 10, -4*m + 3*m = -4*f - 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 637 + -4?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31\/6, 0.5, -1\/3, 1388 in decreasing order.\nAnswer: 1388, 31\/6, 0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + -4.4. Let v = 2 + h. Suppose -3*g + 4*a = 15, 5*a = 9*a. What is the biggest value in -3, v, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -4*w - 40. Solve w*z = -18 + 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50, 181, 538, 1235, 2386, 4105, 6506, 9703?\n\"Answer: 19*f**3 - f**2 + f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -9*a**3 + 3*a**2 + 3*a + 2. Is 17 a factor of m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 44 (c) 5 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 16*f + 3. Suppose 0 = b - 5*s + 3, -b + s - 4*s + 13 = 0. Suppose 15*k + 108 = 101 - 68. Let w(g) = 11*g + 2. What is b*w(n) + k*o(n)?\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70.4 + 68.4. Sort n, -0.5, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -222 + 221.8924. What is l rounded to 3 decimal places?\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/25 + 212*x**3\/25 + 38576*x**2\/25 - 15556*x\/5 + 38994\/25 = 0. Calculate x.\nAnswer: -97, 1, 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/8 and -19\/32359623.\nAnswer: 258876984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 6*n + 9.\nAnswer: -3*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 66, 27, -4, 0, 2.\nAnswer: -4, -2, 0, 1, 2, 27, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -82*q + 9364. Calculate h(114).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -10*i + 9*i. Suppose -11*b + 168 = -96. Calculate the remainder when i is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32 + 2913*b - 19 + 51 to x*b + d and give x.\nAnswer: 2913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 147?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1704 + -1708. Let k(f) = f - 2 + 3*f + 1 - 5*f. Determine k(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**4 + 145*j**3 - 275*j**2 + 135*j = 0 for j.\nAnswer: 0, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 7, g: 5, h: 2, k: 1}. What is prob of sequence kz?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 - 6.6. Let d = 5326 - 47932\/9. What is the second smallest value in d, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) - 110\/(-6). Suppose h + 4*r = s, 5*r = -h - 0*r + 20. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68628.18 millimeters in kilometers?\nAnswer: 0.06862818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*g = 16, -7*g + 3*g = -3*y + 52. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991014522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u + 4. Let v be m(-6). Let k(b) = -b**3 - 7*b**2 + 5*b - 24. Let w be k(v). Sort 1, 5, w, 4.\nAnswer: w, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 5 = 2*r, -17 = 21*r - 16*r + 4*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 443848\/(-8144) - (-3)\/2*(-7 - 0).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70468 by 1.\nAnswer: -70468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 90\/23 (b) -5 (c) -0.1 (d) 1\/279 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -37.96 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1353647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/((-171)\/504) - 8\/2. Suppose b*q = 61*q. Solve 2*w - 4*o + 10 = q, 5*o - 9 = 2*o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-189)\/252)\/((5\/4)\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 659815305 minus -0.4?\nAnswer: 659815305.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29412 in 0.1, 4, 0.4, -0.4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5512 in 0.4, 6, -1, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 7. Let y(i) = -i**3 - 4*i**2 + 1. Let z be y(-4). Put z, 5, k in ascending order.\nAnswer: k, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**5\/30 - i**4\/4 + 3*i**2. What is the lowest common multiple of k(4) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*(4 + 39\/(-12)). Let d be 6 - j - 0\/2. Is -5 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 66.96 and -4.2034.\nAnswer: 62.7566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (6 - (0 + -4 + 21))) + -1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14705967 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 + 18*i + 5. Let h be s(9). Is h\/(-2)*1136\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, q: 1, t: 1, m: 1}. What is prob of sequence tqmo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5*j**4 + 2*j**3 + 13*j**2 + 6. Let a(r) = r**4 + r**3 + r - 1. Let i(p) = 6*a(p) + t(p). Solve i(v) = 0 for v.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.1 - 6.18. Let u = 272.6 - 269. Let o = u - q. What is o rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -3, 5 in ascending order.\nAnswer: -8, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6042 + -4102. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22482 and 1?\nAnswer: 22482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5 = -n - 0, 5 = -n - 3*t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/16)\/k*k*(k\/((k\/(k*k**(-17)\/k*k))\/k)*k)\/k assuming k is positive.\nAnswer: k**(-239\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 w when three letters picked without replacement from hwfwfffwwhnrhxf.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50589700 is divided by 4752.\nAnswer: 4660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Let m(t) = -14*t**2 - 7. Let n(x) = 7*x**2 + 3. Let w(r) = 6*m(r) + 14*n(r). What is u(w(f))?\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**5\/20 + 11*a**4\/12 + 10*a**3\/3 + 2*a**2 + a. What is the units digit of d(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 - 10a?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 505 = f, -5*z - 4*f + 474 = -2052. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4833 divide 1630721587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2994 from 0.3.\nAnswer: -2993.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 2, x: 4, e: 2, d: 3}. Give prob of picking 2 d.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 0.4669134.\nAnswer: -0.0330866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*y + 1501 = 0, -2*j - 5*y = -460 - 323. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 151.9, 1 in descending order.\nAnswer: 151.9, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 634 - -1926. Calculate the remainder when 424 is divided by 20\/(-180) - n\/(-36).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -11*r. Let l(q) = -113*q**2 + 20*q. Let c(u) = 5*u. Let o(m) = -12*c(m) + 3*l(m). What is o(x(z))?\nAnswer: -41019*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3131321670 - -1810266084. Let k = 1321056172.000239 + t. Let i = k + -586. What is i rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/5 (b) 0 (c) 3 (d) -271\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146.2*1980.\nAnswer: 289476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1995*x + 7951*x + 321624 = 0 for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**9\/252 + 27*t**8\/28 - 137*t**5\/60 + 1120*t**2. What is the third derivative of d(o) wrt o?\nAnswer: -240*o**3 + 19440*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z - 12. What is c(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.02, 5, 1, 80, -4.\nAnswer: -4, 0.02, 1\/4, 1, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 3*o - 2. Let y be t(-2). Suppose y*k = 3*k - 15. Suppose -4 = -k*a + 3*a. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 50, 79, 112, 149?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from vvzvzvgvxvzvxzvzzgz?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1096 - -131815?\nAnswer: 130719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 255 + -253. Solve -7 = -4*z + 3*z + i*q, 4*z - 16 = -4*q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.83 + -20. Let q = z - -1.17. Put 0, -1\/6, q in increasing order.\nAnswer: -1\/6, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/(-1) + 3)*-1. Let r be (-9)\/(-12) - g\/(-8). Let k be -1*4\/(-18)*r. Which is greater: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 750325320 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451430321?\nAnswer: 73, 6183977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 953909 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2024 to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4 + 0*i**2 + 2*i + 2*i + 0*i**2 + 4*i**2. Does 10 divide m(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26173.6 grams?\nAnswer: 26173600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15337456 is divided by 3878.\nAnswer: 3844","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2985691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/7 (b) 0.195 (c) -5 (d) 5 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 11 = -4*p + 3*j, 7*p - 2*p - 1921*j + 1925*j = -24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1813)\/148*(-68)\/(-969) and 41\/336?\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(228) - (sqrt(228) + (1*sqrt(228) - sqrt(228)))))\/(1*sqrt(768)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3796*f + 6653*f - 82853 = 0 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1837855.\nAnswer: 2\/1837855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**3\/3 + 9*q**2\/2 - 16*q + 1. Let h be f(-11). Solve -k + h = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223301211 (base 4) to base 9.\nAnswer: -302853","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20753850.\nAnswer: 2, 3, 5, 13, 29, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 138*v. Let x(w) = w**2 - 4*w. Determine j(x(q)).\nAnswer: 138*q**2 - 552*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -352, 1, -2 in descending order.\nAnswer: 1, -2, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1394820714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from gfpgii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 792 * -7\nAnswer: -5544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 1 + 26. Suppose -4*b = -13 + u. Factor 106*i**2 - 82*i - 136*i**b + 22*i - 28 - 12 - 5*i**3.\nAnswer: -5*(i + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + 17*y - 116. Give w(-23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -197, -413, -637, -869?\n\"Answer: -4*o**2 - 204*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8*q**3 + 52*q - 23. Let t(j) = 3*j**3 - 17*j + 8. Let v(y) = 7*t(y) + 2*w(y). Suppose v(g) = 0. What is g?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1113 = 57*l + 380 - 863 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6.251149 nanograms?\nAnswer: 0.000000000000006251149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, j: 8, m: 1, r: 1, f: 3, y: 3}. What is prob of picking 1 t and 1 y?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43674603*l**3 - 2505963*l**2 + 15*l wrt l?\nAnswer: -262047618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -191 + 216. Suppose -k - 7 = -21. Calculate the remainder when d is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -72.5. Let z = -37.989 + -0.211. Let t = z + 38. What is the nearest to t in -1\/2, k, -0.6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84199 is divided by 191.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 508520097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4203 - 2377. List the prime factors of x.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2599 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*b**2*s**4 + 1244*b**2 - 17*s**4 - 2*s**2 wrt s.\nAnswer: -648*b**2*s - 408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 325600 = 9*q - 3*y, -2*q + y - 162800 = 0. Round q to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 16, i: 4}. What is prob of sequence gi?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123795927*z**3 + 24387448*z**2 wrt z?\nAnswer: -742775562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -6. Let k(q) = 2*q + 0 + l. Let p(z) = z. Let j(r) = 3*k(r) - 7*p(r). Let c(x) = 4*x**2. Give j(c(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 41*f**2. Let w(n) = 8*n. Calculate i(w(g)).\nAnswer: 2624*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -13 + -2 - (-864)\/96. Let p(k) be the third derivative of k**4\/8 + k**3\/3 + 7*k**2. What is p(b)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**5 - q**2 - q + 1. Let h(b) = 12*b**5 + 14*b**4 + 36*b**3 + 30*b**2 + 6*b + 10. Let o(t) = h(t) - 10*p(t). Factor o(v).\nAnswer: 2*v*(v + 1)*(v + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 8:12 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521*w + 523*w + 20 = -9*k, 3*w + 7*k = -43 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*m + 3*d + 1043, m + 357 = d. Let u = m - -544. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41\/489, 1, 0.57 in increasing order.\nAnswer: -41\/489, 0.57, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -2 + 2)\/(-1). Suppose 2*d + n = 3*d. What is the second derivative of q**2 - d*q**2 - 3*q + q wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264e4 (base 16) to base 11.\nAnswer: a7977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -306*g**2 + 3*g + 317. Let d(w) = -w**2. Give q(d(z)).\nAnswer: -306*z**4 - 3*z**2 + 317","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, d: 1, u: 1, r: 1, w: 5}. Give prob of sequence ued.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3982700 times 10?\nAnswer: -39827000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13396 or -2556?\nAnswer: -13396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1180*z**4 - 192545*z**3 + 2015590*z**2 + 1667195*z - 539760 = 0.\nAnswer: -173, -1, 1\/4, 624\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 14 = z. Let m be ((-11)\/22*z)\/(2\/(-14)). Solve -m*u + 0*u = 35 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8411930*f**4 - 3*f + 901390.\nAnswer: -100943160*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -147\/2 (b) 12 (c) 0.1 (d) 0.6 (e) -6 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from citkti.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/4 + 1\/(-2). Suppose 0 = t*a - 2*a - 141. Suppose 2*s - 9 = 23. Calculate the remainder when a is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -4.8259?\nAnswer: 2.89554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323 + 331 = 3*h - 2*o, 12 = 5*h - 2*o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 393938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50.99478 + 51. What is c rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**3*m**3*r**2 + 8*l**3*r**2 - 2*l**2*m**2*r**2 - 441*l**2*m*r + 14017*m**3*r**2 - 3*m*r**2 wrt m.\nAnswer: -6*l**3*r**2 + 84102*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -763, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363138 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1171.5 + -1171. Put -3\/5, 18, z, -4 in decreasing order.\nAnswer: 18, z, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.5 - -17.6. Is q at most -360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0.3 (c) 0.2 (d) -0.057\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32, 61, 96, 131, 160, 177?\n\"Answer: -h**3 + 9*h**2 + 9*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17329226219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2471)\/189 + (-140)\/(-1890)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3794*f**5 - 1609*f**4 + 31*f**2 + 11619213*f wrt f?\nAnswer: 227640*f**2 - 38616*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12685965.\nAnswer: 3, 5, 109, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -11*n - 153. Let o be u(-10). Let p(m) = m**2 + 13*m + 5. Let s be p(-7). Let h = o - s. Is -8 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -16. Suppose -t + 4*n = t + 12, -4*n + 26 = w*t. Suppose 2*s - y + 89 = 7*s, 0 = s - 4*y - 22. Calculate the highest common divisor of s and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(95)*-1)\/(sqrt(315)\/sqrt(7)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7439 (base 13) in base 15?\nAnswer: 4b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 11*t**2 + 142*t + 15. Give p(-11).\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**(-3\/4) assuming p is positive.\nAnswer: p**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102112121 (base 4) to base 8.\nAnswer: 1222631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 33*x - 24 = 0. Let u(q) = -2*q**3 - 11*q**2 - 7*q + 4. Let b(r) = r**3 + 6*r**2 + 4*r - 2. Calculate x*u(h) - 7*b(h).\nAnswer: h**3 + 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/72 and 11\/120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096465621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16914 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**2 + 4*g**2 + 2*g**2 + 6*g**2.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 85087.105 to the nearest 1000.\nAnswer: 85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -21*a**2 + 18*a + 18. Let g(l) = -l**2 + l + 1. Let y(v) = 18*g(v) - t(v). Let x = 194 - 192. Let p(z) = -20*z**2 - 21*z**x + 38*z**2. Give p(y(r)).\nAnswer: -27*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -72055174, -144110350, -216165526, -288220702, -360275878?\n\"Answer: -72055176*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 52.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (341 - 91 + 132)*(-28*k - 63 + 63)*(-3*k**2 + 6*k**2 - k**2).\nAnswer: -21392*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 7*c + 20 = 0. Let f = -0.5 - -0.3. What is the third biggest value in f, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -12, 4*v + 5*f - 3*f - 34 = 0. Suppose v*o = 9*o - 58. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**7\/3780 - i**6\/1620 + i**5\/540 + i**4\/108 - i**3\/6 + 11*i**2. Let p(u) be the first derivative of x(u). Factor p(f).\nAnswer: -2*(f - 1)*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -576 less than 242410?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14025 and 29554635.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 152246664 a multiple of 428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 348 + 3553. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 446*m**3 - 2*m + 2. Let x(d) = 1784*d**3 - 9*d + 9. Determine 9*g(o) - 2*x(o).\nAnswer: 446*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(15\/(-36)) - (-122 + 130). Let b be 1 - (-1 + 3 + 1). Put k, b, 6 in ascending order.\nAnswer: b, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 11 - 2 = 0. Let r be 1\/(((-3)\/2)\/v). Let q(n) = n - 3. Let g be q(8). Which is the nearest to -0.1? (a) -0.4 (b) r (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 0 - 2*k + 8 - 4. Let v be c(5). Let h be 2\/(54\/(-105)) - (-26 + 23). Is v not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 360 + -1501\/4. Suppose 4*f + 148 = -4*i, -f - 197 = 5*i - 0*f. Find the common denominator of 932\/i - (-2)\/(-10) and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 176 or 10951\/62?\nAnswer: 10951\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7743283 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 561683889 and 1053.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2610 divided by 90.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -13. Suppose 0 = -x*u - u + 165. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 plus 87368.627318?\nAnswer: 87368.497318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/3)\/(0 - (-12)\/36). Let z(g) be the second derivative of 0 + 0*g**4 + 8*g + 1\/20*g**i + 0*g**3 + g**2. What is the derivative of z(r) wrt r?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 666*c + 666*c.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r\/((((r\/(r\/(r\/(((r*r**(7\/4)*r)\/r)\/r)*r)*r))\/r)\/r)\/r)))\/(r*r**(2\/9))*(r**(2\/5))**(1\/4))**(1\/12) assuming r is positive.\nAnswer: r**(-1057\/2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3510 + 5113. Suppose l + 3923 = 18*h. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 4\/164159801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: Is 4902345 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2409021 and 7?\nAnswer: -1.6863147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -115.81 times -15.5\nAnswer: 1795.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 178?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c - 2*c - 5*c + 0*c - 2*c + c + (0 + 2*c + 0)*(-3 - 4 + 6) - 21 + 11 + 14 - 4*c to q + n*c and give n.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (11 + -64 - -66) - (126 + -2)?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96725104.\nAnswer: 2, 7, 17, 37, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-1)\/36*2). Suppose 0 = 3*q + l - 120. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 50346351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002756 to seven dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 1\/5 (b) 5 (c) -2 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -1 + 4 - 2. Let y be (-3)\/(-12) - 27\/(-4). Suppose -y*x - 30 = -2*x. Let n(v) = v - 4. Give x*p(b) - n(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9964 - -10892. Calculate the least common multiple of 203 and z.\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15435 - -2.84565. Let m(x) = -x**2 + 7*x + 5. Let j be m(8). Let d(g) = 2*g + 1. Let i be d(j). Sort n, i, 7 in ascending order.\nAnswer: i, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 9. Let z be y(7). Let q be (-1)\/(-3) - 25\/3. Let w = -6 - q. Solve -w = z*s - 3*n - 10, 0 = -5*n - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3 - (7 + -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/30 - 2 - 14\/(-35)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 t, and 1 j when three letters picked without replacement from {m: 2, h: 1, t: 5, f: 2, j: 5, u: 1}?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37516, 37517, 37518?\nAnswer: 37519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*c. Let a(l) = -l**2 - l + 13. Calculate a(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/16 and -97\/20410016?\nAnswer: 20410016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 9:09 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 58*m + 6894. Determine z(-119).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -8. What is the third derivative of -4*c**2 + 4*c**o - 9 + 9 wrt c?\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-12)*2 - (-604)\/8. Let o(n) = 47*n - 604. Let l be o(17). Calculate the greatest common divisor of l and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2*11)\/((-14896)\/1864 + 8). Suppose 4*q = -7*a + 6*a + 505, 0 = 5*a + q - w. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -27*v**2 + 17*v - 12. Let g(i) = -41*i**2 + 25*i - 22. Give -5*g(m) + 7*u(m).\nAnswer: 16*m**2 - 6*m + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -9*d - 11. Let f be w(-1). Which is greater: f or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d = 10*d + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.205926 - 0.014075. Let j = i + 0.22. What is j rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9173792 to the nearest integer?\nAnswer: 3029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761288397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 30*r + 4. Let v(w) be the third derivative of w**5\/60 - 24*w**2 + 2*w. Determine d(v(x)).\nAnswer: 30*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55920826097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1700000 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 5 + 0)*(-2 + 3 + 0) - 3 - 10 - 9 + 4 - 5 + 10)*(-g - 2*g + 5*g).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - (-38 + 94)) + -22.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1522 divide 38666410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a**2 + a. Determine v(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2378 or 2399?\nAnswer: 2399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2028 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39618?\nAnswer: 2, 3, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 0.3 (c) 2\/11 (d) 642\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27.63 and -8.3.\nAnswer: 229.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/((a*(a*a**6)\/a)\/a)*a)*a)**(-2\/19) assuming a is positive.\nAnswer: a**(-12\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53111 (base 6) to base 10.\nAnswer: 7171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4579 - -4579.114. Which is the second smallest value? (a) -1\/3 (b) 0 (c) 5 (d) 3\/4 (e) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*r, -41*d + 37*d + 3*r = 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 307 - 299.16. Is v >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1612347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.71558 and 0.71?\nAnswer: 0.5080618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3436)\/(-14) + 3 - 24\/56. Suppose 250*q = w*q + 100. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -438*i - 14. Calculate m(-3).\nAnswer: 1300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*p - 2*p + g, 5*p + 3*g = 15. Factor 4*y**2 + p - y + 5*y - 30.\nAnswer: 4*(y - 2)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p + 25 = 27*p. Solve 2*j + 2*s = 4, -3*j + 19 = -5*s + p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 11:41 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0251 minus 1203.282?\nAnswer: -1203.2569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -9*d**2 + 10*d - 5. Let u(i) = -i**2 + i - 1. What is -6*u(r) + w(r)?\nAnswer: -3*r**2 + 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 30*s - 29.\nAnswer: -(s + 1)*(s + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1376 and 280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8846*k + 1 + 7 - 8.\nAnswer: 8846*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1088 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 25. Suppose -4 = 3*m - 5*m, -4*x + 4*m = -32. Does 4 divide d(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 292 = 3*p, 23*p = 20*p - 5*g + 332. What is the highest common factor of p and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122 is divided by 435.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -9*z. Suppose -12*w = -w + 77. Let r(l) = -4*l. Let c be 3 - 0\/((-3)\/1). What is c*q(j) + w*r(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8134 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = m + 5, -2*m = 5*u - 5*m - 15. Put 2, u, 3 in descending order.\nAnswer: 3, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4001*a + 3624881. What is l(906)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 8:22 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 1\/10*r**6 - 3\/10*r**5 + 26*r - r**4 + r**3 + 9\/2*r**2 + 8. Let h(o) be the first derivative of q(o). Factor h(y).\nAnswer: 3*(y - 3)*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 1\/14*f**7 + 4 - 11\/25*f**5 + 0*f - 84\/5*f**4 + 7\/10*f**6 + 26*f**2 + 288\/5*f**3. Factor q(u).\nAnswer: 3*(u + 4)**2*(5*u - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -12*k**3 - 633*k**2 - 5032*k - 36. Determine q(-43).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21038078 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, -32, -171, -438, -875?\nAnswer: -1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 369 and 126.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29673 divided by 3?\nAnswer: 9891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 89697 + 4\/14*(-217)\/62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -30, 3, -4, 1 in ascending order.\nAnswer: -30, -4, -0.06, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**7\/840 - 11*o**6\/96 + 323*o**5\/80 - 4693*o**4\/96 - 6859*o**3\/12 - 69*o**2 - 26*o. Determine u, given that m(u) = 0.\nAnswer: -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-2)*(-6372)\/(-48321)*-13.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168136226 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/153 and 59\/36?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.83725817 + 6742\nAnswer: 6743.83725817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 2*k - 6. Let t = -3 - 4. Let w(v) = -v**2 + 2*v + 7. Let y(j) = t*u(j) - 6*w(j). What is the second derivative of y(x) wrt x?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i + 46. Let r be u(-25). Let t = 149 + r. What is the greatest common divisor of 220 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*12\/20 + (123 - 0). Let d = 125 - b. Solve 10 - 5 = d*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9453\/274*-3*(-10)\/45.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 168 - 91. Suppose t*v - 2070 = 74*v. Suppose 20 = -4*p, -2*p - 211 = 3*w - v. What are the prime factors of w?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220394 and 526?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*2684\/671*(-6)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 9:55 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*s + 82 - 70 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48477680 and 360?\nAnswer: 436299120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25203 + -5?\nAnswer: 25154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -67. Sort -6, -66, p in ascending order.\nAnswer: -66, -6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78.1 - -77.1. Let l = 0.139 + -5.139. Which is the third biggest value? (a) l (b) g (c) 2.7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1000*m - 506*m - 89*m)*(-1 - 3 + 3) in the form p*m + u and give p.\nAnswer: 1595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 3*m**3 + (m**2 + 2*m**2 - 2*m**2)*(-4*m + 6*m + 7*m) + m**3 + m**3 + m**3.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*q = 155*q - 15895 for q.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p + 10303 - 3865 = 0. Suppose -p*j + 181*j = 2457. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1479*i - 5540 = 938*i + 5821 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -2*d - 2*d. Let i = -14 - d. What is the second derivative of p + i*p**4 - 4*p**4 + 0*p**4 wrt p?\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255 by -16.\nAnswer: 255\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**3 + 51*h**2 + 709. Let s(g) = -2*g. Determine n(s(l)).\nAnswer: 12*l**2 - 204*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**2. Let t(i) be the second derivative of -i**6\/720 + 19*i**4\/12 - 2*i. Let v(l) be the third derivative of t(l). Give v(k(b)).\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6679*v*w + 83*w + 26 wrt v.\nAnswer: -6679*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-20)*3*28\/21. Suppose -4*x + 2*x = -4. Let c(f) = 1 + 0*f - f + x - f**2. Give c(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 2\/5, -1079 in descending order.\nAnswer: 2\/5, -2, -4, -1079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 + 10*w - 5. Let q(z) = -5*z**2 - 11*z + 5. Let c(d) = 6*a(d) + 5*q(d). Let g be c(2). Solve g = 5*j - 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a91 - 668a?\nAnswer: -722b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/54 and 19\/5886?\nAnswer: 5886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + s**2 - s - 2. Let n be h(0). Let q be 5\/((-20)\/12) + n. Let z be q\/10 - 367996\/8. What is z rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + 23310101?\nAnswer: 23310103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 86 - 23 = 5*u, -3*p + 21 = u. Calculate the highest common factor of u and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1018 - 1014. Let k(p) = -p - 7. Give k(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1695285706.\nAnswer: 2, 89, 9524077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 99*h**2 - 131*h - 1518. What is the thousands digit of f(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15547224.4 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -6 - 9) + (51 - (10 - 13 - -15))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q*r**3*u - 8223111*q*r**3 - 2*q*r**2 - q*u + 12*r**3*u + 13*r**2 + 455240*r*u wrt r?\nAnswer: -12*q*u - 49338666*q + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.01, 3 in decreasing order.\nAnswer: 3, 0.3, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 0*a + 1\/6*a**3 - 27\/160*a**6 + 39\/80*a**5 + 0 - 5\/12*a**4 + 7*a**2. Factor v(k).\nAnswer: -(k - 1)*(9*k - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*v + 3*v, -2*v - 626 = -4*b. Let f be b\/(-232) - (-1)\/1. Let w = 2\/29 - f. Do w and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78770, 78777, 78784?\nAnswer: 78791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.45*4001.\nAnswer: -1800.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2508377, -5016751, -7525125?\n\"Answer: -2508374*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -351 divided by 117.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u + 0*u + 4*u)*(2*u**3 - 2*u**3 - 4*u**3) + 0*u**3 + 0*u**3 - 2*u**4.\nAnswer: -46*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n - 7. Let f(b) = 16*b**2 + 10*b - 10. Let g(v) = -7*v**2 - 4*v + 4. Let i(a) = 4*f(a) + 10*g(a). What is i(z(u))?\nAnswer: -24*u**2 + 168*u - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 5:01 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - (-3)\/1)*1. Let z = n - -3. Solve -2*h + 2 = z*d - 6, -d - 3*h = -6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 544\/(-6) + 53720\/8058?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a**2 + 2. Let q(b) be the third derivative of b**5\/120 - 8*b**3\/3 + 33*b**2. Let o(m) be the first derivative of q(m). Determine o(x(f)).\nAnswer: 9*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61442 - -1207?\nAnswer: -60233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -52?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 929807 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 374620617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(495)*-2)\/sqrt(11))\/(-2*(sqrt(108) - sqrt(108)*2)\/sqrt(12)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 14316 = 4054. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (7 - -2) - (6 - -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 30*h**2 + 2*h - 3. Suppose o - 3 = -3. Let u be 65\/9 + ((-6)\/27 - o). Is y(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3143084*l**3 + 1909*l**2 + 101*l.\nAnswer: 18858504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 2*o**2 + o + 4. Let j be y(-1). Suppose 0*c - 3*b + 36 = 3*c, 5*c + b - 72 = 0. Solve 7*r - 4*q = j*r - 15, -c = 5*r - 5*q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67480080 and 87724104.\nAnswer: 877241040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/63 - (-13 - 4176\/(-324)). Let m = 1.77 - 2.1. Which is the closest to 2\/7? (a) s (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436637088.\nAnswer: 2, 3, 505367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*y - 6. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 2, -84, 198?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -3, -17, -31 in descending order.\nAnswer: 3, -3, -4, -17, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 - 5.5. Let g = -4 + q. Let z = g - -8. Which is the smallest value? (a) z (b) -3\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(4 - 2 - 1) + 1 + 1 - 3 + 4 + 3 - 4 - 1 + 1 - 2 + 3 + 0 - 4 + (-1 + 6 - 4)*(2 - 3 + 2) - 5 + 1 + 3 - 1 - 2 + 1)*(4*k + k - 4*k).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*h + 4*a + 93, 102 = -4*h + 2*a. Let m = 32 + h. Suppose -4*q - 940 = -m*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 3. Let n be w(0). Let s be (2 - 4)*n\/(-2). Solve 18 = -2*a - 4*k, -s*k - 5 = -4*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.038 - 2.138. Let o = n - -3.2. Round o to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -123, 4, -39?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.07984102 + -93014.59\nAnswer: -93014.66984102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 146*r**3 - 24*r**2 + 11*r - 431. Let p(v) = 73*v**3 - 13*v**2 + 6*v - 215. Let l(d) = -11*p(d) + 6*t(d). Differentiate l(y) with respect to y.\nAnswer: 219*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -58 - 82*h + 23 - 12. What are the prime factors of i(-10)?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1263359365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + -27 + 62 + 1 + 32.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 4:49 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.049 - 0.049. Let l = 78.99 - 79. Which is the nearest to s? (a) -0.4 (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38428 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 81*y**3 - 3*y**2 + 5*y. Let i be -3 + 216\/(-162)*(-6)\/4. Let b(u) = -u**3 + u**2 - u. Determine i*r(l) - 5*b(l).\nAnswer: -76*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/6750 and 143\/4333500.\nAnswer: 4333500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -5)*3\/(-6). Let x = 0 - -3. Suppose -a*d = -3*b + 2*b + 1, x*b - 17 = -d. Solve 4*c = -c - b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnnnbnn. Give prob of sequence bnbn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105.34 - -275.66. Sort 1, -1\/6, a in ascending order.\nAnswer: -1\/6, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 9*o**2 - 3. Let a be v(-3). Find the second derivative of -2*r**2 + 175*r - 35*r**5 + 113*r + r**2 - a*r - r**2 wrt r.\nAnswer: -700*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, w: 3}. Give prob of sequence wvwv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 1116*k**2 - 179010*k + 6242400.\nAnswer: -2*(k - 255)**2*(k - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -256420, -255746, -255074, -254404, -253736, -253070?\nAnswer: -252406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0092 from 25.\nAnswer: 24.9908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -15*s - 30. Let b(w) = 16*w + 31. Let x(l) = 5*b(l) + 6*k(l). Let d be x(-10). Let m be (8\/10)\/(10\/d). Solve 3*h + m = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -34*t**2. Let v(g) = 30*g**2 + 6*g - 36. Let h(i) = -91*i**2 - 17*i + 102. Let n(q) = -6*h(q) - 17*v(q). Give o(n(d)).\nAnswer: -44064*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = 0, 9006 = -4*s + 4*u + 1342. Let y = -47 + -104. Let v = s - y. What is v rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3*q*v - 600*g**3*q - 2*g**3 + 260742*q*v - 426*q with respect to v.\nAnswer: -2*g**3*q + 260742*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 4 = -4*x - 19*p, -14 = -4*x + p. Solve -4*u + 5*u + x*l = 0, 2*u - 2*l = -12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 3 + -1)*4. Suppose -39 = -7*c - h. Solve 5 = 5*z - c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.7 (b) 2\/7 (c) 3\/2 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 43414 (base 11) to base 12\nAnswer: 305a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - c + 20 = 3, 5*m + 198*c - 101*c = 100*c - 18 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -788027 (base 12) to base 15\nAnswer: -27e547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2 - 5*v**2 + 1 + 9*v**2 - 1. Let k be w(3). Suppose -6*h = -5*h - k. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-4*-1*(sqrt(243)*-2 + -5 + 5).\nAnswer: -144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39040 by -16.\nAnswer: 2440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.52, -444, -35, -1\/7, -5 in decreasing order.\nAnswer: -1\/7, -5, -6.52, -35, -444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -1) + -2 + (1 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -2, 5 in decreasing order.\nAnswer: 5, 3, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - -0.9. Suppose -31*x - 459 = 781. Let r be (-7 - -2) + x*6\/(-45). What is the nearest to 0.1 in 0, r, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 0*s**2 + 4\/5*s**6 - 14*s**3 + 61 + 0*s**4 - 2*s + 0*s**5. What is the second derivative of f(v) wrt v?\nAnswer: 288*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 + 6*t + 2. Let p(z) = -6*z**2 + 19*z + 5. What is -11*o(f) + 4*p(f)?\nAnswer: -2*f**2 + 10*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4103*v**3 + 210*v**2 - 4057348?\nAnswer: -12309*v**2 + 420*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 2:17 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - 6*j**2 + 2*j**2 - 4*j - j to x + v*j**2 + k*j and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -521161, -1042274, -1563387, -2084500, -2605613?\n\"Answer: -521113*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/19, -13, -427\/2, 1\/6?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmaama. Give prob of picking 3 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxqflqfxxoqx. Give prob of sequence qyx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 12152 (c) -0.4 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 32\/161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -13*a - 10. Let j(u) = -2*u. Determine g(j(p)).\nAnswer: 26*p - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 69.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 6. Let d be k(-8). Let l(z) = -z**3 + 2*z**2 + 2*z**2 - d - 2 + 4*z. List the prime factors of l(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 v when three letters picked without replacement from qncqczzznccvvcqzzz?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 49.1\nAnswer: 14.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -2\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111383 - 40160 = -137*o + 187121. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.004 (b) 0 (c) -1 (d) -0.018 (e) 0.38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -33*i**2 - 60*i + 640. Give n(3).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -22. Let a(b) be the first derivative of -6 - 28*b**3 - 8 + 27*b**p. Let i(s) = -s. What is a(i(u))?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.1530698 minutes?\nAnswer: 9.184188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1369 is divided by 677?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 635*a + 16752 = -63*a for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 109258?\nAnswer: -2\/54629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 14) to base 4\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 0 - 1\/12*q**4 + 3\/2*q**2 + 0*q**3 - q. What is the derivative of g(c) wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1879695485+8\nAnswer: -1879695477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/(-135) + -1 + (-58)\/5. What is the thousands digit of 2\/((m\/(-574))\/13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4828, -17875, -30922, -43969?\n\"Answer: -13047*f + 8219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - x + 4*x)*(-x - 1 - 5 - 3).\nAnswer: -x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1893 - 952 + t - 942.\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11124661 + -1?\nAnswer: -11124662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7661\/53627)\/(3 + (-2 - (-24)\/7)).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s - 8. Let z = 14 + -9. Suppose 13 + 17 = -z*t. Is 11 a factor of r(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1562*w**2 + 3724*w + 185. Let k(c) = -781*c**2 + 1863*c + 111. Let d(n) = -3*b(n) + 5*k(n). What is the second derivative of d(s) wrt s?\nAnswer: 1562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 945506315 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k - 12*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159964*f - 1536*f**2 + 159964*f + 9535*f**2 + 8550*f**2.\nAnswer: 16549*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 a when three letters picked without replacement from xxxaxxxa?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 <= -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 174995073?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(2\/8 + 55\/(-60))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-684)\/(-1197) + (-912)\/28.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - o + 7 = 2, -4 = 4*h - 4*o. Let g(z) = 100*z. Let j be g(h). Suppose 3*p - j = -p. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 2. Suppose p*c = -s + 15 - 4, -3*s - 3 = 0. Let w be (0 - 98\/34) + c. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -5, 1\/44, -1, -1279, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 517505418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681.3 minus -3902003?\nAnswer: 3903684.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -815, -832, -873, -950, -1075, -1260, -1517, -1858?\nAnswer: -2295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) 4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 8 + 11*w - w**2 - 4*w - 6 - 6. Let s be 2\/(5\/20*-1). Let l = 14 + s. Determine p(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 6:53 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let q(h) be the third derivative of h**4\/12 + 992*h**3\/3 + 56*h**2 - 3*h. Give r(q(u)).\nAnswer: -2*u - 1984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 100 - 54 = 0. Let r = -18 - w. Which is smaller: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*n - 2. Suppose -q = -n*p + p + 2395, 5*p + 4*q = 2395. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 13*a**2 - 15*a - 19. Let j be g(-14). Suppose -2*o = h - 0*o - j, 5*h = 2*o + 1887. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7387, -15526, -24415, -34054, -44443, -55582, -67471?\nAnswer: -80110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.069 * -0.666\nAnswer: -0.045954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(2) + sqrt(16)\/sqrt(8)))**2 + sqrt(11) + (sqrt(11) - (sqrt(11) - sqrt(22)\/sqrt(2))*5) + -4.\nAnswer: -5\/4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23032855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -1 - (7 + -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -427.14363880745 - -0.1?\nAnswer: -427.04363880745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 13*s - 28. Let h(n) = 15*n + 3. Let o be h(3). Calculate the remainder when ((-54)\/(-8))\/(6\/o) is divided by i(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j + 37*l = 33*l + 515, 0 = -3*j + 5*l + 23. Solve 5*v = j*s - 22*s, 2*s = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-18))\/((-27)\/(-17010)*196).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17.7 (b) 5 (c) 4 (d) 8 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -224*l**2 + 2. Let v(h) = -877*h + 127. Determine v(a(g)).\nAnswer: 196448*g**2 - 1627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 212*m - 10391. Determine h(-132).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = w - 0*h, 0 = -2*w - 3*h + 9. Suppose 0*j + 2*j + c - 4 = w, 4*c + 11 = j. Solve -j*p + 2 = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iikrrcikrirrrkxic. Give prob of picking 1 x and 1 c.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/5)\/y*y**1*y**0*y*y**(1\/11))\/((y**0)**(-5)*(y\/y**(-1))**(1\/7)) assuming y is positive.\nAnswer: y**(2\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 932.12643 + 59.\nAnswer: 991.12643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: -1155 * 1.2\nAnswer: -1386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140382499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by (-132)\/(-3)*4\/8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 328 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -0.4 (b) 148 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.7 and -0.26641?\nAnswer: 1.43359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -413012410 (base 5) to base 12.\nAnswer: -695168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11384040.\nAnswer: 2, 3, 5, 19, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34054, -136219, -306488, -544861, -851338, -1225919, -1668604?\nAnswer: -2179393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 3:07 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 515518021, 1031036040, 1546554059, 2062072078, 2577590097, 3093108116?\nAnswer: 3608626135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from ggggwgwgg?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - a - 2. Calculate the remainder when d(-7) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 26.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 98*k**2 - 9*k + 81. Is l(6) a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 206\/429 + -40\/39. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*q + 1)*(-21*q - 4*q - 21*q)*(0 - 3 + 4)*(-206 - 133 + 52 - 93) as s*q + d + n*q**2 and give n.\nAnswer: 34960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/3)\/(-1 - 2\/(-18)*7). Solve 8 = 2*g + 2*h + 3*h, 3*g + h - r = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**6\/120 - 31*a**5\/60 - 53*a**4\/24 - 2*a**2 + 4*a. What is the second derivative of k(u) wrt u?\nAnswer: 6*u - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 1170 = 4*o, 4*o + c - 805 = 369. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 0*m = -3*x + 31, 2*m + 16 = 3*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/19690 and 7\/124960.\nAnswer: 22367840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:00 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2388515660?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 13 + 318 + -336?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 1. Let s(l) be the third derivative of -l**4\/4 - 4*l**3\/3 + 6*l**2. Give -5*a(i) + s(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3 + 3*v**2 - 10*v - 4 + 4 - 3*v**3 - v**3. Is i(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 28*q + 1. Let u(h) = -3*h**2 + 5*h + 5. Let d(c) = 8*c**2 - 14*c - 14. Let g(l) = -5*d(l) - 14*u(l). Determine g(p(m)).\nAnswer: 1568*m**2 + 112*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3913 is divided by 1520.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 437896 and 864?\nAnswer: 47292768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168 - 116. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-4 + 65\/15). Let y be (3 + a)*(2472 + 6). Suppose -4*b = q + 1848, 4*q + 5*b + y = 3*b. What is q rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/7)\/(2\/7). Suppose q*l - l = 34. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 6:05 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 14*p - 10. Let q be r(15). Let a = q - 2. Sort a, 5, -1 in descending order.\nAnswer: 5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24256 is divided by 279.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6)**(17\/3) assuming f is positive.\nAnswer: f**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 28489536 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 s when two letters picked without replacement from jscjcscjcjcqqjccc?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/17 or 0?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -75.6917 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**8\/1008 + d**7\/10 - 119*d**6\/360 - 187*d**5\/180 + 10*d**4\/3 + 122*d**3\/9 - 522*d**2 + 3*d. Let y(w) = 0. What is w?\nAnswer: -1, 2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 396*o**2 + 5745*o + 63. Determine n(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**2 - 24835*y + 1810410 = 0?\nAnswer: 74, 4893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*y = 254, y = -3*x + 171 + 230. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -936 = 9*v + 2448. Which is smaller: -1129\/3 or v?\nAnswer: -1129\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -23478, 0.1, -3 in increasing order.\nAnswer: -23478, -3, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*g + 117, 5*l - g - 3*g = 342. Suppose 4*o - l = o. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmmmmmm. What is prob of picking 1 w and 1 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 76*w**2. Let d(v) be the third derivative of v**4\/12 + 36*v**2. Give p(d(a)).\nAnswer: 304*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 201023022?\nAnswer: 201023023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085079 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 897115 to the nearest integer?\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -1. Suppose d = 0, -3*m - 5*d = 10 - 19. Let y be (-6)\/24 + (-11)\/(-76). Sort y, m, u.\nAnswer: y, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 0*n - 4*n + 26*n**2.\nAnswer: 26*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1777352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131 rounded to the nearest 10?\nAnswer: -1130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4234*c**2 + 59338*c + 868 = 0.\nAnswer: -14, -31\/2117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 11 = -3. Suppose 25 = -5*s, -3*o + 8*o - 30 = -2*s. Factor g*b**2 - 11*b + 7*b + o*b.\nAnswer: 2*b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 496.1665*7\nAnswer: 3473.1655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-4 - 2) - (5 + -18) - 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -76, 195, -61 in ascending order.\nAnswer: -76, -61, 4, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 3:21 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 78*s - 719. Give h(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -1\/15*i**4 + 0 + 0*i - 1\/5*i**3 - 7*i**2 - 1\/150*i**5. Determine a, given that x(a) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*g + 0*g + 625 = 0, 0 = h + g - 134. Let m = 5997 - h. Suppose -m - 2260 = -4*r - 4*k, 0 = -3*r - 2*k + 6093. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*r + 55. Let a(w) = 7*w**2 + w - 2. What is the remainder when r is divided by a(2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + w. Let k be 88\/14 - 4\/14. Let a(y) = k - 4 - y - 5 + 0. Let z be a(-5). Calculate m(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 0*b**2 + 3 - 2*b**2 - 9 + 5*b. Let c(g) be the first derivative of g**2\/2 - g + 9. Determine 4*c(y) - x(y).\nAnswer: 2*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**2\/2 - 20*h - 3173. Calculate b(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27, 50, 73, 96?\n\"Answer: 23*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 176 + -45388?\nAnswer: -45212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(1377) + -3 + 2)**2 + 0.\nAnswer: -72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10311 - -11?\nAnswer: -10300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 16*l**2 + 20*l + 20. Calculate b(15).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1342.98154 rounded to 1 decimal place?\nAnswer: -1343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/21 + -25*(-47)\/(-1482). Let q = m - 1\/494. Let f = -26\/3 - -430\/33. Calculate the common denominator of q and f.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 81 (b) -1\/6 (c) 1 (d) 0.3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-268)\/10 + 3\/(-15). Let k = 16 + q. Let n = k + 32. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 4\/367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, 331, 906, 1699, 2710?\nAnswer: 3939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 - (120\/200)\/(6\/20) is divided by (-649)\/(-33) + (-8)\/(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-2)\/(-42))\/(6\/216*4).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + sqrt(2) + sqrt(16)\/(sqrt(8)*-2 + sqrt(8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((((b**(-1)\/b)\/b)\/b)\/b))\/(b*b**(-5))*(b\/b**(1\/3)*b)\/b**(1\/3) assuming b is positive.\nAnswer: b**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20520 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**2 + 2*s**2 + 227740*s - 229076*s in the form c*s + h + n*s**2 and give c.\nAnswer: -1336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = -3. Let m(j) = j**3 + 7*j**2 + 4*j + 9. Let y be m(z). Suppose 0 = x + 5*i - 0*i - 12, 4*x - 3*i = -y. Sort -1, x, -5.\nAnswer: -5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 17 = -8. Suppose p*i - 1552 = -227. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8858914 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 33315193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 + j**2 - 1. Let m be (9 - (-15)\/(-3)) + (0 - 0). Let o be -3*(-7 + m - 24\/(-9)). Give a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 40*p**2 - 5\/3*p**3 - 74 - 320*p. Factor n(b).\nAnswer: -5*(b - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265329797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -54238*-0.99\nAnswer: 53695.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 312 + -312.206. Is 0.2 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 14*l**2 - 41*l - 1. Let b be j(-13). Let s = -205 + b. What is the greatest common factor of s and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 10, -486 in descending order.\nAnswer: 11, 10, -486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, 2\/3, 0.597, -5\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-7)\/p)*(p**(-1\/7)*p)\/p)\/(p\/(p*p*p**(2\/3)\/p*p))**(-4\/17))**(-5\/9) assuming p is positive.\nAnswer: p**(-15110\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4 + 2. Suppose 3*n + 286 = 3*q - 125, 2*n - 4*q = -284. Find the common denominator of r\/(-33) + 1714\/n and 51\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127134.1 rounded to the nearest one thousand?\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7026*z - 3. Let w(d) = 6*d**2. Determine c(w(h)).\nAnswer: 42156*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.466 + 0.234. What is d rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 4*p = 26*i - 4188, 5*p = 5*i - 5265. Is i a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m - 26. Suppose -5*h + 7 = -2*h - 2*l, l + 1 = h. Let c be 36\/48 - h\/(-4). Let r(g) = -g - 5. What is c*b(y) - 11*r(y)?\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 443\nAnswer: -10\/443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + -3. Let b = 31 + f. Let d be 5\/(-2)*b\/(-10)*-4. Solve -1 = -d*a - 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 3*f - t, 0 = 7*f - 2*t + 51 - 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.6 - 0.4. What is the closest to -0.1 in z, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sspppspp.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -351.753?\nAnswer: -703.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + 14539 = -283*y - 483*y - 23141 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**5\/30 + 51*a**2 + a. Let t(o) = 31*o - 2. Give j(t(l)).\nAnswer: -1922*l**2 + 248*l - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2640\/220*38\/12?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1413635140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 - 4 + 3 - 4. Let q(r) = 2*r**3 + 4. Suppose -11 = -o + 5*i, -4*o + 0*o - 22 = 2*i. Calculate o*s(z) - 5*q(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 66.9446 and -1.\nAnswer: -66.9446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g + 33. Let b be f(7). Solve b*q + 5 = -0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*u - 4*d, 4*u - 8 = 9*d - 13*d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 182 - 186. Let v(t) = -t**3 - 2*t**2 + 5*t - 2. Calculate v(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/12 and 16\/(-88) + ((-3545)\/4202)\/(-5)?\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 127 - (197 - 34 - 55).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 8*c**2 - 14*c - 41. Let k be r(-9). Suppose -k*a - 5 = v, v + 3 = -5*a - 4. Solve f - 2 = 0, i + 2 = f - v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 + 0*d**2 + d**3 - 1 + 3 + 1 as q + t*d**2 + g*d**3 + z*d and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27388682?\nAnswer: 2, 89, 151, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 92 = -89, n - w = -7 - 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s + s + s)*(5*s + s - 2*s)*(0*s**3 - 2*s**3 + 4*s**3) + (2*s**3 + 4*s**3 - 7*s**3)*(0 + 0 - s**2).\nAnswer: -23*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 4 - 4)*(2*p - 3*p + 0*p) + 0*p - p + 0*p)*(-999 - 2618*p**3 + 999) as x*p**2 + h + g*p**4 + v*p + k*p**3 and give g.\nAnswer: 7854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -699*x**5\/20 - 69*x**4\/2 - 753*x**2. Find the second derivative of s(v) wrt v.\nAnswer: -4194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 150?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1299 - -23. List the prime factors of c.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6387\/8 - -3139\/4. Let w = -14 - t. What is the common denominator of w and -39\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -14*v - 224. Determine c(-11).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*j + 35 = 63, -4*j = -s + 24. Put 7, 10, s in decreasing order.\nAnswer: 10, 7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211*-22.\nAnswer: 4642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/((-15)\/3))\/((-2)\/10). Which is the closest to -2? (a) 0.3 (b) -134 (c) p (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/((sqrt(33) + (sqrt(33) - sqrt(33)*-1))\/sqrt(3)))\/(sqrt(245) - -4*(-2*sqrt(245) + sqrt(245))).\nAnswer: -sqrt(2)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80167 + 372159. Let k = 6 + -3. Suppose -219010 = k*u - y + 6*y, -l = 4*u - 4*y. Round u to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 148 = -2*z, 3*z = -r + 167 + 29. Let i be ((-272)\/z)\/(1\/(-28)). Suppose 0 = 2*l - i - 75. List the prime factors of l.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-15)*8\/(-28)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {d: 1, p: 1, j: 1, i: 2, g: 1, n: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 28639 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 j in 5*j**3 + 189898938*j**2 + 1803080294696604*j - 721232148262472 = 0?\nAnswer: -18989894, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 24*b**2 - 206*b + 196. Let w(c) = -7*c**2 + 68*c - 65. Let k(h) = 2*u(h) + 7*w(h). Determine i, given that k(i) = 0.\nAnswer: 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*q + 280, 3*x - 3*q = -4*q + 840. Does 47 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - 0. Let c = 578\/35 + -84\/5. Let x(k) = k + 24. Let q be x(-24). Put q, c, d in descending order.\nAnswer: q, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22\/1811? (a) 4 (b) -5 (c) 4\/7 (d) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 10*p + 119. Let q be c(7). Solve 22*u - 17*u = q for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 14*o = 156. What is the greatest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/40 + (-1)\/((-8)\/(-58))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = 76. Let p = u - 23. Solve -p = 5*x + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 2 - 2 + 4 - 3. Calculate the smallest common multiple of 10 and i(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 7*d + 9. Let h(k) = 6*k**3 + k**2 - 2*k + 2. Suppose 0 = -4*n + 1 + 3. Let r be h(n). Determine f(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -250 - -473. Calculate the remainder when w is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34642 - -381074\/11. Find j such that -8\/11 + 18\/11*j - q*j**2 + 2\/11*j**3 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 47\/4 of a micrometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442 divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/72 + (9 + 232\/72 - 12)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 23*n**5\/30 - n**3\/3 + 7*n**2 + 17. Let z(g) = 5*g**2. What is z(b(t))?\nAnswer: 10580*t**4 - 920*t**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 1588.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 50*n**4\/3 - 6830*n**3 + 916416*n**2 - 121260544*n\/3 = 0.\nAnswer: 0, 592\/5, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 225757\/3 and 75253 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((4*(3*sqrt(70) - sqrt(70)))\/((sqrt(100)*4 - sqrt(100))\/sqrt(10)))**2 + 2)*-5.\nAnswer: -9320\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1905796776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*o + 30693 + 19866 = 0, 3*a - 50583 = o. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 190 - 186. What is the nearest to p in -4, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -13*r - 1. Suppose -5*k + 4*u = 1, 3*u + 6 = -k - 2*u. Is 12 a factor of w(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31207544881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 2*d + 68, 369*k + d = -441*k + 805*k + 56 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 6) to base 7\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 4*t**2 - 2*t - 4. Let f = 6 + -10. Let x be p(f). Suppose j = 4*d - 55, 0*j - 35 = -d - x*j. Calculate the remainder when 56 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**2. Let j be 4\/(-26) - (-64)\/416. Let l(n) = -2*n**2 - 1 + 2 + j*n**2 + 4. What is i(l(w))?\nAnswer: -16*w**4 + 80*w**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 3*p + 0 + 0*p + 1 - 4*p. Suppose -5*b + 11 = -4. Let q(m) = -m**2 + 2*m + 4. Let u be q(b). Calculate w(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -25. Let f = 10 - p. Let r be ((-6)\/(f\/3))\/(-1). Solve -r = 3*c - 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/22150 and -22\/3605.\nAnswer: 15970150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -2*j - 36, 4*j = -3*k - 45*k + 10*k + 726 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 54 and 171719 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 1056.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.812 + 2?\nAnswer: 25.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -1868.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -65 - (52 + (-42 - 44))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -846?\nAnswer: -845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 2)\/(2\/(-6)). Is 8 a factor of (-64)\/(-6) - (-1)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*m - 1300 + 2148 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 407 = 337*c - 348*c. Is -36 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -15, -0.06 in descending order.\nAnswer: 22, -0.06, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 minus 259?\nAnswer: -256.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -4, 0.16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 + -47. Calculate the greatest common factor of p and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 5*z = -5*d - 16662, 3*d + 4*z = -10006. Let r be 2\/(-10) + (-576)\/d. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**4 - c**3*i - 2*c*i**2 + 579*i**2 - 406*i with respect to c.\nAnswer: -16*c**3 - 3*c**2*i - 2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 7}. What is prob of picking 3 h?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24298266 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 15*x + 22. Let v be f(-17). Let w be 57\/v*-2 - (-9)\/(-6). Calculate the highest common divisor of 24 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8\/3)*(c\/(c*((c*c**(2\/9))\/c)\/c*c*c))\/c*c)**(-1\/2)\/((c**1)**(-1\/52)\/(c\/(c*c\/((c**1*c)\/c)*c))**(-2\/19)) assuming c is positive.\nAnswer: c**(18397\/8892)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152, 181, 228, 287, 352, 417?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5 = 15. Suppose s + 16 = f*v - 0*s, -2*v + 11 = -5*s. Let n = v - -3. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f - 3*f - 3*b, -1 = b. Let n(j) = -6*j + 1. Let p be n(f). Let r(g) = 4 + p*g - 4*g - 2. Let h(u) = -16*u - 11. Give 2*h(q) + 11*r(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2578.\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -100111011111 (base 3) to base 15\nAnswer: -3a4ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*p**3 + 2*p - 4*p - p - 2*p**4 - p**2 to w*p**4 + o*p + q*p**2 + f + r*p**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 4*i**2 - i**2 - i**2.\nAnswer: 2*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 821062 in -2\/13, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 0.2, 4, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(136)\/sqrt(8) + 2 - sqrt(17)))**2 + 2 + (-2*(sqrt(153) + sqrt(153)*1))\/sqrt(9).\nAnswer: -8*sqrt(17) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 195 = 0, 146*r + 20 - 65 = -2*g + 143*r + 74 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 9*c - c + 0*c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/189*2356\/(-4712)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2189 = 381*t - 380*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196259, 1569955, 5298555, 12559511, 24530275, 42388299, 67311035?\nAnswer: 100475935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 4*b - 3 + 2, -5*i + 5 = 2*b for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7)*k)**(1\/4)\/(k**(-1))**(4\/7))\/(k**(-3)\/(k*k**2)*(k*k**(-6))\/k**6) assuming k is positive.\nAnswer: k**(501\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/9 and -15\/6091.\nAnswer: 54819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 312*h + 2131. Give r(-7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3128, -1186, -18 in increasing order.\nAnswer: -3128, -1186, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*x + 75*x + 76*x + 76*x + 227.\nAnswer: -3*x + 227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-10) - (-11)\/2. Calculate the remainder when (-8)\/(-24) + 412\/l is divided by 18*(0 - (0 + -1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(3\/(-12)) + 3)*-3. Suppose 0*z = g*z - 5*h + 4, -z + 4*h = 6. Solve -4 = -3*u + z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.675. Let h = 389.7 - 390. Let w = h - f. What is w rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 - -36. Suppose -b*y = -2 - 14. Solve 4*k = 5*q + 10, 4*q - 2*q + y = -3*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 505785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(-3)\/9 + 2\/3. Solve y*i + i - 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 507 - 153 = 3*r, 3*q = -5*r + 591. Let g = r - 18. Suppose -5*m + 133 + g = 0. List the prime factors of m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x. Let v(f) = 13068839*f. Calculate g(v(d)).\nAnswer: -26137678*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22 + -17 - (-650)\/2. Is 330 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1625419?\nAnswer: 1625419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1600 and 101\/105?\nAnswer: 33600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 - 2*f**2 - 12*f + 16. Calculate the remainder when 143 is divided by r(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1212 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3665449462 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3099?\nAnswer: 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730770 is divided by 1471?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7119*0.3.\nAnswer: -2135.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -759\/1908590?\nAnswer: -759\/1908590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**9\/60480 + 7*t**6\/720 - t**5\/15 + 4*t**2. Let g(z) be the third derivative of b(z). Differentiate g(x) with respect to x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2. Let y(w) = 666*w. Determine z(y(r)).\nAnswer: -1330668*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/2 - (-28 - -33). Let r be (2\/3)\/((-6)\/9). Which is the closest to -2\/3? (a) h (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152*k**3*t**2 - k**3*t - 2*k**2*t**2 + 3*k + 4*t wrt t.\nAnswer: -304*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 13*p - 15. Solve -m = -0*m - p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 8*v - 20 = 0. Let c be (-22)\/(-8) - v\/(-40). Let b = -3\/8 + 1\/24. What is the nearest to b in c, 3\/4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54\/10*(-102)\/136*((-3920)\/(-36))\/(-14)\nAnswer: 63\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-27))\/(-3 - 357\/(-117)). Let f(t) = 2*t**3 - 26*t**2 + 1. Let w be f(u). Solve 2*l = 3*l + w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 4*k - 4*k)*(-1 + 2 + 2)*(0 - 1 + 4) - 2*k + 6*k - 3*k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**4\/12 - o**3\/3 - 4*o**2 - 5*o + 5. Give v(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - i + 2*i - 8)*(0 - 2 + 5)*(-3*i + 2*i + 3*i) to v + m*i**2 + p*i and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b - 331 = 49 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -1\/93 (c) 5 (d) 0.1 (e) -3\/34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53792097 is divided by 3858.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42.3 + -42.8. What is the closest to -1 in 13\/5, s, 3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1097*v + 13223. Give b(12).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0. Let c(a) = a**2 - 3*a - 2. Let b = 21 + -19. Let h be c(b). What is the nearest to -2\/7 in h, r, 3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:07 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -27*b - 173. Let l = -10602 - -10596. Give u(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11200 - 11200.9. What is the smallest value in c, 4\/19, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abbb. What is prob of sequence babb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3*17\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73386996 by 2.\nAnswer: 36693498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13237 is divided by 1893.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from roppoouoporpurupour. What is prob of picking 2 p, 1 u, and 1 r?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3213924690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -64*(-5)\/160*3*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4728044?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 4, c: 7, h: 2, d: 2}. What is prob of sequence dn?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10800786247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4*w = 532 - 554, 3*x - 5*w = 28 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/36 and -35\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.51 - 0.51. Let v = -11\/6 - -31\/12. Which is the closest to s? (a) 5 (b) v (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -8 + (2 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 126, 131, 136, 141?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a*a**(-13\/2)*a)\/a)\/a**(2\/9) assuming a is positive.\nAnswer: a**(-67\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 288 = 10*j. Let u = 100 - j. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 - 9*x**2 + x. Let c(m) = 4*m**3 + 20*m**2 - 2*m + 2. Give -3*c(y) - 5*i(y).\nAnswer: 3*y**3 - 15*y**2 + y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5564 - -5999. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + r + 16 = -9, r = -3*z - 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 - 39 = -7*v. Let y(l) = l**3 + 25*l**2 + 23*l - 22. Let o be y(v). Let w(i) = 3*i**2 + 6*i**o - 6*i**2. Let d(r) = 12*r. Calculate w(d(g)).\nAnswer: 432*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27072216 - 6?\nAnswer: -27072224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59604*v**5 - 2257*v**2.\nAnswer: -3576240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 593 + -25 - (1 - -7)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*a + 8 + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**3\/3 - 2*h**2 + h. Let k be 2*9\/(-6)*1. Let l be o(k). Solve 15 = l*n + n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 + -7?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -170b37 (base 13) to base 9\nAnswer: -1063155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 25, 26, 7, -38, -115, -230, -389?\n\"Answer: -n**3 - n**2 + 25*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -13*y**2 - 2812*y - 14548. Determine k(-211).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1300822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 0. Suppose 0*f = k*x + 3*f + 15, -3*f = 2*x + 15. Suppose x = -o - o. Solve o*q = -q - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-1))\/((-3)\/(-5)*(-255)\/(-306)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3898*k - 124743. What is p(-32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = -2*u, -u = -6*u - 2*s + 27. Let l(o) = -o**2 + 6*o + 7. What is l(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 106680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b - 4. Let c be d(-2). Let n(x) = -x**3 + 33. Suppose 4*a + q = 2*q + 67, -16 = -a + q. Calculate the remainder when n(c) is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - 96 = 0. Suppose c = 4*c - 15. Suppose c*a = a + v. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(27)\/sqrt(9))*5*2)**2 + ((sqrt(42) - sqrt(126)\/sqrt(3))\/sqrt(7))\/((1*sqrt(12))\/sqrt(6)).\nAnswer: -800*sqrt(3) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 + 18. Let w = -33 - g. Suppose 2*y - w = 16. What is the least common multiple of y and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**3\/9 + 1606*q**2\/3 + 266230*q\/3 + 32041294\/9 = 0.\nAnswer: -79, 2567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 8*n**2 - 5*n - 12. Does 2 divide d(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 - 0.6. Let d be (0 - 2)\/(3\/(9\/(-21))). Is z > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 0.018.\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from ommoommommmmooom?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 1. Let t be -1*(0\/v - 0). Let u = t + 7. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 27*p**2 - 53*p + 67. Suppose 121*u - 62*u - 76*u = -425. What is j(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + sqrt(272) + ((0 + sqrt(17))*-5)**2)*-1 + -1.\nAnswer: -428 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 at least -440?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4556*l - 27699. Give p(6).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/10 - 3\/10. Let o = -2.69 + -0.31. Which is the biggest value? (a) o (b) -1\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q**2 - 4*q - 4. Let i be l(-4). Suppose 4*b = 8, 4*d - 2*b - i = -6*b. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22549 or -21253?\nAnswer: -22549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8846, 44, 5 in decreasing order.\nAnswer: 44, 5, 1, -8846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 25*z**2 - 2*z + 3. Let u be y(-4). Let f(h) = -17*h - 2. Let j be f(6). Let a = j + u. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddnl when four letters picked without replacement from llnnddnd?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r - 189 = -5*m, 4*m - 3*r - 153 = 0. Let g = -27 + m. Suppose 0 = g*c - 12*c + 117. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -14. Let c = -1686.4 - -1686. What is the closest to 0.3 in c, 25, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2120141?\nAnswer: 163, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1004 and 58\/5.\nAnswer: 5020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2997097853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -386 and 3.\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 5*l - 1 = 4, l + 25 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*g**3 - 4*g - 137 + g**2 - 110 + 245 to the form t*g**3 + a*g + o*g**2 + s and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**4\/4 - 7*d**3\/3 - 3*d**2\/2 + 2*d + 1. Let s be j(-6). Let h = s + 16. Let g(u) = u**3 + u**2 + u - 4. What is g(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 41*o**2 + 26*o + 18. Let v be (-1080)\/27 + 8 + 0. Is s(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 114, 176?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = -2, x + 9 = -2*n. Suppose -5*y = 4*g - 37, -9 = -4*y - 2*g + 23. What is the remainder when y is divided by (x + 1)*6\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 12:47 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9202651 millimeters in meters?\nAnswer: 0.0009202651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 949 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + 2 + 2*t**2 - 3*t**2 + 3*t**2 in the form i + b*t**2 + x*t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 145*b**3 + 0*b + 0*b + 11 + 3*b**2 - 144*b**3. Let a be h(0). Solve 0 = -a*i + 12*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -6.06. Let i = 0.04 + q. Put i, 3, 0.2 in decreasing order.\nAnswer: 3, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 30*s + 91. Let t be o(-33). Let q(j) = -3*j - 21. Calculate q(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 + -170.07. Let f = -0.3 - -0.37. Let n = f + t. Which is the second smallest value? (a) -4 (b) n (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -334 + 219. Let k = x - -135. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456 is divided by 440?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*o + 43*o - 56*o)*(-3 - 3 - 5)*(1 - 1 - o)*(1 + 0 - 2) in the form i + y*o**2 + b*o and give y.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 1. Let i(f) = -f**3 - 2*f**2 - 2*f - 22. Let b be i(-4). Give u(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 7 + 5. Calculate the common denominator of -154*(-8 + (-1539)\/(-192)) and 3 + f + 25\/(-12).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-9))\/((140\/(-30))\/(-14)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -48066810 divided by -6\nAnswer: 8011135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j - 1. What is the smallest common multiple of 8 and i(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2108\/(-1581)*(6\/32)\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.6 from -597.\nAnswer: -585.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 31202 (base 4) in base 11?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five thirds of a century?\nAnswer: 22000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 18*v - 31. Suppose -2 = -v*o + 8. Solve 4*t + 1 - 21 = 4*u, 0 = -2*t + o*u + 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*j - 9 = -3, 4*j = h - 18. Let i(f) = -f**3 + 2*f**2 - 2*f + 2. Calculate i(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -2179?\nAnswer: 2179.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g + 11*g + 6112*g**3 - 6126*g**3.\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 5 (c) -2\/15 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 349 divided by 37712\nAnswer: 349\/37712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g - 42. Let b be p(5). Suppose o = -4*c + 236, 0*c + 4*o - 190 = -b*c. List the prime factors of c.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100003121 (base 4) in base 8?\nAnswer: 200331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**7\/490 - 109*x**6\/280 - 333*x**5\/140 - 335*x**4\/56 - 8*x**3 - 317*x**2 - 1. Factor i(m).\nAnswer: 3*(m - 112)*(m + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 602, 4817, 16304, 38717, 75710, 130937?\nAnswer: 208052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1853?\nAnswer: -555.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let y(c) be the second derivative of -167*c**3\/2 + 678*c. Determine d(y(l)).\nAnswer: 501*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, -57804, -6\/5, 1?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47b40a (base 13) to base 11.\nAnswer: -a68792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46319138 less than -6?\nAnswer: 46319132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -30\/6197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:27 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 76. Suppose 0*w - 1 = w. Calculate the remainder when v is divided by w*8*-2 + 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 12 = -4*w + 24, -5*h = w - 24. Suppose c + 3*c - 2*r = 288, -c = -5*r - 54. Suppose -30 + c = h*t. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*z + 768 = -44*z. What is the hundreds digit of ((z*6)\/(-6))\/((-1)\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = -317*y + 312*y + 4*p, -8*y - 2*y + 7*p - 259 = -15*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2*w + 806, 0 = -2*h + 7 + 1. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 5:03 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -7. Let w = -0.64 + 0.5. Let u = w + -5.86. Sort u, -0.3, l in descending order.\nAnswer: l, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - -64. Let w be ((4 - 16) + -1)*24\/(-4). Suppose -79*a + 20 = -w*a. Calculate the remainder when i is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 = s. Let y(i) = 14*i**2 - 11. Let w(f) = 5*f**2 - 4. Give s*y(g) - 11*w(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20233879\/99536939 + 12\/139603. Let w = -9\/31 + q. Let i = -153.6 - -154. Which is the nearest to 0? (a) 2 (b) w (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 9.44\nAnswer: -47.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.54328 - 440.47462. Let z = 234.0825 + v. Let w = 238 + z. What is w rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -30, -2\/227, 0 in ascending order.\nAnswer: -30, -2\/227, 0, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25\/12454 or 0?\nAnswer: 25\/12454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*d**2 - 7*d + 7*d - 13*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090585559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200 by 8.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18661646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 4*q**2 + 291*q - 590. Calculate v(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.18 (b) 3\/5 (c) 0.1 (d) -5 (e) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -207 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 5*v - 20, 0*c - 3*v + 2 = c. Suppose 2*r + 2 = -3*t + 3*r, c*r + 5 = 0. What is the tens digit of t\/4 - 41\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*c - 5 = -0*c, -4*c + 13 = 5*u. Suppose 3 = a - 4*a. Let w = u - a. Solve w*h - 5*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 42, 39, 36, 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/60)\/((-2)\/10)*-4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 76373 (base 8) to base 13\nAnswer: 11742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f - 1. Let z be m(2). Sort -5, 3, z, 1 in descending order.\nAnswer: z, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 771 - 771.1. Which is the nearest to v? (a) 0.4 (b) -4 (c) -41 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + h**2 - 8*h + 19. Suppose 58 = 25*k + 158. Let r be p(k). Calculate the highest common divisor of r and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/35431 and -51\/2567137.\nAnswer: 28238507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -28 - 0\/(4 + -2). Let s = 28 + q. Suppose 3*f + 3*d + 3 = s, -3*f + 3 = -0*f + d. Solve f*y - 6*y = 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, -1, 2 in decreasing order.\nAnswer: 2, -1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 5. Solve 2*i + 3 = u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3556436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 8*d**3\/3 + 89*d**2\/2 + 1366*d. What is p(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -1333582967068.88.\nAnswer: -1333582967071.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4258 divided by 75\nAnswer: -4258\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9\/(54\/24))\/(2\/(-540)). Let i be (2 - 59\/2)*d\/50. Suppose -i = -12*m + 6*m. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*w**5 + 101*w**5 + 127*w**5 + 2*w**4 + w**5 - 2*w**4 + 3 + 2*w**5 - 3 + (0*w + 0*w - w**5)*(2 - 4 + 0) + 1 - w**5 - 1.\nAnswer: 204*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145 - 69. Let g be ((-12)\/10)\/(-4 + h\/15). Is 0 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22152\/(-5070) - 18\/(-5)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 3)*((-48)\/15 + 2). Suppose 0 = -i*r + 101 + 361. Let w = r + -67. Solve -w = -4*s + 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/(-9) - 2\/(-9). Let f be -1 - (3 - (o + 3)). What is the common denominator of -28\/5 and -4*142\/48*f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -41. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 2355\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-433 - 727 - 449)*(3 + 5 - 5)*(x + x - 3*x)*(-4 + 3 + 2) to the form w*x + u and give w.\nAnswer: 4827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*m**3 - 1\/3*m**5 + 2\/3*m**2 - 1\/3 - 1\/3*m - 1\/3*m**4.\nAnswer: -(m - 1)**2*(m + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35114698 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*l - 89*l - 10 = -4*n, 5*n - 8 = -2*l. Solve -z + 4*o + 21 - n = 0, -3*o - 15 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 3*r - 2. Suppose -v - 36*q = -41*q + 32, 41 = -3*v + 4*q. Calculate b(v).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-70))\/((-2)\/(-10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 12*m + 34. Let q be r(-3). Let c be 2*-1 + (-1 - q - -5). Let x be (-1)\/((-5)\/(-2) + -3). Solve 0 = -c*u + x - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*p = 8, -v - 5*p - 2 = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 2)*(2*v - 2 + 2) + v + v - 4*v + (1 + 0 + 1)*(-1 + 1 + v))*(-7*v - 6*v + 5*v).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -48, -47?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 63*b + 10. Let n be z(-1). Let m = n - -107. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2228 + 1681. List the prime factors of d.\nAnswer: 3, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (29\/(-18) - (-45)\/405)\/((-108)\/16). Which is the nearest to 14? (a) -7 (b) -0.5 (c) h (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*v**4\/7 - 3350*v**3\/7 - 1890*v**2 - 20898*v\/7 - 11664\/7 = 0.\nAnswer: -8, -9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*l = -920877 - 303723. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1348 - -1351. Solve -4*i = y*r - 5*i - 1, 5*r - i = 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/36 - 74\/(-8). Suppose -z + 3*w = 2, 8*z - 3*z = 5*w + c. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 + 4*p**2 + 2*p + 180413. Is c(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4977 and 29151.\nAnswer: 204057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**3 + 28*h**2 - 8*h - 3. Let o be k(9). Solve -a = -o*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4, -12, 0.24, -1155, -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 234*r + 469*r - 235*r.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1759, -14082, -47505, -112570, -219819, -379794?\nAnswer: -603037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38d - -100c?\nAnswer: a5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = a, -4*a + 4 = 4*z. Solve -3 + z = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 68539, 137075, 205611, 274147, 342683?\n\"Answer: 68536*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/212 and 15.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 12. What is y(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*n*q - 11152*n + 63732*q - 7 wrt q.\nAnswer: -13*n + 63732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - 4\/(4\/3). Which is the biggest value? (a) -7 (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1331) + (sqrt(1331) - (6*1*sqrt(1331) + sqrt(1331))) + (1*-1*sqrt(1331) - sqrt(1331))) + 1 + -2)**2 + 4.\nAnswer: 462*sqrt(11) + 586976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73865 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*c*j**3 - 12*c*j**2 - 16025*c*j + 344*j**3 + 19*j**2 - 858*j + 1 wrt c?\nAnswer: 6*j**3 - 12*j**2 - 16025*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 126403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 652 divided by 2174.\nAnswer: 326\/1087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 7, -3, -4 in descending order.\nAnswer: 10, 7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14*-778\nAnswer: -10892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**4 + j - 4044 - 4*j**4 + 4015 in the form m*j**2 + g*j + p + o*j**4 + s*j**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -2. Suppose 0 = f*l + l - 25. Let c be 22\/10 - 8\/40. Solve -2*d - 23 = l*s + 2*d, 0 = 2*s - 4*d - c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, -0.3, -13\/8, 292, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 8\/(16\/630) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 112 - 321. Let y = 16 + g. Let r be y\/((-33)\/(-2)) + 4\/22. Solve r = 4*h - 2*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99276.6ml in litres?\nAnswer: 99.2766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4350 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 6*h - 7. Suppose 2*p - 7*p = -65. Is y(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n - 2. Is r(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000709 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-2) + (-7)\/14. Let p = 218695\/34 + -6435. What is the common denominator of p and l\/4*46\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b + 196. Let y be l(-24). Suppose 4*f - 26 = 2*n, y = -f + 3*n + 23. Solve -f*a - 22 = -34 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 2. Let z be t(-5). Let x(n) = -n**3 - 2*n**2 + n + 3. Let w be x(z). What is the common denominator of (-9)\/(-66)*321\/w and 45\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1. Let d(g) = -g + 13. Let u(o) = d(o) - 5*f(o). Let z be 24\/14*(-714)\/153. Determine u(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/18 - ((-38328)\/13680 - 28\/(-798))\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1856 - 1855.8. What is the closest to s in 2, -5, 5\/2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 38*h - 3440. Give g(-42).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41, -61, -97, -155, -241, -361, -521, -727?\n\"Answer: -m**3 - 2*m**2 - 7*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11 - (-1)\/(-2)*6. Suppose -96*s + 1696 = -88*s. Suppose 214*l + 2 = s*l. Sort l, 2, o in decreasing order.\nAnswer: o, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -h + 2. Let j = 7 + h. Suppose -2*n = -0*n - j. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 3*h + 3. Suppose 0*w = w - 1. Let v be ((-50)\/5)\/(w\/2). Let d(r) = -8*r**2 - 20*r - 20. Let u = -44605 + 44602. Calculate u*d(n) + v*m(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 18*v**2 - 16*v - 18. Determine z(-19).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d146d (base 14) to base 6.\nAnswer: 132520321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -1321?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 573 = -39. Let o = l - -213. Solve 9*b + 4*t - o = 4*b, 4 = 4*t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {e: 2, l: 1, m: 1, k: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -213445 + 1323?\nAnswer: -212122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -249009?\nAnswer: 249018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112716, -451046, -1014928, -1804362, -2819348, -4059886, -5525976?\nAnswer: -7217618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4716 = -79*y - 3294 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*a - 3*a**3 + 91*a + 648*a + 87*a - 996*a + 85*a.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -24, -32, -44, -60?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -1204, -4203, -10082, -19801, -34320?\nAnswer: -54599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 391700 to the nearest 10000.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 52 + 32 - 41.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13862 + 21536. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 1. Let z be w(1). Let b(u) = -4*u + u**z + 4*u**2 - 3*u + 3*u + 0*u. Determine b(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -9. Suppose 0 = -b - b - 2*j + t, -4*j + 10 = -b. Let h be 0*(b - (-3)\/(-2)). Is h at least as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 5. Suppose -2*d = -37*d + 350. Calculate the remainder when d is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f. Let q(t) = -3706*t**2. Calculate q(y(b)).\nAnswer: -33354*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7 - 46\/7*n - 16\/7*n**2.\nAnswer: -2*(n + 3)*(8*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 40*c**2 - 12*c + 21. Let y be d(2). Find the first derivative of -151*f + 101 - 121*f + 342*f - y*f wrt f.\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 9:26 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2655625 by -4375.\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 60. What is the second smallest value in -3, 1\/5, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h**2 + 17*h + 28. Let y(m) = -m**2 - 6*m - 10. What is 4*c(n) + 11*y(n)?\nAnswer: n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*k - 9, m = -k + 1636. Suppose -p - 1634 = -m. Solve p*g = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhmbmhmhmhhhhmmbm. Give prob of sequence mbhh.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.063 - -0.062952. What is m rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*1 - (-6 + 18). Let s(u) = -u**3 - 14*u**2 - 14*u - 8. Let q be s(a). Suppose 0 = p - 4, -p = -q*c - 3*p + 33. Solve c + 0 = -i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-5\/2))**(-1\/34)*a**(1\/25)*a\/(a\/a**(1\/18)) assuming a is positive.\nAnswer: a**(-113\/15300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44\/8 - (-4)\/(16\/2). Calculate the highest common factor of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 + -46. Let v(w) = w**3 + 5*w**2 - 4*w - 5. Let r be v(-5). What is the greatest common divisor of r and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36493, -73018, -109581, -146200, -182893, -219678, -256573?\n\"Answer: -3*l**3 - l**2 - 36501*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 1 + 1 + 3 - 2 + (-2 + 0 + 0)*(3 - 3 + 1) - 5 + 2 + 2 - 2 + 2 - 2 + 4 - 4 + 1)*(-2*g + 2*g - 18*g + (6*g - 5*g + 0*g)*(1 + 3 - 1)).\nAnswer: -45*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 19. Let w = s + 6. Let h = 1 - 0.9. What is the closest to 1\/2 in w, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 7*r. Let f(n) = -1410 + 1410 + 2*n. Calculate c(f(u)).\nAnswer: 8*u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10085 times 0.4?\nAnswer: -4034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*r + 4)*(20*r**3 + 9*r**3 - 10*r**3) - 6*r**4 + 0*r**4 + 2*r**4.\nAnswer: 34*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139.92 - 140. Let m = 0.62 - s. Sort 0.2, m, 0.1.\nAnswer: 0.1, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 609 and 12054.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31278\/17 - 1840. Let t = 16\/5 + -53\/15. Which is the closest to 3? (a) 1 (b) i (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 3, -3 in decreasing order.\nAnswer: 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 324*j**2 + 8446*j + 570. Give p(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46131853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**3\/6 + 3*m**2\/2 + m. Let t be z(-3). Which is bigger: t or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 + -2. Let l = -3 - -3.2. Let x be (-14)\/((-266)\/209) + -12. What is the closest to 2\/3 in x, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 9:07 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11001100 (base 2) to base 13\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120.529 + 21.759. Let o = -107.764 - l. Let i = 9 + o. Round i to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*b**2*h + 5*b**2 + b*h - 4*b + 1623*h - 2 wrt b.\nAnswer: 8*b*h + 10*b + h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53)\/(-1)*(-124)\/(15748\/127)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20489, 20487, 20485, 20483, 20481?\nAnswer: 20479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1238.4781 times 4\nAnswer: 4953.9124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2285475 greater than -2285475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -631.2 - -631. Which is the closest to -3\/5? (a) -2\/5 (b) q (c) -3 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -537, -806, -1075?\nAnswer: -1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4\/3, 8\/5, -36 in decreasing order.\nAnswer: 8\/5, 4\/3, -13, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90398552?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -69300000 to the nearest one million.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 70, -1\/16, 0.3?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1061543855?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 23 = -5*o, -o = 3*o - 20. Let k(d) = -48*d**3 - 2*d**2 + 2*d - 1. Is k(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -310? (a) -1 (b) 3 (c) 4\/3 (d) -87 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.772, 0.03, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 455 - 1250. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1435\/8 - 179. What is the third biggest value in x, -0.3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 486*p**2 - 480*p - 968.\nAnswer: -2*(p - 242)*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, -4, -15, 2746.\nAnswer: -15, -4, 158, 2746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -12*p. Let f be (8\/(-3))\/(14\/(-42)). Let o(z) = 14*z - f*z + 15*z - 8*z - 15*z. Give o(g(u)).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 189209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3047342, 6094676, 9142020, 12189374, 15236738?\nAnswer: 18284112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 621*l**2 + 599*l**2.\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 484348 and 532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -10*m + 2. Let z(v) = v**2 - 20*v + 5. Suppose 0 = -5*l - 0 - 25. Let h(o) = o - 1. Let w be h(l). Let c(t) = w*z(t) + 13*f(t). Factor c(d).\nAnswer: -2*(d + 1)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*d - 56*d - 70. Let k(q) = 5*q**2 + 5*q + 46. Let u(z) = 6*z**2 + 4*z + 46. Let s(g) = d*k(g) - 6*u(g). What is the derivative of s(t) wrt t?\nAnswer: -2*t + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5111089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 - 0.66?\nAnswer: 2.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 247, 489, 733, 979?\n\"Answer: i**2 + 239*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 16*z**2 + z - 2. Let j be i(16). Let a be (35\/j + -2)\/(1\/(-4)). Sort -4, a, -5, 10.\nAnswer: -5, -4, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/10 - (-72306)\/(-90). Find the common denominator of 1 + 1 + c\/(-88) and (7\/8)\/((-2)\/26).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 92.04728 weeks?\nAnswer: 927836.5824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + -5 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(z + z - 4*z) + (0 + 0 + 3*z)*(-20 - 1 + 3).\nAnswer: -52*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(0 + sqrt(1900))*-6 + (sqrt(1900) - ((1 + sqrt(1900))*-6 + sqrt(1900))) + sqrt(1900)*2*6)*4 + 5)**2.\nAnswer: -27840*sqrt(19) + 4378441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g**3 - 2*g**2 - 20*g - 14. Let a(n) = 3*n**3 + n**2 + 15*n - 11. Let l(o) = -o + 2. Let v(m) = -a(m) - 8*l(m). What is -11*v(d) + 4*y(d)?\nAnswer: d**3 + 3*d**2 - 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - l + (-2 - l + 2)*(0 - 3 + 1) + 10503 - 6*l + 10401 - 21088.\nAnswer: -5*l - 184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 * -670\nAnswer: -1876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 11:29 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -309*((-70)\/(-15))\/(-14) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + d + 2 = 0, 2*q = 5*q - d + 26. Let x(i) = 7 + i - 6*i + 2*i. What is the remainder when x(q) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -9. Let w(d) be the third derivative of d**5\/60 - d**4\/8 - 2*d**3 + 2*d**2 + 10. Let q be w(6). Sort i, 2, q in ascending order.\nAnswer: i, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 114?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.44.\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 times -0.4\nAnswer: -1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(270)\/sqrt(5))\/sqrt(6)*4)\/((sqrt(108) - -2*-4*sqrt(108))*-2).\nAnswer: -sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289765216.\nAnswer: 2, 13, 29, 24019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/4? (a) 2\/19 (b) -5 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -1)\/((-27)\/234). Let c = -26 + f. Solve k = -c*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t + 1. Let a be h(2). Let r = -71 + 117. Let g = r + -13. Calculate the greatest common factor of g and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3*j + 5 = -4*k, 0 = -5*k + 2*j for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = 12 - 48. Which is the smallest value? (a) -2\/3 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 - (-4 + -5 + 18))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -194*26.9\nAnswer: -5218.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + (11 - -3) + 56 + -92?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/(-64)*(-1)\/(-12). Sort y, 0, 1 in decreasing order.\nAnswer: 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**3 - n**2 + 4*n + 5. Let j(f) = -f**3 - f**2 + f + 1. Calculate 3*j(m) - r(m).\nAnswer: 6*m**3 - 2*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*4)\/(-9 - -7). Suppose -145 = -w*b - 27. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + 48. List the prime factors of p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4*o = 8, -4*o + 8 = -7*r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/26964 and 29\/80892.\nAnswer: 80892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.69761 - 0.0484\nAnswer: 0.64921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 3.9. Round l to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*x - 24. Suppose 4*o + a = x + 10, 0 = o - 4*a. Is -2 less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 2250.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 3*x - 13347 = 0. Let f = x + -440. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 299, 741, 1183, 1625, 2067?\n\"Answer: 442*k - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 + 19. Solve 4*n = i*k - 0*n - 1, -n - 7 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21762?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.075, -0.5, -5, -51, -1\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4 + 5201*a**3 + 99424*a**2 - 1273904*a + 1169280 = 0 for a.\nAnswer: -28, 1, 8, 5220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - -0.3. Let l = 0.03 + -3.03. Suppose 4*n = -f + 14, 0 = 5*n + 9 - 34. Which is the biggest value? (a) l (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - 0.1. Let f = n + -0.34. Let a = 0 - f. What is the closest to 0.1 in -2, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65132 and 83986?\nAnswer: 1714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -781 + 836. Let j = c + -49. Solve -j*n = -8 - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6995?\nAnswer: 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 2. Let j(p) be the first derivative of -p**2 - 3*p - 12. What is 2*j(g) - 3*k(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -0.00582?\nAnswer: -4.99418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 1716963.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j - 6*j + 2*j - j**2 - 1 - 5*j + j. Let h(f) = 4*f**2 + f + 8. Determine 5*a(r) + h(r).\nAnswer: -r**2 + 6*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2\/7 - 29902*k - 418620\/7 = 0?\nAnswer: -104655, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250554, 500579, 750604?\nAnswer: 1000629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 5 = 2*c + 5*j, 0 = -2*c + 3*j + 8. Let a = -2 - c. Let l = 4 + a. What is the remainder when 11 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -9, 13626 in ascending order.\nAnswer: -9, -4, 3, 13626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*r = -430*r + 98, 4*o = -12*r + 176 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.992.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/4)\/((-21)\/98). Is 7 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 0.0039, 4?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30726645 a multiple of 695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5)\/(u*u\/(u\/(u\/(u\/((u\/(u\/(u*u**(2\/11))))\/u))))))\/((u*u\/(u\/u**(-1\/3)))\/(u**5\/u)))**(-23) assuming u is positive.\nAnswer: u**(2162\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -23. Suppose -4*a = -3*x + m - 2, -4*x - 14 = 2*a. Let d(i) = -6*i + 7. Let b be d(a). Solve -3*o = 2*o - b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -10 - 26. Let q be (-3012)\/l + (-4)\/(-3). Suppose 648 = 6*g - q. List the prime factors of g.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three fifths of a century?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 1:07 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 8589*h + 599742. What is q(71)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 29395*f - 58810.\nAnswer: 5*(f - 5881)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) + 20\/5. What is the lowest common multiple of 10 and q\/(-12) - (-19)\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(105\/2) - (-22)\/(-28)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z**2 - 5*z. Let l(q) = q**2 - q. Determine 6*l(w) - 3*u(w).\nAnswer: -15*w**2 + 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2616*g**4*z**3 + 435*g**4*z - 14429*g**2*z**3 - 51*g**2*z wrt g.\nAnswer: 62784*g*z**3 + 10440*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4)*(-25 - -29). Solve -2*v - 9 - f = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - -0.1475.\nAnswer: 10.1475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14126)\/(-3 + -4))\/((-8)\/(-68)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7874 - -23275\/3. Is q less than -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqnmrn. Give prob of sequence mn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven halves of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 202, -37130, 3, -1\/6.\nAnswer: -37130, -1\/6, 2\/9, 3, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - k - 725*r + 16 = -721*r, 0 = 3*k - r + 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -3, 1379, 82 in decreasing order.\nAnswer: 1379, 82, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 748 and 2057?\nAnswer: 8228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000777380043 rounded to 6 dps?\nAnswer: 0.000777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -66. Suppose -v - 13 = -r. Solve 5*l - 2*x - 30 = 0, -2*x - 17 = 2*l + v*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - h**2 + 5*h**2 + 0*h**2 + 2.\nAnswer: 4*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 121240571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*k = -1720 - 15280, 3*t + 3*k = 10221. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -26*t**3 + t + 1. Let i be g(-1). Let u = i + -23. Suppose 0 = k + k + 6, -u*z = -k - 11403. Round z to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/39))**21)**22 assuming b is positive.\nAnswer: b**(5698\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61420*d - 122834*d + 61411*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -9977 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -5. Let w = -3 - x. Let i be 10 - 1\/w*-2. Calculate the highest common factor of i and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 + 0 + -3 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-71808)\/(-3696))\/(27\/(-189)*(-2)\/2)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.308. Let n = -3960.008 - -3963. Let p = d - n. Which is the closest to 1? (a) 0.2 (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1264 and 395.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 3*l + 108, -4*d - 4*l = -2*l - 108. Suppose -16 = -d*z + 11. What is the smallest value in 0.2, z, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4\/327 - -119\/6758. Let i = -2881\/372 - v. Let f = -1\/778 - 4277\/1556. Find the common denominator of f and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 648971580 divided by -5\nAnswer: -129794316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**3 + 1558*a**2 + 334144*a + 11646464 = 0 for a.\nAnswer: -368, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**2*m - 6*b**2*q - 5*b**2 + 7*b + 9*m**2*q - 61*m**2 wrt m?\nAnswer: -b**2 + 18*m*q - 122*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**5\/3 - 7888*z**4\/3 - 23720*z**3\/3 + 39488*z**2\/3 + 23716*z\/3 - 31600\/3 = 0.\nAnswer: -4, -1, 1, 1975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 0) + -6 + 1 - -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-58135)\/(-165))\/((-10)\/6). Let z = 2077\/10 + h. Find the common denominator of 9\/80 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8719, 18034, 27349, 36664, 45979?\n\"Answer: 9315*i - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 2. Let d be i(-2). Suppose 3*g + 2*c + 68 = d, 2*g + 19 = -c - 25. What is the remainder when 16 is divided by (-1 - -2)\/(g\/(-180))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 - -156. What are the prime factors of t?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 0*i + 2*i = -13, 0 = 4*c - 4*i - 8. Suppose c*z - g + 17 = 6*z, 0 = 4*z + 2*g - 26. Calculate the greatest common divisor of 12 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 - 2*p - 4. Give t(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 6*b - 594. Let z = b - 65. Let l(d) = d**2 + d + 5. Let k(n) = -2*n**2 - 2*n - 11. Let u(s) = -6*k(s) - 13*l(s). Calculate u(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 329 = 4*v, -v + 52*f + 98 = 48*f. Let m be 1088\/(-14) + 2\/(-7). Let k = v + m. Solve 2*y + 2*j + k = 5*y, y = 2*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 5*j = -355*k - 8523, 10*j = 14*j - 7*j - 3*k - 63 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12133*r + 1093*r + 1289*r to y + w*r and give w.\nAnswer: 14515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Let h(z) = -34*z + 90387. Give h(u(t)).\nAnswer: 34*t + 90387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.988 to one decimal place.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 0.2 (c) -0.1 (d) 21 (e) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.15, 33\/3218, 3, -5, 4\/7?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from dwajy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2154\/1729 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 2*y - 128, q - y - 37 = -1. Suppose 3*r - l - 102 - 34 = 0, -3*l - q = -r. What is the remainder when r is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l - 1. Let j be p(-1). Let f = -48 + 191\/4. Which is the smallest value? (a) 1\/9 (b) 3 (c) f (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 355036 = -96*w + 337586. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 15*s - 72. Is f(18) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 8 = 4*t, -3*o + 2*t - 3 = -2. Which is the smallest value? (a) 4 (b) o (c) 12\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j. Let c(w) = -211023 - 49*w + 211023. Give c(m(l)).\nAnswer: 98*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**3 - 5*s**2 - s + 3. Let g(v) = 3*v. Let p be g(1). Let a(i) = 6*i**3 + 6*i**2 + i - 4. Calculate p*a(u) + 4*y(u).\nAnswer: -2*u**3 - 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -16*g**3 + 4*g**3 - 1 + 6*g**2 - 3*g + 13*g**3. Let u be f(-3). Let b = 13 - 2. Solve -5*z - u = -4*n, 2*z = -n + 2*n - b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 558 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**3\/3 + 3*u**2\/2 + 9*u - 63. Suppose -4 + 1 = p, -19 = -4*h - 3*p. Calculate i(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4*c - 10, -5*u = -2*c + 3*c - 8. Suppose 0 = -2*y - u + 8. Suppose y*q = -15 + 54. Solve 3*x = j - q, x + 0*x = -5*j + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5135.3 in -3, 3, -4, -0.2, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11011 is divided by 147?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 6*f + 2. Let d be y(-6). Suppose 5*n - 3*c - 34 = 0, -5*n + c - 4*c = -16. Let u be 2\/(-2*(3 - (n - 1))). Solve -u = -a - d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 g when three letters picked without replacement from bbnng.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 0.4, -7, 0.244, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 150 = -5*a, 3*a + 3*g = 4*g + 90. Suppose 7*j - a = 2*j. What is the second derivative of 0*r**2 - r**2 - 6*r - j*r**2 + r**2 wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (4 + (1 - 6)) - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7609 and 147.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 65\/7*l**7 + 1\/2*l**2 - 32\/3*l**3 + 0*l - 3 + 0*l**6 + 0*l**4 + 0*l**5. What is the third derivative of x(s) wrt s?\nAnswer: 7800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -99, -147, -219, -321, -459, -639, -867?\nAnswer: -1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**11*s**(2\/25)*s**(1\/2)\/((s\/s**(-5)*s)\/s) assuming s is positive.\nAnswer: s**(279\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396919662.\nAnswer: 2, 3, 66153277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-300)\/(-78) + (-72)\/39 + 2. Suppose -4*b = -2*q - 151 + 1525, -t*q - 4*b = -2712. What are the prime factors of q?\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90651\/16790 - -3\/3358. Sort -3, 4\/7, -4, l, -12 in ascending order.\nAnswer: -12, -4, -3, 4\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/6)\/(-1*2\/6). Sort 2, 5, x, 4 in descending order.\nAnswer: 5, 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011 (base 2) to base 14.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8 - (-424)\/128 - 1\/1 and 21\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3247 and 15770135?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*(sqrt(192) + 2)*-5*-5 + -1 + 5))**2.\nAnswer: 662400*sqrt(3) + 4396176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t + 2*t + t + t - 1 + 1 + (15 - 10 + 15)*(2*t + 2 - 2) + t - t - 3*t to the form d + s*t and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*o**6 + 681*o**5 - 2*o**4 + 3952867*o**2.\nAnswer: -6960*o**3 + 40860*o**2 - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*r**3 - 10*r - 204*r**3 + 6*r + 2511*r**2 - 2511*r**2 + 6*r.\nAnswer: -38*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2013*d**3*l**2 + 6*d**3 + 3942*d*l + 5*l**2 wrt l.\nAnswer: 4026*d**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354926.\nAnswer: 2, 11, 13, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1974179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -53. Calculate the remainder when 63 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/3 - 0)*54\/30. Suppose -5*n + 12 = -n. Suppose -n*u + 5 + 4 = 0. Solve u*y = -0*y - g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwwiwwwwwi?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:33 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 8) in base 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2020 divided by -4.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 37 + 97)*(-112*u + 110*u + 1 - 2)*(0 - 3 + 1) in the form n + t*u and give n.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g = -35*g + 3*a - 135, 4*g = -5*a - 153. Is -380\/9 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*n - k - 1649, k - 8 = 0. Calculate the least common multiple of n and 32.\nAnswer: 18016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1169943675 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -561, -2636, -6079, -10884, -17045, -24556, -33411?\nAnswer: -43604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -138.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-6))\/(a**(-5)\/a))**(-31) assuming a is positive.\nAnswer: a**(-403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 491 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*o + 40*o = -16. Suppose -8*l = -0*l - 0*l. Factor -1\/6*p**2 + l*p + 0 + 0*p**3 + 1\/6*p**o.\nAnswer: p**2*(p - 1)*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 0*d**2 - 3*d + 0 + 1\/4*d**4 - 1\/6*d**3. Let o be a(1). Solve -w + o*w = 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 7 + 0 + 25*p)*(1 + 2 - 4)*(2*p - 4 + 4 + (4 + 2 - 5)*(p - 3*p + p)).\nAnswer: -25*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*j - 8 + 2 + 16 - 7.\nAnswer: -91*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 = -5*w. Find the third derivative of 15*i**4 + 4*i**w + 9*i**4 - 34*i**4 wrt i.\nAnswer: -240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 + 3)\/(14\/2709). Let q(s) = -t + 2709 + 27*s. Let o(p) = 2*p. Calculate o(q(a)).\nAnswer: 54*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 287312691.58 and -0.05.\nAnswer: 287312691.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 41 = -169. Suppose 7*o - 2*o + h = 3*d, 2*o + 3*d = -12. Let m(x) = x**2 + 6*x + 7. What is m(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5064358 is divided by 361739.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 205099219 less than 205099219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 29068000 rounded to the nearest 100000?\nAnswer: 29100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6264 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98864773?\nAnswer: 7, 14123539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 393 - 2735.\nAnswer: -2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from {o: 1, x: 1, v: 1, y: 1, m: 2, u: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 6 + 8. What is the highest common factor of q and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 82687531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 + -1141\/9. Which is the closest to 2\/11? (a) -0.4 (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -27*z**2 - z + 2. Let l(b) = -205*b**2 - 5*b + 15. Let g(k) = -2*l(k) + 15*v(k). Calculate g(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*h - 52 = 0, 28 = 2*p - 3*p + 3*h. What is p rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**3*f*p - 88*b**3 - 15*b**2*f + 10*b**2*p - b*f*p wrt b.\nAnswer: 18*f*p - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 15*z + 90 = 0. Solve 6 = 3*j - v, j + 0 + z = 4*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + m - 31.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1234366*a**3*o**3 - 23780*a**3*o + 3*a**2*o**2 - a*o**2 wrt o.\nAnswer: -7406196*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i = -41*i + 42*i - 10110. What is the remainder when i is divided by 175?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2218, -2183, -2138, -2089, -2042?\nAnswer: -2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33127052\/2945 - -56243\/5. Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110212 (base 4) to base 15.\nAnswer: 5cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-10)\/(-15) - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5 + 2360*s**4 - 9172*s**3 - 119200*s**2 - 201424*s - 93760 = 0. What is s?\nAnswer: -4, -1, 10, 586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4910758486.\nAnswer: 2, 131, 1789, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 2*w + 7, -8 + 3 = 4*p + w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -8.8\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 3*f - 98. Let m = f + -5. Calculate the greatest common factor of 708 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/264 and 61\/36.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -27 + 30 - 1*3. Suppose m = 412*o - 407*o - 19225. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:38 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/10*(-8)\/(-28). Let c be (l - -4)\/((-2)\/(-4)). Factor -5*g + c*g**2 - 12*g**3 + 8*g**3 - 3*g + 2*g**2.\nAnswer: -4*g*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1710553348 to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1228 divide 332010024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -970 + 2530 = -156*t. Which is the nearest to 3? (a) -2\/7 (b) t (c) 0.3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (-1)\/2*(-126)\/(-9). Find the third derivative of -1038*c**4 + 19*c**6 + 17*c**2 + 1038*c**g wrt c.\nAnswer: 2280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -16 + 4. Suppose -18 = 3*n - t*l, 4*n + 31 = 3*l + 10. Let r be -2 - (n + -2 - -3). Solve r*x = -x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 8:14 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -63.63 != 1203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7)*(-77)\/66?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1022, 1399, 1776, 2153?\nAnswer: 2530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 9*a - 54 = 0. Suppose -4*g = b - 3*g - 28, 5*b + g = 148. Let u = b - 12. Calculate the greatest common factor of u and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/5707971 and -5\/116062077?\nAnswer: 348186231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/13)\/r*r)\/r**8 assuming r is positive.\nAnswer: r**(-92\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w = 5*g - 43 + 12, 4*w = 3*g + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940512 divided by 14?\nAnswer: 1470256\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16479, 18901, 22937, 28587?\nAnswer: 35851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111100110100 (base 2) to base 16.\nAnswer: 2f34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 4 + sqrt(1008) + -1*sqrt(1008))**2.\nAnswer: 16*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 38, 87, 154, 239, 342, 463?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 523*d + 301. Let p(j) = -523*j - 301. Let g(f) = 3*p(f) + 4*v(f). Find the first derivative of g(l) wrt l.\nAnswer: 523","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1905.1 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + 76. Suppose 2 + 8 = z*x, c = 2*x + 217. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3672 divided by -136?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -209*m + 4021. Calculate s(21).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 142*-0.4\nAnswer: -56.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 548 + 14?\nAnswer: 55c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 368*w**2 + 871180*w - 227057200.\nAnswer: -(w - 430)**2*(w + 1228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + l - 27. Let p(k) = -k + 4. What are the prime factors of p(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v + 16. What is q(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 - 327*s + 327*s)*(6*s + 0*s - 3*s)*(20 + 4 - 4) to z*s + u*s**2 + x*s**3 + p and give x.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1710 + 1879 - c**2 + 4319.\nAnswer: -c**2 + 4488","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3362937204.\nAnswer: 2, 3, 11, 25476797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 305 or 304?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 4. Let n = x + -4.9. Let g be 46\/(-10) - (-6)\/(-15). Put n, 5, g in decreasing order.\nAnswer: 5, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 g when four letters picked without replacement from {c: 8, r: 3, g: 7, l: 2}?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-3))\/(2\/834). Let o = -181 + q. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*p**2 + 2743*p - 5485*p + 2742*p.\nAnswer: -102*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 2. Find the second derivative of 66*s**g + 2*s + 3*s**3 - 66*s**2 wrt s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3727833 is divided by 745542?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -33, -1, 53, 135, 251?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4729655827 to the nearest integer?\nAnswer: 1679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*h**2 + 38 + 5*h**4 - 35*h**3 + 29*h**2 + 41 - 79.\nAnswer: 5*h**2*(h - 5)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1463*c**2 - 757*c**2 - 7*c**2 + 268*c**2 + 0*c**2 in the form l*c + h*c**2 + g and give h.\nAnswer: -1959","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 1:36 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 2:24 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*r + 18 + 21 = 0, 4*t = -3*r + 43. Solve -4*m - t + 15 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -15. Let l(d) = -34*d**q - 4 + d + 75*d**2 - 39*d**2. Suppose -x + 5 = b + 1, -3*b - 3 = -2*x. Give l(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*w - 17*w**3 - 220 + 220.\nAnswer: -17*w**3 + 219*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 162351990431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 + 15)*(-2 + 0 + 1)*(0 + 0 + n)*(-4 + 3 - 6).\nAnswer: 175*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 225432 by -3636.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -93.7737 to the nearest integer.\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 118*k*r**3 - 28*k*y + 39*k - 545*r**3 - 2*r**2*y - 34*y wrt r?\nAnswer: 354*k*r**2 - 1635*r**2 - 4*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 774*n*t**4 + 2*n*t**2 + 2*n*t - 5*n wrt t.\nAnswer: 9288*n*t**2 + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asxaxssa. What is prob of sequence saa?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -493 - -489. Suppose -10 = 4*j + 54. What is the units digit of 294\/k*j\/24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04224 - 31851813\nAnswer: -31851812.95776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5))**(1\/4)\/(v\/v**(2\/39)*v)**26 assuming v is positive.\nAnswer: v**(-623\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 29*y + 1. Is (y - -19)\/((-9)\/612*-4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/41, -204\/193093 in ascending order.\nAnswer: -3, -204\/193093, 1\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37838 - -37843. What is the third biggest value in p, 1\/2, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 11, f: 1}. What is prob of picking 2 o?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 251.7 - 251.2. Which is the second smallest value? (a) 0.001 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + 4 + (0 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316012641.\nAnswer: 3, 7, 15048221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23 - -23 - (17 + 2)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00144619 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:16 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*j = -3, 0*j - 3*j = d + 3. Suppose d = o + 2 - 6, 5*h - 2*o = 1047. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 594347.2 to the nearest 1000.\nAnswer: 594000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Let n(t) = 71 + t**2 - 192*t + 18 + 190*t. What is the units digit of n(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011100111011 (base 2) to base 14.\nAnswer: -81d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 931\/(-63) - ((-16)\/(-9) - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29334*((-133)\/14 - -9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1339*f - 664. List the prime factors of l(6).\nAnswer: 2, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65314 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5*sqrt(39)\/sqrt(3) + sqrt(13)))**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/2)*a**(-37) assuming a is positive.\nAnswer: a**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23185982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/50)\/(1\/2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1566 = 4*d, -4*d - 5*v + 792 = -782. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10946\/21 - 521. Suppose -5*t + y = -8, -2*y + 6 - 2 = 0. Calculate the common denominator of u and 218\/54 + (t - 4).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 4*d**2 - d + 4. Let w be z(4). Let c be -1*17*(w + -3). Suppose -7 = 2*y - c. Is y a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (21 + -2 + 0)*-1. What is the remainder when (h\/(-3) + 0)*6 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*q**2 + 1871 - 1868 + 61*q**2 + 53*q**2 to j*q + o + a*q**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000463 rounded to five dps?\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 1:28 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**5\/5 - 1581224*a**4\/5 - 83350637356*a**3 - 36628291977653736*a**2\/5 - 2891001568851871218*a\/5 + 585526055516858592 = 0.\nAnswer: -263511, -80, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004304858 to five dps.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*w**4 - 118*w**3 + 19*w**4 + 118*w**3 + (0*w + 3*w - 2*w)*(w**3 - 3*w**3 + 0*w**3).\nAnswer: 15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142431 is divided by 118.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 4*z - z + (2 + 1 - 1)*(0*z + 2*z + z) + (-3*z - 3*z + 7*z)*(-2 + 4 + 0).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1251636 and 0.4?\nAnswer: 500654.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 144, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 + 33. Suppose -3*a + 3*l - 76 + 7 = 0, -3*a = -4*l + 67. Let f = a - b. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 2. Determine x(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 28 = -4*k. Which is the closest to -2\/5? (a) -14\/17 (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/15, 1\/2, 0 in descending order.\nAnswer: 2, 1\/2, 1\/15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 18*r - 17. Let z be s(-17). Let b be (-6)\/2 - (z - 45). Find the first derivative of -9*l**2 + 11 + b*l - 42*l wrt l.\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1844385 - -3769678. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, w: 2}. What is prob of sequence gg?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6193*l - 397449 = 3015*l + 983*l for l.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 67737*w**2 - 4*w**3 + 2*w - 6*w**3 - 67735*w**2 in the form c*w**3 + h*w**2 + m*w + l and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52\/5 of a meter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4571377 is divided by 1572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 935*f**2\/2 - 3955. Let z(l) = -3*l. Determine t(z(m)).\nAnswer: -2805*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -801560 - 15*p**3 - 801460 + 1603020.\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16747, 33514, 50281?\nAnswer: 67048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4196.2 + -4129.2. Put u, -3\/5, 2\/9 in decreasing order.\nAnswer: u, 2\/9, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 20. Let v be 1\/5*s\/(-12). Let n = -0.491 - 0.009. What is the closest to -1 in v, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**4 + a**4 - a**4)*(a - 2 + 2) + 1679*a**5 - 27*a**4 + 24*a**4 + 3*a**4.\nAnswer: 1676*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 315 and 315 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, x: 1, n: 8, h: 7}. Give prob of picking 1 n and 2 h.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262360 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 5, -12\/101, -10\/3, 8.\nAnswer: -10\/3, -2\/9, -12\/101, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 123\/6 + -1*4\/8?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6. List the prime factors of 4*h\/(-2) + 16.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 1171 = -413*d + 13. Let o(x) = 3*x**2 - x - 1. Let f be 2\/(-7 - -1)*3. Let r be o(f). Sort 5, d, r in increasing order.\nAnswer: d, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000082936042 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l - 10*l = 21*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnn when four letters picked without replacement from nnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 12\/16*4. Suppose 10 = d - f. Let n = d - 13. Solve -n*p - 4*a - 6 = 0, 4*p - 5*a - 1 + 13 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**3 - 46902951*u**2 - 750446640*u - 3001785792 = 0?\nAnswer: -15634301, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q - 2*q + 0*q - 3*q. Let z(f) = 9*f. Give 24*n(j) + 5*z(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45645270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -5*j**2 - 3320585*j + 524777250 = 0.\nAnswer: -664275, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, 0, 0.05, -0.32?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)*u*u)**(2\/9)*u**(-10)*u**(-3\/2) assuming u is positive.\nAnswer: u**(-111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -615, -1415, -2537, -3981?\nAnswer: -5747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x**2 - 14. Let v(t) = -11*t**2 - 30. Give 13*d(l) - 6*v(l).\nAnswer: -12*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/2317275 and 151\/2718936.\nAnswer: 203920200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13311 and 306.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3 = -c. Suppose c*x = -2*j + 8, -j = -3*x + x - 4. Let a be 10\/j + 2\/4. Solve -a*h + 0 = 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3220)\/4025*(-10)\/6*6\/28.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35 - 0)*12\/(-20). Let u = a - 12. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 10 = -5*b + 3*q, 2*q = -4*b - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 50*k + 323. Determine z(-42).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 23974.\nAnswer: 23974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14868 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 71*x - 46. Let b(o) = -35*o + 23. Let q = 65 + -60. Let r(u) = q*b(u) + 2*t(u). What is the first derivative of r(m) wrt m?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151088 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 26 = -5*z, -2*z = -57*m + 54*m + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 14 = -2*a - a, 3*a + 2*f = 7. Let w be 6*4*4\/32. Solve 3*g + r + a = 4*g, 0 = 3*g + 3*r - w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 times 964?\nAnswer: 94472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4}. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-9)*6\/(-15). Let d = -1664 + 1666. What is the nearest to 0 in 0.5, -6, d, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 3*m - 10. What is u(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1221 divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/120*-5)\/(550\/15 - 35).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1105 and -23\/85.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d**2 + 6*d**2 - 10*d**2. Let b be r(-1). Solve -2*a = 2*k + 5 + b, 5 = -5*a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59 and 8?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 316223 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-3))\/2*(-8)\/16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -328949, -657903, -986857?\n\"Answer: -328954*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*(o*o*o**(-2\/19)\/o*o*o)\/o*o*((o\/o**(-7))\/o)\/o)**(-39) assuming o is positive.\nAnswer: o**(-8814\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7455 divided by 59\nAnswer: 7455\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2.7, 6, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/((-684)\/(-84) - 8). Solve 369*m - 362*m - s = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4477.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 52. Suppose -w*z = -3*x - 384, -3*x - 627 = -5*z - 147. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*t**3 - 3*t**2 - 2*t**2 - 360*t**4 + 355*t**4.\nAnswer: -5*t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 - 2*z**2 + 2*z**2 + (2*z + 2*z - 2*z)*(-10*z - 3*z**2 + 10*z).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172293 by 4.\nAnswer: 172293\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*s - 66*s + 9*s + 36*s.\nAnswer: -103*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1582 + -669. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*b + 179304 = -35*b. Let c = 34814 - b. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.0119, -2, -0.4?\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 4*c + 5. Let k(o) = 3*o**2 - 5*o + 6. Determine 5*k(s) - 6*v(s).\nAnswer: 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -2*y**2 - 8*y - 3. Differentiate c(g) wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**5 - 3039868*z**4 + 97279872*z**3.\nAnswer: -4*z**3*(z - 32)*(z + 759999)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23579693 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: Expand (k + 7*k - k)*(k**3 - k**3 + 2*k**3 + (2*k**2 - k + k)*(28*k + 57 - 57)).\nAnswer: 406*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6 + 2*i + 14*i - 2*i. Let k be z(6). Let l = -47 + k. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1015722043*r - 1073037466 wrt r.\nAnswer: 1015722043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260501 = -3031*i - 65197 + 62331 for i.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2. Let p(l) = -l + 2. Let h(j) = 42*j - 8. Let o = -28 + 34. Let z be (o + 19\/(-3))\/(1\/3). Let f(g) = z*h(g) - 4*p(g). Determine r(f(s)).\nAnswer: -1444*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 16) to base 3.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82137 + 82146 - 35*b + 0*b.\nAnswer: -35*b + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 5*x = 2*p - 5, -x - 3 = 0. Suppose 3*s = 3*t + 2 + 4, -4*s = -t - 5. Calculate the highest common factor of p and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/15, -20, -52, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706041.\nAnswer: 3, 7, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207126 - 0.09.\nAnswer: -207126.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j*y**2 - 107072*j*y - 14846*j + 2*y**2 + y + 1581 with respect to y.\nAnswer: -4*j*y - 107072*j + 4*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 371 and 53?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 9 = -4*m + 33, m = -5*n + 42. Let j = 5 + n. Let y = -8 + j. Let x(w) = -w - 1. Let b(d) = 5*d + 5. What is y*x(g) + b(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by 7?\nAnswer: -43\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = -0*y. Let p(t) = -19*t - 1. Let d be p(y). Is 23 a factor of ((-36)\/45)\/(2\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 10:07 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 587 (base 12) to base 7.\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-12 + 3 - -1). Let b be (-2)\/7 - m\/(-7). Suppose -8\/9 - 2\/9*r**b + 8\/9*r = 0. What is r?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171*w + 154*w + 200*w + 120*w to the form p*w + f and give p.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/(-3) - (11 - -34).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14208, 3, 4 in decreasing order.\nAnswer: 4, 3, 0, -14208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + 3 - (-2 + 3 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -1\/24*r**4 - 1\/6*r**3 + 0 + 2*r + 2*r**2. Let s(z) = -7*z**2 - 4*z - 4. Calculate -4*g(b) + s(b).\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 180760 times -0.1?\nAnswer: -18076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 12:38 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-21) + (-44)\/(-154).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5054 - 784 - 2*m + 4*m.\nAnswer: 2*m - 5838","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2*v - 20 = 0, 354 - 365 = -2*l - 3*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*n - t + 39, 3*t + 13 = 2*n. Let s(g) = -g**2 + 11*g + 2. Let a be s(n). Calculate the common denominator of -35\/12 and 1 + a*4\/(-128).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**2*g**2*l + 26*d**2*g**2*p + 248*d**2*g**2 + 3*d*g**2*l + 279*d*g*l*p wrt p?\nAnswer: 26*d**2*g**2 + 279*d*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -58, -96, -134?\n\"Answer: -38*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6581900189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**3*v + 4*j**2*v - 2*j + 329*v wrt j.\nAnswer: -9*j**2*v + 8*j*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x - 110 = 0. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(1\/2) + 6. Suppose -12 = -2*f - 3*w, c*f - 7 - 29 = -3*w. What is the tens digit of 126\/f - (-1)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879444.03 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqu when three letters picked without replacement from cuxcaqa.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9 + p + 2 + 9 - 6. Let k be d(-9). Solve 5*i + k + 0 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 - 54*y + 4. Determine v(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3361340 is divided by 1952.\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46170 by 1745.\nAnswer: -9234\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 3:21 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*c + 4*l - 65, -3*l = 9. Suppose -7605 = -c*w + 5*w. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2147 + 669 = 0. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + l + 3*l - 7 = 0, -5*l - 10 = -5*y. Suppose y*z - 11 = -b, 5*z + 2*b - 13 = -b. Calculate the greatest common divisor of 34 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009850122 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35630*s**4 + s**2 - 926012*s.\nAnswer: 427560*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 14) in base 4?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*(-9 - 0))\/((-6)\/2). Solve -5*n - 2*a + 25 = 0, 11 = -f*n + 9*a - 5*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111111100111101011101 (base 2) to base 16.\nAnswer: -9fcf5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/8 (c) -44 (d) -7\/3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 6*n + 2*n + (2 + 0 - 1)*(-4*n + n + n) - 8*n + 2*n + 0*n - 2.\nAnswer: -10*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + m**2 - 55326519876440 + 55326519876440 - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 - 1617 = 36*f - 98 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 63*s**2 - 550*s + 129. What is i(51)?\nAnswer: 3291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17236 by -2.\nAnswer: 8618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekzeexkeeku. What is prob of picking 1 k, 1 z, and 2 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43264388 a multiple of 1908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19.68675 and 0.8?\nAnswer: 15.7494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 45, 167, 459, 999, 1865, 3135, 4887?\n\"Answer: 13*f**3 + 7*f**2 + 10*f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 1. Let m(c) = -21*c + 21*c - 8 - 107 + 92*c**2. Let u(z) = -115*g(z) - m(z). Let o(n) = 2*n**2. What is o(u(r))?\nAnswer: 1058*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 1, d: 1, j: 1, x: 1}. What is prob of sequence xo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20691 - 20692. Let s = -1 - 1. Let o(k) = -k**2 + 2. Let a be o(s). Which is bigger: l or a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1064636385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 185, 186, 187, 188, 189?\n\"Answer: h + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9947 + -9941. Put -171, a, -3 in decreasing order.\nAnswer: a, -3, -171","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 - -5 - -4 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 427 - 1041. Is d less than -614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31042243 (base 6) to base 9.\nAnswer: 1608750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + p - 12 = c, 3*p = c + 14. Let j be 0\/c + -16 + 13. What is the hundreds digit of 6391\/28 + j\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 442 - 4004?\nAnswer: -3122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6098 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -8. Let q be j\/(-17) - (-2 + 2). Let w = -41\/68 + q. Sort w, 0.3, -0.4.\nAnswer: -0.4, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**4 - v**2 - v + 1. Let a(b) = 2589*b**5 + 5*b**4 - 5*b**2 + 508*b + 5. Let s(n) = -a(n) + 5*w(n). Find the second derivative of s(g) wrt g.\nAnswer: -51780*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 267 + -174. Suppose -2*q + x = 1. Suppose -12*r + q = -50. Calculate the remainder when 37 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 96.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123573 is divided by 479.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695 = -36*r + 41*r. List the prime factors of r.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 + (-1442)\/(-103) + 19\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-63)\/15)\/(1\/30). Let a = m + 122. Are a and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -15*i + 244. What is the remainder when 2\/((-24)\/i) - 2\/6 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 106288, 4 in increasing order.\nAnswer: -14, 4, 106288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + k = -2, 11 = 2*v - v - 2*k. Let q = -3 + 7. Suppose -5*j = -32 + 17. Sort q, j, v in increasing order.\nAnswer: v, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26)\/39)\/(4\/(-6)). Let h(y) = -y**3 + 2*y**2 + 5*y - 5. Let n(u) = -u + 1. Give g*h(v) + 5*n(v).\nAnswer: -v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 37*j**3 + j**2 - 5*j + 5. Let t(g) = -56*g**3 - 2*g**2 + 7*g - 7. Let o(z) = 7*i(z) + 5*t(z). Find the third derivative of o(v) wrt v.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 + (-19 - (46 + -43)) + 19?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/326865 and -79\/840510.\nAnswer: 5883570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36711235*x**4*z**2 - x**2*z**3 - 4*x*z**3 + 5*x - 6416*z**2 - 4*z wrt x.\nAnswer: -440534820*x**2*z**2 - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-171 - 0)\/(-1*(-19)\/(-38)) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166878736.94705805 - 166878756. Let z = 13.0529424 + a. Let w = -6 - z. What is w rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 502*y**2 - 11184*y + 65376.\nAnswer: -2*(y - 227)*(y - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0199455 rounded to four dps?\nAnswer: -0.0199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.5 + -1.3. Let s = c - -0.3. Let w be (26\/(-156))\/(0 + (-1)\/2). Put w, -3\/4, s, -0.1 in decreasing order.\nAnswer: s, w, -0.1, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -935475*q**3 - 741363*q**2.\nAnswer: -5612850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(2\/7))*d\/(d*d**(2\/7)*d))\/(d*d\/(d\/(d\/d**(-3)*d))*d*d*d**(-5)*d)*(d\/d**3*(d\/(d*d**5*d)*d)\/d*d)\/(d*d**(2\/3))**(-1\/25) assuming d is positive.\nAnswer: d**(-1313\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11051676 and 180.\nAnswer: 55258380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-48))\/(3 + 14\/(-6)) + (-945)\/(-60)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, n: 1, o: 2, k: 2}. What is prob of picking 2 f, 1 o, and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + 1*sqrt(136))*4 - sqrt(136) - 5*(sqrt(136)*-3 + sqrt(136)))\/(sqrt(392) + sqrt(392)*-2 - sqrt(784)\/sqrt(2)) + 4.\nAnswer: -17*sqrt(17)\/14 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 857028?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*h*h\/h**(-1\/5)*h*h)\/h)\/(h**(6\/13)\/h))**32 assuming h is positive.\nAnswer: h**(11936\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-35)\/(-4))\/((-1)\/(-4)). Let k = 38 - o. Let v be 5\/(-2)*(-2)\/(-1). Put k, 1, v in decreasing order.\nAnswer: k, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-220)\/22 + (-3016)\/(-299).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 38?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6680 = 17*j - 3673. Suppose -5*n - 2*y + j = -y, -4*y - 226 = -2*n. What are the prime factors of n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9\/4 + 1\/(-4). Let t be (w\/24)\/(9\/12). Let v = 7\/9 - t. Which is the second biggest value? (a) -2\/13 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534590 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1350*q**2 - 1066*q**2 - 1126*q**2 + 3544*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 = 26*i + 84*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.01, -3\/2, 1 in increasing order.\nAnswer: -3\/2, 0.01, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 1813.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**4 - 3*h**2 + 2. Let y(k) = -5*k**4 + 4*k**2 - 3. Let p(o) = 3*r(o) + 2*y(o). What is the third derivative of p(q) wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -487, -488, -489, -490?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -990 = -22*j + 24*j. Let b = 382 - j. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1128, -1112, -1076, -1014, -920, -788?\n\"Answer: b**3 + 4*b**2 - 3*b - 1130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26402)\/(-46971) - 6\/51.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11111 + -20122202?\nAnswer: -20133313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + f = -393470, 44*h - 48*h + 4*f + 393452 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-147)\/(-6)))\/((((-732)\/(-2016))\/(-61))\/(-1))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 124 + 11. Let d = -5950 + 6058. Calculate the greatest common factor of k and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 341*m + 25658. Calculate z(112).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 347579, 347576, 347563, 347534, 347483, 347404?\n\"Answer: -b**3 + b**2 + b + 347578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-10)\/d)\/d**(2\/3))\/(d**(3\/8)\/(d**(1\/2)*d)) assuming d is positive.\nAnswer: d**(-253\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*b - 41*b + 13892 = -252*b for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 358 - 2500\/7. Which is the second smallest value? (a) -0.3 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*z - 1671*x + 1675*x + 12, 2*x - 44 = -11*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2531 - -2553. What is the greatest common divisor of l and 1232?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -12 - 1 - (43 + 19 + -42).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express x + x**3 - x + (x**2 + x - x)*(-11*x - 825 + 825) + (-x + 2*x + 1 + 2*x)*(x + 2*x**2 - x) in the form k*x**3 + c*x**2 + d*x + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*m - 38684 = -7370 for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4028497439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 935266003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169 - 169. Solve -5 = -b, z = 2*n + 5*b - 3*b - 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + -6 - -2) + 7722 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + -7 - (29 - 31).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10896738053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-32)\/(-28)*(-6)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -a2e7fc (base 16) to base 14\nAnswer: -15bca72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -450*c - 5*a - 25 = -447*c, -a - 27 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 11*x - 13. Give b(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 1 + 2 - 1*-2. Suppose -z*s + 32 = 32. Which is bigger: s or -11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5338*y - 26695. Determine u(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:57 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 2, -572, 8, -5, 1 in decreasing order.\nAnswer: 8, 4, 2, 1, 0, -5, -572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000433476 rounded to 6 dps?\nAnswer: 0.000433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/16)\/(1\/4). Suppose b + 7 = -4*o. Let k = -2 - -2. Sort 0.5, o, k in decreasing order.\nAnswer: 0.5, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2\/9*k**3 + 52\/9*k + 2*k**2 + 16\/3 = 0.\nAnswer: -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4885483\/435 - 11231. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 32 = -3*t, 5*y = -337 + 297. Let r = 34 - 20. Let m be 3 + 0 + (-38)\/r. Which is greater: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(28 + 6 + 0)*(29*g**2 - 4055 + 4055).\nAnswer: 986*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -51*j**3 - 6*j**2 - 52*j - 31. Is k(-9) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -4, 2\/233, 1?\nAnswer: 2\/233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6694611 (base 11) to base 12\nAnswer: 3b1a27b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 639959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 w when three letters picked without replacement from {a: 3, s: 2, g: 9, k: 2, w: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwy when three letters picked without replacement from {c: 2, y: 1, w: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-25 + 15 + 11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 17 in increasing order.\nAnswer: -4, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwrwr. Give prob of picking 1 w and 1 r.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1132012303030 - 10?\nAnswer: -1132012303100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2863886*u**3 - 29*u**2 - 165105622*u?\nAnswer: -17183316*u - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 242 or 244?\nAnswer: 244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/7 + (2187\/21 - 1). What is the tens digit of (-2 + 6\/2)*k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 409797*p**3 + 0*p - 409790*p**3 - 232 - p as z + i*p + r*p**3 + l*p**2 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 436, 695, 840, 871?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15\/43 - -69\/172. Let r = -0.8 - -1. What is the closest to -1 in 0, r, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.03 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1124.3528 - 1123.8328041. Let i = 0.52 - f. Round i to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/13500 and 81\/8000.\nAnswer: 216000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7669652900 rounded to the nearest one million?\nAnswer: -7670000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 134.63 times 0.83\nAnswer: 111.7429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, o: 4, q: 1, r: 2, l: 1}. Give prob of sequence lqz.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 8. Suppose -a*v + 14 = 3*x - 5*x, -3*x = -5*v + 31. Is 3 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighty-one halves of a year?\nAnswer: 486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302 = -5*t + 118. Suppose 2*j = -2*j + t. Suppose -n = 5 - j. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 3*t - t - 6*t**2 + 3*t**2 - 32690.\nAnswer: -t**2 + 2*t - 32690","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2. Let t(a) = 5*a**2 - 1. Let i(z) = -16*z - 579. Let q be i(-36). What is q*t(w) + 8*b(w)?\nAnswer: w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 7 = -3*k, 69 = -2*m - k + 6*k. Let o = m - -26. Solve -2*y + y + o = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 363 + 88 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/8? (a) 2\/7 (b) 225 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by 29479\nAnswer: 59\/29479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/5 - 10*f**3 - 911*f**2\/5 + 192*f = 0. What is f?\nAnswer: -15, 0, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 26*n**3 + 2*n**2 - 2*n - 2. Give c(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6042 and 2166.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -147*m**5\/20 + m**4\/12 - 421*m**3\/2 + m**2\/2 + 2*m + 672. What is the third derivative of o(l) wrt l?\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*r + 34*r - 93*r + 26*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24*p**3 - 2*p**2 - p - 38 wrt p?\nAnswer: 144*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 2*g. Let f(z) = 2*z**2 - 3*z. Let y(x) = 4*f(x) - 6*k(x). Let h(l) = 7*l**2. What is h(y(t))?\nAnswer: 28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 9 - 39. Let u(o) be the third derivative of o**6\/120 + o**5\/10 + o**4\/12 + 7*o**3\/3 - 2614*o**2. Calculate u(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 228\nAnswer: -5\/228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10*u**2 + 7*u - 4. Let l be m(-8). What is l rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 1, -3, 2 in ascending order.\nAnswer: -50, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26000146, 52000297, 78000448, 104000599?\nAnswer: 130000750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/10*(-2)\/(-16). Solve j = 5*w - 14*w - 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(2*k + 2*k - 6*k) + 2*k + 2*k - 5*k + (2*k + 0 + 0)*(-4 - 3 + 6) - 3*k + 10545 - 5039 - 5292.\nAnswer: -10*k + 214","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151644028 divided by 75822014.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/9)\/((-2)\/762). Let v = 132 - 129. Suppose f - 242 = -5*b, -l = -5*b + v*f + 127. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 2620*k**3\/3 - 237*k**2\/2 - 17*k + 2. Is m(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 13*g = 2*d - 1, 4 = 19*g - 5*d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f**3 - 2*f**2 + 8*f + 3. What is the hundreds digit of j(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - c - 2, 3*y - 2*c - c = -3. Suppose y*p = 6 + 9. Let r(x) = 10*x + 11. What is the tens digit of r(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 < -2647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 13. Determine o(24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2038940 to the nearest 10000.\nAnswer: 2040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**3*o**4 + 3*n**3*o**2 - n**2*o**2 + 2*n*o**4 - 45*o**5 + 754 wrt o.\nAnswer: 96*n**3*o + 48*n*o - 2700*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2. Suppose 5*o - m - 11 = 3, 4*m + 6 = -5*o. Let q(u) = -u + 4. Let r be q(o). Which is bigger: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70037753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.344 + 170.756. Round x to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1309, -4894, -10843, -19144, -29785, -42754?\nAnswer: -58039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1626 - -210?\nAnswer: -1416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 17*l**2 + 13*l - 1. Determine h(16).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 631*i + 192*i to x + m*i and give m.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**5 + x**4\/6 + 28*x**3\/3 - 19*x**2 + 43*x\/3 - 23\/6 = 0.\nAnswer: -23\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 43 - 11. Let h = f - -9. Let q be 5 - h - (0 - 1). Solve -k = 3*a - 6*a + 10, 0 = -q*a + k + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 14925922*y**2 + 27847885980798*y - 27847900906722.\nAnswer: 2*(y - 1)*(y + 3731481)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + (sqrt(245) + 1)*2 + (sqrt(245) + sqrt(245) + 2)*-3 + (5 + sqrt(720))*2*3)*3)**2.\nAnswer: 23868*sqrt(5) + 123129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/48*-9*2. Let p be (1\/(22\/8))\/2. Put p, t, 4 in ascending order.\nAnswer: t, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12756040*y - 26630170.\nAnswer: -12756040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 474*n**2 + 4485*n + 4008.\nAnswer: -3*(n - 167)*(n + 1)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 1, 37, -1, 2, -109 in descending order.\nAnswer: 37, 4, 2, 1, -1, -2, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/7)*u**13)\/(u**(2\/11)*((u\/(u**7*u))\/u)\/u*u))**40 assuming u is positive.\nAnswer: u**(63680\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1210230 - -10220323?\nAnswer: 3010033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, 0, -1, -635, 5.\nAnswer: -635, -14, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.7382 to 1 dp.\nAnswer: -100.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -3*l**5\/10 + 73*l**4\/6 - 260*l**3\/3 + 3857*l. Let f(y) = 0. What is y?\nAnswer: 0, 13\/3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -207\/19288?\nAnswer: -207\/19288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2 - 12*y + 8. Let f(c) = c**2 + 4*c - 3. Suppose -1 = -4*x + 5*i - 28, 2*x + 12 = 2*i. Calculate x*s(b) - 8*f(b).\nAnswer: b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*-1 - sqrt(1470)*2)\/(2*(sqrt(250) - (-3*sqrt(250) - sqrt(250))) - sqrt(250)))**2 + 2.\nAnswer: 1606\/675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 13*s**2 - 2. Let a(g) = 10*g**3 - 2054*g**2 + 1375*g - 227. Let k(j) = a(j) + m(j). Determine w so that k(w) = 0.\nAnswer: 1\/3, 229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9093 is divided by 2984?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22167504.\nAnswer: 2, 3, 153941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8\/15 + 1\/5. What is the closest to x in 0.1, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.34 in -0.0348, -93, -0.5?\nAnswer: -0.0348","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8025*t. Let v(z) = -z. What is v(k(x))?\nAnswer: -8025*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-252)\/168*(-3 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*g + 5*g + 112 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 810\/180 + (-10)\/4. Let d(r) be the first derivative of 15 + 0*r + 3\/2*r**b. Let l(j) = -3*j**2. Determine d(l(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33.3 - 4.3. Let b = -29.000271 + g. Round b to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z + 83 - 86 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -657*a + 330*a - 48 = -335*a. Let z(f) = 2*f**2 - 9*f - 1. Calculate the remainder when z(7) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 29*n + 11*n + 41*n**2 - 11*n**2 + 20*n in the form y + m*n + u*n**2 and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 712753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g - 35. Suppose 2*p - 6 = 28. What is the remainder when p is divided by i(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-49)\/(-78) - 7\/(-126)*-3. What is the biggest value in x, 0.3, -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 232 + -201. Sort -4, 2, f, -5 in descending order.\nAnswer: f, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5961261*w - 14029231 wrt w?\nAnswer: 5961261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 times 13404?\nAnswer: 442332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8\/133, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*a + 4*z + 89, -4*a - 15 - 12 = 3*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240.173118 less than 1.05?\nAnswer: -1239.123118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 398*w + 10 - 1386*w + 11.\nAnswer: -1784*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, u: 3, q: 1, y: 1, g: 2}. What is prob of sequence ugqy?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2 - (13 + -8). Let c(m) = 9*m + 1. Let u be (-2092)\/28 + 3*2\/(-21). Let s = 77 + u. Let t(w) = 4*w + 1. Give f*t(b) + s*c(b).\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2704*t + 2590*t + 3648 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n. Let x(j) = -3*j + 1. Let m be x(-5). Let g(b) = -5*b + m*b - 4*b. Determine g(f(h)).\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -494 + 1424. What are the prime factors of z?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -8. Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 3*r + 6. Solve -2\/9*y + 2\/9*y**4 + 0 + 2\/3*y**r - 2\/3*y**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 73*r**2 - 263*r - 16671. Determine u(79).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*y + 39*y**2 - 165 - 154 - 45*y**2 + 484 - 164.\nAnswer: -6*y**2 - 76*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 17 = 3*r - 3*j, 0 = -r + 2*j + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**5 - 20*a**4 - 66*a**3 - 88*a**2 - 40*a = 0?\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-115)\/(-25) + -2 + 24\/10. Suppose -2*h + 10 = -0*j + 4*j, -5*j = -k*h - 50. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 4363 + 2630 + 3175 to the form d + w*n and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (190\/20 + -11)*116*(-11)\/(-66)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65186587.9102 - 5.\nAnswer: -65186592.9102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/37592447 and 64\/2425.\nAnswer: 939811175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 - 9*h**2 - 12*h**2 - 9*h**2. Let r(l) = l - 5. Let c(z) = z + 5. Let g(x) = -4*c(x) - 4*r(x). What is a(g(f))?\nAnswer: -1536*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + -2 + -1*sqrt(396))**2*3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11\/(-22)*59*-4 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3*m - 238*h**3 + h**2*m - 36*h**2 wrt h?\nAnswer: -12*m - 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2 - 3*j. Let y(f) = 14*f**2 + 5*f + 4. Let o(a) = -a**2 + a - 1. Let z(p) = -4*o(p) - y(p). Calculate -7*s(r) + 2*z(r).\nAnswer: r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nk when two letters picked without replacement from annkkenkaqaqeqnnkn.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-30)*5\/(-2). Suppose -2*w = -w - b, 5*h = w + 253. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (5 + -5)) + (7 - 6) - -32\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1212c3 (base 15) to base 11\nAnswer: 540680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 + 69*x**2 + x + 27. Let t be m(-23). Which is the third smallest value? (a) -4 (b) 0.4 (c) t (d) -52\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -82, -197, -368, -601, -902?\nAnswer: -1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/2)*p*p\/(p**(3\/13)\/p)*p*p)\/(p\/p**(-1\/21)*((p\/((p*p\/((p*p**(-3))\/p))\/p))\/p)\/p) assuming p is positive.\nAnswer: p**(3943\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1807 + -1807. Factor x + 3\/2*q**2 + 0*q - 3\/2*q**3.\nAnswer: -3*q**2*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 + 2*h - 5*h + 2*h - 4 in the form t + j*h**2 + a*h + o*h**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 15 = -5*k, k + 4*h - 131 + 134 = 0. Let v = 25\/4 + -67\/12. What is the fourth smallest value in k, 11, -0.2, v?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(19) + sqrt(19)*-3) + sqrt(171) + -3)**2.\nAnswer: -78*sqrt(19) + 3220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7 = -19. Let f = 10 + z. Suppose 0 = 2*i - 3*i - k + f, 8 = 4*i + 2*k. Is 2\/15 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + f**2 - 5*f**4 + f**4 + (3 + 3*f - 3)*(-2*f**3 + f**3 + 0*f**3).\nAnswer: -5*f**4 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 754430855?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 89 - 54 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178828 = -365*u - 175178 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, q: 6, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 12 = -3*v. Let w be 1\/(-2)*(-8 + v). Let o be (-130)\/(w + (-27)\/12). What is o rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32757 and 448395.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003368378194 rounded to 7 decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -2, -17, 2.\nAnswer: -17, -2, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4189*u + 11943*u - 3788*u.\nAnswer: 12344*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/5 + 1790*h**2 + 35680*h + 178200 = 0 for h.\nAnswer: -4455, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4567425*-7.\nAnswer: -3.1971975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**6\/120 - j**5\/6 - j**4\/8 + 3*j**3 - 3*j**2. Let a be l(10). Is (-1)\/((a\/356)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 0.73415506?\nAnswer: -0.33415506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*l + 4*b, l + 2*b + 2*b + 19 = 0. Let f be (1 - (l - -4)) + 1. Let z(u) = -2*u + 2. Let s be z(f). Solve 2*m - 4*m - 4 = s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/59 + -149\/413. Let b = -65 - -64.71. Let x = 5.29 + b. Put s, 0.4, x in increasing order.\nAnswer: s, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 52*t + 21*j + 300, -9*t + 2*j - 12*j + 9*j - 57 = -2*j for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*m - 35*m + 9 + 15*m)*(-4 - 2 + 3)*(-1 + 1 + m).\nAnswer: -3*m**2 - 27*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -51*r**2 - 204*r + 1382. Determine u(5).\nAnswer: -913","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 + 2*c + 84 - 45 - 2*c**4 - 37 as v*c**2 + i*c**4 + j*c**3 + a*c + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 81*g**3*z**3 - 12*g**3 + 3*g**2*z + 357*g*z + 1648 wrt z?\nAnswer: 243*g**3*z**2 + 3*g**2 + 357*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 - 440*x**2 + 1768*x - 5312\/3.\nAnswer: -2*(x - 2)**2*(x + 664)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j, 3*o = 3*j + 6 + 6. Solve 4*c + 5*g - g - 16 = 0, -g + o = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssqqyys. Give prob of picking 1 s, 1 y, and 1 q.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -23. Suppose -50512 = -5*b + 4*k, 2*b + h*k - 20191 = -0*k. Round b to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 4 (c) -157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -1656\nAnswer: -331.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -556 * -0.09.\nAnswer: 50.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 6*x**2 + 8*x - 3. Let p be r(7). Suppose 15 = -7*j + p*j. Let g(n) = n**2 + 4*n + 2. Calculate g(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 1. Let a = 10 - 8. Suppose -6*o - 5 = -o - 5*b, -b - a = -2*o. Suppose -4*n = -2*k, -5*k - 2*n = o + 9. Give l(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p - 2. Let k be g(0). Let z = 153 - 109. Is ((-3641)\/z)\/(k\/40) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g*m*n*x**2 + g*m*x**3 - 148*g*n**3*x - 30*g*n**2*x**2 - 8*g*n**2 - m*n**3*x**3 wrt n?\nAnswer: -888*g*x - 6*m*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2. Let z = -74 - -78. Let k(r) = -37*r - 6*r - 16*r - z*r. Give k(c(v)).\nAnswer: -126*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 66\/15*(-325)\/(-10) + -3. Suppose -12*i**2 + 1964 + 1949 - m*i - 4001 = 0. What is i?\nAnswer: -11, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 8\/(-76) - (844\/(-76) + -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122102022 (base 3) to base 4.\nAnswer: 3012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13018 + 36942 = 942*i - 3178 - 36954 for i.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1688*v + 205957. What is n(-122)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004 is divided by 244.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 f, and 1 m when four letters picked without replacement from mftgmbet?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5155, -20605, -46347, -82381?\nAnswer: -128707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 195*y**3 - 143*y**2 + 6. Let r(i) = 388*i**3 - 286*i**2 + 11. Let z(q) = 11*o(q) - 6*r(q). Find the third derivative of z(d) wrt d.\nAnswer: -1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(2\/19)*a)\/(a\/(a**(-2\/69)*a)))\/((a**(-27)*a)\/a**(1\/25)) assuming a is positive.\nAnswer: a**(954286\/32775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*p + 1841, 3382 = 3*s - p - 2161. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + (2\/(-4) - 4). Let p = 575\/2 + -280. Which is smaller: j or p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208*h**5 - h**2 + 2*h + 44.\nAnswer: -4160*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -120.4083962 to one decimal place.\nAnswer: -120.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.74 - -0.11. Let h = 76 + -57. Let t = h - p. Which is the third biggest value? (a) t (b) -2\/9 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - 0) + (24 + 1 - (-483 - -502))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12000001211101 (base 3) in base 11?\nAnswer: -1556443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032825858 rounded to 7 dps?\nAnswer: 0.0003283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**3 - 83*u**2 + 30*u + 61. Let h be f(-28). Solve 2*j - h*w = 5, -4*w - 1 = j + 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**4\/12 - u**3\/6 + 21*u**2\/2 + 7*u. Let t be w(0). Let g = -16 + t. Solve 12 = -g*z + z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16396 in -0.2, 0.4, 0.5, -3, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 5*j + 4. Let u be r(-4). Suppose -4*h - 17 = 3. Which is the smallest value? (a) h (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of u**3\/3 + 5*u**2\/2 + 3*u + 3. Let t be p(-3). Suppose 3*q = 3*n - 0 - 3, -3*q = 2*n - 17. Sort -5, n, t in decreasing order.\nAnswer: n, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -40*j + 95. Solve 3*q = -3*w - 3, w - j*q = -3*w - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 n, and 2 r when four letters picked without replacement from {r: 3, n: 2, e: 8, s: 1, x: 1, c: 5}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2495, 2647, 2763, 2825, 2815, 2715?\nAnswer: 2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13463015 divided by 83.\nAnswer: -162205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 6*v - 2. Let u be r(-5). Suppose -u*k + 5 + 1 = 0. Is k bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/115318?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**4\/7 - 1924*h**3\/7 - 3868*h**2\/7 + 1924*h\/7 + 552 = 0.\nAnswer: -2, -1, 1, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -57330 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/14 - 165856\/(-56). Let s = k - 1485. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*n**4*t**2 - 103*n**4 - n*t**2 + 1017*t**2 wrt n.\nAnswer: 216*n**2*t**2 - 1236*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.54 - -1.84. Let f = 508\/5775 + 2\/275. Which is the closest to 2? (a) f (b) i (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t - 46*t = 96*t - 1034 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2423, -8658, -18771, -32768, -50655, -72438, -98123?\n\"Answer: -o**3 - 1933*o**2 - 429*o - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**2 + 46*i + 7. Calculate q(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5045, -10090, -15157, -20258, -25405, -30610, -35885?\n\"Answer: -2*m**3 + m**2 - 5034*m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - (-1 - 0 - 4). Let j(y) = 177*y**2 - 3*y - 4. Let b be j(s). What is the highest common divisor of b and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -48. Let i be (-1 + 0)\/(1\/3). Let n be i\/((1 - 0) + 0). Is n bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 10:02 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 4. Let r(n) = -75*n + 120. Let b(u) = -30*q(u) - r(u). Let y(z) = -z**2. Give b(y(p)).\nAnswer: -105*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -97675315.43 to the nearest one million.\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10753994*b**3 + 552*b**2 - 2873*b - 2.\nAnswer: -64523964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -69, -1774, -247 in descending order.\nAnswer: -69, -247, -1774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**3 + 246*o - 12. Calculate h(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 510.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1103610 by -220722.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1549673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.135 from -0.093.\nAnswer: -1.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 142357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000546686 rounded to seven dps?\nAnswer: 0.0000547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 42*c**2 - 36*c - 159. Let a be x(22). Put -6, -11, -2, a in ascending order.\nAnswer: -11, -6, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -560 and -2\/87 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -2*(1*sqrt(99) - sqrt(99)) - -2*sqrt(99)*2)\/(2*sqrt(225) - (sqrt(9) - (sqrt(9) - sqrt(27)\/sqrt(3))*-4)).\nAnswer: 5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -199796547029 and -139.\nAnswer: -199796547168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -337937486*c**2 + 276121683.\nAnswer: -675874972*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16124 and 16.\nAnswer: 64496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 - 56. What is the smallest common multiple of (-1)\/(-2) - b\/8 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13838*w + 3. Let b(c) = 4*c**2. Determine s(b(p)).\nAnswer: 55352*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 0.2, -7064, -75\/62 in decreasing order.\nAnswer: 0.2, -2\/17, -75\/62, -7064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = -130*j + 153*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2288*j + 64053. Give o(28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3209, -10613, -22193, -37949, -57881?\nAnswer: -81989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3155 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -211.02 - -209. Let j = -46.02 - -46. Let d = j - x. Is d < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*x**3 + 59*x**3 - 121*x**3)*(-5*x**2 + 14*x - 14*x).\nAnswer: 555*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 384 - 384.5. Suppose 3*h - 5*i + 11 = 0, -3*i = -2*h + 4*h + 1. Let w be (1 - 3)\/(-10)*h. What is the third smallest value in w, c, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -i**4\/12 + i**3 - 3*i**2\/2 + 2*i. Let f be h(5). Let x(b) = b - 1. Let v be x(3). Is f <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/8)\/(6\/140)*(-88)\/(-220)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 100123*j + 1201588. Calculate f(-12).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 85\/6 of a day?\nAnswer: 20400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1232748700 to the nearest 1000000.\nAnswer: 1233000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-9)\/(-9))\/((-5)\/2))\/2. Let f = 0 + 4. Let q be 15\/f + -10 + 6. Put -2\/25, 2, c, q in decreasing order.\nAnswer: 2, -2\/25, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**25*y**(-6\/13)\/y assuming y is positive.\nAnswer: y**(306\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12*s**2. Let g be (-4)\/10 + 54\/10. Let o(u) = -3*u. Let y(v) = -10*v. Let z be 30\/(-8)*(-64)\/(-24) + -6. Let j(n) = g*y(n) + z*o(n). What is j(f(l))?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*g + 2*p + 4, 20 = 4*g + 4*p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2. Suppose 5 = l + v. Suppose -5*y + 60 = 2*s - 5, 2*s - l*y - 56 = 0. What is the remainder when s is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2379)\/846 - -3 - 9\/48*160\/180.\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 3\/7 (c) -0.3 (d) -0.4 (e) 1\/2352\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g. Let i(l) = l + 10. Give s(i(x)).\nAnswer: 7*x + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g**3 - 3 - 27*g**3 + 3 + 51*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 116088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 20 - 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*v - 3 = -87*v - 3*r, -17*v + 3*r + 54 = 0. Solve 2\/9*s**v - 8\/3 + 32\/9*s - 14\/9*s**2 = 0 for s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(-80)*(-56)\/(-21). Let f(b) = -9*b + 5. Determine f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 1)*(2*b**5 + 0*b**5 + 0*b**5) + (0*b + 0*b + b**4)*(-b + 0 + 0) + 1 - 1 + 2*b**5 + 693*b**5 + 6702*b**2 - 6702*b**2.\nAnswer: 692*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8539 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*z**4 - 2*z**2 - z**4 - 3*z**4 + (2 - 2 - 3*z)*(-3*z**3 - 2*z**3 + 0*z**3).\nAnswer: 21*z**4 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 3*t - 1. Let m be v(2). Suppose -m - 5 = -2*b. What is the units digit of (3\/b - -165)*(-2)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x - 171970 + 172070 = 0. What is the least common multiple of 4678 and x?\nAnswer: 9356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-14))\/(3\/42). Suppose -t = -5*y + 2*t + 16, -2*y = 4*t + m. Suppose y*f - 5*b - 22 = 0, 4*f + 5 - 37 = 4*b. Solve 3*q + 9 = -f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 1\/12*s**4 + 0*s + 1\/20*s**5 - 1\/3*s**3 + 61*s**2 + 0. Let z(u) = -7*u**2 - 5*u + 4. Calculate -5*t(a) - 2*z(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((1 - 4)*1)\/(-1). Suppose f*i + 2*i - 640 = 0. What is the remainder when 31 is divided by (6\/(-4))\/((-24)\/i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 3*k - 777. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-21) + (-250)\/(-7). Let k = 70 - d. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 + 64. Let q be 6\/(-18)*s*(-18)\/10. Solve -n + z = 0, 4*n = q*n - 4*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1374980579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.19 - 29.7. Round t to 2 decimal places.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -5*u**3 - u**2\/2 + 12*u + 5. Find the second derivative of k(i) wrt i.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by 16.\nAnswer: 67\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10089 is divided by 992.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5759*v**3 - 2887*v**3 - 2869*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**2 + 3 - 3 + (o + 4 - 4)*(2 - 2 - 2*o) - 3*o**2 + 2 - 2 + 2*o**2 + 0*o**2 - 4*o**2 + (30*o - 348*o - 3*o)*(o + 2*o - 2*o).\nAnswer: -330*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 52\/24 - 1\/6. Suppose 4*h - 40 = -n*p - 6, -p = -1. Suppose h*u - 704 - 1312 = 0. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/2*355\/(-994)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 2}. Give prob of sequence uuf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 24 = -19 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*j - 202*j + 406*j - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -89, -97, -109, -125, -145, -169?\n\"Answer: -2*c**2 - 2*c - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 135360*s + 80. Let g be m(2). Round g to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Suppose -3*o - 3 = -2*y, 2*y + 4*o - 1 = 3*y. Find the second derivative of -7*j**2 - 7*j - 3*j**k + y*j wrt j.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - (-50)\/8) + 143\/4 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4 - 21464*g**3*w - 47*g**2 + 2463*g*w wrt g.\nAnswer: -24*g - 128784*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-230)\/(-69)*78\/10 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 35495332 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h - 72 = 0. Let a be (-72)\/(-32) - 2\/8. Suppose -3*m + 2*m = 5*w + 6, 4 = 2*m + a*w. What is the smallest common multiple of m and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -5*g**7\/42 - 19*g**4\/12 + 3*g**2. Find the second derivative of b(s) wrt s.\nAnswer: -300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151122073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 13*o**2 - 2*o - 10. Let x be h(-13). Suppose -x*a = 6*a - 5764. List the prime factors of a.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789329686?\nAnswer: 2, 17, 23, 1009373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1811*p - 896*p - 915*p - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694)*1 + sqrt(14) + sqrt(126)\/sqrt(9)*-5)\/((sqrt(3388)*1)\/(1*sqrt(484) + sqrt(484))).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -1.1491, -0.05, 0.3, -11\/2, 3, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 72*g**2 - 84*g - 819. Calculate z(-71).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235616092.\nAnswer: 2, 43, 1369861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52132.74m in kilometers?\nAnswer: 52.13274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 3*f + 17. Let k be d(6). Let h(b) = -557*b**3 - b**2 - 2*b - 1. Is h(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - k + 1. Let v be w(1). Let j be 4\/v + -1*1. Let c(x) be the first derivative of 2*x**4 - x**3\/3 + x**2 - x - 10. Determine c(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x = 447656 - 4460432. What are the prime factors of x?\nAnswer: 55733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 41*k**5\/10 + 391*k**3\/6 + 94*k**2. Differentiate o(n) with respect to n.\nAnswer: 492*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*d + 5*n = -528*d + 115, 95 = -5*d + 2*n - n for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102074 is divided by 2165?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 2:06 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -91*p**6\/2 + 3*p**4\/4 + 219*p**2 - p + 2299. Find the second derivative of u(i) wrt i.\nAnswer: -5460*i**3 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3. Suppose -4*j = -8 - 12. Suppose -2*h = -j - 17. Let w(t) = -t**3. Calculate h*w(m) + 4*i(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 164304 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -155*q + 15. Let t(g) = 22*g - 2. Let d(l) = 3*j(l) + 20*t(l). Let b be d(-6). Let p = b - 70. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -127357*d + 3311287. Give i(26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 108008 + 1\/(-1) + 1. Suppose -m = -0*t - t. Suppose 2*r - t = -4*l, 3*l + 4*r + 26984 = 4*l. What is l rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 124850 and 9988.\nAnswer: 249700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-215)\/9 + ((-9880)\/(-342) - 30)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0*v - 3\/8*v**4 + 0 + 0*v**3 + 6*v**2. Let b(k) = -k**2. Let h(t) = 10*t**2. Let g(q) = -18*b(q) - 2*h(q). Calculate p(g(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 128082128 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.875 + -0.025. Let v = -142.6 + 137. Let m = v - y. Sort m, -2\/33, 0.4 in descending order.\nAnswer: 0.4, m, -2\/33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*l - n - 15, -3*l + 9 = -n. Suppose l*x - 3 = 33. What is the common denominator of 8\/x + (-88)\/(-18) and -37\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3990 and -0.3.\nAnswer: -1197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14080 and 352.\nAnswer: 14080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 + n**2 - 5*n**2.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1510 and 29227560?\nAnswer: 29227560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 9*b + 9. Let v be h(5). Let c = 23 + v. Let y be (-1 - 2)*(-16)\/c. Let u(l) = l**3 - 3*l**2 - 5*l + 4. Calculate u(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2. Let p(z) = -4*z + 5. Let f(g) be the third derivative of g**4\/12 - g**3\/3 - 3*g**2. Let l(y) = 5*f(y) + 2*p(y). Determine q(l(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + 10 + 12 + -3 + -5?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -3*y + 4, -2*u - 3 + 7 = -5*y. Which is smaller: u or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39502*o**4 - 14*o + 94*o + 57*o - 38362*o**4 wrt o.\nAnswer: 13680*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(102) + (sqrt(102) - sqrt(102)*-1) + sqrt(102) + sqrt(102))*-2 - sqrt(102)))\/((sqrt(84)\/sqrt(2))\/sqrt(7) + (sqrt(960) + sqrt(60))\/sqrt(10)).\nAnswer: 11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 - 77. Suppose -j + 17 = -i*j + 3*c, -3*c = -5*j + 13. Solve 5 = -4*l + j*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**2 + 9*p - 19. Let k(i) = -i**2 + 2. Give -k(b) + y(b).\nAnswer: -b**2 + 9*b - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 10*v - 18. Let p be w(13). Suppose 3*l - p*l + 630 = 0. What is the highest common divisor of l and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 476201 and 476201.\nAnswer: 476201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*v - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16475984 divided by -4118996\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - k. Suppose 4*u + 2 = -6, 4*l + 3*u - 42 = 0. Calculate the lowest common multiple of (-4 - (k + -3))*-2 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-10))\/((-2)\/8*-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zykdjyjyjjyznn. Give prob of picking 1 j, 2 y, and 1 k.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, q: 4, y: 1, r: 3, w: 6, s: 2}. What is prob of picking 1 j and 1 s?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7*(-5)\/(-20) - -3)*4. Let v(r) = -5*r - 14. Let a be v(-5). Suppose -3*i + 37 = -5*h + i, -2*i + a = -h. Sort h, u, -33 in decreasing order.\nAnswer: u, h, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3085*n + 98883 + 12177 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 367 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 2*m**3 - 4*m**3)*(0*m + m + m) - m**4 + 5*m**3 - 5*m**3.\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 24 = -2*t, 3292*c = 3294*c - 3*t + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -272.6 equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 - 2*j**2 - j + 1. Let g = -1 - -3. Is 7 a factor of f(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - s + 5 = -6*s, -5*y + 5 = -5*s. Let t(u) = 0*u + 6 + y*u + u. Is t(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124202 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: Let x(c) = 3*c**2 - 1. Suppose -6*s = -s - 5. Let l be x(s). What is the first derivative of 0*f**4 + l*f**4 - 1 + 0*f**4 wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 215434 (base 8) to base 13.\nAnswer: 26cb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (88 + 16*h**2 - 88)*(-4*h + 4*h - 3*h) as d*h**2 + m*h**3 + u*h + o and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41977534 by -20988767.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2. Let g(u) = -u**2 + 28*u. What is l(g(w))?\nAnswer: -3*w**4 + 168*w**3 - 2352*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/23, 2\/31, -1\/10 in descending order.\nAnswer: 2\/31, -1\/10, -6\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, s: 11}. Give prob of sequence ssyy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-1\/2)*v\/((v**4\/v)\/v)*(v\/((v\/v**(-3\/4))\/v))\/(v*v\/(v*v\/v**0)) assuming v is positive.\nAnswer: v**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23651721 rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v - 4. Let s be q(-11). Let k = 0 - s. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/18 and -85\/69276.\nAnswer: 207828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -639*v**2 + 1603*v**2 + 17 - 966*v**2 - 4 + 22.\nAnswer: -2*v**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -1. Suppose -15*f + 9*f + 6 = 0. Put 3, x, f, 2 in decreasing order.\nAnswer: 3, 2, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3663 + -6 + 5 + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6222652*a**2 - 12846*a - 56 wrt a?\nAnswer: -12445304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*4\/24*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1 (c) 0.2 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*d + 4*z, -4*d + 5*z - 6*z = 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -10020505?\nAnswer: -10020504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4\/5)\/n)\/n**(-1\/8)*n*n**11*n*n*n*n*n**(2\/7))**(2\/29) assuming n is positive.\nAnswer: n**(4091\/4060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 6. Let u(a) = -4*a + 11. Let i(q) = 7*l(q) - 4*u(q). Determine i(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-7) - (10 + (-13)\/(15106\/10928))\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1719, 5, -2, 2, -4 in decreasing order.\nAnswer: 1719, 5, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 95701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57362\/55 - -1043. Sort -3, 0.4, r in descending order.\nAnswer: 0.4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -53*v + 911. Let b be l(17). Sort b, 2, -20 in ascending order.\nAnswer: -20, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 40\/(-24))*18\/(-96).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1148 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -246*x**2 + 1336*x - 522. Determine z(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.190525 - -463.876525. Let d = -463 + o. Round d to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370997 = -97*i - 52158. Calculate the highest common divisor of 346 and i.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 3*c**2 - c + 1. Let s be a(2). Suppose -l + 12 = s*l. Suppose -u - l + 12 = 0. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 120 = 3*y. Suppose 5*p + 2*b + 2*b - y = 0, 0 = -4*p + 2*b + 14. Suppose p*h - 192 = -44. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -146646108 by 8147006.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)\/r**4)**(-3\/16) assuming r is positive.\nAnswer: r**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 8*v - 9. Let j be r(-3). Let t be (2\/(-8))\/(3\/j). Sort t, -2, -0.3 in increasing order.\nAnswer: -2, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 + -28. What is the remainder when t is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -7 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 9:36 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 0*d + d)*(-141 + 15*d + 141) + (3 - 3 - 2*d)*(d + 2 - 2).\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 10 - 1)*(6*v + 12*v + 2*v) in the form o*v + g and give o.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/3 - (-6)\/(-9). Let i(p) = -19*p - 22 - 2*p + 2*p**2 - p. Let v be i(12). Solve s - 14 = -h*f, -v*f + 5 = f + 4*s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nets when four letters picked without replacement from jjtnjessjstrjssjj?\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2) + -5 - (-12 - (-5 + -16))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0333 and -40.\nAnswer: -40.0333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 47969384\nAnswer: -47969380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.46 and 1.\nAnswer: -4.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -104278 divided by -17\nAnswer: 6134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -470630474 divided by 1.\nAnswer: -470630474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n. Let d be v(4). Suppose 4*r = 7 + 5. Suppose -5*o + 40 = 4*s + 13, d*o - 3 = r*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7\/6)*w\/(w*w*w*w**5)*w\/(((w\/(w*w\/(w*(w**(-2\/13)*w)\/w)))\/w)\/w)*(w\/(w*w**(5\/4))*w*w)\/w)**(-45) assuming w is positive.\nAnswer: w**(12315\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3*q - 7*d**2 + 53*d - 858*q + 3 wrt d.\nAnswer: 6*d**2*q - 14*d + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + (3 - 2) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*10*1356\/1130.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 6\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 413 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 0*n + 3*n**3 + n + n**3.\nAnswer: -2*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 32381320.\nAnswer: -3\/16190660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39292 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4669 and 126875?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 274780305.\nAnswer: 137390152.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139931675 divided by -1333.\nAnswer: -104975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + 8. Let o = 59 - 237\/4. Which is the biggest value? (a) o (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Suppose 8420 = -0*v + j*v. Is 8\/28 - v\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -2 + 1 - (4332 - 4338).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-six fifths of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7 = 5. Suppose 0 = 72*m - 71*m - 2. Suppose c = -m + h. Solve -2*q + 3 = c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*r, 4*r = -0*g - g. Suppose 0 = -b + 2*b + 15. Let d be ((-24)\/b)\/((-2)\/(-5)). Solve r = -a - a - d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/5 - v**4\/24 - v**3\/6 + 4*v**2. What is the units digit of j(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/14*(-21)\/10?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-15) + 2 + (-352)\/(-20). Suppose 0 = 13*f - v*f + 1560. Let o = f - 162. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + c**2 + 0*c**2 + (1 - 1 - c)*(-11*c + 2*c + 0*c) + 1 + 2*c**2 - 1 + (0 - 4 + 2)*(c + 2*c**2 - c).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37\/21 - -52\/21. Find g such that 2\/7*g**4 + 0*g + 0 - 2\/7*g**2 - z*g**3 + 5\/7*g**5 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8168 to two dps.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 116 + 84 = -2*t, 4 = 5*n - 2*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 653773114 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2. Let o = u - -4. What is the first derivative of o + 5 + 4*i**2 - 5 wrt i?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - -113. Let c = s + -179.8. Let y = 1 + -0.6. Sort y, -5, c in ascending order.\nAnswer: -5, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11055.36 - 11055. What is the third biggest value in -5, -2, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 2. Let x(r) = -6*r + 57. Calculate -4*m(j) + x(j).\nAnswer: -2*j + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30960)\/1800 - (-18 - 0). What is the third biggest value in -2\/31, 0.1, 0, 14, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 j when four letters picked without replacement from {v: 1, z: 1, t: 1, j: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m + 14*m + 95*m)*(0*m**3 + 0*m**3 - 2*m**4).\nAnswer: -196*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, -16, 0.2, -2\/45, 3, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from yyyyuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Let v(i) be the second derivative of -i**3\/2 + 3*i**2 + 20*i + 12. What is v(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2373279 or 2373456?\nAnswer: 2373456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*l - 48 = 0, -l + 8 = 3*m - 25. Calculate the remainder when 69 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 655071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/11*(-99)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1234, -5345, -12350, -22255, -35066, -50789?\n\"Answer: -h**3 - 1441*h**2 + 219*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1810 + 1809.9. What is the nearest to 1\/4 in 9, r, 7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94185 and 47670?\nAnswer: 42759990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-88480)\/(-75840)*52\/(-35)\nAnswer: -26\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(264\/(-400)) + (-10)\/30. What is the third smallest value in 0.02, p, -4, 0.3, 0.4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from {s: 4, i: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c**2*f + 32892*c**2 - 890*c*f**2 wrt f.\nAnswer: 5*c**2 - 1780*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -535 + 539 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -192 + 18.5479777.\nAnswer: -173.4520223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184029\/69 + (-130)\/1495?\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.6 + 3.1. Which is the biggest value? (a) -1 (b) 0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3105, -1, -4, 10, 25 in descending order.\nAnswer: 3105, 25, 10, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - (0 + -6)) + 6. What is the highest common divisor of 99 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(sqrt(320) + 1 + 0)**2*-1.\nAnswer: 16*sqrt(5) + 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**2\/11 + 250132*b\/11 - 7820752178\/11 = 0. What is b?\nAnswer: 62533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 21 = -4*b, 3*b + 22 = -5*z - 0*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 7*m - 8*m)*(-72*m**4 + 106*m**4 - 144*m**4).\nAnswer: 1540*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(90\/260)*(-220)\/(-220)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45516078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 18752*k + 112509. Give m(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49572567 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3274690292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((1\/2)\/(((-1550)\/193750)\/((-2)\/15))).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6400840 (base 10) in base 11?\nAnswer: 3682056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(3\/(-2) - 0). Let k(c) = c**3 + v - 1 - c**2 - 2 - 3*c + 5*c**2. Is k(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/9)\/(1\/(-4)). Suppose 5*k + 11 = -d + l*d, 3 = -3*k. Let r(c) = c**2. Let m be r(0). Which is greater: d or m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + 65 - (-26 + 4 + 6)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7528 or 7529?\nAnswer: 7529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58845 is divided by 19256?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1566 + 11886 + 3497 + 17878 - 3137)*(0*v**4 - 2*v**4 + 0*v**4).\nAnswer: -57116*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.5 + -18. What is k rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*v + 27*v + 24*v + 25*v + 32*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1341131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 420 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-4 - (-11 - -7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/157248 and 41\/1792.\nAnswer: 628992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 191717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 752476 and 2356.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 - (3625 + -3583).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 373, 555, 745, 949, 1173, 1423, 1705?\nAnswer: 2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.067 + 0.067. Let i = j - -38.2. What is the second biggest value in -4, i, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8*b = 0. What is the third derivative of b*w**6 + 9*w**2 + 4*w**6 - 12*w**2 wrt w?\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(152) + sqrt(152)*2*1 + sqrt(152))*6)\/(2*((sqrt(8) + sqrt(128) + sqrt(8))*1 + sqrt(8) + sqrt(32)*1)) + -2)**2.\nAnswer: 80*sqrt(19)\/3 + 7636\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4888347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 4*o + 4. Let u be ((-16)\/(-20))\/(1\/30). Suppose a + u = -3*a. Let v be j(a). Solve -2*w - 2*w = v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7107 - -7176. Solve -m*y = -54*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -0.0229?\nAnswer: 4.0229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5*5\/(-125)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -149.7 * -69136.3\nAnswer: 10349704.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/256, -1\/28, 2117 in ascending order.\nAnswer: -1\/28, 1\/256, 2117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v = -5*i + 416, 5*i - 5*v = 440. Let w be 4\/14 - 24\/i. Suppose w = -0*p + 2*p - 48. What is the greatest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 20, -v + 13 = 2*z - 0*v. Suppose -3 = -i - z. Let h(p) = 3*p - 1. Determine h(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 * -0.8303\nAnswer: -22.4181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110 by -10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -11.46877.\nAnswer: -11.46877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, a: 1, h: 3, u: 3}. Give prob of sequence hamm.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12138*x**2 - 294*x + 5 wrt x?\nAnswer: 24276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + y. Let i(k) = y + 0 - 3*k + 2*k. Let q(v) = v**2. Determine q(i(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d = 3*k - 22, -4*k = 3*d - 26. Suppose 0 = -2*f + k, 4*t - 282 = 2*t - f. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -159, -287, -447?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 295, 231, 167, 103?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z + 3*z + 3 + 2*z**2 + z**2. Let f = 502 + -501. Let o be i(f). Solve -4*p = 5*v + o + 22, -p - 14 = 5*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 10:06 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473972824?\nAnswer: 2, 13, 79, 57689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**6\/150 - 151*r**5\/75 + 293*r**4\/10 - 174*r**3 + 1963*r**2. Determine h, given that p(h) = 0.\nAnswer: 3, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 317644510 to the nearest 1000000.\nAnswer: 318000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10*h - 10 = 0. Let c(d) = 53*d**3 + 6*d - 54*d**3 - 3*d**2 + 5*d**2 - d + h. List the prime factors of c(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42730 + -0.4.\nAnswer: 42729.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 240211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7786703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14046 and 62.\nAnswer: 435426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 s, and 1 v when four letters picked without replacement from {s: 1, i: 2, v: 1, y: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.21 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 103794336 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**5\/60 + 23*g**2 - 87. Let c(u) = -u + 126. What is s(c(i))?\nAnswer: -i**2 + 252*i - 15876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybnntpbpnbnk. Give prob of picking 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -3599872 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 43*j - 64. Let r(c) = -87*c + 135. Determine 5*f(x) + 2*r(x).\nAnswer: 41*x - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -31. Let s(i) = -5*i - 4 + 19*i**2 + 2 + 5*i + u*i. What are the prime factors of s(-2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2732 - -2784 - (0 + -2).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163200560 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9743 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12029*x + 12153*x - 2 - 24168*x.\nAnswer: 14*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2. Let m(g) be the first derivative of 0*g + 12 + 29\/2*g**2. Give m(f(r)).\nAnswer: -29*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153.29987724 + 153.3. Round t to 6 decimal places.\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1323821)\/(-203) - 8\/28 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 1561 - ((-48)\/12 + -2 - (-3 + -4))?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -4*z**3 - 1412*z**2 - 154364*z - 4884220 = 0.\nAnswer: -149, -55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4588121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 - 0.333\nAnswer: -2.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + (11 - (-2 + (28 - 2)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -300*u**6 + 1045*u**2 - 3 - 1520*u**6 + 3 - 112*u**2 wrt u.\nAnswer: -218400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2017*a. Let t(b) = 19*b. Determine q(t(r)).\nAnswer: 38323*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001339909 to five dps.\nAnswer: -0.00134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -382, 33.\nAnswer: -382, -24, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - y = 21, 16*q - 18*q - 4*y + 0*y - 6 = -0*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 213 - 211.66. Let c = -14.26 - m. What is c rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 0*t**2 + 6*t**2)*(-4*t + 2*t + 0*t)*(-3 - 2 + 3 + (0 - 10 + 5)*(2 + 0 + 0))*(11*t - 4*t + 2*t).\nAnswer: 1080*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b - 2. Let r(n) = 19*n - 160. Let p be r(8). Let s be p\/(-24) - ((-8)\/(-6) + -2). Determine a(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 14*n - 1. Is c(3) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 10. Let i = 65 + -34. Calculate the remainder when i is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 44.86. Let n = 34.86 - v. Let m = n - 33. Which is the second smallest value? (a) -5 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - 1*sqrt(132)*-6)*3)\/(sqrt(96)\/(sqrt(8)*-1) + 1*sqrt(588) + sqrt(588))*-3.\nAnswer: -63*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 - (-5 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65*y**3 - y**2 - 3*y + 20?\nAnswer: -390*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {r: 1, u: 1, f: 2, t: 1, s: 1, p: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1011 - 4293 = -3*v + 84. Is v a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15.4? (a) -1 (b) -1\/8 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -139063.513 rounded to the nearest 10?\nAnswer: -139060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**3 + 132*d**2 - 249*d + 129. Let g(x) = -x**4 - 10*x**3 + 527*x**2 - 998*x + 515. Let h(u) = 3*g(u) - 11*j(u). Determine k so that h(k) = 0.\nAnswer: -7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 39*m**2 - 550*m + 9. Let g be a(11). Solve 34*k = 31*k + g, 5*k = 5*d + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtkultblb. What is prob of picking 1 l and 1 t?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 80.7507 minutes?\nAnswer: 4845042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (1 + -2)) + 1412 + -1412?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (69\/(-46))\/((-6)\/(-112)). What is the smallest common multiple of 126\/u*(-636)\/9 and 2?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515 = r - 2*u, 0 = -r - 2*r - 3*u + 1590. Suppose 7*i + 1365 = -r. Let f = i + 385. Calculate the remainder when f is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -0.72?\nAnswer: -2.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-15 - 0) + 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1632*d**2*s**3 - 104*d*s**3 + 7*d*s**2 - 2*d - 2*s**3 wrt d.\nAnswer: -3264*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -27 - -138 - 16 - (7 - 2). Solve -40 + x = 25*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2432.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*d**2 - 15*d**2 + d**3 + 348*d**2 - 78*d**2 - 85*d**2 - 82*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + (sqrt(56) - sqrt(224)\/sqrt(4)))\/sqrt(8) + -2)**2 + -6*(sqrt(70)\/(3*sqrt(10)))**2.\nAnswer: -4*sqrt(7) + 19\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 30, -1\/2 in increasing order.\nAnswer: -1\/2, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331388938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21111132302 (base 4) to base 6.\nAnswer: -124242002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4595 - 28.\nAnswer: -23.5405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 16. Let m be 9\/(-6)*(-4)\/s. Put m, -3, 0.3 in descending order.\nAnswer: m, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 25*a + 128. What is b(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16626 + 4?\nAnswer: -16622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 24*q**2 - 2018*q + 163. Let x be a(84). What is the biggest value in -0.2, 0, x, 0.33, -1?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-40) - 40\/(-64)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688695 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 25 = -7*w + 12*w, -w + 9 = -3*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 193797500 to the nearest one million.\nAnswer: 194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n = 2*n + 33*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 - 61 - (24 + -6).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptt when three letters picked without replacement from {t: 6, p: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3561 a factor of 1270908923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 84*r - 268. What are the prime factors of v(-55)?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1240, 1, 19, -3 in ascending order.\nAnswer: -5, -3, 1, 19, 1240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2674.7393 - 46.1507. Let c = -2748 - h. Let w = 27 + c. What is w rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 2*i**2 + 1. Let g = 15 - 8. Let p(t) = 4*t + 2 + g - 3*t. Let l be p(-7). What is c(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1636272 (base 8) to base 6\nAnswer: 14055454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*((-4)\/6)\/(-2). Suppose -5*b + 444 = 3*p, 4*p + 287 - 890 = -3*b. Let k = -152 + p. Sort d, 23, k.\nAnswer: d, k, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 4:19 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 plus -4242274325?\nAnswer: -4242274363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) -0.5 (c) -179 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64637, 64634, 64631, 64628?\nAnswer: 64625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-19 - 11*x**2 + 19 + (2 + 0 + 0)*(2 + 2*x**2 - 2)) + 1238*x - 1238*x - 81*x**2.\nAnswer: -88*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1, 4, 11, 22, 37, 56?\n\"Answer: 2*r**2 - 3*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -12\/5*f + 8\/5*f**2 - 4 = 0.\nAnswer: -1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 2:23 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -40164207 to the nearest 1000000.\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 + 7*x + 1. Let i(n) = 1356*n**2 + 8*n - 1 - 1350*n**2 + 2. Calculate 4*i(s) - 5*y(s).\nAnswer: -s**2 - 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839*g + 669*g - 1508*g - 10*g**2.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*m - 11 - 124 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2001 + 2046. Solve -17*b + 8*b - w = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-3 - 5)) + (9 - 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1170*d**3 + d**2 - 8569*d.\nAnswer: -7020*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 168323609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4886236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - 131103132?\nAnswer: -131103100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 4:34 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3752902912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 7. Let k(i) = 3*i + 10. Let g(t) = t**3 + 3*t**2 + 7. Let d be g(-3). Determine d*m(f) + 5*k(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*p)*(4 + 4 - 7)*(46*p - 15*p - 6*p).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-222)\/(-15)*-32 - (-3 + -5)\/(-40). Do w and -473 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*b = -8401 + 5641 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-15)*82\/(-41)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2 - -1 - -5 - -2) - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(8)*-4)\/(sqrt(49)\/(sqrt(7)*2 - sqrt(7))).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 a when three letters picked without replacement from {a: 12, d: 2, h: 3}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3*z + 2*z + 28836, 5*z = 2*g - 19219. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555994412 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: Evaluate 43 + -59 + (4 - 0) + (22 - -37).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3490368 divided by 5936\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2305 divided by 5\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/95*(-90)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*i = i + 4, a - 5*i + 11 = 0. Let r(d) be the first derivative of 2*d**3 + d**2\/2 + d + 47. Give r(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 142464.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.3 - 4. Let h = 1.5 + -1.9. Let v = f + h. Is -0.2 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*d**3 + 38186124 + 33*d**3 - 38186249 to the form s + j*d**3 + b*d + n*d**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -78. Suppose t*p + 2044 = 9634. What are the prime factors of p?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64439.2209 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 6)*((5 - 2 - 2)*(-5*s - 6*s + 4*s) + 32*s + 6*s - 17*s).\nAnswer: 70*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11569 + 17451. List the prime factors of p.\nAnswer: 2, 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/11, -319, 1008?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**4\/7 + 376*l**3\/7 + 1202*l**2\/7 - 112284*l\/7 + 483120\/7 = 0.\nAnswer: -183, -22, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18579928, 18579931, 18579934?\n\"Answer: 3*f + 18579925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -5, 6, -2, -6 in ascending order.\nAnswer: -6, -5, -2, -1\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5049\/4 - 1262. Which is the nearest to v? (a) 1 (b) -2 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 28 - -29) + 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (35 - 59) + 26 - 30?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1240672599.\nAnswer: 3, 1877, 24481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36, -68, -100, -132?\n\"Answer: -32*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1308, -2639, -3984, -5349, -6740, -8163, -9624, -11129?\n\"Answer: -z**3 - z**2 - 1321*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, -2\/3, -7, 3175?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 2*c - 2*c)*(0*c - 4*c + c)*(-3*c + 5*c + 0*c).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p + 3\/5*p**5 + 0*p**2 - 3 + 0*p**3 + 0*p**4. Find the first derivative of h(q) wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 2 = -12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.3 - 4. Let u = 5.38 - 9.38. Which is the nearest to 0.1? (a) u (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*q + w, 3*w = -1 + 4. Suppose -4 = 4*p + 16, 0 = 5*c + 4*p - 180. Solve 0 = 4*t - 3*b - 2*b - c, -2*t + 3*b + 22 = q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 3. Let s = 0.107 + 146.893. Let r = -150 + s. What is the biggest value in f, -4, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -3 + 6*q**5 - q + 0*q**5 - 5*q**5. What is the first derivative of z(x) wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 3*h = 2178. Let p = h + -198. Which is greater: -11\/19 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 20 - t**3 - t**3.\nAnswer: -2*t**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25055 - -25049. Let l = 9 - 4. Let t = -1009\/14 + 145\/2. Which is the nearest to 0? (a) m (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 0 + 5\/3*z**3 - 8*z**2 + 0*z**5 + 0*z**4 - 1\/12*z**6 + 0*z. Differentiate t(c) wrt c.\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 10 = 4*h, -11*h + 10*h = 4*r + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 336*m + 5033. Give g(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 5*d**2 + 6*d - 6. Let o be k(-6). Let n be (-204)\/18*o\/4. What is the highest common factor of 153 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1148, 411 in descending order.\nAnswer: 411, 2, -1148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(144) + sqrt(9)) - -5*sqrt(44).\nAnswer: 51*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4320 and 194778.\nAnswer: 15582240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 2711454?\nAnswer: 2711454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m**3 + 0*m)*(1204*m - 3 + 1 + 1914*m - 950*m).\nAnswer: 2168*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -3*j**5\/140 - j**4\/14 + 53*j**3\/14 - 135*j**2\/7 - 423*j. Factor u(p).\nAnswer: -3*(p - 5)*(p - 2)*(p + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4055, -4015, -3913, -3719, -3403, -2935, -2285?\n\"Answer: 5*v**3 + v**2 + 2*v - 4063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12613394?\nAnswer: 2, 6306697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -29*q**7\/105 + 2*q**3 + 3*q**2 + 5. Differentiate f(w) with respect to w.\nAnswer: -232*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**2 + 2 - 2 - 191*r**3 + 187*r**3.\nAnswer: -4*r**3 + 26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 703*j + 634*j - 1479*j.\nAnswer: -2*j**3 - 142*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 56, 191 in descending order.\nAnswer: 191, 56, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.088046, -0.29, 3\/5?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = 10*w + 6. Let c be -4 - (6\/7)\/(w\/(-7)). Solve -c*v - 14 = -2*m, 0 = 4*m - v - 7 - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 3:08 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146891 to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:28 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 32 - 12\/16*4. Let n(q) = 0*q**2 - 2*q**2 + 31 + 2*q - s. What is n(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*f + 6*f**2 + 8*f)*(-2 + 0 + 0) + (-18*f + 25 - 25)*(-2*f - 2*f + 0*f) to n + g*f + i*f**2 and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 3081895\nAnswer: -3081895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/(-70)*(-38)\/4408.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 2*w**2 + 12*w - 6. Give z(5).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1275) - (sqrt(1275) - -4*sqrt(1275) - sqrt(1275)))\/(-4*-1*sqrt(3)).\nAnswer: -15*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321405.\nAnswer: 3, 5, 7, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 781795 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5 or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 7:33 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14180 divided by -9?\nAnswer: 14180\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*c - 12006 = -961*c - 3298 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*p - 10, 0 = -3*v + 5*v + 2*p - 6. Suppose q = -5*o + 30, 9*o - v*o = 25. Suppose -w - 790 = 2*k - 7*k, k - q*w - 134 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*d + d - d)*(3*d**2 + d**2 - d**2) to the form c*d**2 + w + m*d**3 + u*d and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znkl when four letters picked without replacement from {w: 2, z: 2, n: 1, k: 6, l: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = q + 3588 - 3563, 0 = 14*q + 3*p + 82 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 1050?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*s - 3*p + 1463, 0 = -3*p - 12. Solve s*t + 5 = 292*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.6 - -8. Sort o, -4, -0.1 in decreasing order.\nAnswer: -0.1, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131 divided by 1049\nAnswer: -131\/1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*p + p. Let x(w) be the second derivative of p*w**2 + 0 - 5\/6*w**3 + 1\/20*w**5 + 2*w + 1\/3*w**4. What is x(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*l + 38*l = -58*l - 816 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 12*n**2 + 3. Let c(k) = -k**3 - 13*k**2 + k - 3. Let g(a) = -6*c(a) - 7*r(a). Suppose 35 = -31*i - 120. What is g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -17*m + 315. Calculate t(8).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50708458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/10 (b) -5 (c) 27 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 2*r - 10, 14*h - 13*h = 5*r + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 2547?\nAnswer: 5094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 281 + -248. Suppose -j*t + 28*t = -10105. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(475) + sqrt(19) - (-3*sqrt(76))\/sqrt(4))**2 - ((sqrt(19) - sqrt(171)\/sqrt(9)) + 5 - (1*sqrt(304) - sqrt(304))).\nAnswer: 36*sqrt(19) + 1538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -5*10\/18.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amcfc. What is prob of sequence amf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 0*h**3 + 0 + 8 to t*h**3 + r*h**2 + a*h + b and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**4 - 5*d**2 - d**3 + 61 + 34 - 105 + 4*d**2 - 2*d to the form i*d**3 + s*d**2 + v*d**4 + j*d + r and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + d - 10 + 1 = 0, -w - 6 = -2*d. Let t = -18 - w. List the prime factors of -6*(-2 + (-10)\/t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11597842 to the nearest integer?\nAnswer: 3406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -917684079, -917684081, -917684083, -917684085?\nAnswer: -917684087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x*x**1))))\/x*x)**(1\/6)*(x\/(x\/(x\/(x**0\/x))))**(2\/9) assuming x is positive.\nAnswer: x**(5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*(-2 - -4)\/4. Suppose d*u + 3*i - 86 = 0, u + 36 = 3*u + 2*i. Let k = u - 11. Let q(b) = b**2 - 4*b. Determine q(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 7:29 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5b (base 16) to base 2\nAnswer: 1011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 42?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 193408577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446 = 10*o - 426 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5.91, 13, 0.1844?\nAnswer: 0.1844","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79 and 0.1?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 1312004.\nAnswer: 1312001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = b - 31, -2*r + 5 = -r. Suppose 2*k + 2*n - b = 0, 4*k - 95 - 53 = 5*n. Suppose -2*t - 4*x + 154 = k, -25 = -5*x. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3851, 3834, 3817, 3800?\n\"Answer: -17*z + 3868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 0.512616?\nAnswer: -0.712616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 6*r + 1. Let x be i(2). Let a be 736\/x - ((-520)\/72 - -7). Suppose 13*q - a = 22. What is the greatest common divisor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqqq when four letters picked without replacement from qhhqqhhhhqhhqhqqhqq?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 180889 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + j + 0*j + 2. Calculate z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 13033444440?\nAnswer: -13033444431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 117*s**2 - 865*s + 359. Determine r(-124).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41109177, 41109179, 41109181?\nAnswer: 41109183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -i + 85, -2*y - 2*i + 56 = -6*i. Calculate the highest common factor of 144 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(3\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 25 - 26 + 69*o**2 - 3*o + 47*o**2. Is f(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 22. Suppose -16 = -l + f*t - 4*t, 5*l - 50 = -4*t. Differentiate 6 - 13 - 9 - 24*z - l with respect to z.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2295 + 9187\/4. Let u be (3\/15)\/(8\/(-10)). What is the nearest to u in i, -2\/9, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (95\/25 + -5)\/((-4)\/10). Let d be ((-31)\/(-465))\/(o*1\/10). What is the second smallest value in -1\/3, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/3)\/(j\/(j**(-2\/13)*j))*j**(-14)\/((j\/j**(1\/7))\/j) assuming j is positive.\nAnswer: j**(-3643\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-five halves of a millisecond?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + g - 2*g + 550 = 0. Solve g + 65 = -15*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-40)\/(-25) - 1). Sort 2, 6, d in ascending order.\nAnswer: 2, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/12*6\/(-4). Let d be (-7)\/(735\/(-72)) - 6\/21. Let g be 28\/(-60) + ((-1)\/(-3))\/1. What is the closest to u in g, d, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 4 (c) 3 (d) -1\/5 (e) -2\/91 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3 - 5 + 1 + t**2 + 7*t. Let y be x(-7). Let c = 10 + y. Is 4 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12564630301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16995647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -400.4 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = 0, 0 = 5*o - 4*o - 2*c. Let w = 56\/9 - o. Let p = 2 + 0. What is the closest to 9 in w, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 944 or 945?\nAnswer: 944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Suppose 2*j + t + 0*t - 2 = 0, 0 = -3*j - t + 5. Find the first derivative of -4*y**2 - 7 - z*y**j + 5*y**2 - y**2 wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 667 + 413. Let o = -1982 - -1992. Calculate the highest common factor of o and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 123388, 123418, 123490, 123622, 123832?\n\"Answer: 3*x**3 + 3*x**2 + 123382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -26*p - 103. Let l be i(-14). Let f = -180 + l. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3*p - 9, -2*p - 5 = 3*p. Let l be y\/2*(-5)\/45. Put 1\/10, -0.5, l in ascending order.\nAnswer: -0.5, l, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 39, 56, 3489, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 8 + 8. Let f be m + -2 - 2\/(-2). Solve 2*y = -6, -2*k - f*y = 2*k - 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/8 + 37823*k\/8 + 56739\/4.\nAnswer: -(k - 37826)*(k + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -13.6\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -268*i*r**2 - 2290*i - 4*r**2 wrt r.\nAnswer: -536*i*r - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*q - 1)*(-q**2 + q**2 + 2*q**2 + 2 + q**2 - 2 + (4*q - 4*q + q)*(q + 3 - 3) + 3*q**2 - 2*q**2 + 0*q**2).\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -51, 71518, -2, -1 in decreasing order.\nAnswer: 71518, -1, -2, -6, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + (sqrt(1700) + -5)*-2)*3*1 + 5)**2.\nAnswer: -2100*sqrt(17) + 16525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 5543\/4 and 1387 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 10:20 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 0 - (-218 + 180)) + -24\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y**3 - 2326*y**2 - 3702*y - 1386 = 0. Calculate y.\nAnswer: -231, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 4*p**2 + 2*p. Let f = 2 + -6. Let c = 2 + f. Let d be k(c). Solve -3*n + 7*n = 5*w, 0 = 2*n - d*w - 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(0 - -546 - (-3 + 5)). Let m = j + -330. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -131*n**3 - 3998*n**2 + 21*n - 2139693 wrt n?\nAnswer: -393*n**2 - 7996*n + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80836573?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7821 + 7920.925. Let r = f - 100. What is r rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 829, 844, 869, 904?\n\"Answer: 5*s**2 + 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 110 = 2*s, -3*s - 44 + 9 = j. Let y = j + 40. Suppose 0 = -t + 27 + 26. Calculate the remainder when t is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-3) + (-1 - (-6)\/9). Let c be 9*((-28)\/6)\/w. Suppose a + 2*r + c = -3*a, -3*r - 1 = -2*a. Put -4, a, -3, 1 in decreasing order.\nAnswer: 1, a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 6. Let f be z(-7). Let i = f - 18. Suppose i*k - d = 36, -2*d - d + 44 = 2*k. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 6 + 2)*(158*k - 219*k - 426*k)*(6 - 2 - 3)*(1 - 4 + 4) to the form j*k + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 - -97. Is h equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9272, 9272, 9276, 9284, 9296, 9312?\n\"Answer: 2*g**2 - 6*g + 9276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -141636600 to the nearest 100000.\nAnswer: -141600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144 - -102. Does -42 = q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*y + 3)*(6*y**2 - 4*y**2 + 0*y**2)*(-2*y + 4*y - y).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74167, -296677, -667527, -1186717, -1854247, -2670117, -3634327?\nAnswer: -4746877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 6, -3\/16, 0.4, 3, -0.13?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 500, 1991, 4496, 8027, 12596, 18215, 24896, 32651?\nAnswer: 41492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 844*q**4*r - 10283*q**3 - 4*q*r + 225*q + 1208*r wrt q?\nAnswer: 10128*q**2*r - 61698*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 4, x: 4, o: 2}. Give prob of sequence xy.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179088747?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00416265 to 4 dps.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-14))\/((-68)\/1071). Which is the closest to g? (a) 2\/11 (b) 2\/7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.77 - 5.684. Let k = -297333.0860004 - -297333. Let g = k + q. Round g to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/128 and 51\/608.\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2176 is divided by 60.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4)*-2*(962\/(-1612))\/(-37)*6?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(45))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u - 112. Let x be c(-36). What is the least common multiple of 2 and x\/(-7) - (-42812)\/539?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 * 10.39977.\nAnswer: -155.99655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**2 + 6*o**2 - o**4)*(2*o - 4*o - 2*o) + (-3*o**3 + 2*o**3 - o**3)*(4*o**2 - 3*o**2 + 0*o**2).\nAnswer: 2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/260 - (-1079)\/260)*(2 + (-34)\/(-8))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4383927 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 2)*-1 + -11. Let x(h) = -h**2 - 11*h - 2. What is x(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -241*i**2 + 2*i - 1. Let q be y(1). Let v = 341 + q. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.2 - -15. Let d = -1.1 - q. Is -1\/6 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/2*(173 + -182 - -10).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-10))\/((-4)\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -28*x**2 - 26*x - 22. Give m(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-12)*(-8)\/(-18)*1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99519, -199031, -298543?\nAnswer: -398055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phud when four letters picked without replacement from hphhudddpppp.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 21. Let s = p + -18.3. Round s to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3969*c = 346124 - 798590 for c.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 15, 24 = 5*h - y - 14. Let i(o) = 9 + 5 + 3*o - o - h. What is i(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2365 + -1657. Suppose 4*y = 380 + z. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -30392769.4.\nAnswer: 9117830.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001301202 (base 4) to base 14.\nAnswer: dba02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -67*o - 84. Let d(r) = 17*r + 21. Let x(m) = -2*c(m) - 9*d(m). Let y(f) = -9*f - 10. Let t(k) = -2*x(k) + 5*y(k). List the prime factors of t(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-36)\/(-8)))\/((-28)\/36)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -6*o**2 - 171*o - 27. Give b(-28).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.25259703 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (1 + 0 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 56065, 69052, 82039, 95026?\n\"Answer: 12987*l + 43078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0166 and -87.\nAnswer: 1.4442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 348*w - 4. Let d(h) = 148686*h. Determine d(r(u)).\nAnswer: 51742728*u - 594744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48163 + 16\/5*10\/4.\nAnswer: 3, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 8*d - 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209 divided by -4348.\nAnswer: -209\/4348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 0.63. Let c be ((-1)\/20*2)\/((-2496)\/(-12480)). What is the nearest to k in c, 5, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5310 is divided by 127.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 7 = -2*q, 3*q + 9*j - 11*j + 3 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of t**7\/210 + t**3 + 3*t**2. Find the first derivative of z(o) wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -s + 2, 0 = -5*s - 3*c + 8*c - 40 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (42 - (45 - 3))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + -0.8. Let n = k + 1.1. Let c = 0.2 + n. Is c greater than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-28)\/(-105)*-5.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - i - 4)*(-i**2 + i - i) + 36*i**3 + 25*i**3 + 0*i**3 + (0*i**2 - 2*i**2 + 4*i**2)*(0*i - 4*i + 5*i).\nAnswer: 64*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5251924001.9 - -53.\nAnswer: -5251923948.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -1 + 36\/24. Which is greater: b or -23?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 3633 + 6685. List the prime factors of i.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.1328895 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, i: 1, l: 1, w: 1, y: 1}. What is prob of picking 1 a and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, d: 7}. Give prob of sequence ldll.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.8623193997 and 1.\nAnswer: 8.8623193997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.0131, -0.3 in increasing order.\nAnswer: -0.3, -0.0131, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 3, x: 2, i: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6112, 26713, 61046, 109105, 170884, 246377, 335578, 438481?\n\"Answer: -q**3 + 6872*q**2 - 8*q - 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 15 - 5 + 3*o)*(-9*o - 56*o + 12*o).\nAnswer: -159*o**2 + 371*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(sqrt(40)\/sqrt(4) + sqrt(10)) + -4 + 1*(0 + sqrt(3))*-1)**2.\nAnswer: 4*sqrt(3) + 67\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2816 and 17336.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.029 + 38.029. Let z = v - 36. Which is the biggest value? (a) -3\/2 (b) 0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h - 8. Let b be 80\/48*(-48)\/20. Give g(b).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -34\/3. Suppose 5*s - 5*w - 35 = 2*s, -2*s + 3*w = -22. Let p be (8\/(-22))\/(1 + 1). What is the nearest to f in p, s, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqxzqx. Give prob of picking 1 x, 2 q, and 1 k.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 46. Suppose -5*v + y = -3*v. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81418.2 * -0.16.\nAnswer: 13026.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 10:33 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 3*x**3 - 31)*(3 - 2 + 1) + 0*x**3 - 4*x**3 + x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 746103*14*(1 + 0). Suppose -5*n - j - 101054558 = 0. Round n to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:31 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -46*q**3 - q**2 + q. Let i = -50 - -51. Let k be z(i). Let g = k + 49. Solve 0*t = g*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (63 - -14) + -24 + 49 + (-1 - (1 - -2))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108250800 and 2630?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0661 to 3 dps.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 7\/3, 1\/3, -3, 0, 0.5, -419?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 3821451?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4617 and 756.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (sqrt(13)*-2)**2).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721*d**2 - 22 + 22 - 695*d**2.\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -67942, -10 in descending order.\nAnswer: 5, -10, -67942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/14 and 163\/336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26700 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 1. Give w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/16 in 3, -5, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/684 and 47\/14.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -19, -39, -67, -103, -147?\n\"Answer: -4*k**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 9*x**2 - 4*x - 2. Calculate i(-8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1337943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3892678?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2090*i + 3600. Let m(w) = 523*w - 902. Let c(r) = -6*b(r) - 25*m(r). What is the first derivative of c(v) wrt v?\nAnswer: -535","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*h - 219*j + 223*j + 90, -7*h + 0*h = 3*j - 39 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -150 + 150. Suppose 2*z - 5*h + 11 + 10 = b, -3 = 4*z + 3*h. Sort -0.5, 0.08, z, -5.\nAnswer: -5, z, -0.5, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -1 + 4. Let q(t) = -3*t**3 + 2*t**2 + t. Let z be q(m). Suppose -5*o - 50 = -2*i, z*o = -i + 13 - 1. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 107*z = 108*z + 13, 3*z = 5*y + 29 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184283, 737135, 1658555, 2948543, 4607099, 6634223?\nAnswer: 9029915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 31, -4.\nAnswer: -5, -4, -1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*y - a - a, -5*a - 30 = -5*y. Let t be (-17)\/34*(-4)\/(y\/1). Is 4\/26 - ((-3632)\/52 + t) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n + 7*n**2 + 9*n - 3*n**2 + 2*n**2 + 4*n**2 + (-10 + 10 + 4*n**2)*(-1 + 1 + 4) to q*n + h*n**2 + z and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 553, 329, 105, -119?\n\"Answer: -224*d + 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(((-8)\/4)\/4*-2). Factor 1\/5*t**2 + 1\/5*t + a.\nAnswer: t*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*m - 660, -24*u = -26*u + 3*m + 1306. Solve -7*c - 643 + u = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129781139497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + l + 2)*(7 - 30 - 10)*(6*l + 7*l - 10*l).\nAnswer: -99*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 646 = -15*w + 5*w. What is the highest common factor of 1394 and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/30)\/((-1365)\/455)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3\/4, -79, -1\/3, -2\/3, 1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 10\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 r when four letters picked without replacement from {t: 12, r: 1}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + 9. Suppose 10*v = 5*v + 15. Suppose -v*j + d = -2*b, -4*j + 3*b + 67 = 10. 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 next in 369, 705, 1045, 1389, 1737, 2089, 2445?\nAnswer: 2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (16 - 7) + -1 + 6 - 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b**2 + 57407*b + 6754 = 0.\nAnswer: -2\/17, 3377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*v - 7144760 = -133*v. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/((-56875)\/(-70))*-1?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4\/m**(1\/4)*(m\/m**2*m*m)**(-3\/4) assuming m is positive.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238 + 37. Calculate the greatest common divisor of q and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/f)\/f**4*(f**(-1\/6)\/f)\/f**2 assuming f is positive.\nAnswer: f**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 639 and 16969?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (270\/(-315))\/((6*1)\/(-2))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53219 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f. Let u(r) = 2*r**2 - r. Let g(q) = q**2 - q. Let c(t) = -g(t) + u(t). Determine j(c(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from {d: 6, u: 3, v: 2, m: 1}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6345285 - 0.2254.\nAnswer: 6345284.7746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 - 7. Let z(g) = -g**2 + 4. Suppose -16 = -3*o - h, -5*o + 2*o - 4 = 5*h. Calculate o*z(t) + 4*w(t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = t + 4*a, 4*t + a + 5 = 2*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11891274 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3494560 to the nearest integer?\nAnswer: 1869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*m = -42*m + 71*m - 968 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 326 + -308. Solve -168 = 31*c + s for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 w when three letters picked without replacement from ittiwvwfiviififtvvwf?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 27.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 102128 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212, 868, 1954, 3470, 5416, 7792?\nAnswer: 10598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*m = 4 - 24, 0 = -3*f + 4*m + 5. Put 4, -7, f, -2 in decreasing order.\nAnswer: 4, -2, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6452003664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**2 - 9*q + 3. Let i be u(-6). Let x(z) = 5*z**2 - 3*z + 1. Is x(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -26, 3, -3, 0.16, -5.8?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ownubtbtttbtw. What is prob of sequence wnbw?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itbtzttr. Give prob of picking 1 z and 1 i.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 2763 = -6*h + 22413. Which is the third biggest value? (a) 2 (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 17346*a**2 + 0*a + 34698*a**2 - 17347*a**2.\nAnswer: 5*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 63\/(-315)*(-1 + 6). Let m = 13.2 - 12. Let j = m + -0.2. Sort -4, f, j.\nAnswer: -4, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yf when two letters picked without replacement from {l: 1, i: 1, f: 3, e: 1, y: 6, p: 1}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546261.9 months to millennia.\nAnswer: 45.521825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4675 + 39*h + 4771 - 9446.\nAnswer: 39*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7145099 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 8:02 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1)*h**(2\/3))**(-3\/7) assuming h is positive.\nAnswer: h**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 + -58. Let y = l - 44. Sort -1, -2, y.\nAnswer: -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00039354481 rounded to 5 decimal places?\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 22697667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 465 + -237.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -20*k - 24*k - 13*k + 61*k - 20*k. Let j(c) = -c. Let d = -1 + 6. Give d*j(r) - v(r).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3760, 3824, 3898, 3988, 4100, 4240, 4414?\nAnswer: 4628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -8*v - 2. Let j(c) = -49*c - 184. Calculate -j(h) + 3*l(h).\nAnswer: 25*h + 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5c (base 16) in base 10?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*a - 28. Suppose 12 - a = -w. Which is smaller: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -643*i**4 + 6100*i**3 - i**2 - 1662462*i wrt i.\nAnswer: -15432*i + 36600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nvnvvvnvvvvvvvnvnvvv?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*w - 30 = 0, -12*d + 10*d = -5*w + 30. Let b = 0 - -2. Suppose 0 = -4*y + b*y. Is y >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22110121 - 2010022122?\nAnswer: -2102210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1900) - sqrt(1900) - ((sqrt(19) - ((sqrt(304) - sqrt(19)) + -2)) + sqrt(19)) - (0 + -5*sqrt(1216)))**2.\nAnswer: -164*sqrt(19) + 31943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**2 + 43*y - 59. What is i(-22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 23, -5, -4, -3 in decreasing order.\nAnswer: 23, 6, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11663111?\nAnswer: 2999, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 13583656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*3651\nAnswer: -1825.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -364 by 4.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -8. Let q be 1149\/((-4 + z)\/4). Let g = -668 - q. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**5)\/(u*(u*u*(u*u*u**(-12)\/u)\/u)\/u*u*u*u*u*u*u)*u**(-3\/5)*u**(5\/3) assuming u is positive.\nAnswer: u**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 27\/5 of a microsecond?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6\/41, 6\/11, 5, 2 in decreasing order.\nAnswer: 5, 2, 6\/11, 6\/41, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1422165 divided by -3\nAnswer: -474055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 258, -3\/1013, 8\/7, 5?\nAnswer: 258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -172.4555 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*42\/(-14)*(-1)\/6*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.208396 * -1.1\nAnswer: 0.2292356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2, 1, 0.42?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2202, 4208, 9654, 20262, 37754, 63852, 100278, 148754?\nAnswer: 211002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(3 - 4) - 0 - 23. Let x be (-1 - 3)*m\/32. Factor 0*z + 4*z + 2*z + z**x - 4*z**2 - 3*z.\nAnswer: z*(z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212238*x - 5*x**2 - 7*x**3 - 212238*x - 2*x**3 + 5*x**2.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/(110\/4))\/((-16)\/(-10)). Let u = f + 5\/12. Which is the closest to -1? (a) -9 (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 123732262 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 12:43 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + q + 12, 5*q = 77*c - 82*c - 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7245512t in micrograms?\nAnswer: 724551200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3000, 2999, 2996, 2991, 2984?\nAnswer: 2975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.25 + 6.75. Let h = -0.286 - 6.814. Let r = h + l. Which is the nearest to r? (a) -1 (b) 7 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 2*c**2 + 2*c. Give v(3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*t + 338 = 95*t. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -20*l**2. Let x(m) = 153*m**2 + 54*m - 27. Let a(o) = -5*o**2 - 2*o + 1. Let g(f) = -54*a(f) - 2*x(f). Determine g(t(d)).\nAnswer: -14400*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12253 + -2.\nAnswer: -12255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*k + 84, 2*y - 6*y = 2*k - 102. Let f be 8\/y - 16\/(-6). What is the second derivative of f*t**2 + 6*t**2 - 4*t - 9*t**2 + 7*t**4 wrt t?\nAnswer: 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(210)*-2 + sqrt(210))\/sqrt(7))\/(3*1*sqrt(6)))**2 + 4.\nAnswer: 41\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62733 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 34. Give u(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**2 - 25*i**2 + 3*i - 3*i as g*i + w + m*i**2 and give m.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96*a**2 - 119*a.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 5:24 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-3))\/(9\/(-135)*-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5945\/19 - 313. Let k = -34.4 + 0.4. Let o = 32 + k. Which is the third smallest value? (a) f (b) o (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94222.9ng to milligrams.\nAnswer: 0.0942229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -45\/166 (b) 0 (c) 1\/6 (d) -99.5 (e) 2\/3 (f) 2 (g) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 214333115 + 3?\nAnswer: 214333122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -170.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -976*m**2 + 2141*m**2 + 2*m - 939*m**2 in the form a*m + k*m**2 + z and give k.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + t + 8, 0 = t - 2*t. Suppose s*d = -3*d - 20. Let i be 8\/(1\/d*-4). Solve 7*c = 3*c + i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2\/11, 3, 5 in descending order.\nAnswer: 7, 5, 3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 2\/7, -1, 0, -5352?\nAnswer: -5352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 9056*d + 9060.\nAnswer: -4*(d - 2265)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 882761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from ubuubruururuurruurur.\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**5\/20 + c**4\/3 + 4*c**3\/3 - 10. Let y(b) be the third derivative of h(b). Differentiate y(i) with respect to i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/(-100))\/((42\/90)\/7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*s**2 + 2 + 69*s**2 + 31*s**2 + 2*s - 225*s**2.\nAnswer: -87*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 7*v + 6. Let b be (15\/5)\/((-9)\/6). Let z be -9 - (-6)\/(-4)*b. Determine w(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/4)\/((675\/240)\/(-15)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**7*v)\/v*v)\/(v**(-2\/5)*v))\/((v*v**0)\/v)**(3\/17) assuming v is positive.\nAnswer: v**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 8*g - 24. Let q(z) = -11*z - 55. Let s be q(-11). Let u = -60 + s. Let d be v(u). Calculate the greatest common divisor of 90 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1195*j + 477. Is r(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-846)\/(-1386) + (-2)\/11.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.0696 - 11330.0696. Let s = k - -11334.101. Let f = -0.019 - s. What is f rounded to one dp?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -793*f = -797*f - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(88\/(-28)) + 21\/2 + -5. Let d(h) = -21*h**2 - h - 33. Let p(n) = 5*n**2 + 8. What is b*p(s) + 2*d(s)?\nAnswer: 3*s**2 - 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -956 + 3057. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 483*w + 29955. Let s be k(-62). Let n = 5 + -5. Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of d**5\/60 + d**4\/12 - 2*d**3\/3 - 27*d**2. Let h(b) = -b - 4. Let n be h(-6). Does 2 divide v(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 64. Let n be 132\/14 - r\/63. Suppose -3*s - 2*y + 17 = 0, 4*s - y - 11 = 8. Solve -n = 2*a - c, c = s*a - c + 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 5 - (-5 - -7). Suppose -i - 6 = -2*i - 5*z, -6 = 3*i + 3*z. What is the third biggest value in x, i, -5\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1457, -5800, -13033, -23150, -36145, -52012, -70745, -92338?\nAnswer: -116785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/4)\/y*y)\/y)**(-1\/7))**(1\/31) assuming y is positive.\nAnswer: y**(5\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 518700\/28500 + 0 + -2 + -5.\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -39. Which is the closest to -2\/5? (a) 5 (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -68*h**2 + 3550*h - 12. Determine j(52).\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 438762009?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 684584182 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -221, 0, -4, -43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58 + 39. Let p(d) = d**2 + 19*d + 43. Let o be p(i). Find the second derivative of -16*t**2 + 12*t + 6*t - 43 + o wrt t.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 12 = 4*s + 7*a, 0 = -s + 44*a - 45*a + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 1. Let t(n) be the first derivative of n**4\/4 - 35*n**3\/3 + 18*n**2 - 64*n + 27. Let c be t(34). What is w(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -44 - (-2 + -27 - -40)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135 - -376) + -232 + -1 + (3 - 2 - -55).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*b**2 - 2*b**3 - 6*b**4 - 3 + 80*b**2 + 3*b**3 as m*b**3 + k*b + h*b**4 + p + c*b**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 3423113234?\nAnswer: -3423113241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 95*o**2 - 244*o - 107. Calculate p(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 201*-2\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 6*g + 30 = 0. Let j(i) = i**3 - 6*i**2 + 2*i - 9. What is j(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35\/231*12\/10. What is the closest to -0.016 in q, -2\/5, -4\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 10 = 5*g + 2*v, -5*v = -2*g + 29. Solve u = 2*l + 5*u + g, -10 = 5*u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 7*x = 0. Suppose -j - j + 36 = x. What is the remainder when 69 is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31789793.\nAnswer: 7, 19, 479, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-75*l + 7*l + 36*l) + 26*l + 10 + 13 - 26.\nAnswer: -38*l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (5 - (9 - 3)) - -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2155 - -4782. What are the prime factors of i?\nAnswer: 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*-2*6\/(-9). Solve -3*q - 2 = r*y, -2*q + 4*q - 2 = -y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -3 - (56 - 82).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 11:24 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -3*a - 57, 41*u - 163 + 902 = -2*a + 362 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**3 + 14913*r**2 - 492*r + 1989 wrt r?\nAnswer: -12*r + 29826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 7*w - 8 = 0, 9 = 3*o - 2*w - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2\/7*a**3 + 0*a - 4*a**2 + 0 = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -376380 by 697.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 29*n**2 - 128*n - 100. Give s(33).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-532)\/(-77) + -7 - 50\/(-66)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2808 + 2679.3. Let o = 121 + y. Let u = 7.653 + o. What is u rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25725*s + 106*s**2 - 25725*s + (0*s - 2*s + 3*s)*(2 + 2*s - 2) - s**2 - 2*s**2 + 0*s**2.\nAnswer: 105*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16265 + -9707. Suppose -18*l + n = -5700. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 15*z**2 + 25. Let d(s) = -4*s**2 - 6. Let m(p) = 3*p**3 + 52*p**2 - 36*p + 25. Let b be m(-18). Calculate b*d(v) + 6*l(v).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 33*p**2 + 2027*p - 68076. Determine l(35).\nAnswer: 419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-3)*k)\/(k*k\/(k\/k**(-6))))**38)**(-38) assuming k is positive.\nAnswer: k**(-5776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3074*w**4 + 7878*w**3 - w**2 + 28*w + 1992800 wrt w?\nAnswer: 36888*w**2 + 47268*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 22*r + 26*r - 2, -5*p + 2*r + 27 = 0. Let w be (-12)\/56*-4*p\/2. Solve -5 + 8 = w*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74928 and 6832.\nAnswer: 4570608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -6 - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7264ac (base 14) to base 4.\nAnswer: -32232020320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 1:34 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 1\/15*s**6 + 2\/5*s**2 + 0*s - 2\/25*s**5 - 112 - 3\/10*s**4 + 2\/15*s**3. Let t(o) = 0. What is o?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-4)\/(-4))\/(-1). Let a = 3 + -3. Let z = -205.5 - -206. What is the closest to a in 6, j, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/225*5)\/((-22)\/(-55)*(-5)\/(-115)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x**(4\/3)\/x*x*x))*x**11)\/(x**0)**5 assuming x is positive.\nAnswer: x**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y = 3*j - 199, j - 66 = -y. List the prime factors of j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -22*f - 6. Let z(b) = 1. Let p(c) = q(c) + 6*z(c). Let u be 403\/93 - (0 - (-4)\/(-6)). Let g(v) = 1 + 4 - v - u. Calculate p(g(d)).\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/3)\/d)**44)**24 assuming d is positive.\nAnswer: d**704","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.053, 2, 1\/3, 0, 3?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*w**2 - 2*w**2 + 16*w**2 + 13*w**2 to u*w**2 + b + q*w and give u.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4539 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*p)*(-2*p**3 - p**3 + 6*p**3) - 13*p**4 + 25*p**4 + 13*p**4.\nAnswer: 34*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2361278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9\/2, -4, 0, 243 in decreasing order.\nAnswer: 243, 9\/2, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332850.\nAnswer: 2, 3, 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10150345253 + 4?\nAnswer: 10150345301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4185\/780)\/93*1*(-4)\/(-3)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -62 = 2.009631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 19}. Give prob of sequence jl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n + 30 = 49*n - 2*a, a + 13 = 2*n. Suppose 7*o = 4*g + 2*o - 18, o + 10 = 4*g. Let b = g - 0. Solve -10 = b*k - n*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190 (base 15) to base 5.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-24))\/(4\/(-18)). Suppose -3*x - 4 = x. Which is smaller: x or d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5502 is divided by 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 57\/11 + 4\/(-22). Suppose -3*z = -w*z + 6. What is the units digit of -3 + 5 + z + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2447aa8 (base 11) in base 13?\nAnswer: -b6057a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2333929, 4667839, 7001735, 9335611, 11669461?\nAnswer: 14003279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -17, -257, 1, 8, -1\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 615033*h**3 + 615087*h**3 - 1230115*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17700 is divided by 181?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14 - (3 + -3 - 2). Let u = 31 - -9. Calculate the greatest common factor of m and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -269, 3 in ascending order.\nAnswer: -269, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccvvcvccvv. What is prob of sequence vcv?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -2 - (27 + (-91 - -72)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2278.9 * -1\nAnswer: 2278.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 452 + 42 = -117*g + 26 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 429, -2, 4 in descending order.\nAnswer: 429, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 11:03 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6460850 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 566.29 litres to millilitres.\nAnswer: 566290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3004 is divided by 63.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 86401407133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -2 - 6\/(-2) - 4. Suppose -3*z + g = -24. Let y(s) = s - 18. What is y(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 4*o = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 1. Let w(s) = -2*s - 5. Let v be ((-32)\/10)\/((-6)\/15). Let k(i) = -i - 2. Calculate j*w(r) + v*k(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -9881, 22, 2 in descending order.\nAnswer: 22, 3, 2, -1, -9881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -4, 2, 3549299, 1 in decreasing order.\nAnswer: 3549299, 16, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 857258 - 2657258 = 0. What is q rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 - ((-4)\/(-5))\/(3 + 4147\/(-1375)) is divided by 45?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2478057?\nAnswer: 3, 826019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25 - (21 + -7842)*7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2816 - 2788. Calculate the lowest common multiple of 212 and j.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117*(-22)\/(-190476)*(-3)\/3?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*r**6 - 4*r**4 + 2*r**3 - 2*r**2 + 5111 wrt r.\nAnswer: 13800*r**3 - 96*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 7*t - 10. Let v be o(7). Let h be 1\/3 - 13\/v. Let w(d) = d**2 + 72. List the prime factors of w(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/((2\/(-4))\/(170\/(-68)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*330\/220*23\/3.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a microsecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 29*x**2 - 2*x - 1. Let h = 35 + -36. Determine f(h).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 + 20269.\nAnswer: 20293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 + 454*p - 454*p to s + v*p + h*p**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 9 = -2*r, r = -g. Let t = 25 - 23. Suppose 3 = -z - t, -2*z = 4*f + 14. Sort f, g, -2 in increasing order.\nAnswer: -2, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Let t = 14 - o. Let q = -12 + t. Which is smaller: q or -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -490638, -981270, -1471902, -1962534, -2453166, -2943798?\nAnswer: -3434430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159986046 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: Simplify (sqrt(2736) + -1)**2 + 3 + -1.\nAnswer: -24*sqrt(19) + 2739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 7835880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 6 + 8 = -18 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -20. Suppose k = 2*u - 3. Suppose 7*n - u*n = 330. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.16 and 0.14?\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(44) - (sqrt(352) + sqrt(352) + -2*sqrt(352))\/sqrt(8))*-3 - ((sqrt(396) + sqrt(396) + sqrt(396)*-2)*-6)\/sqrt(9))**2.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (0 - 5)) + -2 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -21616 greater than or equal to -1275418\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -470463, -940833, -1411201, -1881567, -2351931?\nAnswer: -2822293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46996407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10481 - -11212. Calculate the remainder when w is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4754.165 tonnes?\nAnswer: 4754165000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -3*q + 482. Factor -6*v + v**2 - 2*v**2 - q + 234.\nAnswer: -v*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18127340401 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, 13, -0.4, -0.2, 0.21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26263 and -188.\nAnswer: -26451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 14*h**2 + 4*h. Let c(r) be the first derivative of 5*r**3 + 5*r**2\/2 - 420. Give -5*b(i) + 4*c(i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -13 (c) -0.5 (d) 3 (e) -2\/7 (f) 0.1637 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5584 = 1204. Let g = k + 266. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -3, 3, -0.2, -92.3, -138 in decreasing order.\nAnswer: 22, 3, -0.2, -3, -92.3, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/39 and -131\/378.\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*((-7)\/2)\/(-7). Solve 17 = -i*q + 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/23)*t**(-6)*t**3\/(t\/t**4))**(-3\/2) assuming t is positive.\nAnswer: t**(3\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108512065.\nAnswer: 5, 839, 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 1:58 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801108.\nAnswer: 2, 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 121 - 212 - 331*i - 204*i + 101 as m*i + g and give m.\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1249827\/108 + (-1)\/(-4). Let b = p - 11565. Calculate the common denominator of b and (-2)\/(-6) + (-1492)\/120.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 74*y + 2. Let z be b(2). Let i be ((-188)\/(-1 - 1))\/1. Suppose -90*u + i*u = 100. Calculate the greatest common factor of u and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455760 and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1880\/85 - (8\/68 - 0). Suppose 3*a + m - 59 = 0, 3*a + 4*m - 8*m = 34. Suppose -s*k + a*k = -208. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -1. Let t = 1 + -1. Let f(v) = -2*v + 1 - 4*v + 2*v + t*v. Give f(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + 183 + 8\/2 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmigmi. Give prob of sequence im.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)*1)\/(sqrt(700)*1 + sqrt(700)) + (2*sqrt(2700))**2 + -3.\nAnswer: sqrt(3)\/5 + 10797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1699 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5877 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2 - 7*t + 2. Let u be b(-8). Let o = u - -205. Solve -3*q + 20 = -o*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2550 divided by -3.\nAnswer: -850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8 + 2487*t**2 + 51 - 33 - 10. Let w(f) = 3*f**2. What is w(v(l))?\nAnswer: 18555507*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*i - 44*i - 20*i)*(-2 - 2*i**3 - 134*i**2 - 135*i**2 + 270*i**2 + 3*i) to the form n*i**3 + p*i**4 + k + y*i + c*i**2 and give c.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, s: 1, o: 1, x: 1, u: 4}. Give prob of sequence sox.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**2 + 3*g + 3. Let z = 2459 - 2461. Let a(y) = 4*y - 6. Let r be a(4). Let j be 2*1 - r\/2. Let b(l) = -4*l**2 - 2*l - 2. What is j*b(c) + z*q(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.82 + -1.02. Which is the biggest value? (a) 2 (b) -2\/19 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 510036448?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*((-272)\/40)\/(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10154 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 670, 848, 1146, 1564, 2102, 2760, 3538?\n\"Answer: 60*x**2 - 2*x + 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g + 18 = 0. Calculate the remainder when 34 is divided by 152\/12 + (-4)\/g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 627, 673, 733, 813, 919?\n\"Answer: x**3 + x**2 + 36*x + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 4*v**2 + 20275*v**3 - 2 - 40534*v**3 + 4*v**2 + 20218*v**3.\nAnswer: -41*v**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -p + 2197, 23*p + 1094 = b + 25*p. What is the highest common factor of b and 352?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 6*k + 6. Let r(x) = 0*x - 4*x + 5*x. Let b(n) = -6*r(n) + v(n). Differentiate b(y) wrt y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3778163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29894950 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**4 - 200*n**3 = 0. Calculate n.\nAnswer: 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7 = -1. Suppose 0 = a*u + 2*o + 8, u - 2*o + 20 = -3*u. Is 7 a factor of ((-2)\/u + 0)*(1 - -13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 104\/9 (b) -2.05 (c) -2\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.9637ml to litres.\nAnswer: 0.0999637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) -23 (c) 1\/2 (d) -0.47 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 16*k + 45. Let t be v(0). Calculate the greatest common factor of 36 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 120.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssgg when four letters picked without replacement from {g: 5, s: 10, r: 4}?\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + y - 5, -6*y = -3*u - 7*y + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9173843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**6\/30 + w**5\/10 - w**4\/4 - 2*w**3\/3 + 2*w**2 - 64*w. Solve o(n) = 0 for n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9940969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(4\/5)*j\/(j*j**7\/j)*j*(j*j*j\/j**3)\/j*j\/j**(-11))**(-4\/13) assuming j is positive.\nAnswer: j**(-136\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2 - 42*i + 80. Let s(m) = -4*m**2 - 42*m + 81. Let g(n) = -3*o(n) + 4*s(n). Differentiate g(t) wrt t.\nAnswer: -2*t - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03912, -1\/4, 4, -4, 0.4 in decreasing order.\nAnswer: 4, 0.4, -0.03912, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrfffrrr. Give prob of picking 2 f.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 901948400 rounded to the nearest one million?\nAnswer: 902000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 39, 167, 381, 681, 1067, 1539, 2097?\n\"Answer: 43*i**2 - i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(((-20)\/34)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -614 - -501 - (6\/(-15) - (-22)\/5). Let b = -382 + 634. Let y = t + b. What is the highest common factor of y and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2)*-1 + 5 + (sqrt(24)\/sqrt(3) + sqrt(8))\/sqrt(4))*2.\nAnswer: 2*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/13*6*30\/(-60))\/(-1).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50122 - 2606251\/52. What is the common denominator of 79\/232 and n?\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**3))\/c)**(-28) assuming c is positive.\nAnswer: c**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4732 + 2192. Let n = -63491\/25 - y. Is n less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-260)\/(-16)*((-68)\/10)\/(-2). Let u = t + -44. Calculate the common denominator of -43\/8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 2*a. Let v be o(2). Is (v\/10)\/(2\/290) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 6*f**2 + 18*f + 26. What is g(-9)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/784 and 101\/294?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vhv when three letters picked without replacement from {h: 2, v: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3*8*-17)\/(2 + -1). Let x = -403 + a. Solve z - 5 = -u, -5*z - u = -x*u + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = x + 7 + 2, -19 = -2*a + 3*x. Let z = 7 + -11. Let h be -2*(-4)\/8 - z. Solve a*g = -2*d + h*d - 16, -5*d = -g - 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22\/1*((-243716)\/(-1624) - 8\/14)?\nAnswer: 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16 take away -39?\nAnswer: 37.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**5 - 5425*l**4 - 392445*l**3 + 670604725*l**2 + 670991750*l = 0.\nAnswer: -685, -1, 0, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43955454*r**5 + 22523*r - 407?\nAnswer: 879109080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -v - 229, -3*d + 6*d + 4*v - 167 = 0. Let p = d + -229\/4. Let h = -3 - -3.5. Which is the nearest to p? (a) h (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*m - 521, 5*m - 2147 = -12*k + 8*k. Does 23 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -357185 + 357185 + 19183*c.\nAnswer: 19183*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2751 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2. Let g(k) = -k**2 - 8*k. Let b be g(-8). Let q = 3 + b. Let x(j) = -q*j**2 + 6 - 5 - j**2 - 2. Give 3*d(i) - x(i).\nAnswer: i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**3 + 20*s**2 + 162*s - 180 = 0 for s.\nAnswer: -6, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42003857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -4*z - z. Suppose -y + 27 = 10. Suppose 7*v + 10 - y = 0. Solve -4*c = v - z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (6 + -11 + 18)) + 44 + -3 + 9?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 9337 = 5*p - v, -5*p = -2*v - 9319. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7484, 182 in ascending order.\nAnswer: -7484, -5, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11946.\nAnswer: 2, 3, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1530 and -6?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 873878.3 millennia?\nAnswer: 87387830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12292308 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 13*i - 17. Let d be a(-12). Put 2\/13, -4, 4, d in descending order.\nAnswer: 4, 2\/13, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21401604 divided by 2377956?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 4*d + 8. Solve -d*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -704*u = -m - 706*u + 5, -5*m - 4*u = -25. Sort 1, m, -2, -1, -124 in descending order.\nAnswer: m, 1, -1, -2, -124","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 + 217. Let x = -27403\/7 + 3915. Put u, 0.4, x in decreasing order.\nAnswer: u, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p + 270. Suppose 4*l - 81 = p. What is the remainder when l is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 476*q**2 + 4115*q\/3 + 100\/3 = 0.\nAnswer: -20\/7, -5\/204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 30 = 4*k. Let n be (-37)\/((-1554)\/108) - (-6)\/14. Solve k = -n*m - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 16 = -3*d. Let n = d - -30. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -258.79 + 262.79. What is the second smallest value in z, -180, 7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -19*d. Let a(r) = 19*r - 3. Let j(k) = -19*k + 2. Let q(h) = 2*a(h) + 3*j(h). Give -3*q(u) + 2*v(u).\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97328 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: Suppose l + 25 = 6*l. Suppose 14 + 26 = l*f. Let k(g) = 17*g - 14 + 15*g - 56*g + 14*g + 8*g. Let p(a) = -a - 9. Give f*p(j) - 5*k(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y\/y**0)\/y)\/y*y)**(-25\/3))**34 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 407128 (base 9) to base 6\nAnswer: 5101342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2151 take away 0.00244?\nAnswer: 2150.99756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 98\/42*-6 + 13. Which is bigger: 2\/15001 or c?\nAnswer: 2\/15001","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44eb (base 15) in base 4?\nAnswer: 3210131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-14))\/((3*1)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8*w = 9. Let y be (11 - w\/(-1)) + -4. Calculate the greatest common divisor of 60 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16512 is divided by 186.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - p**2 + 3 + 25*p**2 to the form r*p + b*p**2 + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138928752?\nAnswer: 2, 3, 964783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2484 - 2483.799986. Let c = 0.2 - l. Round c to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25713 is divided by 219.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 2*b + 3. Let m be k(0). Solve 0 = 2*g + t + 8, m*g = 4*t - 7*t - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 8:18 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -302*s**5 - 17735*s**3 + 10*s - 1150351.\nAnswer: -6040*s**3 - 106410*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6 - 2 = 0. Let s = -0.1 - 1.7. Let o = -1.2 + s. Which is the second biggest value? (a) 1 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13984*a**2 + 49*a - 6271370.\nAnswer: 27968*a + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s - 6. Let u = -741.5 + 741. Which is the biggest value? (a) -2\/17 (b) s (c) 2\/15 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19129345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*w**3 + 57*w**3 - 2*w**2 - 47*w**3.\nAnswer: 67*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983545?\nAnswer: 5, 196709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 16*c + 35. Let t be w(-10). Let n = -13 + t. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 177114429*y + 5*y**3 - 177114559*y - 4.\nAnswer: 5*y**3 - 130*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -825, -195 in decreasing order.\nAnswer: 1, -195, -825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -162578, -325169, -487760, -650351?\n\"Answer: -162591*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 28*u + 55. Let m be b(-26). Let r(v) = 12*v + 5. Calculate the remainder when 121 is divided by r(m).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/18*(-4197 - -4196)\/(16\/6 - 2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5109341?\nAnswer: 59, 86599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -208 - -344. Solve -u + 134 = y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 85419.4 and 41?\nAnswer: 3502195.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t - 30*t = -53*t. Suppose t = -22*d + 23*d - 6. Solve 3*h - 2*h = d*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.014, -2, -11\/2?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3912.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/990 and 131\/832700?\nAnswer: 7494300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*v + 53*v = 80 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7\/4, 1\/3, -537465?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 28*b**2 + 27*b - 42. What is s(27)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -0.3 (b) 9047 (c) -141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -1\/60*s**6 + 0*s + 23*s**2 - 1\/168*s**8 + 1\/6*s**4 + 0*s**3 - 1\/10*s**5 + 0 + 1\/35*s**7. Determine a, given that i(a) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/5 + 1\/5. Let l(x) = 0 + 1 + 1 + 3*x**2 + 0*x**2. Let u(o) = -o**2 - 1. Determine h*u(p) - l(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 5*v + 2*s, -4*v - 4*s + s + 90 = 0. Suppose -4*r + v = -3*x, 0 = 13*r - 12*r - 2*x - 1. Calculate the greatest common factor of r and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25.035 + -0.035. Let q = -77 + r. Let o = q + 59.7. What is o rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9812520 and 1320?\nAnswer: 107937720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y. Let p(u) = -4101*u**2. Calculate p(v(n)).\nAnswer: -16404*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*j**4 + 56*j + j**4 + 5*j**2 - 12 - 16 + 58*j**3 + 39 wrt j.\nAnswer: 12*j**2 + 348*j + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10435 (base 10) to base 7.\nAnswer: -42265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10864999?\nAnswer: 10864999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-26))\/(2272\/(-29536))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**2*m + 853*k**2*u - k**2 + k*m*u - 3*k*m - 15270*k + 7*m + 6948*u + 1 wrt u.\nAnswer: 853*k**2 + k*m + 6948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8*-8.959\nAnswer: -71.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19941 divided by -69\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 13, 20, 29, 40, 53, 68?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 12*x - 2. Calculate l(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c - 4. Give m(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Suppose -2 = -5*n - 2*o + 4, 5*n - 18 = 4*o. Suppose s = -n + 3. Calculate the remainder when w is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 14, 11, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**6\/24 + 7*r**3\/6 - r**2\/2 + 4. Let m(x) be the second derivative of b(x). Find the first derivative of m(p) wrt p.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**5*y)**(6\/11)\/(y*y\/y**(-7\/3)*y*y\/(y\/(y*y**0))*y))**6 assuming y is positive.\nAnswer: y**(-592\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7058\/13 or 544?\nAnswer: 7058\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehrccdceecdkkdd. Give prob of picking 1 d, 1 c, and 1 h.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2*z - 11, -3*t - 4*z + 17 = 2*t. Let k = 16 - 14. Let n(x) = -4*x**2 - 2*x + 4*x**2 - 3*x**k + x. Give n(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63\/(((-105)\/14)\/(-5)) and 77?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -119*b**3 - 4*b**2 + 105*b + 1. Let v(o) = 119*o**3 + 5*o**2 - 104*o - 1. Let u(a) = -4*v(a) - 5*z(a). What is the second derivative of u(t) wrt t?\nAnswer: 714*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16882637 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 7\/3*i**5 + 0 + 85\/24*i**4 + 11\/12*i**6 + 4\/21*i**7 + 5\/336*i**8 - 58*i + 10\/3*i**3 - i**2. Factor v(l).\nAnswer: 5*(l + 1)**4*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -1184*b**2 - 6*b + 12. Let o be h(2). What is o rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 40 = -4*a. What is x in 18*x**3 - 8\/3*x**2 + 36*x**a + 0 + 18*x**5 - 8\/3*x = 0?\nAnswer: -1, -2\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q**(2\/5)))*q*q)**(-30)\/(q\/(((q\/(q*q*(q*q**14\/q*q)\/q))\/q)\/q)*q*q*(q*q\/(((q*q\/q**(1\/8)*q)\/q)\/q))\/q*q*q) assuming q is positive.\nAnswer: q**(-993\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 172588085 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*u - 17 = 0, -15 = 3*u - 3. Let r = 0.8 - 0.5. What is the nearest to 2 in r, q, -1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 11*w - 62. Let u be z(6). Solve -10 = u*d - 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3033 + 3053 - 6268*h - 6086 as i + u*h and give u.\nAnswer: -6268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 - (0\/(-1) - 1). Calculate the least common multiple of (-1 + -2)\/(q\/20) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*b + 3 + (0 + 1 + 1)*(2*b - 2*b - 2*b) + 2*b - 2*b - 2*b - 2*b - 10 + 2 + 0.\nAnswer: -10*b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 + 68*s**4 - 62*s**2 + 4*s + 30*s**3 + 46*s - 15 - 73*s**4 = 0. What is s?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/8 - 5\/(-2). Let n(q) = 572*q - 5. Is n(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2399162 (base 10) to base 8\nAnswer: -11115672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**3 - 4*t**2 + 4*t**3 + 2*t + 0*t**3 - 5. Suppose 0 = -5*x - 4*x - 45. Let v be g(x). Calculate the highest common divisor of 70 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3599 (b) 2 (c) 175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656*o - 82084 + 82084.\nAnswer: -656*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*x - 21*x - 5*l + 1824, 5*x = -l + 2259. Let g = x - 452. Let m = 4.7 - -0.3. Which is the closest to 0? (a) g (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500 + 23.\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 19. Solve 26 - 6 = -a*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 914*f**3*p**2 + 2*f**3 + 40725*f**2*p**2 - f**2 wrt f?\nAnswer: 5484*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n + 23. Let z be x(6). Solve -6*m - 10 = -m + 5*q, -z*m - 4*q = 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4257.308117 + -0.3.\nAnswer: -4257.608117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 138\/42 + 2\/(-7). Let d(y) = y - 2*y**w + 0*y + 4*y**3 - 2*y**2 - y**3. Let o = -1 - 1. Let p(a) = 2*a**3 - 5*a**2 + 3*a. Determine o*p(f) + 5*d(f).\nAnswer: f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 303, 4, 154.\nAnswer: 4, 13, 154, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(-1\/2)*r))**(-15)*((((r\/(r*r**(-4)\/r))\/r)\/r)\/r)\/r**10 assuming r is positive.\nAnswer: r**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 146161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by -3034793\nAnswer: -25\/3034793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 58. Let q be 4\/1 - (-4 - (13 - 0)). What is the remainder when u(q) is divided by (-5)\/25 + (-52)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -w - 4*i, -5*i = 174*w - 179*w + 65 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z = -14*z. Let l be (2 + -2)\/(2 + 0). Solve -p + l*p + 2 = z for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3595, 28894, 97611, 231472, 452203, 781530, 1241179, 1852876?\nAnswer: 2638347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r + 9. What is x(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*p - 23*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.143 - -2.937. Let s = 3.211 - c. What is s rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90 + 89. Which is the third smallest value? (a) 3 (b) 0.2 (c) 0.5 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*w + 32*w - 350 = 0. Let h(x) = -2*x - 1. Let j be h(-2). Sort j, w, 5 in descending order.\nAnswer: 5, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l = -5*m - 32, 0 = -l + 4*m + 11429 - 11408 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 13*w**2 + 10*w - 31. Suppose -9*q - 5 = -4*q, 5*q + 9 = t. Suppose t*j + 46 = 5*p - 0, j + p = -16. Is 25 a factor of c(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-15)*(-1450)\/(-464)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33\/70 + -1\/14. Which is smaller: -3\/5 or l?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00693 rounded to four dps?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -34. Solve j + 2*h - t - 4 = 0, 4*h - 22 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 1161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 7. Let a be k(5). Suppose -3*z + 5*g = -13, -15 - 17 = a*z + 4*g. Put z, -5, 2 in decreasing order.\nAnswer: 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 - 543*g + 44828\/3.\nAnswer: (g - 1601)*(g - 28)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 808763 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**5\/9 + 740*q**4\/9 - 5156*q**3\/9 - 110308*q**2\/9 - 202208*q\/9 - 97792\/9 = 0.\nAnswer: -191, -8, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -955 and 1998562?\nAnswer: 1999517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 95 = z + 5*x, -2*z - x + 32 = 0. Suppose -c - z = -135. Calculate the common denominator of (c\/(-12))\/(18\/12) and -13\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3\/3 - 93956*n**2 + 187914*n - 281872\/3 = 0.\nAnswer: -140936, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/12)\/(1\/(-15)). Let b(t) = -t**2 + 4*t. Let p be b(4). Sort -2, x, p in increasing order.\nAnswer: -2, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 11) to base 7\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 2. Suppose -3*q - 2*s + 10 = -3, x*q - 2 = 5*s. Solve 2 + 1 = q*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1310 and 1423315?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/61, 1\/5, -26 in decreasing order.\nAnswer: 1\/5, 2\/61, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 122626353 - 1?\nAnswer: 122626352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*k + 4, k = f - 7 + 4. Let d be (28\/(-21))\/(-2*f\/72). What are the prime factors of d\/(-7)*(-147)\/(-42)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -10 - (0 + -2 - 12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115.91 - 115. Let c = 23.09 + h. Let d = c + -24.00000306. Round d to 7 dps.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 416\/7, 2\/35, 6, 16?\nAnswer: 416\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1670, -1597, -1476, -1307?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1295 + 0.1295. What is the nearest to s in 0.3, 0.2, 0.08, -13?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - ((3 - -3) + -8)) + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020639934 rounded to six decimal places?\nAnswer: -0.002064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -280*c. Does 14 divide t(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 27, -3, 0.\nAnswer: -3, 0, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 997\/398 + -1\/199. Let t = 613477210 + -1387685508175\/2262. Let o = -703\/29 - t. What is the common denominator of g and o?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/6 (b) -9774 (c) -1\/6 (d) -5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16332608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*y + 77*y = 139*y - 90 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/7)\/(22\/((-58)\/29))*(-21)\/(-24)?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -190638840\/37 > -5152401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56983001 is divided by 28491477.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52)\/(2*sqrt(4)))**2 - ((-1 + sqrt(13))*-4)**2)*-2.\nAnswer: -64*sqrt(13) + 883\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6293912069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33039 less than 33040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/(l**(-9)\/l*l))*l*l))\/l*l\/(l**(-10)*l)*(l**(-3)\/l)**(-1\/14) assuming l is positive.\nAnswer: l**(121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3007 divided by 7?\nAnswer: 3007\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 3*g**2 - 2*g - 2. Let o(c) = -5*c**3 - 13*c**2 + 9*c + 8. Let a(u) = -u**2 - 7*u - 8. Let j be a(-6). Calculate j*o(v) - 9*w(v).\nAnswer: v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -15, 2\/19, -0.5, 5\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -53\/22603 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -1291 + 1345. Calculate the least common multiple of p and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 28262290.\nAnswer: -1\/5652458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1185, -11, 7, -14 in ascending order.\nAnswer: -1185, -14, -11, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -39. Let y(u) = -u + 78. What is 5*p(h) + 3*y(h)?\nAnswer: -3*h + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = n - 8*q + 13, -q + 3 = 0. Suppose n*j + 4*m + 7 = 29, 4*m + 73 = 3*j. Find the common denominator of -3\/11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -403220 (base 5) to base 14\nAnswer: -49dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -718.\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 14. Let i = -0.227 + 0.035. Let s = i + -0.108. Put -5, x, s in descending order.\nAnswer: x, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 7*h + 35. Let q be ((-8)\/h)\/((-8)\/(-20)). Solve -9 = q*s - s, 3*s - 3 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 588 and 2874291.\nAnswer: 11497164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j - 3 + j + 3. Let i(t) = 6*t**2. Give u(i(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 18*v**2 - 68*v - 10. Give w(-12).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2828*d + 8*d - 293160 = 425*d - 2824*d for d.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -24, -1, -26.\nAnswer: -26, -24, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 612.0793 + 28888915.9207. Let o = r + -28889499.999949. Let d = o - 28. What is d rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5041 is divided by 1677?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m. Let s(j) = 5 - 2 - 2*j - 2 - 7*j. Let g(x) = -6*n(x) + s(x). What is the first derivative of g(q) wrt q?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*u**2 - 56*u**2 + 100*u**2 + 6*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21120112 - 300?\nAnswer: -21120412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11622\/(-6632) + (-168)\/(-96). Let u = m - -5807\/1658. Factor 0 + i**3 + u*i**2 + 3\/2*i.\nAnswer: i*(i + 3)*(2*i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*x + 12718 + 1652 = 0, 2*x = 5*j - 35973. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/47))**40 assuming q is positive.\nAnswer: q**(-80\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130 - 37. Let m = -92 + z. Solve 5*l = 4*u - 13 + m, -4*u + 12 = -2*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 2*d = -6, -3 = 20*k - 16*k + d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 22340 = -57768. Is 37 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 15*b. Let z be 24\/(-78)*-19 + 4\/26. Let l(i) = -7*i**2 + z*i**2 - i**2. Calculate c(l(g)).\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20680257*l**4 - 46828474?\nAnswer: 82721028*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -384, 8, 2, 0, -2 in increasing order.\nAnswer: -384, -3, -2, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 705 = -5*v, -5*v - c = -4*c + 705. Let s = v + 144. Solve -s*b - 5*a - 9 = -0*b, -3*a - 11 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1946\/834*(-12)\/1106*1.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*p + 79*p + 21. Suppose 0 = -5*r + 3*t + 7062, -p*r - r + 3*t + 5652 = 0. Differentiate r*c**2 - 1410*c**2 + 8 + 4*c**4 - 47 with respect to c.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 3:21 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + m - 3 = 0, -4*f + 3*m - 3 = 2. Which is the second smallest value? (a) 0.4 (b) -1 (c) 0 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0913629ns in milliseconds?\nAnswer: 0.0000000913629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -5*y - 308. Let i be (0 - 3)\/((-6)\/y). Suppose -4*l - 15 + 71 = 0. Calculate the greatest common divisor of i and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6\/(-10) + -3 + (-396480)\/(-50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, r: 7}. What is prob of picking 3 r and 1 c?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b**2. Let x(q) = q**2 - 10*q - 18. Let v be x(-6). Suppose 4*z - d - v = 0, 86 = 6*z - 2*z + 3*d. Let t(c) = -44*c + z*c + 23*c. Give t(j(y)).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p**2 + 6*p**3 + 0*p - 8*p**3 + 0*p as w*p**3 + q*p**2 + k + c*p and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -207 (b) -4 (c) 0.1 (d) 6564\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6243\/4 - -1561. Put c, -5\/4, -32, -1\/4 in decreasing order.\nAnswer: c, -1\/4, -5\/4, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003 equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/727, 2, 1.\nAnswer: -1\/727, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, m: 4, n: 2, e: 3, z: 4, k: 3}. Give prob of picking 2 z, 1 e, and 1 k.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -5. Suppose 4*d + 2*j = 12, j = 3*d - 2*d. Let r(g) = -1 + 3*g + 2 - 3 + g**d. Calculate r(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00777229 + 13497\nAnswer: 13496.99222771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*d - 92*d = -48 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-12))\/(420\/(-180)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48549 is divided by 12126.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(-9)*u*u\/(u**(13\/5)\/u) assuming u is positive.\nAnswer: u**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -324622.1 to the nearest one thousand.\nAnswer: -325000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(15\/6 - 3). Suppose 6 = i + k*i. Solve 0 = -5*b - i*q - 21, q = 1 + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 25*g**2 - 23*g + 22. Let l be t(-24). Let q = -8.7 + 9. Let p = 229 - 230. Which is the nearest to p? (a) q (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.95 + -0.76. What is q rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -1 + 5 + 0 + 0. Let x(c) = c + 1. Determine -i(m) + 2*x(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 66 = 3*x, -14*x - 177 - 190 = o for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r + 6. Let d(h) = -10*h - 5. Let j(l) = 7*d(l) + 6*p(l). Let t be j(1). Sort -43, t, 5 in decreasing order.\nAnswer: 5, t, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - (23 - (-54 + -25))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4732787 divided by 2?\nAnswer: 4732787\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-66))\/((-87612)\/(-22946))\nAnswer: -4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 3. Suppose 0*w - 2*w = 0. Suppose -5*i - 11 - 19 = w. Let h(p) = p**2 + 5*p - 2. Let y be h(i). What is k(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 22, 1\/3, -6, -0.04, 0.2, 548\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 41*a**2 + 2*a + 1. What are the prime factors of b(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -12*v + 120. Let i be k(10). Suppose 308*q - 301*q - 5698 = i. What are the prime factors of q?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7082 (b) 0.03 (c) 6 (d) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -277, -378, -509, -670, -861, -1082, -1333?\n\"Answer: -15*k**2 - 56*k - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s - 16. Let t be a(12). Let w be (-3)\/12 - (-34)\/8. Calculate the greatest common divisor of w and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 16*x + 5. Let i be g(14). Let q = -20 - i. Let c(p) = -4*p + q*p - 2*p + 0*p. Let z(j) = 3*j. What is z(c(h))?\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - b**2 + 0)*(33*b**2 - 57*b**2 + 11*b**2) - 1 + 1 - 2*b**4 - 3*b**3 - 7*b**4 + 3*b**3.\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -41574.\nAnswer: -1\/13858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1380\/1400)\/(3\/5). Is 1 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1433 - -1433.5. What is the closest to z in -7, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) - (sqrt(325)*-5 + sqrt(325)))*5 - sqrt(325))**2 - sqrt(325) - sqrt(104)\/(sqrt(1152)*-2).\nAnswer: -119*sqrt(13)\/24 + 187200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32216 - -65277. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**5 - 9*l**4 - 4*l**3 - l**2. Let y(j) = 2*j**5 - 5*j**4 - 2*j**3 - j**2. Let o(p) = -3*b(p) + 5*y(p). Let o(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-107)\/856)\/(693\/(-2376)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2160168 is divided by 179?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -11\/4 (b) -737 (c) -1 (d) 1\/10 (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 25*l**3\/6 - 9*l - 44. Let b(g) be the first derivative of i(g). Let j(h) = 4*h**2. Give j(b(a)).\nAnswer: 2500*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106784\/7 + -15255. What is the biggest value in -38, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5193549 and 36.\nAnswer: 20774196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:32 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.9 (b) 4\/5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by -36.\nAnswer: 25\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 - 1. Let z(d) = 2*d**2. What is 3*m(u) + 5*z(u)?\nAnswer: -2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*s**4 - 2811*s**3 + 2*s**2 + 180506*s.\nAnswer: -72*s**2 - 16866*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 866437 from -3.5.\nAnswer: -866440.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(4\/11))\/(z**(-29)\/z) assuming z is positive.\nAnswer: z**(337\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101584, 203191, 304822, 406471, 508132, 609799, 711466, 813127?\nAnswer: 914776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-4\/7))\/(y*y\/(y\/(y\/(y*(((y**3*y*y)\/y)\/y)\/y))))*(y*(y\/((y\/(y*y**3)*y)\/y))\/y*y*y)**(2\/5))**(-4\/25) assuming y is positive.\nAnswer: y**(-696\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*i**3 - 54 - 2*i + 2*i - 243*i**3.\nAnswer: i**3 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e + 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -8974*n + 8973. What is u(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 43. Sort n, 1, -12 in ascending order.\nAnswer: -12, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 4*n**3 + 0*n**3)*(-n**2 + 0 + 3 - 2*n**2).\nAnswer: -3*n**5 + 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43280437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + b - 14. Does 14 divide c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57444161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-168))\/((-6)\/9).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111 - 108. Let o be ((-38)\/(-4))\/(2\/4). Solve 0 = -5*s - 4*h - 33, -s - a*h = -6*s - o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1056 and 1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 6*n + 6. Let t be b(6). Solve q - p + 1 = -1, 0 = -2*p + t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 4*p + 70 = 4*p + 204, v + 8*p = 4*v + 34 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -17*m + 19*m - 4962, m - 1 = 0. List the prime factors of z.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/6, -14, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2680 is divided by 1320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20382.\nAnswer: 2, 3, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -198 + 18. Let v = u - 25. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 4)*(1 - 1 - 2*j) - 1591*j + 271*j - 614*j to p*j + u and give p.\nAnswer: -1932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -487 or -253?\nAnswer: -487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4*d)\/d)\/d**(2\/7)*(d**(2\/3))**(1\/3) assuming d is positive.\nAnswer: d**(248\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 7 + 4 - 3 - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, o: 7}. What is prob of sequence ppo?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 8*u**2 + 58*u - 48.\nAnswer: -2*(u - 3)*(u - 1)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 + 810*n + 7*n**2 - 6*n**3 - 3574*n.\nAnswer: -6*n**3 - 2764*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 1.6621.\nAnswer: 5.6621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-42)*(3\/2 - 2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130923 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + 6 = 0. Suppose x*g + 19 = 2*k, g + 3*g + 22 = 2*k. Solve 0 = -o - k*q + 11, -4*q = o - 0*o - 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3697.\nAnswer: 5\/3697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*u**2 - 572*u**2 + 307*u**2.\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 4*v - 8. Let x be q(7). Suppose -4*k + 3 = m, 0 = 2*k - k + 3*m + x. Suppose 2*j - 182 = -5*w + 3*w, -3*w - 202 = -k*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*x**4 - x**3 - 20*x**4 - 2 + 2*x**2 - 5*x**3 to the form q*x**2 + l + r*x + w*x**4 + n*x**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**(-6\/5)*q)\/q)**(3\/16)\/(q**(-19)*q**(6\/11)) assuming q is positive.\nAnswer: q**(16207\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 68266.173 to the nearest one thousand.\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -210?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 5 + 5)*(-4 + 2 + 1) - d + 0*d + 7*d + 3*d + 0*d - d + (2*d - 6*d + 2*d)*(-2 + 3 - 2) + 5*d - 2*d - 2*d as j + w*d and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**3 + 8*s**3 - 16*s**3 + 11 with respect to s.\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(5\/9)\/t**7 assuming t is positive.\nAnswer: t**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1988565 and 1665?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -21.5. What is the second smallest value in -2\/11, v, -3, 0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-870)\/18 - (-3)\/9. Does 20 divide (-3564)\/u + 3\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1025144 = 18*j - 5053114. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a week in hours?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c. Give a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.01, -13, 4, -15?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41886876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000819 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16462488.7 * -0.4.\nAnswer: 6584995.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + w - 3 = x, -2*x + 5*w = 2. Let h(y) = -55*y. Is h(x) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 2. Let k be y(-3). Let l(r) = r**2 + 12*r + 8. Let o be l(k). Let u(x) = 2*x**2 - x - 1. Let m(h) = -h**2 + h + 1. Calculate o*u(d) - 3*m(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 9*k - 105. Find the common denominator of 53\/8 and (-62)\/(-4)*(-3)\/k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + c - 4. Let j(z) = 2*z**3 + 143*z**2 - 8*z + 22. Calculate -5*g(r) - j(r).\nAnswer: 3*r**3 - 143*r**2 + 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36771 + 36487 + 6*c - 4*c)*(3*c + c + 0*c) as n*c + y + m*c**2 and give n.\nAnswer: -1136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 5*w**3\/3 + 3*w**2\/2 - 4*w. Let k(b) = 19*b + 6. Let o(s) = 11*f(s) - 6*k(s). Find the first derivative of o(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3863*o**2 + 8*o - 3851*o**2 - 405 + 723 + 1021 wrt o.\nAnswer: 24*o + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**3 - 13*u**2\/2 - u. Let b(f) = -3*f + 6. Let d be (49\/147)\/((-2)\/36). Determine d*s(a) - 13*b(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:50 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6176, -6292, -6412, -6542, -6688, -6856, -7052?\n\"Answer: -w**3 + 4*w**2 - 121*w - 6058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, e: 5, a: 1, p: 7}. Give prob of picking 1 p and 1 a.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q + 6 = -10*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 2 + 17. Calculate the remainder when -3*10*(-5)\/r is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1710 and 2406540?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (251*q + 122*q - 97*q)*(q + 10*q + 25*q).\nAnswer: 9936*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 2. Let w be i(0). Let m(x) = -x**2 + 5*x + 17. Let h be m(7). Solve -5*f = -p - 0*p - 27, -h*p + 4 = w*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*u + 9*u + u**2 + u**3 - 9 - 27*u - 1 + 1 + 2*u**3 + (7*u - 24*u - 4*u)*(u**2 + 2*u - 2*u) to the form t*u**3 + j*u + k + z*u**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7738 divided by 81?\nAnswer: 7738\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/50)\/((-9)\/(-135)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 59, 117, 199, 305, 435, 589?\n\"Answer: 12*b**2 - 2*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -79\/5, -70 in descending order.\nAnswer: 1, -79\/5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 142302 and 3552?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brbrrbrbbrbbb. Give prob of sequence bb.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 38.8, 2\/33, -0.4, -5, -33, -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5034?\nAnswer: 2, 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g - 23*g + 10 = 0, -3*g - 6 = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8049571\/330 - 24393. What is the common denominator of 71\/18 and o?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -12*l**2 + 7*l + 22*l**2 - 11*l**2. Let j be 1*(2 + 0 + 2). Is s(j) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66*(-2)\/40*-1*(-510)\/765\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2*i**1)\/(i**(-1\/6)\/(i*(i\/((i*i**(1\/11))\/i*i))\/i)))\/(i**(4\/7)\/((i\/(i\/(i*i**(-6)\/i))*i)\/i))**(2\/15) assuming i is positive.\nAnswer: i**(5081\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than -50284359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -10 + o + 52 - 2*o**2 + 3*o**3 - o**3 - o**3 + 0*o**3. Give l(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(12) + sqrt(12) + sqrt(48)\/sqrt(4)) + sqrt(3) + (sqrt(3) - sqrt(12)\/(4*sqrt(4))) + -1 + -3 + sqrt(3)*-2 + 3)**2*1.\nAnswer: -sqrt(3)\/6 + 49\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.304 to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*v, 0 = 3*q + 28*v - 30*v + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - -102?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107186, 214361, 321520, 428663?\nAnswer: 535790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011011000011110 (base 2) to base 3.\nAnswer: -21100210122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) 3 (b) -1\/8 (c) 0.6526 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 2 - l - 60200186*l**2 + 60197310*l**2 + 2.\nAnswer: -2876*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4200)\/276*(-65642)\/7135.\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4716 and 1974956?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (245134\/4)\/((-6)\/(-1320)). Let m = t - 20882370. What is m rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8492*w + 8499*w - 14 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r**2 - r. Let g be l(3). List the prime factors of 51\/7 - (-6)\/g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/3 + 0\/(-3). Let i be (-10)\/14 - -1*1. Let c = 310.4 - 310. Sort i, c, k in ascending order.\nAnswer: k, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 339712 and 20992.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1936 and 13966909.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-10) + (-1530)\/(-425). Sort -0.01, h, -0.4, 6 in ascending order.\nAnswer: -0.4, -0.01, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from iigigiiigi?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*o - 25 = 0, -o = -4*v + 11 + 34. Suppose v*g = 13*g - 1640. What is g rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 4 (c) -6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + 2022100113?\nAnswer: 2022100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*y = 58*y - 141640 - 56834. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 2 - 1 - (129 - (26 - -107))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 108882988 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.70000169 + 27.7. What is l rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -6*j. Suppose 0*f + f - 15 = j. Let y = 22 - f. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 145046 = 9*x - 15*x. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1070 = 34*i - 1206 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 0) + (-132)\/2. Suppose -3*h - 36 = 3*b - 4*b, 5*b = 15. Let l = h - p. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 145 - 71. Let r = q + -68. Let l be r + 2*(-12)\/8. Solve l*k + 1 + 1 = -4*j, -k = -5*j - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -3, 15, 90 in decreasing order.\nAnswer: 90, 15, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -11*k + 45 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55615*u**3 - 4*u**2 + u**2 - 30369*u**3 + 3*u**2.\nAnswer: -85984*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128 - (22 - 45 - -21 - (-1 + -5))) + 13.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -4345 - 4742. Suppose l + 821 = 5*y. Does 38 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 22. Let n = -36 - j. Let a = -146 - -104. Which is greater: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (426\/1775)\/(2\/(-5))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21866 - 21851. Solve 0 = y - 22 + 27, 5*m - h = -y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 50, 4, -1, 2 in ascending order.\nAnswer: -4, -1, 2, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 5 - 1 - 11 - (1 - 1455)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 715 divide 2616185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1841\/1315)\/((-1)\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -2*q + 0*q**2 - 2\/27*q**3 + 0 - 7\/54*q**4. Find h such that a(h) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnbnnnnnnnnnnnn. Give prob of sequence bn.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, r: 4, u: 5}. What is prob of picking 4 r?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -19*s**5 + 7*s**3 - 20*s**2 + 7*s. Let r(j) = 9*j**5 - 3*j**3 + 10*j**2 - 3*j. Let t(u) = -3*p(u) - 7*r(u). Find the third derivative of t(i) wrt i.\nAnswer: -360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 4*j + 6. Let d be l(5). Let p = 56 + -53. Which is the closest to -1? (a) 1\/3 (b) d (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 14, 172, 0 in decreasing order.\nAnswer: 172, 14, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14351 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1. Suppose -19*z - 8 = -27*z. Let k(v) = 2*v**2 + 9. What is z*k(h) - 6*g(h)?\nAnswer: 2*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 12:05 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 2:46 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001373 to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a + -8667?\nAnswer: -86a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p**2 + 2 - 107*p + 3*p**2 - 27*p)*(-p**3 + p**3 + 2*p**3) - 5*p**5 + 4*p**5 + 3*p**5 - 6*p**5 + 2*p**5 + 3*p**5 + (0*p + 2*p**5 + 0*p)*(-2 + 1 - 1).\nAnswer: 21*p**5 - 268*p**4 + 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -14*1 - (8 - 9). Let z = a - -52. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4\/5 (b) -5 (c) 34 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/12)\/(423*(-260)\/7488).\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*z - 40 = 0, u - 3*z = -0*u + 46. What is the remainder when u is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 1 - 3) + 2 - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1)*(-16 - -6 - -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9509, 5, -18, -5.2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000712034872 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1133\/5 or 226?\nAnswer: 1133\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 2*r + 2*r + 23 - 47 + 11.\nAnswer: r**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 49*o**2. Suppose -2*a - 1 - 1 = 0. Is i(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -26 (b) -1 (c) -4\/7 (d) 3\/4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.354 - -0.834. Let o = 0.012 + y. What is o rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t - 2. Let a be j(-1). Let y(i) = 6*i**2 - 2*i - 6. Does 24 divide y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67949\/(-571))\/((-56)\/48)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:52 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5 + 4*u + 7 - 29 + 7 + 6. Let n = 8 - 6. Let y(x) = -4*x + 5. Give n*y(d) + 3*k(d).\nAnswer: 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n + 5*n + 3*n)*((1 - 1 + 1)*(0 + 0 + 1) + 3 + 1 - 6) + n + 0 + 0 + 2*n + 5*n + 3*n to c*n + v and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Suppose 4*r + z + 3*z + 20 = s, -12 = 4*z. Let u = r - -22. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = 12*l + 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 49\/21)\/((-98)\/(-6)). Let r = 104\/147 + u. Which is smaller: -48 or r?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 402\/(-8)*112\/84. Are -58 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15)*q**(2\/51))**(8\/7) assuming q is positive.\nAnswer: q**(-872\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1172384921?\nAnswer: 7829, 149749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 164, 1.4, 1\/30?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-55)\/(13475\/(-3871))\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -231, -486, -837?\nAnswer: -1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8402865um to millimeters.\nAnswer: 0.0008402865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 169389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2, -12, 0.3, -23?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.03 and 234.428.\nAnswer: 234.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from {f: 2, i: 8, v: 8}?\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2660405 + -436?\nAnswer: 2657747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 17663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)\/(d**(-5)\/d*d))**(-3\/23) assuming d is positive.\nAnswer: d**(-33\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 127*t + 1958. What is i(37)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14591?\nAnswer: 14591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 7*m**3\/6 - 454*m - 5. Let u(v) = 5*v + v - v. Give u(p(j)).\nAnswer: 35*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8391, 8441, 8491, 8541, 8591, 8641?\nAnswer: 8691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 278289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2544?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -413, -414, -415?\n\"Answer: -w - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/43155 + (0 - 0). Let m = -60673410228761069\/115080 + 527228104168. Let a = s + m. Find the common denominator of 13\/10 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5176 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13\/118292 or -6\/91?\nAnswer: 13\/118292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -18*o - 0*o. Let r be -12*((-5)\/(-4) - 2). Determine h, given that h**4 + 6*h**4 + r*h**3 - 4*h**4 - 11*h**2 + o*h**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 68, 588, 1992, 4718, 9204?\nAnswer: 15888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 170 - 270 - (54 - 4)\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -433776*i*k*v**3 + i*k*v**2 + 25*i*v**2 - 17*i*v + v**3 wrt k.\nAnswer: -433776*i*v**3 + i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*1*1*-4)\/((-1*sqrt(77)*6)\/sqrt(11)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*y + 12*y + 3*y**2)*(y**2 - 6*y**2 + 6*y**2) - 52*y**4 + 16*y**4 + 18*y**4 as m*y**2 + a + q*y**3 + l*y + c*y**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*x - 101 + 157 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.03384087 rounded to 1 decimal place?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -621195 divided by -12?\nAnswer: 207065\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 15. Let u be p(6). Find the second derivative of -12*h - 210*h**3 + 57*h + 33*h + 160*h**u wrt h.\nAnswer: -300*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000285410712 to 7 dps.\nAnswer: -0.0000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -13*o**6\/120 - o**4\/6 - 208*o**2 + 2. Let x(l) = 39*l**3 + 13*l. Give -13*k(m) - 4*x(m).\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2936 + 2938. What is the nearest to 0.25 in 3\/8, q, 0.007?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 169.467088 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 43\/24 - 2 - 3\/24\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7966856 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: Suppose 5*b + x - 4159 = 2045, -2*b + 5*x + 2487 = 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 7*r**2 + 4*r - 8. Let t be w(7). Solve t = -5*x + 5*z, z = -z + 8 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/(-14) + 4\/(-14). Suppose -n = -z*b - 969996, n - 2*b - 3*b - 969990 = 0. Round n to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 46*b + 66*b + 433*b - 2 to the form s + a*b and give a.\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00211573 to four decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2088 = 15*t. What is the remainder when t is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.2 (c) -0.5 (d) 11\/5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5732\/9745 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -752*-78.\nAnswer: 58656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/18*60\/(-20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/6 + -1)*(-3080)\/4410.\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6622505.\nAnswer: 5, 23, 57587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 - -719. What is the smallest common multiple of x and 22?\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*i + 288 - 298 = 0, 4*f = -5*i - 26 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-3)\/36*-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2720083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.26 + 24.26. Sort -4, d, -126, 0.\nAnswer: -126, -4, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 401 by -63.\nAnswer: -401\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -186 + 185.7. What is the fourth biggest value in o, -4, -2\/5, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 0, -4*p - 28 = -4*c - 0*p. Calculate the remainder when c is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 8*a - 194. Let n be (-56)\/(-16) - (-9)\/(-6). Suppose n*v = -10, 4*s - s + 9 = -3*v. Calculate the smallest common multiple of s and h(26).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -951 + 6\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1688001 and 0.2.\nAnswer: -1688000.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from {b: 1, r: 3, o: 4, x: 4, p: 1, v: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/26, -0.1, -1\/6 in descending order.\nAnswer: -1\/26, -0.1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 2*n + 0*n - 53*n**2.\nAnswer: -53*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 62*i + 163. Put -0.2, i, 15\/7 in ascending order.\nAnswer: i, -0.2, 15\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 13*b - 27. Let h be i(9). Let n be (h\/18)\/(18\/(-16)). Put -4\/5, -0.1, n, -1\/2 in ascending order.\nAnswer: -4\/5, -1\/2, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4461753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2292*x**3 + 6*x + 2594*x**3 - 4224*x**3.\nAnswer: 662*x**3 + 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 14*l**2 + 14*l - 15. Let y be o(13). Is 4 - (y - -4) - -1101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13662655 and 35.\nAnswer: 95638585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 19456665?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hgoovohggogooggom. Give prob of sequence goh.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2355 divided by 157.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 0*q - 4 + 7\/2*q**4 + 0*q**3 - 9\/2*q**2. Find the second derivative of n(x) wrt x.\nAnswer: 84*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -11111?\nAnswer: 11021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11155 - 20534?\nAnswer: -32133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1981 - 1981 + 51*a + (0*a - 2*a + 0*a)*(-3 + 3 + 2) - a + 2*a + a to the form m*a + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6)*6\/4. Let p(q) = -q**3 + 2*q + 6. Let y be p(3). Let w = -18 - y. Sort 0, z, w in descending order.\nAnswer: z, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 8. Let l be u(9). Let v(z) = 3*z**3 - 2*z**2 + 1. Is v(l) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -3 (c) 0.5 (d) -15 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -384400 to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c**2 + 1 + 1 + 2*c**2. Suppose -z + 3*j = 12, -4*j + 14 = -2*z - 2. Give d(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143 divided by 4447.\nAnswer: -143\/4447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 + 0\/(2 - 4). Let v(c) = c - 6. Let a be v(t). Solve a*d = -0*d + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47315119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -9*v - 6. Let a(d) = 50*d - 2. What is k(a(x))?\nAnswer: -450*x + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 u when four letters picked without replacement from {a: 3, u: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6, -362, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177 + -172. Suppose r*k + 5*h - 15 = 0, -4*k - 12 = -3*h - h. Solve 12 = -4*g - k*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/288 and 29\/197492.\nAnswer: 14219424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39fd5 + -10?\nAnswer: -39fe5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-33)\/((-19404)\/(-56))*9\/6).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - (-52 + 36)) + (58 - (-11 + 24))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -17.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -130 - 1\/4*n**4 - 5*n**2 - 7\/3*n**3 + 0*n. Factor c(s).\nAnswer: -s*(s + 2)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n. Let q be (-4 + (-28)\/(-6))*18. Let w(f) = q*f - 8*f + 0*f. Calculate g(w(m)).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (3 - 3 - -2) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**2 - 13*f + 6. What is the tens digit of z(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 17*z**6\/15 - 5*z**2 + 36*z. What is the first derivative of s(x) wrt x?\nAnswer: 136*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/15 - ((-27)\/10 + 2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13517 + 27035\/2. What is the biggest value in -51\/8, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-8))\/((-2)\/(-124)). Let h = -2288 - -2283. Is 4 a factor of z + (h - (1 + -7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5808 = -1105*b - 17728 - 46645 for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -97 - 27 - (-251 + 3)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.37 in -4\/61, 1\/5, 2?\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10117, -1, 2 in descending order.\nAnswer: 10117, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1210110?\nAnswer: -1210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4932\/787 or -5?\nAnswer: -4932\/787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18948936 or -113693617\/6?\nAnswer: -113693617\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -34 + 25 + -35.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 3 = -30 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304907 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56438 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3873*d**3 + 3877*d**3 - 2*d**2 + 12*d**2 + 0*d**2.\nAnswer: 4*d**3 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21.15415 tonnes?\nAnswer: 21154150000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -130*f - 4. What is q(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616 + 165 = -11*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 + 13*a**2 - 8*a - 7. Let k be c(-7). Let n be (-16)\/6*4\/(-48). Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - 36 - (19 + (3 - 2))) + 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -160 - -172. Solve 3*v + b = 0, -2*h - 5*v - 32 = h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-54)\/6)*(-2)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 78\/10 - (1 - 3).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 779 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (52 - 44)*1*2. Solve -52 = -12*m - a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924\/111*(-6)\/(-2)*(-7)\/14?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 1\/4, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1302.5663 to zero dps.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*r - 1 - 3*r)*(31905*r - 748 - 740 + 1488 + 4965*r).\nAnswer: 36870*r**2 - 36870*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 56 - 59 - (-23 + 6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7965 = 241*v + 976 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 97, 103, 125, 175, 265, 407?\n\"Answer: 2*z**3 - 4*z**2 + 4*z + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 3 - 0) + 0. Let r(l) = -6 - l + l + 3*l + 3*l + l**o. Is r(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3440 + 5139. Let g = u - 51611\/6. What is the common denominator of 101\/40 and g?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4678545497 and 14?\nAnswer: 4678545511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -a47827 (base 13) to base 16\nAnswer: -3aa762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1039.00000208 + 1039. Round q to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 384668 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-8)*8088\/1685. Which is the closest to -4\/3? (a) -0.1 (b) w (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -188 (b) -0.3 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97831\/24972 + -2\/2081. What is the common denominator of g and (-1)\/(-3)*(-225)\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1219 - -1223.024. What is t rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - l + 1. Let a(i) = 7*i**2 - 21*i - 59. Let r(h) = a(h) + 3*m(h). What is the units digit of r(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4714167.51 to the nearest 10000.\nAnswer: 4710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28235\/5466 - -1\/911. What is the common denominator of u and 45\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/51)*((u*u**(12\/5)*u)\/u)\/u*(u\/(((u\/(((u*u**(2\/39))\/u)\/u))\/u)\/u))\/u*u*u**(-9) assuming u is positive.\nAnswer: u**(-18524\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1108 + 50?\nAnswer: -1048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f**2 + 51*f - 30. Let j(c) = 4*c**2 + 17*c - 10. Let b(d) = 17*j(d) - 6*r(d). Let a be b(8). Differentiate -17*y**4 + 3 + 2 - a - 2*y**4 wrt y.\nAnswer: -76*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10212123201 (base 4) to base 9.\nAnswer: -2237263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 371*c**2 - 1 - 376*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-nine fifths of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 486 and 0.14009792.\nAnswer: 486.14009792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of 0*j + 15\/4*j**4 - 2*j**3 + 1\/2*j**6 + 2 + 0*j**2 - 12\/5*j**5. Factor o(a).\nAnswer: 3*a**2*(a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 333\/1061 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/23)*j)**46\/(j**19\/(j\/((j\/j**(-5))\/j))) assuming j is positive.\nAnswer: j**73","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283651*n + 92088*n**3 + 283651*n.\nAnswer: 92088*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(sqrt(66) + -6*sqrt(66)*2 + sqrt(66)*2*-6))\/(6*sqrt(30)\/(-2*sqrt(45) + sqrt(5))).\nAnswer: -115*sqrt(11)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + 16. List the prime factors of y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 110 = -2*o, -2*s + 3*s - 118 = -2*o. Suppose -o = -2*k - 8. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 416\/9. Which is the third smallest value? (a) 4 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411727627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 74*j + 84 + 535 = -349 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 1 - 2. Solve 5*m - 10 = 2*s + 2, 2*m + p = -5*s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 72*k + 638. What is j(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-3) - -4)*-5. Suppose -5*y = 4*c - 17, -4*y + 9*y = 5*c - u. Suppose -24 = -p - 5*h + 3, 0 = 3*p - 5*h + 19. Sort p, y, 16 in decreasing order.\nAnswer: 16, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67007517 less than 326264?\nAnswer: 326264.67007517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508 - 45*h**3 + 508.\nAnswer: -45*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92574 or 92573?\nAnswer: 92574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 385 and 616?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130 - 126*v + 130 to r + x*v and give x.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -25. Suppose 0*a + 4*a = h. Let p be 3\/((2\/a)\/(3\/6)). Solve -3*u + p = -12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-32)*-4*-4. Let v be (q\/(-123))\/((-15)\/2034). Let n = -1\/205 - v. Find the common denominator of n and 19\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 55 = 35. Let p be ((-2)\/(-5))\/((-4)\/j). List the prime factors of (-730)\/(-8) - p\/(-4).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -69687\/8 + 2160313\/248. Let o = 5 - 7. What is the nearest to 0 in o, 2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**7\/21 - m**4\/6 - m + 1. Let k(d) be the first derivative of l(d). Find the third derivative of k(j) wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*2)\/(3\/(-18)). Let p be (-8)\/z + (-16)\/15. Let v = -39\/4 - -37\/4. What is the biggest value in -6, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 1. Let c(w) = -4*w**3 + w**2 + 2*w + 2. Let u(a) = c(a) - 2*v(a). Let m = -245 - -244. Does 5 divide u(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7786 - -7789. Let j = 5 + -11. Let z be 8\/j*3\/10. Which is the second smallest value? (a) z (b) -2\/13 (c) 4\/7 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0497994 - 5.0501846. Let n = k - -5.1. Round n to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -728, -2\/3, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 1 = 3. Suppose j*l + 0*l - 26 = 0. Let h(b) = -b + 47. Let u be h(-5). Calculate the greatest common factor of u and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06699949 - -0.067. Round a to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-10)*1020\/306\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 32. Let a be (4 + y\/(-5))\/(4\/30). Which is bigger: a or 36\/5?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 328\/((-2)\/(-5) + 40\/25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(55) + -1*sqrt(1375) + sqrt(1375) + sqrt(1375))\/sqrt(11).\nAnswer: -4 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1375 (base 11) to base 5.\nAnswer: 24101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 12*h + 285 - 125 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 42 = -5*m, 4*c - 21*m + 8 = -19*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 0 + 0 - 1 + 2*r + 1 + (4 - 1 - 5)*(-6*r + 3*r + 2*r) + 0*r + r + 0*r + (8 - r - 8)*(-3 + 3 + 2).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/7 + 203680*r**2\/7 + 29097*r.\nAnswer: r*(r + 1)*(r + 203679)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from wzzzzwzzzwz.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34933512*r**3 + 287*r**2 + 1089?\nAnswer: -209601072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.035 times -27\nAnswer: 0.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -15*y**2\/2 + y + 11. Let l be f(-1). Find the second derivative of l*w**2 - 9*w - 11*w - 9*w**2 - 34*w**2 wrt w.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-36)*1*(-2)\/5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 877600 to the nearest one thousand.\nAnswer: 878000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2426 - 0.1\nAnswer: 0.1426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -7. Suppose -4*x - c*p = 2, -3*p - 10 = -4*x + 2*x. Suppose -x*g + 11 + 41 = 0. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*z - 15 - 7, 4*k = 2*z + 36. Suppose 5*i - 5 = -k. Suppose -61*x + 65*x - 11 = -5*a, 0 = 3*x + 5*a - 12. Does i = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 2, -217750 in decreasing order.\nAnswer: 2, 1, -4, -217750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3031220 (base 6) in base 8?\nAnswer: -431434","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 9:55 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 0 - (-1 - 1). Let q(j) = -2*j**3 - 2*j**2 - 7*j - 13. Let d(o) = -o**3 - o**2 - 3*o - 6. Let b(u) = -9*d(u) + 4*q(u). Give b(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 - 26*s + 9. Calculate c(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 3*d**2 - 4*d - 3. Determine x(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -3122?\nAnswer: 3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5 - 60*b**4 - 1679*b**3 - 10146*b**2 - 8528*b = 0.\nAnswer: -13, -8, -1, 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 + 422655*s**3 + 845325*s**2 + 422665*s.\nAnswer: -5*s*(s - 84533)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000303148902 rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.79999859 - 6.8. What is u rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 2040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*r = 68, 8*d + 2*r = 3*d + 74. Suppose g - d = -3*g. Suppose -25*j + 56 = -18*j. Solve g*m - 12 = j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -9*q + 7 + 48. Calculate the least common multiple of 25 and q.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0*j**3 + 3*j + j**3 + 13*j**2 - 6*j + j - 13. Let h(g) = g**2 - 7*g - 1. Let o be h(3). Calculate the remainder when 32 is divided by m(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 + 4*d - 1. Let w(u) = 9*u**2 + 6*u - 1. Suppose 1695 = 5*r - b, 5*r = 5*b + 603 + 1112. Let n = r - 343. Give n*w(p) + 7*g(p).\nAnswer: -3*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 720 and 3168.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b - 1 + 5 - 72*b - 4 + 131*b.\nAnswer: 41*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (112\/10)\/(11\/(-55)) - (-61)\/((-1586)\/260)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 698*v - 29397. Determine q(-300).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s = 9*s - 35 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000456 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*1*sqrt(242)*6 + -3*(1 + sqrt(242) + 1))**2 + 2.\nAnswer: -1452*sqrt(2) + 263544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**2 - 4*w**2 + 12 + 1807*w**3 - w**2 - 1765*w**3 wrt w?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*n - 0*n. Let c be 0*n\/(2 - 1). Does 4\/5 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -2 - 49*k + 27\/2*k**4 + 25\/6*k**3 - 3\/2*k**2. Find the second derivative of l(w) wrt w.\nAnswer: 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -22*s + 5*s. Let u be 3 - 9 - (-20 + s). Solve -3*n + u = -3*l, 8*n + 19 = 5*n - 4*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.06, -0.51, -38, 5, -0.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = w - 4, -3*w - 4*t + 3*t = -23. Suppose 4*v + 0*v = w. Let m(u) = -u**3 + u**2 - u + 2. Give m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22 + -15.78. Let y = n - -16.1. Suppose 745 - 31 = 21*x. Which is greater: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 75 = 5*m, -5*m - 3*j - 100 = -j. Is -16 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - 16393\/299 - -1*5?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 76293 and -1209676688.\nAnswer: -1209600395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -558302, -558300, -558298, -558296?\n\"Answer: 2*i - 558304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1016155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2078495\/6 at most as big as -346415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333742 is divided by 39?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 27 - 2. Suppose -s - 16 = -g*s. What is the remainder when 4 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + 1 + (-87 - -96).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 20*r**2 + 3*r + 3. Let u(l) = 161*l**2 + 23*l + 23. What is -23*j(i) + 3*u(i)?\nAnswer: 23*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 minus -23.323?\nAnswer: -9.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66111 is divided by 1932?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -50178\/5 - -9920. Let d = -116 - y. What is the biggest value in d, -0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -29*i + 30*i. Calculate the lowest common multiple of i and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1419521486?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 1366 + 5*y**2 + 1734 - 4*y**2 + 0*y**2 + 917 in the form o*y + i*y**2 + s and give s.\nAnswer: 4017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113775 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 9. Let b be d(-7). Let l = b - -10. Let i = -2322 + 2326. What is the nearest to i in 0, -2\/7, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**3 - 4*h**2 - h + 4. Let l = -9 - 0. Let q(w) = 6*w**3 + 9*w**2 + 3*w - 9. Let d(u) = l*t(u) - 4*q(u). Find the second derivative of d(n) wrt n.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39750750, -39750746, -39750742?\n\"Answer: 4*n - 39750754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*z**5 - 995246*z**4 - 2*z**3 - 25*z**2 - 5271312*z wrt z.\nAnswer: -4140*z**2 - 23885904*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i**3 - i**3 - 16*i**2 - 16*i + 7 + 5 + 4. Let q(y) = 2*y**3 + 3*y**2 + 3*y - 3. Let b = 26 - 10. Determine b*q(t) + 3*k(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 893 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n - 52*n = -4*w + 814, w - 541 = -2*n. What is the highest common divisor of n and 3645?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 6*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(76) + 0)**2 + -5 + -2 + sqrt(19).\nAnswer: sqrt(19) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3674\/220*(-2 - 5\/(-3)). Let b = p - 1\/10. Is b bigger than 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52.1+181895\nAnswer: 181842.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrznrnyzyyyanynga. What is prob of picking 1 y, 1 r, and 1 a?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 1046*x = 1048*x - 11, -33 = -a - 4*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 823449 and -11291105.\nAnswer: -10467656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 144 (b) 5 (c) 6\/5 (d) 3 (e) 6\/1831\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 70bd2 + 5?\nAnswer: 70bd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 354 and 3009?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-17 - (-113 - (-25 + 1)))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -8 + (-4 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 1:49 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1425 = 5*b - 4455, -2*b = -3*f - 1205. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w + w - 3*w. Suppose -96 = 203*x - 217 - 82. Let a(i) = i**2 + i. Give x*q(b) - 2*a(b).\nAnswer: -2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooppoppoop. What is prob of picking 2 p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3788250 rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5501 or 5500?\nAnswer: 5500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 356376732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3822617514630 + 2?\nAnswer: -3822617514628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -175689.7787 to 0 dps.\nAnswer: -175690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.6 - -5.493. Let s = -793 + 793.106957. Let w = s + u. What is w rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -46*t**2 + 512*t - 3. Let w(d) = 240*d**2 - 2560*d + 16. Calculate 16*g(f) + 3*w(f).\nAnswer: -16*f**2 + 512*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c9 - -75?\nAnswer: 23e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 203 + -200. What is the greatest common factor of n and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/7 + 450*g**3\/7 + 782*g**2\/7 - 24930*g\/7 - 89200\/7 = 0. What is g?\nAnswer: -223, -5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1342 (c) -1\/6374\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 1\/207?\nAnswer: 1\/207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 795910.9 nanoseconds in seconds?\nAnswer: 0.0007959109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168576544?\nAnswer: 2, 5268017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:02 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 11.9906. Round o to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (10 + -5 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, a: 2, p: 2, o: 4, l: 4, f: 1}. What is prob of picking 2 p?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 + 4. Suppose 0*i - 3*i + 6 = 0. Let t = -14 - -8. Let r be -2*3\/t - 4. Let c(x) = -4*x**2 + x + 5. What is i*c(l) + r*w(l)?\nAnswer: l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.6 - -44. Let p = 10.8 + -2.3. Let f = 9 - p. Put 0.3, o, f in decreasing order.\nAnswer: f, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 635 + -703. Is i at most as big as -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 x, and 1 v when four letters picked without replacement from exrevr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -0.7. Let k = -75.4 + 5.4. Let y = k - -69.7. Which is the third biggest value? (a) y (b) t (c) 5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 16 = -8*j. Which is bigger: j or -0.6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23596863 - -23597063.99734. Let y = 201 - q. What is y rounded to 4 dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvppiip. Give prob of sequence pp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 285078376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 13*u - 11. What is q(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 5:59 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*u + 1960, -u + 3*q + 40 = -616. Suppose 281*n + u = 286*n. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4710474 divided by -29\nAnswer: 4710474\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*3)\/((sqrt(15)\/sqrt(5) - sqrt(3))*1 - sqrt(3)) + 0.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 r, and 1 p when three letters picked without replacement from {r: 1, p: 1, l: 3, g: 2, v: 3, b: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138 + 149. Suppose 8*p - d*p = p. Solve 2*t + p = 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 287 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, l: 8}. Give prob of sequence llll.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5610 and 15510?\nAnswer: 263670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - u**2 + u + 4. Let w be (0 + 0)\/(0 - 1). Calculate l(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*r + 2*g + 188, 5*g = -4*r + 212. Solve 50 = r*b + 308 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-6)*62\/403*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from {p: 1, o: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1009551837459 - -2?\nAnswer: -1009551837457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12814, -25658, -38502?\nAnswer: -51346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1699 - -1724.61. Round t to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 822875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2. Let i(o) = 0*o**2 + 6*o**2 + 0*o**2. Let n be (-3)\/6*-6 - (13 + -5). Let v(l) = n*h(l) + i(l). Let t(d) = 23*d. Give v(t(w)).\nAnswer: 529*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/4 + 215*y**3\/4 + 6805*y**2\/4 - 215*y\/4 - 1701 = 0.\nAnswer: -28, -1, 1, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.933177703 rounded to two dps?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k + 2. Let b(u) = -2*u + 27. What is b(r) + i(r)?\nAnswer: -3*r + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, h: 1, u: 1, n: 3, j: 4, w: 2}. What is prob of sequence neu?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/15*2556\/1704?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**2 - 3*i**2 + 0*i**2)*(1436*i - 653*i + 1592*i) + 2 + 7*i**3 - 2 to z*i**2 + x*i**3 + m*i + p and give x.\nAnswer: -7118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 26 = -3*p, p = -11*h + h - 130 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 26*v. Let w(r) = -226*r**2 + 4*r + 1. Give g(w(j)).\nAnswer: -5876*j**2 + 104*j + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 269 - 60. Let c(v) = 83*v**2 - 3*v + 2. Let g be c(2). Suppose a - x = r, -3*a - 2*r + 309 + g = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.9 times -3.1\nAnswer: -30.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1219\/570 + -40\/19. Let i(k) be the third derivative of 0*k**4 + 3*k**2 + 0*k**3 + 0 + 0*k - j*k**5. Let q(f) = f**2. Calculate i(q(b)).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 905*f + 2888 + 3*f**2 - 5*f**2 + 753*f.\nAnswer: 2*(f - 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 43*y**2 - 291*y + 150. Let o be a(-49). Solve -6*c + 7*c - 1 = o*l, 0 = 2*l - 5*c + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10 + 5 + 18*g - 120*g - 13 - 9*g wrt g?\nAnswer: -111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(144) + sqrt(144) + 3*-1*sqrt(16) + sqrt(16))\/((sqrt(1568)*-1)\/sqrt(4)).\nAnswer: 2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 339*p**5 - 208*p**5 - 164*p**5 - 13*p**4 + (3*p - 3*p + p**2)*(0*p**2 + 0*p**2 - p**3).\nAnswer: -34*p**5 - 13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*-3*(-4)\/(-32). Put -3, 5, i in ascending order.\nAnswer: -3, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7176, 14362, 21548, 28734, 35920, 43106?\nAnswer: 50292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1792314 = 31*l - 85*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160664779?\nAnswer: 11, 19, 127, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 + 8*r**2 - 208*r - 848. Determine b(-4).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t**2. Let w(g) be the first derivative of g**5\/60 - g**3 + 6. Let s(y) be the third derivative of w(y). Determine a(s(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -6. Suppose 4*x - 35 = -o, 3*o + x = l*o + 29. Calculate the remainder when o is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -31*w + 1. Let h = 645 - 1125. Let t = 479 + h. Determine a(t).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000246771 rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from wvgvfjvgjgjjj.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*s - 26, 8*s + 4*j = 4*s - 8. Let y = s - -12. What is the lowest common multiple of 14 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 58 + -1 + -16 + -3\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 338016 to the power of 1\/2, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24475 and 45?\nAnswer: 220275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25492 - 25495. What is the closest to 0 in 1\/4, 284.7, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1955\/36 (b) -1 (c) -2\/5 (d) -1.6 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 36 = -56*m + 26*m. Which is the closest to 1? (a) m (b) -24 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -6*(-119)\/189 + 2\/9 and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**2 - 54*z + 34. What is r(12)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3\/3 + 98690*m**2\/3 + 163766375*m + 14157825000.\nAnswer: 5*(m + 88)*(m + 9825)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iicicicdccccfcci. What is prob of picking 3 i?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 89. Let g be (-14)\/y - 48\/(-22). Suppose -g*i + 6 = -0, -2*b = -5*i - 59. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 9:13 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 13*w + 8. Calculate j(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4314339143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3)*(-q**2 - 3*q**2 + 2*q**2 + (2 + 2 - 6)*(-6*q**2 + 4*q**2 - 3*q**2)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4. What is the closest to g in -0.4, 4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + q**2 - 3*q - 3. Let i be u(-2). Let d be i + 12\/2 + 2. Suppose h + 2 = d. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - 6*k - 6*k + 3*k as m + z*k and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ollo when four letters picked without replacement from {z: 7, l: 4, p: 1, i: 1, o: 2, t: 3}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -202241927 + -0.4?\nAnswer: -202241927.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1 - 583 = 3*j, 3*j = -p - 578. Let t = j + 198. What is the least common multiple of t and 195?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) 11\/13 (c) 116 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011001000 + -1001101?\nAnswer: -110100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*a**2 - 5 + 2 + 1 - 374*a**2 + 0.\nAnswer: -212*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 + 93 + 90 + h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -251 * -0.4\nAnswer: 100.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 22 = -2. Let v = 125 + -117. Is v <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8*f - 2*b = -62, -f + 5*b = 38. Let u = -0.95 - 1.05. What is the smallest value in u, 2\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, h: 5, t: 4}. Give prob of picking 1 h and 1 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*s - 10 = -166*s. What is the tens digit of (-1802)\/(-5) - 2\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/26 and 29\/2194.\nAnswer: 28522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 3*g + g as l*g + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -702*s + 2112. What is b(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -4. Let p(s) = -s**3 + 6*s**2 - 8*s + 10. Let c be p(4). Let m be (-6)\/c + 147\/195. Put 2\/11, r, m in descending order.\nAnswer: r, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 882 - 874. Suppose -p = 3*l - 50, p + 70 = 5*l - 4*p. What is the smallest common multiple of l and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/(-10590))\/(208\/20). Let v = y + 50671\/587392. Calculate the common denominator of -49\/12 and v.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58 + -3c30?\nAnswer: -3ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -493\/198 - -161\/33. Suppose 4*n + w = 2541, w + 2556 = 4*n - 3*w. Let p = -1181\/2 + n. Find the common denominator of p and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 + 201\/12. Suppose 3 = -3*u, -4*r - 2*u + 47 = 3*u. Suppose -i*h = -r*h - 332. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*w - 27*w - 35 = 0. Suppose 6 - 1 = w*z. Solve -z - 5 = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 235577*y + 1648988. What is h(-7)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13\/(-18) + (-2)\/(-4). Let g = -19 + 19. Which is greater: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1412 (base 7) to base 4.\nAnswer: 20210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 13 + 7*t**3 + (-5 + 2 + 1)*(-1 + 1 + 2*t**3) + 6*t**3 + 14*t**3 + 20*t**3 + 5 + 6*t**3 - 5.\nAnswer: 49*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -712318800 by 4.\nAnswer: -178079700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 4*h + 2. Let x be b(-5). Let d = 2 - x. Let u(s) = -5*s**2 + 4 - 2*s + 3*s + 4*s**2 + 2*s. Give u(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 5*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -17*o + 14*o + 291, -4*v + 3*o = -1089. List the prime factors of v.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 <= 4592\/79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/5 (b) 1\/5 (c) 1 (d) 11347456\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/7506 and -43\/6255.\nAnswer: 37530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (775\/(-248))\/25 + 2 + (-73)\/(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*k**3 - 12*k**3 - 14*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:03 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001584155 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40473697 and -7.\nAnswer: -40473704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35\/3*m**2 + 646\/3*m + 1\/6*m**3 + 1156\/3.\nAnswer: (m + 2)*(m + 34)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 5*q + 6. Let f be x(4). Suppose 3*r + 2 = 4*r. Suppose -r = y + 3*m - 7, 5*y + f*m - 77 = 0. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 783402*d**3 + 2*d**2 - 1. Let c be u(1). Suppose c = -3*r - 7916597. Round r to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*l - a - 24 = -60*l, -5*l = -3*a + 28. Sort 41, -113, l, -1, -4 in decreasing order.\nAnswer: 41, -1, -4, l, -113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*a + 109534 = 2*a, 0 = -4*a - 20. Let b = -183153\/5 + z. Let u = b + 123. What is the third biggest value in 1, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5*j**2 - j**2 - 5 - j as b*j + l + o*j**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 9. Let c be -3 - (-10)\/4 - (-7)\/14. Determine h(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (76 - (-5777)\/318)*(-2)\/(-160) and (-173)\/(-28) - (-2)\/(-8).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-576)\/(-16))\/6)\/(-3*1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - l - 4. What is b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 4:25 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37126 (base 8) in base 9?\nAnswer: 23801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.154, -484\/7, 3, -6?\nAnswer: -484\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d + 10 = 24*d - 5*t, -4*d - 4*t + 4 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 37 = r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 301.234 - 312.234016. Let g = 11 + j. Round g to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a millennium in months?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 1\/40007?\nAnswer: 1\/40007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -338 - -410. Is 9\/j - ((-168604)\/32 - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/((-1375)\/(-22)) + 12\/(-2640)*-608.\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*h + 73*h + 59*h - 265*h + 81*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 331981083 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5496470928?\nAnswer: 2, 3, 13, 677, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 4, b: 8}. What is prob of picking 1 a and 2 g?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4215 - 32033?\nAnswer: -23414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59824 and 288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27710 + -27709.99987717. What is i rounded to six dps?\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**5\/20 - a**4\/2 - 5*a**3\/6 - 2*a**2 + 10*a. Let d be z(-4). Let t = d + 21. Solve 0*h + x = -h, 4*h - 36 = t*x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8 + 11 - 2*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 13) to base 11\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193 + 121. Let u be 4\/18 + 232\/y. Let f(g) = g**2 + 3*g - 4. Let r be f(-3). Sort -5, r, u in descending order.\nAnswer: u, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, p: 1, q: 8, a: 1, g: 6}. What is prob of picking 1 p and 1 a?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 121*x**2 - 370*x + 1888. Give h(118).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1531, 11854, 39893, 94510, 184567, 318926, 506449?\n\"Answer: 1477*n**3 - 4*n**2 - 4*n + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67857.021 rounded to the nearest 100?\nAnswer: 67900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-64)\/(-8) - 11) + 936 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 42. Let p be (-16)\/w*3*8\/6. What is the greatest common factor of 18 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/((w*w\/(w*w*w\/(w*(w**20\/w)\/w)*w))\/w*w*w)*w**22*w*w**(17\/2)*w**(12\/5)\/w*w*w assuming w is positive.\nAnswer: w**(189\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19299197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(2) + (sqrt(200) - 3*sqrt(200) - sqrt(200)) + sqrt(2))**2 - (2*-5*-1*sqrt(72))**2.\nAnswer: -4750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 159.1154 and 2.58444.\nAnswer: 161.69984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 e when four letters picked without replacement from eciiccceiici.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -8 + -6 - 30 - -8\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 277834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113586?\nAnswer: 2, 3, 11, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 0.110599 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 1852?\nAnswer: -77\/1852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s**(-14)*s*s*s))\/(s*s**(-5)) assuming s is positive.\nAnswer: s**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 10 = 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8957822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*t**2 + 2*t + 0*t**4 - t - 3*t**4 to the form l*t**2 + d + x*t + r*t**4 + a*t**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 165914967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0445 + -34.0445. Put u, 0.3, -2 in decreasing order.\nAnswer: 0.3, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8172*a + 4994*a + 3189*a.\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*j**3 + 91*j**3 - 189*j**3.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/92 and 12\/1771.\nAnswer: 7084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*u - 501*u + 240*u = s + 10, -14*s = 70 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 15, 0.2, 0.1, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 0.5 (c) 6\/7 (d) -3 (e) 1\/273\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzazazazaaifaae. Give prob of picking 1 a, 1 i, and 1 z.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, e: 2}. What is prob of sequence evvv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(180) + 1 - sqrt(180)) + 5)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14577*w**3 + 4*w**2 + 0*w**2 - 4*w**2.\nAnswer: -14577*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.78408 + -249.85128. Let d = y + 248. What is d rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnqqnknqnnn. What is prob of sequence nnn?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t - 9. Let g(w) = 7*w + 14. Let y(p) = 5*g(p) + 8*i(p). What is the smallest common multiple of 10 and y(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3262 or -3263?\nAnswer: -3262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/25)\/(12\/9530). Let t = g + -315. Find the common denominator of t and 31\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12170796 and 3036?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffwffffwefwffwfffw. What is prob of picking 3 e and 1 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -15. Let p = a + -3. Let k = -2.9999997 - p. Round k to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82210 divided by -10.\nAnswer: -8221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/5220 and -29\/158364.\nAnswer: 22962780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (150737\/(-1228) - -122)\/((-18)\/(-56)*-3)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 449 - 649 = 13*o + 854 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.1221 + 0.0221. Which is the second biggest value? (a) q (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 12, g: 2, s: 3}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3880, -3846, -3790, -3712, -3612, -3490, -3346?\nAnswer: -3180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 58. Which is the biggest value? (a) u (b) -0.1 (c) 5\/6 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6524705 (base 8) to base 6.\nAnswer: 101241445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**5\/10 + 55*k**4\/12 + 29*k**3\/6 - 33*k**2\/2 - 3812*k. Give i(28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.449 + 2.5. Round s to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 z, and 1 d when three letters picked without replacement from {v: 3, z: 2, d: 10}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, 26, 81, 136, 191, 246?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8878006 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 12:39 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, d: 2, g: 1, r: 3, x: 3, a: 2}. What is prob of picking 1 a and 2 r?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1161 in 7, -4, -0.7, 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2430)\/360*4\/(-3). What is the greatest common factor of k and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6776356*t**4*u - 2*t**2*u + t**2 + 3*t*u - 12*t - 86 wrt t?\nAnswer: 162632544*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1636 - 5104406?\nAnswer: -5102550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/5 + (-1 - -3). Let r(v) = v**3 - 14*v**2 + 36*v - 500. Let s be r(14). Sort k, s, 3, 1 in decreasing order.\nAnswer: s, 3, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102 - -111210?\nAnswer: 120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 - 77 + 3*n - 85 + 150 + 4*n - 2*n as l*n**3 + f*n**4 + c*n**2 + w + v*n and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/49402652 and -33\/16.\nAnswer: 197610608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 991671 to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 10*o + 11. Give q(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*o + 11 = 0, -v = 2*o - 655 + 652 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/11 and -61\/2110563.\nAnswer: 23216193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 5\/2, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53\/6 - -49\/6. Let k = 477 - 478. What is the nearest to k in g, -1, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1 (c) 371 (d) 0.2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 2a9?\nAnswer: 2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 452222 - 0?\nAnswer: 452222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, 5.\nAnswer: -13, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42791\/9340 + -32\/467. Calculate the common denominator of u and -1 + 0 + 15\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4\/7)\/(m*(m\/(m**(1\/3)\/m*m))\/m)*(m\/m**(-1))**(-3\/4)*(m*m*m**(-5\/3)*m*m*m\/m**(-2\/5))**(-25) assuming m is positive.\nAnswer: m**(-1345\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*s + 148*s - 65*s to o + a*s and give a.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22028 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - 24. Let x = i - -190. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**8\/20160 - k**7\/560 - k**6\/144 - 7*k**5\/60 + 15*k**2. Let a(g) be the third derivative of w(g). What is a(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 6058?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42321 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 14 = 6*x. Suppose c - x + 2 = 0. Suppose -5*q**5 - 3*q**2 + 3*q**4 + q**2 + c*q**4 - q**3 = 0. What is q?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147 - -147.2. What is the second smallest value in -0.2, r, -0.4, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38148 by 6.\nAnswer: -6358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28, -21, -4, 29, 84?\n\"Answer: g**3 - g**2 + 3*g - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 152 = -112. Solve 0 = 5*s - i, -2*h + s = -3*s + 26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001809 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3838 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**5 - 44*o**4 - 692*o**3 + 1564*o**2 + 688*o - 1520 = 0.\nAnswer: -10, -1, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*(-5 + -1*sqrt(2299))*-5)**2)*-6 + 4.\nAnswer: -1394420 - 66000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j. Let g(x) = -4 - 3 + 7*x + j. Let u(c) = 209*c - 77. Let w(p) = -16*p + 6. Let y(l) = -5*u(l) - 66*w(l). Give 8*g(z) - 5*y(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*k - 5*x, 2*x + 4 = -2. Suppose 0 = 2*m + 5*a + 13, -2*a + 14 = -4*m - 0*a. Let c(z) = -6*z - 3. Let p(b) = 7*b + 4. What is k*c(l) + m*p(l)?\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/4380 and 97\/300?\nAnswer: 21900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20157 + 34607. List the prime factors of c.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-6)*0)\/(-2 + 0). Sort d, 1, -2 in descending order.\nAnswer: 1, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -840*y**4 - y**2 - 10517 wrt y?\nAnswer: -3360*y**3 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*w - 10 = 14, -4 = 2*k - 5*w. Find the first derivative of 13*y**3 - k - 29*y**3 - 24*y**3 - 14*y**3 wrt y.\nAnswer: -162*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -15*p**3 - 227*p**2 + 618*p + 9717. Calculate l(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05920404 rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -15*d**3 - 73*d**2 - 230*d - 148. Let b(s) = 3*s**3 - 2*s**2 + 2*s + 1. Let y(o) = -4*b(o) - k(o). Find w such that y(w) = 0.\nAnswer: -24, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.060345 millilitres?\nAnswer: 0.004060345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6774 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.5, -8, -18, -4, 1\/3, -67 in decreasing order.\nAnswer: 6, 0.5, 1\/3, -4, -8, -18, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 11*i - 9. Let h be (-22)\/(-3) + 10\/15. What is the remainder when u(h) is divided by (-2)\/8 - 33\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide (((-56)\/21)\/(-4))\/((-26)\/(-247299))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 173985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -7756.23?\nAnswer: -6980.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-699 + 685)\/(77\/2).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/419 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w - 3*w)*(-5*w + 4*w + 5*w - 18*w - 8*w + 0*w + (3 - 3 - w)*(-3 - 1 + 5)).\nAnswer: 92*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188 by 54.\nAnswer: 94\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1383*y + 1 + 6079*y - 1 in the form c + d*y and give d.\nAnswer: 4696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -718 and -0.63.\nAnswer: 452.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 3483*t - 52. Let x(l) = -l**2 - 18. Determine -u(m) + 3*x(m).\nAnswer: -2*m**2 - 3483*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6578036.\nAnswer: 2, 139, 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*q*y**3 - 60*q*y**2 + 1897*q*y + 2*q + y**3 - 6799*y**2 + 27*y - 27 wrt y.\nAnswer: -72*q*y - 120*q + 6*y - 13598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o. Let k be 2\/11 + (-120)\/(-66). Let u(t) = 0*t - k*t + 3*t. Determine u(g(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-24)*(-10665)\/156. Let c = b - -15\/208. Calculate the common denominator of 51\/4 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in -4\/23, -7, 2\/105, -1\/4?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) 266\/13 (c) -2\/35 (d) -102 (e) 5 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 9:46 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*((-440)\/(-108) - 4). Which is bigger: s or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.46907418 to 2 dps.\nAnswer: 2.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**2 + 570*q - 575 = 0. Calculate q.\nAnswer: -115, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21633*g*r**3 + 7751*g*r**2 - 2*g + 2*r**2 - 2*r wrt r.\nAnswer: -129798*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87888762 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - 2 + 2 + (767*v - 34*v - 58*v)*(-4*v**2 + 4*v**2 - 4*v**3).\nAnswer: -2698*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32958 + 34098. Which is bigger: n or 4\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 358 - 353. Suppose -5*r + 3*z = 60, 3*z = -i*r + 6*r + 24. Let q(s) = -6 - 2 - s - 3 + 0*s. What is q(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 235 + -221. Calculate the least common multiple of b and 1252.\nAnswer: 8764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/17 - 29\/51. Let q be 6\/(-10) - (-992)\/2170. Which is the nearest to -1? (a) -6 (b) q (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1406*h**3 - 1395*h**3 + 2985*h**3.\nAnswer: 184*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1912 divided by -3\nAnswer: -1912\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/4)\/y*y*(y\/(y**35*y))\/y*y assuming y is positive.\nAnswer: y**(-137\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of 58*l**7\/105 + 1027*l**3\/3 - 6*l**2 + 110. Differentiate a(d) wrt d.\nAnswer: 464*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**2 - 123*b + 251 wrt b?\nAnswer: -2*b - 123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - (20 + -42)) + 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*m - 273*m**2 - 13*m + 290*m**2 wrt m?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015477938 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203496809.\nAnswer: 89, 2286481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 29*j + 147. Does 10 divide p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*k, 0*s + k - 232 = -5*s. Suppose -2*u + 0*u + 32 = 0. Calculate the remainder when s is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3560*j + 6526*j - 2963*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*(4*(sqrt(468)*-2 + sqrt(468)) + sqrt(468))\/sqrt(9))\/((sqrt(4) - (sqrt(576)*1 + sqrt(576) + sqrt(576)) - sqrt(16)\/(sqrt(16)\/sqrt(4)))*1))**2.\nAnswer: 52\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, 42, 20.\nAnswer: -14, 2, 20, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - -1.19. Let o = 8.7 + -9.2. Which is the third smallest value? (a) k (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1. Let f be (6\/9)\/((-4)\/18). Let q(t) = 11*t + 5. Let x(v) = f*q(v) + 12*u(v). Is x(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -328 + 231. Let w = c - -121. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-4*h**2 + 5*h**2 + 2*h**2 + 2).\nAnswer: 6*h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(2\/(-92)*2))\/1)\/1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65957 to the power of 1\/2, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(360) + sqrt(360))*-4)\/((sqrt(72)*-2)\/sqrt(9)) + ((0 + sqrt(180) + 0)**2 + sqrt(180) - (1*sqrt(180))**2*3))*-2.\nAnswer: -36*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 57, 170, 381, 720?\nAnswer: 1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*y - 268*y = -4*i + 29, 0 = 3*y + 5*i - 32. Let f = 3 - 8. Which is the nearest to y? (a) f (b) 1\/4 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - 2) + 7 + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdgg when four letters picked without replacement from {g: 7, d: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 5*x + 1. Let r(d) = 3*d**2 - 16*d - 4. What is the smallest common multiple of r(6) and l(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 228 - 217. Let k(z) = 11*z**2 + 5*z + 13. Let n be k(4). Calculate the highest common factor of n and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/3 + 2 + 2. Let m(v) = -18*v - 41. Let h be m(-3). Suppose 0 = h*s + 19 - 6. What is the third smallest value in r, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 23. Let r(m) = -4*m + 44. What is the lowest common multiple of 20 and r(x)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l + 25*l - 22*l - 26*l + 2619*l**2.\nAnswer: 2619*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (620 - 620 + 572*p)*(4*p**2 + 4*p**3 - 6 - 5*p**3 + 8) to the form z*p + a*p**3 + m + h*p**2 + u*p**4 and give a.\nAnswer: 2288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 803*1*(3\/4)\/(9669\/(-2344))?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 608.\nAnswer: -5, 2, 608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**4 - 2052*y**3 - 69100*y**2 - 358764*y - 510120 = 0 for y.\nAnswer: -26, -3, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrje. Give prob of sequence rj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1804 and 4285?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -v + 10, 0*v = n + 5*v - 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 47.4537525 and 64.\nAnswer: 111.4537525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 5*z**2 + 2 + z**3 - 7*z + 14*z**2. Let t be b(-6). Let y = t + -34. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04487 + -0.25513. Let j = 2 - 2.2. Let i = 0 + j. What is the closest to i in 0, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846.2742395 rounded to 2 decimal places?\nAnswer: 846.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1. Let s(r) = r - 11. Let v(a) = 4*m(a) - s(a). What is v(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 3 = 11*s, -16457*h = 3*s - 16452*h - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1338, -1304, -1254, -1194, -1130, -1068, -1014, -974?\n\"Answer: -y**3 + 14*y**2 - y - 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -596 - -588. Let x(q) = q**3 + 7*q**2 - 8*q - 3. Suppose 8*y - 3*y = -40. Let g be x(y). What is the nearest to -1 in -3\/7, g, l?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 5 - 3 - (1 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 1 = -3*k, -3*s = -k + 8 - 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177973617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/2*(-8)\/((-8)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -228\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 13 = 4*z, -z + 42 = -2*a + 3*z. Let w = a - -18. Let c = 2 + w. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 e when three letters picked without replacement from uggujujrgrrgaggueuge.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 1\/24*m**4 - 1\/40*m**5 + 6*m**2 - 1\/840*m**7 + 0*m - 1\/24*m**3 + 0 + 1\/120*m**6. Factor v(b).\nAnswer: -(b - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -20 - (10 + -18 - -18 - 19)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 - 1 - 2*x**2 + 2*x**2 + 2*x**2 + 94*x**3 + 61*x**3 wrt x?\nAnswer: 930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76590.\nAnswer: 2, 3, 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of (-1311)\/76*(-1400)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256 = 68*f - 100*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108315037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17079691559299 from 5.8.\nAnswer: 17079691559304.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w + 18*w - 87 + 519 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m = -7*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 64. Let y be a(-20). Let j = -77 - -385. Calculate the highest common factor of y and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/42 and (-49 + 39)*10\/44*4\/70.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/269 in -1\/3, 4, 3\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 55364 rounded to the nearest one hundred?\nAnswer: 55400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3871\/170 - 552\/17. Calculate the common denominator of 29\/26 and t.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 2 (c) -117 (d) 1\/8 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 (base 4) in base 7?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1549*y**2 - 2611*y**2 + 1488*y**2 + 2386*y**4 - 686*y**2 - 1522*y**2 wrt y.\nAnswer: 57264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -353439, 7.\nAnswer: -353439, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 3*h**2 + 10*h.\nAnswer: -h*(h - 5)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2243, -9700, -22129, -39530, -61903?\nAnswer: -89248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 39. Suppose -o - 5*t + 177 = h, -2*t = o - t - 169. Suppose -2*v + v = 4*q - o, -47 = -q + 5*v. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145016?\nAnswer: 2, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44 - -3)*(8 + -1 - 2). Let v = -193 - n. What is the highest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4 (b) 0.1 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 5*g**3\/3 + 890*g**2\/3 - 905*g\/3 - 1790\/3 = 0.\nAnswer: -179, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) -4 (c) -5 (d) -1 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41.7 + 42. What is the fourth smallest value in -2\/9, j, -0.2, 2\/15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -637.3 or 6\/19?\nAnswer: -637.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*m - 28 + 26, -4*m + 4 = -2*f. Which is smaller: m or -1\/938?\nAnswer: -1\/938","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = -8. Let x(y) = -2*y + 128*y**3 + y - 127*y**3. Let o(k) = 4*k**3 - 7*k. Suppose d = 2 - 3. What is d*o(r) + f*x(r)?\nAnswer: 2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 192212947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273*r - 4948 - 5014 = -2591 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 0*c + 5277 + 12*c**2 + 3*c - 5277 + 0*c. Let n(u) = u. What is l(n(t))?\nAnswer: 12*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1615\/4, 0, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.611 + 560.389. Let w = -1300.094 - -1860.825. Let t = w - b. What is t rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 463.792 hours to milliseconds.\nAnswer: 1669651200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*z**3 + 2*z**2 + 0 + 0 - z**3 in the form r*z + s + j*z**2 + n*z**3 and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-11)\/55*28\/91\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 p when three letters picked without replacement from ooogootpogogotog.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -22*g + 146. Determine j(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 315504?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6631 is divided by 5858.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 13 = -6*r - 4*x, x + 5 = 2*r. Solve 0*m**3 + 12*m**r - 14*m**3 + 8*m = 0 for m.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/5 - (-22)\/80. Let f = 2471.9 + -2472. What is the smallest value in -8, y, f?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + sqrt(110) + (sqrt(110) + (sqrt(110)*-3 - sqrt(110)))*-3)) + sqrt(110))\/((1*sqrt(100))\/sqrt(10))*5.\nAnswer: -45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1713958?\nAnswer: 2, 29, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1092 and 50119888?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/10)\/w*w**6*w)**(-23) assuming w is positive.\nAnswer: w**(-1449\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -0.1 (c) -1316 (d) -30\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(156 + 105 - 260 + 182*z + (0*z - z - z)*(0 + 2 - 3) - 2*z + 2*z + z - 5*z + 0*z + 3*z).\nAnswer: 183*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - -1205408?\nAnswer: 1205387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from xoaqoxpqaeopoq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 418132*c + 27950. Let w(b) = 1121*b + 75. Calculate 3*i(f) - 1118*w(f).\nAnswer: 1118*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6077 = -93*m + 34*m. Suppose 0 = 4*c - 116 - 640. Let z = c + m. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 3254 + 2*d + 3021 to g + x*d and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(891)*-4 + sqrt(891) - sqrt(891))**2.\nAnswer: 57021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29947.01nm in kilometers?\nAnswer: 0.00000002994701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41*-693042\nAnswer: 28414722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/380682436?\nAnswer: 1\/380682436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2. Let j = -8 - -9. Let g be c(j). What is the third derivative of 37 - 37 + 5*o**3 + 3*o**g wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30*31\/341*6\/15?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1.35\nAnswer: -6.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (3 + -9)) + 4 + -8\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 5*t**2 - 4*t. Let y(o) = -4*o**2 + 3*o. Let q(s) = -3*h(s) - 4*y(s). Let a(c) = -49*c. Determine q(a(i)).\nAnswer: 2401*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -509 >= -509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gii when three letters picked without replacement from {i: 2, p: 4, g: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -10. Let x be (-18 + 6 + -3)*(-3)\/9. Suppose x*t - 62 = 48. What is the smallest common multiple of t and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 + 2 + 6 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2416.1553 hours to days.\nAnswer: 100.6731375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -v + 353, -y = v - 116 - 227. Suppose 68*r = -v - 131. Let j = -3 + -7. Is r at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1578, -2, 606, 4, -3, 0 in decreasing order.\nAnswer: 1578, 606, 4, 3, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -299\/72 or 0.0339?\nAnswer: 0.0339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086089222 rounded to five decimal places?\nAnswer: 0.08609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 3\/7, -0.1, 0, 4660.\nAnswer: -0.1, 0, 2\/15, 3\/7, 4660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 1044\/457813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2410*c*v**3 - 61*c*v**2 - 32*c + 2*v**6 + 2 wrt v?\nAnswer: 14460*c + 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -25*z - 89 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550485.6 milligrams to grams.\nAnswer: 550.4856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(9)\/(-6*sqrt(27)).\nAnswer: -sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29454 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*t**3\/13 - 594*t**2\/13 + 360*t\/13.\nAnswer: -2*t*(t + 60)*(5*t - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/25*(2 + 1*8). Suppose -o = -4*n + 24, 23 = 4*n + 3*o - 17. Solve -3*a = -n*a - p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1050 and 525?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114366552?\nAnswer: 2, 3, 643, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9a3 - 0?\nAnswer: 9a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -9*p. Let j = -11 - -15. Let c be (j - 4)*(-1 + 2). Solve c = -p*z - z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (46\/4)\/(5\/(-10)). Let o = x - -32. Solve 21 + o = -5*l - 2*n, -l + 4*n + 16 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x - 1. Let m be r(3). Put -1, 2, 11, m in increasing order.\nAnswer: -1, 2, m, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(88)\/sqrt(2) - (0 + sqrt(11) - sqrt(11))*6.\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 4*b + 1, -98*d + 3*b - 36 = -87*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -51*k + 1 - 2*k**2 + 4*k**2 + 45*k. Let m(c) = -c + 1. Suppose 4*o - 9*o + 5 = 0. Give o*r(l) - 4*m(l).\nAnswer: 2*l**2 - 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*b = 935 - 59, -3*y + 662 = 4*b. Suppose -y = -4*w - 2. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-159)\/(-15) + (-3 - (-85)\/25). Calculate the highest common divisor of 1584 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/2)\/((-3276)\/(-936))?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4258698 to the nearest integer?\nAnswer: 2064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162288 by 7728.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdjzdjdzmdemzdmzjjjz. Give prob of picking 1 d, 1 e, and 2 m.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**5\/20 + x**4\/12 + x**3\/6 + x. Let s(t) = 172*t - 1 + 3*t**3 - 88*t - 80*t + 2 + 3*t**2. Calculate -3*h(z) + s(z).\nAnswer: 6*z**3 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181, -679, -1505, -2665, -4165, -6011?\nAnswer: -8209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -472 or -471?\nAnswer: -472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 144102015 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.12 + 0.16. Let a = -356 + 353. What is the third biggest value in a, -1\/3, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -19*l - 5. Let n(j) = 15*j + 4. Let g(b) = 4*a(b) + 5*n(b). Let q(r) = 2*r + 15. Determine g(q(c)).\nAnswer: -2*c - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 164540197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = -4. Let r = 1096 + -1095. Which is the closest to s? (a) 6 (b) 1\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 84, 96, 100, 90, 60, 4, -84, -210?\n\"Answer: -a**3 + 2*a**2 + 13*a + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*f - 45 = -407*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68 + -11611776?\nAnswer: -11611855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -22113 divided by -2457?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2*0)\/(10\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*w + 56591 = 0, 32*n - 28*n - 5*w = 56593. What are the prime factors of n?\nAnswer: 7, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5261 - -7271. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/((-7)\/12) + 0. Let c be -8 - k - 8\/3. Factor -7\/3*r**3 - 2\/3*r**2 + 0 + 1\/3*r - c*r**4.\nAnswer: -r*(r + 1)**2*(4*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 236530.1mg?\nAnswer: 0.0002365301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -3 - (-2 + (-14)\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 8*r - 6. Suppose 4*o + 1 = -c + 3, 3*c - 4*o - 22 = 0. Determine z(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*d + d. Suppose -20*r - 48 = -36*r. Calculate the greatest common factor of d and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 636, 39, -5.\nAnswer: -5, 0, 3, 39, 636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 41272, 41276, 41280?\n\"Answer: 4*y + 41268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23292 + -23276. Let b(r) = 7*r - 117. Calculate b(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2416636 + 10203?\nAnswer: -2406433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 74\/6 + (-6)\/18. Let b(h) = 2*h - 25. Let w be b(u). Which is smaller: -1\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/4*(-2)\/(-10). What is the nearest to h in 3, 1\/5, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/9*-3*(-1701)\/486?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/968, 0, -1\/3, -2\/11?\nAnswer: 5\/968","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -575 - -576. Put u, 0.1, -194 in descending order.\nAnswer: u, 0.1, -194","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1339 - 3175 = -306*p. Let w(v) = 2*v + v - 4 + 1. What is w(p)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-7) - (-12)\/(-42). Suppose 2*l - p + j - 12 = 0, 0 = 2*l + 5*p + 19. Solve o = l*o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27915 + -27896.409. What is t rounded to one dp?\nAnswer: 18.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1348217, -1348253, -1348289, -1348325, -1348361?\nAnswer: -1348397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/56)\/((110\/(-70))\/(-11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 68 = 78 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1343002003 (base 5) in base 12?\nAnswer: -1200698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13347830869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35.1 and -1?\nAnswer: -35.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + r - 6. Determine i(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 101093 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/10)\/((12\/(-63))\/(860\/(-602))).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 8:08 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**1*n*n**(-2))**(-19) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48.2 - -48. Let n = 13 - 27. Let v = 12 + n. Which is the nearest to d? (a) -0.4 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 720534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.33, 1\/5, 5?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566190?\nAnswer: 2, 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/17, -153, -3 in descending order.\nAnswer: -4\/17, -3, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3389 + -3092. Calculate the remainder when 594 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -5*j + 2*t - 3, -5*j - 3*t = 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 17823 = 2*d + d, 5*w + 3*d - 29701 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c**3 + 1795*c**2\/2 + 1335*c\/2 = 0. What is c?\nAnswer: -89, -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 21. Let r be c(-5). What is the highest common divisor of r and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/(b\/b**3*b))\/((b\/((b\/b**(-2\/7))\/b))\/b**(-1)))**(-3\/10) assuming b is positive.\nAnswer: b**(3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 484021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 - 0.3. Let v = 0.099992 - m. Round v to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + f - 34413 = -4*c, 0 = 5*f - 35. Is 8598 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117245 (base 9) to base 8.\nAnswer: 212404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1564 and (-21)\/(-306)*50 - (13 + -5 + -6).\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111 + 111 + 10*t**2)*(86*t**2 - 2177 + 2177).\nAnswer: 860*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from aotobooostoowtotottt.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 339968179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 58039 - 147*u - 58039. Let w(r) = -5*r. Give j(w(k)).\nAnswer: 735*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(202*i**2 + 179*i**2 - 353*i**2) + (1 - 1 + 3)*(0*i**2 - i**2 + 2*i**2).\nAnswer: -53*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23232 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 9:31 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 134\/6795 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 2 - 2. Suppose -x - 4*m + 1 = 0, -1 = -x - y*m - m. Let k be -4 - (-78076)\/20 - x\/(-5). What is k rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142 and 426?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 286 - 5?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2323 is divided by 426?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7006?\nAnswer: 2, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -891424, -3565677, -8022768, -14262697, -22285464, -32091069?\n\"Answer: -891419*c**2 + 4*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 4432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*u = -5*v - 148*u - 23, 0 = 2*v + 7*u + 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10819 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 0.4, -0.5, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 55. What is the least common multiple of 12 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(0 + 4)*-2*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000049801449 rounded to 7 decimal places?\nAnswer: 0.0000498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 2:12 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 3)*5)**2.\nAnswer: 900*sqrt(3) + 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -308714*m**2 + 30*m + 146?\nAnswer: -617428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -31*d + 25*d. Solve d*h + 5 = -0*h + m, 13 = -4*h + 5*m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16236772 a multiple of 595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010 (base 5) to base 10.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a - 16*a - 3*a**3 - 16*a.\nAnswer: -3*a**3 - 20*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2736) + 1) + 2 + -3 + -2)**2.\nAnswer: 1296*sqrt(19) + 98577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640*u + 640*u - 2 - 16*u**2.\nAnswer: -16*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(((-2)\/(-9))\/(6\/(-54)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 0 - 46*l**2 + 0*l - 4\/5*l**5 + 0*l**4 + 0*l**3. Let f(s) = -2*s. Determine f(n(z)).\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3134433003 + -1?\nAnswer: 3134433002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p**3 + 39*p**2 + 276*p - 13. Calculate g(18).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -350*l + 2042. Give w(5).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -3, 3 in ascending order.\nAnswer: -5, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5990 - -8)*((-22)\/12 - (-32)\/24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 367*m - 190*m - 68 - 198*m wrt m.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 39 - 6. Let z = 77 - 66. What is the smallest common multiple of c and z?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203387 is divided by 1065?\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630 = -65*a + 23*a + 126 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(192)*-5)\/((sqrt(10) - -1*sqrt(20)\/sqrt(2)) + sqrt(70)\/(sqrt(7) - sqrt(7)*-1)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*m - 3, 3*m + 6 = -0. Let x = -131 - -131. Put x, i, 1 in decreasing order.\nAnswer: 1, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12854 - 12104. What is the greatest common factor of 2375 and v?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 2*w - 25, -5*w - 13 = 3*b + b. Let v = 2 + b. Suppose 3*p = -2*d - d, -d - v = 2*p. Solve -3*l + 17 = -4*r, -r + 3*r = -d*l - 15 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15767 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*w + 49, 0 = -x - 2*x - 2*w - 24. Let m = 10 + x. Suppose m = 2*f - 0 - 8. What is the greatest common factor of f and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00238203121 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4045 + 8545. Does 15 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1187 or -1182?\nAnswer: -1182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 + 135. Calculate the remainder when x is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*u - 30*u - 18*u - 31*u + 89*u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11019082, 11019081, 11019080, 11019079, 11019078?\n\"Answer: -y + 11019083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 - 129*m + 279. Calculate s(-45).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -962\/635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*t**4\/5 - 2*t**3\/5 - 72*t**2\/5 - 72*t\/5 + 32\/5 = 0. Calculate t.\nAnswer: -2, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2 = 26. Let g(c) = -c - 5. Let v be 158\/18 + 4\/18. Let i = -3 + v. Let x(z) = -z - 4. Calculate a*x(j) + i*g(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22908 and -0.04404.\nAnswer: -1008.86832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 + 17*b + 14. Let w be h(-4). Calculate the remainder when 27 is divided by 13 - (4\/w)\/(6\/9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (25 + -9)) + 1 + -44 - -6?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:11 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceaccvj. Give prob of picking 1 j, 1 c, and 1 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29568 is divided by 9828.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*h**2 + h**3 - 4*h**2 + 2*h**2 + 15*h**2 as p*h**2 + i + r*h + s*h**3 and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*z - 4, -3*k - 3*z = 0. What is the units digit of 2648\/72 + k\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1339*l - 20 = 1334*l, -5*l - 13 = 3*z + 18 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34812 is divided by 6953.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (0 + 14) - (3061 + -3081)) + 1 + -38.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -572.65*-0.5.\nAnswer: 286.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -5. Factor -2*s**2 - 6*s**4 - k*s**3 - 11 - 2*s**5 + 6*s + 6*s**2 + 13.\nAnswer: -2*(s - 1)*(s + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3931 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 15*r - 40. Let c be w(-11). Suppose -7 = 3*t - 4*n, 15*t = 16*t + 5*n - c. Which is bigger: 12 or t?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9719389901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3185866289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 - -cecc?\nAnswer: cebb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47 and 758345.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35.57 and -2.\nAnswer: 71.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 272?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1545*b - 482*b + 3532 + 6035 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kttk when four letters picked without replacement from {g: 2, t: 4, h: 6, z: 2, k: 2, i: 1}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6818, -7098, -7360, -7604, -7830, -8038?\nAnswer: -8228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 268159670.63.\nAnswer: 268159670.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*3\/(-6) + 1. Let x(n) = -n**2 - n + 11. What is the remainder when x(a) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/21)\/((-2)\/7). Let t = c + 25\/14. Is t at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 6*v**2 + 6*v**2)*(2*v**2 + 2*v + 8 - 8).\nAnswer: 4*v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - 95966*t**3 - 2291305749*t**2 + 530813856820*t - 30594947812900.\nAnswer: -(t - 115)**2*(t + 48098)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -16*w**3 - w**2 + 1. Let t be p(-1). What are the prime factors of (-14)\/1*(-8)\/t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2918.\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18\/(-15))\/3 - (-66)\/15. Suppose a - 3*a = 0. Let g = a - 2. Put -4, g, -3, k in descending order.\nAnswer: k, g, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 11:47 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 73 + 124 = 0. Let y = b + 330. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4046 and 192542.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7252)\/4662*6\/(-14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen eighths of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55453956619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 14362790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/17)\/w)\/w)\/w**(-18)*(w**1)**(4\/15) assuming w is positive.\nAnswer: w**(4163\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1282706 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15319*n**5 + 2*n**4*r**3 - n**2*r**2 - 272*n*r**3 - r - 1 wrt n.\nAnswer: -919140*n**2 + 48*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9)*18\/(-4). Suppose 14*j - 2*j - 24 = 0. Differentiate 1 - j + 0 - 11*a**3 + 14*a**y with respect to a.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.5 (c) -26 (d) 0.0397 (e) 1\/4 (f) -2\/5 (g) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 6*c**2 + 2*c + 6. Let t be z(-6). Let y be 33\/t + (-3)\/(-6). List the prime factors of (-3)\/(y - -2) + 9.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/8 and 3552 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2597400 to the nearest ten thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1145056694, 2290113387, 3435170080?\nAnswer: 4580226773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 691350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 27. Let r = 2.4 - 14.4. Let u = r - q. Is u greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-6))\/(2327\/51194)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**3 + 19*x**2 + 4*x + 54. What is y(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 + 7*y**2 + 3*y - 3. Let u(v) = v**3 - 4*v**2 - v + 1. Let q(p) = -3*c(p) - 5*u(p). Factor q(m).\nAnswer: (m - 2)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from {u: 1, e: 1, o: 1, j: 2, f: 1, b: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, a: 8, k: 4}. Give prob of picking 1 a and 1 d.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 8, 7, 1 in descending order.\nAnswer: 8, 7, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11191708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 406202 and 830?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8610 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3) - (-10)\/24. Let t = 0 - 0. Is q at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**4 - 5*g**4 + 7*g**4)*(5 + 7 + 0) - 2*g**4 - g + g.\nAnswer: 58*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 1. Let y = -221967 - -221968. Sort -2\/3, -4, o, y in increasing order.\nAnswer: -4, -2\/3, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5230 + 7236. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -23 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f. Let t(n) = 44*n - 3. Determine t(g(c)).\nAnswer: 44*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*a + 2 - 102 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22 + 11 + 34 + -3 + -6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**4*y - 2*w**3*y**2 + 87*w*y**2 + w wrt w.\nAnswer: 24*w**2*y - 12*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63396 and 36?\nAnswer: 63396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161030 + 475294 = -57*k + 69*k. List the prime factors of k.\nAnswer: 13, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, -4, -5 in decreasing order.\nAnswer: 1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8721 (base 9) to base 7\nAnswer: -24466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -9959?\nAnswer: 9962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**7\/2940 + s**6\/420 - s**5\/140 + s**4\/84 - 3*s**3\/2 + 9*s. Let a(v) be the second derivative of o(v). Factor a(i).\nAnswer: -2*(i - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78 or 11782?\nAnswer: 11782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -27*n**2. Let z(m) = 11*m**2 + 18*m**2 - 46*m**2 + 19*m**2. Give c(z(s)).\nAnswer: -108*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1014854.\nAnswer: 2, 557, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**7*x)\/x**(-3\/4))\/((x\/(x**3*x)*x)\/x**6) assuming x is positive.\nAnswer: x**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 763462336 and 793.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*y + 206*y = 3118 - 326 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-11*(-636)\/1188*3\/(-1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*w = 52, 6*a + 4*w - 19 - 93 + 62 = 98 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06369 + -0.13145. What is m rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 20*d + 500. Determine m(-21).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 571 = 16*d + 108*d - 669 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 300\/700*(-14)\/12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 11:23 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 90081113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6939?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319897?\nAnswer: 319897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 6*a - 11 = 0. What is the greatest common divisor of 44 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51060000 rounded to the nearest one million?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/(-5)*(5\/9)\/(540\/(-648))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4249*o - 8330*o + 4286*o + 2.\nAnswer: 205*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/3132 and 61\/540.\nAnswer: 15660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8846405.\nAnswer: 5, 1769281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 5:02 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245321.\nAnswer: 245321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 12 - 2 = 0, 0 = -r + h - 3906099. Let k(a) = -6703052*a. Let x be k(-2). Let t = x + r. What is t rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 - 10?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a week in hours?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkctkkcqtckcckkctq. What is prob of sequence tk?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l*l\/l**(4\/11))*l**(5\/6)*l*l**0*l**(-9)\/l assuming l is positive.\nAnswer: l**(-515\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5533188 is divided by 1844395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 19587.54s?\nAnswer: 19587540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/((88\/(-8))\/(-330)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44191*n - 43367*n + 11536 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - m + 12. Let x be a(0). Let l be (x\/(-2))\/(-2) + 4. Let h = 23 + -21. What is the biggest value in l, h, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 2713442.\nAnswer: 13\/2713442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8, -7, -6, -5?\n\"Answer: i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 + 66*d**2 - 11160*d + 14. What is r(60)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -27904 times 0.3?\nAnswer: -8371.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -97498*z + 49. Let u be v(-12). Suppose -3*l + 5*c - u = 0, -2*l + 3*c = 480025 + 299990. What is l rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddlv when four letters picked without replacement from {d: 2, n: 1, f: 1, l: 1, v: 1, x: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -330, 5, -1\/7, -20?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829231 != 4829234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1 + 2 + y + y + y**2. Let o(t) = -t. Let b(m) = 5*o(m) - v(m). What are the prime factors of b(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.060551 and 6675.\nAnswer: 404.177925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -34.17. Let r = d - -0.63. Let k = r - 0.6. What is the second smallest value in -2\/3, k, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375268 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 147 = s, 5*t + 4*s = -0*s + 137. Suppose 0 = -36*y + 72*y + 1656. Let o = t - y. Calculate the greatest common factor of o and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 155, -5, 4, 19 in descending order.\nAnswer: 155, 19, 8, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (161\/(-294)*-16)\/(16\/168)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 180 - 159.5. Let p = n + -20.4. Which is the third smallest value? (a) 0.03 (b) -2\/17 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31631.9 weeks to microseconds.\nAnswer: 19130973120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84867 is divided by 28107.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1222781.2 * 0.4\nAnswer: -489112.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2494822192?\nAnswer: 2, 155926387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 15. Let u(l) = -l**3 + 9*l**2 - 2*l - 8. Is u(j) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34179895?\nAnswer: 5, 6835979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1494 and 762?\nAnswer: 113.8428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -363363, -726899, -1090435, -1453971, -1817507, -2181043?\n\"Answer: -363536*b + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2692 + 13592. What is w rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(160\/70) - -5. Which is the third biggest value? (a) s (b) 0.073 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}